4*j - 1)
Let n(o) be the first derivative of -o**4/10 + 4*o**3/15 - o**2/5 - 140. Factor n(l).
-2*l*(l - 1)**2/5
Let g = 4 - -4. Determine n so that 4*n**2 + 4*n**2 - 6*n**5 - 2*n**3 + g*n - 16*n**4 + 8*n**2 = 0.
-2, -1, -2/3, 0, 1
Let t = -95 - -286/3. Factor -4/3*x**2 - 4/3*x + 0 - t*x**3.
-x*(x + 2)**2/3
Let r(p) be the third derivative of -p**6/1080 - p**5/90 - 21*p**2 + 12. Factor r(t).
-t**2*(t + 6)/9
Let u(h) be the third derivative of 0 + 2/3*h**3 - 11/60*h**5 + 1/30*h**7 + 5*h**2 + 0*h + 1/2*h**4 - 1/10*h**6. Suppose u(i) = 0. What is i?
-1, -2/7, 1, 2
Let n(d) be the second derivative of 0 + 0*d**2 + 15*d + 8/5*d**5 + 4/3*d**3 - 7/3*d**4 - 2/5*d**6. Factor n(b).
-4*b*(b - 1)**2*(3*b - 2)
Suppose -13*k + 52 - 13 = 0. Let h - h**2 - 3*h**k - 4*h**3 + 6*h**3 + h**4 = 0. Calculate h.
-1, 0, 1
Let 5*f**4 + 188*f**2 - 6*f**3 + 3*f**3 - 2 + 62 - 223*f**2 + 40*f - 7*f**3 = 0. Calculate f.
-2, -1, 2, 3
Let v(o) = -3*o - 10. Let k be v(-3). Let a(f) = 12*f**2 - 8*f - 8. Let d(h) = h**2 - h + 1. Let n(c) = k*a(c) + 8*d(c). Suppose n(j) = 0. Calculate j.
-2, 2
Let u be ((-4)/10)/(248/(-310))*3. Let u*g**2 + 3*g + 1/4*g**3 + 2 = 0. What is g?
-2
Let g(z) be the third derivative of z**8/1344 - z**6/8 + z**5/3 + 10*z**4 - 96*z**3 - 215*z**2. Suppose g(y) = 0. What is y?
-6, 4
Find i such that -2*i**2 + 6*i - 4*i + 16*i - 786 + 830 = 0.
-2, 11
Suppose 172*i**3 + 16*i**4 - 209*i**4 + 63*i**5 - 161*i**4 + 407*i**3 + 36*i - 264*i**2 = 0. What is i?
0, 2/7, 1/3, 2, 3
Suppose -5*f = k - 12, -3*k - 2*f + 4*f = -2. Factor 36*w**4 + 0*w**k - 20 - 10*w**3 + 15*w**2 + 20*w - 41*w**4.
-5*(w - 1)**2*(w + 2)**2
Let i(p) = 8*p**2 + 4*p - 4. Let j(q) = q**2 - 55 + 55 + q. Let s(a) = 2*i(a) - 20*j(a). Factor s(n).
-4*(n + 1)*(n + 2)
Let f(w) be the third derivative of -w**6/48 + 23*w**5/24 - 55*w**4/24 + 364*w**2. Solve f(d) = 0.
0, 1, 22
Suppose 2*t - 54 = -38. Factor 4*n**2 + 0*n - 9*n - t + 17*n - 4*n.
4*(n - 1)*(n + 2)
Let i(a) = -16*a**3 - 4*a**2 + 6*a + 6. Let o(s) = -2*s**3 + s + 1. Let t(x) = -i(x) + 6*o(x). Solve t(r) = 0.
-1, 0
Let t be -32 + 13 - -17 - 31/(-5). What is l in 48/5 + 48/5*l**3 - 48/5*l - 24/5*l**2 + 3/5*l**5 - t*l**4 = 0?
-1, 2
Let z be 1 + 6*3*1/27. Let n = -15 + 19. Factor n*t**2 - 4/3*t + 0 - z*t**3.
-t*(t - 2)*(5*t - 2)/3
Let j(s) be the second derivative of -s**4/3 - 58*s**3/3 + 60*s**2 + 3*s - 11. Factor j(a).
-4*(a - 1)*(a + 30)
Let n be (56/(-12))/(2/6). Let d = 19 + n. Let m(w) = -8*w**2 + 5*w + 2. Let i(x) = 12*x**2 - 7*x - 3. Let a(l) = d*i(l) + 7*m(l). Suppose a(t) = 0. What is t?
-1/2, 1/2
Let p(i) be the second derivative of i**5/20 + i**4 + 15*i**3/2 + 27*i**2 - 2*i + 15. Suppose p(c) = 0. What is c?
