 5*x + 42. Let q be a(-12). Let k(n) = n**3 + 18*n**2 + n + 21. Let p be k(q). Factor 0 + 0*y**2 + 3/2*y**5 + y**p + 0*y - 5/2*y**4.
y**3*(y - 1)*(3*y - 2)/2
Suppose -45 = -2*t + 1. Suppose -t - 1 + 2 - 8 + 9*z + 3*z**2 = 0. Calculate z.
-5, 2
Let r be 2/(-2 - (-24)/9). Factor -21*q**4 + 6*q**r + 3*q**5 + 21*q**5 - 9*q**5.
3*q**3*(q - 1)*(5*q - 2)
Let v(q) = -q**3 - 33*q**2 - q - 33. Let s be v(-33). Let o(r) be the second derivative of 3/100*r**5 - 1/10*r**4 + s + 0*r**2 + 1/10*r**3 + 2*r. Factor o(n).
3*n*(n - 1)**2/5
Let n(v) be the first derivative of -v**5/25 - 3*v**4/10 + 178. Find g such that n(g) = 0.
-6, 0
Let a = 10 + -6. Solve -5 - 4 + a*g**2 - 2 - 16*g + 23 = 0.
1, 3
Let q(u) be the third derivative of -u**5/27 + 23*u**4/108 - 2*u**3/9 + 58*u**2. Find k, given that q(k) = 0.
3/10, 2
Let r(c) be the first derivative of c**4/16 - 13*c**3/4 + 507*c**2/8 + 41*c + 46. Let a(n) be the first derivative of r(n). Determine f, given that a(f) = 0.
13
Determine x so that -74*x - 15 + 15 - 12*x**2 + 4*x**5 + 12*x**4 - 44*x**3 + 114*x = 0.
-5, -1, 0, 1, 2
Suppose 0 = -4*x + 1 - 1. Suppose -2*h = -5*t - x*h + 8, -3*t + 5 = -h. Factor 0 + 2/3*l**t - 2/3*l.
2*l*(l - 1)/3
Let c(q) be the third derivative of -q**6/780 + q**5/65 - q**4/13 + 8*q**3/39 - q**2 - 26. Factor c(p).
-2*(p - 2)**3/13
Let f be (-10)/(-4) - 399/190. Let s(i) = 3*i**3 - 1. Let c be s(1). Determine p so that -3/5 - f*p + 1/5*p**c = 0.
-1, 3
Let c(a) = a**2 + 3*a - 19. Let q be c(0). Let v(b) = -b - 16. Let p be v(q). Let 42/5*d**4 + 0*d + 6/5*d**2 + 0 + 33/5*d**p = 0. Calculate d.
-1/2, -2/7, 0
Let m = -4/25 - -86/225. Let u = -1270/3 - -424. Find b such that m - 8/9*b + u*b**2 = 0.
1/3, 1
Let q(h) be the first derivative of h**4/28 - h**3/3 + 5*h**2/7 + 151. Factor q(r).
r*(r - 5)*(r - 2)/7
Suppose 2/17*q**4 - 20/17*q**3 + 74/17*q**2 - 120/17*q + 72/17 = 0. Calculate q.
2, 3
Suppose 6*r - 1 = 9 + 2. Let x be 1*-2*3/(-7). Factor -x*b - 3/7*b**r + 0.
-3*b*(b + 2)/7
Let t(v) be the third derivative of -v**5/150 + 7*v**4/60 + 8*v**3/15 - 17*v**2. Factor t(b).
-2*(b - 8)*(b + 1)/5
Factor 0*m - 2/13*m**2 - 2/13*m**3 + 0 + 2/13*m**5 + 2/13*m**4.
2*m**2*(m - 1)*(m + 1)**2/13
Let c(z) be the second derivative of -5*z**9/3024 - z**8/112 - z**7/56 - z**6/72 + 10*z**3/3 - 12*z. Let v(h) be the second derivative of c(h). Factor v(o).
-5*o**2*(o + 1)**3
Let -11/2*j**4 - 61/2*j**2 - 39/2*j**3 - 22*j - 1/2*j**5 - 6 = 0. Calculate j.
-6, -2, -1
Let t(p) = 8*p**3 - 2*p**2 - 7*p - 7. Let o(d) = -4*d**3 + d**2 + 3*d + 3. Let i be 2*1*(-38)/(-4). Let g = i + -25. Let q(a) = g*t(a) - 14*o(a). Factor q(r).
2*r**2*(4*r - 1)
Let k(q) = -q**4 + 1. Let c = -29 - -27. Let i(a) = -2*a**4 + 3*a**3 + 3*a**2 + a + 3. Let h(x) = c*i(x) + 6*k(x). Factor h(u).
