 -2 + 11 - 2*b**2 + p*b - 13 = 0. Calculate b.
1, 2
Let v(d) be the first derivative of d**2/2 + 12*d - 32. Let a be v(12). Solve -25*u**3 + 11*u**2 - 4*u - 6*u**2 + a*u**3 = 0 for u.
0, 1, 4
Suppose 4*c + 2*c - 12 = 0. Suppose -3*y + 32 = -c*u, -27 + 79 = 4*y - 5*u. Find m such that -2*m - 8 - 4*m**5 + y*m**3 - 8*m**4 - 2*m + 0*m + 16*m**2 = 0.
-2, -1, 1
Let p(y) be the first derivative of -y**6/720 - y**5/90 - y**4/36 + 107*y**2 - 33. Let z(g) be the second derivative of p(g). Determine r so that z(r) = 0.
-2, 0
Suppose 2/7*i**2 + 828/7 - 150/7*i = 0. Calculate i.
6, 69
Let c(s) = -9*s**3 - 11*s**2 + s + 139. Let f(n) = 8*n**3 + 11*n**2 - 140. Let u(y) = -7*c(y) - 8*f(y). Suppose u(g) = 0. What is g?
-7, 3
Let c(p) be the third derivative of -p**7/105 + 7*p**6/60 - p**5/3 - 7*p**2 + 35*p. Factor c(u).
-2*u**2*(u - 5)*(u - 2)
Let z = 586948/3 + -195647. Determine i so that -4/3 - 2/3*i**2 - 1/3*i**3 + z*i = 0.
-4, 1
Let x = -21 + 53. Suppose -g - 29 + x = 0. Suppose 121*o - 113*o - o**g + 8 - 3*o**3 + 2*o**4 - 6*o**2 = 0. Calculate o.
-1, 2
Let k(c) be the third derivative of -c**7/14 - 61*c**6/72 - c**5/6 + 25*c**4/24 + 15*c**3 + c**2. Let j(w) be the first derivative of k(w). Factor j(s).
-5*(s + 5)*(3*s + 1)*(4*s - 1)
Let v(h) be the third derivative of -h**8/112 - 3*h**7/35 - h**6/10 + 3*h**5/10 + 5*h**4/8 + 2*h**2 - 4435. Let v(z) = 0. What is z?
-5, -1, 0, 1
Let q(j) be the third derivative of -6*j**3 - j**4 + 0 - 2*j**2 + 1/40*j**6 + 4*j + 1/20*j**5. Factor q(z).
3*(z - 3)*(z + 2)**2
Let u = -12022561/7 + 1717549. Let -u*f - 142/7 - 138/7*f**2 + 2/7*f**3 = 0. Calculate f.
-1, 71
Suppose 2*b - 8 = 3*f, -b + 7 = -2*b - 4*f. Let y(l) = l**3 - 4*l - 3. Let c(m) = -m**2 + 1 - 18 + 17 - m. Let n(h) = b*c(h) + y(h). Factor n(a).
(a - 3)*(a + 1)**2
Let r = 16849/6738 + -2/3369. Factor 7/2*n**2 + r*n**4 + 0 + 7*n**3 - n.
n*(n + 1)*(n + 2)*(5*n - 1)/2
Let l(z) = -6*z + z**3 - 24*z - 7*z**2 + 23*z. Let h(t) = t**3 - 8*t**2 - 6*t. Let j(p) = 7*h(p) - 6*l(p). Factor j(o).
o**2*(o - 14)
Let m = -310 + 312. Factor 2*s**3 + 30*s - 5*s**2 - s**2 + m*s - 10*s**2.
2*s*(s - 4)**2
Let g(x) = -5*x - 117. Let r be g(-24). Suppose 4*q + 2 = -3*o, -4*q - 10 = -5*o + 8. Determine p, given that 7*p**3 - 5*p**3 - p**3 + r*p**o = 0.
-3, 0
Let b(m) be the second derivative of -m**7/1512 + m**6/720 + m**4/6 + 14*m**3/3 + 12*m + 1. Let h(d) be the third derivative of b(d). Solve h(i) = 0.
0, 3/5
Let y = 7101 - 7098. Factor -1 + 1/3*d - 1/3*d**y + d**2.
-(d - 3)*(d - 1)*(d + 1)/3
Let t = -5687/2 - -62565/22. Determine x so that 0 - t*x**2 - 2/11*x**4 + 0*x - 6/11*x**3 = 0.
-2, -1, 0
Suppose 0 = 25*l - 37 - 138. Let s(y) = 7 - 3*y**2 - 3*y - y**2 + y**2 - y. Let p(u) = -u**2 - u + 2. Let b(a) = l*p(a) - 2*s(a). Factor b(x).
