*g + 1/2*g**2 + 0.
g*(g - 2)*(g - 1)**2*(g + 1)/6
Let r be 34 - 1/((-3)/(-9)). What is z in -25*z - r*z + 8 - 20*z + 132*z**2 + 8*z**2 = 0?
1/7, 2/5
Let q(u) be the second derivative of u**8/23520 - u**7/8820 - 2*u**4/3 - 14*u. Let j(n) be the third derivative of q(n). Determine o, given that j(o) = 0.
0, 1
Let i(m) be the second derivative of m**6/1080 + m**5/72 - 10*m**3/3 + 6*m. Let o(b) be the second derivative of i(b). Factor o(k).
k*(k + 5)/3
Let y = 87543/2 - 43771. Factor -3/2 - 7/4*l - y*l**2.
-(l + 2)*(2*l + 3)/4
Let l = -33091/60 - -2778/5. What is n in -l - 1/12*n**2 + 7/6*n = 0?
7
Suppose 3*v = 8*v + v. Suppose 3*n - 5*n + 6 = v. Factor -3/5*d**2 + 3/5*d**4 + 0*d + 0*d**n + 0.
3*d**2*(d - 1)*(d + 1)/5
Let h(d) = 16*d**5 - 31*d**4 + 39*d**3 - 36*d**2 + 19*d + 3. Let m(x) = -2*x**5 + x**4 + x**3 - x - 1. Let o(q) = 2*h(q) + 10*m(q). Factor o(c).
4*(c - 1)**4*(3*c - 1)
Let k(y) be the first derivative of 0*y - y**4 - 21 + 0*y**2 - 1/24*y**6 - y**3 - 7/20*y**5. Factor k(j).
-j**2*(j + 2)**2*(j + 3)/4
Let t = -620 + 629. Let o(k) be the first derivative of k + 1/2*k**3 + 5/4*k**2 + t. Factor o(c).
(c + 1)*(3*c + 2)/2
Let t be (-13 + 14)/(1/37). Factor 118 - 56 - t + h**2 - 3*h - 7*h.
(h - 5)**2
What is i in -3/8*i**3 + 3/8*i - 3/8 - 3/4*i**4 + 9/8*i**2 = 0?
-1, 1/2, 1
Let n(u) be the first derivative of -38 + 3/4*u**2 + 1/8*u**6 - 1/4*u**3 - 9/16*u**4 + 0*u + 3/20*u**5. Solve n(j) = 0.
-2, -1, 0, 1
Let c(i) be the second derivative of 0 - 3/2*i**2 + 1/60*i**6 - 1/30*i**5 + 1/3*i**3 + 2*i - 1/12*i**4. Let q(b) be the first derivative of c(b). Factor q(h).
2*(h - 1)**2*(h + 1)
Let p(u) be the first derivative of -u**6/1080 - 2*u**5/45 - 8*u**4/9 + 16*u**3/3 - 9. Let h(l) be the third derivative of p(l). What is j in h(j) = 0?
-8
Let v(y) = -2*y**3 - 10*y**3 + 2*y**2 + 9*y**3. Let x(r) = 2*r**3 - r**2. Let z(w) = -3*v(w) - 5*x(w). Solve z(g) = 0.
-1, 0
Let i = -199/8 - -25. Let v(r) be the second derivative of 1/3*r**3 - 1/60*r**6 + i*r**4 - r**2 + 4*r + 0 - 1/20*r**5. Suppose v(m) = 0. What is m?
-2, 1
Let z(r) = -15*r - 187. Let o be z(-13). Let h(i) be the second derivative of 1/114*i**4 + 0 + 1/57*i**3 - 2/19*i**2 - o*i. Suppose h(g) = 0. Calculate g.
-2, 1
Let v(y) be the third derivative of -y**7/1575 + y**5/45 - y**3/5 - 104*y**2 + 2. Let v(l) = 0. What is l?
-3, -1, 1, 3
Let z be (-1)/4 - (-1)/4. Solve w**3 + z*w + 2*w + w**2 - 4*w - 2*w**2 = 0.
-1, 0, 2
Let z(h) be the first derivative of -h**6/420 + h**5/84 + h**4/42 - 10*h**3/3 - 9. Let g(s) be the third derivative of z(s). Determine p, given that g(p) = 0.
-1/3, 2
Let s(l) = 3*l**2 + 17*l + 24. Let z be s(-2). Let w(y) be the third derivative of 0*y + y**3 - 4*y**z - 1/3*y**4 + 0 + 1/30*y**5. Solve w(g) = 0.
