/4 - 2*r**3 + 192. Factor g(t).
-t**2*(t + 1)*(t + 2)*(t + 3)
Let i(y) be the first derivative of -y**8/2940 + y**6/210 + y**5/105 - 23*y**3/3 - 23. Let c(u) be the third derivative of i(u). Factor c(b).
-4*b*(b - 2)*(b + 1)**2/7
Suppose 81*i = 96*i. Let q(v) be the third derivative of -1/9*v**3 - 1/30*v**5 + i*v + 0 - 1/12*v**4 - 1/180*v**6 + 8*v**2. Determine y, given that q(y) = 0.
-1
Let u = -1/1976 - -989/1976. Suppose 0*d + u*d**2 + 0 + 1/2*d**3 = 0. What is d?
-1, 0
Factor -423986*o**2 + 11 + 4*o + 423984*o**2 + 5.
-2*(o - 4)*(o + 2)
Let f(d) be the third derivative of d**9/1008 + d**8/140 + d**7/56 + d**6/60 + d**3/6 + 8*d**2. Let t(v) be the first derivative of f(v). Factor t(z).
3*z**2*(z + 1)**2*(z + 2)
Let 0 - 12*s - 2/5*s**5 - 154/5*s**2 - 38/5*s**4 - 26*s**3 = 0. Calculate s.
-15, -2, -1, 0
Let v(l) = 24*l**3 + 3*l**2 + 18*l + 15. Let x(k) = -k**3 - k**2 - k - 1. Let j(a) = -v(a) - 15*x(a). Factor j(p).
-3*p*(p - 1)*(3*p - 1)
Let y(q) = 5*q**3 - 7*q**2 - q + 7. Let k(h) = -6*h**3 + 6*h**2 - 6. Let b(i) = i + 6. Let j be b(-8). Let n(s) = j*k(s) - 3*y(s). Factor n(m).
-3*(m - 3)*(m - 1)*(m + 1)
Let o(i) be the second derivative of i**7/3360 - i**6/192 - 3*i**5/80 - i**4/4 - 18*i. Let d(c) be the third derivative of o(c). Factor d(j).
3*(j - 6)*(j + 1)/4
Find i, given that 8/19*i**3 + 0*i + 0 - 8/19*i**2 + 2/19*i**4 - 2/19*i**5 = 0.
-2, 0, 1, 2
Let x(w) be the third derivative of -5*w**7/1512 + w**6/648 + 2*w**5/135 + w**4/54 + w**3 + 10*w**2. Let n(t) be the first derivative of x(t). Factor n(f).
-(f - 1)*(5*f + 2)**2/9
Let z(n) be the third derivative of -n**8/3864 + 2*n**7/2415 + 11*n**6/1380 - 2*n**5/115 - 3*n**4/23 - 62*n**2 + n. Solve z(b) = 0 for b.
-2, 0, 3
Determine a, given that -a - 106129*a**4 - 4*a**5 - 28*a**3 + a + 106097*a**4 = 0.
-7, -1, 0
Factor 5/6*s**2 + 1/6*s**3 + 4/3*s + 2/3.
(s + 1)*(s + 2)**2/6
Let v = 113/1440 - -70739/41760. Let d = v + -5/29. Factor 0*n**3 - 4/5*n + 4/5*n**5 - d*n**2 + 8/5*n**4 + 0.
4*n*(n - 1)*(n + 1)**3/5
Let f = 631/7860 - -2/655. Let w(k) be the third derivative of 1/10*k**5 + 1/15*k**6 - 5*k**2 + 0*k - f*k**4 + 0*k**3 + 0. Determine i, given that w(i) = 0.
-1, 0, 1/4
What is o in 0*o + 2/5*o**4 + 2/5*o**3 + 0 + 0*o**2 = 0?
-1, 0
Factor 5/4*n - 3/2 - 1/4*n**2.
-(n - 3)*(n - 2)/4
Let o(b) = b**3 + 10*b**2 + 6*b - 76. Let v be o(-8). Let 0 - 15/4*d**3 - d**v + 3/4*d - 2*d**2 = 0. Calculate d.
-3, -1, 0, 1/4
Let r be 3 - (-2 - 3) - (1 - 1). Suppose 8*s**3 - 2*s**5 - 56 + 110 - r*s**2 - 54 + 2*s**4 = 0. What is s?
-2, 0, 1, 2
Let p(j) be the second derivative of 1/45*j**6 - 1/3*j**3 + 0 + 16*j + 1/18*j**4 + 1/10*j**5 - 2/3*j**2. Determine q so that p(q) = 0.
-2, -1, 1
Let m(r) be the first derivative of 24*r + 18*r**2 + 3/4*r**4 + 6*r**3 + 9. Factor m(g).
