e the first derivative of -3*g**5/5 + 5*g**4/4 - 2*g**3/3 + 10. Factor z(c).
-c**2*(c - 1)*(3*c - 2)
Suppose p = -0*p + 2. Let t = 40/21 + -11/7. Solve 0*z - 1/3 + t*z**p = 0 for z.
-1, 1
Suppose -6 + 1 = i. Let r be (1/5)/((-2)/i). What is c in -1/4*c**4 + 0*c + 0*c**3 + r*c**2 - 1/4 = 0?
-1, 1
Let j(x) be the first derivative of x**5/5 - x**4/4 - x**3 + x**2/2 + 2*x - 35. Factor j(b).
(b - 2)*(b - 1)*(b + 1)**2
Solve -10 - 10*i - 5/2*i**2 = 0.
-2
Let t(b) be the third derivative of b**8/8400 - b**7/2520 + b**6/3600 + b**4/12 - 4*b**2. Let p(f) be the second derivative of t(f). Factor p(q).
q*(q - 1)*(4*q - 1)/5
Let i(f) be the third derivative of 0*f + 0 + 1/945*f**7 + 1/54*f**4 + 2*f**2 - 1/27*f**3 - 1/270*f**6 + 0*f**5. Suppose i(z) = 0. What is z?
-1, 1
What is i in 17 + 3*i**2 + 24*i - 3*i**5 - 1 - 4 - 15*i**4 - 21*i**3 = 0?
-2, -1, 1
Factor -10*s**2 - 15*s + 106*s**3 - 203*s**3 + 102*s**3 + 0*s**2.
5*s*(s - 3)*(s + 1)
Let 21/2*c**5 + 57/2*c**4 + 0*c - 6*c**2 + 12*c**3 + 0 = 0. Calculate c.
-2, -1, 0, 2/7
Let r(s) = -s**2 - 5*s - 6. Let y be r(-3). Let p(a) be the second derivative of -1/18*a**4 + y*a**3 - 2*a + 1/3*a**2 + 0. Find x such that p(x) = 0.
-1, 1
Suppose 6*v = 2*v + 76. Suppose 0 = -v*r + 16*r. Find f, given that 0*f**2 + 0 - 1/3*f**5 + r*f**4 + 2/3*f**3 - 1/3*f = 0.
-1, 0, 1
Let q(i) be the second derivative of i**7/147 + 2*i**6/105 - i**4/21 - i**3/21 - 5*i. Let q(x) = 0. Calculate x.
-1, 0, 1
Let s(r) be the third derivative of -r**5/20 + 3*r**4/2 - 5*r**2 - 3. Solve s(x) = 0.
0, 12
Let o(z) be the second derivative of -3*z + 0 + 0*z**2 + 1/10*z**5 + 4/3*z**3 - 2/3*z**4. Suppose o(x) = 0. Calculate x.
0, 2
Suppose -29 = -7*d + 2*d + 4*z, 5*z = -d. Factor d - 2 + 5*n - 2*n + 3*n**2 - 9.
3*(n - 1)*(n + 2)
Find n, given that 2/5*n - 2/5*n**3 + 2/5*n**2 - 2/5 = 0.
-1, 1
Let z(r) be the first derivative of -2*r**5/35 + 3*r**4/7 - 2*r**3/21 - 24*r**2/7 - 32*r/7 - 3. Factor z(g).
-2*(g - 4)**2*(g + 1)**2/7
Suppose -2*g = 0, -5*g = 2*s + 2 - 8. Suppose 0*r - 2 = -3*f - r, s*r - 1 = -4*f. Let -1 - f + 2 + c**2 - c = 0. What is c?
0, 1
Let a(n) be the third derivative of n**6/300 + n**5/15 + n**4/5 - 24*n**3/5 - 11*n**2. Factor a(r).
2*(r - 2)*(r + 6)**2/5
Let d be 2/(-1)*(-3 - -1). Factor 9*p + 18*p**2 - d + 4*p + p.
2*(p + 1)*(9*p - 2)
Suppose 0 = b + 1 - 10. Suppose -z - 3 + 0 = 0, 3*z + b = 2*l. Solve l - 1/2*v + 0*v**2 + 1/2*v**3 = 0 for v.
-1, 0, 1
Let s(i) = 14*i**5 - 18*i**4 + 204*i**3 - 552*i**2 + 798*i - 498. Let u(v) = v**5 + v**4 + 2*v**3 - v**2 - v - 1. Let m(b) = -s(b) + 12*u(b). Factor m(p).
-2*(p - 3)**5
Let p(k) = k**3 - 6*k**2 + 3*k - 4. Let i be p(6). Let f be 6/16*i/21. Find j such that 1/4*j**2 + 0 - f*j = 0.
