a**2 = 0 for a.
0, 1
Let 4*g + 2*g**3 + g**4 - 17*g + g**2 + 13*g = 0. What is g?
-1, 0
Let r(h) be the second derivative of -h**7/2520 + h**5/120 - 2*h**4/3 - 6*h. Let k(f) be the third derivative of r(f). Find x, given that k(x) = 0.
-1, 1
Factor 73*q**3 + 44*q**4 + 5*q**2 + 35*q**5 + 51*q**4 - 10*q + 2*q**3.
5*q*(q + 1)**3*(7*q - 2)
Let g be -2 - (-2)/(1/1). Find l such that -1 - 3 + g*l - 2*l + 2*l**2 = 0.
-1, 2
Solve 62*b**2 + 4*b**3 - 4*b - 62*b**2 = 0.
-1, 0, 1
Let j be (-6)/2*5/(-5). Let t(m) be the first derivative of -2/9*m**j + 2/3*m**2 - 2 + 0*m. Determine r so that t(r) = 0.
0, 2
Let j(s) be the third derivative of s**8/30240 + s**7/5670 + s**6/3240 + 5*s**4/12 + 8*s**2. Let g(b) be the second derivative of j(b). Let g(t) = 0. What is t?
-1, 0
Suppose 0*s = 2*s - o - 2, 2*o - 10 = -3*s. Suppose -s*l = 2*l. Factor 1/2 + l*b - 1/2*b**2.
-(b - 1)*(b + 1)/2
Let r = 328 - 328. Factor 0*i + r - 1/3*i**2.
-i**2/3
Let h(l) = 3*l**2 + 3*l**2 - 5*l**2 + l. Let p(d) = -d**3 + 3*d**2 + 0*d**2 - d + 5*d. Let m(b) = -3*h(b) + p(b). Factor m(u).
-u*(u - 1)*(u + 1)
Let i(v) = v**2 + 2. Suppose 4*z + 9 = 3*o + 2*o, 4*o = -2*z + 2. Let g(r) = -r. Let k(l) = o*i(l) - 3*g(l). Factor k(q).
(q + 1)*(q + 2)
Solve 3/7*s**2 - 3/7*s + 0 = 0.
0, 1
Let z(n) be the first derivative of 2*n**3/27 - 5*n**2/9 + 4*n/3 + 36. What is l in z(l) = 0?
2, 3
Let z(b) = 4*b**3 - b**4 + 2*b**3 + 1 + 0*b**3 - 7*b**3. Let l(d) = -5*d**4 - 5*d**3 + 8*d**2 + 1. Let o(f) = -l(f) + z(f). Factor o(q).
4*q**2*(q - 1)*(q + 2)
Let c(f) be the third derivative of -f**9/5040 + f**7/840 + f**4/4 - f**2. Let o(p) be the second derivative of c(p). Factor o(r).
-3*r**2*(r - 1)*(r + 1)
Let d be -3*(2 + (-1 - 0)). Let o be d + (1 - -1) - -7. Find p, given that 4 - 2*p - o*p**2 + 2*p**2 + 2*p**2 = 0.
-2, 1
Suppose 4 = -4*z + 4*u, 5*z - 1 + 3 = 2*u. Let k be (-6)/((-6)/5) + -3. Factor 0 - 6/5*v**3 - 3/5*v**4 + z*v + 0*v**k + 3/5*v**5.
3*v**3*(v - 2)*(v + 1)/5
Let w = 41 - 41. Find j, given that 0*j - 1/6*j**5 + 0*j**4 + 0 + 1/6*j**3 + w*j**2 = 0.
-1, 0, 1
Let n(i) be the third derivative of 0*i**3 - 1/30*i**6 + 11*i**2 + 0 - 2/15*i**5 + 0*i**4 + 0*i. Solve n(a) = 0 for a.
-2, 0
Let o = 38 - 34. Let f(j) be the first derivative of 0*j**3 + 0*j**2 + 0*j + 11/5*j**5 - 2 - 1/2*j**o. Determine m so that f(m) = 0.
0, 2/11
Factor -4*q**2 + 3 + 0 + 1 + 0.
-4*(q - 1)*(q + 1)
Find w, given that -12*w**2 + 7*w**5 - 5*w**5 + 12 - 4*w**5 - 6 + 4*w**3 + 6*w**4 - 2*w = 0.
-1, 1, 3
Let i(r) be the second derivative of -r**6/6 - 3*r**5/4 - 5*r**4/4 - 5*r**3/6 - 2*r. Factor i(f).
-5*f*(f + 1)**3
Let n(v) be the first derivative of -49*v**6/2 - 84*v**5/5 + 135*v**4/4 + 28*v**3 + 6*v**2 + 19. What is f in n(f) = 0?
