 - 17)*(u + 1)/3
Let q(t) = -9*t**3 - 9*t**2 + 60*t + 6. Let p(o) = -26*o**3 - 26*o**2 + 180*o + 17. Let s(m) = -6*p(m) + 17*q(m). Factor s(u).
3*u*(u - 4)*(u + 5)
Let t(n) be the second derivative of n**4/96 + 290*n. Find x, given that t(x) = 0.
0
Let o(u) be the first derivative of -1/15*u**3 - 1/50*u**5 + 0*u**2 + 3/40*u**4 - 19 + 0*u. Suppose o(n) = 0. What is n?
0, 1, 2
Let x(h) be the third derivative of -h**8/84 + h**6/10 + 2*h**5/15 + h**2 - 3. Suppose x(q) = 0. What is q?
-1, 0, 2
Let i = -64 + 94. Let s = 34 - i. Suppose -10*n**2 + 16*n**5 + 3*n**4 - 16*n**3 + 6*n**2 - n**4 + 2*n**s = 0. Calculate n.
-1, -1/4, 0, 1
Suppose 217*g + 85*g**2 + 183*g + 320 + 800*g**3 - 795*g**3 = 0. What is g?
-8, -1
Let f(l) be the third derivative of -l**6/360 + 148*l**2. Factor f(w).
-w**3/3
Factor 16/3*x**2 + 0 + 6*x - 2/3*x**3.
-2*x*(x - 9)*(x + 1)/3
Let v = -11524/25 + 461. Let s(u) be the first derivative of 0*u**2 - 2/15*u**3 - v*u**5 + 7 + 0*u + 3/20*u**4. Determine r so that s(r) = 0.
0, 1, 2
Let h(x) be the second derivative of 2/5*x**6 + 0*x**2 + 2/21*x**7 - 15*x + 0 + 0*x**3 + 1/3*x**4 + 3/5*x**5. Factor h(t).
4*t**2*(t + 1)**3
Suppose -h = -4*z, -74*z = 4*h - 78*z. Find b, given that -2/7*b - 2/7*b**3 + h + 4/7*b**2 = 0.
0, 1
Suppose 86*k = 102*k - 48. Let f(v) be the second derivative of -1/2*v**2 + 0 + 1/2*v**k - 6*v - 1/4*v**4 + 1/20*v**5. Find s such that f(s) = 0.
1
Determine m so that -m**2 + 0*m**2 + 39*m**3 - 90*m - 21*m**3 + 3*m**4 - 2*m**2 = 0.
-5, -3, 0, 2
Let h(s) be the second derivative of -s**5/50 - 19*s**4/10 - 56*s**3 - 784*s**2/5 + 2*s + 12. Factor h(b).
-2*(b + 1)*(b + 28)**2/5
Let h(k) be the third derivative of -4/105*k**5 + 0*k - 1/60*k**6 - 3/56*k**4 + 0 - 1/21*k**3 - 1/2352*k**8 + 21*k**2 - 1/245*k**7. Suppose h(i) = 0. What is i?
-2, -1
Suppose 4*l - 3 = -a + 14, 0 = -2*a - 6. Determine z, given that -15*z**2 + 5*z**5 - 25*z**4 - 10 + 35*z**3 + 15 - l = 0.
0, 1, 3
Factor -33/2*q**2 - 10 - 1/2*q**4 + 5*q**3 + 22*q.
-(q - 5)*(q - 2)**2*(q - 1)/2
Let a(u) be the second derivative of 2*u**6/105 + 8*u**5/35 - 19*u**4/21 + 20*u**3/21 - 10*u - 22. Factor a(r).
4*r*(r - 1)**2*(r + 10)/7
Let l(t) be the second derivative of -t**6/90 - t**5/10 + 3*t**4/4 + 6*t**3 - 54*t**2 - 5*t - 10. Factor l(z).
-(z - 3)**2*(z + 6)**2/3
Let c(i) be the third derivative of -i**6/660 - i**5/330 + i**4/11 - 49*i**2. Solve c(x) = 0 for x.
-4, 0, 3
Suppose -2 = -3*z + 2*z + 5*l, -5*z + 50 = -5*l. Let c = -4 + 6. What is t in -2*t + z*t + c*t**3 + 4 + 3*t**2 + 5*t**2 = 0?
-2, -1
Solve 165*m - 334*m + 7*m**3 + 3*m**3 + 5*m**4 + 0*m**4 + 159*m - 5 = 0 for m.
-1, 1
Let q be (-80)/(-280)*(-70)/(-6). Solve 25/3*d + 0 + 1/3*d**3 - q*d**2 = 0 for d.
0, 5
Factor -116/5*d**2 - 24 - 238/5*d + 2/5*d**3.
