60 + r**4/2 + 6*r. Let c(z) be the third derivative of j(z). Find m such that c(m) = 0.
0, 1
Suppose -a - 2 = -3*f + 2, -5*f + 20 = -5*a. Suppose -d - 2*c = 3*d - 6, -3*d - c + 5 = f. Factor 3*v + d*v**2 + 0*v**3 - 2*v**3 - 2*v**4 - v.
-2*v*(v - 1)*(v + 1)**2
Let u(t) be the third derivative of t**7/210 - t**6/240 - t**5/120 + 29*t**2. Determine y so that u(y) = 0.
-1/2, 0, 1
What is h in 0*h + 0 + 1/3*h**5 - 1/3*h**3 + 0*h**4 + 0*h**2 = 0?
-1, 0, 1
Let q(d) be the first derivative of d**5/10 - d**4/8 - 20. Solve q(l) = 0.
0, 1
Let z(c) be the first derivative of c**4 - 4*c**3/3 - 2*c**2 + 4*c - 9. Factor z(t).
4*(t - 1)**2*(t + 1)
Let d(q) = -69*q**4 - 191*q**3 - 204*q**2 - 81*q + 1. Let n(k) = -k**4 + k**3 - k + 1. Let x(c) = -d(c) + 5*n(c). Determine s so that x(s) = 0.
-1, -1/16
Let p(j) be the second derivative of j**4/4 + j**3/2 - 3*j**2 - 28*j. Solve p(r) = 0 for r.
-2, 1
Let a be (-312)/54 + 4 + 2. Find c, given that 0 - a*c**2 + 4/9*c = 0.
0, 2
Let f be 67/13 - 14/91. Factor 0*c**2 - f*c**2 + 4*c + c**2.
-4*c*(c - 1)
Let k(n) = -2*n**2 + 5*n + 3. Let a(y) = y**2 - y - 1. Let j(c) = -6*a(c) - 2*k(c). Determine s, given that j(s) = 0.
-2, 0
Suppose -q = -3*q. Suppose 0 = 35*g - 32*g - 6. Determine i, given that 2/3*i**g - 2/3*i + q = 0.
0, 1
Factor -50/23*m**2 - 80/23*m - 32/23.
-2*(5*m + 4)**2/23
Let f(k) be the second derivative of -k**7/42 - 2*k**6/15 - 3*k**5/20 - 12*k. Factor f(t).
-t**3*(t + 1)*(t + 3)
Let d = 6 - -30. Factor -d*x**3 - 12 - x**5 + 6 - x**5 - 14*x**4 - 44*x**2 - 26*x.
-2*(x + 1)**4*(x + 3)
Let l(o) be the first derivative of 3*o**5/25 - 2*o**4/5 + o**3/5 + o**2/5 + 27. Factor l(d).
d*(d - 2)*(d - 1)*(3*d + 1)/5
Suppose 2*p + 10 = p - 2*k, -3*k - 15 = p. Let a = 51/92 + -7/23. Suppose 0 + p*l**2 - 1/4*l + a*l**3 = 0. What is l?
-1, 0, 1
Suppose 10*o - 52 = 38. Let d(y) be the first derivative of -3/2*y**2 - 3/2*y**6 - o*y**4 + 0*y - 6*y**3 + 1 - 6*y**5. Solve d(i) = 0.
-1, -1/3, 0
Let g(y) be the second derivative of y**4/4 + y**3 - 9*y**2/2 - 14*y. Factor g(s).
3*(s - 1)*(s + 3)
Let c(o) be the third derivative of o**6/200 - o**5/100 - o**4/40 + o**3/10 + 21*o**2. Factor c(z).
3*(z - 1)**2*(z + 1)/5
Factor -4/3*f + 6/5 + 2/15*f**2.
2*(f - 9)*(f - 1)/15
Suppose 5/2*w**2 + 2 - 4*w - 1/2*w**3 = 0. What is w?
1, 2
Let a(s) be the first derivative of -s**4/16 - 5*s**3/6 - 7*s**2/2 - 6*s - 30. Factor a(b).
-(b + 2)**2*(b + 6)/4
Suppose 12*v - 15 = 9*v. Suppose v*f + d = 10, f - 2 = 2*d + 3*d. Solve -14/3*r**3 - 11/3*r**4 - r**5 + 1/3 + 1/3*r - f*r**2 = 0 for r.
-1, 1/3
Let x = -18 - -34. Suppose -x = -3*u - 7. Find b such that -16/3*b + 490/3*b**4 - 24*b**2 + 28*b**u + 0 = 0.
-2/7, 0, 2/5
Let j = 6 - 4. Suppose c + 2*b = 6, 0 = c + 2*b + 2*b - 12. Factor 1/4*l**3 - 1/2*l**j + c + 1/4*l.
l*(l - 1)**2/4
Determine n, given that -8/7 - 2/7*n**2 - 10/7*n = 0.
