rst derivative of -c**6/30 - c**5/20 + c**4/12 + c**3/6 + c - 4. Let m(q) be the first derivative of h(q). Solve m(l) = 0 for l.
-1, 0, 1
Let -21*c - 38*c**2 - 40*c**2 + 9 + 84*c**2 = 0. Calculate c.
1/2, 3
Suppose 3 = -4*q + 23. Suppose 0 = -6*b + 3*b + 6. Determine w so that 5*w + 2 - w**5 - 7*w**b - 5*w**q + 5*w + 19*w**2 - 14*w**4 - 4*w**3 = 0.
-1, -1/3, 1
Let z = 2371/15 + -158. Let l(u) be the second derivative of 1/30*u**4 + 0*u**2 + z*u**3 - u + 0. Factor l(n).
2*n*(n + 1)/5
Suppose -25*w**2 - 18*w**3 + 25*w**4 + 20*w**5 - 3*w - 2*w + 3*w**3 = 0. What is w?
-1, -1/4, 0, 1
Let x be 6 + -4 + (-25)/(-1). Let w = x + -79/3. Factor w - d + 1/3*d**2.
(d - 2)*(d - 1)/3
Let y(r) be the second derivative of -r**7/105 + r**5/50 + 2*r. Factor y(b).
-2*b**3*(b - 1)*(b + 1)/5
Suppose -4*b = b - 10. Let l(o) be the first derivative of -2/5*o**5 - 1/2*o**4 + 2/3*o**3 + 0*o + o**b - 2. Determine k, given that l(k) = 0.
-1, 0, 1
Let m(t) = -5*t**2 + 24*t - 36. Let z(n) = 36*n**2 - 168*n + 252. Let w(j) = -15*m(j) - 2*z(j). Factor w(b).
3*(b - 6)*(b - 2)
Let x(n) be the third derivative of -1/12*n**4 - 6*n**2 + 0*n - 2/3*n**3 + 0 + 1/30*n**5. Factor x(q).
2*(q - 2)*(q + 1)
Let r = -38/3 + 14. Factor -r*s - 2/3*s**2 - 2/3.
-2*(s + 1)**2/3
Let b(h) be the first derivative of -3*h**5/5 - 3*h**4/2 + h**3 + 3*h**2 - 9. Solve b(k) = 0.
-2, -1, 0, 1
Let 2/5*n**3 + 0 + 1/5*n**4 - 2/5*n - 1/5*n**2 = 0. Calculate n.
-2, -1, 0, 1
Let x(h) be the third derivative of h**9/80640 + h**8/20160 - h**7/5040 + h**5/15 + 4*h**2. Let l(g) be the third derivative of x(g). Factor l(r).
r*(r + 2)*(3*r - 2)/4
Let m(o) be the first derivative of -6 + o**4 + 16*o**2 + 16*o + 20/3*o**3. Solve m(u) = 0 for u.
-2, -1
Let n(f) be the second derivative of -f**6/40 - 3*f**5/20 - 5*f**4/16 - f**3/4 + f. Suppose n(l) = 0. What is l?
-2, -1, 0
Suppose 15 = -5*y, -5*m + 3*y - 12 = -36. Let -2*v**2 - 2*v**3 + v**m + 2*v**3 + v**2 = 0. What is v?
0, 1
Let c be (-96)/(-44) - (-2)/(-11). Let -1/4*l**3 + 0 + 1/2*l + 1/4*l**c = 0. What is l?
-1, 0, 2
Suppose -35 = -5*b - 10. Let l(v) be the first derivative of 0*v + 0*v**4 - 1/24*v**6 + 1/8*v**2 - 1/6*v**3 + 1/10*v**b - 2. Suppose l(j) = 0. Calculate j.
-1, 0, 1
Let x(q) be the second derivative of -1/126*q**7 + 0*q**4 - 3*q + 0 - 1/60*q**5 - 1/45*q**6 + 0*q**3 + 0*q**2. Factor x(b).
-b**3*(b + 1)**2/3
Let w = 61 - 59. Factor 6/5 + 4/5*q - 2/5*q**w.
-2*(q - 3)*(q + 1)/5
Let n(q) be the first derivative of -2*q**5/5 + q**4 - 4. Solve n(s) = 0.
0, 2
Factor p**3 - p + 3*p - 4*p**2 - p**3 + 2*p**3.
2*p*(p - 1)**2
Determine q, given that 4*q**5 - q**3 - 13*q**3 - 8*q**2 + 2*q**3 = 0.
-1, 0, 2
Let l(c) = -c**2 + 8*c - 4. Suppose 3*y + 7 = 28. Let o be l(y). Find h, given that -2*h**2 - h**o + 8 - 8 = 0.
-2, 0
Let w = -2 + 4. Suppose 5*m = 10, w*g = -5*m + 13 + 3. Solve -g*o + 2*o**2 + 4*o - o**2 = 0.
