4 - -41. Let m(g) be the third derivative of 1/60*g**6 + 2*g**2 + 0 + 0*g**4 + 0*g + 0*g**3 - 1/60*g**5 - 1/210*g**l. What is w in m(w) = 0?
0, 1
Let f(x) be the third derivative of x**5/15 + 8*x**4/3 + 10*x**3 - 11*x**2. Factor f(i).
4*(i + 1)*(i + 15)
What is a in 2*a - 2 - a**3 + 2*a**2 - a**3 + 4 - 4*a**2 = 0?
-1, 1
Suppose 1/10*s - 1/5 + 1/10*s**2 = 0. Calculate s.
-2, 1
Factor 40*d**2 - 10*d**3 + 5*d**3 - 20*d - 8*d**3 - 2*d**3.
-5*d*(d - 2)*(3*d - 2)
Let w be (-15)/(-4)*(15 + -7). Let z be ((-4)/(-50))/(6/w). Determine q, given that -1/5*q**2 + 0 - z*q = 0.
-2, 0
Let n(w) be the first derivative of -w**3/6 + w**2/2 + 3*w/2 - 1. Factor n(b).
-(b - 3)*(b + 1)/2
Let c(d) be the first derivative of d**6/30 - d**4/10 + d**2/10 - 12. What is h in c(h) = 0?
-1, 0, 1
Let r(w) be the first derivative of w**5/60 - w**4/6 + 2*w**3/3 + 3*w**2/2 - 6. Let h(q) be the second derivative of r(q). Factor h(f).
(f - 2)**2
Suppose 4*y + 28 = 2*d, 25 = -2*y - 3*y. Suppose -2*i + 9 = 3*q, 9*i = d*i + q - 3. Find x, given that -3/4*x**3 - 9/4*x**2 + i - 3/2*x = 0.
-2, -1, 0
Let a(o) be the second derivative of o**6/40 + 3*o**5/80 - o**4/16 - o**3/8 - 13*o. Find w such that a(w) = 0.
-1, 0, 1
Factor -2/13*f**4 + 0*f**2 + 4/13*f**3 + 2/13 - 4/13*f.
-2*(f - 1)**3*(f + 1)/13
Let i(j) be the first derivative of 2*j**5/5 - 10*j**3/3 + 8*j + 19. Find k, given that i(k) = 0.
-2, -1, 1, 2
Let c be 45/(-3)*2/6. Let p = c - -9. Determine z so that 2/3*z**p + 3*z**2 + 5/3*z + 7/3*z**3 + 1/3 = 0.
-1, -1/2
Let h(y) = -y + 12. Let t be h(10). Factor -1 - t*o**2 + 1 - 4 - 6*o.
-2*(o + 1)*(o + 2)
Let i be 226/8 + 0 + 4. Let v = -32 + i. Factor 5/4*s - s**2 - v.
-(s - 1)*(4*s - 1)/4
Let r(b) be the first derivative of -4*b**5/5 + b**4 + 8*b**3/3 + 20. Let r(l) = 0. Calculate l.
-1, 0, 2
Let d(k) be the third derivative of k**6/660 + k**5/165 + k**4/132 - 10*k**2. Factor d(m).
2*m*(m + 1)**2/11
Suppose r - 3 = 2*k + 3, -4*k = 5*r + 12. Factor -2*o + r*o**4 + o**2 - 2 - o + 3*o**4 + 3*o**3 - 2*o**4.
(o - 1)*(o + 1)**2*(o + 2)
Suppose -2*l + 2*m = -5*l + 16, 4*m - 14 = 3*l. Find r, given that -3*r + r + 4*r - r**l = 0.
0, 2
Let f(z) = -z**2 - 25*z - 4. Let l(w) be the third derivative of -w**5/30 - w**4 - 2*w**3/3 - w**2. Let d(t) = 6*f(t) - 7*l(t). Factor d(p).
2*(p + 2)*(4*p + 1)
Let 192/5*j**2 + 3888/5*j**4 - 1296/5*j**3 - 32/15*j - 4374/5*j**5 + 0 = 0. Calculate j.
0, 2/9
Let t(z) be the third derivative of -z**6/16 - 9*z**5/20 - 7*z**4/16 + 3*z**3/2 + 13*z**2. Determine v so that t(v) = 0.
-3, -1, 2/5
Suppose -5*s = s + 6. Let n be 21/9 + -3 - s. Factor 1/3*l**4 + l**2 - n*l + 0 - l**3.
l*(l - 1)**3/3
Solve -20*z**4 - 25*z**4 - 2*z**3 + 4*z**2 + 39*z**4 = 0.
-1, 0, 2/3
Let m(y) be the second derivative of y**7/14 + 3*y**6/10 - 3*y**5/4 - 3*y**4/4 + 2*y**3 + 22*y. Factor m(q).