-2*u*(u + 1)**3
Let q(s) be the second derivative of -1/84*s**7 - 7/60*s**6 + 1/12*s**4 - 1/4*s**5 + 0 + 5/4*s**2 + 11/12*s**3 + 25*s. Let q(z) = 0. Calculate z.
-5, -1, 1
Let c = 13 + -8. Suppose -10 - c = -5*g. What is t in -8*t**2 - g*t + 6*t**5 + 2*t**2 - t**5 - 2*t**5 + 6*t**4 = 0?
-1, 0, 1
Let f(j) = -5*j**3 - 7*j**2 - 3. Let t(z) = 5*z**3 + 8*z**2 + 2. Suppose -3*m + 5*y - 22 = y, 2*m - 8 = -3*y. Let o(c) = m*f(c) - 3*t(c). Factor o(k).
-5*k**2*(k + 2)
Let j be (-7)/(-6) + (-100)/120 - (-1 + 1). Factor j*l**3 - 1/3*l**2 + 0*l + 0.
l**2*(l - 1)/3
Suppose 0 = -48*v + 27*v + 28*v - 672. Factor v + 24*p + 3/2*p**2.
3*(p + 8)**2/2
Let z(t) be the first derivative of 8*t**5/25 + 2*t**4 - 46*t**3/15 + 6*t**2/5 + 7. Let z(i) = 0. Calculate i.
-6, 0, 1/2
Let o(a) = a - 4. Let f be o(4). Let n be (-5)/((-125)/55) - 6/10. Factor -8/5*d**2 - 4/5*d + f + 4/5*d**5 + 0*d**3 + n*d**4.
4*d*(d - 1)*(d + 1)**3/5
Let q(k) be the first derivative of -5*k**4/4 - 235*k**3/3 - 2875*k**2/2 - 2645*k - 115. Factor q(s).
-5*(s + 1)*(s + 23)**2
Let q(b) = -18*b**3 - 32*b**2 - 66*b - 34. Let l(j) = -2*j**3 + j**2 + j - 1. Let a(f) = -36*l(f) + 2*q(f). Let a(y) = 0. What is y?
-1, -2/9, 4
Let a(n) = -n**3 + 3*n**2 + 2*n - 4. Let u be a(3). Find j such that -6*j**u + 30*j + 17*j**2 + 45 - 6*j**2 = 0.
-3
Let x(m) be the third derivative of m**6/40 - 23*m**5/10 + 60*m**4 + 576*m**3 - 253*m**2. Solve x(o) = 0 for o.
-2, 24
Let h be ((1 - 1) + 0 + 3)*1. Let t(x) = x**2 - 3*x. Let v be t(h). Suppose v + 0*s - 1/6*s**4 + 1/6*s**3 + 0*s**2 = 0. What is s?
0, 1
Let f be (-2)/9 - (1312/9)/(-8). Factor 11*q + 38*q - 9*q - f*q**2 - 8.
-2*(q - 2)*(9*q - 2)
Let 184*p - 260/3 + 8*p**3 - 320/3*p**2 + 4/3*p**4 = 0. Calculate p.
-13, 1, 5
Let r(b) = -b**3 + 6*b**2 - b + 13. Let v be r(6). Factor -4*a**2 - 5 - a**5 + v - 6 + 8*a**4 - 8*a**3 - a**5 + 10*a.
-2*(a - 2)*(a - 1)**3*(a + 1)
Suppose 0 = 14*u - 21*u + 21. Let c(j) be the first derivative of 2 + 6/5*j - 1/5*j**u - 3/10*j**2. Factor c(i).
-3*(i - 1)*(i + 2)/5
Let u be 2/8 - (-3934)/15400. Let t = u - -1/25. Suppose t*f + 0 + 2/11*f**2 = 0. Calculate f.
-3, 0
Let y(x) be the second derivative of x**7/14 - 9*x**6/10 + 24*x**5/5 - 14*x**4 + 24*x**3 - 24*x**2 - 8*x. Factor y(j).
3*(j - 2)**4*(j - 1)
Let v(m) be the third derivative of m**10/16800 + m**9/10080 - m**8/960 + m**7/840 - m**5/5 + 26*m**2. Let b(j) be the third derivative of v(j). Factor b(s).
3*s*(s - 1)*(s + 2)*(3*s - 1)
Let k = 67 + -82. Let w be ((-25)/k)/((-5)/(-2)). Find b such that 0*b - w*b**2 + 0 - b**3 + 2/3*b**4 = 0.
-1/2, 0, 2
Let i = -9517 + 85657/9. Factor -i*c**2 + 4/3*c - 8/9.