1, 3
Factor 1095*p - 57386 - 87*p - 3*p**2 - 27286.
-3*(p - 168)**2
Suppose 751 = o - 32. Let t = -5463/7 + o. What is d in 4/7 - t*d**2 - 2*d = 0?
-1, 2/9
Suppose -u - 22*u = 0. Let s(l) be the first derivative of 0*l**2 + u*l - 4/3*l**3 + 3/2*l**4 - 2/5*l**5 + 1. Find j such that s(j) = 0.
0, 1, 2
Factor -33/4 - 3/4*q + 33/4*q**2 + 3/4*q**3.
3*(q - 1)*(q + 1)*(q + 11)/4
Let z(y) be the third derivative of y**6/540 - 4*y**5/15 + 455*y**4/36 - 2450*y**3/27 + 8*y**2 + 6. Suppose z(i) = 0. What is i?
2, 35
Let t(g) be the second derivative of 1/20*g**5 - g - 1/2*g**2 + 0 - 1/4*g**4 + 1/2*g**3. Find d such that t(d) = 0.
1
Let l be (3*2/12)/(6/24). Find b such that 5*b + l*b**4 + 3*b**4 - 35*b**3 - 50*b + 75*b**2 = 0.
0, 1, 3
Let u(h) be the first derivative of -h**4/2 + 35. Determine j, given that u(j) = 0.
0
Let n(k) be the second derivative of -5*k**7/14 + 2*k**6/3 + 13*k**5/4 + 5*k**4/2 + 75*k. Suppose n(f) = 0. What is f?
-1, -2/3, 0, 3
Let t(h) be the third derivative of -h**5/60 + h**4/8 - h**3/3 - 71*h**2 + 2. Determine f so that t(f) = 0.
1, 2
Let r(f) be the third derivative of 4/3*f**3 + 0*f - 5*f**2 + 1/30*f**5 - 1/3*f**4 + 0. Factor r(p).
2*(p - 2)**2
Let f(h) be the first derivative of -1/450*h**5 + 0*h**4 + 0*h - h**2 - 2 + 1/45*h**3. Let z(i) be the second derivative of f(i). Factor z(q).
-2*(q - 1)*(q + 1)/15
Suppose 22*p = -x + 17*p + 119, -3*p = -4*x + 591. Factor -625 - 5*f**3 + 134*f - x*f - 230*f - 75*f**2 - 135*f.
-5*(f + 5)**3
Let i(y) = 2*y + 66. Let z be i(-32). Let j(s) be the first derivative of -2 - 25/4*s**6 - 21*s**5 + 0*s - 207/8*s**4 - 14*s**3 - 3*s**z. Solve j(u) = 0.
-1, -2/5, 0
Let z(w) be the second derivative of w**8/2240 - w**7/420 + w**6/240 - 37*w**4/12 - 45*w. Let l(u) be the third derivative of z(u). What is k in l(k) = 0?
0, 1
Let u(r) be the third derivative of r**5/15 + 7*r**4 - 176*r**3/3 + 5*r**2 - 8. Suppose u(v) = 0. What is v?
-44, 2
Let g = 228/413 - -18/59. Factor -16/21*n - g*n**2 + 0 - 2/21*n**3.
-2*n*(n + 1)*(n + 8)/21
Let j be (-2)/(-6) - (860/(-12) + -4). Factor -3*u - 4*u**4 - 70*u**3 + u + j*u**3.
-2*u*(u - 1)**2*(2*u + 1)
Find d, given that 24*d - 108 - 4/3*d**2 = 0.
9
Let b(g) be the third derivative of -g**8/23520 + g**7/2520 - g**6/1260 - g**5/4 - 32*g**2. Let z(x) be the third derivative of b(x). Factor z(y).
-2*(y - 2)*(3*y - 1)/7
Let o(m) be the second derivative of m**6/660 + m**5/165 - m**4/132 - 2*m**3/33 - 19*m**2/2 - 24*m. Let n(h) be the first derivative of o(h). Solve n(v) = 0.
-2, -1, 1
Let z(x) be the third derivative of -x**6/180 - 11*x**5/90 + 14*x**4/9 - 20*x**3/3 - 74*x**2 + x. Factor z(s).
-2*(s - 2)**2*(s + 15)/3
Let h = 2310 - 34646/15. Determine i, given that h + 2/15*i**2 - 2/5*i = 0.
1, 2
Let w(i) = -i**3 - 5*i**2 - 23*i + 26. Let g(n) = -2*n**3 - n + 2. Let l(c) = -3*g(c) + w(c). Find b such that l(b) = 0.
