2*g**5/5 - g**4/3 - g**3 + 2*g**2 - 71*g. Suppose u(m) = 0. Calculate m.
-2, -1, 1
Solve 83 + 3*n**2 - 113 - n + 28*n = 0 for n.
-10, 1
Suppose 10*d + 0 - 25/2*d**2 + 5/2*d**3 = 0. What is d?
0, 1, 4
Let r(b) be the second derivative of b**5/30 - 4*b**3/9 - 14*b. Factor r(q).
2*q*(q - 2)*(q + 2)/3
Solve 9/4*s**3 + 47/2*s + 61/4*s**2 - 6 = 0.
-4, -3, 2/9
Let u(d) be the first derivative of -3*d**4/28 - 2*d**3/7 + 15*d**2/14 + 18*d/7 + 92. Let u(v) = 0. What is v?
-3, -1, 2
Let g(y) be the third derivative of 0 - 1/12*y**3 - 2*y**2 + 1/480*y**6 + 0*y - 1/60*y**5 + 5/96*y**4. Factor g(o).
(o - 2)*(o - 1)**2/4
Solve -24*h**2 - 8*h + 18*h**3 - 3*h - h - 3*h + 24*h**4 + 6*h - 9*h**5 = 0 for h.
-1, -1/3, 0, 1, 3
Let o = 113 - 92. What is q in 24*q + 49 + 4*q**2 + 8 - o = 0?
-3
Suppose -2*z + 2 = -4. Suppose 3*r - 6*r = -12, -4 = z*u - r. Factor 2/9*q**2 - 4/9*q + 2/9*q**3 + u.
2*q*(q - 1)*(q + 2)/9
Let a = 130/7 + -1019/56. Let u(d) be the first derivative of -d**3 + 0*d + d**2 + a*d**4 + 6 - 1/20*d**5. What is o in u(o) = 0?
0, 2
Suppose 11*f - 1/4*f**4 + 5/2*f**3 - 5 - 33/4*f**2 = 0. What is f?
1, 2, 5
Suppose -51*n - 11*n + 186 = 0. Let h(g) be the third derivative of 0*g + 2*g**4 + 0 - 1/15*g**6 - 3/5*g**5 - 8/3*g**n - g**2 + 2/35*g**7. Solve h(s) = 0.
-2, 2/3, 1
Let o be (-212)/(-14) - (7 + 240/(-35)). Let k be (2*o/(-175))/(3/(-10)). Find c, given that -6/7*c**2 - k - 2*c = 0.
-2, -1/3
Let p(d) = -d**2 - 10*d + 13. Let c be p(-11). Solve 2*s**5 + 2*s**3 - 8*s + 13*s**2 + c*s**3 - s**2 + 2*s**5 - 12*s**4 = 0.
-1, 0, 1, 2
Suppose -3/5*c**3 + 192/5*c + 0 + 189/5*c**2 = 0. Calculate c.
-1, 0, 64
Suppose 0 = 3*g - 3*r + 5*r + 2, 0 = -g - 3*r - 10. Let z be (4 + -1)*g/3. Factor z + 2*q**2 - 1 + 1 - 4*q.
2*(q - 1)**2
Let r = 12 + -9. Factor 5*g**4 - 5*g**5 + 46*g + 4*g**3 - 5*g**r + 16*g**3 - 25*g**2 - 36*g.
-5*g*(g - 1)**3*(g + 2)
Let i be (1 + (-6)/4)/(1485/(-3564)). Let u = 0 - 0. Factor 2/5*p**2 + 6/5*p**4 + i*p**3 + 2/5*p**5 + 0 + u*p.
2*p**2*(p + 1)**3/5
Let f(w) be the first derivative of -3*w**2/2 - 10*w - 5. Let i be f(-4). Factor -2/5*z**i + 6/5*z - 4/5.
-2*(z - 2)*(z - 1)/5
Let n(j) = -15*j**4 - 12*j**3 + 9*j**2 + 18*j + 18. Let u(x) = -x**4 - x**3 + x**2 + x + 1. Let b(m) = -n(m) + 18*u(m). Factor b(g).
-3*g**2*(g - 1)*(g + 3)
Suppose 1671*z = 1658*z + 52. Suppose -8/3*b + z - 20/3*b**2 = 0. What is b?
-1, 3/5
Let b(l) be the third derivative of l**5/15 + 145*l**4/24 + 6*l**3 - 2*l**2 - 7. Factor b(f).
(f + 36)*(4*f + 1)
Suppose f + 4*f = -5*l + 110, 2*l = 10. Determine v so that -19*v + 4*v**3 + 6*v + f*v - 8*v**2 = 0.
0, 1
Let x be 1 + (-4 - (1 + 1)). Let a(u) = 3*u**3 + 2*u**2 - 3*u. Let j(o) = -5*o**3 - 5*o**2 + 5*o. Let v(k) = x*a(k) - 2*j(k). Solve v(y) = 0 for y.
