 176*z**2 - 100 - 80*z**2 - 22*z**3 - 18*z**3.
4*(z - 5)**2*(z - 1)*(z + 1)
Let z(q) be the first derivative of -q**6/40 - q**5/5 + 15*q**2/2 + 3*q + 122. Let c(h) be the second derivative of z(h). Factor c(m).
-3*m**2*(m + 4)
Suppose 0 = -3*g - 9, 3*u - g - 3*g = 21. Suppose 5*b = -u*s + b + 5, 4*s - 2*b = 14. What is d in -11*d + 3*d + 6 + s*d**2 + 18*d - d = 0?
-2, -1
Let s(k) be the second derivative of 25/48*k**4 + 5 + 11/12*k**3 - 28*k - 7/8*k**2 - 1/20*k**5. Solve s(r) = 0.
-1, 1/4, 7
Let u(g) be the second derivative of -g**7/84 - 2*g**6/15 - 9*g**5/20 - g**4/6 + 19*g**3/12 + 3*g**2 + 558*g. Let u(c) = 0. Calculate c.
-4, -3, -1, 1
Let c(q) be the second derivative of 7*q**6/30 + 11*q**5/5 + 47*q**4/12 + 5*q**3/3 + 2*q - 1062. Factor c(n).
n*(n + 1)*(n + 5)*(7*n + 2)
Let h(b) be the second derivative of -b**8/1680 - b**7/840 + 59*b**3 - 2*b - 68. Let q(s) be the second derivative of h(s). Suppose q(d) = 0. What is d?
-1, 0
Let p(u) be the first derivative of 169*u**3/24 - 247*u**2/4 + 361*u/2 - 91. Let p(c) = 0. What is c?
38/13
Let j(c) be the second derivative of c**4/3 - 148*c**3/3 + 2738*c**2 + 2*c + 94. Factor j(k).
4*(k - 37)**2
Suppose -9*o + o + 984 = 0. What is i in 158 - 51*i**3 - 560*i + 128*i**4 - o*i**4 + 87 - 29*i**3 + 390*i**2 = 0?
1, 7
Let a be (-24)/8 + (0/3 - -1). Let m be (-3 + (-2)/a)*(-172)/8. Determine q so that -43*q - 3*q**4 + m*q - 3*q**2 - 2*q**3 + 8*q**3 = 0.
0, 1
Let l(r) = 7*r + 32. Let x be l(-6). Let t(y) = y**3 + 20*y**2 + 78*y + 74. Let a(z) = -2*z**3 - 39*z**2 - 157*z - 149. Let p(c) = x*t(c) - 4*a(c). Factor p(w).
-2*(w + 2)**2*(w + 18)
Let p(a) be the third derivative of -5/12*a**4 + 24*a + 0*a**3 + 0*a**6 - 1/4*a**5 + 0 + 2*a**2 + 1/42*a**7. Solve p(q) = 0.
-1, 0, 2
Suppose -3*z - 23 = -m, 73 = 3*m + 5*z + 60. Let d(v) be the second derivative of 9/2*v**2 - 1/2*v**3 + m*v - 1/16*v**4 + 0. Factor d(q).
-3*(q - 2)*(q + 6)/4
Let m be ((-3)/18)/(11/(-99))*80/15. Let i = 0 + 4. Suppose -16*t + i*t**5 - 7*t + 19*t - m*t**2 + 8*t**4 = 0. What is t?
-1, 0, 1
Let f(i) be the first derivative of -5*i**6/27 + 188*i**5/45 + 17*i**4/9 - 584*i**3/27 + 131*i**2/9 + 76*i/9 - 5546. Determine y, given that f(y) = 0.
-2, -1/5, 1, 19
Let w(z) be the third derivative of -z**7/1155 + 7*z**6/330 - 29*z**5/330 - 26*z**4/33 - 20*z**3/11 + 23*z**2 - 5. Find d, given that w(d) = 0.
-1, 6, 10
Let j(q) be the first derivative of -q**4/2 + 50*q**3/3 - 56*q**2 - 440*q + 10411. Suppose j(m) = 0. Calculate m.
-2, 5, 22
Let v(b) be the third derivative of -b**6/480 - 679*b**5/80 + 7*b**2 - 154*b. Let v(u) = 0. What is u?
-2037, 0
Determine x, given that -9/5*x**2 + 1/5*x**4 + 0 - 3/5*x**3 - x = 0.
-1, 0, 5
Let l = -294 - -297. Factor -200*o**4 - 45*o + 64*o**2 - 13*o**2 + 197*o**4 - l*o**3.
-3*o*(o - 3)*(o - 1)*(o + 5)
Let m(d) be the second derivative of d**4/36 - d**3 + 40*d**2/3 - 3*d - 442. Factor m(o).
