*h - 12, -5*x = 3*h - 35. Suppose -5*w = -5 - h. Suppose 0*b**4 - 2/7*b**5 + 0*b**2 + 4/7*b**w - 2/7*b + 0 = 0. What is b?
-1, 0, 1
Let a(z) = -z**3 + z - 4. Let h(i) = -1. Let w(k) = a(k) - 4*h(k). Factor w(f).
-f*(f - 1)*(f + 1)
Let s(n) be the first derivative of n**6/360 + n**5/96 + n**4/96 - 2*n**3/3 - 7. Let c(l) be the third derivative of s(l). Factor c(k).
(k + 1)*(4*k + 1)/4
Let c(b) be the third derivative of b**7/3780 - b**6/270 + b**5/45 - b**4/6 - 5*b**2. Let z(l) be the second derivative of c(l). Suppose z(y) = 0. What is y?
2
Find u such that 4*u + 3 + 3/4*u**2 - 1/4*u**3 = 0.
-2, -1, 6
Find k such that 0 + 2/5*k**3 - 2/5*k**5 + 2/5*k**2 + 0*k - 2/5*k**4 = 0.
-1, 0, 1
Let v(i) be the first derivative of 4*i**3/3 - 52*i**2 + 676*i - 46. Factor v(l).
4*(l - 13)**2
Let t(o) be the first derivative of o**7/168 - o**6/60 + o**5/120 + o**3 + 1. Let a(u) be the third derivative of t(u). Suppose a(z) = 0. What is z?
0, 1/5, 1
Let a(w) be the second derivative of 1/165*w**6 + 7/33*w**3 + 1/22*w**5 + 0 + 3/22*w**4 + 2/11*w**2 + 3*w. Determine x so that a(x) = 0.
-2, -1
Let z = 1 + 1. Let o = 9 - 9. Solve -2/5*f**4 + o + 2/5*f**3 - 2/5*f + 2/5*f**z = 0.
-1, 0, 1
What is r in 2/11*r**4 - 2/11*r + 2/11*r**3 - 2/11*r**2 + 0 = 0?
-1, 0, 1
Let u(b) be the first derivative of -2*b**4 + 4*b**3/3 + 4*b**2 - 4*b + 6. Factor u(q).
-4*(q - 1)*(q + 1)*(2*q - 1)
Let x(b) be the third derivative of 0*b**3 + 0 + 1/18*b**4 + 1/45*b**5 + 9*b**2 + 1/360*b**6 + 0*b. Factor x(u).
u*(u + 2)**2/3
Factor -10/9*l**2 + 4/9*l**3 + 2/9*l + 4/9.
2*(l - 2)*(l - 1)*(2*l + 1)/9
Let j be 3/1 - (-44)/(-44). Factor -1/2 - 1/2*c**j - c.
-(c + 1)**2/2
Let d be 1758/10395 - 4/(-18). Let m = d - -2/231. Determine v so that 0 - 2/5*v**3 + 2/5*v + 2/5*v**2 - m*v**4 = 0.
-1, 0, 1
Let w = -23 + 25. Let q(b) be the third derivative of -2*b**w + 0*b**4 + 1/30*b**5 + 0 + 0*b + 0*b**3. Let q(m) = 0. What is m?
0
Let d be ((-6)/4)/((-63)/420). Find b such that -15/2*b**3 - d*b - 31/2*b**2 - 2 = 0.
-1, -2/3, -2/5
Let f(z) be the second derivative of 2/3*z**4 + 0*z**2 - 1/3*z**3 + 0 - z - 1/2*z**5 + 2/15*z**6. Suppose f(p) = 0. What is p?
0, 1/2, 1
Let c be 2/6*(-3)/(-6)*2. Let b(w) be the first derivative of -3/4*w**4 + 0*w + w**2 + c*w**3 + 3. Let b(k) = 0. Calculate k.
-2/3, 0, 1
Let r(w) be the second derivative of -w**6/120 + w**5/40 - w**3/12 + w**2/8 - 7*w. Factor r(f).
-(f - 1)**3*(f + 1)/4
Factor -4 + 8*u**3 + 2*u**3 - 9*u**3 + 8*u - 5*u**2.
(u - 2)**2*(u - 1)
Suppose 0 = 2*l + 3*l - 15. Let i(v) be the first derivative of 0*v + 0*v**5 + 0*v**2 + 1/16*v**4 - 1/24*v**6 + 1 + 0*v**l. Factor i(d).
-d**3*(d - 1)*(d + 1)/4
Let j(x) be the first derivative of -x**4/4 - x**3/3 + x**2/2 + x - 21. Factor j(p).
-(p - 1)*(p + 1)**2
Suppose -36*j**2 - 10*j**4 + 16*j + 45 + 43 - 90 + 32*j**3 = 0. Calculate j.
