or -f + 0*q + 2/21*q**2.
2*(q - 1)*(q + 1)/21
Let f(c) be the third derivative of -c**5/90 + 5*c**4/9 - 100*c**3/9 - 118*c**2. Factor f(a).
-2*(a - 10)**2/3
Let a(i) be the third derivative of i**7/35 - 287*i**6/60 + 1136*i**5/5 + 192*i**4 - 48*i**2 - 4. Let a(s) = 0. Calculate s.
-1/3, 0, 48
Suppose 3*d = -5*j + 1, 1 = -2*d - 3*j - 2*j. Suppose -9*m = -m + d*m. Find h, given that -2/5*h**2 - 1/5*h**4 + 0 + 3/5*h**3 + m*h = 0.
0, 1, 2
Factor 3/5*o**3 - 2/5*o**2 - 2/5 - 7/5*o.
(o - 2)*(o + 1)*(3*o + 1)/5
Let o(s) = -242160*s**2 + 1398*s + 10. Let d(g) = 484312*g**2 - 2797*g - 22. Let h(x) = -6*d(x) - 13*o(x). Factor h(n).
2*(348*n - 1)**2
Let m(l) be the second derivative of l**9/15120 - l**8/1344 + l**7/630 + l**4/3 + 23*l. Let g(v) be the third derivative of m(v). Solve g(f) = 0.
0, 1, 4
Factor -8/11*h + 10/11 - 2/11*h**2.
-2*(h - 1)*(h + 5)/11
Let g(d) be the second derivative of -d**8/1512 + d**7/315 - d**6/270 + 17*d**2/2 + 20*d. Let o(l) be the first derivative of g(l). Factor o(r).
-2*r**3*(r - 2)*(r - 1)/9
Let l(d) = -d**3 + 13*d**2 - 21*d - 5. Let a be l(11). Let o be (a/(-14))/(56/(-98)). Suppose o*h - 3/2*h**2 - 3/4*h**3 + 3/2 = 0. What is h?
-2, -1, 1
Find m such that -3/8*m**4 + 0*m + 0 + 0*m**2 + 1/8*m**5 - 9/4*m**3 = 0.
-3, 0, 6
Let b(o) be the first derivative of -2*o**5/65 + 17*o**4/13 - 264*o**3/13 + 1694*o**2/13 - 2662*o/13 + 384. Suppose b(m) = 0. Calculate m.
1, 11
Let i(h) be the second derivative of h**7/21 - 2*h**5/5 - h**4/3 + h**3 + 2*h**2 - 6*h + 2. What is l in i(l) = 0?
-1, 1, 2
Let l(b) = -b**3 + 8*b**2 + 4*b**3 - 7*b**2 - 2*b**3. Let a(x) = 2*x**3 + x**2 - x. Let i(h) = -a(h) + l(h). Factor i(j).
-j*(j - 1)*(j + 1)
Let r = 1123/1161 + -40/43. Let s(u) be the second derivative of -r*u**4 + 0*u**2 - 7*u + 0 - 2/27*u**3. Factor s(z).
-4*z*(z + 1)/9
Let z be (-76)/57*18/(-4). Let q(h) be the third derivative of 1/210*h**7 + 0 - 1/60*h**6 + 0*h + z*h**2 + 0*h**4 + 0*h**3 + 1/60*h**5. Factor q(a).
a**2*(a - 1)**2
Let c(n) be the third derivative of -34*n**2 + 0*n + 0*n**4 + 0 + 0*n**5 + 0*n**3 + 1/210*n**7 + 0*n**6. Suppose c(y) = 0. Calculate y.
0
Let b(z) be the second derivative of -1/20*z**4 + 7/10*z**3 + 0 - 21/100*z**5 + 3/50*z**6 + 8*z - 3/5*z**2. Solve b(x) = 0 for x.
-1, 1/3, 1, 2
Let k = 3 - -1. Suppose u = -3*f + 2*u + 56, -4*u = -k*f + 88. Find b such that 4*b - 9*b**4 + 21*b**3 - f + 17 - 16*b**2 = 0.
0, 2/3, 1
Let q(l) = -l**3 - 20*l**2 - 32*l - 246. Let y be q(-19). Solve -1/3*f**2 - y + 4/3*f = 0 for f.
1, 3
Let v = -85 - -87. Factor 6*a**2 - v - 39*a**4 + 37*a**4 - 2*a**2.
-2*(a - 1)**2*(a + 1)**2
Let l be -9*20 - 5/((-5)/3). Let q = l - -1241/7. Factor 8/7 + 0*u - 6/7*u**2 + q*u**3.
2*(u - 2)**2*(u + 1)/7
Let w(n) = -n**3 - 14*n**2 + 9*n - 46. Let b be w(-15). Let p be (16/b)/(-2) - (-59)/22. Let p*q**3 + 0 - 5/2*q**2 - 5*q = 0. Calculate q.
