x**5 - 39*x**4 + 10*x**2 + 15*x**3 - d*x**4 = 0.
-2/7, 0, 1
Let a(y) be the first derivative of -y - 1/12*y**3 + 11 - 1/2*y**2. Find m, given that a(m) = 0.
-2
Let f(n) be the second derivative of -2*n**6/15 + 8*n**5/5 - 22*n**4/3 + 16*n**3 - 18*n**2 + 4*n + 1. Let f(v) = 0. What is v?
1, 3
Let a be -2*11/(-6) + (-57)/76*4. Determine j so that 2/3*j**2 + 2/3*j - a*j**3 + 0 - 2/3*j**4 = 0.
-1, 0, 1
Let y(j) = -8*j**2 + 186*j + 48. Let d(u) = -u. Let x(h) = 4*d(h) - y(h). Find t such that x(t) = 0.
-1/4, 24
Let a(y) be the first derivative of -y**4/4 - y**3/2 - 15*y - 14. Let r(b) be the first derivative of a(b). Suppose r(x) = 0. What is x?
-1, 0
Let c(j) be the third derivative of -9*j**6/80 - 41*j**5/90 - j**4/36 + 109*j**2. Suppose c(d) = 0. Calculate d.
-2, -2/81, 0
Suppose 4*q = 3*b + 20, -2*q + 101 = -5*b + 77. Factor -1 + 1/7*i**3 - 9/7*i**q + 15/7*i.
(i - 7)*(i - 1)**2/7
Let p(v) be the first derivative of -1/24*v**4 + 1/2*v - 1/6*v**3 + 1/12*v**2 + 9. Factor p(f).
-(f - 1)*(f + 1)*(f + 3)/6
What is i in 12*i**2 + 156*i + 35*i**5 + 68*i**2 - 56*i**3 - 39*i**5 - 32*i**4 - 144 = 0?
-4, -3, 1
Suppose 0 = -2093*t + 2089*t. Suppose 2/7*i + t*i**2 - 2/7*i**3 + 0 = 0. Calculate i.
-1, 0, 1
Let t(h) be the third derivative of 8*h**2 + 0 + 13/15*h**5 + 0*h + 0*h**3 - 1/21*h**7 + 2/3*h**4 + 13/60*h**6. Factor t(c).
-2*c*(c - 4)*(c + 1)*(5*c + 2)
Let g(i) be the third derivative of -i**6/90 + i**5/45 + 2*i**4/9 - 8*i**3/9 + 29*i**2 + 2*i. Let g(q) = 0. Calculate q.
-2, 1, 2
Let h = 1 + -1. Let v = -926 + 3707/4. Determine k so that -v*k - 3/4*k**2 + h = 0.
-1, 0
Let x = -24 + 31. Suppose -4*a + 2*a - 5*a**3 + x*a = 0. Calculate a.
-1, 0, 1
Let q = 448 + -444. Let k(h) be the third derivative of 0*h - 1/9*h**4 + 1/9*h**3 - 1/105*h**7 + 1/45*h**6 - q*h**2 + 0 + 1/45*h**5. Let k(z) = 0. Calculate z.
-1, 1/3, 1
Let v(h) be the second derivative of 0*h**3 + 1/15*h**5 + 0*h**2 + 0 + 0*h**4 + 8/63*h**7 + 2/9*h**6 + 16*h. Factor v(p).
4*p**3*(p + 1)*(4*p + 1)/3
Let u = -1324 + 1328. Solve 0*y**3 + 1/4*y**2 - 1/4*y**u + 0 - 1/8*y**5 + 1/8*y = 0 for y.
-1, 0, 1
Suppose 0 = -0*j - 3*j - 2*w + 134, 4*j - 2*w - 202 = 0. Let q = j + -46. Factor 1/2*d**5 - 1/2*d**4 + 1/2*d + d**q - d**3 - 1/2.
(d - 1)**3*(d + 1)**2/2
Suppose -x - 6 = -5*f - 4*x, 4*x + 12 = 0. Suppose 0 = v - f - 0. Factor -8/3 - 10/3*a**2 - 16/3*a - 2/3*a**v.
-2*(a + 1)*(a + 2)**2/3
Suppose -22 = -3*a - 8*a. Let 6 + 30*x + 0*x**2 - 26*x - a*x**2 = 0. Calculate x.
-1, 3
Let h = -3/5641 - -11291/16923. Factor -h*q + 0 - 2/9*q**2.
-2*q*(q + 3)/9
Let v(l) be the first derivative of -2*l**6/3 - 4*l**5/5 + 6*l**4 + 56*l**3/3 + 22*l**2 + 12*l + 226. Factor v(z).
-4*(z - 3)*(z + 1)**4
Let y(z) be the second derivative of 10*z**2 + 1/2*z**5 - 10/3*z**3 - 5/4*z**4 + 14*z + 0 + 1/6*z**6. Factor y(u).