3*q*(q - 1)**2*(q + 1)*(q + 4)
Let r be 2/(-8) + 3/(-4). Let n = 4 - r. Find h such that 7*h**4 - 6*h**2 - 1 + n*h + 0*h**3 - 2*h**3 + 2*h**5 - 5*h**5 = 0.
-1, 1/3, 1
Let t(i) be the third derivative of -i**6/24 + 5*i**4/2 - 40*i**3/3 - 46*i**2. Determine m, given that t(m) = 0.
-4, 2
Let m(j) be the first derivative of 5*j**4/16 + 5*j**3/12 + 7. Solve m(b) = 0.
-1, 0
Let d(l) be the first derivative of 19/22*l**4 + 3/11*l**6 - 28/11*l**2 - 2 + 16/11*l + 4/3*l**3 - 12/11*l**5. Determine a, given that d(a) = 0.
-1, 2/3, 1, 2
Suppose -4*z = 3*d - 4, 3*z = -3*d + 2*d + 8. Let v = d - -4. What is k in v + 2/13*k**5 + 2/13*k**2 + 6/13*k**3 + 0*k + 6/13*k**4 = 0?
-1, 0
Suppose 0*o - 4 = 4*l - 4*o, -2*l - 16 = 5*o. Let v be (-1)/(l/9 - 0). Factor 0 + 2/7*p - 6/7*p**2 - 2/7*p**4 + 6/7*p**v.
-2*p*(p - 1)**3/7
Let v(m) be the third derivative of m**5/30 + 3*m**2. Let i be v(1). Factor -4*a - 10*a**3 + 9*a**3 + 7*a**i - 3*a**2.
-a*(a - 2)**2
Let n(l) be the first derivative of 4*l**3/3 + 10*l**2 + 16*l + 73. Find m such that n(m) = 0.
-4, -1
Let m(n) be the first derivative of 8*n**5/45 + 13*n**4/18 + 22*n**3/27 + 2*n**2/9 - 66. Solve m(g) = 0.
-2, -1, -1/4, 0
What is q in 5 - 3 - q**3 - 5*q**2 + 279*q**4 - 276*q**4 + q = 0?
-1, -2/3, 1
Find l, given that -12/7*l**3 + 8/7 + 2/7*l**4 + 26/7*l**2 - 24/7*l = 0.
1, 2
Let l(r) be the first derivative of r**4/6 - 2*r**3/9 - 2*r**2/3 - 6. What is q in l(q) = 0?
-1, 0, 2
Let r(c) = 4*c**4 - 6*c**3 + 2*c - 3. Let z(q) = q**4 - q**3 - q**2 + q - 1. Let w(a) = r(a) - 3*z(a). Let w(n) = 0. What is n?
0, 1
Let h(q) be the first derivative of -5*q**4 - 6*q**2 + 6/5*q**5 + 2*q - 8 + 8*q**3. Determine j, given that h(j) = 0.
1/3, 1
Let j(g) = -3*g**4 - 17*g**3 + 20*g**2 + 17. Let m = -9 + -8. Let n(l) = -l**4 - 6*l**3 + 7*l**2 + 6. Let i(p) = m*n(p) + 6*j(p). Find a, given that i(a) = 0.
-1, 0, 1
Let q(p) = -p + p - 1 - 2*p + 0*p. Let c be q(-1). Factor -z**2 + z**2 - c + z**2.
(z - 1)*(z + 1)
Suppose 2*n + 0*p - 2*p - 18 = 0, 3*n = p + 17. Factor 10*j**2 + 36 - 32*j - 2*j**2 + 28 - n*j**2.
4*(j - 4)**2
Let v(h) be the second derivative of h**4/54 - h**3/9 + 2*h**2/9 - 10*h. Solve v(x) = 0.
1, 2
Determine y, given that 4/5*y**4 - 2/5*y**5 + 2/5*y + 0*y**3 + 0 - 4/5*y**2 = 0.
-1, 0, 1
Let c = 65 - 65. Let d(i) be the first derivative of 0*i**2 + 2/25*i**5 + c*i - 1 + 1/5*i**4 + 2/15*i**3. Determine z so that d(z) = 0.
-1, 0
Let t(c) = 5*c**2 - 6*c + 1. Let h(s) = 6*s**2 - 7*s + 1. Let v(a) = -4*h(a) + 5*t(a). Factor v(z).
(z - 1)**2
Let 3*g + 2/3*g**2 - 2*g**4 - 8/3*g**3 - 1/3*g**5 + 4/3 = 0. What is g?
-4, -1, 1
Let j be (-20)/(-6) + 6/9. Suppose -y + j = y. Factor -1 + 7*f**y - 6*f**2 + 0*f**2.
