= -3*h**4 - 3*h**3 + 10*h**2 + 4*h. Let b(n) = d(n) + 4*o(n). Factor b(a).
-3*a**2*(a - 1)*(a + 2)
Suppose 4*y - 638 = -626. Suppose -6/7*d - 4/7 + 0*d**2 + 2/7*d**y = 0. What is d?
-1, 2
Let w = -134 - -136. Find h such that -1/2*h**w + 0 + 0*h = 0.
0
Let o(l) be the first derivative of l**5/5 - 3*l**4/4 + 2*l**3/3 - 4. Factor o(t).
t**2*(t - 2)*(t - 1)
Let d(w) be the first derivative of -w**6/900 - w**5/100 - w**4/30 + w**3/3 + 3. Let f(h) be the third derivative of d(h). Let f(g) = 0. What is g?
-2, -1
Let c(d) be the third derivative of -d**10/50400 + d**8/1680 + d**5/15 - 6*d**2. Let b(t) be the third derivative of c(t). Factor b(a).
-3*a**2*(a - 2)*(a + 2)
Let j(i) = 6*i**3 - 4*i - 4. Let t(w) = w**4 + w**2 - w. Let h(l) = 2*j(l) + 4*t(l). Solve h(k) = 0.
-2, -1, 1
Determine k so that 0 - 2*k - 8/3*k**4 + 4/3*k**3 + 2/3*k**5 + 8/3*k**2 = 0.
-1, 0, 1, 3
Let m(t) = -2*t**3 - 18*t**2 - 16*t - 2. Let d(f) = -f**3 + f**2 + 1. Let n(r) = -2*d(r) - m(r). Determine q, given that n(q) = 0.
-2, 0
Let i(l) be the second derivative of -1/4*l**4 + 0*l**3 - l + 0*l**2 + 0. Factor i(t).
-3*t**2
Suppose -2*q + 6*q = 16. Suppose q = -3*z + 7*z. Let z - 1/2*o**2 - 1/2*o = 0. Calculate o.
-2, 1
Let k(y) = -y**4 - y**2 - y. Suppose -2*r - 15 = -5*r. Let g(m) = 5*m**4 + 4*m**3 - 15*m**2 - 9*m. Let z(a) = r*k(a) - g(a). Factor z(u).
-2*u*(u - 1)*(u + 1)*(5*u + 2)
Let x(i) = -i**3 - 2*i**2 + 2*i - 1. Let w be x(-3). Suppose w*s - 6 = -s. Let 0 - 2/5*h + 2/5*h**3 + 2/5*h**4 - 2/5*h**s = 0. Calculate h.
-1, 0, 1
Let l = 352 - 1758/5. Let 2*i - 2/5*i**2 - 6/5 - l*i**3 = 0. What is i?
-3, 1
Let b = 6 + -5. Let t(s) be the first derivative of -s - 1/6*s**3 - b + 3/4*s**2. Suppose t(v) = 0. Calculate v.
1, 2
Let x(k) be the first derivative of -1/3*k - 1/15*k**5 + 2/9*k**3 - 2 + 0*k**2 + 0*k**4. Factor x(o).
-(o - 1)**2*(o + 1)**2/3
Suppose -3*s = j - 15 - 7, -5*j + 74 = -3*s. Find m, given that 2*m + 3*m**4 + 6*m + m**4 + j*m**3 + 18*m**2 + 2*m**2 = 0.
-2, -1, 0
Let n = -217743/4 - -54713. Let x = 279 - n. Factor -1/2 + 7/4*s - x*s**3 + 1/2*s**2.
-(s - 1)*(s + 1)*(7*s - 2)/4
Factor 16 - 37*w**2 - 4*w**3 + 77*w**2 - 36*w - 16*w**2.
-4*(w - 4)*(w - 1)**2
Suppose -2*k - g - 20 = -4*k, -g = 0. Let h = k + -8. Factor -2*m**3 - 3*m**2 - 1/2 - 1/2*m**4 - h*m.
-(m + 1)**4/2
Let o be (-78)/21 + 6/(-21). Let l be (24/(-64))/(3/o). Determine w so that -l*w**5 + 1/2*w**3 + 0*w + 0*w**4 + 0*w**2 + 0 = 0.
-1, 0, 1
Let s(y) = y**3 - 7*y**2 + 4*y + 4. Let m be s(5). Let r = -23 - m. Find g such that -1/4 + 1/4*g**2 - 1/4*g + 1/4*g**r = 0.
-1, 1
Let j = 1 + 2. Let c(d) = -2*d**5 + 2*d**4 - 3*d. Let y(w) = -3*w**5 + 3*w**4 - 4*w. Let t(p) = j*y(p) - 4*c(p). Factor t(r).
-r**4*(r - 1)
Let -34 + 57 + 41 + 16*g + g**2 = 0. Calculate g.