1/5, 1
Let k be (-235)/(-45) - (-1 + 6). Let j(i) be the first derivative of -1 - 2/45*i**5 - 8/27*i**3 + k*i**4 + 0*i**2 + 0*i. Suppose j(d) = 0. Calculate d.
0, 2
Factor 10*a**4 + 2*a**2 - 8*a**4 - 4*a**4.
-2*a**2*(a - 1)*(a + 1)
Let t(a) be the third derivative of a**6/600 + a**5/300 - a**4/60 + 37*a**2. Factor t(n).
n*(n - 1)*(n + 2)/5
Let u(s) be the second derivative of -s**7/3780 - s**6/1620 + 2*s**3/3 + 5*s. Let g(o) be the second derivative of u(o). Suppose g(m) = 0. What is m?
-1, 0
Let d = -10 + 6. Let z be 2/d*(-1 + 1). Factor 0 + z*l**2 + 0*l + 2/5*l**3 - 2/5*l**4.
-2*l**3*(l - 1)/5
Let m be 7/(-2)*(40/35)/(-8). Factor 1/2*b**2 - b + m.
(b - 1)**2/2
Let s = 8 - 4. Suppose -k + 3*k - s = 0. Solve 8 - 343*f**3 + 120*f**2 + 71*f**2 + 103*f**k - 84*f = 0 for f.
2/7
Let k = -331 + 331. Factor -2/7*n**2 + k*n + 0 - 2/7*n**5 + 2/7*n**3 + 2/7*n**4.
-2*n**2*(n - 1)**2*(n + 1)/7
Let h be 0/(3*2/6). Suppose 0 - 1/3*p + 1/3*p**5 + h*p**3 - 2/3*p**4 + 2/3*p**2 = 0. What is p?
-1, 0, 1
Solve 0*z - 21/5*z**5 - 6/5*z**2 + 0 + 6/5*z**4 + 21/5*z**3 = 0 for z.
-1, 0, 2/7, 1
Let j(h) be the first derivative of 2*h**3/39 + 4*h**2/13 + 8*h/13 - 1. Let j(l) = 0. What is l?
-2
Factor -3*r**2 - 1 - 1 + r**3 + 5*r - r**2.
(r - 2)*(r - 1)**2
Let c(w) = w**3 + 4*w**2 - 4*w + 7. Let a be c(-5). What is y in a*y**2 + 0*y**3 - 5*y**4 - y + 0*y**3 + y**5 + 3*y**4 = 0?
-1, 0, 1
Suppose -2*h - 2 = -8. Suppose -q - 2 = -2*q. What is f in 2 + 0*f**2 + 2*f + 2*f**h - 2*f**2 - q*f**3 - 2*f**3 = 0?
-1, 1
Solve n**4 - 5*n**2 + 11*n**2 - 4*n**3 - 2*n**2 = 0 for n.
0, 2
Let 8/7*j + 10/7*j**5 + 66/7*j**3 + 40/7*j**2 + 44/7*j**4 + 0 = 0. What is j?
-2, -1, -2/5, 0
Let c = 107 + -104. Let h(v) be the second derivative of -2*v - 1/42*v**4 + 0 + 0*v**2 + 2/21*v**c. What is t in h(t) = 0?
0, 2
Let b = 9 - 10. Let t be (4 - 3)/(b/(-2)). Factor 0*f + 2 + f**t + 2*f + 0 - 1.
(f + 1)**2
Solve 7*r - 2*r**2 + 1 + 1 - 10 + 4 - r**3 = 0.
-4, 1
Let q(p) be the first derivative of -4*p**5/5 + 8*p**3/3 - 4*p - 18. Factor q(a).
-4*(a - 1)**2*(a + 1)**2
Suppose 0 - 7/3*p**4 + 2/3*p**3 - 2/3*p + 7/3*p**2 = 0. Calculate p.
-1, 0, 2/7, 1
Let n(f) be the second derivative of -f**10/120960 - f**9/20160 - f**8/8960 - f**7/10080 + f**4/6 - f. Let y(q) be the third derivative of n(q). Factor y(a).
-a**2*(a + 1)**3/4
Let 1/2*w**3 - 3/2*w**2 - 9/2*w - 5/2 = 0. What is w?
-1, 5
Let u(h) be the first derivative of 5*h**6/4 - 5*h**5/2 + 35*h**4/24 - 5*h**3/18 - 4. Factor u(v).
5*v**2*(v - 1)*(3*v - 1)**2/6
Find a such that 14*a**3 + 14*a**2 + 10*a**4 - 6*a + 0*a - 16*a**4 = 0.
-1, 0, 1/3, 3
Let p(t) = -3*t + 9. Let v be p(8). Let y be 3/v - 16/(-5). Suppose 31*d - 3*d**2 + y - 34*d - 3 = 0. What is d?
