 + 3*t**4 - 11*t.
2*(t - 2)*(t + 2)**3
Let u(m) be the third derivative of -m**5/20 - 43*m**4/4 - 1849*m**3/2 - 80*m**2. Find r such that u(r) = 0.
-43
Let v be (2/(-4) + 1)/((-57)/(-342)). Let o(i) be the second derivative of -27/2*i**2 - 57/4*i**v - 3/8*i**5 - 5*i - 4*i**4 + 0. Let o(n) = 0. What is n?
-3, -2/5
Let a be 247/(-76)*(-640)/30. Find i such that -14/3*i**4 - 32 - a*i - 1/3*i**5 - 24*i**3 - 176/3*i**2 = 0.
-6, -2
Let n(h) be the first derivative of 2*h**3/33 - 23*h**2/11 - 48*h/11 + 162. Factor n(l).
2*(l - 24)*(l + 1)/11
Factor -18 - 48*j - 56*j**2 + 4*j**2 - 2*j**4 - 16*j**3 + 8*j**2.
-2*(j + 1)**2*(j + 3)**2
Let o(d) be the second derivative of d**4/30 - 13*d**3/5 + 38*d**2/5 + 152*d - 1. Determine l, given that o(l) = 0.
1, 38
Let s(j) be the second derivative of 5*j**7/14 - 7*j**6/15 - 3*j**5/20 + j**4/6 + 422*j. Let s(b) = 0. What is b?
-2/5, 0, 1/3, 1
Let p be (-740)/(-1050) - 24/(-252). Solve 2/5*w + 2/5*w**2 - p = 0.
-2, 1
Let l = 1275 + -1270. Let j(v) be the third derivative of 0*v + 0 + 4/3*v**3 - 1/30*v**6 - 8*v**2 + 4/15*v**l - 5/6*v**4. Determine p so that j(p) = 0.
1, 2
Let u = -90 + -157. Let v = u + 247. Factor -2/7*w**2 + 2/7*w + v.
-2*w*(w - 1)/7
Let c = 15223/42 - 2536/7. Factor -1/2*b - 1/3 + c*b**4 + 1/6*b**2 + 1/2*b**3.
(b - 1)*(b + 1)**2*(b + 2)/6
Let k(n) = -13*n**4 - 74*n**3 - 43*n**2 + 64*n + 46. Let x(j) = 7*j**4 + 38*j**3 + 21*j**2 - 32*j - 22. Let d(t) = -3*k(t) - 5*x(t). Factor d(l).
4*(l - 1)*(l + 1)**2*(l + 7)
Let b(k) be the first derivative of k**6/14 + 9*k**5/7 + 87*k**4/14 - 18*k**3/7 - 87*k**2/2 + 63*k - 361. What is i in b(i) = 0?
-7, -3, 1
Suppose -5 - 21/8*n**5 - 9/2*n + 133/4*n**2 - 303/8*n**3 + 67/4*n**4 = 0. What is n?
-2/7, 1, 5/3, 2
Let k(h) be the first derivative of h**6/60 + h**5/15 - h**2 + 12. Let c(w) be the second derivative of k(w). Factor c(m).
2*m**2*(m + 2)
Let x(u) be the first derivative of -u**5/10 + u**3 + 2*u**2 + 13*u + 3. Let w(b) be the first derivative of x(b). Factor w(o).
-2*(o - 2)*(o + 1)**2
Let t(g) be the second derivative of 6*g + 15/2*g**2 + 0 + 15/2*g**3 + 2*g**4. Let i(b) = 23*b**2 + 46*b + 14. Let h(r) = 3*i(r) - 2*t(r). Factor h(u).
3*(u + 2)*(7*u + 2)
Let p(q) = 6*q**2 - 2*q + 7. Let u be (-3)/6*-6 + -2. Let g(x) = 4 - x - 4 + u + x**2. Let f(m) = 5*g(m) - p(m). Factor f(t).
-(t + 1)*(t + 2)
Solve 900 + 21*l + 2*l + 4*l**2 - 143*l = 0.
15
Let t(j) be the first derivative of j**5/40 + 7*j**4/24 + 5*j**3/4 + 9*j**2/4 + 6*j - 14. Let a(i) be the first derivative of t(i). Solve a(x) = 0.
-3, -1
Let b(v) be the third derivative of v**8/1344 - 3*v**7/35 + 509*v**2. Suppose b(s) = 0. Calculate s.
0, 72
Let g(n) = n**2 - 9*n - 19. Let f be g(11). Let t = -3/931 + 1067/931. Solve -4/7*x - 8/7*x**2 + 4/7*x**f + t = 0.
-1, 1, 2
Let s(i) be the first derivative of i**3 + 123*i**2 + 243*i - 162. Factor s(c).
