*5 + 0*b**4 + 6/5*b**q + 9/5*b**3 = 0. What is b?
-1, 0, 2
Let d be -6 - 20*(-9)/24. Suppose -d*g**2 + 15/2*g**4 - 6 - 12*g + 21/2*g**3 + 3/2*g**5 = 0. Calculate g.
-2, -1, 1
Let o(w) be the third derivative of -w**7/1260 - w**6/180 - w**5/72 - w**4/72 - 2*w**2. Factor o(s).
-s*(s + 1)**2*(s + 2)/6
Let b(d) = d + 4. Let g be b(0). Suppose -3*r + 6 = g*p - 13, 0 = 4*p + 2*r - 18. Factor -5*s**3 + 0*s**p - 3*s**3 + 8*s**4 - 2*s**5.
-2*s**3*(s - 2)**2
Let r(n) be the first derivative of -12/5*n**5 + 0*n - 1/2*n**6 + 0*n**2 + 0*n**3 - 3*n**4 - 29. Determine u so that r(u) = 0.
-2, 0
Suppose 105 = -2*s - 49. Let r be 4 + 5/((-5)/s). Factor 524*t**3 + 32 + 10*t**3 - r*t**3 + 196*t**4 + 744*t**2 + 272*t + 247*t**3.
4*(t + 1)*(t + 2)*(7*t + 2)**2
Find f such that 19/6*f - 7/3 - 1/6*f**3 - 2/3*f**2 = 0.
-7, 1, 2
Let t(j) be the second derivative of -9*j**5/40 + j**4/4 + 19*j**3/4 + 9*j**2/2 + 161*j. Suppose t(p) = 0. What is p?
-2, -1/3, 3
Let j = -5 + 14. Factor 48*l**3 - 54*l**3 + 15 - 3*l**4 - 42*l + j*l**2 + 4*l**2 + 23*l**2.
-3*(l - 1)**3*(l + 5)
Suppose -5*y + 3*g = -29, 0*g + g = 4*y - 19. Suppose 4*j - 3*r - 7 = 0, 3*r + r - 28 = -y*j. Factor -7*v**2 + 4*v**2 + 5*v**3 - j*v**3 + 2*v.
v*(v - 2)*(v - 1)
Let g(q) be the third derivative of 1/7*q**3 + 13/56*q**4 + 27/140*q**5 + 23/280*q**6 + 0 + 5*q**2 + 1/70*q**7 + 0*q. Suppose g(i) = 0. What is i?
-1, -2/7
Let u(g) be the first derivative of 3*g**4/4 + 3*g**3 - 135*g**2/2 + 243*g - 418. Factor u(v).
3*(v - 3)**2*(v + 9)
Let w(k) be the third derivative of -k**7/630 - k**6/180 + k**5/20 + k**4/36 - 4*k**3/9 - k**2 + 20*k. Let w(c) = 0. What is c?
-4, -1, 1, 2
Factor 9/5*x**2 + 114/5 + 177/5*x.
3*(x + 19)*(3*x + 2)/5
Factor -4*j**3 - 4/5*j - 8/5*j**4 + 0 - 16/5*j**2.
-4*j*(j + 1)**2*(2*j + 1)/5
Let m = 61 - 59. Factor -1 - s**m + 3*s**3 + 9*s + 0 - 2 - 8*s**2.
3*(s - 1)**3
Find j such that 58/15*j - 2/15*j**3 - 26/15*j**2 - 2 = 0.
-15, 1
Let q(p) be the second derivative of 1/2160*p**6 - 2/3*p**3 + 0*p**2 - 1/360*p**5 - 4*p + 0 + 0*p**4. Let t(f) be the second derivative of q(f). Factor t(u).
u*(u - 2)/6
Let a(d) be the third derivative of 2*d**7/735 + d**6/21 + 17*d**5/105 + 4*d**4/21 - 338*d**2. Determine o so that a(o) = 0.
-8, -1, 0
Let l(d) be the second derivative of -d**4/3 + 10*d**3/3 + 12*d**2 + 3*d + 11. Let l(c) = 0. What is c?
-1, 6
Let r(w) be the second derivative of -w**5/90 - w**4/54 + 10*w**3/27 - 8*w**2/9 - 2*w - 17. Determine k, given that r(k) = 0.
-4, 1, 2
Let o = 1102 + -1100. Let 0*f + 2/5*f**4 - 4/5*f**o - 2/5*f**3 + 0 = 0. Calculate f.
-1, 0, 2
Let u(f) be the first derivative of 6*f**2 - 10 + 0*f - 4/3*f**3. What is k in u(k) = 0?