-8
Suppose -3*n + 0*n = 5*x - 20, 0 = -3*x - n + 8. Solve 1 + 2*m**2 + 7*m + 3 - x = 0.
-3, -1/2
Let r(a) be the second derivative of -a**6/15 + a**4/2 - 2*a**3/3 - 2*a. Determine n so that r(n) = 0.
-2, 0, 1
Let d(x) be the second derivative of -1/65*x**5 - 1/65*x**6 + 0*x**2 - 8*x + 5/273*x**7 + 0*x**4 + 0*x**3 + 0. Determine a so that d(a) = 0.
-2/5, 0, 1
Let y(h) = 17*h**3 - 39*h**2 + 87*h - 64. Let m(a) = 8*a**3 - 20*a**2 + 44*a - 32. Let f(l) = -9*m(l) + 4*y(l). Determine i so that f(i) = 0.
2
Let v = -22 - -24. Let c(n) be the third derivative of 1/525*n**7 + 0 + 1/300*n**6 - 1/50*n**5 - 1/12*n**4 + 0*n - 2/15*n**3 - n**v. Factor c(d).
2*(d - 2)*(d + 1)**3/5
Factor 0*o**3 - 2*o**3 + 6 - o**3 + 0*o + 9*o.
-3*(o - 2)*(o + 1)**2
Let a(q) be the third derivative of 1/60*q**5 + 0 + 2*q**2 - 1/6*q**3 + 1/240*q**6 - 1/48*q**4 + 0*q. Factor a(g).
(g - 1)*(g + 1)*(g + 2)/2
Let g(x) be the second derivative of x**5/210 + x**4/84 - 2*x**2 + x. Let z(o) be the first derivative of g(o). Find h such that z(h) = 0.
-1, 0
Let i be (-51)/(-7) + 6/(-21). Let y = i - 5. Solve 2*h**4 - 5*h**2 + 3*h**2 + 0*h**2 + 0*h**y = 0 for h.
-1, 0, 1
Let p(y) be the first derivative of 6 - 2/9*y - 2/9*y**3 - 4/9*y**2. Factor p(w).
-2*(w + 1)*(3*w + 1)/9
Let w be (-2)/(-3)*(-23 - 13). Let i = 24 + w. Solve i + 1/4*z**3 - 1/4*z**2 + 0*z = 0 for z.
0, 1
Suppose -3*z = z. Solve 0*y**3 + z*y**3 - 2*y**3 + 3*y**4 - 4*y**4 = 0 for y.
-2, 0
Let c be 2 + (-3)/((-6)/(-4)). Factor d - 4*d**3 + c*d**3 + 3*d**3.
-d*(d - 1)*(d + 1)
Find v, given that v**2 + 8 - 19 + 6 - 2 + 6*v = 0.
-7, 1
Let f(l) be the third derivative of 0*l**3 + 0*l**4 - 1/630*l**7 + 0 + 1/180*l**6 - 6*l**2 + 0*l + 0*l**5 - 5/504*l**8. Factor f(s).
-s**3*(2*s + 1)*(5*s - 2)/3
Let l = 183 - 1097/6. Determine u so that l*u + 0 - 1/6*u**2 = 0.
0, 1
Let d(s) be the third derivative of 1/6*s**3 + 4/15*s**5 + 0 - 1/3*s**4 + s**2 + 0*s. Factor d(j).
(4*j - 1)**2
Let r(m) be the second derivative of m**5/60 - m**4/18 - m**3/6 - 57*m. Determine k so that r(k) = 0.
-1, 0, 3
Let i = 6 - 4. Suppose 4*y - 6 = 3*s, -i*y = -0*y - s - 4. What is c in 9*c**y + 4*c**2 + 4*c**2 - 5*c**2 - 3 - 9*c = 0?
-1, -1/3, 1
Let m(j) = j**4 - j**2 - j - 1. Let l(t) be the first derivative of -47*t**5/5 + 7*t**4 - 2*t**3 - t**2 - 2*t - 5. Let b(o) = l(o) - 2*m(o). Factor b(r).
-r**2*(7*r - 2)**2
Let u(s) be the third derivative of s**7/210 - s**5/30 + s**3/6 - 9*s**2. Find g, given that u(g) = 0.
-1, 1
Let i(w) = -39*w**2 - 24*w + 24. Let b(f) = 8*f**2 + 5*f - 5. Let y(k) = -24*b(k) - 5*i(k). Find x such that y(x) = 0.
0
Let d(k) = k**2 - 8*k + 10. Suppose 5*s - 3*s - 14 = 0. Let f be d(s). Factor f*j**2 - j**2 + 3*j + j.