3*(c + 1)*(c + 81)
Let z(t) be the second derivative of -2*t**6/5 - 7*t**5/5 - 5*t**4/3 - 2*t**3/3 + 120*t. Suppose z(f) = 0. Calculate f.
-1, -1/3, 0
Let -4*d**4 - 52*d**2 + 20*d**3 - 108*d - 56*d**2 - 56*d**3 = 0. Calculate d.
-3, 0
Let z be -12*((-20)/8 - -2). Suppose -8 = -3*d + 4*p, 2*d + 3*p + z = -0*d. Factor -3/5*x**2 + d + 3/5*x.
-3*x*(x - 1)/5
Let f(l) = l**3 - 11*l**2 + 7*l - 19. Let i be f(11). Let t = i + -173/3. Suppose 0 + t*m - 1/3*m**2 = 0. Calculate m.
0, 1
Solve 1/4*w**3 + 3/2*w - 7/4*w**2 + 0 = 0 for w.
0, 1, 6
Let k(z) = 6*z**2 + z. Let t be k(-1). Suppose t*w = 6*w - 6. What is m in -w*m**2 + 2*m - 3*m**3 + 0*m - 5*m = 0?
-1, 0
Let u be (-7 - -4)/((-17)/17). Let p = 867/14 + -121/2. Solve 0 - p*o**2 - 2/7*o**4 - 4/7*o - 8/7*o**u = 0.
-2, -1, 0
Let t be (2 - 98/42)*0/(-2). Factor h**2 + t + 0*h**3 - h**4 - 1/2*h + 1/2*h**5.
h*(h - 1)**3*(h + 1)/2
Let w be ((-57)/(-27) + -3)*9/(-12). Factor -w*i**2 - 32/3 + 16/3*i.
-2*(i - 4)**2/3
Let h(o) = o**3 - 9*o**2 + 7*o + 10. Let p be h(8). Suppose -p = -m + 1. Factor -1/4*x**4 + 1 - 3/4*x**2 - x**m + x.
-(x - 1)*(x + 1)*(x + 2)**2/4
Let r(n) be the third derivative of n**6/60 + n**5/6 + n**4/4 - 3*n**3 - 461*n**2. Let r(s) = 0. Calculate s.
-3, 1
Let b = -26 + 29. Determine l so that 8 - 4 + b*l**2 + 6*l - 1 = 0.
-1
Let a(r) be the second derivative of -r**6/600 + r**5/100 - 2*r**3/15 - 8*r**2 + r. Let h(g) be the first derivative of a(g). Let h(q) = 0. What is q?
-1, 2
Let r(c) = c**3 + c**2 - 2*c + 1. Let v(z) = -3*z**3 + 19*z**2 + 64*z - 5. Let x(i) = -5*r(i) - v(i). Factor x(p).
-2*p*(p + 3)*(p + 9)
Suppose -2 + 4 = -2*w. Let i(a) = a**2 + a - 1. Let j(y) = 4*y**3 - y**2 - y + 1. Let h(p) = w*j(p) + 3*i(p). Find d, given that h(d) = 0.
-1, 1
Find f, given that 0 - 4*f - 1/2*f**3 - 3*f**2 = 0.
-4, -2, 0
Let h(p) be the second derivative of -p**4/4 + p**3 + 81*p - 1. Solve h(g) = 0 for g.
0, 2
Let o(j) be the third derivative of j**6/540 - j**5/270 - 5*j**4/108 - j**3/9 - 2*j**2 - 20*j. Determine f, given that o(f) = 0.
-1, 3
Solve 16803*c**3 - 16807*c**3 + 5*c**5 - c**5 = 0.
-1, 0, 1
Let m = -5081043 + 1061934648/209. Let l = m + 345/19. Factor -4/11*p**2 + 0*p - l*p**4 + 18/11*p**3 + 0 + 10/11*p**5.
2*p**2*(p - 1)**2*(5*p - 2)/11
Let k = 2916 - 2902. Determine l, given that -32*l - 32/7*l**3 - k - 2/7*l**4 - 156/7*l**2 = 0.
-7, -1
Suppose -64*r + 4*i + 13 = -69*r, -2*i = r + 11. Solve -8/7*o + 2/7*o**r + 0*o**2 + 0 = 0.
-2, 0, 2
Suppose -221*w = -34 + 34. Solve 2/5*p**3 + 0 + w*p**2 - 2/5*p = 0.
-1, 0, 1
Suppose -2*n + 4 = 0, 13*x - 11*x + 5*n = 14. Factor 2/3*q + 0*q**x - 4/9 - 2/9*q**3.