-2, 1, 2
Let c(q) be the second derivative of -12*q + 1/4*q**4 + 0 - 17/14*q**3 + 9/7*q**2. Factor c(g).
3*(g - 2)*(7*g - 3)/7
Let j(k) = k + 16. Let f be j(7). Factor 0*m**4 + 8*m**3 - 6*m**2 - f*m**3 - 4*m**2 - 5*m**4.
-5*m**2*(m + 1)*(m + 2)
Factor -a**2 - 18*a - 2*a**2 + 147 - 286 + 112.
-3*(a + 3)**2
Factor 16/7 - 2/7*z**2 + 4/7*z.
-2*(z - 4)*(z + 2)/7
Let v(g) be the first derivative of -1600*g**3 - 120*g**2 - 3*g + 838. Factor v(c).
-3*(40*c + 1)**2
Factor 4*v**2 + 9*v**2 - 30*v**2 - 117*v + 14*v**2.
-3*v*(v + 39)
Let d(q) = q**3 - 8*q**2 + 12*q + 2. Let a be d(6). Suppose -12 - 21*f**a + 33*f**4 + 42*f - 69/2*f**3 - 15/2*f**5 = 0. Calculate f.
-1, 2/5, 1, 2
Suppose -4*z - 26 = 7*j - 9*j, 13 = -4*j - 5*z. Let l(n) be the first derivative of -1/3*n**3 - j + 0*n - n**2. Factor l(q).
-q*(q + 2)
Let p(g) = g**3 + 6*g**2 - 29. Let a be p(-4). Factor 3/5*o**4 + 3/5 + 0*o + 0*o**a - 6/5*o**2.
3*(o - 1)**2*(o + 1)**2/5
Suppose -15*j = -11*j - 48. Let c be 4/(-28)*(-14)/j*8. Factor 8*t - 16*t**2 - 4*t**4 - c + 40/3*t**3.
-4*(t - 1)**3*(3*t - 1)/3
Let g(c) be the second derivative of c**4/4 + 3*c**3 - 21*c**2/2 + 20*c - 1. Factor g(z).
3*(z - 1)*(z + 7)
Suppose 5*z - 15 = 0, 15*z - 2 = 5*m + 11*z. Let k(n) be the second derivative of -12*n + 1/21*n**3 + 0*n**m + 0 + 1/42*n**4. Find y such that k(y) = 0.
-1, 0
Let p(g) be the first derivative of -4*g**5 + 66*g**4 - 5476*g**3/15 + 3696*g**2/5 - 3136*g/5 - 6. Solve p(q) = 0.
1, 28/5
Let y(h) = 10*h**3 + 1600*h**2 + 64084*h. Let s(l) = -2*l**3 - 320*l**2 - 12818*l. Let n(a) = -28*s(a) - 6*y(a). Find v such that n(v) = 0.
-80, 0
Let h(r) be the first derivative of 4*r**5/105 - r**4/14 - 38*r**3/63 - 2*r**2/7 + 16*r/21 + 173. Determine n, given that h(n) = 0.
-2, -1, 1/2, 4
Let g be (-7 - -5)*(1122/(-44))/17. Factor -243/2*d**g - 6561/4*d - 1/4*d**5 + 0 - 9*d**4 - 729*d**2.
-d*(d + 9)**4/4
Let f(h) = -70*h**2 + 242*h - 498. Let x(d) = 8*d**2 - 27*d + 55. Let g(a) = 6*f(a) + 52*x(a). Solve g(m) = 0.
4, 8
Let i(h) be the second derivative of h**7/105 + h**6/60 - h**5/15 + 7*h**2/2 - 9*h. Let p(s) be the first derivative of i(s). Factor p(r).
2*r**2*(r - 1)*(r + 2)
Let n(k) = -6*k**2 - 48*k - 146. Let g(x) = -31*x**2 - 240*x - 731. Let d(t) = -2*g(t) + 11*n(t). Factor d(h).
-4*(h + 6)**2
Let j(d) be the second derivative of d**4/36 + 7*d**3/18 - 4*d**2/3 - 29*d. Let j(u) = 0. Calculate u.
-8, 1
Let t be (-18)/(-15) + ((1632/(-30))/(-8) - 8). Factor 1/4*v + t - 11/8*v**3 - 5/8*v**2 - 1/2*v**4.
-v*(v + 1)*(v + 2)*(4*v - 1)/8
Let l = 25944 + -285372/11. Factor l*i + 16/11 + 2/11*i**2.
2*(i + 2)*(i + 4)/11
Factor -104/17*g - 2/17*g**2 + 0.
-2*g*(g +