e d(-9). Solve -4/3*o - m*o**2 + 0 = 0 for o.
-2/9, 0
Suppose 3*h + 0*h + 5*s + 8 = 0, 2*h + 3*s = -5. Let t be 5/(-10)*(h + 1). Factor -5*q**2 + 2*q + t*q + 3*q**2.
-2*q*(q - 1)
Let n = -7 - -11. Suppose a - 10 = -g - 2*a, 6 = -g + 5*a. Find b such that 3*b**3 - n*b**2 - 9*b**3 + 6*b**2 - 2*b**4 + g*b**5 + 2*b = 0.
-1, -1/2, 0, 1
Let o(z) be the second derivative of -5*z**4/12 + 5*z**3/3 + 15*z**2/2 + 2*z. Suppose o(f) = 0. Calculate f.
-1, 3
Let v(q) be the third derivative of q**5/90 - 7*q**4/36 + 2*q**3/3 + 19*q**2. Factor v(g).
2*(g - 6)*(g - 1)/3
Let c(h) be the second derivative of h**5/90 - h**4/18 - 4*h**3/27 - 26*h. Factor c(x).
2*x*(x - 4)*(x + 1)/9
Let r be (3 + 1)/32 + 90/560. Factor 2/7*t**3 + 0*t - r*t**5 + 0 + 2/7*t**2 - 2/7*t**4.
-2*t**2*(t - 1)*(t + 1)**2/7
Let w(a) be the first derivative of -a**4/7 - 20*a**3/21 - 12*a**2/7 - 19. Factor w(g).
-4*g*(g + 2)*(g + 3)/7
Let u(r) be the first derivative of -1/450*r**6 - 1 + 0*r**2 - 1/300*r**5 + 0*r**4 + 0*r + 2/3*r**3. Let k(z) be the third derivative of u(z). Solve k(d) = 0.
-1/2, 0
Let n be 63 - (-2 + -1) - -4. Let q be n/147 - 6/(-9). Find y such that -18/7*y**2 + 32/7*y + q = 0.
-2/9, 2
Let q(z) be the third derivative of -1/210*z**7 + 0 + 1/60*z**5 - 1/120*z**6 + 1/24*z**4 + 0*z**3 + 0*z - 3*z**2. Factor q(l).
-l*(l - 1)*(l + 1)**2
Let d(o) be the second derivative of -2*o**7/21 + 2*o**6/5 - 2*o**5/5 - 2*o**4/3 + 2*o**3 - 2*o**2 - 4*o. Factor d(f).
-4*(f - 1)**4*(f + 1)
Let x(u) be the first derivative of -1 - 1/3*u**2 - 1/9*u**3 + u. Let x(b) = 0. What is b?
-3, 1
Suppose 2*x - 2*f = -0*f - 2, -4*x - f + 1 = 0. Let k = 0 - x. Let k*t + 3*t - 2*t - t**2 = 0. Calculate t.
0, 1
Suppose 0*j + 2*j = 20. What is h in -16*h - 8 - 3*h**3 + h**3 - j*h**2 + 0*h**3 = 0?
-2, -1
Let c = -1353/80 - -93/5. Let j(a) be the first derivative of 21/20*a**5 - 1 + c*a**4 + 0*a + 1/2*a**3 + 0*a**2. Factor j(p).
3*p**2*(p + 1)*(7*p + 2)/4
Suppose 0*u + u = 0, 5*r + 2*u = 20. Factor 0*b + 0 + 3/2*b**r + 1/2*b**5 + 0*b**2 + b**3.
b**3*(b + 1)*(b + 2)/2
Let 2/13*t**3 - 4/13 + 0*t**2 - 6/13*t = 0. What is t?
-1, 2
Let s = 13/4 + -3. Let k = -11 + 15. Determine g, given that -s*g**2 - 3/4*g**k + 0 - g**3 + 0*g = 0.
-1, -1/3, 0
Let w = 129/4 + -32. Factor 0*n + 0*n**2 + 0 + 1/4*n**4 + w*n**3.
n**3*(n + 1)/4
Let t(a) be the second derivative of -3/2*a**2 + 0*a**3 - 4*a + 0*a**4 + 0 - 1/180*a**5. Let u(q) be the first derivative of t(q). Factor u(j).
-j**2/3
Let f(p) = -12*p**4 - 6*p**3 + 18*p**2 + 6*p - 20. Let n(x) = -x**4 - x**3 + x**2 + x - 1. Let g(m) = 2*f(m) - 28*n(m). Suppose g(j) = 0. What is j?
-3, -1, 1
Factor 5/2 + 25/4*w - 15/4*w**2.
-5*(w - 2)*(3*w + 1)/4
Factor 3/7*r**3 + 3/7*r**4 - 3/7*r**2 - 3/7*r**5 + 0*r + 0.