-x*(x - 1)
Let g be (-26 + -4)/2*1. Let u be (72/g)/6*(-5 - -3). Solve -u*n**4 - 8/5*n**2 + 0 + 2/5*n**5 + 12/5*n**3 + 2/5*n = 0 for n.
0, 1
Factor 5*l**4 + 81*l**2 + 52*l**2 - 38*l**2 + 172*l**3 - 100 - 105*l - 67*l**3.
5*(l - 1)*(l + 1)**2*(l + 20)
Suppose 4*l = -61 + 361. Let g be (18/l)/(12/960). Factor -128/5 - 24/5*b**2 - g*b - 2/5*b**3.
-2*(b + 4)**3/5
Let y(p) be the first derivative of p**5/10 + 12*p**4 + 1103*p**3/3 - 1176*p**2 + 2401*p/2 + 3866. Determine q, given that y(q) = 0.
-49, 1
Let k = 564759 + -3388553/6. Factor 15/2*r - 22/3 - k*r**2.
-(r - 44)*(r - 1)/6
Let y(a) be the second derivative of -3*a**4/4 + 73*a**3/6 + 14*a**2 + 50*a - 1. Let c(v) = v + 1. Let o(k) = -4*c(k) + y(k). Factor o(q).
-3*(q - 8)*(3*q + 1)
Suppose -d**2 + 5*d**2 - 21*d - 538 - 38*d + 82 + 7*d = 0. What is d?
-6, 19
Let b(p) = -3*p**3 - 39*p**2 + 160*p - 133. Let f(o) = -40*o**2 - 134 - o**3 + 1156*o - 996*o - 3*o**3. Let g(l) = -6*b(l) + 5*f(l). Factor g(w).
-2*(w - 8)**2*(w - 1)
Let p(t) be the second derivative of -t**4/15 + 124*t**3/5 + 1134*t**2/5 - 185*t - 3. Factor p(b).
-4*(b - 189)*(b + 3)/5
Find q such that 62/3*q + 52/3*q**2 - 56/3 + 4/3*q**4 + 2/3*q**5 - 64/3*q**3 = 0.
-7, -1, 1, 4
Let p(s) be the third derivative of -23*s**6/180 + 38*s**5/15 + 5*s**4/9 + 5*s**2 - 3*s. Factor p(n).
-2*n*(n - 10)*(23*n + 2)/3
Let v be (22 + -11)/((-1)/(-2)). Determine z so that -2*z + 2 + v - z**2 - 1 - 21 + 13 = 0.
-5, 3
Let n be 360/162*(-36)/8. Let b be (2*(-4)/n)/((-2)/(-10)). Let -3/5*l**b + 0*l**3 + 21/5*l**2 + 0 - 18/5*l = 0. Calculate l.
-3, 0, 1, 2
Suppose -3*z - 58*d + 50*d = 10, -3*d + 4 = 5*z. Factor -14/11*t**z - 6/11*t + 8/11.
-2*(t + 1)*(7*t - 4)/11
Let i(y) be the second derivative of 0*y**2 - 71 + 7/15*y**5 - y + 5/9*y**3 - 43/36*y**4. Find o, given that i(o) = 0.
0, 2/7, 5/4
Suppose -3*m - 2 = a, -3*m + 4*a + 1365 = 1312. Suppose -4/3*z**2 + 0 + 0*z + 1/3*z**m + 1/6*z**4 = 0. Calculate z.
-4, 0, 2
Let o = 90281/5 + -18056. Determine y, given that 2/5*y - 3/5*y**2 + o = 0.
-1/3, 1
Factor 135*m**2 + 1100 + 138*m**2 - 254*m + 33*m - 325*m - 275*m**2.
-2*(m - 2)*(m + 275)
Let a(g) be the third derivative of g**5/100 - g**4/4 - 120*g**3 + 6340*g**2. Find i, given that a(i) = 0.
-30, 40
Factor 8163*l - 125*l**2 + 12288 + l**3 - 3979*l - 472*l.
(l - 64)**2*(l + 3)
Suppose 2*g = 4*g - 5*s - 112, -4*g = 4*s - 196. Let o be (-24)/240 - g/(-210). Factor -16/7 + 8/7*q - o*q**2.
-(q - 4)**2/7
Let j be (-2170)/(-186)*(-12)/(-7). Factor -5/3*r**4 + 0*r + 0 - j*r**2 + 65/3*r**3.
-5*r**2*(r - 12)*(r - 1)/3
Let v(k) = -40*k**3 + 20*k**2 + 35*k + 5. Let n(u) = -41*u**3 + 19*u**2 + 33*u + 5. Suppose 6 - 10 = t. Let x(j) = t*v(j) + 5*n(j). Factor x(d).
