r s(g).
-2*g**4*(g - 2)/21
Let b be (-2)/4 + (-10)/(-12). Let o(h) = h**3 + 2*h**2 - 8*h + 3. Let q be o(-4). Factor 0 + 1/3*v**2 + 0*v - b*v**q.
-v**2*(v - 1)/3
Let o be (321/(-535))/(18/(-100)). Find h, given that -1/3*h**5 - o*h**3 + 10/3*h**2 + 5/3*h**4 + 1/3 - 5/3*h = 0.
1
Let a(v) be the first derivative of 2*v**5/5 + v**4 - 14*v**3/3 - 20*v**2 - 24*v - 232. Solve a(l) = 0 for l.
-2, -1, 3
Let w(u) = 32*u**3 + 8*u**2 - 21*u + 3. Suppose 0 = -5*f + 17 + 3. Let a(l) = -11*l**3 - 3*l**2 + 7*l - 1. Let v(b) = f*w(b) + 11*a(b). Factor v(i).
(i - 1)*(i + 1)*(7*i - 1)
Let 85 - 5*t**2 - 32*t + 77*t + 35*t = 0. What is t?
-1, 17
Let m be ((3 - 4) + 0)/((-4)/(-8)). Let t(c) = -c**3 + 11*c**2 - 4*c - 2. Let h(b) = -6*b**3 + 78*b**2 - 27*b - 15. Let r(x) = m*h(x) + 15*t(x). Factor r(v).
-3*v*(v - 2)*(v - 1)
Factor 32*b - 225 - 6*b - 19*b - b**2 + 23*b.
-(b - 15)**2
Let w(d) be the third derivative of d**8/336 - d**7/84 - d**6/72 + d**5/12 - 13*d**3/6 - 8*d**2. Let t(z) be the first derivative of w(z). Factor t(r).
5*r*(r - 2)*(r - 1)*(r + 1)
Suppose -2*p = -5*a + 8, -a - a - 8 = 2*p. Suppose 4/7*s + a + 2*s**4 + 6/7*s**2 - 24/7*s**3 = 0. What is s?
-2/7, 0, 1
Let t(c) = c**3 - 56*c**2 - 59*c + 114. Let m be t(57). Determine k, given that m - 2/5*k**3 - 6/5*k - 8/5*k**2 = 0.
-3, -1, 0
Let l(y) be the first derivative of 4*y**4/5 - 20*y**3/3 - 124*y**2/5 - 132*y/5 - 501. Factor l(g).
4*(g + 1)**2*(4*g - 33)/5
Factor 2/13*l**3 + 30/13 + 46/13*l + 18/13*l**2.
2*(l + 1)*(l + 3)*(l + 5)/13
Let n = 1244 + -1244. Factor -4/9*z + 10/9*z**2 - 8/9*z**3 + 2/9*z**4 + n.
2*z*(z - 2)*(z - 1)**2/9
Suppose 5 = 4*g - 3*j, -3*g - j = 4 - 11. Let i(w) be the second derivative of w + 0 + 1/70*w**5 + 27/7*w**g + 9/7*w**3 + 3/14*w**4. Factor i(k).
2*(k + 3)**3/7
Let w(p) be the first derivative of -p**5/20 + p**4/4 + p**3/6 - 3*p**2/2 - 2*p + 3. Let g(u) be the first derivative of w(u). Factor g(f).
-(f - 3)*(f - 1)*(f + 1)
Let y(i) be the third derivative of -i**9/756 - i**8/140 - i**7/70 - i**6/90 - 5*i**3/2 - 15*i**2. Let c(s) be the first derivative of y(s). Factor c(j).
-4*j**2*(j + 1)**3
Let r(g) be the second derivative of 17*g + 0*g**2 + 0 - 1/15*g**3 + 1/30*g**4. Factor r(u).
2*u*(u - 1)/5
Suppose -3*v - 36 = -33. Let u be ((-15)/6 - v)/((-9)/12). Suppose 1 + 1/4*t**u + t = 0. Calculate t.
-2
Let f(b) be the second derivative of 7/48*b**4 + 1/20*b**5 - 1/8*b**2 + 0 + 1/12*b**3 - 9*b. Factor f(c).
(c + 1)**2*(4*c - 1)/4
Suppose -18*t = -13*t - 20. Solve t - 4*d**4 - 16*d + 8 - 7 + 16*d**3 - 12*d**2 + 11 = 0 for d.
-1, 1, 2
Let m(u) be the first derivative of u**5/5 + 25*u**4/12 - 16*u**3/3 + 10*u**2/3 + 377. What is x in m(x) = 0?
-10, 0, 2/3, 1
Let d(u) be the first derivative of 2*u**3/7 + 1020*u**2/7 + 173400*u/7 - 633. Determine v, given that d(v) = 0.
