*2 + 27/2.
3*(y + 1)*(y + 9)*(4*y + 1)/2
Suppose -3/4*x**2 + 45/4 - 21/2*x = 0. Calculate x.
-15, 1
Suppose 0 + 1/2*d**5 + 3/2*d**2 + 1/2*d**3 - d - 3/2*d**4 = 0. What is d?
-1, 0, 1, 2
Let u(a) be the first derivative of -2*a**5/5 - 9*a**4/8 + a**3/3 + 9*a**2/4 + a + 111. Let u(i) = 0. What is i?
-2, -1, -1/4, 1
Let t = -625 + 625. Let v(h) be the second derivative of 1/50*h**5 + 0*h**4 + 1/75*h**6 + h + t*h**2 + 0 + 0*h**3. Factor v(r).
2*r**3*(r + 1)/5
Suppose 140 = 180*l - 134*l + 48. Suppose 8/7*x + 4/7*x**l - 12/7*x**3 + 0 = 0. What is x?
-2/3, 0, 1
Suppose -375*v**2 + 297*v**2 + 12*v**3 - 3*v**3 + 169*v = 0. What is v?
0, 13/3
Let t(z) be the third derivative of z**6/1440 - 7*z**5/480 - z**4/12 + 37*z**3/6 + 18*z**2. Let k(y) be the first derivative of t(y). Factor k(w).
(w - 8)*(w + 1)/4
Factor 264*o + 7*o**2 + 21*o + o**3 + 450 + o**2 + 24*o**2.
(o + 2)*(o + 15)**2
Suppose 2*q - 7 = 1. Suppose -y - 2*x + 36 = y, 12 = -q*x. Factor i**5 + y*i**2 - i**3 - 20*i**2 - i**4 + 0*i**3.
i**2*(i - 1)**2*(i + 1)
Let v be 2*-5*(1 + (-40)/25). Find n such that -n**4 - 43*n**2 + v*n**3 + 46*n**2 - 6*n - 2*n**4 = 0.
-1, 0, 1, 2
Let w(l) = -4*l**2 - 38*l - 16. Let z(h) = -h**2 - h. Suppose -c = -2*c + 2*m + 1, 3*c - m = -2. Let q(k) = c*w(k) - 6*z(k). Determine o, given that q(o) = 0.
-4, -2/5
Let m(x) be the first derivative of -x**3 + 6*x**2 - 12*x + 38. Let m(t) = 0. Calculate t.
2
Let y(m) = m**3 + 6*m**2 - 2*m + 5. Let z be y(-5). Let v = z + -38. Solve 2*o**v + 0*o**2 + 2*o + 37 - 39 - 2*o**3 = 0.
-1, 1
Determine y so that -206 + 95 - 673 + 971*y**2 - 972*y**2 - 56*y = 0.
-28
Let k(v) be the first derivative of 1/4*v**4 - v**3 + 2*v - 1/2*v**2 + 1/5*v**5 + 27. Factor k(r).
(r - 1)**2*(r + 1)*(r + 2)
Let o(y) be the second derivative of 0*y**2 - 9/35*y**5 - 2/21*y**3 + 0 - 8/105*y**6 - 20*y - 2/7*y**4. Find j such that o(j) = 0.
-1, -1/4, 0
Let r(t) be the first derivative of -2*t**3/39 - 30*t**2/13 - 328. Factor r(q).
-2*q*(q + 30)/13
Let n = 58 + -52. Factor -n*q + q**2 - 2*q + q + 2*q.
q*(q - 5)
Suppose -t = -4*d - 20, 0*t + 4 = -t - 2*d. Determine b so that -636*b**3 + 2*b**4 + 0*b**t + 642*b**3 = 0.
-3, 0
Suppose -4*p = -9*p + 435. Factor p*l**4 - 5*l - 5*l**5 - 47*l**4 - 40*l**4 + 10*l**3.
-5*l*(l - 1)**2*(l + 1)**2
Let a = 6227/2 + -3113. Let -3/2 - a*m**2 + 2*m = 0. What is m?
1, 3
Let c(w) be the second derivative of -3*w**7/14 - 8*w**6/5 + 9*w**5/4 + 4*w**4 - 6*w**3 + 98*w. Let c(f) = 0. What is f?
-6, -1, 0, 2/3, 1
Factor -7/2*a - 1/4*a**2 + 0.
-a*(a + 14)/4
Let s(h) be the third derivative of -32*h**2 - 7/120*h**5 + 1/24*h**4 + 0 + 0*h**3 + 0*h. Factor s(u).
-u*(7*u - 2)/2
Suppose -3 = 9*n - 8*n + l, 7*l = -21. Solve -3/7*q**2 - 9/7*q**5 - 3/7*q**3 + 15/7*q**4 + 0 + n*q = 0.
