 + 2)/7
Let s(p) be the first derivative of p**5/50 - p**4/15 + p**3/15 + 3*p - 3. Let q(k) be the first derivative of s(k). Let q(z) = 0. What is z?
0, 1
Let g(p) be the first derivative of p**6/600 + p**5/50 + 3*p**4/40 - p**3/3 + 4. Let d(v) be the third derivative of g(v). Solve d(f) = 0.
-3, -1
Let d be -2*(-3)/(-108)*-20. Let 0 + 2/9*m + 8/9*m**2 + 4/9*m**4 + d*m**3 = 0. What is m?
-1, -1/2, 0
Let m(n) = -5*n**2 - 5*n - 1. Let h(p) = 2*p - p - 2*p + 2*p + p**2. Let w(s) = 11*h(s) + 2*m(s). Determine l so that w(l) = 0.
-2, 1
Let v(y) = -15*y**2 + 30*y. Let t(k) = k**2 - k. Let a(m) = -10*t(m) - v(m). Find r, given that a(r) = 0.
0, 4
Let r(i) = -i**4 - i + 1. Let j(v) = 10*v**4 + 40*v**3 - 90*v**2 + 15*v + 120. Let w(m) = j(m) + 15*r(m). Suppose w(p) = 0. What is p?
-1, 3
Solve -4*k**4 - 1 + 67*k - 4 - 3 + 12*k**2 - 71*k + 4*k**3 = 0 for k.
-1, 1, 2
Suppose 0 = l + 3*d - 2 - 1, 5*d = 3*l + 19. Let q be (-2)/(-10) + l/15. Suppose 0*i**2 + 4/7*i**3 - 2/7*i - 2/7*i**5 + 0*i**4 + q = 0. What is i?
-1, 0, 1
Let n = -453/5 - -91. Factor 0 - n*t + 2/5*t**2.
2*t*(t - 1)/5
Let j be 93/(-18) - (-2)/3. Let l = -4 - j. Factor -l*z**4 + 0*z + 1/2*z**3 + 0 + 0*z**2.
-z**3*(z - 1)/2
Factor c**3 + 1145 + 11*c**2 - 1145.
c**2*(c + 11)
Let g(j) = j**3 + 4*j**2 - 6*j - 2. Let a be g(-5). Suppose 15 = f + a*z, -3*f - f - 5*z = -32. Factor -2/3*d**5 - 2*d**f + 0 - 2/3*d**2 - 2*d**4 + 0*d.
-2*d**2*(d + 1)**3/3
Let a be 3/(-9)*(2 + -2). Let o(d) be the second derivative of a*d**2 + 0 - 1/8*d**3 - 3/80*d**5 + 1/8*d**4 + 3*d. Solve o(i) = 0.
0, 1
Let s be (3 + -3)/4 + -12. Let j be 20/6*s/(-10). Factor -4/3 - j*q + 7/3*q**2.
(q - 2)*(7*q + 2)/3
Let m(v) be the first derivative of -2*v**5/5 + 2*v**4 - 2*v**3 - 30. Solve m(n) = 0.
0, 1, 3
Let b be (1 - 21/35)*(-10)/(-2). Suppose 0*u + 2/11 - 2/11*u**b = 0. What is u?
-1, 1
Let r(n) be the second derivative of 2/27*n**3 + 0 + 2*n + 0*n**2 - 1/18*n**4. Factor r(s).
-2*s*(3*s - 2)/9
Suppose 3/4*b**2 + 3/4*b**3 + 1/4*b + 0 + 1/4*b**4 = 0. Calculate b.
-1, 0
Let g(t) be the third derivative of -t**6/45 - t**5/15 - t**4/16 - t**3/36 + 6*t**2. Determine f so that g(f) = 0.
-1, -1/4
Factor 17*w + w**2 - 17*w.
w**2
Let r(o) be the first derivative of 3*o**4/16 + o**3 + 3*o**2/2 + 14. Factor r(m).
3*m*(m + 2)**2/4
Let p(c) be the third derivative of 361*c**5/20 - 57*c**4/4 + 9*c**3/2 - 3*c**2. Find j, given that p(j) = 0.
3/19
Let b(q) = -4*q**3 + 2*q - 2. Let w(v) = 17*v**3 - 8*v + 9. Suppose 2*f = f - 2. Let s(p) = f*w(p) - 9*b(p). Solve s(y) = 0 for y.
-1, 0, 1
Suppose 2*w - 3*w - 9 = 0. Let k = w - -11. What is x in 6*x - 5 - 3*x**k + 6 - 1 - 3 = 0?
1
Let a = 0 + 1. Suppose -u + 1 + a = 0. Factor 0*p**4 + 0*p**4 - p**4 - p + p**3 + p**u.
