 - c*p - 1/4 + 31/8*p**2 + 15/4*p**3 = 0. Calculate p.
-1/2, -1/4, 2/7, 1
Let o be (-1210)/(-8712) + ((-2)/(-8) - 5/36). Let c(u) be the second derivative of o*u**2 - 13*u + 0 - 1/24*u**3 - 1/48*u**4. Factor c(l).
-(l - 1)*(l + 2)/4
Let 3168 + 32 - 50740*i + i**3 + 43*i**2 + 9*i**2 + 51480*i = 0. Calculate i.
-32, -10
Let d = -1653 - -9983/6. Let z = d - 313/30. Find c such that 4/5*c**2 - 2/5*c**3 - 2/5*c**4 + 1/5*c**5 + 1/5*c - z = 0.
-1, 1, 2
Let w(l) be the first derivative of -l**6/60 - 97*l**5/50 + l**4/20 + 97*l**3/15 - l**2/20 - 97*l/10 - 3411. What is f in w(f) = 0?
-97, -1, 1
Let u = -39 + 43. Solve 11*c**u + 4*c**3 - 26*c**4 - 4*c + 13*c**4 + 2*c**2 = 0 for c.
-1, 0, 1, 2
Suppose -121*w + 25 = 48 - 386. Let g(v) be the second derivative of 0 + 3/7*v**2 + w*v + 3/140*v**5 + 5/14*v**3 + 1/7*v**4. Let g(u) = 0. Calculate u.
-2, -1
Let z(j) be the third derivative of j**6/1980 - j**5/110 - 101*j**3/6 + 39*j**2. Let v(l) be the first derivative of z(l). Factor v(x).
2*x*(x - 6)/11
Suppose 10 - 30 = j. Let k = j + 27. Suppose -b**2 + 135*b**5 - 136*b**5 - k*b**3 + 4*b**3 - 3*b**4 = 0. What is b?
-1, 0
Let 597/7*z**2 + 141/7*z**3 + 306/7 + 759/7*z - 3/7*z**4 = 0. Calculate z.
-2, -1, 51
Let x(z) = -3*z**4 + 2*z**3 + 12*z**2 + 6*z - 5. Let r = 182 - 179. Let d(l) = -2*l**4 + 3*l**3 + 12*l**2 + 7*l - 3. Let p(g) = r*x(g) - 4*d(g). Factor p(v).
-(v + 1)**3*(v + 3)
Let f(n) be the second derivative of -3/2*n**6 + 21*n - 6*n**2 + 33/4*n**4 - 1 - 21/10*n**5 + 0*n**3. What is t in f(t) = 0?
-2, -1/3, 2/5, 1
Let a(b) = 3*b + 1. Let j be a(1). Suppose -5*s = -c - 51, 2*c = -3*s + 13 + 28. Find n such that s*n**2 - 75*n - 3*n**2 + j*n**2 + 55*n = 0.
0, 5/3
Let s(u) be the second derivative of 1/114*u**4 + 5329/19*u**2 + 19 + 4*u + 146/57*u**3. What is t in s(t) = 0?
-73
Suppose 0 = -17*f + 72 + 13. Factor -4*i**f + 2691*i**2 - 116*i**3 - 2095*i**2 + 242 - 38*i**4 - 682*i + 2*i**5.
-2*(i - 1)**3*(i + 11)**2
Let u(y) = y**2 + 40*y - 37. Let z be u(-41). Suppose -5*o = -z*w - 29, -3*o - w + 24 = 2*o. Find n, given that 0 - 10/3*n + o*n**3 + 5/3*n**2 = 0.
-1, 0, 2/3
Factor 2741 + 10584*b + 1734*b**2 - b**4 - 3*b**4 - 282*b**2 + 16*b**3 + 12811.
-4*(b - 24)*(b + 2)*(b + 9)**2
Let r(p) be the first derivative of -2*p**3/3 + 360*p**2 - 1482. Find u such that r(u) = 0.
0, 360
Let r be (-2)/(-3) + 20/(-12)*-317. Find d such that -r*d**2 - 63 - 276*d - 85 + 112 = 0.
-6/23
Let d(y) = 43*y**2 - 624*y - 7. Let x(j) = -6*j**2 + 2*j + 1. Let l(q) = -5*d(q) - 35*x(q). Factor l(k).
-5*k*(k - 610)
Let n(f) be the third derivative of 330*f**2 + 2/105*f**7 + 0*f**3 + 1/6*f**6 - 2/5*f**5 + 0*f**4 + 0 + 0*f. What is m in n(m) = 0?
-6, 0, 1
Let b(k) = 6*k**2 - 2*k + 4. Let m(i) = 5*i**2 - i + 2. Suppose 9*u - 8 = 7*u. Let h(g) = u*m(g) - 3*b(g). Factor h(y).
