b + 1 = v, g - 3 + 2 = -b. Solve -16/3*z - 16/3 + 4/3*z**3 + 1/3*z**4 + g*z**2 = 0 for z.
-2, 2
Let p(t) = 164*t**3 + 100*t**2 - 88*t - 216. Let l(r) = -7*r**3 + r**2 - r - 1. Let j(g) = -24*l(g) - p(g). Solve j(s) = 0.
-1, 2, 30
Let u be 169/(-12 - 1) + 15. Suppose 1/3*i**u + 2*i + 3 = 0. Calculate i.
-3
Let b be -2 + (-6)/(-1) + -2. Let v be (-4 - -2)/(-2)*b. Factor 1 + l + l - l**2 + 2*l**v.
(l + 1)**2
Let i = -751 + 755. Let j(l) be the first derivative of 0*l + 3/20*l**5 + 4 + 0*l**2 + 0*l**3 + 3/8*l**i - 1/8*l**6. Solve j(q) = 0 for q.
-1, 0, 2
Let s(n) be the second derivative of 2*n**6/15 + 48*n**5/5 - n**4 - 284*n**3/3 + 192*n**2 - 217*n. Determine b, given that s(b) = 0.
-48, -2, 1
Solve 0*l**3 - 2/5*l**5 + 0 + 2/5*l - 4/5*l**2 + 4/5*l**4 = 0.
-1, 0, 1
Find t, given that 94*t**2 + 16*t + 312 - 292 + 6*t**4 + 58*t + 46*t**3 = 0.
-5, -1, -2/3
Suppose -2*u + 818 = 3*t, 5*t - 1073 + 251 = -2*u. Find f such that f**3 - 402*f**2 + 3 - 1 + u*f**2 + 5*f = 0.
-2, -1
Let t(q) = -q**2 + 66*q - 244. Let n be t(62). Determine a, given that 16/3*a**3 - 10/3*a**5 + 0 - 14/3*a**n + 0*a + 8/3*a**2 = 0.
-2, -2/5, 0, 1
Let d = -70 - -70. Let j(l) be the third derivative of -1/180*l**5 - 3*l**2 + d*l + 1/315*l**7 + 0*l**4 - 1/360*l**6 + 0*l**3 + 0. Solve j(t) = 0.
-1/2, 0, 1
Let t(l) be the third derivative of 7*l**5/330 - 47*l**4/132 - 14*l**3/33 + 7*l**2 + 8. Factor t(j).
2*(j - 7)*(7*j + 2)/11
Suppose -3*b = -3*w + 3, -16*b + 19*b = -3*w + 9. Let r be 20/(-36)*2/(-5). Find s such that 0 - 4/9*s + r*s**w = 0.
0, 2
Suppose 60*j - 1528 = 64*j. Let z = 3823/10 + j. Factor z*i - 1/10*i**2 - 1/5.
-(i - 2)*(i - 1)/10
Let d(u) be the third derivative of -1/490*u**7 + 0*u**4 + 1/2352*u**8 + 0 + 0*u**5 + 45*u**2 + 1/420*u**6 + 0*u + 0*u**3. Solve d(q) = 0 for q.
0, 1, 2
Factor 6 + 67*o**2 - 21*o**2 + 23*o - 39*o**2.
(o + 3)*(7*o + 2)
Let q(w) = w**2 + 1. Let k be q(-1). Factor 5*i + 12 - 15*i + 3*i**k - 2*i.
3*(i - 2)**2
Let q(z) = 21*z**3 + 22*z**2 + 10*z + 6. Let b(s) be the first derivative of s**4/4 + s**3/3 + s**2/2 + s - 11. Let f(x) = 6*b(x) - q(x). Factor f(m).
-m*(3*m + 2)*(5*m + 2)
Let h = 34 - 20. Let s = h - 12. Factor -3*i**s - 1 - i - 2 + 3.
-i*(3*i + 1)
Let z be 1*-2 - (-11)/((-11)/(-4)). Let m(k) be the third derivative of 0 + 0*k - 1/15*k**3 - 1/120*k**4 - 6*k**z + 1/300*k**5. Find r, given that m(r) = 0.
-1, 2
Let z be ((-22)/6)/(4/12). Let f = 16 + z. Find c such that -2*c**5 + 7*c - f*c**4 - 4*c**3 - 7*c - c**4 = 0.
-2, -1, 0
Let o(v) = 68 + v**2 - 22 - 8*v - 34. Let y be o(6). Factor 1/2*w**4 + y + 1/2*w - 1/2*w**2 - 1/2*w**3.
w*(w - 1)**2*(w + 1)/2
Let 2*g**3 + 2/15*g**2 - 2/15*g**4 + 16/5 - 76/15*g - 2/15*g**5 = 0. What is g?
