. Let k(y) = -5*b(y) + 6*r(y). Find v, given that k(v) = 0.
-2, -1
Let c(h) be the first derivative of -h**2 - h + 11. Let g be c(-2). Find m, given that 4/9 - 2/9*m**g + 0*m**2 + 2/3*m = 0.
-1, 2
Let x = -4 + 9. Factor 0*d + 0*d**2 + 6*d**3 + 2*d**2 + 0*d + 6*d**4 + 2*d**x.
2*d**2*(d + 1)**3
Let y(b) be the third derivative of b**5/60 - b**4/24 - b**3 + 47*b**2. Find m such that y(m) = 0.
-2, 3
Let s = 8/153 + 4405/612. Let -1/2*b**2 + 2 - 3/2*b**4 + 9/4*b**5 + 5*b - s*b**3 = 0. Calculate b.
-1, -2/3, 1, 2
Let w(y) be the third derivative of 1/12*y**4 + 0*y**3 + 0*y + 0 - 2*y**2 - 1/30*y**5. Suppose w(x) = 0. What is x?
0, 1
Let v(f) be the second derivative of -f**4/42 - 2*f**3/7 - 9*f**2/7 + 4*f. Solve v(g) = 0.
-3
Let l be (-228)/(-468) + (-2)/13. Let d(p) be the first derivative of -l*p**3 - 1/6*p**2 - 3 - 1/15*p**5 + 0*p - 1/4*p**4. Let d(c) = 0. What is c?
-1, 0
Let j(w) be the first derivative of 4*w**3/3 - 12*w**2 + 32*w - 1. What is l in j(l) = 0?
2, 4
Let n(x) be the third derivative of -x**6/600 + x**4/120 + 3*x**2. Factor n(w).
-w*(w - 1)*(w + 1)/5
Solve 2/9*m**4 - 2/9*m**3 + 0 - 2/9*m**2 + 2/9*m = 0.
-1, 0, 1
Let s(j) be the third derivative of j**8/14112 + j**7/5880 - j**6/1260 - j**5/15 + 5*j**2. Let g(m) be the third derivative of s(m). Factor g(q).
2*(q + 1)*(5*q - 2)/7
Let c(i) = i - 7. Let d be c(9). Let -o**2 - o**3 + o**d + o**2 = 0. What is o?
0, 1
Let j(l) = -l + 1. Let c be j(4). Let t be (2/(-8))/(c/6). Factor -1/4*v - 1/4 - 1/4*v**5 - 1/4*v**4 + 1/2*v**3 + t*v**2.
-(v - 1)**2*(v + 1)**3/4
Let t(k) be the first derivative of k + 1/10*k**5 + k**4 + 4*k**3 - 2 + 8*k**2. Let w(x) be the first derivative of t(x). Factor w(g).
2*(g + 2)**3
What is a in -a**3 - 6*a**2 + 0*a**3 + 6*a**2 = 0?
0
Let 6 + 9/2*x**2 + 12*x = 0. Calculate x.
-2, -2/3
Factor -2/3 - 4/3*h**4 - 14/3*h**3 - 6*h**2 - 10/3*h.
-2*(h + 1)**3*(2*h + 1)/3
Let a(b) be the second derivative of b**6/10 + 9*b**5/20 + b**4/2 + 17*b. Solve a(s) = 0.
-2, -1, 0
Let u(b) be the second derivative of -7*b**5/30 - 5*b**4/6 - b**3 - b**2/3 - 9*b. Suppose u(o) = 0. What is o?
-1, -1/7
What is g in 0*g**3 + 0*g - 1/9 - 1/9*g**4 + 2/9*g**2 = 0?
-1, 1
Let w(n) be the first derivative of -n**6/12 - n**5/10 + n**4/8 + n**3/6 + 9. Suppose w(v) = 0. Calculate v.
-1, 0, 1
Suppose 0*s = 2*s - 18. Suppose -w + 3*r - s = -4*w, 5*w = -3*r + 13. Suppose -4/3 - 2/3*k**w + 2*k = 0. What is k?
1, 2
Factor 4/11*d**3 + 2/11*d**4 + 0*d + 2/11*d**2 + 0.
2*d**2*(d + 1)**2/11
Suppose -15 = -r - 2*r. Let v(y) be the third derivative of -1/270*y**6 + 0*y + 0*y**3 + 1/270*y**r + y**2 + 0*y**4 + 1/945*y**7 + 0. Find i such that v(i) = 0.
0, 1
Let d(z) be the third derivative of z**6/40 + z**5/5 + z**4/2 - 8*z**2. Find b such that d(b) = 0.