0, 1
Let h(a) be the second derivative of -1/60*a**5 + 0 + 0*a**2 - 3*a - 1/9*a**3 - 1/12*a**4. Solve h(x) = 0.
-2, -1, 0
Let l be 2/3 - (-1 - -1). Let j be 4/(-10)*20/(-12). Solve 0*r + j*r**2 - l = 0 for r.
-1, 1
Suppose -8 = -5*h + 82. Let n = h + -13. Factor -n*x + 3*x + x**2 + x**2.
2*x*(x - 1)
Let j = -182 - -182. Solve -2/11*t**2 - 2/11*t + j = 0 for t.
-1, 0
Find a such that -2*a**3 - 2*a**2 + 4*a**2 + 0*a**3 = 0.
0, 1
Let c(f) be the second derivative of f**5/110 - f**4/11 + 3*f**3/11 + 7*f. Factor c(r).
2*r*(r - 3)**2/11
Let m(o) be the second derivative of o**4/12 - 2*o**3/3 + 3*o**2/2 + 16*o. Factor m(a).
(a - 3)*(a - 1)
Suppose 0*t + 8 = -4*t. Let o(f) = -22*f**3 + 22*f**2 - 2*f. Let z(n) = -43*n**3 + 45*n**2 - 3*n. Let r(s) = t*z(s) + 5*o(s). Suppose r(p) = 0. Calculate p.
0, 1/3, 1/2
Let o(r) = r**5 - 10*r**3 - 8*r**2 - 3*r + 2. Let g(k) = 2*k**5 - 21*k**3 - 17*k**2 - 7*k + 4. Let b(m) = -6*g(m) + 13*o(m). Solve b(d) = 0 for d.
-1, 1, 2
Let r be 1 + -4 - (-106)/36. Let q = r - -5/18. Factor q*s**2 + 4/9 + 2/3*s.
2*(s + 1)*(s + 2)/9
Let w = -250/3 + 84. Factor 0 + 4/3*q**2 - w*q**3 - 2/3*q.
-2*q*(q - 1)**2/3
Let f = 49 - 145/3. Let q(c) be the second derivative of 0*c**2 - f*c**4 - 4/3*c**3 + 3/10*c**5 + 3*c + 0. Suppose q(i) = 0. Calculate i.
-2/3, 0, 2
Let c(q) be the second derivative of q**5/20 + q**4/2 + 2*q**3/3 - q**2 + 4*q. Let u be c(-5). Let -v**2 + v + 2*v**2 - u*v**2 - 2 + 3*v**2 = 0. Calculate v.
-2, 1
Factor 2*c - 3 - c**2 + 5 + 2 - 5.
-(c - 1)**2
Let r(v) be the second derivative of -2/3*v**3 + 0*v**2 - 5/6*v**4 - 3/10*v**5 + 5*v + 0. Solve r(o) = 0 for o.
-1, -2/3, 0
Let y(l) be the second derivative of -3*l**5/10 - l**4/6 + l**3 + l**2 + 26*l. Let y(d) = 0. What is d?
-1, -1/3, 1
Let w = 13 - 8. Suppose 4*k = w*y - 18, -y - 2*k = -0*y + 2. Suppose -2 - 3 + 6*c - y*c**3 + 1 + 0 = 0. Calculate c.
-2, 1
Let i(x) be the first derivative of 2*x**3/9 + x**2/3 - 4. Find f such that i(f) = 0.
-1, 0
Suppose c + 1 = 4. Suppose -4*n + 12 = -2*n + c*j, j = 4*n - 24. Let o**4 - 6*o**5 - 14*o**3 - n*o**4 - 11*o**4 + 2*o**3 + 2*o = 0. Calculate o.
-1, 0, 1/3
Let l(q) be the second derivative of -q**7/168 + q**6/24 - q**5/80 - 7*q**4/16 + 3*q**3/4 - 6*q. Solve l(j) = 0.
-2, 0, 1, 3
Let h be (-4)/(-6) - 110/1380. Let s = -2/23 + h. Let 1/2*u**5 - u**3 + s*u + u**2 - 1/2 - 1/2*u**4 = 0. What is u?
-1, 1
Let c = 5 + -2. Suppose -6*n + 2*n - n**c + 3*n**2 + 0*n**3 + n + 1 = 0. What is n?
1
Factor -26*k - 12 - 9 + 15 - 8*k**2.
-2*(k + 3)*(4*k + 1)
Let t(n) be the third derivative of 1/21*n**3 + n**2 - 1/84*n**4 - 1/210*n**5 + 0 + 1/420*n**6 + 0*n. Factor t(u).
2*(u - 1)**2*(u + 1)/7
Let v(u) be the third derivative of 0*u**6 + 1/840*u**8 + 0*u**5 + 1/525*u**7 - u**2 + 0 + 0*u + 0*u**4 + 0*u**3. What is j in v(j) = 0?
