-2, -1, 0
Find b, given that 51*b**2 + 56 - 99*b**2 + 52*b**2 - 36*b = 0.
2, 7
Let l(z) = -z + 10. Let x be l(6). Let k(v) be the second derivative of 0*v**3 + 1/90*v**6 - 6*v + 0*v**2 + 0*v**5 + 0 + 0*v**x - 1/126*v**7. Factor k(n).
-n**4*(n - 1)/3
Let f(r) be the first derivative of 3*r**5/5 - 798*r**4 + 424536*r**3 - 112926576*r**2 + 15019234608*r - 100. Determine m so that f(m) = 0.
266
Let t(n) = n**3 - 10*n**2 + 23*n + 8. Let x be t(6). Suppose x*z + 4 = -2*g - 2, 0 = 5*z + 25. Factor 1/2 - 1/2*y**g + 0*y.
-(y - 1)*(y + 1)/2
Let w(o) be the first derivative of 0*o + 4/27*o**3 - 2/9*o**2 - 7. Factor w(m).
4*m*(m - 1)/9
Suppose -1/3*o**2 - 4/3*o + 5/3 = 0. Calculate o.
-5, 1
Let v(m) = m**2 + 6*m + 7. Let p be v(-5). Suppose y + 38*y = 0. Determine n, given that -10*n + 2*n**4 - 4 + p*n**3 + y*n**2 + 0*n**3 - 6*n**2 = 0.
-1, 2
Let g(j) be the first derivative of j**3/3 + 3*j**2 + 10. Let r(t) = t. Let a(h) = g(h) - 6*r(h). Let a(n) = 0. What is n?
0
Let v = 13 + 2. Let a = v + -12. Factor 2*o**2 - 12*o**a + 10*o**3 + 2*o**5 + 2*o**2 - 4*o**4.
2*o**2*(o - 2)*(o - 1)*(o + 1)
Let u(q) be the second derivative of -3*q**7/49 + 16*q**6/35 - 79*q**5/70 + 26*q**4/21 - 4*q**3/7 - 26*q + 1. Find s such that u(s) = 0.
0, 2/3, 1, 3
Let d be 2 - (0 + -2 - -2). Let d*s**2 + 9 - 3 + 4*s - 6 = 0. Calculate s.
-2, 0
Let d(a) = -a. Let s(j) = 8*j**2 + 36*j + 4. Let q(p) = 2*p + 11. Let w be q(-12). Let g = w - -12. Let i(z) = g*s(z) - 24*d(z). Factor i(x).
-4*(x + 1)*(2*x + 1)
Let a(x) be the first derivative of x**6/75 + 3*x**5/50 - 4*x**3/15 - 22*x - 11. Let m(l) be the first derivative of a(l). Solve m(k) = 0.
-2, 0, 1
Let r(g) = -g - 7. Let z be r(-6). Let q = z - -3. Factor 4*h**3 - h**3 + 10*h - 5*h**3 - 4 + q*h**4 - 6*h**2.
2*(h - 1)**3*(h + 2)
Factor 0 - 3*i**3 - 9/2*i**2 + 7*i + 1/2*i**4.
i*(i - 7)*(i - 1)*(i + 2)/2
Let b be 6 + ((-225)/10)/5. Let f(r) be the first derivative of 0*r - 2/3*r**3 - b*r**2 - 1/12*r**4 - 3. Find l, given that f(l) = 0.
-3, 0
Let i be (23/(-1))/(-10 - -9). Factor -2*s**3 - 12*s**2 + 0*s**3 - 35*s - s**3 + i*s.
-3*s*(s + 2)**2
Let l(k) = k**3 - 29*k**2 - 69*k + 18. Let u(s) = -s**3 + s**2 - s - 6. Let v(i) = l(i) + 3*u(i). Factor v(x).
-2*x*(x + 4)*(x + 9)
Solve -1/3*c**2 - 14/3 - 5*c = 0.
-14, -1
Let y(h) be the second derivative of -h**8/84 + h**6/10 - 2*h**5/15 - 5*h**2 - h. Let s(u) be the first derivative of y(u). Solve s(k) = 0.
-2, 0, 1
Factor 209*k**2 - 16*k - 40 + 4*k - 205*k**2.
4*(k - 5)*(k + 2)
Factor -3157*n**2 + 1588*n**2 + 28*n - 2*n**3 - 48 + 1591*n**2.
-2*(n - 12)*(n - 1)*(n + 2)
Let j(g) be the second derivative of -5*g**4/48 - 155*g**3/8 + 235*g**2/4 + 593*g. Suppose j(f) = 0. What is f?
-94, 1
Factor -2/5*r**3 - 38/5*r**2 - 14*r - 34/5.