-2, 0
Suppose -d = 4*z - 10, 0 = 2*z + 3*z + 4*d - 18. Find o such that 0*o + 1/2*o**4 + 0 + 1/2*o**5 + 0*o**z + 0*o**3 = 0.
-1, 0
Let y(t) be the first derivative of t**5/24 - t**4/6 - t**3/3 - 7*t**2/2 - 4. Let f(p) be the second derivative of y(p). Factor f(k).
(k - 2)*(5*k + 2)/2
Let l = 5 + 11. Let b = l - 13. Factor 1/4*i - 1/2*i**b + 0*i**4 + 0*i**2 + 0 + 1/4*i**5.
i*(i - 1)**2*(i + 1)**2/4
Let p = 3 + -1. Factor p*m**3 + 2*m**2 + 3*m**3 + 27*m**4 - 9*m**4 + 7*m**3.
2*m**2*(3*m + 1)**2
Let m be -3 + (-46)/(-14) + 2/(-7). Factor -2/9*s**3 + m*s**2 + 2/9*s + 0.
-2*s*(s - 1)*(s + 1)/9
Let q(j) be the second derivative of j**4/36 - j**3/9 + j**2/6 - 3*j. Factor q(b).
(b - 1)**2/3
Let c(r) = 4*r + 2*r**2 - 2*r - r - 3. Let x(s) = 8 + 0*s**2 + 0*s**2 - 2*s - s - 5*s**2. Let k(v) = 8*c(v) + 3*x(v). Factor k(z).
z*(z - 1)
Let j(i) be the first derivative of i**7/70 - i**6/40 - 3*i**5/20 + 5*i**4/8 - i**3 - i**2/2 + 3. Let t(z) be the second derivative of j(z). Factor t(x).
3*(x - 1)**3*(x + 2)
Determine l so that -l**3 + 8 + 8 + 3*l - 18 = 0.
-2, 1
Let c(r) be the first derivative of -2/55*r**5 + 1/22*r**4 + 0*r + 2 - 1/11*r**2 + 2/33*r**3. Solve c(m) = 0 for m.
-1, 0, 1
Let v(x) = -10*x**3 + 33*x**2 - 21*x + 3. Let f(s) = 4*s**3 - 16*s**2 + 11*s - 2. Let o(q) = 5*f(q) + 3*v(q). Let o(w) = 0. What is w?
-1/10, 1
Suppose 3*d**4 + 3*d**3 + 16*d + 6*d**3 - 13*d + 13*d**2 - 4*d**2 = 0. What is d?
-1, 0
Suppose 3*d + 3*i + 13 = 8*d, 5*i = 5*d - 15. What is c in -1/4*c**d + 3/2*c - 9/4 = 0?
3
Factor -95*q**3 - 30*q**5 - 12*q + 17*q - 85*q**4 + 20*q**3 - 15*q**2.
-5*q*(q + 1)**3*(6*q - 1)
Suppose 0 = -2*j - 2*h + 6, -4*j - 2*h + 10 = -0*h. Suppose 3*p = -j + 8. Factor 3*f + p*f**2 - 5*f - 5*f**2.
-f*(3*f + 2)
Find i, given that 144/7 - 48/7*i + 4/7*i**2 = 0.
6
Let z be 36/27 - (-4)/(-6). Let n(d) be the second derivative of 2*d**2 - 2*d + 1/12*d**4 + z*d**3 + 0. Suppose n(u) = 0. What is u?
-2
Let t(j) be the first derivative of j**4/6 - 14*j**3/9 + 16*j**2/3 - 8*j + 9. Factor t(c).
2*(c - 3)*(c - 2)**2/3
Suppose -n - 3*x - 1 - 1 = 0, -5*n = -4*x + 48. Let y = n + 11. Factor 2*q**5 - 1 + 2*q**y - 4*q**2 - 4*q + 0*q + q**4 + 4*q**4.
(q - 1)*(q + 1)**3*(2*q + 1)
Factor 0 + 0*r**2 - 1/4*r**3 + 1/4*r.
-r*(r - 1)*(r + 1)/4
Let d = -1/14 - -19/168. Let n(v) be the third derivative of 0*v**3 - 7/240*v**6 + 2*v**2 - 1/24*v**5 + 0*v + d*v**4 + 0. Factor n(g).
-g*(g + 1)*(7*g - 2)/2
Let j = -21 + -3. Let f(k) = k. Let o(r) = r**2 + 10*r. Let s(m) = j*f(m) + 3*o(m). Determine z, given that s(z) = 0.
-2, 0
Let c(p) be the third derivative of p**6/90 - p**5/30 - p**3/6 - 8*p**2. Let v(q) be the first derivative of c(q). Factor v(n).
