. Factor q(g).
-(g - 2)*(g + 3)**2/7
Determine u, given that 1/4*u**2 + 1/4*u**3 - 1/4*u**5 - 1/4*u**4 + 0 + 0*u = 0.
-1, 0, 1
Let o be 30/(-150) - 356/(-5). Let j = -71 + o. Find w such that w**2 + 1/3*w**4 + w**3 + 1/3*w + j = 0.
-1, 0
Let n(r) be the second derivative of -r**6/90 - r**5/30 + r**4/18 - r**2 + 9*r. Let u(v) be the first derivative of n(v). Factor u(j).
-2*j*(j + 2)*(2*j - 1)/3
Let c be (-2)/(-14) - 156/(-84). Let b(i) be the third derivative of 0*i + 11/8*i**4 + 7/8*i**5 - 6*i**c + i**3 + 5/32*i**6 + 0. Factor b(a).
3*(a + 2)*(5*a + 2)**2/4
Let y(n) = n**3 - 8*n**2 - 9*n + 10. Let t be y(9). Suppose 9*g = t*g - 4. Find r, given that r + g*r - 2*r**3 + 2*r**2 - 3*r - 8 + 6*r = 0.
-2, 1, 2
Let u(p) be the second derivative of 5*p**4/12 + 815*p**3/3 + 132845*p**2/2 - 6*p + 40. Find w, given that u(w) = 0.
-163
Suppose 18*q - 15*q - 6 = 0. Suppose p = -0*f - 5*f + 6, q*f + 8 = -3*p. Solve -2/5*g**f - 4/5*g - 2/5 = 0 for g.
-1
Let z(s) be the third derivative of 0 + 1/4*s**5 + 5/18*s**3 + 5/12*s**4 + 2*s**2 + 0*s. Solve z(y) = 0 for y.
-1/3
Let y(h) be the first derivative of 2*h**6/21 - 8*h**5/35 + 8*h**3/21 - 2*h**2/7 - 35. Factor y(x).
4*x*(x - 1)**3*(x + 1)/7
Let v be 4 - (-5)/((-10)/(-22)). Let b(i) = i**3 - 4*i**2 - 6*i + 5. Let s be b(5). Factor -6*w**2 + 2 + s*w**2 - 15*w**3 + v*w + 4.
-3*(w - 1)*(w + 1)*(5*w + 2)
Suppose 3*g + 4*g = g. Let x(k) be the third derivative of -4/9*k**3 - 27/10*k**5 + 3/2*k**4 + 0 + g*k + 3*k**2 + 81/40*k**6. Suppose x(l) = 0. What is l?
2/9
Suppose -23*i**3 - 42*i**3 + 5*i**5 + 236120*i**4 - 236180*i**4 = 0. What is i?
-1, 0, 13
Suppose 23*h + 14 = 37*h. Let y(w) be the first derivative of 2/45*w**3 + 2/5*w + h - 4/15*w**2. Determine r, given that y(r) = 0.
1, 3
Let k(r) = -r**3 + 2*r**2 - r. Let f(l) = 5*l**3 - 23*l**2 + 20*l + 24. Let o(q) = f(q) + 6*k(q). Factor o(i).
-(i - 2)*(i + 1)*(i + 12)
Factor 2*t**3 - 2 + 21/2*t - 21/2*t**2.
(t - 4)*(t - 1)*(4*t - 1)/2
Let n(v) be the second derivative of v**7/126 + 11*v**6/45 + 41*v**5/60 + 5*v**4/9 - 74*v - 2. Factor n(g).
g**2*(g + 1)**2*(g + 20)/3
Let s(z) be the second derivative of -z**4/6 - 5*z**3/3 + 24*z**2 + 131*z. Solve s(q) = 0.
-8, 3
Let z(u) be the third derivative of 17*u**7/126 + 103*u**6/72 + 35*u**5/6 + 185*u**4/18 + 20*u**3/9 - 185*u**2. Let z(r) = 0. What is r?
-2, -1/17
Let k(v) be the first derivative of -2*v**5/5 - 17*v**4/42 + 116*v**3/63 + 4*v**2/21 - 16*v/7 - 157. What is i in k(i) = 0?
-2, -2/3, 6/7, 1
Let a = -379 + 384. Let w(z) be the second derivative of -1/40*z**6 - z + 0*z**a + 0 + 3/56*z**7 + 0*z**4 + 0*z**2 + 0*z**3. Factor w(f).
3*f**4*(3*f - 1)/4
Let m(r) be the third derivative of r**7/280 - r**5/40 - 3*r**3/2 + r**2. Let o(l) be the first derivative of m(l). Let o(b) = 0. Calculate b.