-2*(r + 1)**2*(r + 17)/5
Let x(p) be the third derivative of p**7/1260 + p**6/720 - p**5/360 - p**4/144 + 186*p**2 - 1. Factor x(z).
z*(z - 1)*(z + 1)**2/6
Let i = 4534/2653 - -2/379. Let -2/7*u**3 - i*u**2 - 8/7 - 18/7*u = 0. Calculate u.
-4, -1
Let g(j) be the second derivative of j**4/12 - 2*j**3/3 - j - 7. Let g(q) = 0. Calculate q.
0, 4
Let 8*u**4 + 37 - 5048*u**3 + 897*u**2 - 5038*u**3 + 8*u**4 + 10702*u**3 + 334*u = 0. Calculate u.
-37, -1, -1/4
Suppose 0*k = k + 3*l + 2, 2*l - 12 = -4*k. Suppose 2 = -2*m + 4*o, k*m = -2*o + 5 + 11. Factor -32 + 19*p**2 - 4*p**m + 35*p**2 + 16*p - 46*p**2.
-4*(p - 2)**2*(p + 2)
Let c be ((-21)/14)/(12/(-88)). Suppose c = j + 7. What is o in -10/21*o**j - 2/7*o**3 + 2/21*o + 0 + 2/21*o**2 - 4/21*o**5 = 0?
-1, 0, 1/2
Suppose a + 0*a - 2*g = 10, 4*a + 3*g + 4 = 0. Let j be (a/(-3))/((-2)/(-36)*-3). Factor 4/5*c**2 + 0*c - 2*c**3 - 14/5*c**j + 0.
-2*c**2*(c + 1)*(7*c - 2)/5
Let r(t) be the first derivative of t**6/4 - 3*t**5/5 - 9*t**4/4 + 2*t**3 + 39*t**2/4 + 9*t - 14. Determine u so that r(u) = 0.
-1, 2, 3
Find a such that 71*a - 41 + 43*a - 7*a**4 - 98*a**2 + 30*a**3 - 3 + 5*a**4 = 0.
1, 2, 11
Let h(d) be the second derivative of 4*d**2 + 17/3*d**3 + 2 + 2/3*d**4 - d. Suppose h(y) = 0. Calculate y.
-4, -1/4
Suppose 4 = 4*j, z + 4*j + 5 = 2*z. Suppose -3 = z*s - 10*s. Determine k so that -4*k**3 - 8 + 8 + 9*k**4 + k**s = 0.
0, 1/3
Let r be -18 + 34 - 264/18. Suppose 1/3*k - k**2 + 0 - r*k**3 = 0. Calculate k.
-1, 0, 1/4
Let p = 16 - 19. Let y = p + 36. Factor -y*r**3 - 3 + 0 + 3*r + 3*r**2 + 30*r**3.
-3*(r - 1)**2*(r + 1)
Let o(k) = -k**3 + 23*k**2 + 108*k + 5. Let i be o(27). Suppose 9 = -6*h + 9*h - 5*a, 0 = -i*a. Let 0*c**2 - 6/7*c - 4/7 + 2/7*c**h = 0. Calculate c.
-1, 2
Let k be -10 - (-11 - (-3)/(-6)). What is b in 9*b**4 + 0 + 18*b**2 - 39/2*b**3 - 6*b - k*b**5 = 0?
0, 1, 2
Suppose 2*t = -0*t + 6. Determine z so that -t*z**3 - 12*z - 8*z**2 + 27*z + 5*z**3 - 7*z = 0.
0, 2
Let p be 2/3 + (-50)/(-6). Let q be ((-504)/(-40) - p)*(-10)/(-8). Factor 15/4*n**2 - 39/4*n - q.
3*(n - 3)*(5*n + 2)/4
Let w(i) be the second derivative of 5*i**5/4 - 15*i**4/4 - 85*i**3/6 - 15*i**2/2 - 38*i + 1. Factor w(f).
5*(f - 3)*(f + 1)*(5*f + 1)
Suppose -16*f + 42 = -2*f. Let n(q) be the second derivative of -q**2 + 0*q**f + 1/6*q**4 + 0 - q. Determine k, given that n(k) = 0.
-1, 1
Let u be -37*4/(-52) + 12/78. Let y(n) be the third derivative of 0 - 1/2*n**u + 9/40*n**6 - 3/4*n**5 + 0*n + 7/8*n**4 - 5*n**2. Find o, given that y(o) = 0.
1/3, 1
Let j = 76 + -72. Factor 66*k**2 + 5*k**3 + 2*k**j - 91*k**2 + 3*k**4 + 15*k.
5*k*(k - 1)**2*(k + 3)
Suppose z - 29 = 2*g - 3*g, -2*z + g + 46 = 0. Factor -18*w + z*w - 4 - 15*w - 4*w**2.