-4, -2, 1, 3
Let m(h) = -h**3 + 19*h**2 - 16*h - 34. Let r be m(18). Let d(s) be the first derivative of -1 + 1/2*s**4 + 8/3*s**3 + 4*s**r + 0*s. Factor d(v).
2*v*(v + 2)**2
Suppose 71*m = 60*m. Let f = 18 + -16. Factor -6/11*g**3 - 2/11*g**4 + 8/11*g + m*g**f + 0.
-2*g*(g - 1)*(g + 2)**2/11
Let o be (-2)/(-15) - 535/75. Let y be (o - -6)/((-9)/6). Find s such that -y*s + 2/3*s**3 + 0 - 2/3*s**4 + 2/3*s**2 = 0.
-1, 0, 1
Suppose 5*s + 3*c - 1877 = 0, 0 = -2*s - 4*c + 3*c + 751. Let x be s/(-2)*(-1)/4. Factor -j**3 + x - j**4 - 47 + j + j**2.
-j*(j - 1)*(j + 1)**2
Suppose 0 = -28*j + 18*j + 30. Suppose 0 = -n - 4, 3*g + 1 + 1 = -5*n. Factor 4*u - 2*u**4 - 6*u**3 - g*u**2 - 3*u - j*u.
-2*u*(u + 1)**3
Let a(b) be the second derivative of -b**4/24 + 11*b**3/12 - 5*b**2/2 + 90*b. Factor a(n).
-(n - 10)*(n - 1)/2
Let n(s) = s**3 + s**2 + 5*s + 37. Let u be n(-3). Solve 2/7*y**5 + 0 - 8/7*y**2 + 0*y**3 + 0*y + 6/7*y**u = 0.
-2, 0, 1
Let k(r) be the first derivative of 5/2*r**2 - 1/20*r**5 + 0*r - 2*r**3 + 5 - 1/2*r**4. Let m(z) be the second derivative of k(z). Factor m(y).
-3*(y + 2)**2
Find s such that 0 + 1/3*s**2 - 20/3*s = 0.
0, 20
Let h(w) be the third derivative of -w**7/4620 + w**5/660 - w**3 - 9*w**2. Let m(p) be the first derivative of h(p). Determine i so that m(i) = 0.
-1, 0, 1
Suppose -7859 + 7922 = 9*x. Let v(n) be the third derivative of 0 - x*n**2 + 0*n + 1/6*n**4 + 1/6*n**5 - n**3. Factor v(s).
2*(s + 1)*(5*s - 3)
Let y(m) be the second derivative of m**4/84 - 4*m**3/21 + 6*m**2/7 - 69*m. Factor y(r).
(r - 6)*(r - 2)/7
Let c(z) be the third derivative of 1/24*z**3 - 1/1680*z**7 + 0*z + 1/160*z**5 + 0 + 5/192*z**4 - 14*z**2 - 1/960*z**6. Factor c(v).
-(v - 2)*(v + 1)**3/8
Let p(n) = 60 - 32 + n - 34. Let o be p(6). Factor 4/5*d**4 + 1/5*d**5 + 4/5*d**2 + 6/5*d**3 + 1/5*d + o.
d*(d + 1)**4/5
Let t(l) be the first derivative of -l**5 - 33*l**4/2 - 128*l**3/3 - 39*l**2 - 11*l + 137. Let t(b) = 0. What is b?
-11, -1, -1/5
Factor -1/3*q**5 + 0*q - 2*q**3 + 0*q**2 - 5/3*q**4 + 0.
-q**3*(q + 2)*(q + 3)/3
Solve 2/7*t**2 + 0 + 24/7*t = 0 for t.
-12, 0
Suppose 8 - 14 = -3*l, 2*l = -3*o + 10. Let y(n) = n**2 - 6*n - 5. Let z be y(7). Factor -4/3*u**o + 0*u + 0 - z*u**3.
-2*u**2*(3*u + 2)/3
Let n be 0 - 3/2*(-424)/36. Let k = n + -263/15. Factor -2/5 - 4/15*v + k*v**2.
2*(v - 3)*(v + 1)/15
Let m(b) = b**2 - b + 24. Let q be m(0). Determine l so that -2*l**2 + 0*l**2 - 58 - 14 + 0*l**2 + q*l = 0.
6
Let m(z) be the first derivative of z**5/15 + z**4/3 - 2*z**3/9 - 2*z**2 + 14*z + 23. Let o(x) be the first derivative of m(x). Factor o(t).
4*(t - 1)*(t + 1)*(t + 3)/3
Let f = -32 - -36. Factor -9*q**2 - f*q - 8 - 19*q**2 - 32*q.
-4*(q + 1)*(7*q + 2)
Let c(u) be the second derivative of u**7/490 + u**6/56 + 2*u**5/35 + u**4/14 - 7*u**2/2 + 12*u. Let p(v) be the first derivative of c(v). Factor p(l).