-p*(p - 1)**2*(p + 1)
Let x(r) be the second derivative of 0*r**3 - r + 0 - 1/20*r**5 - 2*r**2 + 1/4*r**4. Suppose x(a) = 0. Calculate a.
-1, 2
Let r(y) be the second derivative of y**5/35 - y**4/3 + 4*y**3/7 + 6*y + 1. Factor r(s).
4*s*(s - 6)*(s - 1)/7
Solve -4*s**3 + s**4 + 8*s**2 + 3 + 0*s**2 - 2*s**4 - 10*s**2 + 4*s = 0.
-3, -1, 1
Let o(v) be the second derivative of -1/18*v**4 - 1/3*v**2 - 2*v + 2/9*v**3 + 0. Factor o(w).
-2*(w - 1)**2/3
Let y = 3 + 0. Factor 0*o**2 - 9*o**2 + 2*o**3 - 2*o + o**y - o + 9*o**4.
3*o*(o - 1)*(o + 1)*(3*o + 1)
Find g such that -2*g - g**3 + 6*g**3 - 18*g = 0.
-2, 0, 2
Let b = 48541/60 - 809. Let t(n) be the third derivative of 1/12*n**4 + 0*n - n**2 + 0 + 0*n**3 - b*n**5. Factor t(z).
-z*(z - 2)
Let f(r) = -r**4 - r**2. Let a(c) = -2*c**4 - c**2 + 2*c**2 + 3*c**2 - 7*c**2. Let x(u) = a(u) - 3*f(u). Factor x(v).
v**4
Let p(z) be the third derivative of 0*z - 1/18*z**3 - 1/180*z**5 - 1/36*z**4 - 3*z**2 + 0. Determine g, given that p(g) = 0.
-1
Let p(c) be the third derivative of -c**7/735 - c**6/420 - c**2. Find z such that p(z) = 0.
-1, 0
Suppose w + 9 = 4*w - 4*p, -4*p + 47 = 5*w. Let s = -3 + w. Factor -2*a**2 - 5*a**4 + 3*a**4 + 4*a**s.
2*a**2*(a - 1)*(a + 1)
Let x(s) = 2*s**5 - 3*s**4 + s**3 + 11*s**2 - 3*s - 3. Let a(p) = -p**5 + 3*p**4 - 2*p**3 - 10*p**2 + 3*p + 3. Let b(g) = -5*a(g) - 4*x(g). Factor b(w).
-3*(w - 1)**2*(w + 1)**3
Let t(o) = 3*o**5 + 16*o**4 + 22*o**3 + 12*o**2 - o + 4. Let x(q) = 3*q**5 + 15*q**4 + 21*q**3 + 12*q**2 + 3. Let r(i) = -3*t(i) + 4*x(i). Factor r(d).
3*d*(d + 1)**4
Let t(u) be the first derivative of u**4 + 8*u**3/3 - 2*u**2 - 8*u - 1. Suppose t(j) = 0. Calculate j.
-2, -1, 1
Let h = -125 + 127. Let x(w) be the second derivative of 1/24*w**4 + 4*w + 1/4*w**h - 1/6*w**3 + 0. Determine p, given that x(p) = 0.
1
Let f(x) = -5*x**2 + 17*x + 12. Let y(v) = 2*v**2 - 8*v - 6. Let r(t) = 6*f(t) + 14*y(t). Factor r(j).
-2*(j + 2)*(j + 3)
Let r = 4 - 2. Factor 1 - 16*d**4 - 5*d + 17*d**4 + 5*d - r*d**2.
(d - 1)**2*(d + 1)**2
Let u = 3 + -4. Let c be 2/(u - (0 + -2)). Factor 2*y**2 + 5*y + 1 + c*y**2 + 0.
(y + 1)*(4*y + 1)
Let h(j) = 10*j**2 + 12*j + 12. Let c(u) = -u**2 - u - 1. Let i be (2 - 1/1)*-1. Let p(r) = i*h(r) - 12*c(r). Let p(m) = 0. What is m?
0
Let f = -11 + 7. Let t be f/14 + (-69)/(-21). Factor 2/9*x**t - 2/9*x + 0 + 0*x**2.
2*x*(x - 1)*(x + 1)/9
Let z(u) be the second derivative of -1/36*u**4 + 1/18*u**3 + 0 - u + 1/3*u**2. Suppose z(x) = 0. What is x?
-1, 2
Solve -2*p**5 + 0*p**5 - 2*p**3 - 26*p**4 + 22*p**4 = 0 for p.
-1, 0
Let i(n) = -31*n - 244. Let b be i(-8). Factor 0 + 0*s - 8/5*s**3 - b*s**4 + 0*s**2 - 8/5*s**5.
-4*s**3*(s + 2)*(2*s + 1)/5
Let m(j) = 5*j**2 - j + 2. Let y be m(1). Let u(i) be the first derivative of 0*i + 0*i**2 + 0*i**4 + 2/35*i**5 + 0*i**3 + 1 - 1/21*i**y. Solve u(f) = 0 for f.