(o - 10)*(o - 8)/3
Let n(d) = d**2 - 46*d + 3. Let y be n(0). Let z be (0/(-2))/(-51 - -42). Factor 0*b**2 + 2/5*b**5 + 2/5*b - 4/5*b**y + 0*b**4 + z.
2*b*(b - 1)**2*(b + 1)**2/5
Let l(d) be the first derivative of -2*d**5/5 - 11*d**4 - 82*d**3/3 - 20*d**2 + 4098. Factor l(o).
-2*o*(o + 1)**2*(o + 20)
Let j(c) = -18*c**3 + 2*c**2 + 11*c + 7. Let o be j(-1). Suppose 2888 - 2920 = -o*x. Factor 0 + 0*a + 3/2*a**x - 3/2*a**3 + 3/8*a**4.
3*a**2*(a - 2)**2/8
Suppose 9 = -6*f - 237. Let k = f - -43. Suppose 5*s**3 + k*s**2 + 3*s**3 - 2*s**4 - 8*s**2 = 0. What is s?
0, 1, 3
Let x be (28 + 3807/(-135))*-25. Let r be (-6)/(-39) - 14/(-78). Let 0 - r*u**2 + u**3 - u**4 + 0*u + 1/3*u**x = 0. What is u?
0, 1
Suppose 0 = 3*p - 0*p + 5*m, -4*p - 5*m = -5. Factor 144*s + p*s**2 - 424*s + 2280 + 1640.
5*(s - 28)**2
Let s be 2295/(-33660) + (26/(-195) - 46/(-120)). Factor -18/11*x**3 + 50/11*x + 0 - 30/11*x**2 - s*x**4.
-2*x*(x - 1)*(x + 5)**2/11
Suppose 10*u + 2*i - 1840 = 5*u, -5*i = -25. Let a = u - 363. What is w in w - 1/4*w**a + 0 - 3/4*w**2 = 0?
-4, 0, 1
Let t(b) = 642*b**2 + 638*b + 41. Let i(h) = -317*h**2 - 318*h - 21. Let v(q) = 9*i(q) + 4*t(q). Determine j so that v(j) = 0.
-1, -5/57
Let z = 6054191/7 - 864851. Solve -92/7 - 10/7*s**2 + z*s = 0.
2/5, 23
Suppose 5*x + 678 = 3*o, 8*x + 706 = 3*x - 4*o. Let p = x - -141. Suppose -16*m + 21*m**2 - 9*m**2 + 120*m**3 - 34*m**p - 12*m**4 - 70*m**5 = 0. What is m?
-1, -4/7, 0, 2/5, 1
Factor -21 - 229 - 5*v**2 - 30 - 37*v + 322*v.
-5*(v - 56)*(v - 1)
Let t(w) = -w**3 - w**2 - 7*w + 53. Let p(v) = v**3 + 6*v - 52. Let d(s) = -4*p(s) - 3*t(s). Let g(c) be the first derivative of d(c). Factor g(b).
-3*(b - 1)**2
Suppose -3*h + 3 = -6. Suppose 0 = 4*x - 4*m + 8, 21*x + 4*m - 46 = 3*m. Factor -2*n**5 + 4*n**5 + 4*n**2 + n**h - 4*n**4 - x*n**3 - n**3.
2*n**2*(n - 2)*(n - 1)*(n + 1)
Let d = 385 - 389. Let s be 1 - (9 + d - 7). Factor 8/7*q**4 + 0 - 10/7*q**s - 2/7*q**5 + 4/7*q**2 + 0*q.
-2*q**2*(q - 2)*(q - 1)**2/7
Let u(q) be the second derivative of -q**9/3024 + q**7/168 + q**6/72 - 29*q**4/6 + 2*q - 16. Let d(f) be the third derivative of u(f). Factor d(l).
-5*l*(l - 2)*(l + 1)**2
Let h(t) be the second derivative of t**6/2 - 125*t**5/4 + 2735*t**4/4 - 10625*t**3/2 - 5780*t**2 + 2201*t + 2. Suppose h(k) = 0. What is k?
-1/3, 8, 17
Let i = 2/981 + 1306/981. Determine p, given that -4*p**2 + 4*p**4 + i*p**5 - 8/3*p + 4/3*p**3 + 0 = 0.
-2, -1, 0, 1
Find d such that -40/7*d + 2/7*d**2 - 88/7 = 0.
-2, 22
Determine t, given that -58/3*t - 2/3*t**2 - 52 = 0.
-26, -3
Suppose 732/5 + 2/5*u**2 - 734/5*u = 0. What is u?