2*(y - 1)*(y + 2)
Solve -45*x - 6*x**2 - 200 + 180 - 17*x = 0 for x.
-10, -1/3
Let p be 30/14 - ((-1024)/(-256))/((-56)/6). Find y, given that 20/7 - p*y - 2/7*y**2 = 0.
-10, 1
Let c(g) be the second derivative of 32*g + 0 + 2*g**3 + 3/2*g**2 - 33/80*g**5 - 3/16*g**4 + 1/10*g**6. Determine z so that c(z) = 0.
-1, -1/4, 2
Let o = -179 - -219. Let a be (30/o)/((-9)/48*-14). Factor 2/7*z**5 + 0 + a*z + 0*z**4 - 4/7*z**3 + 0*z**2.
2*z*(z - 1)**2*(z + 1)**2/7
Let v(f) be the third derivative of 0*f - 35/204*f**4 - 13/510*f**5 + 0 + 49/51*f**3 - 1/1020*f**6 + 86*f**2. Determine b, given that v(b) = 0.
-7, 1
Let c(w) be the third derivative of 13/720*w**6 + 0*w**4 + 0 - w + 1/60*w**5 + 0*w**3 + 2/315*w**7 + 3*w**2 + 1/2016*w**8. Suppose c(i) = 0. What is i?
-6, -1, 0
Suppose i + 5511 = q + 5520, 0 = 2*q - 5*i + 51. Suppose 2*s + 0 - 1/3*s**4 - 1/3*s**q - 4/3*s**3 = 0. What is s?
-3, -2, 0, 1
Suppose 2*a + 3*s = 18, 0 = 4*a - 8*a - 3*s + 24. Let 3*m**3 - 2*m**2 - m + 23 + 27 + 51*m - 5*m**a = 0. Calculate m.
-5, -1, 5
Let r(f) be the second derivative of 0 - 10/21*f**3 - 5/21*f**4 - 2/105*f**6 + 12/7*f**2 + 1/7*f**5 + 71*f. Solve r(v) = 0.
-1, 1, 2, 3
Let i be -7 - 8 - 45/(-3). Let s(b) be the second derivative of 1/6*b**4 + 0*b**2 - 1/10*b**5 + 1/3*b**3 + 16*b + i - 1/15*b**6. Solve s(h) = 0.
-1, 0, 1
Solve -970/13*t + 800/13 - 2/13*t**3 + 172/13*t**2 = 0 for t.
1, 5, 80
Let v(h) be the first derivative of 0*h + 0*h**4 + 2/35*h**5 - 8/21*h**3 + 0*h**2 - 19. Factor v(b).
2*b**2*(b - 2)*(b + 2)/7
Let i be (658/47 - 12)*(1/6 - 0). Factor -i*j**2 - 4/9*j - 1/9.
-(j + 1)*(3*j + 1)/9
Let k be 1314/11169 - 1/((-17)/32). Let b be ((-6)/153)/(1/(-3)). Factor 4/17 + 6/17*u + b*u**k.
2*(u + 1)*(u + 2)/17
Suppose 58*s + 35 = 7*q + 61*s, 0 = -2*q + 2*s - 10. Factor 22/15*z + 2/15*z**3 - 14/15*z**q - 2/3.
2*(z - 5)*(z - 1)**2/15
Let b(m) = 5*m**3 + 120*m**2 - m - 20. Let j be b(-24). Factor -3*u + 4*u**4 + j - 9*u**3 - 4 + 9*u**2 - u**4.
3*u*(u - 1)**3
Let -4/17*z**2 - 42/17 - 46/17*z = 0. What is z?
-21/2, -1
Let o(x) be the third derivative of -x**7/4200 + x**6/900 + 25*x**3/6 - 2*x**2 - 28*x. Let l(a) be the first derivative of o(a). Factor l(g).
-g**2*(g - 2)/5
Factor -177*v + 944017 + 3*v**2 - 944017.
3*v*(v - 59)
Let c(o) be the first derivative of 32/15*o**3 + 0*o**2 + 0*o + 2*o**4 + 16/25*o**5 + 1/15*o**6 + 243. Suppose c(h) = 0. Calculate h.
-4, -2, 0
Suppose t + 10 - 5 = 2*q, -2*q + 10 = 0. Let b(f) = 5*f**3 - 7*f**2 - 8*f - 5. Let m(y) = -y**2 + y - 1. Let u(i) = t*b(i) - 15*m(i). Factor u(g).
5*(g - 2)*(g + 1)*(5*g + 1)
Suppose -1/4*s**4 - 353/2*s**3 - 123903*s - 126013/4*s**2 - 123201 = 0. What is s?
