 - b**4 = 0 for b.
-2, -1, 1
Let l(k) = -2*k**2 - 3*k + 2. Let p be l(-2). Let w(h) be the second derivative of 1/9*h**4 + 0*h**2 + p + 0*h**3 + 2*h - 1/30*h**5. Solve w(t) = 0 for t.
0, 2
Suppose -14 = 5*k + 1, -3 = -z + k. Factor 3*u**3 + u**2 - 4*u**2 + z*u**2.
3*u**2*(u - 1)
Let q(s) be the first derivative of s**5/40 + s**4/24 - s**3/12 - s**2/4 + 2*s - 3. Let r(g) be the first derivative of q(g). Find u such that r(u) = 0.
-1, 1
Let r(m) be the third derivative of -m**7/1260 + m**6/1440 + m**4/24 + m**2. Let b(d) be the second derivative of r(d). Suppose b(u) = 0. Calculate u.
0, 1/4
Let j(k) be the second derivative of k**4/18 - 4*k**3/9 + 4*k**2/3 + 5*k. Find i, given that j(i) = 0.
2
Factor 6 + 0*j**2 + 43*j**2 + 5*j**2 - 3*j**5 - 42*j**3 - 27*j + 20*j**4 - 2*j**4.
-3*(j - 2)*(j - 1)**4
Let n be (3/(-18))/((-1)/4). Let 0*q - 2/3*q**2 + 0 - n*q**3 = 0. Calculate q.
-1, 0
Let b(u) be the second derivative of -u**5/100 - u**4/30 - u**3/30 + 26*u. Suppose b(q) = 0. What is q?
-1, 0
Suppose 19*k - 4*k + 4*k = 0. Let p(m) be the first derivative of k*m - 10*m**3 - 99/4*m**4 - 8*m**6 - 24*m**5 - 3/2*m**2 - 3. Factor p(s).
-3*s*(s + 1)**2*(4*s + 1)**2
Factor -2/9*h + 4/9 + 2/9*h**3 - 4/9*h**2.
2*(h - 2)*(h - 1)*(h + 1)/9
Let b = 1564 + -28159/18. Let y = b - -41/36. Factor y - 1/2*j - 1/4*j**2.
-(j - 1)*(j + 3)/4
Let w(m) be the first derivative of 4*m**3/3 - 32. Factor w(g).
4*g**2
Let x be (4/(-9))/(1*-2). Suppose -2*b = -2*b - b. Suppose -x*l**2 + 2/9*l + b = 0. What is l?
0, 1
Let b(p) be the first derivative of 1/2*p**4 + 2 - 8/3*p**3 - 4*p + 5*p**2. Suppose b(j) = 0. What is j?
1, 2
Let o(z) = 4*z - 3*z + 0*z - 5. Let m be o(7). Solve 2/7*n + 2/7*n**4 + 6/7*n**3 + 6/7*n**m + 0 = 0.
-1, 0
Let j(l) be the second derivative of l**6/10 + 3*l**5/20 - l**4/4 - l**3/2 + 6*l. Let j(s) = 0. Calculate s.
-1, 0, 1
Let p be 2/18*(-198)/(-44). Determine a, given that 1/4 + 1/2*a**3 - p*a - 1/4*a**4 + 0*a**2 = 0.
-1, 1
Let z(f) be the second derivative of f**6/50 - 9*f**5/100 + f**4/10 + 8*f. Suppose z(w) = 0. What is w?
0, 1, 2
Let l be 2/5 + (-117)/(-45). Suppose 5*s + 4*x = s + 32, l*s = -2*x + 19. Solve -1/3*n - 1/3*n**2 + 0 + 1/3*n**4 + 1/3*n**s = 0.
-1, 0, 1
Let p(x) be the second derivative of 0*x**2 + 1/90*x**4 + 0 + 0*x**3 + 1/75*x**6 - 2/75*x**5 + 3*x. Factor p(y).
2*y**2*(y - 1)*(3*y - 1)/15
Let j = 862/1899 - 2/211. Factor 2/9*g**4 - 4/9*g - 2/9*g**2 + j*g**3 + 0.
2*g*(g - 1)*(g + 1)*(g + 2)/9
Let v = -10 + 13. Suppose v*p**2 - p**5 - 3*p**3 + 3*p**4 - 4*p**2 - 6*p**4 = 0. Calculate p.
-1, 0
Suppose 5*u = 11 + 4. Let y(a) = 4*a**4 + a**3 + a**2 + 3. Let w(g) = -7*g**4 - 3*g**3 - 3*g**2 - 5. Let j(n) = u*w(n) + 5*y(n). Find i such that j(i) = 0.
-2, 0
Let v(f) be the second derivative of 3*f**5/5 - f**4 + f**3/2 - 17*f. Factor v(h).
