 2
Let q(k) = -13*k**2 - k + 5. Let v(u) = 25*u**2 - 1844*u - 851939. Let m(y) = 10*q(y) + 5*v(y). Suppose m(f) = 0. Calculate f.
-923
Let -6*a**3 + 3*a**3 - 936 - 1323360*a - 57*a**2 + 1323870*a = 0. Calculate a.
-26, 3, 4
Let v be -7*(1 - (-22)/(-14)). Let c be (-2)/5 - (-2)/5. Factor 380*w**3 - 368*w**3 - 15*w**5 + c*w**4 - 24*w**v.
-3*w**3*(w + 2)*(5*w - 2)
Factor 0 + 1067/8*v**3 + 1069/8*v - 2137/8*v**2 + 1/8*v**4.
v*(v - 1)**2*(v + 1069)/8
Factor 4/7*z**4 + 0 - 128/7*z**2 - 40/7*z**3 + 1536/7*z.
4*z*(z - 8)**2*(z + 6)/7
Let s(g) = -g**3 - 28*g**2 - 26*g + 29. Let z be s(-27). Let w be ((-12)/((-6)/z))/2. Factor 1/4 + 1/8*r**w + 3/8*r.
(r + 1)*(r + 2)/8
Determine t so that 358*t + 26*t + 33935 - 6933 + 4118 + t**2 + 5744 = 0.
-192
Let i(m) be the first derivative of -m**5/5 - 2*m**4/3 + 8*m**3/3 + 16*m**2 + 100*m - 68. Let w(l) be the first derivative of i(l). Solve w(k) = 0.
-2, 2
Let i(g) be the second derivative of g**7/210 + 3*g**6/80 + g**5/12 - 105*g**2/2 + 9*g + 5. Let y(z) be the first derivative of i(z). Factor y(v).
v**2*(v + 2)*(2*v + 5)/2
Let z be 6/(-4)*((-15360)/36 - -6). Factor 27436 + z*f**2 - 4*f**3 - 139*f**2 - 264*f**2 - 4332*f.
-4*(f - 19)**3
Let v(a) be the first derivative of -2*a**5/5 - 5*a**4 - 16*a**3 - 22*a**2 - 14*a + 3453. Factor v(x).
-2*(x + 1)**3*(x + 7)
Let g(h) be the first derivative of -h**5/5 + 7*h**4/2 - 23*h**3 + 70*h**2 - 100*h + 2925. Find p such that g(p) = 0.
2, 5
Let n be (1/(-6))/(19/48830). Let l = -427 - n. Factor -2/3*z**2 - 2/3 + l*z.
-2*(z - 1)**2/3
Let a be -4 - 9/((-9)/8). Suppose -6*o - 3*m = -11*o + 6, 0 = -4*o - 2*m - a. Factor -1/2*t**3 - 1/2*t**2 + 0*t + o.
-t**2*(t + 1)/2
Let k(z) be the second derivative of -728/3*z**3 - 47*z**4 + 26/5*z**5 + 0 - 392*z**2 - 2/15*z**6 + 52*z. Factor k(i).
-4*(i - 14)**2*(i + 1)**2
Let d(o) be the third derivative of o**7/350 + 32*o**6/25 + 8319*o**5/50 + 4064*o**4/5 + 16129*o**3/10 - 2*o**2 + 564*o. Factor d(s).
3*(s + 1)**2*(s + 127)**2/5
Let r(b) be the third derivative of 2*b**7/735 + 19*b**6/210 - 29*b**5/35 + 113*b**4/42 - 92*b**3/21 + 12273*b**2. Solve r(g) = 0.
-23, 1, 2
Suppose -191*p + 12*p = 85*p - 777 - 279. Determine f, given that -72/5*f**3 - 6/5*f**5 + 78/5*f + 8*f**p - 36/5 - 4/5*f**2 = 0.
-1, 2/3, 1, 3
Let k(q) = -3*q**2 - 43*q - 7. Let x be k(-14). Let 31 + 11*w**2 - 14*w + w**4 - w**2 + 8*w**3 - w**5 - 7 - 35*w**2 + x*w**3 = 0. Calculate w.
-4, -1, 1, 2, 3
Determine c, given that 444*c**2 + 1372*c**5 - 1729*c**3 + 6324*c + 1764*c**4 - 3207*c - 3153*c = 0.
-2, 0, 3/14, 2/7
Find p such that -2/3*p**2 + 742 - 304/3*p = 0.
-159, 7
Let z(s) = s**3 + 4*s**2 - s - 4. Let c be z(-4). Suppose -4 = -2*u - c*u. Find g such that 4*g**u + 4*g - 15 + 13 + 2 = 0.