-351, -2
Let k(z) be the third derivative of 0*z - 1/30*z**5 + 78*z**2 - 13/12*z**4 + 16*z**3 + 0. What is o in k(o) = 0?
-16, 3
Let x(o) be the third derivative of -o**6/600 - 23*o**5/300 + 19*o**4/10 + 18*o**3 - 1172*o**2. Determine k so that x(k) = 0.
-30, -2, 9
Let s(n) be the first derivative of -n**5/35 + 13*n**4/28 - 10*n**3/21 - 12*n**2/7 - 9224. Factor s(j).
-j*(j - 12)*(j - 2)*(j + 1)/7
Let i(p) be the first derivative of -4*p**5/5 - 23*p**4 - 392*p**3/3 - 296*p**2 - 288*p - 458. Factor i(m).
-4*(m + 1)*(m + 2)**2*(m + 18)
Let t(p) = -15*p**2 + 26*p - 106. Let r(h) = 7*h**2 - 14*h + 53. Let c(i) = -13*r(i) - 6*t(i). Let v be c(22). Factor -v*d**2 + 35/2*d - 15/2*d**3 + 25.
-5*(d - 1)*(d + 5)*(3*d + 2)/2
Let i be (8/(-80))/(((-3)/4)/((-8)/(-16))). Let l(g) be the third derivative of 0*g + 0 - 1/6*g**4 + 4/3*g**3 - 19*g**2 - i*g**5. Suppose l(f) = 0. What is f?
-2, 1
Let s(v) be the third derivative of -5*v**8/336 + 193*v**7/14 - 5256*v**6 + 1026432*v**5 - 97044480*v**4 + 1074954240*v**3 - 1531*v**2. Factor s(z).
-5*(z - 144)**4*(z - 3)
Suppose 3*u - i - 13 = 0, 4*u + 3*i + 12 - 25 = 0. Let o be u/22 - 612/(-264). Factor 5/2*l**4 + 0 + l**3 - o*l**2 - l.
l*(l - 1)*(l + 1)*(5*l + 2)/2
Let l = -11 - -9. Let r be l*5/(-2)*4/5. Solve i**r - i**5 - 5*i**3 + 2*i**2 + 3*i**4 + 39 - 39 = 0.
0, 1, 2
Suppose 34 = 9*o - 20. Suppose 10 = 2*r, o*z + r = 10*z + 5. Factor -3/7*k**3 + z*k + 6/7*k**2 + 0.
-3*k**2*(k - 2)/7
Let w = -1348 - -1353. Suppose -w*c = -2*a - 18, 0 = 185*c - 190*c - 2*a + 2. Factor -39/5*v - 36/5 - 3/5*v**c.
-3*(v + 1)*(v + 12)/5
Let m(l) be the third derivative of 0 - 1/5*l**4 - 64*l**2 + 11/100*l**5 + 0*l - 3/10*l**3. Factor m(h).
3*(h - 1)*(11*h + 3)/5
Let d(n) be the first derivative of -n**3/3 - 267*n**2 - 71289*n - 1725. Factor d(k).
-(k + 267)**2
Suppose -3/4*u**2 + 0 + 687/2*u = 0. Calculate u.
0, 458
Let b be ((-648)/88 + 9)/(156/3432). Determine d, given that -b + 111/2*d**2 + 6*d**3 - 21*d - 9/2*d**4 = 0.
-3, -2/3, 1, 4
Factor -4231*v**4 + 447*v**2 + 1408*v + 186*v**2 + 39*v**2 - 4226*v**4 + 8455*v**4 + 72*v**3.
-2*v*(v - 44)*(v + 4)**2
Let t(h) = 3*h**3 + 925*h**2 - 1473*h - 1842. Let p(z) = -3*z**3 - 924*z**2 + 1395*z + 1842. Let q(b) = 7*p(b) + 6*t(b). Factor q(l).
-3*(l - 2)*(l + 1)*(l + 307)
Let a be 1386/84 + 3/(-2). Determine z, given that -44*z**5 - 3*z**3 - 4*z + 7*z**2 + 2*z**4 - a*z**2 + 45*z**5 = 0.
-2, -1, 0, 2
Let i = 27640/67 + -248492/603. Let -4/3*l**3 - i*l**5 - 4/3*l**4 - 4/9*l**2 + 0*l + 0 = 0. What is l?
-1, 0
Factor 10*c**2 + 531*c**2 - 129*c - 3*c**3 - 792 - c**3 - 141*c**2 - 259*c.
-4*(c - 99)*(c - 2)*(c + 1)
Let z(j) = -5*j + 42. Let k be z(9). Let q(h) = -h**2 - 2*h. Let g(w) = -7*w**2 - 14*w - 15. Let r(y) = k*g(y) + 24*q(y). What is t in r(t) = 0?
-5, 3
Let c(w) be the t