5*(u - 1)**2*(u + 2)**2
Let a = 125 - 124. Let h be 4 + 12/(-4) + 1/a. Factor -9/4*i - 3/4 - 9/4*i**h - 3/4*i**3.
-3*(i + 1)**3/4
What is n in 395*n**2 + 120 - 161 - 175*n**3 + 131 - 325*n + 15*n**4 = 0?
2/3, 1, 9
Suppose 151*w + h + 14 = 154*w, -4*w = 4*h + 8. Let l(z) be the first derivative of -4 + 5/2*z**2 + 10*z - 5/3*z**w. Determine y so that l(y) = 0.
-1, 2
Factor -265 + 80*k**2 - 5*k**4 - 215 + 6*k**3 + 260*k - 41*k**3.
-5*(k - 2)**2*(k + 3)*(k + 8)
Let j(d) = 2*d**4 - 7*d**3 + 6*d**2 + 3*d. Let q(w) = -w**4 + 5*w**3 - 4*w**2 - 2*w. Let i(n) = 2*j(n) + 3*q(n). Solve i(m) = 0 for m.
-1, 0
Let a = 1/280 + 1259/280. Let y be 8/(-24) + 125/15. Suppose 3*j + j**5 + y*j**3 - 1/2 - a*j**4 - 7*j**2 = 0. Calculate j.
1/2, 1
Let h be (-4 + 5)*(-955)/(-25). Let a = h + -38. Suppose -2/5*r + 0 + a*r**2 = 0. What is r?
0, 2
Let t = 37 + -76. Let u = -37 - t. Find i such that -i - 1/3*i**u - 2/3 = 0.
-2, -1
Let h = -1795/696 + 76/29. Let d(j) be the second derivative of -h*j**3 + 0 - 4*j + 0*j**2 - 1/12*j**4. Factor d(y).
-y*(4*y + 1)/4
Let u(j) be the third derivative of 1/28*j**4 + 0*j + j**2 - 1/105*j**5 + 0 - 1/21*j**3. Find c such that u(c) = 0.
1/2, 1
Let p = -24 - -27. Suppose 4*j + 4*x - 8 = 6*x, 0 = 3*j - p*x. Factor -s**3 + 1/4*s**j + 0*s + 0 + s**2.
s**2*(s - 2)**2/4
Let z be 1/4*(-34)/(-85). Let v(g) be the first derivative of -2/5*g + 6 + 1/15*g**3 + z*g**2. Determine l, given that v(l) = 0.
-2, 1
Let l be 0*(84/8)/21. Let p(i) be the second derivative of -4*i**3 + l - 1/40*i**5 + 1/2*i**4 + 5*i + 16*i**2. Suppose p(w) = 0. What is w?
4
Let 0*f**2 + 0 - 3/2*f**3 + 0*f - 1/4*f**5 + 5/4*f**4 = 0. What is f?
0, 2, 3
Let l = -13322/17 + 784. What is c in -2/17*c**2 + l*c + 8/17 = 0?
-1, 4
Factor 0*n**3 + 7/8*n**2 - 1/8*n**4 + 0 + 3/4*n.
-n*(n - 3)*(n + 1)*(n + 2)/8
Let l = -189/34 - -5019/68. Let q = -68 + l. Factor 3/4*j**4 - 3/4*j**3 - 1/4*j**5 + 0*j + 0 + q*j**2.
-j**2*(j - 1)**3/4
Suppose -3*r + 8*r = 0. Suppose 2*d = 8 - r. Find n, given that -16*n**2 - 4*n**3 + 7*n**5 + 6*n**d + n**5 + 2 + 8*n**4 - 4*n = 0.
-1, 1/4, 1
Let y(t) be the third derivative of t**8/1008 - t**7/630 - t**6/90 + t**5/45 + 70*t**2 + 2. Find b such that y(b) = 0.
-2, 0, 1, 2
Let a(l) = l**3 - 5*l**2 + 4*l + 1. Let q be a(3). Let x be (-5)/(q/1) + -1. Factor -22/9*b**2 - 4/9*b + x.
-2*b*(11*b + 2)/9
Suppose 0 = 6*f - f - 4*p - 23, -2 = -4*f - 5*p. Solve -4*v**f - 143*v + 68*v + 71*v + 8*v**2 = 0.
0, 1
Let k(h) be the third derivative of -h**6/540 + h**5/45 + 7*h**3/6 + 35*h**2. Let i(c) be the first derivative of k(c). Factor i(w).
-2*w*(w - 4)/3
Factor 2/11*n**2 + 18/11 + 20/11*n.
2*(n + 1)*(n + 9)/11
Suppose -5*b + 3*u = -78, -4*b + 4*u - 88 = -8*b. Find h, given that 0*h**2 - b*h**3 - 20*h + 16*h**2 + 20*h**2 + 3*h**4 - 4*h = 0.