-5*(d - 1)*(3*d + 1)**2
Let o(v) be the second derivative of v**7/84 - 2*v**6/15 + 3*v**5/5 - 17*v**4/12 + 23*v**3/12 - 3*v**2/2 + 820*v. Factor o(c).
(c - 3)*(c - 2)*(c - 1)**3/2
Determine o, given that 2303*o - 2358639 + o**2 - 8511*o - 3*o**2 - 1504151 - 954618 = 0.
-1552
Let h(i) be the third derivative of -8 + 0*i - 4/5*i**5 + 11/40*i**6 - i**2 - 1/8*i**4 + 3*i**3. Factor h(c).
3*(c - 1)**2*(11*c + 6)
Let b(q) = 15*q**2 - 105*q - 1267. Let t(n) = -7*n**2 + 52*n + 633. Let o(c) = 6*b(c) + 13*t(c). Find r such that o(r) = 0.
-11, 57
Let h be (-78)/(-65) + (-18)/15. Let f be 1/(-3) - (-2)/1. Factor 5*g + h - f*g**2.
-5*g*(g - 3)/3
Let x(i) = 11 + 2*i**2 - 11 - i. Let c(l) = -9*l**2 + 9*l - 6. Let a(y) = -3*c(y) - 12*x(y). Factor a(q).
3*(q - 3)*(q - 2)
Let -16/9*y + 20/3*y**3 - 40/9*y**2 + 0 - 14/9*y**5 + 10/9*y**4 = 0. What is y?
-2, -2/7, 0, 1, 2
Let q(c) = 31*c + 35 + 4*c + 126 - 2*c + 39. Let n be q(-6). Factor -16/7*v + 12/7*v**n + 4/7*v**3 + 0.
4*v*(v - 1)*(v + 4)/7
Let w(x) be the second derivative of 1/40*x**5 + 2*x - 27*x**2 + 12 - 5/8*x**4 + 6*x**3. Find l such that w(l) = 0.
3, 6
Let o be 2/((-20)/(-99)) - 28/(-1848)*-495. Factor 26/5*d + o + 2*d**2.
2*(d + 2)*(5*d + 3)/5
Let y = -297 - -299. Determine r, given that -4*r**2 + 0*r**y - 12*r + 371 - 299 = 0.
-6, 3
Let u(f) be the third derivative of -5/8*f**4 + 0*f**5 + 1/24*f**6 + 0*f + 5/3*f**3 + 4*f**2 - 1. Factor u(x).
5*(x - 1)**2*(x + 2)
Let l be (18/(-8) + 1)*(-1240)/5425. Let i = 4 - 2. Find s, given that l*s**3 + 10/7*s + 4/7 + 8/7*s**i = 0.
-2, -1
Let y(a) be the third derivative of -2*a**2 + 4/11*a**3 + 1/330*a**5 - 7/132*a**4 - 42*a + 0. Factor y(f).
2*(f - 4)*(f - 3)/11
Suppose -81250 = -35*q - 81110. Factor -16/7*t**2 + 0 + 16/7*t + 400/7*t**q - 220/7*t**3.
4*t*(4*t + 1)*(5*t - 2)**2/7
Let c(i) be the third derivative of -49*i**2 - 4/105*i**5 - 1/2*i**4 + 0 + 0*i**3 + 0*i + 1/210*i**6. Factor c(d).
4*d*(d - 7)*(d + 3)/7
Let r(j) be the first derivative of -5*j**4/24 + 145*j**3/18 - 85*j**2/4 - 135*j/2 - 1686. Factor r(w).
-5*(w - 27)*(w - 3)*(w + 1)/6
Let l(i) be the third derivative of -3/40*i**4 - 1/105*i**7 - 39 - 2*i**2 + 1/75*i**6 + 1/30*i**5 + 0*i + 0*i**3 + 1/1680*i**8. Suppose l(m) = 0. Calculate m.
-1, 0, 1, 9
Let c(n) = n**2 + 66295*n + 265164. Let q be c(-4). Find m, given that 0 + 0*m**2 + q*m + 10/13*m**5 - 6/13*m**3 - 4/13*m**4 = 0.
-3/5, 0, 1
Let f(s) = 130*s - 1167. Let d be f(9). Solve 1/2*h - 1/4*h**4 + 0*h**2 - 1/2*h**d + 1/4 = 0 for h.
-1, 1
Let u(z) = -z**3 + 12*z**2 - 13*z + 27. Let r be u(11). Factor 37*y - 11*y**3 + 53*y**3 + 12*y**5 + 13*y**4 + 58*y**2 + 9 - 11*y**r.
(y + 1)**4*(y + 9)
Let r(i) be the first derivative of -i**4/8 + 319*i**3/6 - 79*i**2 - 318*i - 11832. Suppose r(c) = 0. What is c?
-1, 2, 318
Let g b