-1, 0, 2
Let m be (-1)/((-7520)/1505 + 2 + 3). Let g = 304 + m. Factor 16/11*j**g - 4/11*j + 0 - 10/11*j**4 - 2/11*j**2.
-2*j*(j - 1)**2*(5*j + 2)/11
Let r be (-6)/11 - 117/(-33). Let b be (-1 + 0 + 13)*r/66. Factor b*z - 8/11 + 2/11*z**2.
2*(z - 1)*(z + 4)/11
Let r(b) be the first derivative of -b**5/150 + b**4/60 + 2*b**3/15 + 13*b**2/2 - 7. Let l(d) be the second derivative of r(d). Factor l(w).
-2*(w - 2)*(w + 1)/5
Let h = 8755 - 113787/13. Factor -32/13*f**2 + 2/13*f**5 - 12/13*f**4 - 4/13 + h*f**3 + 18/13*f.
2*(f - 2)*(f - 1)**4/13
Let a(d) = 2*d**3 - 14*d**2 + 27*d - 24. Let c(z) = -z**3 + 7*z**2 - 13*z + 12. Let t(w) = -6*a(w) - 10*c(w). Solve t(v) = 0 for v.
2, 3
Suppose -d - 3*t = -10, -12 = 3*d + 2*t - 28. Suppose -4 = 3*k - d. Factor -4/3*q**4 + k*q - 2/3*q**5 + 0*q**2 + 0 - 2/3*q**3.
-2*q**3*(q + 1)**2/3
Let i(p) = 3*p - 51. Let q be i(17). Let h(t) be the first derivative of q*t - 3/8*t**2 - 1/4*t**3 + 3/20*t**5 + 6 + 3/16*t**4. Factor h(f).
3*f*(f - 1)*(f + 1)**2/4
Suppose -n - 20 = 4*h, -n + 4*h + 20 = -0*h. Let w(l) be the third derivative of 0*l**3 + 1/240*l**6 + n*l**5 - 7*l**2 + 0*l - 1/48*l**4 + 0. Factor w(i).
i*(i - 1)*(i + 1)/2
Suppose 4*o = 9*t - 13*t + 12, -3*o - t + 13 = 0. Suppose -o*b - 4*z + 0*z = -14, 4*b - 5*z - 3 = 0. Let -1/5*f + 1/5*f**b + 0 = 0. Calculate f.
0, 1
Let l = -3928 - -19646/5. Solve -3/5*c + 3/5*c**3 - l*c**2 + 6/5 = 0 for c.
-1, 1, 2
Let v(w) be the second derivative of -w**9/22680 + w**8/10080 + 3*w**4/4 + 8*w. Let n(z) be the third derivative of v(z). Factor n(i).
-2*i**3*(i - 1)/3
Let r(s) be the third derivative of -s**6/600 + s**5/150 + s**4/120 - s**3/15 - 41*s**2. Factor r(x).
-(x - 2)*(x - 1)*(x + 1)/5
Suppose 8*u - 15 = 9. Let n(a) be the first derivative of -2 - 1/5*a**5 + 0*a**u + a**2 + a - 1/2*a**4. Suppose n(m) = 0. What is m?
-1, 1
Let k be (-48)/(-88)*32/10. Let l = k + 3/55. Factor 6/5 + 3/5*m**2 - l*m.
3*(m - 2)*(m - 1)/5
Let t = 44 + -39. Factor 2*g**5 - 6*g**t + 47*g**4 - 43*g**4 + 4*g**3 - 4*g**2.
-4*g**2*(g - 1)**2*(g + 1)
Let s(b) = -3 - b + 0*b + 3 - 1. Let g(x) = x**2 + 2*x + 1. Let d(n) = 2*g(n) + 3*s(n). Factor d(w).
(w + 1)*(2*w - 1)
Let q(t) = t**2 + 11*t + 16. Let a be (-1)/((-2)/(-60)*3). Let i be q(a). Solve -3*x**2 - 1/2*x**3 - 4 - i*x = 0 for x.
-2
Let -9250*x**2 + 9255*x**2 - 2*x - 3*x = 0. What is x?
0, 1
Let q be -5 + (-1379)/(-35) - 4. Determine z so that -148/5*z**2 - 32/5 - 28/5*z**3 - q*z = 0.
-4, -1, -2/7
Suppose 3*r - 13 = l, -4 = l - 5*r + 19. Suppose -5*b + 3 = -t - 0, 0 = -l*t + 2*b + 2. Factor -4 - a**3 + 9*a**t - 9*a - 2*a**3 + 7.
-3*(a - 1)**3
Suppose -4*a = 4*m - 24, 3*m + 0*a - 4*a + 10 = 0. Let k = 6704/9 + -744. Solve k + 2/3*x**m - 16/9*x = 0.