-2*(q - 1)**2*(q + 2)/9
Let y(o) = o**3 + 5*o**2 - 3*o - 7. Let t be y(-5). Let c = -516 - -1033/2. Determine j so that -t*j**2 - 1 - 3*j**4 - c*j**5 - 9/2*j - 7*j**3 = 0.
-2, -1
Suppose -21/2*d**2 + 3/2*d**4 + 15/2*d - 15/2*d**3 + 9 = 0. What is d?
-1, 1, 6
Let o(t) = t**3 - 13*t**2 - 10*t - 16. Let s be o(14). Determine u so that 10*u**3 + 0*u**3 - s + 0*u**3 - 5*u**3 + 25*u**2 + 10*u = 0.
-4, -2, 1
Let o(k) be the second derivative of -7*k**4/16 + 209*k**3/4 + 45*k**2 + 40*k - 8. Suppose o(f) = 0. Calculate f.
-2/7, 60
Let i = 9 + -5. Let k(z) = z**3 - z. Let v(b) = b**4 - 6*b**3 - b**2 + 6*b. Let j(r) = i*v(r) + 28*k(r). Suppose j(m) = 0. Calculate m.
-1, 0, 1
Let v(w) be the first derivative of 0*w**2 + 0*w - 3*w**5 + 5/6*w**6 + 5/2*w**4 + 0*w**3 + 3. Factor v(x).
5*x**3*(x - 2)*(x - 1)
Let 51/4*m**4 - 9*m**3 - 3*m**5 + 12*m - 9/4 - 21/2*m**2 = 0. Calculate m.
-1, 1/4, 1, 3
Let c(b) be the second derivative of 0*b**3 + 0*b**2 - b**5 + 0 + 0*b**4 + 16*b - 2/15*b**6. Solve c(z) = 0 for z.
-5, 0
Let g(j) be the first derivative of j**4/16 - 5*j**3/12 + j**2 - j + 2. Factor g(z).
(z - 2)**2*(z - 1)/4
Let c be (-1 + 1)/(-7 - -9). Let q(x) be the second derivative of -1/4*x**4 + x**3 - 3/2*x**2 + 3*x + c. Factor q(s).
-3*(s - 1)**2
Let q be -2 + (-156)/48 + 6. Factor 0 + q*d**2 + 0*d.
3*d**2/4
Let s(y) = 21*y**4 - 351*y**3 - 475*y**2 - 103*y. Let q(j) = 21*j**4 - 351*j**3 - 476*j**2 - 104*j. Let d(m) = 5*q(m) - 4*s(m). Solve d(b) = 0.
-1, -2/7, 0, 18
Suppose 20 + 19 = c. Let c - 16*h + h**2 - 12*h + 59 + h**2 = 0. What is h?
7
Let f = 2028 - 18250/9. Factor 0 - f*l**3 + 20/9*l**2 - 50/9*l.
-2*l*(l - 5)**2/9
Let i be ((-4)/6)/((-126)/567). Let p(g) be the first derivative of 4/7*g + 11 + 2/21*g**i + 3/7*g**2. Factor p(k).
2*(k + 1)*(k + 2)/7
Let h be 2*(-2)/(-3)*(39 - 26 - 10). Factor 0 - 4/7*l**h + 2/7*l**5 + 0*l**2 - 6/7*l**3 + 0*l.
2*l**3*(l - 3)*(l + 1)/7
Find s, given that -20 - 4/5*s**2 + 58/5*s = 0.
2, 25/2
Factor -129*l**2 - 2*l**3 + 12*l + 4*l**3 + 269*l**2 - 130*l**2.
2*l*(l + 2)*(l + 3)
Let o(a) be the second derivative of -a**5/5 + 10*a**4/3 - 50*a**3/3 + 93*a. Find f such that o(f) = 0.
0, 5
Let y be -7*((-22)/7 + 5 + -1). Let u be (y/10)/((-7)/35). Solve 0*g**2 + 0 - 2/3*g**u + 0*g = 0.
0
Let b(y) be the third derivative of 0*y**3 + 1/320*y**6 - 6*y**2 + 0*y**5 + 0*y**4 - 1/560*y**7 + 0 + 0*y. Find z such that b(z) = 0.
0, 1
Let n(f) be the third derivative of -2*f**7/525 - f**6/75 + f**5/75 + f**4/15 + 96*f**2. Find q, given that n(q) = 0.
-2, -1, 0, 1
Let y = 4 - 1. Suppose 3*c - 5*c - 10 = -v, -y*v + 5*c = -27. Find j such that 5*j**4 + 3*j**4 - 4*j**v - 4*j**3 = 0.
0, 1
Let s(g) be the third derivative of -g**6/720 + g**5/45 - g**4/16 - g**3/2 - 492*g**2. Find k, given that s(k) = 0.
-1, 3,