0, 1
Let t(i) be the first derivative of -147*i**5/5 - 693*i**4/2 - 949*i**3 + 990*i**2 - 300*i + 51. Find o, given that t(o) = 0.
-5, 2/7
Let p(g) be the second derivative of -g**6/900 - g**5/100 - g**4/30 + g**3/6 - g. Let l(f) be the second derivative of p(f). Factor l(d).
-2*(d + 1)*(d + 2)/5
Let c(k) be the second derivative of k**4/20 - 3*k**3/5 + 3*k**2/2 + 7*k. Factor c(d).
3*(d - 5)*(d - 1)/5
Let p = -2/45 + 104/315. Suppose -2/7*g + p*g**3 - 2/7*g**2 + 2/7 = 0. Calculate g.
-1, 1
Let r(z) be the third derivative of -z**6/30 - 7*z**5/15 - 4*z**4/3 + 32*z**3/3 - 4*z**2. Determine y so that r(y) = 0.
-4, 1
Let c(v) = -v**2 + 2*v. Let w be c(2). Solve -7*j + j + 2*j**2 + w*j + 0*j = 0 for j.
0, 3
Let w = 72 + -69. Let v = -4/113 - -480/791. Let v*o**w - 4/7*o - 6/7*o**4 - 2/7 + 8/7*o**2 = 0. What is o?
-1, -1/3, 1
Factor -30*i**3 + i**4 - 20 - 14*i - 48*i - 65*i**2 - 6*i**4 + 2*i.
-5*(i + 1)**2*(i + 2)**2
Factor -1/7*n**3 - 1/7*n**5 + 0*n + 0*n**2 + 0 - 2/7*n**4.
-n**3*(n + 1)**2/7
Let g(d) = 12*d**4 + 5*d**3 - 11*d**2 + 6*d. Let p(a) = -a**2 + a. Let n(x) = -g(x) + 5*p(x). Suppose n(f) = 0. What is f?
-1, 0, 1/4, 1/3
Factor 2/5*j - 1/10*j**4 + 0 - 11/10*j**2 + 9/10*j**3 - 1/10*j**5.
-j*(j - 1)**3*(j + 4)/10
Suppose -5*r - 15 = 0, -3*l + 27 = -4*r + 9. Let f(z) = z**3 + 2*z**2 - 2*z + 1. Let j be f(-2). What is t in -j + 6*t + 0*t**l - 2*t**2 + 1 = 0?
1, 2
Let r(z) = -8*z**2 + 112*z - 115. Let n(t) = -2*t**2 + 28*t - 29. Let a(v) = -22*n(v) + 6*r(v). Factor a(i).
-4*(i - 13)*(i - 1)
Let a(v) = 98*v**3 - 40*v**2 + 2*v + 2. Let d(k) = -97*k**3 + 40*k**2 - k - 3. Let c(l) = 3*a(l) + 2*d(l). Suppose c(o) = 0. What is o?
0, 1/5
Factor -2*m**4 + 6*m - 2*m**3 + 2*m**2 - 6*m + m**5 + m**5.
2*m**2*(m - 1)**2*(m + 1)
Let t = 1 - 9. Let j(g) = -2*g**2 + 2. Let d(z) = -3 - z + 3*z**2 + z + 0*z**2. Let f(n) = t*j(n) - 5*d(n). Factor f(o).
(o - 1)*(o + 1)
Let -8*o**4 + 0 - 2*o**5 - 2*o - 84*o**3 - 8*o**2 + 0 + 72*o**3 = 0. What is o?
-1, 0
Let f(c) be the second derivative of -c**7/13860 + c**6/3960 + c**4/12 - 3*c. Let m(z) be the third derivative of f(z). Solve m(x) = 0.
0, 1
Let o(x) be the second derivative of -6*x + 0 - 1/20*x**2 - 1/60*x**3 + 1/120*x**4 + 1/200*x**5. Determine k so that o(k) = 0.
-1, 1
Let a be 70/(-3)*24/(-16). Let u = a - 21. Suppose 6*q**4 + 2*q + 5*q**2 + u*q**3 + 5*q**2 + 0*q**2 = 0. Calculate q.
-1, -1/3, 0
Determine t so that 3/4*t**2 - 3/4*t + 0 = 0.
0, 1
Let n(y) be the first derivative of y**5/5 - y**4/2 + y**3/3 + 36. Factor n(d).
d**2*(d - 1)**2
Let g(f) = 3*f**2 - 42*f + 35. Let p(n) = -11*n**2 + 169*n - 140. Let u(t) = 9*g(t) + 2*p(t). Factor u(l).
5*(l - 7)*(l - 1)
Factor 0*r +