-1, 0
Let k = 52 - 50. Suppose 0*s - 1/3*s**k + 1/3 = 0. Calculate s.
-1, 1
Factor 0*v**2 + 0*v + 4*v**3 + 8*v - 9*v**2 - 3*v**2.
4*v*(v - 2)*(v - 1)
Let u(y) be the third derivative of -y**6/60 + 7*y**5/30 - 5*y**4/4 + 3*y**3 + 61*y**2. Factor u(s).
-2*(s - 3)**2*(s - 1)
Suppose 0 = -4*i + 4*v + 12, 5*v - 3 = -8. Let s(c) be the first derivative of 2/9*c**3 - 4/3*c**i + 1 + 2/3*c**4 - 2/3*c. Factor s(z).
2*(z - 1)*(z + 1)*(4*z + 1)/3
Let 11*t + t**4 + 13*t**4 + 18*t**3 - 9*t + 4*t**5 + 10*t**2 = 0. Calculate t.
-1, -1/2, 0
Let s = -385384/245 + 1573. Let r(a) be the third derivative of -1/140*a**6 - s*a**7 + a**2 - 1/1176*a**8 + 0*a - 1/210*a**5 + 0*a**3 + 0*a**4 + 0. Factor r(d).
-2*d**2*(d + 1)**3/7
Let n be 5 - ((-1)/(-1))/(-1). Suppose -c = -n*c + 10. What is g in 0 - 1/2*g - 1/2*g**c = 0?
-1, 0
Let m be (9/4 + -2)/((-50)/(-40)). Determine s so that m*s**2 + 2/5*s + 0 = 0.
-2, 0
Suppose -2*s - h + 1 = 0, -s - h + 2*h = -8. Determine i so that i**4 - i**3 + 2*i**3 + i**s = 0.
-2, 0
Let v(z) be the third derivative of z**5/160 + 5*z**4/8 + 25*z**3 - 4*z**2 - 3*z. Factor v(k).
3*(k + 20)**2/8
Factor 2*y**2 + 8/5 - 2/5*y**3 - 16/5*y.
-2*(y - 2)**2*(y - 1)/5
Let q(p) = -14*p**4 + 12*p**3 + 26*p**2 + 5*p - 29. Let m(s) = 5*s**4 - 4*s**3 - 9*s**2 - 2*s + 10. Let u(d) = -17*m(d) - 6*q(d). Find j, given that u(j) = 0.
-2, -1, 1
Find w, given that -4/7*w + 2/7*w**4 + 4/7*w**3 + 0*w**2 - 2/7 = 0.
-1, 1
Let x(r) be the first derivative of -4/3*r + 4/9*r**3 - r**2 - 7. Solve x(b) = 0.
-1/2, 2
Let r(c) = c**4 - 6*c**3 + 9*c**2 - 5*c. Let v(b) = -b**4 + 6*b**3 - 10*b**2 + 6*b. Let s be 0 - (3 - 5 - -4). Let z(w) = s*r(w) - 3*v(w). Factor z(u).
u*(u - 2)**3
Let r(w) be the third derivative of w**5/120 + w**4/48 + 6*w**2. Determine d so that r(d) = 0.
-1, 0
Let f(d) be the second derivative of 0 + 1/5*d**6 + 0*d**4 - 1/14*d**7 - 3/20*d**5 + 0*d**2 + 0*d**3 - 2*d. Find r, given that f(r) = 0.
0, 1
Suppose 2*o = 2*d + 6, 0 = 4*d - 2*o + 2. Let n be 3/((-36)/16) + d. Suppose 0*a - 1/3 + 0*a**3 + n*a**2 - 1/3*a**4 = 0. What is a?
-1, 1
Let y(z) = -4*z - 4. Let g be y(-6). Suppose 2*x - 7*x = -g. Suppose 0 - 2/3*a**x + 0*a**3 + 0*a**2 + 0*a = 0. What is a?
0
Let j(i) be the second derivative of 1/18*i**4 + 4*i + 0*i**2 + 0 + 0*i**3. Factor j(h).
2*h**2/3
Let g be 7/3 + 2/(-6). Let v = g - -1. Determine d, given that -4*d**2 - 8*d**3 - 5*d**3 - d**3 + 0*d**v = 0.
-2/7, 0
Determine m, given that -2/3 - m - 1/3*m**2 = 0.
-2, -1
Let j(n) be the first derivative of 2*n**6/3 - 8*n**5/5 + n**4 - 6. Suppose j(u) = 0. Calculate u.
0, 1
Solve -10 - 5*z**3 + 10*z**2 + 0*z**2 - 271*z + 276*z = 0 for z.
-1, 1, 2
Let c be (-2)/10 + 44/(-5). Let p be 9 + c + (-1)/(-3). Factor n + 2/3 + p*n**2.
(n + 1)*(n + 2)/3