-1/3, 0, 1
Let r(a) = -a**2 + 14*a - 18. Let v be r(12). Solve v - 2*q**2 - 4 - q**4 + 3*q**3 - 2 = 0 for q.
0, 1, 2
Let z(j) = -j**2 + 6*j - 1. Let w be (-1*2)/(6/(-27)). Let h = w + 2. Let d(i) = -3*i**2 + 17*i - 3. Let s(y) = h*z(y) - 4*d(y). Let s(r) = 0. Calculate r.
1
Suppose -5*m - 5*p - 15 = 0, 64*m - 60*m + 5*p + 15 = 0. Let f(u) be the first derivative of 3 + 2*u**2 - 4/3*u**3 + m*u. Factor f(g).
-4*g*(g - 1)
Factor 0*j**2 - j**4 - 159*j**3 - 83*j**2 + 144*j**3 + 14 + 4*j**2 - 165*j - 114.
-(j + 1)*(j + 4)*(j + 5)**2
Let g(n) be the third derivative of 0*n**3 - 1/75*n**5 + 1/150*n**6 + 0 - 4*n**2 + 0*n**4 + 0*n. Suppose g(q) = 0. Calculate q.
0, 1
Let g(j) be the first derivative of -j**5 + 5*j**4/4 + 5*j**3/3 - 5*j**2/2 + 4. Solve g(x) = 0 for x.
-1, 0, 1
Let r = -5/4214 - -162259/16856. Let -r*f + 15/4 + 5/8*f**2 = 0. Calculate f.
2/5, 15
Suppose -140 = -21*i - 264 + 166. Factor -3/5*o**4 + 8/5 - 12/5*o - 6*o**i - 17/5*o**3.
-(o + 2)**3*(3*o - 1)/5
Let g(i) = -i**3 - i**2 + 2*i - 2. Let o(u) = -5*u**2 + 2*u - 2. Let z(h) = 4*g(h) - 4*o(h). Let z(v) = 0. What is v?
0, 4
Let a(d) be the third derivative of d**5/75 + 2*d**4/5 + 22*d**3/15 + 43*d**2. Factor a(j).
4*(j + 1)*(j + 11)/5
Let x = 26/11 - 1549/660. Let m(d) be the third derivative of x*d**5 + 0 + 0*d**3 + 1/12*d**4 + 2*d**2 + 0*d. Factor m(o).
o*(o + 2)
Factor 4/3*w**5 - 16/3*w + 44/3*w**2 + 4/3*w**4 + 0 - 12*w**3.
4*w*(w - 1)**3*(w + 4)/3
Let c(i) be the first derivative of 2*i**5/25 - 9*i**4/10 + 56*i**3/15 - 36*i**2/5 + 32*i/5 - 124. Factor c(o).
2*(o - 4)*(o - 2)**2*(o - 1)/5
Let q = -3473 - -3476. Factor -11/5*n**4 + 2/5*n**2 + 0 + 0*n - 9/5*n**q.
-n**2*(n + 1)*(11*n - 2)/5
Let s(h) = 2*h - 8. Let y be s(5). Solve 5*v + 4 - 6*v**2 - y*v + 0*v - v = 0.
-2/3, 1
Let v be 54/(-2)*2/(-10). Let s be ((-3)/10)/(21/(-126)). Solve s*u**4 + 24/5*u - 21/5*u**2 + v*u**5 - 51/5*u**3 + 12/5 = 0 for u.
-1, -2/3, 1
Let f(l) be the third derivative of -1/30*l**5 + 2/3*l**3 + 1/12*l**4 + 0 + 0*l + 38*l**2. Factor f(g).
-2*(g - 2)*(g + 1)
Let s be (30/200)/((-42)/(-8)). Let y(t) be the second derivative of -s*t**5 + 0*t**3 - 1/42*t**4 + 0 - 1/105*t**6 + 5*t + 0*t**2. Determine i so that y(i) = 0.
-1, 0
Let l(a) be the third derivative of a**6/24 - 29*a**5/12 + 140*a**4/3 - 490*a**3/3 + 2*a**2 - 105. Factor l(d).
5*(d - 14)**2*(d - 1)
Let m(x) = 8*x**3 - 44*x**2 + 30*x - 2. Let r(z) = z**4 - 48*z**3 + 267*z**2 - 181*z + 13. Let y(j) = 13*m(j) + 2*r(j). Factor y(d).
2*d*(d - 2)*(d - 1)*(d + 7)
Let p(n) be the third derivative of -n**7/210 + 7*n**6/60 - 11*n**5/15 + 5*n**4/3 - n**2 + 69*n. Factor p(a).
-a*(a - 10)*(a - 2)**2
Let l(o) be the first derivative of o**6/27 - 4*o**5/15 + 2*o**4/3 - 16*o**3/27 - 115. Factor l(f).