-1, 0, 1
Let o = 2343 - 492029/210. Let m(z) be the second derivative of -1/50*z**6 + 3*z + 1/30*z**4 - 1/10*z**3 + 1/50*z**5 + 1/10*z**2 + o*z**7 + 0. Factor m(l).
(l - 1)**4*(l + 1)/5
Let b(t) be the first derivative of 2*t**3/3 - 19*t**2/4 - 5*t/2 - 100. Suppose b(i) = 0. Calculate i.
-1/4, 5
Suppose 257 = 16*s + 209. Let u(f) be the third derivative of 0*f - 2/7*f**s + 0 + 1/14*f**4 - 1/140*f**5 + f**2. Let u(l) = 0. What is l?
2
Let f(j) = j**3 + 42*j**2 + 125*j + 314. Let l be f(-39). Factor 1/3*b**l + 0*b + 0 - 1/9*b**3.
-b**2*(b - 3)/9
Let j(z) be the second derivative of -z**4/28 - z**3/7 + 12*z**2/7 + 18*z. Solve j(x) = 0.
-4, 2
Let m(c) be the first derivative of 2*c**2 + 22*c - 13. Let h be m(-5). Let -2/5*s + 2/5*s**h - 4/5 = 0. What is s?
-1, 2
Let k(d) = 93*d - 3. Let h be k(1). Let n be ((-3)/(h/4))/(5 + -6). Suppose 4/15 - 4/15*w**2 + 2/15*w**3 - n*w = 0. Calculate w.
-1, 1, 2
Let s = 15 + -10. Suppose 4*c = 3*c + s. Solve -2*u**4 + c*u**2 - 3*u**4 - 12*u**5 - u**4 + u**4 + 14*u**3 - 2*u = 0.
-1, -2/3, 0, 1/4, 1
Let n(y) = 2*y**3 - 9*y**2 + 5*y + 4. Let k be n(4). Suppose 6*p = 2*p + 2*f + k, -20 = -4*p - 4*f. Let -1/3*l + 0 + 1/6*l**2 + 1/6*l**p = 0. What is l?
-2, 0, 1
Let y(a) = a**3 - 8*a**2 - 253*a + 1592. Let t be y(6). Factor -48/11*u**4 - 18/11 + 114/11*u**3 - 134/11*u**t + 78/11*u + 8/11*u**5.
2*(u - 1)**3*(2*u - 3)**2/11
Let j(f) = -4*f**4 - 17*f**3 - 29*f**2 - 8*f + 3. Let x be 2/(-4) + (205/10)/1. Let r(a) = -a**2 + a + 1. Let d(o) = x*r(o) - 4*j(o). Let d(n) = 0. Calculate n.
-2, -1, -1/4
Suppose 5*f + 70 = 215. Let p = -26 + f. Find j, given that 1/4 - 1/4*j**4 + 0*j**2 + 1/2*j - 1/2*j**p = 0.
-1, 1
Let m(b) be the first derivative of b**3 - 27*b**2 - 57*b + 37. Factor m(q).
3*(q - 19)*(q + 1)
Let z = -12051/5 - -36173/15. Factor 4/3*j**2 + 0*j - z.
4*(j - 1)*(j + 1)/3
Let x(o) be the second derivative of -66*o**3 + o - 121/4*o**4 + 0 - 54*o**2. Let x(y) = 0. Calculate y.
-6/11
Find v such that 0 - 10/7*v**4 - 72/7*v - 122/7*v**3 - 384/7*v**2 = 0.
-6, -1/5, 0
Let 0 + 0*j - 1152/19*j**3 - 2/19*j**5 + 0*j**2 + 96/19*j**4 = 0. What is j?
0, 24
Let q(r) be the first derivative of -r**3 + 3/5*r**5 - 13 - 3/4*r**4 + 0*r**2 + 0*r + 1/2*r**6. Factor q(c).
3*c**2*(c - 1)*(c + 1)**2
Suppose 30/7*k**2 + 36/7 + 69/7*k - 3/7*k**3 = 0. Calculate k.
-1, 12
Let v be 16 + -13 + 5/1. Determine n, given that 55*n**3 - 24*n**3 + 2*n + 8*n**2 - v*n - 25*n**3 - 8 = 0.
-4/3, -1, 1
Let c(j) be the first derivative of -4*j**4/9 + 28*j**3/27 + 4*j**2/9 - 86. Factor c(t).
-4*t*(t - 2)*(4*t + 1)/9
Let g be 7/5 - (-10)/(-25). Let y be -6*((-5)/225)/g. Factor -y*p**2 + 0 + 2/5*p**3 + 0*p.
2*p**2*(3*p - 1)/15
Let u(h) be the second derivative of -5/12*h**4 + 0 - 4*h - 125/2*h**2 + 25/3*h**3. Let u(n) = 0. What is n?