2*(d - 60)*(d + 1)**2/5
Let v = -488 + 492. Let o(y) be the first derivative of 3/2*y**v + 3/5*y**5 + 0*y**2 + y**3 - 11 + 0*y. Suppose o(r) = 0. What is r?
-1, 0
Find x, given that 0 - 12/7*x**2 + 24/7*x + 3/7*x**4 - 18/7*x**3 + 3/7*x**5 = 0.
-2, 0, 1, 2
Determine p, given that 0*p**3 - 49 + 69 - 2*p**2 + 14*p - 2*p**3 - 6*p**2 = 0.
-5, -1, 2
Let a(c) be the third derivative of c**5/60 + 11*c**4/12 + 235*c**2. Factor a(g).
g*(g + 22)
Let k(i) = -i**2 + 2*i**2 - 7*i - 3 - 2*i**2 + 4*i**2. Let v(r) = r**2 - 2*r - 1. Let u(b) = -2*k(b) + 7*v(b). Factor u(n).
(n - 1)*(n + 1)
Suppose 979/5*x**4 + 121/5*x**5 - 252/5 - 192*x - 727/5*x**2 + 839/5*x**3 = 0. Calculate x.
-7, -1, -6/11, 1
Let d(w) be the third derivative of w**7/3360 + w**6/480 + w**5/160 - 5*w**4/24 - 9*w**2. Let y(t) be the second derivative of d(t). Factor y(m).
3*(m + 1)**2/4
Let w(d) be the first derivative of d**7/336 + d**6/80 + 3*d**5/160 + d**4/96 - 13*d + 19. Let u(m) be the first derivative of w(m). Factor u(y).
y**2*(y + 1)**3/8
Let o = 3/8 + 1/8. Suppose -13 = -3*m + k, 2*m + 4*k - 10 = 6*k. What is a in 0*a**2 - o*a**5 - 3/2*a**m + 0 - a**3 + 0*a = 0?
-2, -1, 0
Let w be 4 + (1 - 1) + 16. Factor -128*v**2 - 2*v**4 + 182*v + w*v**2 - 162 + 34*v + 24*v**3.
-2*(v - 3)**4
Let k = 1/4750 - -2830997/14250. Let g = -196 + k. Factor 2/3*x - 10/3*x**2 + g*x**3 + 0.
2*x*(x - 1)*(4*x - 1)/3
Let p(a) be the second derivative of -a**8/1680 - a**7/315 - a**6/180 - a**4/3 - 6*a. Let y(j) be the third derivative of p(j). Suppose y(u) = 0. What is u?
-1, 0
Factor -3/2*o**2 - 867/2 + 51*o.
-3*(o - 17)**2/2
Let y(w) = 3*w + 14. Let a be y(10). Let i be (-6 - a/(-8)) + 146/52. Let i*t + 2/13*t**3 - 18/13 - 14/13*t**2 = 0. What is t?
1, 3
Let k(o) = 25*o + 252. Let j be k(-10). Let w(p) be the first derivative of 11 - 1/10*p**5 - 1/2*p**j + 1/4*p**4 + 1/2*p + 0*p**3. Find d, given that w(d) = 0.
-1, 1
Suppose -9*g + 56 = 11. Solve 9*s - 9*s**3 + 1 + g + 6*s**3 = 0.
-1, 2
Let f(c) = 25*c - 622. Let g be f(25). Factor -4/3*j**g + 0 + 0*j + 4/3*j**2.
-4*j**2*(j - 1)/3
Let y(w) be the first derivative of 5*w**3/3 - 155*w**2/2 + 191. Factor y(t).
5*t*(t - 31)
Let p = -20 - -32. Let d be -5*p/(-210) + 1/(-28). Factor 1/4*n**2 - d*n + 0.
n*(n - 1)/4
Factor 5*a**3 + a**3 - 1186*a**4 - 6*a + 2*a**2 + 1184*a**4.
-2*a*(a - 3)*(a - 1)*(a + 1)
Suppose -g + 165 = 4*g. Suppose 5*s - g = -2*p, 5*s + 3*p - 62 + 25 = 0. Suppose -s + 3 - 2*q + 2 + 2*q**2 = 0. What is q?
0, 1
Suppose 204 + 244 = 2*x. What is z in -2*z**2 + 1 - z - 223*z**3 + x*z**3 + z**2 = 0?
-1, 1
Suppose 4*h + 2*h = 1656. Let z = -1347/5 + h. Find l such that -z*l - 6/5 - 12/5*l**3 - 39/5*l**2 = 0.
-2, -1, -1/4
Let y(v) be the second derivative of -v**6/1980 + v**5/660 - v**3 + 2*v. Let j(u) be the second derivative of y(u). Suppose j(q) = 0. Calculate q.