-6, -3
Let m be -10*(-1 - 1/(-5)). Suppose 4*u + 2*t = 3*u - m, -5*u + 3*t = -25. Let -2*g**2 + 3*g + 3*g**u - 4*g**2 - 3 - 9*g = 0. Calculate g.
-1
Let i = 181 - 181. Let f(k) be the second derivative of i - 4*k**3 + 18*k**2 + 1/3*k**4 + 7*k. Factor f(p).
4*(p - 3)**2
Let f = -130 + 134. Let -f + 244 - 18*j**4 + 16 + 960*j - 816*j**2 + 212*j**3 = 0. Calculate j.
-2/9, 4
Let f(d) be the third derivative of d**9/181440 - d**8/60480 - d**7/3780 + d**6/540 + 2*d**5/5 - 26*d**2. Let l(b) be the third derivative of f(b). Factor l(m).
(m - 2)*(m - 1)*(m + 2)/3
Suppose 4*f - 4 = 0, -f + 1 = -0*r + r. Let i(x) be the second derivative of 1/16*x**4 + r*x**2 - 3/80*x**5 + 6*x + 1/4*x**3 + 0. Find l, given that i(l) = 0.
-1, 0, 2
Let r be -2 - (-2)/((-208)/(-403)). Let w(v) be the third derivative of -9/2*v**3 + r*v**4 + 2*v**2 + 0 - 7/20*v**5 + 0*v + 1/40*v**6. Solve w(y) = 0 for y.
1, 3
Let r be 84/9*15/10. Suppose -2*p = -3*q - 12, 4*q + r = 5*p - 3*p. Factor -8*s**3 + 4*s**2 + 5*s**p - 3*s - 10*s**2.
-3*s*(s + 1)**2
Let s(i) be the second derivative of i**5/6 - 7*i**4/18 - 5*i**3/9 + 7*i**2/3 + 19*i. Determine w so that s(w) = 0.
-1, 1, 7/5
Suppose -7 = -3*b + 8. Let c(h) be the third derivative of -1/10*h**b + 4*h**2 + 0*h + 1/8*h**4 - 1/40*h**6 + h**3 + 0. Solve c(x) = 0 for x.
-2, -1, 1
Let q(o) be the third derivative of 0*o**3 + 0*o + 6*o**2 - 1/60*o**5 + 1/120*o**6 + 0 + 1/210*o**7 + 0*o**4 - 1/336*o**8. Factor q(l).
-l**2*(l - 1)**2*(l + 1)
Suppose -u + 11*y + 22 = 7*y, 0 = 2*u + 4*y + 16. Let f(l) be the first derivative of 0*l + 4/3*l**3 + 0*l**4 - 4/5*l**5 - 9 + 1/3*l**6 - l**u. Factor f(v).
2*v*(v - 1)**3*(v + 1)
Let t(o) = -o**2 + o + 5. Let r(z) = 14*z**2 + 234*z - 298. Let u(c) = -r(c) - 10*t(c). Factor u(n).
-4*(n - 1)*(n + 62)
Let p(i) be the second derivative of -i**7/42 - 31*i**6/30 - 96*i**5/5 - 198*i**4 - 1224*i**3 - 4536*i**2 - 290*i. Factor p(u).
-(u + 6)**4*(u + 7)
Let f(k) = -10*k**4 - 5*k**3 + 10*k**2 - 5*k + 5. Let z(o) = o**5 + 11*o**4 + 5*o**3 - 11*o**2 + 6*o - 6. Let y(t) = -6*f(t) - 5*z(t). Factor y(r).
-5*r**2*(r - 1)**2*(r + 1)
Let y be 48/64 + (-818)/(-1288). Let b = y - 22/23. Find z, given that b*z - 1/7*z**2 - 2/7 = 0.
1, 2
Solve 30*a**3 + 6*a**2 - 226726*a + 226699*a - 24*a**4 - 3*a**5 + 18*a**2 = 0 for a.
-9, -1, 0, 1
Factor -8/7*t**2 + 0 - 2/7*t**3 + 2/7*t**4 + 8/7*t.
2*t*(t - 2)*(t - 1)*(t + 2)/7
Suppose 0 = 2*r - r. Suppose 4*z - 4 = -r*z + x, 0 = x - 4. Factor 25*m**z - 95 + 95 - 5*m.
5*m*(5*m - 1)
Let p be (-4)/112*4 + 44/14. Factor 2/3*n - 1/3*n**4 + 4/3*n**p - 5/3*n**2 + 0.
-n*(n - 2)*(n - 1)**2/3
Let z be (-1)/(-2)*(-6 - 0). Let l = z - -7. Determine g, given that -3*g**2 - l + g**2 - 6*g - 2*g**2 + 2*g**2 = 0.
-2, -1
Let x(v) be the second derivative of -v**5/110 + v**4/33 + v**3/11 - 4*v + 12. Find d such that x(d) = 0.