-1, 0
Let s(u) be the second derivative of 7*u**5/20 - 25*u**4/3 + 371*u**3/6 - 49*u**2 + 10*u + 14. Determine z so that s(z) = 0.
2/7, 7
Let j(m) be the first derivative of -2*m**3/27 - 10*m**2/3 - 208*m/9 + 769. Factor j(h).
-2*(h + 4)*(h + 26)/9
Let f(p) be the first derivative of 224/25*p**5 - 16/5*p - 49/30*p**6 + 58/5*p**2 + 38 - 208/15*p**3 - 67/20*p**4. Solve f(l) = 0.
-1, 2/7, 1, 4
Let c(a) be the first derivative of -a**4/18 + 28*a**3/27 - 53*a**2/9 + 80*a/9 - 1131. Suppose c(u) = 0. What is u?
1, 5, 8
Suppose b + 6 = 2*j, 31*j - 6 = 29*j - 4*b. Factor -5251*x - 3*x**j + 11*x**3 + 1 + 5219*x + 2*x**2 - 9.
2*(x - 2)*(x + 2)*(4*x + 1)
Let i(w) be the third derivative of -w**6/40 + 3*w**5 - 117*w**4/8 + 29*w**3 + 3*w**2 + 288. Determine r, given that i(r) = 0.
1, 58
Let v(b) be the second derivative of -b**4/36 - 56*b**3/9 - 4421*b + 1. Find y such that v(y) = 0.
-112, 0
Let b be 529 - 5/((-25)/35). Find d, given that -b*d**2 - 56*d**4 - 27*d + 716*d**3 + 117*d + 6*d = 0.
0, 2/7, 1/2, 12
Let f(r) = 5*r**3 - 60*r**2 - 135*r - 5. Let h(n) = n - 1. Let c(u) = -f(u) + 5*h(u). Suppose c(d) = 0. Calculate d.
-2, 0, 14
Let q be 10005/(-6)*935/173250 - -9. Let v(b) be the third derivative of q*b**6 - 1/252*b**4 + 1/63*b**3 + 0*b - 1/630*b**5 - 14*b**2 + 0. Factor v(s).
2*(s - 1)**2*(s + 1)/21
Suppose 285 - 49*h**2 - 80*h - 10*h**2 + 54*h**2 = 0. Calculate h.
-19, 3
Suppose 239*s + 4*s = 1 - 1. What is i in 3/5*i**2 - 24/5*i + s = 0?
0, 8
Let a(o) be the second derivative of o**5/80 + 17*o**4/12 + 65*o**3/8 - 6148*o. Suppose a(l) = 0. Calculate l.
-65, -3, 0
Let s = 956 - 946. Let z be (6/(-4))/(1/(-2)). Suppose 66*n**4 - 4*n**2 - 6*n**z + 3 - 3*n**5 - 75*n**4 + 9*n + s*n**2 = 0. What is n?
-1, 1
Factor 2*s**2 + 2047/2*s - 256.
(s + 512)*(4*s - 1)/2
Let c(u) = u**2 - 37*u - 213. Let x be c(42). Let d be x + (-33)/(-12) + 54/24. Factor -1/4*g**5 - 9*g**3 + 0*g - 3*g**4 + 0*g**d + 0.
-g**3*(g + 6)**2/4
Let n = -119723/4 - -29931. Find i, given that -1/4 - n*i**2 - 1/2*i = 0.
-1
Let g = 5182/17941 + -8/2563. Factor g*a**2 + 132/7*a + 2178/7.
2*(a + 33)**2/7
Let j = -33 - -57. Factor j*o**3 + 9*o**4 + 6*o + 24*o**2 + 6 - 3*o**2 - 6.
3*o*(o + 1)**2*(3*o + 2)
Determine q, given that 40/7*q + 38/7*q**2 + 0 - 4/7*q**3 - 2/7*q**4 = 0.
-5, -1, 0, 4
Let i(y) be the first derivative of -45*y**4/4 + 340*y**3/3 - 210*y**2 + 3823. Factor i(b).
-5*b*(b - 6)*(9*b - 14)
Suppose h + 4 = n, -2*n - 4*h + 913 = 905. Factor -3/8*o**2 + 0 + 3/8*o**n + 15/8*o**3 - 15/8*o.
3*o*(o - 1)*(o + 1)*(o + 5)/8
Suppose -46/7*q**4 - 1881792*q - 600336/7*q**2 - 9104/7*q**3 + 1149984/7 = 0. What is q?
-66, 2/23
Let 15/2*w**2 - 1365 + 4085/2*w = 0. What is w?
-273, 2/3
Let v(h) be the third derivative of -h**7/735 - 19*h**6/140 - 36*h**5/35 - 53*h**4/21 - 2*h**2 + 1594*h - 3. Factor v(p).