-1, 0
Let n = -134 + 406/3. Let p(x) be the first derivative of 1 + 5/3*x**2 + 1/6*x**4 + 8/9*x**3 + n*x. Factor p(a).
2*(a + 1)**2*(a + 2)/3
Let i be (2/4)/((-2)/(-4)). Suppose 5 + i = 2*c. Factor -2/5*v**c - 2/5*v**2 + 0 + 0*v.
-2*v**2*(v + 1)/5
Let d(o) be the second derivative of -o**4/6 - o**3/12 + 9*o. Factor d(u).
-u*(4*u + 1)/2
Let i = -8 - -14. Let m(g) = 4*g - 3 - 2*g + i + 0 - 5*g**2. Let k(o) = -6*o**2 + 3*o + 4. Let w(q) = -4*k(q) + 5*m(q). Factor w(v).
-(v + 1)**2
Let k(j) be the third derivative of j**8/1008 + j**7/630 - j**6/72 - j**5/180 + j**4/9 - 2*j**3/9 - 2*j**2. Factor k(v).
(v - 1)**3*(v + 2)**2/3
Let t(m) = 128*m**2 + m - 1. Let h be t(1). Let -2 - 120*y**2 - 34*y + 9*y - 224*y**3 - y - h*y**4 = 0. What is y?
-1, -1/4
Let v(t) be the second derivative of t**4/42 - t**3/21 - 13*t. Suppose v(g) = 0. What is g?
0, 1
Determine c, given that -2/5*c**3 + 2*c**2 + 6/5 - 14/5*c = 0.
1, 3
Let j(d) be the second derivative of -d**7/168 - d**6/120 + d**5/80 + d**4/48 - 16*d. What is y in j(y) = 0?
-1, 0, 1
Let n(q) = 2*q - 4. Let p be n(4). Factor -4 - 2*u**3 - 2 - 2*u**2 - 2 + 8*u + p*u**2.
-2*(u - 2)*(u - 1)*(u + 2)
Let n(z) be the third derivative of 1/24*z**4 - 1/60*z**6 + 0*z + 4*z**2 - 1/140*z**7 + 0*z**3 + 0 + 1/120*z**5. Factor n(s).
-s*(s + 1)**2*(3*s - 2)/2
Suppose 5*d - 3 - 7 = 0. Factor 4*r**2 + 6*r**2 + 6 + 21*r - 4*r**d + 9*r**2.
3*(r + 1)*(5*r + 2)
Let k = -23 - -25. Let a be 2/(-3) + k/3. Factor a - 2/3*p**2 + p**3 + 0*p.
p**2*(3*p - 2)/3
Let m(o) = o**2 - 6*o + 2. Let n be m(6). What is h in -n + h + 2*h - 6*h**2 + 4*h**2 + h = 0?
1
Let m(g) be the first derivative of g**5/90 - g**4/18 + g**3/9 + 3*g**2 - 9. Let w(f) be the second derivative of m(f). Factor w(o).
2*(o - 1)**2/3
Let c(j) be the second derivative of -j + j**4 - 1/28*j**7 + 0 + 7/30*j**6 - 13/20*j**5 + 1/2*j**2 - 11/12*j**3. Factor c(o).
-(o - 1)**4*(3*o - 2)/2
Factor 46/3*q**2 + 20*q + 8/3*q**3 - 6.
2*(q + 3)**2*(4*q - 1)/3
Factor -3/2*y - 1/2 - 3/2*y**2 - 1/2*y**3.
-(y + 1)**3/2
Suppose 0 = -2*q - 0*q + 50. Suppose -3*h + 16 = 2*a, -a - 4*a + q = 0. Suppose -8*w**3 - 4*w**h + 5*w**2 + w**2 = 0. What is w?
0, 1/4
Find j such that 56/5*j**4 + 4/5*j**2 + 6*j**5 + 6*j**3 + 0 + 0*j = 0.
-1, -2/3, -1/5, 0
Let o(l) = -l**2 - 9*l - 2. Let n be o(-7). Let t = -35/3 + n. Solve t*h**2 - 1/3 + 1/3*h - 1/3*h**3 = 0 for h.
-1, 1
Let q(m) = 2*m - 15. Let l be q(-7). Let c = -27 - l. Factor 1/6*v + 1/3 - 1/6*v**3 - 1/2*v**c + 1/6*v**4.
(v - 2)*(v - 1)*(v + 1)**2/6
Factor 0*o + 0*o**2 + 0 + 10/11*o**5 + 4/11*o**3 + 14/11*o**4.
2*o**3*(o + 1)*(5*o + 2)/11
Let h(l) be the first derivative of l**6/360 - l**5/60 + l**4/24 - l**3/18 + l**2/2 - 3. Let j(u) be the second d