5
Suppose 0*b - 7*b + 840 = 0. Determine p, given that -140*p - 5*p**3 - 5*p**2 + 38*p**2 + 17*p**2 + b = 0.
2, 6
Let o(g) be the second derivative of 0 + 1/80*g**5 + 32*g + 1/48*g**4 + 0*g**2 - 1/12*g**3. Factor o(x).
x*(x - 1)*(x + 2)/4
Let j(m) = 2*m**2 + 10*m. Suppose 0 = 4*f + 5*c + 41, 0 = 2*f - 2*c - 9 + 7. Let r(i) = -i**2 + 0*i - 3*i + 2*i. Let l(o) = f*r(o) - j(o). Factor l(k).
2*k*(k - 3)
Let t(q) be the second derivative of q**7/105 - q**6/150 - 3*q**5/10 - 16*q**4/15 - 26*q**3/15 - 3*q**2/2 + 7*q + 8. Let t(x) = 0. What is x?
-3/2, -1, 5
Suppose 0 = -11*n - 7*n + 36. Let p(k) = -k**2 - k. Let j(a) = a**2 + 10*a + 9. Let g(d) = n*p(d) - j(d). Find o such that g(o) = 0.
-3, -1
Let y = -47 + 117. Let f = y - 65. Factor 4/9*l**2 - 2/9 + 2/9*l + 2/9*l**f - 4/9*l**3 - 2/9*l**4.
2*(l - 1)**3*(l + 1)**2/9
Let y = -10 - -11. Let o be (-4)/y*3/(-4). Factor j - j**3 + o + j**2 + j - 3.
-j*(j - 2)*(j + 1)
Find o, given that -15*o**2 + 65/3*o - 200/3*o**3 - 10/3 - 80/3*o**4 = 0.
-2, -1, 1/4
Let i(l) = l**2 + 4*l - 5. Let v be i(-6). Suppose -6*q + 41 + v = 0. Let -4*n**5 + 2*n**3 - 2*n**3 + q*n**4 - 4*n**3 = 0. What is n?
0, 1
Factor -133*s + 390*s - 16*s**2 + 68*s**2 + 49*s**3 + 576 + 127*s - 47*s**3.
2*(s + 2)*(s + 12)**2
Let u(d) = d**3 - 2*d**2 + 2. Suppose 0 = -y - 3*y + 12. Let m be u(y). Factor m*q + 4*q - 10 - 12*q**2 + 3*q**3 + 4.
3*(q - 2)*(q - 1)**2
Let j(q) be the second derivative of -q**4/12 - 18*q**3 - 1458*q**2 - 314*q. Suppose j(i) = 0. What is i?
-54
Factor 10 - c**2 + 4 + 15*c + 4 - 2.
-(c - 16)*(c + 1)
Let h(m) be the first derivative of 5*m**6/6 + 8*m**5 + 15*m**4 - 10*m**3/3 - 65*m**2/2 - 30*m - 1. Let h(r) = 0. What is r?
-6, -1, 1
Suppose 2*m + 3*q - 23 = -2*m, 2*q = 5*m. Let d(a) be the first derivative of 2 + 0*a + 1/2*a**m - 5/9*a**3. Factor d(f).
-f*(5*f - 3)/3
Determine j, given that 64*j**2 + 394*j + 2 - 30*j**3 + 2 - 432*j = 0.
2/15, 1
Factor 0 + 4/3*v - 1/9*v**3 + 11/9*v**2.
-v*(v - 12)*(v + 1)/9
Let r = 19361/80 + -242. Let n(w) be the second derivative of 0*w**2 - 1/60*w**6 - r*w**5 + 0*w**4 + 0*w**3 + 0 - 1/168*w**7 - w. Let n(y) = 0. Calculate y.
-1, 0
Let n(k) = 33*k**2 - 23*k**2 + 24*k**2 + 31*k + 5 + 14*k**3. Let c(v) = -195*v**3 - 475*v**2 - 435*v - 70. Let y(h) = 6*c(h) + 85*n(h). Factor y(d).
5*(d + 1)*(2*d + 1)**2
Let m(c) = -12*c**2 - 492*c. Let o be m(-41). Factor -4/3 - 1/3*l**3 + l**2 + o*l.
-(l - 2)**2*(l + 1)/3
Suppose -q - 465 = -4*q. Let t = -153 + q. Let 6*x + 2 - 3/2*x**3 - 1/2*x**t = 0. What is x?
-2, -1/3, 2
Let i(j) be the third derivative of -j**6/150 - 4*j**5/25 - 3*j**4/2 - 20*j**3/3 - 3*j**2 + 19*j. Solve i(r) = 0.
-5, -2
Let j(i) = 5*i**2 - 168*i - 60. Let s(g) = 5*g**2 - 168*g - 58. Let u(t) = 5*