-4, -1
Let v(p) = p**2 + p + 1. Let q(m) = -480*m**2 - 84*m. Let i(g) = q(g) - 4*v(g). Factor i(f).
-4*(11*f + 1)**2
Find z, given that -6*z + 17*z**2 - 4 - 17*z**2 + 2*z**3 = 0.
-1, 2
Let o(b) = b**2 + b + 2. Suppose 0*g + 1 = -g, -1 = 3*q + g. Let w be o(q). Factor 0*h**w + h**3 + h + 4*h**2 - 2*h**2.
h*(h + 1)**2
Let p be (4/3)/((-8)/(-12)). Solve -9*f - 2*f**2 - 3*f**2 + f + 9*f**p = 0 for f.
0, 2
Suppose -5*x**2 - 198*x + 5*x**4 + 198*x = 0. Calculate x.
-1, 0, 1
Factor -6*l**2 + l**2 - 4*l - 3*l**2 - 4*l**3 + 0*l.
-4*l*(l + 1)**2
Let n = 51 + -48. Find w, given that 0 + 4/5*w**n + 0*w - 2/5*w**4 - 2/5*w**2 = 0.
0, 1
Let m(p) be the third derivative of 1/32*p**4 - 1/70*p**7 + 1/120*p**6 + 0*p - 1/12*p**3 - 1/192*p**8 + 3*p**2 + 7/120*p**5 + 0. Let m(v) = 0. Calculate v.
-1, 2/7, 1
Let y(j) be the second derivative of j**4/6 - j**3/3 - 2*j**2 - 4*j. Find z, given that y(z) = 0.
-1, 2
Factor -2*l**3 + 134 - 3*l**3 - 54 - 40*l - 35*l**2.
-5*(l - 1)*(l + 4)**2
Let y(b) = 2*b - 5. Let a be y(5). Solve -3*w**2 - w + 2*w**3 - a*w**3 - 2*w**2 - w**4 + 2*w**2 = 0 for w.
-1, 0
Let x = 15 + -12. Suppose 2/3*k**2 - 2/3 + 7/3*k - 7/3*k**x = 0. Calculate k.
-1, 2/7, 1
Let j(o) be the first derivative of -o**4 - 20*o**3/3 - 14*o**2 - 12*o + 5. Let j(t) = 0. Calculate t.
-3, -1
Let w(l) = 3*l**4 - 8*l**3 + 8*l**2 - 3*l. Let j(g) = -g**4 + 3*g**3 - 3*g**2 + g. Let b(p) = -11*j(p) - 4*w(p). Solve b(h) = 0.
-1, 0, 1
Let m be 323/399 + 4/(-6). Let j(y) be the first derivative of -1 - 4/35*y**5 + 3/14*y**4 + 0*y**3 + 0*y - m*y**2. Let j(i) = 0. What is i?
-1/2, 0, 1
Suppose 6*g = g - 420. Let k be (-32)/g + 2/7. Factor -2/3 - k*h**2 - 4/3*h.
-2*(h + 1)**2/3
Let z be 15/10*(-6)/(-3). Suppose -1 + 4*t**2 + 2 - z - 2*t**3 - 6*t - 10*t**2 = 0. What is t?
-1
Let p be (-1 - 7)/((-4)/2). Let g(a) = a**2 - 6*a - 8. Let n be g(8). Factor -p*h**2 - 2*h - 2*h**3 + n*h**3 + 4*h**3 - 4*h**3.
2*h*(h - 1)*(3*h + 1)
Factor 4/7 + 2/7*v - 2/7*v**2.
-2*(v - 2)*(v + 1)/7
Let f(u) = -u**2 + 4*u - 1. Let v be f(2). Let c(x) = 12*x**4 - 12*x**2 + 3. Let y(b) = b**3 - b - 1. Let l(i) = v*y(i) + c(i). Solve l(q) = 0.
-1, -1/4, 0, 1
Let x(m) be the first derivative of -m**6/10 - 21*m**5/25 - 3*m**4/2 + 2*m**3/5 + 33*m**2/10 + 3*m - 25. Suppose x(n) = 0. What is n?
-5, -1, 1
Suppose 4*p**5 - 17*p**4 - 8*p**2 - 20*p**2 + 8*p + 36*p**3 - 3*p**4 = 0. Calculate p.
0, 1, 2
Factor -2/5*p**2 - 2/15*p**3 + 8/15*p + 0.
-2*p*(p - 1)*(p + 4)/15
Let t(m) = m**2 + 2. Let s(g) = g**2 + 8*g + 6. Let k(h) = -s(h) - t(h). Factor k(p).
-2*(p + 2)**2
Let s(t) = -t**3 - 6*t**2 + 5*t - 10. Let k be s(-7). Find j such that -j - j**5 + j**3 - j**2 + 0*j**2 + j**k + j = 0.