-1, 0
Let i(v) be the third derivative of -1/15*v**6 + 0*v - 4/15*v**5 + 1/84*v**8 + 1/6*v**4 + 0 + 4/105*v**7 + 4/3*v**3 + 9*v**2. Let i(n) = 0. Calculate n.
-2, -1, 1
Let u = 41 + -38. Let q(x) be the second derivative of 0 + 1/36*x**4 - 1/60*x**5 + 0*x**u - 2*x + 1/126*x**7 - 1/90*x**6 + 0*x**2. Factor q(z).
z**2*(z - 1)**2*(z + 1)/3
Let j(c) be the second derivative of -c**6/135 - c**5/45 - 8*c. Factor j(u).
-2*u**3*(u + 2)/9
Factor -2/3*f**2 - 4/3 + 2*f.
-2*(f - 2)*(f - 1)/3
Let l(g) be the first derivative of -13*g**3 - 36*g**2 + 12*g + 25. Factor l(k).
-3*(k + 2)*(13*k - 2)
Determine u, given that 0 + 1/3*u + 1/3*u**3 - 2/3*u**2 = 0.
0, 1
Let h be (-297)/(-110) + 9/30. Determine j so that 9/4*j**2 + 1 - h*j = 0.
2/3
Suppose 4*u + 0 = 12. Suppose 2*z**2 - 3*z - 4*z**2 + z**u + 3*z = 0. What is z?
0, 2
Suppose -3*i = -3*m - i, 0 = 5*m - i + 7. Let w(b) = -b**2 - 3*b + 4. Let p(q) = -5*q**2 - 12*q + 17. Let t(o) = m*p(o) + 9*w(o). What is n in t(n) = 0?
1, 2
Let b(h) be the third derivative of -h**8/756 - h**7/945 + 7*h**6/540 - h**5/270 - 5*h**4/108 + 2*h**3/27 + 15*h**2. Let b(a) = 0. Calculate a.
-2, -1, 1/2, 1
Let c(z) be the third derivative of -z**7/1155 + z**5/330 - 6*z**2. Suppose c(x) = 0. What is x?
-1, 0, 1
Let h(v) be the second derivative of -v**4/24 - 5*v**3/24 - v**2/4 + 8*v. Determine d, given that h(d) = 0.
-2, -1/2
Suppose -16 = 3*x - 58. Suppose -2*b - 6*j - x = -2*j, -3*b = j - 4. Factor 3*m**3 + m**3 - 2*m**4 - 2*m**b.
-2*m**3*(m - 1)
Factor 0 + 2/7*o**3 - 8/7*o**2 + 0*o.
2*o**2*(o - 4)/7
Let i(j) be the second derivative of -j**5/30 - j**4/6 - 2*j**3/9 + 9*j. Find q such that i(q) = 0.
-2, -1, 0
Let h(s) be the first derivative of 1/2*s**4 + 0*s**3 + 0*s - 2/5*s**5 + 0*s**2 - 3. Factor h(p).
-2*p**3*(p - 1)
Let a(k) be the second derivative of -1/90*k**6 + 2*k + 0*k**4 - 1/9*k**3 + 0 + 1/6*k**2 + 1/30*k**5. Let a(b) = 0. What is b?
-1, 1
Let a(h) be the first derivative of -h**5/110 + h**3/33 + 4*h - 3. Let l(u) be the first derivative of a(u). Find y such that l(y) = 0.
-1, 0, 1
Let l(w) = -3*w**4 - 26*w**3 + 8*w**2 + 26*w - 5. Let k(j) = 3*j**4 + 27*j**3 - 9*j**2 - 27*j + 6. Let r(v) = -5*k(v) - 6*l(v). Factor r(f).
3*f*(f - 1)*(f + 1)*(f + 7)
Suppose u + 8 = -2*j + 2, 0 = 2*u - 4*j - 20. Factor 1/5 - 2/5*r - 3/5*r**u.
-(r + 1)*(3*r - 1)/5
Suppose 0 = -5*f - 4*l - 6, -4*f - 7 = -l + 2. Let o = 5 + f. Solve -3/4*d**2 + 3/4 + 3*d - o*d**3 = 0.
-1, -1/4, 1
Factor 0 + 2/17*r**2 - 6/17*r**4 + 0*r - 4/17*r**3.
-2*r**2*(r + 1)*(3*r - 1)/17
What is w in 12/7*w**3 - 9/7*w**4 + 3/7 + 6/7*w**2 - 12/7*w = 0?
-1, 1/3, 1
Let z(q) = 5*q - 1. Let r be z(1). Suppose 0 - 2*a**4 + 3*a**r - 1 + 0*a**3 - 2*a + 2*a**3 = 0. What is a?