-1, 0, 1
Let b(x) be the third derivative of 3*x**6/80 + x**5/5 + 7*x**4/16 + x**3/2 - 12*x**2 - 7. Find d such that b(d) = 0.
-1, -2/3
Let j be 1/5*5*(2 + 0). Factor -4*u**3 + 4*u**4 - u**j + 4*u + 0*u**4 - 3*u**4.
u*(u - 4)*(u - 1)*(u + 1)
Let f(r) be the first derivative of r**3/6 - 25*r**2 + 1250*r - 210. Find g, given that f(g) = 0.
50
Let f(o) = 0*o - 94*o**5 - 20*o**4 - 1 - 27*o**2 + 9*o + 97*o**5 + 36*o**3. Let q(r) = r**5 - r**2 - r + 1. Let u(p) = -f(p) - q(p). Factor u(n).
-4*n*(n - 2)*(n - 1)**3
Let l(k) = 6*k**2 - 23*k + 12. Let i(t) = 34*t + 8 - 26 + 0*t**2 - 6*t**2 - 3*t**2. Let b(g) = 5*i(g) + 7*l(g). What is d in b(d) = 0?
1, 2
Let c be 9 - (1 - 0 - 11/(-11)). Let l(u) = 16*u**3 - u**2 - 14*u + 13. Let f(t) = 5*t**3 - 5*t + 4. Let s(o) = c*f(o) - 2*l(o). What is p in s(p) = 0?
-2, 1/3, 1
Suppose 0 = -4*p + 2*i + 10, -5*i - 705 + 680 = 2*p. Factor 3/8*v**3 + 0*v**2 - 3/8*v**4 + 0*v + p.
-3*v**3*(v - 1)/8
Let t(p) = p**5 + p**4 + p**3 - p**2 + 1. Let g(d) = 5*d**5 + 77*d**4 + 560*d**3 + 484*d**2 - 6561*d - 6559. Let q(a) = -g(a) + 2*t(a). Factor q(o).
-3*(o - 3)*(o + 1)*(o + 9)**3
Let o(y) be the second derivative of -2 + 1/3*y**3 - 1/60*y**4 + 0*y**2 - y. Let o(c) = 0. Calculate c.
0, 10
Let f(c) be the first derivative of 0*c + c**2 - 1/2*c**4 + 13 + 0*c**3. Let f(h) = 0. What is h?
-1, 0, 1
Let i(n) be the first derivative of 2*n**4/3 + 6*n**3 - 10*n**2 + 23*n + 15. Let p(q) be the first derivative of i(q). Factor p(w).
4*(w + 5)*(2*w - 1)
Suppose -1221 - f**2 - 54431 - 37543 + 25074 + 522*f = 0. Calculate f.
261
Let w(v) be the third derivative of -8*v**2 + 0 + 0*v + 1/90*v**5 + 1/18*v**4 + 1/9*v**3. What is a in w(a) = 0?
-1
Let v(z) be the third derivative of -z**6/90 - z**5/30 + z**4/3 + 5*z**3/3 + 6*z**2. Let w(i) be the first derivative of v(i). Let w(h) = 0. What is h?
-2, 1
Let z(f) = f**3 + 3*f**2 - 3*f + 9. Let a be (-65)/15 + 1 - 2/3. Let d be z(a). Factor 0*g**2 - 3/2*g**3 + 0 + 3/4*g**d + 0*g**4 + 3/4*g.
3*g*(g - 1)**2*(g + 1)**2/4
Let j(r) be the second derivative of -r**5/20 + r**4/4 + r**2 + 10*r. Let s be j(3). Solve 14/5*i - 2*i**s - 4/5 = 0 for i.
2/5, 1
Suppose -14*b = 2*a - 16*b - 4, -4*b = -12. Determine m, given that -6/7*m**4 + 3/7*m**3 + 6/7*m**2 - 3/7*m**a + 0*m + 0 = 0.
-2, -1, 0, 1
Let s(h) be the first derivative of -90*h**5/11 - 240*h**4/11 - 52*h**3/3 - 32*h**2/11 - 2*h/11 + 524. Find p, given that s(p) = 0.
-1, -1/15
Let s(z) be the first derivative of z**4/12 + 4*z**3/3 + 8*z**2 - 9*z - 9. Let o(g) be the first derivative of s(g). Factor o(f).
(f + 4)**2
Let b(k) be the first derivative of 2*k**3/3 + 22*k**2 - 46*k + 47. Determine t, given that b(t) = 0.
-23, 1
Let g(n) be the third derivative of -n**5/90 - 5*n**4/6 - 558*n**2. Factor g(b).