-1, -2/7, 0, 1
Let d(u) = -u + 7. Let g be d(5). Factor 1/2 - q + 1/2*q**g.
(q - 1)**2/2
Let x(t) be the third derivative of t**2 - 1/120*t**5 + 0 + 0*t + 1/4*t**3 + 1/24*t**4. Solve x(w) = 0.
-1, 3
Let d(v) be the first derivative of v**6/540 + v**5/180 - v**4/18 + 2*v**3/3 + 3. Let r(t) be the third derivative of d(t). Solve r(h) = 0 for h.
-2, 1
Let q be (-36)/45*(-2)/32. Let d(t) be the second derivative of -t + q*t**5 + 0*t**2 + 0 + 0*t**3 - 1/12*t**4. Factor d(j).
j**2*(j - 1)
Factor 35 - 55 + 0*g**3 + 2*g**3 + 3*g**3 + 15*g**2.
5*(g - 1)*(g + 2)**2
Find a such that 0*a**2 + 2/9*a**4 + 0*a + 4/9*a**3 + 0 = 0.
-2, 0
Let n(c) be the first derivative of -c**6/30 + c**4/12 + 2*c - 1. Let y(q) be the first derivative of n(q). Factor y(i).
-i**2*(i - 1)*(i + 1)
Let t(w) be the second derivative of -1/8*w**4 + 0 + 0*w**2 - 3*w - 1/4*w**3. Determine l, given that t(l) = 0.
-1, 0
Let w = 4/1835 + 127/110100. Let g(v) be the third derivative of 0*v**3 + 0*v**5 + 0*v**4 - 1/525*v**7 + 0*v + 0 - w*v**6 - v**2. Solve g(o) = 0.
-1, 0
Let c(k) = -3*k + 9. Let o be c(3). Suppose 0 = 2*v - 4*i - 22, -2*v + 3*i + 3 = -5*v. Factor 0 - 2/13*j**v + 0*j**2 + o*j.
-2*j**3/13
Let s(l) = 5*l + 58. Let o be s(-11). Determine x, given that -1/3*x + 1/3*x**2 + 1/3*x**o - 1/3 = 0.
-1, 1
Suppose 3*v + u = 5*v - 9, -4*v - 2*u + 6 = 0. Let y(q) be the first derivative of 2 + 2/7*q**2 - 2/21*q**v - 2/7*q. Factor y(f).
-2*(f - 1)**2/7
Determine m so that -3/5*m**4 + 0*m + 1/5*m**5 - 1/5*m**2 + 3/5*m**3 + 0 = 0.
0, 1
Let p(j) be the third derivative of -3*j**2 + 0 + 0*j**3 - 1/120*j**5 + 0*j - 1/120*j**6 + 0*j**4 - 1/420*j**7. Factor p(w).
-w**2*(w + 1)**2/2
Let h = -1/13 - -61/117. Determine y, given that -2/9*y**2 - h*y + 0 + 44/9*y**3 + 14/3*y**4 = 0.
-1, -1/3, 0, 2/7
Let z = 177 + -174. Factor 2/7*h**5 + 0*h + 0 - 6/7*h**4 + 6/7*h**z - 2/7*h**2.
2*h**2*(h - 1)**3/7
Let z be (1 - 0)*-38 - -2. Let p be ((-3)/(-18))/((-8)/z). Factor -3/4 + 3/4*u**2 - 3/4*u**3 + p*u.
-3*(u - 1)**2*(u + 1)/4
Let k(z) be the third derivative of -z**7/1120 + z**6/240 - z**5/160 + z**4/6 + z**2. Let p(b) be the second derivative of k(b). Let p(u) = 0. Calculate u.
1/3, 1
Let c be (6/21)/((-2)/(-14)). Let w(t) be the first derivative of 9/2*t**2 - 2*t - c - 7/3*t**3. Factor w(m).
-(m - 1)*(7*m - 2)
Let z(o) be the second derivative of 0*o**2 + 3*o - 1/16*o**4 + 0 - 3/80*o**5 + 0*o**3. Find i such that z(i) = 0.
-1, 0
Factor 0 + 6/5*b - 3/5*b**2.
-3*b*(b - 2)/5
Let f(d) be the third derivative of 2*d**2 + 0 + 1/120*d**6 + 9/8*d**4 - 3/20*d**5 - 9/2*d**3 + 0*d. Factor f(s).
(s - 3)**3
Let d(z) be the third derivative of z**6/540 - z**5/90 + z**4/54 + 6*z**2. Solve d(o) = 0 for o.
0, 1, 2
Find n such that -2800/9*n**4 - 80/9*n - 32/9 + 184/3*n**2 + 740/9*n**3 = 0.