2*f**2*(f - 2)**3/9
Let v be 1*2 + (-10 - -11). Factor 2*i**v + 2*i**3 - 3*i**3 - 28*i**5 + 27*i**5.
-i**3*(i - 1)*(i + 1)
Let v be (-1)/(-3 - (-33)/12). Suppose 7*n - v*n = 3*c, -4*c + 2*n = 0. Solve 4*t**4 - 103*t**2 + c*t**4 + 101*t**2 + t**3 - 3*t**5 = 0 for t.
-2/3, 0, 1
Let t(p) be the first derivative of -p**7/3360 + p**6/720 - p**5/480 - 4*p**3 + 3. Let h(w) be the third derivative of t(w). Factor h(i).
-i*(i - 1)**2/4
Let a = 11/37 + 15/74. Let q(l) be the first derivative of 2*l - 10 + a*l**2 - l**3. Factor q(t).
-(t - 1)*(3*t + 2)
Let q(p) = p**2 - p - 4. Let t be q(-2). Solve -m - 7*m**t + 15*m + 2*m + m**3 - 12 = 0 for m.
2, 3
Let b(k) be the first derivative of -13 + 0*k + 5/2*k**4 + 5*k**2 + 25/3*k**3. Determine u, given that b(u) = 0.
-2, -1/2, 0
Let h(d) = d. Let s(m) be the first derivative of -m**3/3 - m - 13. Let i(b) = 6*h(b) + 3*s(b). Suppose i(l) = 0. What is l?
1
Solve -34/5*a + 1/5*a**2 + 0 = 0 for a.
0, 34
Let c = -7 - -7. Let o = 4721/13 + -363. Determine z, given that 2/13*z + o*z**3 - 4/13*z**2 + c = 0.
0, 1
Let m = -383 + 1151/3. Let u(d) be the first derivative of -d**2 + 2 + 4*d - m*d**3. Factor u(t).
-2*(t - 1)*(t + 2)
Let s(o) be the first derivative of 10*o - 75/2*o**2 + 18 + 110/3*o**3. Factor s(b).
5*(2*b - 1)*(11*b - 2)
Suppose 0 = -m + 5*w - 13, 3*m - 4*w + 20 = -8. Let y = -2 - m. Let -12 - 2*z**2 - 14*z + 2*z - y = 0. Calculate z.
-3
Let w(k) = 2*k**2 + 4*k + 4. Let n be w(-2). Factor n*t**2 - 2 - 2 - 4*t - t - t.
2*(t - 2)*(2*t + 1)
Let w = 61 + -56. Let r(a) = -4*a**2 + 0 + 4 + 5*a - a**2. Let p(y) = 6*y**2 - 6*y - 5. Let d(b) = w*r(b) + 4*p(b). Determine l, given that d(l) = 0.
0, 1
Let w = 59 - 33. Find r, given that 2 - 4*r**2 + 6*r + 14*r + 0*r - w = 0.
2, 3
Let o(m) be the third derivative of 3*m**2 + 0 - 1/132*m**4 + 3/2*m**3 + 0*m**5 + 1/1980*m**6 + 0*m. Let r(p) be the first derivative of o(p). Factor r(d).
2*(d - 1)*(d + 1)/11
Let x(k) = 2*k**2 - 10*k + 8. Let h be x(6). Solve 15*b**3 - 10*b**3 + 11*b**3 - 3*b**4 - 29*b**2 + h*b - 4 = 0.
1/3, 1, 2
Let i(y) = -y**3 - 8*y**2 + 8*y - 7. Let p be i(-9). Let 3*f - 4 - 3*f + 0*f + 4*f**p = 0. What is f?
-1, 1
Suppose -5*a = -2*f - 2*f + 24, -6 = -f + 3*a. Suppose w - f*w = w. Factor -1/5*l**2 + w + 0*l.
-l**2/5
Let h(o) be the second derivative of 15*o**2 + 2*o + 0 - 7/4*o**5 - 20/3*o**4 + 85/6*o**3. Suppose h(a) = 0. What is a?
-3, -2/7, 1
Let z(o) be the third derivative of o**7/70 - 3*o**6/8 - 17*o**5/20 + 15*o**4/8 + 8*o**3 - 2*o**2 - 12. What is d in z(d) = 0?
-1, 1, 16
Suppose 11*v - 6*v**2 + 20*v - 15*v - 2 + 8 = 0. Calculate v.
-1/3, 3
Let h be ((-152)/40 + 4)*15/12. Let x be ((-15)/(-12) - -2) + -3. Solve -1/4*a**3 + 1/4*a + x*a**4 + 0 - h*a**2 = 0 for a.
-1, 0, 1
Let q = 15 - 11. Fac