-2*b*(b + 30)/3
Let a(k) be the second derivative of 0 - 1/10*k**6 + 1/4*k**4 - 3/20*k**5 + 0*k**3 - 6*k + 1/14*k**7 + 0*k**2. Let a(x) = 0. What is x?
-1, 0, 1
Let z(b) be the first derivative of -b**5/15 - 11*b**4/12 - 26*b**3/9 - 8*b**2/3 + 425. Factor z(o).
-o*(o + 1)*(o + 2)*(o + 8)/3
Let g = 7 - 5. Suppose -2*k + 0*k = g*k. Factor 2/7*c - 2/7*c**2 + k.
-2*c*(c - 1)/7
Let j(h) = h. Let y(l) = l**4 - l**3 - l**2 - 4*l. Suppose 10*x + 12 = 2. Let q(i) = x*y(i) - 5*j(i). Factor q(c).
-c*(c - 1)**2*(c + 1)
Let m(i) be the first derivative of -4*i**3 - 1/2*i**6 + 3/2*i**4 - 3/2*i**2 - 13 + 6*i + 6/5*i**5. Find r such that m(r) = 0.
-1, 1, 2
Solve 520*h - 9465*h**4 - 32 + 7586*h**3 + 1041*h**5 - 1875*h**2 + 1886*h**4 + 1500*h**5 - 1324*h**2 + 163*h**2 = 0 for h.
2/11, 2/7, 1, 4/3
Let i = -43 - 53. Let c be i/72 - (0 - 2). Let -1/3*v**5 + 1/3*v - c*v**4 + 2/3*v**2 + 0*v**3 + 0 = 0. Calculate v.
-1, 0, 1
Factor -992*w**3 - 1424 - 81672*w**2 - w**4 - 2204480*w + 2288572 - 3*w**4.
-4*(w - 1)*(w + 83)**3
Let r(z) be the first derivative of z**3/3 - 2*z**2 + 4*z + 162. Factor r(w).
(w - 2)**2
Let t(o) = -12*o**3 + 4*o**2 + 6*o - 50. Let p(z) = -z**3 + z**2 + z - 5. Let x(b) = -10*p(b) + t(b). Suppose x(g) = 0. What is g?
-2, -1, 0
Let -1/8*k**4 + 0 - 9/8*k - 3/8*k**2 + 5/8*k**3 = 0. Calculate k.
-1, 0, 3
Let v(p) be the first derivative of -p**3/4 + 51*p**2/4 - 1. Solve v(w) = 0.
0, 34
Let r(b) be the first derivative of -b**6/600 + b**5/200 + 13*b**3/3 - 13. Let v(t) be the third derivative of r(t). Find f, given that v(f) = 0.
0, 1
Find i such that -19*i**2 + 33*i**2 + 3*i**3 - 4*i**3 + 10 + 10*i**4 - 2*i - 2*i**5 + 5*i**3 - 34*i**2 = 0.
-1, 1, 5
Let n(u) be the second derivative of -2*u**6/15 - u**5/5 + 11*u**4/3 + 6*u**3 - 36*u**2 - 212*u. Find s such that n(s) = 0.
-3, -2, 1, 3
Let u(m) be the third derivative of 5*m**8/336 + m**7/14 - 5*m**6/24 - 5*m**5/4 + 5*m**4/6 + 10*m**3 + 145*m**2. Suppose u(i) = 0. What is i?
-3, -2, -1, 1, 2
Let l(h) = -103*h**4 + 455*h**3 + 210*h**2 - 5*h. Let c(x) = x**5 - 102*x**4 + 456*x**3 + 208*x**2 - 4*x. Let s(p) = -5*c(p) + 4*l(p). Factor s(b).
-b**2*(b - 10)**2*(5*b + 2)
Let o(h) = -3*h**3 - 112*h**2 + 243*h - 123. Let n(u) = 4*u**3 + 168*u**2 - 364*u + 184. Let c(z) = -5*n(z) - 8*o(z). Factor c(w).
4*(w - 1)**2*(w + 16)
Let s be (0/((-4)/(-8)*-2))/1. Let w(c) be the third derivative of -3/2*c**5 - 7/24*c**6 - 25/6*c**4 + s*c - 20/3*c**3 - 13*c**2 + 0 - 1/42*c**7. Factor w(i).
-5*(i + 1)*(i + 2)**3
Let h(z) = -4500*z**4 + 15390*z**3 - 6115*z**2 + 795*z - 45. Let y(j) = -409*j**4 + 1399*j**3 - 556*j**2 + 72*j - 4. Let w(x) = 4*h(x) - 45*y(x). Factor w(n).
5*n*(n - 3)*(9*n - 2)**2
Let r(p) = 39*p + 3. Let s 