3*(g + 2)**3
Let q(o) = 3*o**2 + 7*o - 2. Let h(a) = -387 + a**2 + 382 + 4*a**2 + 14*a. Let l(j) = 4*h(j) - 7*q(j). Find d, given that l(d) = 0.
1, 6
Let q(v) be the third derivative of -6*v**7/35 + 11*v**6/10 - 8*v**5/3 + 8*v**4/3 + 36*v**2 + 1. Factor q(r).
-4*r*(r - 1)*(3*r - 4)**2
Let h(g) be the third derivative of g**9/3024 - g**7/252 + g**5/24 - 7*g**4/8 - 24*g**2. Let r(l) be the second derivative of h(l). Factor r(i).
5*(i - 1)**2*(i + 1)**2
Let s(z) be the second derivative of z**4/48 + 4*z**3/3 - 33*z**2/8 + 591*z. Factor s(v).
(v - 1)*(v + 33)/4
Factor 2/15*b**2 + 1568/15 - 112/15*b.
2*(b - 28)**2/15
Let i = 3553/12 + -1099/4. What is h in 16/3*h + i + 1/3*h**2 = 0?
-8
Let a = 32 + -28. Factor 3*t + 0*t**4 - 5*t - t**4 + a*t**2 - t**2.
-t*(t - 1)**2*(t + 2)
Let z(y) = -54*y - 107. Let b be z(-2). Factor -b + 2/3*t + 1/3*t**2.
(t - 1)*(t + 3)/3
Suppose -2 = 3*t - 5. Let z = t + 1. Factor 5*m**4 + 8*m**3 - 8 - 12*m + 4*m + 6*m**z - 3*m**4.
2*(m - 1)*(m + 1)*(m + 2)**2
Let z(u) be the third derivative of -u**6/60 + u**5/30 + 5*u**4/12 + u**3 + 156*u**2. Factor z(g).
-2*(g - 3)*(g + 1)**2
Let m(q) be the second derivative of q**5/150 + q**4/15 + q**3/5 + 12*q**2 - 28*q. Let j(o) be the first derivative of m(o). Let j(i) = 0. What is i?
-3, -1
Suppose 40 = 5*i - 2*c, 18 = -3*c + 3. Suppose 0 = -2*n - 0*n + i. Factor 0 - 2/5*v**5 - 2/5*v + 4/5*v**n + 0*v**2 + 0*v**4.
-2*v*(v - 1)**2*(v + 1)**2/5
Solve -5/2*p**2 + 65*p - 125/2 = 0.
1, 25
Let f = 2225 + -1201. Factor 128*p - 11*p**2 + 30*p**2 - 8*p**2 - 15*p**2 - f.
-4*(p - 16)**2
Let c(o) be the first derivative of 2/13*o**3 + 32 + 2/13*o**2 + 0*o + 1/26*o**4. Factor c(x).
2*x*(x + 1)*(x + 2)/13
Suppose -87*p**4 - 9*p**5 + 8*p**2 - 261*p**3 - 46945*p - 281*p**2 + 46855*p = 0. What is p?
-5, -3, -1, -2/3, 0
Solve -1/3*y**4 + 207/2*y - 1/6*y**5 - 63*y**2 + 14*y**3 - 54 = 0 for y.
-12, 1, 3
Let s(z) be the third derivative of 0 + 1/105*z**5 + 0*z**4 - 2/735*z**7 + 0*z**3 + 22*z**2 + 0*z**6 + 0*z. Factor s(l).
-4*l**2*(l - 1)*(l + 1)/7
Let b = 32 - 28. Suppose -b*t = -0*t - 16. Determine q so that 7*q**t + 16*q**3 - 16*q - 3*q**2 - 32 + 28 + 0*q = 0.
-2, -1, -2/7, 1
Let t(a) be the second derivative of a**4/4 + 16*a**3 + 384*a**2 - 67*a. Let t(b) = 0. What is b?
-16
Let n(c) be the first derivative of 6/7*c - 9/7*c**3 + 3/5*c**5 - 15/28*c**4 - 10 + 15/14*c**2. Find g such that n(g) = 0.
-1, -2/7, 1
Let o(f) = -f**3 - 21*f**2 - 20*f + 3. Let i be o(-20). Let x be 4 + 0 - (-2 + 1). Solve p**3 - 23*p**2 - 36 - x*p**i + 11*p**2 - 16*p**2 - 60*p = 0.
-3, -1
Let j(k) be the third derivative of k**9/257040 + k**8/171360 - k**7/42840 + k**5/10 - 16*k**2. Let q(c) be the third derivative of j(c). Factor q(i).