2/3, 2
Find n such that -2/9*n**2 - 224/9*n - 6272/9 = 0.
-56
Factor 50/7*a**2 - 106/7*a + 54/7 + 2/7*a**3.
2*(a - 1)**2*(a + 27)/7
Let c = 2046 - 2039. Let f(g) be the second derivative of 3*g - 1/12*g**4 + 1/30*g**6 - 1/84*g**c + 0 + 0*g**5 + 1/12*g**3 + 0*g**2. Let f(s) = 0. Calculate s.
-1, 0, 1
Let w(l) = -2*l**4 - 10*l**3 - l**2 - 5*l - 18. Let o(g) = -g**4 - 4*g**3 - g**2 - 2*g - 8. Let f(y) = -9*o(y) + 4*w(y). Factor f(a).
a*(a - 2)*(a - 1)**2
Let m(x) = -187*x - 3366. Let g be m(-18). Factor -55*v**2 + g - 20*v + 45/4*v**4 - 30*v**3.
5*v*(v - 4)*(3*v + 2)**2/4
Let y(o) = 2*o**2 - 22*o - 7. Let t(r) = -10*r + 1. Let u(c) = 6*t(c) - 2*y(c). Factor u(x).
-4*(x - 1)*(x + 5)
Let b(u) = -8*u**4 - 58*u**3 - 40*u**2 + 91*u - 5. Let h(a) = -20*a**4 - 144*a**3 - 100*a**2 + 228*a - 12. Let k(z) = 12*b(z) - 5*h(z). Factor k(s).
4*s*(s - 1)*(s + 3)*(s + 4)
Let m = 90/139 - -1463/1390. Solve -m*f**2 - 2/5*f**3 - 2/5 - 2*f = 0.
-2, -1/4
Let a(i) = -4*i**4 + 29*i**3 + 9*i**2 - 84*i - 6. Let p(r) = -13*r**4 + 88*r**3 + 28*r**2 - 253*r - 17. Let u(n) = -17*a(n) + 6*p(n). Factor u(m).
-5*m*(m - 3)*(m - 2)*(2*m + 3)
Let i(g) = -32*g + g**2 + 38 + 88*g - 36*g. Let o be i(-18). Suppose 1/6*t**4 + 0*t + 0*t**3 + 0 - 1/6*t**o = 0. Calculate t.
-1, 0, 1
Let s = 4683/4 - 1186. Let g = s + 687/44. Factor 2/11*z**2 - g - 2/11*z.
2*(z - 2)*(z + 1)/11
Let b = 142 + -425/3. What is m in b + 1/2*m - 1/2*m**3 - 1/3*m**2 = 0?
-1, -2/3, 1
Let c be (-4464)/(-2418) + (-3)/(78/(-4)). Let o(w) be the second derivative of 3/70*w**5 - 1/105*w**6 - w - 1/7*w**3 + 0*w**c + 0 + 1/42*w**4. Solve o(n) = 0.
-1, 0, 1, 3
Suppose -n**3 + 1/4*n**4 + n + 0 - 1/4*n**2 = 0. Calculate n.
-1, 0, 1, 4
Let u(l) = -l**3 - 8*l**2 + l + 8. Let b be u(-8). Suppose b*h = 3*h. What is o in h*o - 2*o**2 - o + o**4 + 5*o**3 + o**2 - 4*o**3 = 0?
-1, 0, 1
Let f(t) = t**3 + 18*t**2 + t - 1. Let s be f(-18). Let p = 37 + s. Factor -3*c**2 + 3*c**2 - 2*c**2 - 11*c - p - c.
-2*(c + 3)**2
Factor 15/2 - 17/8*v - 1/8*v**2.
-(v - 3)*(v + 20)/8
Suppose -25 = 8*d - 33. Let g(c) be the first derivative of 2/5*c**2 + 2/15*c**3 + d - 6/5*c. Solve g(q) = 0.
-3, 1
Let b be -1 + 4 - ((-48)/(-54) + 1). Let k = b + 7/18. Factor 0 + k*w**3 + 9/2*w**2 + 0*w.
3*w**2*(w + 3)/2
Let d be (-2 + (-134)/6)/((-15)/45). Let i = d - 71. Factor -1/3*p**5 + 4/3 + 1/3*p**3 + 11/3*p**i - p**4 + 4*p.
-(p - 2)*(p + 1)**3*(p + 2)/3
Let v(n) be the second derivative of -1/190*n**5 + 0*n**3 + 1/114*n**4 + 0 + 0*n**2 + 13*n. Factor v(f).
-2*f**2*(f - 1)/19
Suppose -6*g**5 - 1544*g**3 + 8*g + 1537*g**3 + 15*g**2 - 7*g**4 + 9*g**5 - 4 = 0. Calculate g.
-1, 1/3, 2
Determine h, given that 6*h + 52*h**2 - h**4 - 6 + 4*h**