-1, 1
Let k be 2/32 - 432/(-1280). What is g in 2/5*g**2 + 1/5*g + 0 - k*g**4 - 1/5*g**5 + 0*g**3 = 0?
-1, 0, 1
Let n(a) = 2*a**2 - 4. Let i(j) = 6*j**2 - 11. Let s(t) = 4*i(t) - 11*n(t). Solve s(u) = 0 for u.
0
Let w be (2 + -4)*18/4. Let f = 13 + w. Factor -2*k**2 + 1 + 3*k + 2*k**4 + 2*k**4 + 2*k**3 - 3*k**4 - f*k - k**5.
-(k - 1)**3*(k + 1)**2
Let j(y) = -6*y**4 - y**3 - y**2 + 8*y - 7. Let q(d) = -d**4 + d - 1. Let f(x) = -4*j(x) + 28*q(x). Factor f(p).
-4*p*(p - 1)**2*(p + 1)
Let q be 11 + (-12)/(7 - 3). Factor q*r**3 - 7*r**4 + 5*r**4 - 2*r**3 - 4*r**2.
-2*r**2*(r - 2)*(r - 1)
Let o be -1*((-28)/8)/7. Solve 0*s + 0 + 0*s**2 + o*s**3 + 5/4*s**4 = 0 for s.
-2/5, 0
Suppose -8*g + 3*g = -25. Let q = 7 - g. Factor -8/5 - 2/5*c**q + 8/5*c.
-2*(c - 2)**2/5
Let f(k) be the second derivative of 0*k**2 + 0 - 1/80*k**5 - k + 1/12*k**3 + 1/48*k**4. Let f(i) = 0. Calculate i.
-1, 0, 2
Suppose 0*u + 3*u - 12 = 0. Factor 2*s**u + 2*s**2 + 7*s**3 - 4*s**4 - 2*s**4.
-s**2*(s - 2)*(4*s + 1)
Let p be (-11)/156 + (-6)/(-39). Let r(h) be the first derivative of -1 - p*h**3 - 1/4*h**2 + 0*h. Suppose r(t) = 0. What is t?
-2, 0
Let l(j) be the second derivative of 0 + 1/10*j**4 + 0*j**2 - 4*j - 2/15*j**3 - 1/50*j**5. Determine y so that l(y) = 0.
0, 1, 2
What is s in 5/4*s**3 - 5/2 - 5/4*s - 5/4*s**4 + 15/4*s**2 = 0?
-1, 1, 2
Find z, given that 15 - 3*z - 3*z - 15*z + 3*z + 3*z**2 = 0.
1, 5
Let h(n) = n**2 + n - 78. Let o be h(0). Let z be 1/5 - o/210. Factor -z*r**2 + 2/7*r + 0.
-2*r*(2*r - 1)/7
Let u be 2/8 - 7/(-4). Let k be (14 - 12) + (-4)/3. Factor 0*l - 2/3*l**u + 2/3*l**4 + 0 - 2/3*l**5 + k*l**3.
-2*l**2*(l - 1)**2*(l + 1)/3
Solve 0*g + 3/5*g**3 + 0*g**2 + 0 - 3/5*g**5 + 0*g**4 = 0 for g.
-1, 0, 1
Let s(f) be the first derivative of -2*f**3 + 9/5*f**5 + 3/2*f**4 + 1/2*f**6 - 9/2*f**2 - 3*f + 6. Factor s(z).
3*(z - 1)*(z + 1)**4
Let f be (-18)/(-1 + -5) + 22/(-8). Let r(d) be the second derivative of -f*d**3 - 5/72*d**4 + 7/180*d**6 + 0 - 1/6*d**2 + 3/40*d**5 + 3*d. Solve r(p) = 0.
-1, -2/7, 1
Let a be 0/(3/3*-2). Let n(y) be the first derivative of a*y**2 + 2/45*y**5 + 2/27*y**3 - 1/9*y**4 + 0*y + 4. Factor n(o).
2*o**2*(o - 1)**2/9
Let j(c) = -c**2 - 5*c - 1. Let n(o) = -o**2 - 3*o - 1. Let w(r) = 5*j(r) - 7*n(r). Factor w(y).
2*(y - 1)**2
Let f = -8 + 18. Solve 5 + 11*w**4 - 26*w**3 + 3 + f*w**5 + 3*w**4 - 22*w**2 + 16*w = 0.
-2, -1, -2/5, 1
Let p = 1 + -4. Let a = p - -8. Suppose -14*j**5 - a*j**3 + j**2 - j**3 - 24*j**4 + 3*j**2 = 0. What is j?
-1, 0, 2/7
Let u(o) = -5*o. Let b be u(-1). Let g(t) be the second derivative of 3*t + 1/36*t**4 + 0*t**2 + 0 + 0*t**3 + 1/60*t**b. Factor g(m).
m**2*(m + 1)/3
Let n(u) be the se