0, 3
Let o(y) be the first derivative of -6/5*y**5 - 32 + 0*y**3 - 1/3*y**6 + 0*y + 0*y**2 - y**4. Factor o(k).
-2*k**3*(k + 1)*(k + 2)
Suppose -3*m = 2*s - 105, -144 = -0*m - 4*m - 4*s. Factor -41 - 12*j**2 - 39*j + 11*j + m.
-4*(j + 2)*(3*j + 1)
Let b be (0 - (-532)/(-66))/((-1716)/117). Let k = b + -6/121. Determine a so that k - 1/4*a**2 - 1/4*a = 0.
-2, 1
Let u be 0*(-9)/(-11 + -25). Let n(q) be the third derivative of -1/90*q**5 + 1/18*q**4 + u + 0*q + 12*q**2 + 1/3*q**3. Determine y, given that n(y) = 0.
-1, 3
Let a be (238/(-42))/((-11)/3) - 1. Find w, given that 2/11*w**4 + 6/11*w**2 + a*w**3 + 2/11*w + 0 = 0.
-1, 0
Let m(p) be the first derivative of -p**6/15 + 3*p**5/10 - p**4/3 - 17*p - 10. Let g(c) be the first derivative of m(c). Determine l, given that g(l) = 0.
0, 1, 2
Suppose 2*v - 7*v + 5*a = -210, 2*v + a = 75. Factor -7*m**2 - 36 - 28 - 3*m**4 + v*m**2 - m**4.
-4*(m - 2)**2*(m + 2)**2
Let w be (5/2)/(5/30). Let n(f) = -9*f**3 - 14*f**2 - f - 4. Let u(k) = -35*k**3 - 55*k**2 - 5*k - 15. Let s(q) = w*n(q) - 4*u(q). Determine a so that s(a) = 0.
-1, 0
Let p(w) be the first derivative of -2*w**3/21 + 3*w**2/7 - 104. Factor p(s).
-2*s*(s - 3)/7
Let 23120/3 - 680/3*n + 5/3*n**2 = 0. What is n?
68
Let x(b) = -49*b - 781. Let z be x(-16). Let i(p) be the first derivative of 25/2*p**4 + 15*p**2 - 5 + 5*p + 20*p**3 + z*p**5. Factor i(h).
5*(h + 1)**3*(3*h + 1)
Find j, given that 0 + 0*j + 12/5*j**2 + 24/5*j**3 + 3*j**4 + 3/5*j**5 = 0.
-2, -1, 0
Let p(i) = -6*i**3 + 21*i**2 + 15*i + 6. Let k be (0 - -3) + -2 - -4. Suppose -r + 4 = k. Let v(u) = -u**3 + u**2. Let c(d) = r*p(d) + 9*v(d). Factor c(q).
-3*(q + 1)**2*(q + 2)
Suppose -44/3*g + 10/3*g**2 + 8 + 5*g**3 - 1/3*g**5 - 4/3*g**4 = 0. What is g?
-6, -2, 1, 2
Let t(z) be the second derivative of -z**5/20 + 7*z**2/2 + 5*z. Let b(i) be the first derivative of t(i). Factor b(f).
-3*f**2
Let g(p) be the second derivative of -p**5/270 - p**4/54 - p**3/27 + 19*p**2/2 - 35*p. Let s(r) be the first derivative of g(r). Factor s(n).
-2*(n + 1)**2/9
Let t(u) = 12*u**2 - 35*u + 195. Let w(o) = 10*o**2 - 36*o + 196. Let j(m) = -4*t(m) + 5*w(m). Determine y, given that j(y) = 0.
10
Let b(s) = 13*s**2 - 104*s. Let m be b(8). Let q(y) be the third derivative of -4*y**2 - 11/90*y**5 + 1/4*y**4 + 0 + 2/9*y**3 + m*y. Solve q(l) = 0.
-2/11, 1
Let r be 2115/210 + 6/(-4). Solve -300/7*i + 500/7 - 4/7*i**3 + r*i**2 = 0.
5
Let g be (-1)/(-4) + (-8)/32. Suppose -3*v + 5*v - 30 = g. Factor -3*s**3 + 3*s**4 - 3*s**2 + 15*s - v*s - 3*s**5 + 6*s**5.
3*s**2*(s - 1)*(s + 1)**2
Let y(x) = -x**3 - 2*x**2 - x - 1. Let l(s) = -2517*s**3 - 684*s**2 - 42*s + 6. Let z(u) = -l(u) - 6*y(u). Let z(i) = 0. Calculate i.
-4/29, 0
Let m(z) be the first derivative of 5/3*z**3 + 15 + 25/2*z**2 + 0*z. Suppose m(u) = 0. Calculate u.