-1, 0, 3
Suppose f = 4*f - 3*o - 18, 20 = -5*o. Suppose -l = 3*s - 20, f*l - 52 = 2*s - 5*s. Let -42*j**2 + 24*j**2 + 0 + 8 + l*j = 0. What is j?
-2/9, 2
Let k(z) be the first derivative of 6*z + 10 + 2/3*z**3 + 4*z**2. Factor k(f).
2*(f + 1)*(f + 3)
Let m(x) be the second derivative of x**5/10 + x**4 + 3*x**3 + 4*x**2 - 11*x + 8. Factor m(r).
2*(r + 1)**2*(r + 4)
Let x(o) = -40*o**4 + 3*o**3 - o**2 - 5*o. Suppose 3*b - 11*b = 32. Let w(y) = 41*y**4 - 4*y**3 + 4*y. Let a(m) = b*x(m) - 5*w(m). What is r in a(r) = 0?
-2/9, 0, 2/5
Suppose 5*g - 2 = -3*d, d + g + 18 = 5*d. What is j in -d*j + 3*j - 9*j**2 + 8*j**2 = 0?
-1, 0
Let p(j) = j**2 + 4*j - 3. Let t be p(-5). Suppose 0 = -c - 3 + 7. Factor -c*h**t + h + 3*h + 2*h**2.
-2*h*(h - 2)
Let d = 41 - 51. Let a be (356/90 + -4)*d. Solve a + 8/9*y**2 + 2/9*y**3 + 10/9*y = 0 for y.
-2, -1
Solve 129*i**5 - i**2 + 129*i**5 + 55*i**4 - 253*i**5 + i**2 = 0.
-11, 0
Let a be ((-7)/98)/((-2)/32). Determine j, given that -2/7*j**3 - 2/7*j**2 + 8/7*j + a = 0.
-2, -1, 2
Factor 0 - 1/2*t**4 - 84*t**3 - 87808*t - 4704*t**2.
-t*(t + 56)**3/2
Let g = 66 + -37. Let s = g - 26. Factor 3*d**3 - 6*d**2 - 3*d**2 + 3*d - 7*d + 13*d - s.
3*(d - 1)**3
Let n(m) be the third derivative of 1/15*m**6 - 3*m**2 - 4/3*m**3 + 0 - 5/6*m**4 - 1/15*m**5 + 0*m. Find q such that n(q) = 0.
-1, -1/2, 2
Let x(y) be the first derivative of -y**3/3 - 7*y**2/2 - 4*y + 3. Let b be x(-6). Solve 4*h**2 + 79*h - h**b - 85*h + 3*h**3 = 0 for h.
-2, 0, 1
Let g be (2/(-36)*(-5 - -8))/(5/(-150)). Determine p, given that -1/2*p**g - 11/2*p**2 + 0 + 2*p + 9/2*p**3 - 1/2*p**4 = 0.
-4, 0, 1
Let o(p) be the third derivative of -4*p**7/105 - 17*p**6/90 + p**5/15 + 4*p**4/3 - 8*p**3/9 + 61*p**2 + p. Solve o(n) = 0.
-2, 1/6, 1
Let h(m) be the second derivative of -4 - 1/6*m**4 - 1/3*m**3 - 1/3*m**2 - m - 1/30*m**5. Factor h(x).
-2*(x + 1)**3/3
Suppose -16*g = 9*g. Let y(v) be the third derivative of 1/18*v**4 + 1/180*v**5 + g + 2/9*v**3 + 6*v**2 + 0*v. Factor y(l).
(l + 2)**2/3
Let x(d) be the first derivative of -1/5*d**5 - 1/4*d**4 - 1/9*d**3 + 0*d - 1/18*d**6 + 21 + 0*d**2. Solve x(b) = 0 for b.
-1, 0
Let a(g) be the first derivative of g**7/4200 + g**6/600 + g**5/200 + g**4/120 + 8*g**3/3 + 5. Let h(b) be the third derivative of a(b). Factor h(y).
(y + 1)**3/5
Suppose -7*k - k = -k - k. Factor k + i - 3/2*i**3 - 1/2*i**4 + 1/2*i**2 + 1/2*i**5.
i*(i - 2)*(i - 1)*(i + 1)**2/2
Let -4*w**2 - 14*w - 1703*w**5 - 2*w**3 + 10*w**4 - 6 + 1705*w**5 + 2*w**3 + 12*w**3 = 0. Calculate w.
-3, -1, 1
Determine z, given that -29 + 1/4*z**2 - 14*z = 0.
-2, 58
Let m(w) be the third derivative of w**5/120 + 17*w**4/12 - 23*w**3/4 - 36*w**2. Let m(t) = 0. What is t?
-69, 1
Let z(w) be the second de