1, 366
Let z be ((-12)/16)/(2/(-8)). Suppose -3*s + a + z = 1, 4*s - 5*a = -12. Determine u, given that -5*u**2 - 7*u**3 + 9*u**3 + 8*u + u**s - 6*u**3 = 0.
-2, 0, 1
Let -117/2*q**2 + 399/2*q**3 + 6*q**5 - 45 - 411/2*q + 207/2*q**4 = 0. Calculate q.
-15, -2, -1, -1/4, 1
Suppose 151 + 11 = 9*z. Suppose 0*r + z = 3*r. Factor -3*h**2 + 2*h**2 - r*h + 0*h**2 + 4*h**2.
3*h*(h - 2)
Let u(n) be the second derivative of 1/4*n**4 + 0*n**2 + 2*n + 2/5*n**3 + 45 + 3/100*n**5. Determine d, given that u(d) = 0.
-4, -1, 0
Suppose -5*i + 25 = 4*o, 23 - 8 = 4*o - 5*i. Let n = -485/26 - -1035/52. Let n*u - 1/4*u**o - 1/2 + u**4 - u**3 - 1/2*u**2 = 0. Calculate u.
-1, 1, 2
Factor 1372*o - 525*o**2 - 40244 + 1563*o**2 - 430352 - 523*o**2 - 516*o**2.
-(o - 686)**2
Suppose 2 = -6*f + 20. Factor j**3 - f*j**4 - 53*j + 22*j - 6 + 28*j + 9*j**2 + 2*j**3.
-3*(j - 2)*(j - 1)*(j + 1)**2
Let o(x) = -x**2 + 2*x + 26. Let c be o(6). Factor 72*g - 43*g - 46*g + 17*g**3 - g**4 - 18 + 19*g**c.
-(g - 18)*(g - 1)*(g + 1)**2
Suppose 136/15*a**2 - 36/5 - 398/15*a = 0. What is a?
-1/4, 54/17
Let k(f) be the first derivative of f**5/5 + 5*f**4 + 32*f**3 - 128*f**2 + 62*f + 51. Let a(p) be the first derivative of k(p). Factor a(b).
4*(b - 1)*(b + 8)**2
Find f such that -3855/2*f**3 - 25/4*f**5 + 195*f**4 - 7605 + 6130*f**2 - 13065/4*f = 0.
-4/5, 3, 13
Let u(x) be the third derivative of -x**7/210 + x**6/45 + 41*x**3/2 - 102*x**2. Let q(b) be the first derivative of u(b). What is r in q(r) = 0?
0, 2
Solve 3*z**4 + 10272*z**2 + 549*z**3 + 23046*z**2 - 49686 + 23751*z - 7935*z**2 = 0.
-91, -2, 1
Solve 540/7 + 2/7*m**2 + 274/7*m = 0 for m.
-135, -2
Let r(j) be the third derivative of 0 + 11*j**2 + 0*j + 7/15*j**4 - 1/300*j**6 + 1/525*j**7 - 2/25*j**5 - 16/15*j**3. Factor r(x).
2*(x - 2)**2*(x - 1)*(x + 4)/5
Suppose -3*u + 4*y = -36, -u + 6*u + 4*y = 28. Suppose 2*r = u*r - 12. Factor 136*v + 51*v - 76*v**r - 324 - 63*v + 272*v + 4*v**3.
4*(v - 9)**2*(v - 1)
Let l = -314537/6 + 52424. Factor l + c - 1/6*c**2.
-(c - 7)*(c + 1)/6
Let q(g) be the second derivative of g**8/1176 + g**7/147 + g**6/70 - 66*g**2 - 7*g. Let i(u) be the first derivative of q(u). Determine t, given that i(t) = 0.
-3, -2, 0
Factor -15*x - 15*x - 689*x**2 + 4*x + 0*x + 687*x**2 - 24.
-2*(x + 1)*(x + 12)
Suppose -13*o + 2*w - 432 = -445, 4*w = -2*o + 58. Factor 3/5*u**o + 3*u + 30 - 24/5*u**2.
3*(u - 5)**2*(u + 2)/5
Let x be 7 - ((-16)/(-4) - 0). Let o be (-142)/(-10) + -14 + (-4)/20. Factor -2/9*u**x + o*u - 2/3*u**2 + 8/9.
-2*(u - 1)*(u + 2)**2/9
Suppose -8 + 4 = -2*t. Let g(x) = 6 + 9*x - 6*x**2 - t*x**2 + 13*x**2. Let b(f) = f**2. Let n(y) = 2*b(y) - g(y). Suppose n(v) = 0. What is v?
-2, -1
Determine n, given that 156 - 454*n**3 - 418*n**4 + 123*n**4 - 1184*