4*n*(n - 1)
Let l be (-8)/2 + 32/4. Let p(z) be the second derivative of -11/15*z**l - 8/15*z**3 - 3/25*z**6 - 2*z - 12/25*z**5 - 1/5*z**2 + 0. Factor p(x).
-2*(x + 1)**2*(3*x + 1)**2/5
Let w(j) be the first derivative of j**4/16 + j**3/4 - j**2/2 + 35. Factor w(i).
i*(i - 1)*(i + 4)/4
Let t be (-34)/(-6) - (-4)/(-6). Suppose -t*i - s + 13 = -9, 0 = 2*i - 4*s. Find b, given that b**5 + 2*b**5 + 2*b**3 - b**5 - 4*b**i = 0.
0, 1
Let b(p) = 4*p**2 - 16*p + 4. Let q(m) = 12*m**2 - 47*m + 11. Let r = 2 + -13. Let y(f) = r*b(f) + 4*q(f). Factor y(x).
4*x*(x - 3)
Let g be (-9)/(-2) + (-3)/6. Factor 5*d**3 - d**5 + 5*d**2 - g*d**3 + d**4 - 6*d**2.
-d**2*(d - 1)**2*(d + 1)
Let g(x) be the second derivative of 1/3*x**3 + 4*x - 1/6*x**4 + 0 + 0*x**2. Factor g(m).
-2*m*(m - 1)
Let t(a) be the second derivative of a**9/45360 + a**8/6720 + a**7/3780 + a**4/12 - 7*a. Let p(v) be the third derivative of t(v). Factor p(k).
k**2*(k + 1)*(k + 2)/3
Suppose -9*i + 1 - 2*i**2 + 17*i**2 - 9*i**3 + 2*i = 0. What is i?
1/3, 1
Let q(s) be the second derivative of -s**9/1512 + s**7/420 - 2*s**3/3 - 2*s. Let j(v) be the second derivative of q(v). Suppose j(k) = 0. What is k?
-1, 0, 1
Let t be (2 - 15/6)*0. Let w be t/3 - 0 - -4. Suppose -v - 3*v**4 + 4*v**w - 2*v**3 - v**2 + 3*v = 0. What is v?
-1, 0, 1, 2
Let r(w) be the third derivative of w**8/336 + w**7/70 + w**6/120 - w**5/20 - w**4/12 + 2*w**2. Find p such that r(p) = 0.
-2, -1, 0, 1
Let z(w) be the third derivative of -w**5/20 - w**4/4 - w**3/2 - 6*w**2. Factor z(d).
-3*(d + 1)**2
Let x(i) be the first derivative of -i**3/3 + i**2/2 + 4. Let f(m) = -m**3 - 4*m**2 + 5*m. Let t(n) = 2*f(n) - 6*x(n). Determine y, given that t(y) = 0.
-2, 0, 1
Let q(w) be the second derivative of -w**6/30 + 3*w**5/10 + 2*w**4/3 - w**3 - 7*w**2/2 + 2*w - 4. Determine j, given that q(j) = 0.
-1, 1, 7
Let n(j) = -j**2 + 9*j - 4. Let x be n(8). Factor -3*i**x + 3*i**5 + 12*i**4 + 3*i**2 + 0*i**2 + 9*i**3.
3*i**2*(i + 1)**3
Let t = 31 + -27. Let z(u) be the second derivative of -1/7*u**t - 1/70*u**5 + 0*u**2 - 16/147*u**7 - 1/21*u**3 - 2*u + 8/35*u**6 + 0. Factor z(h).
-2*h*(h - 1)**2*(4*h + 1)**2/7
Let s(b) be the third derivative of -b**5/330 + b**4/66 - b**3/33 - 6*b**2. Find w such that s(w) = 0.
1
Let u(v) = 5*v**5 - 7*v**3 + 5*v + 3. Let n(y) = 35*y**5 - 50*y**3 + 35*y + 20. Let x(c) = 3*n(c) - 20*u(c). Factor x(g).
5*g*(g - 1)**2*(g + 1)**2
Suppose 1/5*k - 1/5*k**2 - 1/5*k**3 + 1/5 = 0. What is k?
-1, 1
Let r(k) = 2*k**2 - 13*k - 24. Let g be r(8). Let f(z) be the third derivative of -z**2 - 1/60*z**5 + 0 + 0*z**4 + g*z + 1/6*z**3. Factor f(a).
-(a - 1)*(a + 1)
Let w be (3/(-2))/((-99)/132). Determine h so that -2/9 - 2/9*h**w - 4/9*h = 0.
-1
Let c(u) be the first derivative of -u**4/6 + u**2/3 - 9. Find m such that c(m) = 0.
-1, 0, 1
Let