-4*(w + 1)**2
Let h(q) be the third derivative of -q**8/360 - 4*q**7/525 - q**6/300 + q**5/225 - 272*q**2. Let h(j) = 0. Calculate j.
-1, 0, 2/7
Let p(f) be the third derivative of -f**6/120 + f**5/15 + f**4/24 - 2*f**3/3 - 5*f**2. Find q such that p(q) = 0.
-1, 1, 4
Let x = -200 + 202. Let w(k) be the second derivative of 3/20*k**5 + 2/5*k**4 + 0 + 2/5*k**3 + 1/50*k**6 - 6*k + 0*k**x. Find f, given that w(f) = 0.
-2, -1, 0
What is f in 3/2*f**2 - 3/2 + 0*f = 0?
-1, 1
Let x(t) be the second derivative of -t**6/120 - 3*t**5/16 - 61*t**4/48 - 7*t**3/8 + 49*t**2/4 - 178*t. What is z in x(z) = 0?
-7, -2, 1
Let i(c) = -22*c**2 - 109*c - 15. Let h(v) = -66*v**2 - 328*v - 46. Let w(p) = -5*h(p) + 14*i(p). Determine f so that w(f) = 0.
-5, -2/11
Suppose 3*w + 2*i + 44 - 76 = 0, 0 = 4*w - 6*i + 44. Factor 2/5*s**2 - w - 6/5*s.
2*(s - 5)*(s + 2)/5
Let j = 113 + -110. Let d(n) be the third derivative of 0 + 5*n**2 + 1/100*n**6 + 3/350*n**7 + 0*n**j + 0*n**4 + 1/300*n**5 + 1/420*n**8 + 0*n. Factor d(i).
i**2*(i + 1)**2*(4*i + 1)/5
Let x be 1/(-2) - 21/(-6). Factor -36*u + 27*u**2 - 3*u**2 - u**x - 3*u**3.
-4*u*(u - 3)**2
Let p = -1036 - -5182/5. Let v(c) be the first derivative of 0*c - 2/15*c**3 - p*c**2 - 5. Factor v(j).
-2*j*(j + 2)/5
Suppose -4*l + 9 + 25 = 3*n, 3*n - 2*l - 10 = 0. Suppose 11*c = n*c. Factor c*b**4 - b**4 + 5*b**5 - 6*b**5.
-b**4*(b + 1)
Let c(k) be the third derivative of -2*k**7/35 + 59*k**6/40 - 41*k**5/20 - 7*k**4/4 - 39*k**2. Let c(v) = 0. What is v?
-1/4, 0, 1, 14
Let j(z) be the first derivative of z**4/2 - 256*z**3/3 + 127*z**2 - 132. Factor j(x).
2*x*(x - 127)*(x - 1)
Let i(t) be the third derivative of -1/120*t**4 - 3*t**2 + 0 - 1/1050*t**7 - 1/100*t**5 + 0*t**3 - 1/200*t**6 - t. Determine j so that i(j) = 0.
-1, 0
Suppose 4*n - 2*w + 2 = 12, 3*n + 5*w = 14. Suppose -4*d + n + 5 = 0. Factor -1 + 0*q - 3*q - q**3 + 2*q + d*q + q**2.
-(q - 1)**2*(q + 1)
Let q(x) be the first derivative of -4*x**5/5 + 6*x**4 - 44*x**3/3 + 12*x**2 - 74. Solve q(u) = 0.
0, 1, 2, 3
Let -333*o**2 - 5*o + 6 + 160*o**2 + 14*o - 12*o**3 + 167*o**2 + 0*o**3 + 3*o**5 = 0. What is o?
-1, 1, 2
Let j be -3*6/54 + 1038/(-54)*-15. Factor -1/3*f**4 + 8*f**3 - 72*f**2 + j*f - 432.
-(f - 6)**4/3
Let z(r) = -r**3 - 34*r**2 - 31*r + 136. Let j be z(-33). Factor -5*o**5 - j*o**3 - 40/3*o + 0 - 95/3*o**4 - 60*o**2.
-5*o*(o + 2)**3*(3*o + 1)/3
Let j(o) = -o**4 + o**3 + o**2 + o. Let c(i) = -i**4 + 3*i**3 - i**2 + i + 2. Let q(s) = -c(s) + 2*j(s). Solve q(r) = 0.
-2, -1, 1
Let h be (-24)/180 + 47/15. Suppose 0 + 0*m - 1/10*m**4 - 1/10*m**h + 0*m**2 = 0. What is m?
-1, 0
Let w(n) = n + 10. Let q be w(-5). Suppose -5*i + m = -18, -30 = -q*i + 4*m + m. Suppose 0*r - 2/5*r**2 + 0 - 4/5*r**i - 2/5*r**4 = 0. Calculate r.
-1, 0
Let g(l) be the third 