(f - 1)*(f + 1)
Let q(f) = 93*f**4 - 229*f**3 + 205*f**2 - 68*f - 1. Let y(s) = -46*s**4 + 114*s**3 - 102*s**2 + 34*s. Let t(w) = -4*q(w) - 9*y(w). Solve t(x) = 0.
2/7, 1/3, 1
Suppose 0 = 9*h + 59*h - 136. Find v such that 3/2*v + 3/2*v**h + 0 = 0.
-1, 0
Let a(q) = -q**2 + 1. Let v(f) be the second derivative of -f**5/20 - f**4/12 - f**3/2 - 3*f**2/2 + 3*f. Let y(b) = -4*a(b) - 2*v(b). Factor y(i).
2*(i + 1)**3
Let d(g) = -6*g**2. Let t be d(-1). Let b = 8 + t. Factor 9*s - s - 2*s**b + 0*s**2 - 8.
-2*(s - 2)**2
Let a(v) be the third derivative of -v**10/151200 + v**9/60480 + v**5/30 + v**2. Let d(y) be the third derivative of a(y). Find z, given that d(z) = 0.
0, 1
Let n(t) be the second derivative of -t**6/120 - t**5/60 + t**4/12 - 2*t**2 - 2*t. Let c(s) be the first derivative of n(s). Solve c(r) = 0.
-2, 0, 1
Suppose 0 = 2*y - 0*y. Let r be y/(-3) + (-4)/(-2). What is o in 0 - 5/4*o**3 + 1/2*o + 3/4*o**r = 0?
-2/5, 0, 1
Let v(g) = -2*g**2 - 4*g + 1. Let f = -4 + 9. Let y(s) = -9*s**2 - 21*s + 6. Let r(t) = f*y(t) - 24*v(t). Solve r(a) = 0.
1, 2
Let l = 32/39 - 2/13. Determine s so that 5/3*s**3 + s**2 - l*s + 0 = 0.
-1, 0, 2/5
Let p(v) = v - 3 + 6*v + 3*v**3 + 2*v + 7*v**2. Let t(q) = -3*q**3 - 7*q**2 - 10*q + 4. Let a = 12 - 8. Let u(w) = a*t(w) + 5*p(w). Factor u(m).
(m + 1)**2*(3*m + 1)
Let j(c) be the first derivative of c**4/16 - c**3/12 - c**2/8 + c/4 - 8. Find u, given that j(u) = 0.
-1, 1
Let a(m) be the third derivative of m**8/2240 - m**6/80 - m**5/20 + m**4/8 - 7*m**2. Let n(h) be the second derivative of a(h). Factor n(j).
3*(j - 2)*(j + 1)**2
Let o = -6 + 6. Suppose -3*d - x + 14 = 0, -15 = -3*x - o. Suppose -4/7*t**d - 6/7*t**4 + 6/7*t + 4/7*t**2 + 2/7 - 2/7*t**5 = 0. What is t?
-1, 1
Let g(l) be the third derivative of -l**7/420 - l**6/60 - l**5/24 - l**4/24 - 17*l**2. Factor g(u).
-u*(u + 1)**2*(u + 2)/2
Let i(q) be the first derivative of -q**4 + 2*q**2 + 16. Factor i(p).
-4*p*(p - 1)*(p + 1)
Find f, given that 0 - 4/5*f**3 - 2/5*f**4 + 0*f - 2/5*f**2 = 0.
-1, 0
Let f(x) be the third derivative of x**5/45 + x**4/12 - 2*x**3/9 - 12*x**2. Factor f(m).
2*(m + 2)*(2*m - 1)/3
Let b(k) = -4*k**2 - 4*k + 3. Suppose r - 3 = 1. Let y(u) = 9*u**2 - 4*u + 9*u - 4*u**2 - 4. Let x(q) = r*b(q) + 3*y(q). Let x(g) = 0. What is g?
-1, 0
Let y = 5 - 3. Suppose 0 = y*t - 3*t + 2. Factor 1 - 2 + t*f - f**2 + 0*f.
-(f - 1)**2
Let f(y) be the third derivative of -y**7/2520 + y**6/360 - y**5/120 + y**4/24 + 2*y**2. Let j(x) be the second derivative of f(x). Let j(z) = 0. Calculate z.
1
Let a = 27/26 + 6/13. Solve 0*j + 0 + a*j**2 - 6*j**3 = 0 for j.
0, 1/4
Factor -5/2*q - 5/2*q**3 - 5*q**2 + 0.
-5*q*(q + 1)**2/2
Find k, given that -5*k + 12*k + k**2 - k**3 - k**4 - 3*k - 3*k = 0.
-1, 0