0, 2
Let b(p) = 66*p**2 + 7*p + 1. Let u be b(-1). Let w be (3 + (-189)/u)/((-4)/16). Solve -3*m**2 + w + 9/5*m**3 + 3/5*m = 0.
-1/3, 1
Solve 4/11*i + 8/11*i**3 + 0 - 10/11*i**2 - 2/11*i**4 = 0.
0, 1, 2
Let l(m) be the first derivative of m**5/35 - 9*m**4/28 + m**3/3 + 9*m**2/14 - 8*m/7 - 82. Factor l(x).
(x - 8)*(x - 1)**2*(x + 1)/7
Let i(d) be the first derivative of 2*d**3/15 + 7*d**2/5 + 12*d/5 - 427. Determine u, given that i(u) = 0.
-6, -1
Let x(k) = k**4 + k. Let p(b) = b**4 - 14*b**3 - 61*b**2 - 82*b - 36. Let j(q) = -p(q) + 2*x(q). Factor j(w).
(w + 1)**2*(w + 6)**2
Suppose 4 = 4*v - 5*w + 8*w, -5*w - 24 = -v. Let k(j) be the third derivative of -j**2 + 0*j**3 - 1/42*j**v + 0*j - 1/210*j**5 + 0. Factor k(i).
-2*i*(i + 2)/7
Let 51984 + 3*j**2 + 716*j + 187*j + 9*j + j**2 = 0. Calculate j.
-114
Let i(n) = n**3 + 13*n**2 + 53*n + 343. Let d be i(-11). Find t such that 4/5*t**d + 4/5*t - 3/5*t**5 - 7/5*t**3 + 0 - 2*t**4 = 0.
-2, -1, 0, 2/3
Suppose 0 = 4*k - 25 - 35. Let g be 0 - 7/((-280)/k). Factor g*f**2 + 3/8 - 3/4*f.
3*(f - 1)**2/8
Let o(h) be the first derivative of h**4/2 - 18*h**3 - h**2 + 54*h - 463. Factor o(m).
2*(m - 27)*(m - 1)*(m + 1)
Let r(x) be the first derivative of 3/28*x**4 + 0*x - 13 - 1/7*x**3 - 3/7*x**2. Find m such that r(m) = 0.
-1, 0, 2
Let m be (-45)/18*(0 + -2). Factor y**4 + 11*y**m - 3*y**4 - 9*y**5 - 4*y**3.
2*y**3*(y - 2)*(y + 1)
Let p(u) be the first derivative of -10/3*u**3 + 0*u - 9 + 0*u**2 - 1/60*u**4 + 0*u**5 + 1/900*u**6. Let c(v) be the third derivative of p(v). Factor c(l).
2*(l - 1)*(l + 1)/5
Let h(f) be the second derivative of -1/10*f**5 + 2/3*f**4 + 0 + 0*f**2 - 4/3*f**3 + 22*f. Solve h(a) = 0.
0, 2
Let a(q) = -2*q**4 - 7*q**3 - 3*q - 3. Let k = -40 - -38. Let z(l) = -l**4 - 6*l**3 + l**2 - 2*l - 2. Let v(p) = k*a(p) + 3*z(p). Factor v(s).
s**2*(s - 3)*(s - 1)
Factor -6*h - 2133*h**2 + 2137*h**2 + 34*h - 32.
4*(h - 1)*(h + 8)
Find q such that 8*q**3 - 10254*q**2 + 10239*q**2 + 10*q**3 - 3*q**4 = 0.
0, 1, 5
Suppose 11 = 4*d - 53. Factor 112*w + w**2 - d*w**2 - 122*w - 5*w**3.
-5*w*(w + 1)*(w + 2)
Suppose 15 = 4*f - f, a = -3*f + 21. Let q be a/(-22)*(-2)/3. Factor 0*z + 0*z**3 + 0 - q*z**2 + 2/11*z**4.
2*z**2*(z - 1)*(z + 1)/11
Let f(t) be the third derivative of -40*t**2 + 35/12*t**3 - 1/48*t**5 + 0*t - 25/96*t**4 + 0. Factor f(r).
-5*(r - 2)*(r + 7)/4
Factor -87 - 4*i**3 + 4*i - 133 + 132*i**2 + 88*i**2.
-4*(i - 55)*(i - 1)*(i + 1)
Let t be (2 - (15 + 0)) + 1. Let j be 10 + 3*16/t. Factor 7*y + j*y**2 - 3*y**2 + 5*y.
3*y*(y + 4)
Determine f so that -36/5*f**2 - 66/5*f - 2/5*f**3 - 32/5 = 0.
-16, -1
Let q(h) be the first derivative of 0*h - 41 + 1/12