-3*r**2*(r - 1)**2*(r + 1)/7
What is u in 63*u**4 + 291*u + 80 - 43*u**4 + 36*u - 135*u**3 + 33*u + 125*u**2 = 0?
-1, -1/4, 4
Let l be (6/(-8))/(33/(-22)). Let a(s) be the first derivative of -l*s**3 + 1/8*s**4 - 1/2*s + 3/4*s**2 - 1. Find w such that a(w) = 0.
1
Let x be ((-3)/2)/((-9)/72). Let q(b) = -b**3 + 13*b**2 - 13*b + 15. Let d be q(x). Let 0 + 0*w + 1/4*w**d + 1/4*w**2 = 0. What is w?
-1, 0
Factor 2/23*g**3 - 8/23*g**2 - 2/23*g + 8/23.
2*(g - 4)*(g - 1)*(g + 1)/23
Let c = -35 - -40. Let r(x) be the third derivative of 0*x + 0 + 1/300*x**6 + 0*x**4 - x**2 + 0*x**3 + 1/150*x**c. Factor r(s).
2*s**2*(s + 1)/5
Let c(v) be the second derivative of v**6/90 - v**5/60 - v**4/36 + v**3/18 - v. Factor c(u).
u*(u - 1)**2*(u + 1)/3
Let j(d) = -28*d**3 - 40*d**2. Let z(a) = 9*a**3 + 13*a**2. Let r(x) = 5*j(x) + 16*z(x). Factor r(v).
4*v**2*(v + 2)
Let q(k) = k**2. Let b(d) = -20*d**2 - 15*d. Let y(j) = -b(j) - 15*q(j). What is m in y(m) = 0?
-3, 0
Let p(h) be the second derivative of 5*h**7/42 - 4*h**6/3 + 25*h**5/4 - 95*h**4/6 + 70*h**3/3 - 20*h**2 - 4*h. Factor p(f).
5*(f - 2)**3*(f - 1)**2
Suppose -20 = -2*h - 3*h. Suppose v**2 + h*v - 2*v**3 + v**4 - 2*v - 2*v**4 = 0. Calculate v.
-2, -1, 0, 1
Let y(d) be the first derivative of 7*d**5/30 + 4*d**4/3 + 4*d**3/3 - 3*d**2/2 - 3. Let q(l) be the second derivative of y(l). Suppose q(p) = 0. Calculate p.
-2, -2/7
Factor 4/7*k**2 + 2/7*k + 0 + 2/7*k**3.
2*k*(k + 1)**2/7
Let o(c) be the third derivative of -3/40*c**5 + 1/240*c**6 - 4/3*c**3 + 0*c - 2*c**2 + 0 + 1/2*c**4. Factor o(g).
(g - 4)**2*(g - 1)/2
Suppose z + 7 = -4*h, 0 = -4*z + 3*z - 3*h - 5. Suppose -27*j - 6 = -30*j. Suppose -3*s**2 - 2*s + j*s**2 + s**3 + 0*s + s + z = 0. What is s?
-1, 1
Let n(l) be the first derivative of 2*l**5/35 + 3*l**4/14 - 8*l**3/21 + 24. Suppose n(q) = 0. What is q?
-4, 0, 1
What is z in -6/11*z + 4/11*z**2 + 0 = 0?
0, 3/2
Let s(o) be the second derivative of 3*o**8/560 - o**7/280 + 5*o**3/6 + 5*o. Let c(i) be the second derivative of s(i). Factor c(r).
3*r**3*(3*r - 1)
Factor -12*p - 6*p**2 + 0 - 3/4*p**3.
-3*p*(p + 4)**2/4
Suppose -3 + z - 85*z**2 - 85*z**2 - z**3 + 173*z**2 = 0. What is z?
-1, 1, 3
Factor -1/3*k**3 + 0 + 0*k**2 + 0*k + 0*k**4 + 1/3*k**5.
k**3*(k - 1)*(k + 1)/3
Let r(h) be the second derivative of 1/180*h**6 - 4*h + 0 - 1/60*h**5 + 0*h**4 - 1/12*h**2 + 1/18*h**3. Suppose r(l) = 0. Calculate l.
-1, 1
Let a(s) be the third derivative of -s**7/490 - s**6/70 - s**5/35 + 9*s**2. Factor a(l).
-3*l**2*(l + 2)**2/7
Let z(p) be the second derivative of -1/10*p**5 + 3*p - 1/3*p**3 - 1/3*p**4 + 0 + 0*p**2. Solve z(r) = 0.
-1, 0
Let a(g) be the first derivative of -g**6/11 - 2*g**5/55 + 5*g**4/22 + 2*g**3/33 - 2*g**2/11 - 26. Determine l so that a(l) = 0.