-2/7, -1/4, 2/5
Let w = -1 + 4. Suppose 5*t - c = -3, 9 = -w*t + 8*t + 3*c. Find d, given that 0*d**2 + 0 + t*d + 1/2*d**3 - 1/2*d**4 = 0.
0, 1
Let v(z) be the first derivative of -1/4*z**4 + 2/3*z**3 - 2 - 1/2*z**2 + 0*z**5 + 0*z + 1/60*z**6. Let o(l) be the second derivative of v(l). Factor o(j).
2*(j - 1)**2*(j + 2)
Suppose -4*q = -2*b + 3 - 17, 0 = 3*b + 15. Let m be 0 + q + -4 + 6. Factor 81/2*c**5 - 12*c - 207/2*c**4 + 139/2*c**m + 15/2*c**2 - 2.
(c - 1)**3*(9*c + 2)**2/2
Let q be (-1)/(-2)*19/19. Let -1/2*a + 1/3*a**2 - q*a**4 + 1/6 + 1/3*a**3 + 1/6*a**5 = 0. What is a?
-1, 1
Solve 10*i + 14 + 6*i**2 + 2 - 38*i = 0 for i.
2/3, 4
Suppose 12 = 4*w - w. Suppose -l = u + 4*l - 14, 2*u = 2*l + w. Solve -2/3*v**5 - 2*v**u + 0*v - 2*v**3 - 2/3*v**2 + 0 = 0 for v.
-1, 0
Let d(a) = 13*a**4 + 9*a**3 + 9*a + 9. Let i(p) = 4*p**3 + 7 + 5*p**4 + p**4 + 0*p**4 + 4*p - 3. Let s(g) = 4*d(g) - 9*i(g). Factor s(v).
-2*v**4
Let v(y) be the third derivative of -y**7/210 + y**6/24 - y**5/12 - 5*y**4/24 + y**3 - 3*y**2 + 1. Find u such that v(u) = 0.
-1, 1, 2, 3
Let s(l) = -l**5 + l**4 - 1. Let z(y) = 4*y**5 - 3*y**4 - 2*y**2 + y + 5. Let n(t) = -10*s(t) - 2*z(t). Factor n(c).
2*c*(c - 1)**3*(c + 1)
Let q(d) be the third derivative of -d**6/840 - 4*d**5/105 - 8*d**4/21 + d**2 - 3. Suppose q(u) = 0. What is u?
-8, 0
Let f(m) = -4*m**5 + 11*m**4 + 22*m**3 + 9*m**2 + 9*m + 7. Let z(s) = -s**5 + s**3 + s + 1. Let k(x) = -2*f(x) + 14*z(x). Factor k(d).
-2*d*(d + 1)**3*(3*d + 2)
Solve 0*k + 1/5*k**3 + 0 + 1/5*k**2 = 0 for k.
-1, 0
Let w(p) be the first derivative of 18*p + 6*p**2 + 2/3*p**3 + 2. Factor w(s).
2*(s + 3)**2
Determine f so that 2/15*f - 2/15*f**2 + 4/15 = 0.
-1, 2
Let h(m) be the first derivative of m**9/504 - m**8/80 + m**7/40 - m**6/60 - m**3/3 + 2. Let g(f) be the third derivative of h(f). Find u, given that g(u) = 0.
0, 1/2, 1, 2
Solve 38*h - 16*h**2 - 4*h**3 + 2*h**2 - 34*h - 6*h**2 + 20*h**4 = 0.
-1, 0, 1/5, 1
Suppose 4/7*x + 12/7*x**2 + 12/7*x**3 + 0 + 4/7*x**4 = 0. Calculate x.
-1, 0
Suppose 3*t + 2 = 161. Let x = 109/2 - t. Factor -3/2*j**2 - 1/2*j**3 - x*j - 1/2.
-(j + 1)**3/2
Let p(v) be the second derivative of 0*v**5 - 1/2*v**3 - 3*v + 0 + 0*v**2 + 1/180*v**6 - 1/12*v**4. Let r(f) be the second derivative of p(f). Factor r(z).
2*(z - 1)*(z + 1)
Let j = 4 - 2. Suppose 2*n + 2*n - 3 = -5*x, -3 = -j*n - x. Factor -1/5*t**5 + 0 + 0*t - 1/5*t**n + 1/5*t**4 + 1/5*t**3.
-t**2*(t - 1)**2*(t + 1)/5
Determine k, given that -9*k**3 - 10*k**4 - 4*k**4 - 15*k**3 - 3*k**2 - 34*k**4 = 0.
-1/4, 0
Let l be (-2)/(-7) - (-10)/(-35). Let j(i) be the first derivative of -1/12*i**3 - 1/16*i**4 + 0*i**2 - 1 + l*i. Determine a, given that j(a) = 0.
-1, 0
Let a(r) = 1. Let b(l) = l**2 + 3*l + 5. Let i(w) = -1