)*(2*g + 1)/8
Suppose -2 - 2 = -2*s. Let n be 3*(s + -3) - (-35)/10. Factor 0 + 0*b - 1/2*b**4 + 0*b**2 + n*b**3.
-b**3*(b - 1)/2
Let m(a) be the first derivative of 7/20*a**4 + 0*a - 30 + 2/5*a**2 - 9/25*a**5 + 4/3*a**3. Factor m(u).
-u*(u - 2)*(u + 1)*(9*u + 2)/5
Let b(k) be the second derivative of -k**5/180 + k**3/18 + k**2/2 + 12*k. Let x(q) be the first derivative of b(q). Suppose x(a) = 0. Calculate a.
-1, 1
Let a(j) = 4*j**4 + 250*j**3 + 239*j**2 - 249*j - 245. Let g(y) = y**4 + y**2 - y. Let x(p) = a(p) + g(p). Let x(t) = 0. What is t?
-49, -1, 1
Suppose 64/15*n**3 + 208/15*n + 68/5*n**2 - 2/15*n**4 + 14/3 = 0. Calculate n.
-1, 35
Let -2/3*k**3 + 0 + 14/15*k**2 - 2/5*k + 2/15*k**4 = 0. Calculate k.
0, 1, 3
Let a(p) = p**2 + 8*p + 12. Let r be a(-16). Let c be r/25 + 3/(-5). Factor -7*s**2 - c*s**2 - 6*s**2 + 2*s**3 + 14*s**2.
2*s**2*(s - 2)
Let x(j) be the second derivative of -j**10/15120 + j**8/672 - j**6/90 + j**4/12 - 13*j. Let i(t) be the third derivative of x(t). Determine n so that i(n) = 0.
-2, -1, 0, 1, 2
Let j = 26 + -21. Determine t so that 11*t**2 - 4*t - 3*t**2 + j*t**2 - 5*t**2 = 0.
0, 1/2
Let 1/4*r**2 - 13/4*r - 7/2 = 0. Calculate r.
-1, 14
Suppose v + 3*v = 16. Let o be -4 - (-1 - v - 2). Factor 3 + o - 21*r + 8*r**2 - 5*r.
2*(r - 3)*(4*r - 1)
Let s(c) be the first derivative of -3*c**3/2 - 4*c**2 + 2*c + 307. Factor s(w).
-(w + 2)*(9*w - 2)/2
Let y(t) = -t**4 + 93*t**3 - 101*t**2 - 68*t + 87. Let c(r) = -46*r**3 + 50*r**2 + 36*r - 44. Let v(o) = -5*c(o) - 2*y(o). Solve v(s) = 0 for s.
-23, -1, 1
Let b(f) be the first derivative of 2*f**6/3 - 8*f**5/5 - 3*f**4 - 233. Factor b(u).
4*u**3*(u - 3)*(u + 1)
Let r(w) be the second derivative of w**4/15 + 4*w**3/3 - 172*w. What is v in r(v) = 0?
-10, 0
Let q(h) be the second derivative of h**5/90 + 53*h**4/27 - 215*h**3/27 + 12*h**2 + 44*h + 2. Determine d so that q(d) = 0.
-108, 1
Factor -9*w**3 + 39 - 495*w + 108 - 84*w**2 + 6*w**3 + 1203.
-3*(w - 2)*(w + 15)**2
Factor 32 - 6*r + 38*r + 8*r - 4*r**3 + 4*r**2.
-4*(r - 4)*(r + 1)*(r + 2)
Let i(v) be the second derivative of -v**6/15 + 26*v**5 - 8579*v**4/3 + 11180*v**3 - 16641*v**2 - 35*v + 9. Let i(u) = 0. What is u?
1, 129
Let y(b) = -2*b. Let q be y(2). Let l(i) = i + 6. Let v be l(q). Factor -2*a**2 + a + 5*a**3 - 4*a**3 + 0*a**v.
a*(a - 1)**2
Suppose -4*a + z + 3 = 0, 5*a - 72*z + 75*z - 25 = 0. Let q(l) be the first derivative of 0*l - 2*l**a - 9/5*l**5 + 10 - 16/3*l**3 - 21/4*l**4. Factor q(b).
-b*(b + 1)*(3*b + 2)**2
What is m in -26 + 2*m**4 + 128*m + 35/2*m**3 - 201/2*m**2 = 0?
-13, 1/4, 2
Let q(h) = -3*h. Let u be q(-6). Let k be (2 - 5) + 7 - 64/u. Solve -4/9*z**3 + k*z**2 + 2/9 - 2/9*z**5 - 2/3*z**4 + 2/3*z = 0 for z.