2*i*(i + 1)*(2*i - 1)/17
Let i = 2348 - 2348. Factor -3/2*h**2 + h + i.
-h*(3*h - 2)/2
Let t be (19 - 26 - 357/(-49)) + 0/2. Factor -6/7*o**2 - 4/7*o - t*o**3 + 0.
-2*o*(o + 1)*(o + 2)/7
Let q(f) = f**2 + 1. Let l = -55 + 53. Let g(u) = u**3 - 11*u**2 - 7. Let t(w) = l*g(w) - 14*q(w). Determine n so that t(n) = 0.
0, 4
Factor -31/2*l - 1/4*l**3 + 33/4*l**2 + 0.
-l*(l - 31)*(l - 2)/4
Let m be (9 - 8)/(3/6). Let r(b) be the second derivative of 0 + 1/24*b**4 - b**m + 6*b + 0*b**3. Factor r(g).
(g - 2)*(g + 2)/2
Suppose 1/3*v**4 + 7/3*v**2 - v + 0 - 5/3*v**3 = 0. What is v?
0, 1, 3
Let z(v) be the first derivative of -3*v**4/32 + 3*v**3/4 - 27*v**2/16 + 3*v/2 - 46. Solve z(n) = 0.
1, 4
Let y = -291/5 - -175/3. Let u(q) be the second derivative of -4*q - 2*q**4 + 0 + 8/3*q**3 - q**5 - y*q**6 + 16*q**2. Solve u(w) = 0 for w.
-2, 1
Let z(k) be the first derivative of -k**6/66 + k**5/55 + k**4/22 - 215. Find d such that z(d) = 0.
-1, 0, 2
Find a, given that -28262*a**3 - 6*a**4 + 14129*a**3 + 14125*a**3 + 2*a**5 = 0.
-1, 0, 4
Let n(q) be the second derivative of -5/4*q**4 + 0*q**2 - 1/4*q**5 + 0*q**3 + 12*q + 0. Find k, given that n(k) = 0.
-3, 0
Factor -1/2*x**3 + 7*x - 5/2*x**2 + 0.
-x*(x - 2)*(x + 7)/2
Let z be 12/40 + (-341)/1320. Let x(f) be the third derivative of 0*f - z*f**4 + 0 + 0*f**5 - 4*f**2 + 0*f**3 + 1/120*f**6. Factor x(b).
b*(b - 1)*(b + 1)
Let p(z) be the second derivative of z**4/4 + 27*z**3/2 - 42*z**2 + 173*z. Factor p(a).
3*(a - 1)*(a + 28)
Let c = -35458 - -247628/7. Let y = c + 83. Let 0*b + 0*b**2 + y*b**3 + 6/7*b**4 + 0 + 3/7*b**5 = 0. What is b?
-1, 0
Let x(i) = -4*i**2 - 5. Let g(j) = -7*j - 4*j + 12*j - 11*j**2 - 14. Let m = -11 + 19. Let n(y) = m*x(y) - 3*g(y). Let n(h) = 0. Calculate h.
1, 2
Suppose -27/5*y + 6/5 - 33/5*y**2 = 0. Calculate y.
-1, 2/11
What is w in -4*w**2 - 10*w + 2*w**2 + 3*w + w = 0?
-3, 0
Let m = 2279 + -20509/9. Factor -m + 2/9*j**2 + 0*j.
2*(j - 1)*(j + 1)/9
Let x = 1026 + -1021. Suppose 2/3*n**2 - 14/3*n**3 - 6*n**x + 0 + 0*n + 10*n**4 = 0. What is n?
0, 1/3, 1
Let o be 21/12 + 72/(-32) + (-15)/(-6). Solve 11/6*r - r**o + 1/6*r**3 - 1 = 0.
1, 2, 3
Let g(w) = 3*w**5 - 101*w**3 + 133*w**2 - 5*w. Let k(r) = 8*r**5 - 252*r**3 + 332*r**2 - 12*r. Let i(j) = -12*g(j) + 5*k(j). Factor i(v).
4*v**2*(v - 2)**2*(v + 4)
Let z(c) = 2*c + 67. Let i be z(0). Let m = -63 + i. Factor 2*x + 3*x**2 + 1/2*x**m + 2*x**3 + 1/2.
(x + 1)**4/2
Let b(z) be the first derivative of -3*z**4/4 - 46*z**3 - 720*z**2 + 3456*z + 73. Find l, given that b(l) = 0.
-24, 2
Let v(u) be the first derivative of -2 + 2*u - 10/3*u**2 - 1/9*u**4 - 4/3*u**3. Let d(i) be the first derivative of v(i). Factor d(m).
-4*(m + 1)*(m + 5)/3
Let u(y) be the second derivative of y**5/180 + 13*y