0, 1
Let r be (-11)/(-6) - -1*2/12. Find f such that -r*f**3 + 2*f**2 - 2*f**4 + 2*f**2 + 6*f**3 - 2*f**3 = 0.
-1, 0, 2
Let a(z) = -12*z**2 - 324*z - 144. Let r(j) = -j**2 + 2*j. Let b(k) = -a(k) - 21*r(k). Factor b(y).
3*(y + 8)*(11*y + 6)
Let n(i) be the second derivative of -i + 0*i**4 - 3/2*i**2 + 1/18*i**3 - 1/180*i**5 + 0. Let g(k) be the first derivative of n(k). Factor g(w).
-(w - 1)*(w + 1)/3
Suppose 5*f = -d + 822 - 710, -5*d = 3*f - 648. Factor d*i**3 + 27/2 + 24*i**4 + 291/2*i**2 - 99*i.
3*(i + 3)**2*(4*i - 1)**2/2
Let f = -5/22 + 129/374. Suppose -4/17*c**3 + f*c**4 - 4/17*c**2 + 2/17*c + 2/17 + 2/17*c**5 = 0. Calculate c.
-1, 1
Determine c, given that 52/17*c**3 - 10/17*c**4 + 12/17*c - 70/17*c**2 + 0 = 0.
0, 1/5, 2, 3
Determine w, given that -57/2*w - 3/2*w**3 + 27/2 + 33/2*w**2 = 0.
1, 9
Let m be 42/(-27) + 1 - -1. Let n be 1/4 - (6 + 1075/(-180)). Let 0*z**3 + 0*z - m*z**2 + 2/9*z**4 + n = 0. What is z?
-1, 1
Let s = -88 + 131. Let i = s - 41. Let -6 + 4*o - 2/3*o**i = 0. Calculate o.
3
Let x(l) = 16*l**2 + 64*l + 49. Suppose 3*i = i - 10. Let t(f) = 15*f**2 + 65*f + 50. Let k(g) = i*x(g) + 4*t(g). Suppose k(y) = 0. Calculate y.
-3/2
Let c(j) be the first derivative of -j**6/160 + 7*j**5/80 - 3*j**4/16 - 7*j**2/2 - 1. Let i(w) be the second derivative of c(w). Factor i(r).
-3*r*(r - 6)*(r - 1)/4
Factor 15*v**2 + 15 + 178*v - 21*v**3 - 10 + 31 - 46*v.
-3*(v - 3)*(v + 2)*(7*v + 2)
Let i = -2164 + 15166/7. Let 0 + 8/7*l**5 + 18/7*l**4 - i*l**2 - 4/7*l**3 - 4/7*l = 0. What is l?
-2, -1, -1/4, 0, 1
Let i(y) be the third derivative of -y**5/45 + y**4/3 - 73*y**2. Factor i(p).
-4*p*(p - 6)/3
Let b be (-170)/(-7) - (-2)/(-7). Suppose 26 = 4*n + n - 4*l, 2*l = 2*n - 12. Factor 1 + 3*x - 23*x + 2 + 1 - b*x**n.
-4*(x + 1)*(6*x - 1)
Suppose -3*p + 48 - 51 = 3*l, 16 = 2*l - 4*p. Factor -8/9*r**3 + 4/9*r**4 + 0 - 4/3*r**l + 0*r.
4*r**2*(r - 3)*(r + 1)/9
Let w(i) be the first derivative of 6 - 1/6*i**4 - 9*i + 3*i**2 + 2/3*i**3. Let x(k) be the first derivative of w(k). Factor x(p).
-2*(p - 3)*(p + 1)
Let f(v) be the third derivative of 1/96*v**4 + 0*v**3 - 12*v**2 + 0*v - 1/896*v**8 + 1/960*v**6 + 1/240*v**7 + 0 - 7/480*v**5. Find a, given that f(a) = 0.
-1, 0, 1/3, 1, 2
Let p(q) = -3*q**2 - 95*q - 748. Let n be p(-17). Solve -40/7*k**2 - 2/7*k**5 + n - 2*k**4 - 36/7*k**3 - 16/7*k = 0 for k.
-2, -1, 0
Let k(q) = -q**2 + 5*q - 8. Suppose 2*s = -3*s + 30. Let b(v) = v**2 - 4*v + 7. Let d(g) = s*k(g) + 7*b(g). Let d(l) = 0. Calculate l.
-1
Let j(u) be the first derivative of 32/7*u**2 + 4/3*u**3 - 19 + 16/7*u. Factor j(i).
4*(i + 2)*(7*i + 2)/7
Suppose -3*d + 0*y + 18 = -y, 0 = 3*d + y - 12. Suppose -d*