3*h*(2*h - 1)**2
Let o(l) be the third derivative of l**6/900 + l**5/100 + l**4/30 + l**3/6 + 2*l**2. Let b(j) be the first derivative of o(j). Find c such that b(c) = 0.
-2, -1
Find a, given that 2/7*a**2 + 4/7 + 6/7*a = 0.
-2, -1
Suppose -4*d - 11 = -s, 2*d = -4*s - 14 - 14. Let k be 4/(-20) - 2/s. Determine g, given that 1/5*g**2 - k*g - 1/5 + 1/5*g**3 = 0.
-1, 1
Let t = 311/3 - 103. Suppose z**2 + 1/3*z**5 - z**4 + 1/3*z**3 + 0 - t*z = 0. What is z?
-1, 0, 1, 2
Let a(l) = l**3 - l**2 - 1. Let p(d) = -3*d**3 + d**2 + 3*d + 6. Let y(o) = 4*a(o) + p(o). Let k(w) be the first derivative of y(w). Factor k(f).
3*(f - 1)**2
Let a(c) be the third derivative of 0*c**3 - 1/16*c**5 - 1/16*c**4 + 0 + 4*c**2 + 0*c - 3/160*c**6. Factor a(w).
-3*w*(w + 1)*(3*w + 2)/4
Let h(u) be the second derivative of -u**8/1680 + u**6/180 + 7*u**4/12 + 3*u. Let f(r) be the third derivative of h(r). Factor f(o).
-4*o*(o - 1)*(o + 1)
Let m = 4 - 1. Factor 2 + 6*k**2 - m*k**4 - 3 - 2.
-3*(k - 1)**2*(k + 1)**2
Let r = 1/35 + 6/35. Suppose 0 + 0*t - r*t**2 = 0. What is t?
0
Determine b, given that 4*b**3 - 2*b**2 + b**2 + 0*b - 8*b + 5*b**2 = 0.
-2, 0, 1
Let n(u) be the second derivative of u**6/75 - u**5/50 - u**4/10 + u**3/3 - 2*u**2/5 + 31*u. Determine l so that n(l) = 0.
-2, 1
Let g = 1823/690 - 60/23. Let w = g + 53/210. Factor -4/7 - 2/7*c + w*c**2.
2*(c - 2)*(c + 1)/7
Let v(b) be the third derivative of -b**5/120 + b**4/48 + b**3/6 + 21*b**2. Determine n so that v(n) = 0.
-1, 2
Factor -14*o**5 - 6*o**3 + 94*o**4 - 2*o**3 - 62*o**4.
-2*o**3*(o - 2)*(7*o - 2)
Let g = -68 + 137/2. Let u(a) be the second derivative of 1/2*a**4 + 0*a**2 + 2/3*a**3 + 0 + a - g*a**5. Factor u(p).
-2*p*(p - 1)*(5*p + 2)
Let i(u) be the first derivative of u**4 + 28*u**3/3 + 30*u**2 + 36*u + 39. Determine p so that i(p) = 0.
-3, -1
Let r(n) = -4*n**3 - 34*n**2 + 81*n - 74. Let u(i) = 3*i**3 + 33*i**2 - 81*i + 75. Let s(x) = 6*r(x) + 7*u(x). Factor s(g).
-3*(g - 3)**3
Solve 22/3*l + 2/3*l**2 + 0 = 0.
-11, 0
Let x(l) be the first derivative of -10*l**3/3 - 7*l**2 + 12*l + 38. Suppose x(r) = 0. What is r?
-2, 3/5
Factor -13*q**4 - 6*q**4 + 9*q**3 - 11*q**4 + 18*q**4 + 3*q**2.
-3*q**2*(q - 1)*(4*q + 1)
Let z(c) be the third derivative of -9*c**2 + 0*c + 0*c**3 + 0*c**4 + 1/420*c**5 - 1/840*c**6 + 0. Factor z(n).
-n**2*(n - 1)/7
Let i(d) be the second derivative of d**5/4 + 5*d**4/6 + 5*d**3/6 - 2*d. Suppose i(t) = 0. What is t?
-1, 0
Let k(y) be the first derivative of 5*y**4/4 + 2*y**3 - 11*y + 4. Let o(r) = 6*r**3 + 6*r**2 - 12. Let x(j) = 4*k(j) - 3*o(j). Solve x(b) = 0.
-2, 1
Let o be (5 - 3) + 3 + 0. Suppose -o*c = a - 7, -3*c = 5*a - 3*a. Factor 10*i**2 - 6 - 15*i + 6*i**c + 5*i**2.
3*(i - 1)*(7*i + 2)
Let w(g) = -g**3 - 4*g**2 + 4. Let r be w(-4). Solve r*k - 2*k + 4 - 4*k**2 + 2*k**2 = 0 for k.