-1, 0, 2/3, 1
Let z = 5 - 3. Let 0*j + 5*j**4 - 3*j - 2*j**4 + 3*j**3 - 2*j**2 - j**z = 0. Calculate j.
-1, 0, 1
Let r(i) be the first derivative of i**4/18 - 14*i**3/27 + 8*i**2/9 + 32*i/9 - 8. Factor r(v).
2*(v - 4)**2*(v + 1)/9
Let f(y) = -3*y**2 - 9*y - 6. Let n(z) = -z. Let x(l) = -2*f(l) - 4*n(l). What is d in x(d) = 0?
-3, -2/3
Suppose -2*l - r - 2 = -1, -4*l - 3 = 3*r. Suppose l = -3*y + 4*s + 6 + 10, 3*s = -12. Factor y*d - 1/3*d**2 + 1/3*d**4 + 0 - 1/3*d**3 + 1/3*d**5.
d**2*(d - 1)*(d + 1)**2/3
Let h be (-2)/(-10) - (42/(-5))/3. Solve -6/7*f**h - 6/7*f**2 + 0 - 2/7*f**4 - 2/7*f = 0 for f.
-1, 0
Factor 0 + 1/6*z**2 + 0*z.
z**2/6
Let v(b) be the first derivative of -b**4/12 - b**3/9 + b**2/3 + 15. What is o in v(o) = 0?
-2, 0, 1
Let d(r) = -r**3 - 6*r**2 - 4*r + 5. Let u be d(-5). Let x(n) be the first derivative of 0*n - 1/2*n**2 + 1/4*n**4 + 3 + u*n**3. Solve x(p) = 0.
-1, 0, 1
Let j(a) = -3*a - 9. Let l be j(-5). Suppose -s + l = 2*s. Factor -6*p + 3*p**s + 4 - 1/2*p**3.
-(p - 2)**3/2
Let w(m) be the first derivative of m**3/3 + m**2/2 - 2*m - 8. Factor w(r).
(r - 1)*(r + 2)
Let y(k) = -k**3 + k**2 + 2*k. Let f(s) = s**2 + s. Let x = 4 - 10. Let w(b) = x*f(b) + 3*y(b). Find t, given that w(t) = 0.
-1, 0
Let p(c) be the first derivative of 2*c**3/15 - 3*c**2/5 + 10. Factor p(v).
2*v*(v - 3)/5
Let y(c) be the second derivative of -c**6/90 + c**5/15 - 5*c**4/36 + c**3/9 - 6*c. Factor y(x).
-x*(x - 2)*(x - 1)**2/3
Let x(d) be the second derivative of d**7/420 + d**6/120 + d**5/120 + d**2 + d. Let f(u) be the first derivative of x(u). Find h, given that f(h) = 0.
-1, 0
Suppose 3*f = 2*o - 16, -14 = 4*f + 2. Suppose -o*y + 3*y = 0. Factor y*t**4 - 3*t**5 - 3*t + 2*t**2 + 2*t - 2*t**4 + 4*t**5.
t*(t - 1)**3*(t + 1)
Suppose 0*k = 3*k - 5*m - 34, -3*m - 6 = 0. Find s such that 4*s**3 + 18*s**2 - k - 6*s**4 - 4*s**3 + 4*s**3 = 0.
-1, 2/3, 2
Let b(w) = -10*w**3 + 31*w**2 + 50*w - 71. Let g(f) = 2*f**3 - 6*f**2 - 10*f + 14. Let h(o) = -2*b(o) - 11*g(o). Solve h(x) = 0.
-2, 1, 3
Let k(a) be the second derivative of -a**5/30 + a**4/6 - 2*a**3/9 + 7*a. Let k(v) = 0. What is v?
0, 1, 2
Let u(j) be the first derivative of 4*j**5/5 - j**4 - 32*j**3/3 + 24*j**2 + 20. Factor u(k).
4*k*(k - 2)**2*(k + 3)
Let j be 8/(-9)*(-1)/4. What is x in 0 - 8/3*x**2 + 10*x**3 + j*x - 100/9*x**4 = 0?
0, 1/5, 1/2
Let o = 29 - 29. Let -2/5*l + o + 0*l**4 - 2/5*l**5 + 4/5*l**3 + 0*l**2 = 0. What is l?
-1, 0, 1
Let g = -100 + 104. Let c(x) be the first derivative of -4*x**2 + 2 - 5/2*x**g - 10*x**5 + 0*x + 32/3*x**3. Let c(i) = 0. Calculate i.
-1, 0, 2/5
Let x be -1*(-12)/(-9)*3. Let h(n) = -n - 2. Let c be h(x). Suppose -3*a**2 - 3*a**2 + 2*a**2 + 2*a + c*a**3 = 0. What is a?
0, 1
Let 3/5*o**3 + 3/5*o**5 + 0 + 0*o