3*l*(l + 1)*(l + 2)**2/7
Let z(u) = -15*u**4 + 52*u**3 + 74*u**2 - 173*u. Let j(f) = 10*f**4 - 35*f**3 - 50*f**2 + 115*f. Let v(r) = -7*j(r) - 5*z(r). Find i such that v(i) = 0.
-2, 0, 2, 3
Solve -2*b**3 + 6/11*b**2 + 32/11*b - 8/11 - 8/11*b**4 = 0 for b.
-2, 1/4, 1
Let r(l) be the third derivative of -l**7/315 - l**6/45 - l**5/18 - l**4/18 + 8*l**2 + 3*l. Factor r(w).
-2*w*(w + 1)**2*(w + 2)/3
Suppose 20*g = 67*g + 19*g. Factor 2/7 + g*k - 2/7*k**2.
-2*(k - 1)*(k + 1)/7
Let w(a) = -3*a**4 + 31*a**3 - 161*a**2 + 283*a - 182. Let x(r) = -3*r**4 + 32*r**3 - 160*r**2 + 284*r - 184. Let p(m) = -4*w(m) + 5*x(m). Factor p(y).
-3*(y - 4)**2*(y - 2)**2
Let s(q) = 9*q - 3. Let h be s(3). Determine a, given that 5*a**5 + 55*a**4 + 354*a**2 - h*a**2 + 135 + 120*a**2 + 292*a + 113*a + 230*a**3 = 0.
-3, -1
Suppose 36 = 4*f + 1045*w - 1043*w, 2*w = -2*f + 18. Solve 15*p + f - 5/2*p**3 + 13/4*p**2 + 1/4*p**4 = 0.
-1, 6
Let r = -441/5 - -88. Let s = r + 7/10. Factor 1/2*k**2 - 1/2*k**4 + 0 + s*k**5 - 1/2*k**3 + 0*k.
k**2*(k - 1)**2*(k + 1)/2
Factor -42 + 8*k - 18*k + 10*k - k**2 + 58.
-(k - 4)*(k + 4)
Let l = 3546 - 3546. Let l*q + 1/2*q**2 - 1/2 = 0. What is q?
-1, 1
Let u(w) be the third derivative of 19/144*w**6 + 0*w + 0 + 5/252*w**7 + 19/60*w**5 + 2/9*w**3 + 38*w**2 + 13/36*w**4. Factor u(b).
(b + 1)*(b + 2)*(5*b + 2)**2/6
Determine a, given that 40*a - 42*a**5 - 39*a**5 + 5*a**2 - 5*a**4 + 86*a**5 + 20 - 25*a**3 = 0.
-1, 2
Let y(q) be the second derivative of 80*q**7/63 + 136*q**6/45 + 29*q**5/30 - 29*q**4/18 - q**3/9 + q**2/3 + q - 225. What is k in y(k) = 0?
-1, -1/5, 1/4
Let b be (-1)/(-3*1/21). Let h(n) = 4*n - 28. Let i be h(b). Determine j, given that 0*j - 1/2*j**2 + i = 0.
0
Let a(p) = -7*p**4 - 27*p**3 - 17*p**2 + 39*p + 2. Let q(o) = -190*o**4 - 730*o**3 - 460*o**2 + 1050*o + 55. Let d(c) = 55*a(c) - 2*q(c). Factor d(x).
-5*x*(x - 1)*(x + 3)**2
Let r = -1008 - -1010. Factor 2/7*f - 2/7*f**3 - 2/7 + 2/7*f**r.
-2*(f - 1)**2*(f + 1)/7
Let n(f) be the second derivative of -5*f**6/6 - 13*f**5/4 + 10*f**4/3 + 70*f**3/3 + 65*f - 2. What is j in n(j) = 0?
-2, 0, 7/5
Let o = -10 - -8. Let z(f) = -4*f**3 + 2*f**2 + 2*f + 3. Let p(r) = -1. Suppose 4*q = -3*n - 18, 0*n - n + 8 = -q. Let c(d) = o*z(d) + q*p(d). Factor c(i).
4*i*(i - 1)*(2*i + 1)
Let x(k) be the first derivative of 5*k**6/6 + 5*k**5 + 45*k**4/4 + 35*k**3/3 + 5*k**2 + 231. Suppose x(s) = 0. Calculate s.
-2, -1, 0
Let z(g) be the third derivative of g**8/84 - 4*g**7/21 + g**6 - 8*g**5/3 + 25*g**4/6 - 4*g**3 - 3*g**2 + 3*g. Solve z(o) = 0.
1, 6
Suppose -n + q + 3 = 2*q, 3 = n - 4*q. Suppose 2*j = 4*y, 0 = -j + 2*y - 3*y + 6. Factor -l - l**3 + l + l - 4*l**2 + 7*l**n - j*l**4