2*j*(j + 2)
Suppose 4*d - 20 = 29*b - 25*b, -5*b = 5. Suppose 5*w = z + 22, 0 = z - 3*w - w + 17. What is x in 2/5*x**d + 2/5*x**z + 0 - 2/5*x**2 - 2/5*x = 0?
-1, 0, 1
Find s such that 40/7*s**2 - 16/7*s**4 + 0*s**3 - 24/7 - 4/7*s + 4/7*s**5 = 0.
-1, 1, 2, 3
Let p(c) be the first derivative of -3*c**5/35 + c**4/7 - c**3/21 + 5. Factor p(v).
-v**2*(v - 1)*(3*v - 1)/7
Factor -n**2 + 0 - 1/2*n**4 + 3/2*n**3 + 0*n.
-n**2*(n - 2)*(n - 1)/2
Suppose -11 = 2*j - 5*g, -3*j + 3*g - 13 = -5*j. Factor 2/3*q**j + 0*q + 0 - 2/3*q**3.
-2*q**2*(q - 1)/3
Let h(c) = -68*c**2 + 428*c - 864. Let w(q) = q**3 - 137*q**2 + 857*q - 1728. Let n(y) = -7*h(y) + 4*w(y). Factor n(g).
4*(g - 6)**3
Let f(s) = -s**3 + 7*s**2 - 13*s + 15. Let w be f(5). Factor 3/4*z**5 + 0*z**2 + 0 + 5/4*z**4 + w*z + 1/2*z**3.
z**3*(z + 1)*(3*z + 2)/4
Let j(r) = -r - 2. Let i be j(-5). Factor -o**i + 0*o**2 + 2*o**2 + 2*o + 3*o**3 - 6*o**2.
2*o*(o - 1)**2
Let a = 0 + 4. Let t(o) = -2*o**2 + 6*o - 4. Let m(r) = -r**2 + 3*r - 2. Let i(z) = a*t(z) - 7*m(z). Solve i(k) = 0 for k.
1, 2
Let p(c) be the first derivative of -c**7/280 + c**6/40 - c**5/20 + 2*c**3/3 + 6. Let t(w) be the third derivative of p(w). Suppose t(j) = 0. Calculate j.
0, 1, 2
Factor 7*f**2 + 434*f - 444*f - 2*f**2.
5*f*(f - 2)
Let v(t) be the first derivative of 2 - 3*t**2 - 2/3*t**3 - 4*t. Factor v(q).
-2*(q + 1)*(q + 2)
Suppose -13 + 3 = -2*p. Let m(k) be the third derivative of 1/300*k**6 + 2/75*k**p + 0 + 1/12*k**4 - 2*k**2 + 0*k + 2/15*k**3. Factor m(q).
2*(q + 1)**2*(q + 2)/5
Let l be (-2 - -3 - 5)/(-2). Suppose -2 = -l*t + t. Factor 1/2*i**3 + 0 + 0*i + 1/2*i**4 + 0*i**t.
i**3*(i + 1)/2
Let v(g) = -455*g**3 - 205*g**2 + 43*g + 19. Suppose -5*t + 7*t = 10. Let x(n) = 227*n**3 + 103*n**2 - 22*n - 10. Let p(z) = t*x(z) + 2*v(z). Factor p(r).
3*(3*r - 1)*(5*r + 2)**2
Let z be (-8)/28 + (-32)/(-14). Factor 8*b**4 - b**3 + b**5 + z*b**2 - 9*b**4 - b**2.
b**2*(b - 1)**2*(b + 1)
Let g(x) be the third derivative of 1/16*x**4 - 1/120*x**5 + 1/6*x**3 - 1/80*x**6 - 1/420*x**7 + 0*x + 0 + x**2. Find w such that g(w) = 0.
-2, -1, 1
Let w(i) be the second derivative of -i**7/105 + i**5/30 - 3*i**2/2 - 3*i. Let c(k) be the first derivative of w(k). Let c(h) = 0. What is h?
-1, 0, 1
Suppose 3*u + 3*d = 15, 2*u = -2*d - d + 15. Let l(a) be the first derivative of 0*a**3 + 1/8*a**4 - 1/20*a**5 + 0*a - 3 + u*a**2. Factor l(j).
-j**3*(j - 2)/4
Let m(c) be the first derivative of 0*c + 4 - 2*c**2 + 16/3*c**3. Find g such that m(g) = 0.
0, 1/4
Let l be 3 + (-3 - 20/(-5)). Let a(c) be the second derivative of -1/12*c**l + 0*c**3 + 0 - 1/10*c**5 + 0*c**2 - 1/30*c**6 + 4*c. Factor a(s).
-s**2*(s + 1)**2
Let f(n) be the second derivative of 3*n**5/40 - n**4/2 + n**3/4 + 9*n**2/2 + 32*n. Find w such that f(w) = 0.
-1, 2, 3
Let v = 20/