-1, 1
Let z(x) = 17*x**4 - 25*x**3 + 5*x**2 + 14*x - 11. Let d(i) = 3*i**4 - 5*i**3 + i**2 + 3*i - 2. Let s(v) = 11*d(v) - 2*z(v). Factor s(j).
-j*(j - 1)*(j + 1)*(j + 5)
Let t = -46 + 55. Let d = 11 - t. Factor 2/5*v**d + 6/5*v + 0.
2*v*(v + 3)/5
Let b(g) be the second derivative of -3*g**8/112 - 29*g**7/168 - g**6/3 - g**5/6 + 6*g**3 - 51*g. Let j(q) be the second derivative of b(q). Factor j(h).
-5*h*(h + 1)*(h + 2)*(9*h + 2)
Let k(v) = v**3 + 4*v**2 + 3*v. Let a be k(-2). Factor 3*g**5 - 4*g**3 - 4*g**a + g**5 - 4*g**4 + 4*g**2 + 4*g**2.
4*g**2*(g - 1)**2*(g + 1)
Let c be (6 - 170/45) + (-2)/9. Let n(a) be the first derivative of -100/7*a - 4/21*a**3 - 20/7*a**c + 11. Factor n(q).
-4*(q + 5)**2/7
Suppose -10 = -3*o + o. Suppose -2*a - o = -35. Factor 2 - 27*k**2 + 2*k - a*k**3 - 11*k + 1.
-3*(k + 1)**2*(5*k - 1)
Suppose 3*d = t - 8, -3 = -d - 4*t + 16. Let g = 6/5 + d. Determine n, given that 2/5 - 1/5*n + g*n**3 - 3/5*n**2 + 1/5*n**4 = 0.
-2, -1, 1
Let f(t) = 10*t**2 - 23*t + 28. Let y(x) = 3*x**2 - 8*x + 8. Let n(d) = 2*f(d) - 7*y(d). Suppose n(z) = 0. Calculate z.
0, 10
Let u(w) be the first derivative of -4/51*w**3 + 2/85*w**5 + 2/17*w + 1/51*w**6 - 1/17*w**4 + 1/17*w**2 - 19. Find r, given that u(r) = 0.
-1, 1
Let r(v) = -v**4 + v**3 - 2*v**2 - 8*v. Let m(x) = x**4 - x**3 - x**2 + 2*x. Let y(q) = 4*m(q) + r(q). Suppose y(d) = 0. Calculate d.
-1, 0, 2
Factor -3/7*g**2 + 54/7 + 3*g.
-3*(g - 9)*(g + 2)/7
Let d(r) be the first derivative of 1/9*r**3 - 32 + 0*r - 2/3*r**2. Determine x so that d(x) = 0.
0, 4
Determine u so that 0 - 2/9*u**3 + 8/3*u - 2/9*u**4 + 16/9*u**2 = 0.
-2, 0, 3
Let v be (-16)/(-3)*((-237)/12)/1. Let g = -100 - v. Let -8/3 + 10/3*f**2 - g*f = 0. What is f?
-2/5, 2
Factor 2/5*h**2 - 68/5 + 6*h.
2*(h - 2)*(h + 17)/5
Let k(c) = c - 3. Let b be k(-11). Let f(g) = -g**3 + g**2 - 1. Let a(q) = 5*q**3 - 11*q**2 + 7. Let w(u) = b*f(u) - 2*a(u). Determine v, given that w(v) = 0.
-2, 0
Suppose 9*a + 5*a = 9*a. Let l be 2 + ((-10)/4 - -2)*a. Factor -1/5*c**l + 0*c + 0 - 1/5*c**3.
-c**2*(c + 1)/5
Let v = -2 - -4. Let z(t) = 9*t**4 - 1 - 2*t**3 + t + t - 9*t**v - 3. Let q(l) = -18*l**4 + 3*l**3 + 18*l**2 - 3*l + 7. Let h(y) = 4*q(y) + 7*z(y). Factor h(o).
-o*(o - 1)*(o + 1)*(9*o + 2)
Suppose 0 = -j + 14*j - 52. Suppose -5*w = -j*z, -z = -0*w - 4*w. Find y such that w*y**2 + 0 + 0*y**3 + 3/5*y**4 + 0*y - 3/5*y**5 = 0.
0, 1
Let o(j) be the first derivative of -j**8/3920 + 3*j**7/980 - j**6/70 + j**5/35 + j**3/3 + 5. Let h(a) be the third derivative of o(a). Factor h(l).
-3*l*(l - 2)**3/7
Let p(b) be the third derivative of 0 + 0*b + 5*b**2 + 1/3*b**4 + 1/15*b**5 + 0*b**3. Let p(z) = 0. Calculate z.
-2, 0
Let f = -15/224 + 941/672. What is n in -4*n**2 + f*n**3 + 4 - 4/3*n = 0?