-170
Let r(w) be the first derivative of -w**5/3 - 125*w**4/24 - 5*w**3 + 23*w**2/2 - 16. Let b(j) be the second derivative of r(j). Factor b(z).
-5*(z + 6)*(4*z + 1)
Let g(r) be the second derivative of -r**5/10 - 39*r**4/10 + 74*r**3/15 + 48*r**2/5 + 116*r. Solve g(w) = 0.
-24, -2/5, 1
Let f(y) be the second derivative of y**5/4 - 5*y**4/12 - 10*y**3/3 + 10*y**2 + 11*y + 9. Factor f(r).
5*(r - 2)*(r - 1)*(r + 2)
Let a = 411 + -408. Let l(x) be the first derivative of -6*x**4 - 2 + 1/2*x + 5/4*x**2 - 4/3*x**a. Determine j so that l(j) = 0.
-1/4, 1/3
Let k = 173922 + -7304345/42. Let s = -49/6 + k. Let -8/7*r + 2/7*r**2 + s = 0. Calculate r.
1, 3
Let i = -2 + 4. Factor -5 + 4*g + 0*g**i + 2*g**2 - 1.
2*(g - 1)*(g + 3)
Let f be ((-56)/21)/4 + 56/12. Let j(r) be the first derivative of 2 + 1/16*r**f - 1/2*r + 5/8*r**2 - 1/3*r**3. Suppose j(n) = 0. What is n?
1, 2
Factor -6*a**2 + 2*a**4 + 10*a**2 - 5 + a**3 - 1 - 8*a + 7*a**3.
2*(a - 1)*(a + 1)**2*(a + 3)
Suppose -4*q + 5*q = 4. Suppose q*n = i - 6 - 6, 2*n = -2*i + 24. What is m in 3*m**3 + 2 + m**3 - 5*m + i*m**2 - 10*m**2 - 4*m**4 + m**5 = 0?
-1, 1, 2
Let o(s) be the first derivative of -5*s**6/6 - 5*s**5 - 25*s**4/4 + 25*s**3/3 + 15*s**2 + 90. Find h, given that o(h) = 0.
-3, -2, -1, 0, 1
Suppose -3026*d + 3030*d = 12. Factor 4/3*t**2 + 0*t + 0 - 2/3*t**d.
-2*t**2*(t - 2)/3
Let o(m) be the second derivative of -m**6/375 - 6*m**5/125 + 131*m. Factor o(j).
-2*j**3*(j + 12)/25
Suppose -23*c + 19*c + 24 = 0. Suppose -c*h = -11*h + 10. Factor -2*a**h + 6*a**2 - a - 3*a**2.
a*(a - 1)
Let v = 42551/9 - 4727. Suppose 2/3 + 2/9*r**2 - v*r = 0. What is r?
1, 3
Suppose 2*q + 5*v + 2 = 0, -2*q + v = 3*q + 32. Let d be 3/q*(1 + -17). Let d*j**3 - 3*j**5 - 26*j**3 + 24*j**4 + 3*j - 7*j**5 + j**5 = 0. What is j?
-1/3, 0, 1
Let o(b) be the first derivative of b**6/12 + b**5/2 + 3*b**4/8 - 3*b**3/2 + 294. Factor o(z).
z**2*(z - 1)*(z + 3)**2/2
Find p such that 10/3*p + 0 + 3*p**2 - 1/3*p**3 = 0.
-1, 0, 10
Let j(d) be the second derivative of -1/30*d**6 - 1/5*d**5 + 2/3*d**3 + 0 + 3/2*d**2 + 32*d - 1/6*d**4. Factor j(w).
-(w - 1)*(w + 1)**2*(w + 3)
Let c(w) be the first derivative of -8/21*w**3 + 2/7*w**2 - 1/7*w**4 + 6/7*w + 2/35*w**5 - 39. Suppose c(l) = 0. What is l?
-1, 1, 3
Let d be -9*(40/(-12) + (1 - -2)). Determine p, given that -2 + 48*p - 8*p**d + 30*p**2 + 10 + 2 = 0.
-1, -1/4, 5
Let a be -8 + 1 + 4 - -5. Solve -32 + 92 + 191*x**2 + 414*x**a - 40 + 220*x = 0.
-2/11
Let h(a) be the third derivative of a**7/385 - 7*a**6/33 - 169*a**5/165 - 61*a**4/33 - 49*a**3/33 + 791*a**2. Solve h(f) = 0.
-1, -1/3, 49
Let v(g) be the first derivative of -3*g**2 + 0*g + 1/2*g**4 + 4/3*g**3 + 25. Let v(l) = 0. Calculate l.