-5, 0
Let 125/4 - 65/2*w + 5/4*w**2 = 0. Calculate w.
1, 25
Factor -51/8*g + 3/2 + 3/2*g**2.
3*(g - 4)*(4*g - 1)/8
Let f(s) be the second derivative of s**4/108 + 55*s**3/54 - 28*s**2/9 + 554*s. Determine q, given that f(q) = 0.
-56, 1
Let w be -1*20/200*-10. Determine r, given that -1/3*r**5 + 2/3*r**3 - w - r**4 - 1/3*r + 2*r**2 = 0.
-3, -1, 1
Let k be (((-16)/54)/((-170)/(-357)))/((-4)/10). Solve 2/9*m**3 + 14/9 - 2/9*m - k*m**2 = 0 for m.
-1, 1, 7
Let q be -4 + 0 - (-15 + 2). What is y in -q*y + 2*y**3 + y + 7*y - y**3 = 0?
-1, 0, 1
Let u be -1*15/35 + (-66)/(-56). Let c = u + -1/4. Factor -c*j**2 - j + 0.
-j*(j + 2)/2
Let x = -296 - -298. Let t(v) be the second derivative of 1/48*v**4 - 1/8*v**2 + 0 + 1/24*v**3 + x*v - 1/80*v**5. Let t(o) = 0. What is o?
-1, 1
What is a in -2*a**4 + 0*a + 0*a**2 + 0 - 2/3*a**5 - 4/3*a**3 = 0?
-2, -1, 0
Suppose -3*b + 7*b = 16. Suppose -109 = -b*z - 37. Factor -10 - z - 3*r**2 + 9*r + 1 - 27*r.
-3*(r + 3)**2
Let k(r) be the third derivative of r**6/60 + r**5/6 + r**4/3 + 53*r**2. Determine f, given that k(f) = 0.
-4, -1, 0
Let t = -14 + 31. Let p = -15 + t. Determine z so that 3*z**p + 4 - 11*z**2 + 16*z + 15*z**2 = 0.
-2, -2/7
Let t = -134 + 136. Factor 2*o**t + 2*o**2 + 3*o + o.
4*o*(o + 1)
Let w = -31 + 45. Let z be 105/w*3*3/45. Determine r so that -9/4 - 1/4*r**2 - z*r = 0.
-3
Let l(s) be the first derivative of -3*s**6/2 - 24*s**5/5 + 51*s**4 + 198*s**3 + 525*s**2/2 + 150*s - 331. Let l(c) = 0. Calculate c.
-5, -1, -2/3, 5
Let m(q) be the third derivative of -q**7/5880 + q**6/105 - 8*q**5/35 - q**4/3 - 18*q**2. Let h(w) be the second derivative of m(w). What is g in h(g) = 0?
8
Let z(t) be the third derivative of t**5/10 + t**4/8 - 55*t**3/2 - 57*t**2 + 2. Factor z(b).
3*(b - 5)*(2*b + 11)
Let p(g) be the first derivative of -g**5/5 + g**4 - 2*g**3/3 - 2*g**2 + 3*g + 113. Determine b so that p(b) = 0.
-1, 1, 3
Let o(c) be the first derivative of 11 + 3/4*c**2 - 3/20*c**5 + 0*c**3 - 3/8*c**4 + 3/4*c. Factor o(j).
-3*(j - 1)*(j + 1)**3/4
Let l = 141 - 138. Solve 2*t + 10/7*t**2 + 2/7*t**l + 6/7 = 0 for t.
-3, -1
Let c = 19 - 13. Suppose 0 = -2*l - l + c. Factor -m**l - 1 - 6*m - 2*m**3 + 3 + 7*m**2.
-2*(m - 1)**3
Suppose -23 = -6*j - 6*j + 1. Factor -2/3*g**j - 2/3*g + 0.
-2*g*(g + 1)/3
Let d(a) be the first derivative of -2*a**3/33 - 14*a**2/11 + 64*a/11 - 127. Determine g, given that d(g) = 0.
-16, 2
Factor 40*k**4 + 328 + 6*k**3 + 58*k**3 + 4*k**5 - 68*k - 8*k**2 - 360.
4*(k - 1)*(k + 1)**3*(k + 8)
Let a(q) = -q**3 - q**2 + 5*q - 1. Let m(u) = 2*u**3 - 6*u + 1. Let v(h) = 3*a(h) + 2*m(h). Solve v(w) = 0 for w.
1
Suppose 21 + 63 = 21*z. Let m(o) be the second derivative of -4/3*o**z - 10/3*o**3 + 2*o - 1/5*o**5 - 4*o**2 + 0. Factor m(c).
-4*(c + 1)**2*(c + 2