-1, 1, 3
Let l(g) be the third derivative of g**7/189 + 11*g**6/540 + 7*g**5/270 + g**4/108 - 2*g**2 - 84. Factor l(a).
2*a*(a + 1)**2*(5*a + 1)/9
Suppose -358 = -69*n - 220. Factor 0 + 12/7*u**n + 4/7*u.
4*u*(3*u + 1)/7
Determine j so that -22*j**2 - 160*j + 0*j**2 + 17*j**2 - 1280 = 0.
-16
Suppose -2*i = 3*q - 5*q + 18, -i - 5*q - 27 = 0. Let x = i - -15. Factor u - 2*u**2 + x*u**2 + 0*u + 0*u**2.
u*(u + 1)
Let g(n) be the second derivative of 0 - 1/6*n**4 - 1/30*n**5 - 7/2*n**2 - 5*n + 0*n**3. Let x(s) be the first derivative of g(s). Factor x(u).
-2*u*(u + 2)
Factor m**2 - 2/3*m**3 - 4/3 - 1/3*m**4 + 4/3*m.
-(m - 1)**2*(m + 2)**2/3
Let h(u) be the first derivative of -3/5*u**5 - 9/2*u**2 - u**3 + 6*u + 15 + 9/4*u**4. Factor h(x).
-3*(x - 2)*(x - 1)**2*(x + 1)
Let a(y) = 4*y - 3. Let n be a(0). Let p(g) = -g - 1. Let u be p(n). Find z, given that -1/6*z**u - 1/6 + 1/3*z = 0.
1
Let v(t) be the third derivative of -18/5*t**5 + 0 + 0*t + 21*t**2 - 6*t**4 - 16/3*t**3 - 9/10*t**6. Suppose v(b) = 0. What is b?
-2/3
Let j(p) = 3*p**2 + 16*p - 8. Let i be j(-6). Let x = 4 + -3. Let g(d) = d**3. Let f(m) = -3*m**3 - m. Let n(k) = i*g(k) + x*f(k). Let n(s) = 0. Calculate s.
-1, 0, 1
Let w(d) be the third derivative of -d**5/12 + 65*d**4/6 + 265*d**3/6 + 572*d**2. Solve w(j) = 0.
-1, 53
Suppose 3*p - 4*u - 24 = 4, 5*u = -5. Suppose -2*n = 2*n - p. Factor 2*i**5 + 14*i**3 + 0*i**2 - 16*i**3 + 0*i**n.
2*i**3*(i - 1)*(i + 1)
Factor 1/5*w**5 - 141/5*w**3 - 48/5*w + 143/5*w**2 + 9*w**4 + 0.
w*(w - 1)**3*(w + 48)/5
Suppose -3*i + 20 = -8*i, 3*w + 4*i - 20 = 0. Suppose -2*t + 5*f + 27 = 0, 2*t - 2*f - w = -0*f. Suppose 4*q**2 + 4*q**2 + t + 2*q - 11*q**2 = 0. What is q?
-1/3, 1
Let 10922/3*f - 170/3*f**2 + 2/9*f**3 - 32258/9 = 0. Calculate f.
1, 127
Let v be (-3 + (-32)/(-10))*630/756. Find f such that v*f**3 + 288 + 6*f**2 + 72*f = 0.
-12
Let -389*g**5 + 791*g**5 - 397*g**5 + 5*g**4 = 0. What is g?
-1, 0
Find j, given that 5/3*j + 1/3*j**2 + 0 = 0.
-5, 0
Let q(y) be the first derivative of -8 + 10/3*y**3 - 3/2*y**4 + 1/3*y**6 - 2/5*y**5 - 2*y**2 + 0*y. Find p, given that q(p) = 0.
-2, 0, 1
Suppose w = -4*u + 22, u = 3*w - u + 4. Factor 3*s - 3*s**2 - 9 + w + 7.
-3*s*(s - 1)
Let j(y) be the second derivative of y**6/30 + y**5/4 + 7*y**4/12 + y**3/2 - 14*y - 2. Factor j(m).
m*(m + 1)**2*(m + 3)
Suppose -3*w - 3 = 3*k, -5 = k + 3*w - 0. Let v be 3/k*3/5. Factor -v*g + 2/5 + 12/5*g**2 - g**3.
-(g - 1)**2*(5*g - 2)/5
Suppose -915 - 489 = -351*n. Find h, given that 2/5*h**3 + 6/5*h**5 + 0 + 0*h**2 + 0*h + 8/5*h**n = 0.
-1, -1/3, 0
Let t(q) be the third derivative of 0 + 1/220*q**6 + 0*q + 1/11*q**3 + 13/330*q**5 - 7*q**2 + 13/132*q**4. Determine p, given that t(p) = 0.
-3, -1, -1/3
Let c(x) be the first derivative of x**3/9 + 19*x