-3, 0, 1
Let v be (-22)/(-2) + (-64)/24*4. Find s such that -1/3*s**3 - 5/3*s**2 + v*s**4 - s + 0 = 0.
-1, 0, 3
Let z(s) = -3*s**2 - 156*s - 1605. Let w(x) = x + 1. Let q(v) = 18*w(v) + z(v). Determine h so that q(h) = 0.
-23
Let g(n) be the third derivative of 0*n**3 + 0*n**4 + 22*n**2 + 0*n - 1/210*n**7 + 0*n**6 + 0 + 0*n**5. Factor g(m).
-m**4
Let r(v) be the second derivative of -1/7*v**3 - 3 + 3/28*v**4 - 3/140*v**5 - 2*v + 0*v**2. Factor r(u).
-3*u*(u - 2)*(u - 1)/7
Let m = -9 - -9. Suppose -g + 4 = -m*g. Factor -15*u**3 - 3 + 21*u**g - 13*u**2 - 14*u**2 + 9 + 15*u.
3*(u - 1)**2*(u + 1)*(7*u + 2)
Let y(c) be the first derivative of -c**4/16 + c**3/2 + 7*c**2/8 - 48. Factor y(w).
-w*(w - 7)*(w + 1)/4
Let w(t) be the first derivative of 0*t + 12 + 0*t**2 + 1/22*t**4 + 0*t**3. Determine s so that w(s) = 0.
0
Determine y so that 19/4*y**2 - 10*y**3 - 7/4*y**4 - 3 + 10*y = 0.
-6, -1, 2/7, 1
Let v(z) be the first derivative of 2*z**3/3 + 2*z**2 - 6*z - 3. Factor v(q).
2*(q - 1)*(q + 3)
Suppose 263*h = 508*h. Factor 1/3*w**2 + 3*w + h.
w*(w + 9)/3
Let t be (1 + 0)*(1040/(-50))/(-13). Suppose -22/5*b - 6/5*b**2 + t = 0. Calculate b.
-4, 1/3
Suppose -10*w**4 - 44*w**3 + 12 + 36*w + 20*w**2 - 24*w**4 + 2*w**4 + 8*w = 0. Calculate w.
-1, -3/8, 1
Let i(v) be the first derivative of -v**6/9 + 56*v**5/15 - 221*v**4/6 + 676*v**3/9 - 353. Factor i(h).
-2*h**2*(h - 13)**2*(h - 2)/3
Let q(r) = -2*r**2 + 42*r + 14. Let t be q(20). Determine d so that 6*d**2 - 16*d**4 - 8*d**3 - 6*d**2 - 44*d**5 + t*d**5 = 0.
-2/5, 0, 2
Let b be 336/(-3192) + (-136)/(-570). Factor b*r + 4/5 - 2/15*r**2.
-2*(r - 3)*(r + 2)/15
Let c(n) be the second derivative of n**4/16 - 5*n**3 + 150*n**2 - 8*n. Factor c(o).
3*(o - 20)**2/4
Let u = -1 + 6. Solve -4*a + a + u*a**3 - 6 - 2*a**3 - 9*a**4 + 8*a**2 + 7*a**2 = 0.
-1, -2/3, 1
Let v(o) = 4*o - 3*o + 0*o + 13*o**3 - 2*o. Let m be v(1). Find t such that 21*t**2 + 4*t**3 - 15*t**2 - 2*t**4 + 4 - m - 8*t = 0.
-1, 2
Let u(q) be the third derivative of q**5/90 + 17*q**4/36 + 16*q**3/9 - 111*q**2. Factor u(w).
2*(w + 1)*(w + 16)/3
Let v be (78/(-12) - -5)/(1/(-2)). Factor 3/8*l - 1/8*l**v + 0*l**2 - 1/4.
-(l - 1)**2*(l + 2)/8
Let d(t) be the first derivative of 0*t**2 + 0*t**3 + 0*t - 2/5*t**5 - 10 - 1/2*t**4. Factor d(q).
-2*q**3*(q + 1)
Let h(b) = -8*b**5 + 6*b**4 - 11*b**3 + 15*b**2 - 2*b. Let y(u) = u**5 + u**3 - 3*u**2 + u. Let i(w) = 4*h(w) + 28*y(w). Determine l so that i(l) = 0.
-1, 0, 1, 5
Let i(r) be the first derivative of -12/5*r + 4/5*r**2 + 4/15*r**3 + 16. Find x such that i(x) = 0.
-3, 1
Let v(p) be the first derivative of -16/5*p**5 - 32/3*p**3 + 5 + 0*p - 15*p**4 + 6*p**2. Let v(x) = 0. Calculate x.
-3, -1, 0, 1/4
Suppose 24*r = 30*r - 21*r