-1, 0, 1
Let l be 54/13 - (0 - -4). Factor 4/13*a + l + 2/13*a**2.
2*(a + 1)**2/13
Let m(w) = 90*w**3 + 12*w**2 + 4*w. Let c(h) = -30*h**3 - 4*h**2 - h. Let d(k) = 20*c(k) + 6*m(k). Factor d(l).
-4*l*(3*l + 1)*(5*l - 1)
Let b(t) = t**3 - 3*t**2 + t. Let g(w) = -4*w**2. Let q(o) = o + 3. Let m be q(-8). Let l(v) = m*g(v) + 4*b(v). Factor l(d).
4*d*(d + 1)**2
Let q(u) = -u - 4. Let z be q(-6). Determine o, given that z*o - 2 + 2*o - 3*o - 5*o - 2*o**2 = 0.
-1
Let 0*f**3 - 1/9*f**5 + 0 + 1/3*f**4 + 0*f - 4/9*f**2 = 0. What is f?
-1, 0, 2
Let h(k) be the first derivative of -9*k**5/25 - 3*k**4/10 + 3*k**3/5 + 3*k**2/5 - 2. Let h(f) = 0. Calculate f.
-1, -2/3, 0, 1
Factor 12*q + 26*q + 18*q**2 + 12*q**3 + 3*q**4 - 26*q + 3.
3*(q + 1)**4
Let w(m) be the first derivative of -2*m**6/15 + 4*m**5/25 + 1. Determine p, given that w(p) = 0.
0, 1
Let f(b) be the second derivative of b**8/840 - b**7/140 + b**6/90 + b**3/6 - 5*b. Let j(z) be the second derivative of f(z). Suppose j(d) = 0. Calculate d.
0, 1, 2
Let u(x) be the second derivative of -3/2*x**2 + 1/210*x**5 + 3/7*x**3 + 1/14*x**4 + 0 - 4*x. Let f(o) be the first derivative of u(o). Factor f(b).
2*(b + 3)**2/7
Determine r, given that 2/5*r + 4/5 - 2/5*r**2 = 0.
-1, 2
Let j(r) = r**3 - 10*r**2 + 8*r + 12. Let s be j(9). Find f such that s*f**5 + 6*f**3 - 6*f**5 - 9*f**3 + 6*f**4 = 0.
0, 1
Let f(s) be the first derivative of 3 + 0*s + 1/2*s**4 - 2*s**3 + 2*s**2. Factor f(r).
2*r*(r - 2)*(r - 1)
Find f such that 3/5*f**4 - 1/5*f**5 + 0*f**2 - 2/5*f**3 + 0*f + 0 = 0.
0, 1, 2
Suppose -5*d + 10 = 5*s, 0 = -4*s + 2*d + 8. Solve 0*a + 1/5*a**s - 1/5 = 0.
-1, 1
Let x = 8 - 5. Solve 8/3 - 2/3*j**x + 10/3*j**2 - 16/3*j = 0 for j.
1, 2
Solve -7/3*v + 6 - 1/3*v**2 = 0 for v.
-9, 2
Let m be 4*2/(-28) + 60/14. Let a(n) be the second derivative of -5/2*n**5 + 0*n**2 + n + 0 - 4/3*n**3 + 10/3*n**m. Factor a(p).
-2*p*(5*p - 2)**2
Determine k, given that -12/7*k**2 - 3/7*k**3 - 6/7 - 15/7*k = 0.
-2, -1
Let d(c) = -9*c**3 - 20*c**2 - 11*c + 8. Let g(j) = -j**3 + 2*j**3 + 4*j + 2*j**3 - 2 - 1 + 7*j**2. Let s(q) = 3*d(q) + 8*g(q). Factor s(t).
-t*(t + 1)*(3*t + 1)
Suppose 0 = -3*h - h + 72. Let d = h + -13. Factor 4/7*k**4 - 4/7*k**2 - 2/7*k**d + 0 + 2/7*k + 0*k**3.
-2*k*(k - 1)**3*(k + 1)/7
Let w = -9 - -3. Let m be (1/2)/(w/(-36)). Factor -2/11*d**2 + 2/11*d**m + 0 + 0*d.
2*d**2*(d - 1)/11
Let c(o) be the first derivative of o**4/8 - o**3/6 - 5*o**2/4 - 3*o/2 - 32. Factor c(v).
(v - 3)*(v + 1)**2/2
Factor 8/5*r + 6/5 + 2/5*r**2.
2*(r + 1)*(r + 3)/5
Let f(j) be the second derivative of 0*j**3 + 1/7*j**2 + 0 + 2*j - 1/42*j**4. Determine q, given that f(q) = 0.
-1, 1
Let c(k) be the third derivative of k**6/240 - k**5/40 + k**4/16 - k**3/12