-2*p*(p + 2)**2*(p + 53)/7
Let k(a) = 6*a**3 - 8*a**2 - 44*a + 67. Let z(s) = 5*s**3 - 10*s**2 - 43*s + 66. Let w(t) = 6*k(t) - 7*z(t). Suppose w(j) = 0. What is j?
-20, -3, 1
Suppose 170*t + 80*t**4 + 1098*t**3 + 1413*t**3 + 660*t**2 + 249*t**3 + 705*t**2 = 0. What is t?
-34, -1/4, 0
Let f be -3*2/(-2 - 0). Suppose 29*m - 36*m = -21. What is s in 2*s**f + 3*s**2 - 4 + m*s - s**3 + 5 + 0*s**2 = 0?
-1
Let z(w) be the second derivative of 3*w**5/40 - 19*w**4/8 - 45*w**3/4 + 189*w**2/4 + 4*w - 475. Let z(r) = 0. Calculate r.
-3, 1, 21
Let g(s) be the second derivative of -s**4 + 65*s + 0 + 27/100*s**5 + 9/5*s**2 - 23/10*s**3. Determine h so that g(h) = 0.
-1, 2/9, 3
Let g(u) = -u**2 + u - 1. Let s(z) = 5*z**4 + 620*z**3 + 18640*z**2 - 39110*z + 19895. Let r(o) = 50*g(o) + s(o). Factor r(f).
5*(f - 1)**2*(f + 63)**2
Let m(x) = 11*x**3 - 342*x**2 + 6033*x - 31119. Let k(i) = 5*i**3 - 171*i**2 + 3018*i - 15558. Let z(q) = 5*k(q) - 2*m(q). Factor z(v).
3*(v - 24)**2*(v - 9)
Let w be ((-1 - 0) + 4/3)/(845/507). Let u(c) be the first derivative of 4/3*c**3 - 16 - 3/10*c**4 - w*c**2 - 12/5*c. Factor u(g).
-2*(g - 3)*(g - 1)*(3*g + 2)/5
Let u(n) = -n**2 + 25*n + 176. Let p be u(-7). Let h be (-11)/(605/10) - p/143. Find l, given that -h*l**2 - 2/13*l + 0 = 0.
-1, 0
Let t be -22575 + 22647 - (-1 + 0 - -1). Factor 0 + 64*m**2 + 70/9*m**3 + 2/9*m**4 - t*m.
2*m*(m - 1)*(m + 18)**2/9
Let l(f) be the second derivative of -f**4/4 + 105*f**3 + 636*f**2 + 2844*f. Factor l(v).
-3*(v - 212)*(v + 2)
Let p(o) be the second derivative of 2/25*o**5 - 1/2*o**4 + 8/15*o**3 + 3/5*o**2 + 0 - 227*o. Factor p(w).
2*(w - 3)*(w - 1)*(4*w + 1)/5
Let u(o) be the third derivative of o**5/240 + 99*o**4/32 + 293*o**3/6 + 10093*o**2. Solve u(b) = 0.
-293, -4
Let j = 66 - 36. Suppose 6*d - j = -18. Factor 0*q**2 - 6*q**3 + 27*q + 3*q**4 - 9*q**d - 27*q.
3*q**2*(q - 3)*(q + 1)
Factor 5/6*z**2 - 2/3*z + 0 - 1/6*z**3.
-z*(z - 4)*(z - 1)/6
Let n(o) be the second derivative of -o**6/30 - 9*o**5/5 - 61*o**4/3 - 96*o**3 - 224*o**2 + 179*o. Factor n(k).
-(k + 2)**2*(k + 4)*(k + 28)
Let u(d) = -7*d**2 + 378*d - 3918. Let k be u(14). Solve 6/7*q**3 + 16/7*q**4 - 16/7*q**k - 6/7*q + 0 = 0.
-1, -3/8, 0, 1
Suppose 89*z = 94*z + 280. Let c = 58 + z. Find r, given that -2/9*r**2 - c*r + 0 = 0.
-9, 0
Let g(x) be the second derivative of -x**7/168 - x**6/12 + 2*x**5/3 - 47*x**3/6 - 3*x + 4. Let y(c) be the second derivative of g(c). Factor y(k).
-5*k*(k - 2)*(k + 8)
Let m(d) be the third derivative of d**6/600 - d**5/20 + 3*d**4/20 + 36*d**3/5 + 7066*d**2. Suppose m(h) = 0. Calculate h.
-3, 6, 12
Let k(t) be the first derivative of 34*t**3/33 - 202*t**2/11 - 48*t/11 + 136. Factor k(i).
2*(i - 12