-1, 2
Let -1/3*f - 2/3 + 1/3*f**2 = 0. Calculate f.
-1, 2
Suppose 2*d = 7*d + 15. Let j(p) = 8*p**3 - 4*p**2. Let m(q) = -q**4 + 8*q**3 - 4*q**2. Let y(v) = d*m(v) + 2*j(v). Determine b, given that y(b) = 0.
0, 2/3, 2
Let p(f) = -f**2 - 6*f. Let g be p(-6). Suppose -5*h = 20, g = -3*v - 2*v - 2*h + 2. Let 2/7*u + 2/7*u**v - 4/7 = 0. Calculate u.
-2, 1
Let g(x) = -x**2 + 19*x - 24. Let l be g(18). Let m be -3 + -2*9/l. Find p, given that 2/7*p**3 - 4/7*p**2 + 0*p + m = 0.
0, 2
Let h(j) be the third derivative of -j**6/120 + j**5/30 + j**4/6 - 4*j**3/3 - 22*j**2. Find l such that h(l) = 0.
-2, 2
Let j(f) = f**3 + f**2 - 1. Let g(v) = -4*v**4 - 6*v**3 + 2*v**2 + 2. Let c(m) = -g(m) - 6*j(m). Factor c(u).
4*(u - 1)**2*(u + 1)**2
Find h such that 8*h + 8*h**2 - 2*h + 2*h + 2*h**3 = 0.
-2, 0
Let z(t) = -t**3 - t - 1. Let g(d) = -2*d**4 - 2*d**3 + 12*d + 4. Let s(o) = -g(o) - 4*z(o). Let s(m) = 0. Calculate m.
-2, 0, 1
Find w such that 0 + 6/5*w**4 - 4/5*w**3 + 0*w**2 + 0*w - 2/5*w**5 = 0.
0, 1, 2
Solve -6 - 3/2*t**2 + 15/2*t = 0 for t.
1, 4
Let n(x) be the first derivative of -x**6/36 + x**4/8 - x**3/9 + 5. Factor n(s).
-s**2*(s - 1)**2*(s + 2)/6
Solve 6 + 3/2*b**2 - 6*b = 0 for b.
2
Suppose 0*h + 4/9 - 1/9*h**3 - 1/3*h**2 = 0. What is h?
-2, 1
Let d(n) be the second derivative of n**4/96 + n**3/8 + 9*n**2/16 + 7*n. Factor d(v).
(v + 3)**2/8
Let w = -4 - -1. Let u be ((-4)/(-1))/(5 + w). Factor -c - 2*c**u + 2*c + c.
-2*c*(c - 1)
Let o = 7 + -10. Let u(q) = -q - 1. Let p be u(o). Factor -2/9*z**p + 0 + 2/9*z.
-2*z*(z - 1)/9
Factor 4/7*d + 2/7*d**2 - 6/7.
2*(d - 1)*(d + 3)/7
Factor 0 - 9 - 28*r + 7 + 8*r - 50*r**2.
-2*(5*r + 1)**2
Let g be (12/(-36) - (-5)/33)*-1. Factor 8/11*n + 8/11 + g*n**2.
2*(n + 2)**2/11
Let x = 4/271 - -1881/1084. Factor 0 - x*b**3 + b - 3*b**2.
-b*(b + 2)*(7*b - 2)/4
Let n = -9 + 8. Let r be (-1)/(n - -3 - 6). Factor -1/4 + r*g**2 + 0*g.
(g - 1)*(g + 1)/4
Let f(p) be the second derivative of 0*p**2 - 1/90*p**5 + 0*p**3 + 0*p**4 + 0 - 1/135*p**6 - 3*p. Factor f(v).
-2*v**3*(v + 1)/9
Let w(h) be the first derivative of 0*h + 2/3*h**3 + h**2 + 2. Factor w(t).
2*t*(t + 1)
Let b(t) = -t**5 + 2*t**3 - 2*t**2 - t + 2. Let p(i) = -5*i**5 + 10*i**3 - 11*i**2 - 5*i + 11. Let z(x) = 33*b(x) - 6*p(x). Factor z(m).
-3*m*(m - 1)**2*(m + 1)**2
Let q = -3 - -8. Factor -a**3 - 2*a**3 - 3*a**4 - 5*a**2 + 3*a**q + 8*a**2.
3*a**2*(a - 1)**2*(a + 1)
Let 6/5*r**3 - 24/5*r - 9/5*r**2 - 9/5 = 0. Calculate r.
-1, -1/2, 3
Let i(s) be the first derivative of -1/9*s**3 + 0*s + 1/15*s**5 + 4 - 1/12*s**4 + 0*s**2 + 1/18*s**6. Determine x so that i(x) = 0.
-1, 0, 1
Let i(f