-4*(c - 2)*(c - 1)/9
Let x(t) be the second derivative of -5*t**7/42 - t**6/6 + t**5/2 - 49*t. Suppose x(o) = 0. Calculate o.
-2, 0, 1
Suppose 167 + 148 = 166*m - 17. Find b such that -3/4*b - 9/4*b**m - 9/4*b**3 - 3/4*b**4 + 0 = 0.
-1, 0
Let 62/5*s + 2/5*s**2 + 0 = 0. What is s?
-31, 0
Let y(n) = n**3 + 2*n**2 - n - 1. Let d(g) = 2*g**3 - 3*g**2 + 6*g + 6. Let s(h) = d(h) + 6*y(h). Suppose s(v) = 0. What is v?
-9/8, 0
Find n such that -19815*n**3 + 19811*n**3 - 66*n**2 - 1024*n - 62*n**2 = 0.
-16, 0
Let r(c) = -14*c + 490. Let v be r(34). Let f = 1931 + -5735/3. Determine y, given that 8/3 + 16*y - v*y**3 + f*y**2 = 0.
-1/3, -2/7, 2
Factor -2/15*y**5 + 0*y**2 + 2/5*y**4 + 0*y + 0 + 8/15*y**3.
-2*y**3*(y - 4)*(y + 1)/15
Suppose 0 = -2*t - t + 27. Suppose -5*o + 6 = -t. Determine g so that 8*g**2 - 7*g**2 - 16 - g**3 + o*g**3 + 24*g - 13*g**2 = 0.
2
Let s(v) be the second derivative of 0*v**3 + 17*v + 0*v**2 + 0 - v**4 - 2/5*v**5 + 2/15*v**6. Factor s(r).
4*r**2*(r - 3)*(r + 1)
Let d(s) be the third derivative of 1/720*s**6 + 1/2016*s**8 + 1/120*s**5 - 1/72*s**4 + 0*s - 10*s**2 - 1/420*s**7 + 0*s**3 + 0. Find j such that d(j) = 0.
-1, 0, 1, 2
What is x in 81 + 9/2*x**2 + 15/2*x**3 - 3/2*x**4 - 135/2*x = 0?
-3, 2, 3
Let r(s) be the first derivative of s**6/120 + 3*s**5/40 - 12*s**3 - 47. Let q(j) be the third derivative of r(j). Determine n so that q(n) = 0.
-3, 0
Let h(i) be the third derivative of -i**8/80640 + i**7/3360 - i**6/576 + i**5/60 - 6*i**2. Let j(d) be the third derivative of h(d). Factor j(o).
-(o - 5)*(o - 1)/4
Let u(r) be the second derivative of r**5/70 + 5*r**4/21 - 23*r**3/21 + 12*r**2/7 - 3*r + 43. Suppose u(x) = 0. Calculate x.
-12, 1
Let c = -1057/690 + 36/23. Let d(x) be the third derivative of 0*x + 6*x**2 + 2/15*x**5 + c*x**6 + 0*x**4 + 0*x**3 + 0. Solve d(p) = 0.
-2, 0
Let j(s) be the first derivative of -s**4/7 + 20*s**3/21 - 16*s**2/7 + 16*s/7 - 2. Factor j(t).
-4*(t - 2)**2*(t - 1)/7
Let p(m) be the second derivative of 0 + 5/33*m**3 + 6/11*m**2 - 1/66*m**4 + m. Suppose p(i) = 0. Calculate i.
-1, 6
Let l(m) be the third derivative of -m**7/525 - 11*m**6/75 - 21*m**5/5 - 45*m**4 + 225*m**3 + 189*m**2. Factor l(j).
-2*(j - 1)*(j + 15)**3/5
Let w(p) be the first derivative of -3*p**4/4 - 9*p**3 - 36*p**2 - 48*p + 127. Factor w(q).
-3*(q + 1)*(q + 4)**2
Suppose 3*z = 3*i + 7*z - 11, 3*z = 2*i - 30. Let k = i - 5. Let 4*w**4 - 5*w**4 + 4*w**3 - w**k + 6*w**4 = 0. Calculate w.
-1, 0
Let c(h) be the first derivative of h**4/28 - h**3/3 + 5*h**2/7 - 49. What is g in c(g) = 0?
0, 2, 5
Suppose -118*f**2 + 123*f**2 + 20 + 24 - 30*f + 1 = 0. Calculate f.
3
Determine l so that -26*l**2 + 1020*l + 53*l**2 - 558 + 330 = 0.
-38, 2/9
Determine m, given that -8978*m**2 + 13601*m**3 + 3/4*m**5 + 0*m - 403/2*m**4 + 0 = 0.
0, 2/3, 134
Let t = -32/15 + 143/60. Let n(f) be the second der