 + 1/40*d**5 + 0. Factor f(v).
(v + 3)*(3*v - 2)/2
Let c = -2530303/9 - -281145. Factor -70/9*a**2 + 98/9*a + 0 - 26/9*a**3 - c*a**4.
-2*a*(a - 1)*(a + 7)**2/9
Determine j so that 56/13*j**3 + 0 + 48/13*j**2 - 64/13*j - 12/13*j**4 - 10/13*j**5 = 0.
-2, 0, 4/5, 2
Let b = 959114/9 - 106568. Solve -8/9 + 8/9*p - b*p**2 = 0.
2
Let r(g) be the first derivative of -845/3*g - 5/9*g**3 - 65/3*g**2 + 60. Factor r(w).
-5*(w + 13)**2/3
Let f(i) = -43*i + 46. Let h be f(1). Suppose 0 = -h*s + 4*u + 68, -5*s + 4*u = -116 + 16. Factor s*o**3 + 17/3*o**2 + 2/3*o + 15*o**4 + 0.
o*(3*o + 1)**2*(5*o + 2)/3
Let r(h) be the third derivative of 3*h**2 + 0*h**4 + 9 + 0*h**3 - 1/15*h**5 + 0*h**6 + 2/105*h**7 + 0*h. Factor r(k).
4*k**2*(k - 1)*(k + 1)
Factor 0 - 1/4*v**3 - 2*v + 3/2*v**2.
-v*(v - 4)*(v - 2)/4
Let w(t) = -2*t**3 - t**2 - 69*t + 420. Let r be w(4). Factor 0 + m**3 + r*m + 4/5*m**2 + 1/5*m**4.
m**2*(m + 1)*(m + 4)/5
Factor 1/4*s**2 + 73984 + 272*s.
(s + 544)**2/4
Let r(i) = 3*i - 8. Let g(t) = 12*t - 31. Let h(q) = -2*g(q) + 9*r(q). Let b be h(4). Factor -10 + 5*a**b + 2 - 4*a**2 + 3*a**2 - 4*a.
4*(a - 2)*(a + 1)
Find m such that 2144/5*m**2 + 0 + 2128/5*m + 4/5*m**4 + 548/5*m**3 = 0.
-133, -2, 0
Let o = 69 - 67. Suppose 4*b - 6 = o*b. Factor -4*j**2 - 1 - 20*j**b - 25*j - 9 + 59*j**2.
-5*(j - 2)*(j - 1)*(4*j + 1)
Let n = 1678 - 1678. Let u(k) be the third derivative of 0 - 1/420*k**7 + n*k + 0*k**3 + 1/240*k**6 - 2*k**2 - 1/48*k**4 + 1/120*k**5. Factor u(c).
-c*(c - 1)**2*(c + 1)/2
Let z = 105194 - 105194. Factor 0*k**2 - 1/6*k**3 + 0*k + 1/6*k**4 + z.
k**3*(k - 1)/6
Determine t so that 220/3*t**3 - 5/3*t**4 + 205 - 610/3*t**2 - 220/3*t = 0.
-1, 1, 3, 41
Let a(y) be the first derivative of -19/3*y**3 + 1/630*y**6 + 0*y + 0*y**2 + 6 + 1/210*y**5 - 1/7*y**4. Let o(n) be the third derivative of a(n). Factor o(d).
4*(d - 2)*(d + 3)/7
Find f, given that 2/13*f**2 + 7688/13 + 248/13*f = 0.
-62
Let g(y) = 124*y**3 + 512*y**2 + 89*y + 10. Let u(v) = -123*v**3 - 510*v**2 - 89*v - 8. Let f(q) = -4*g(q) - 6*u(q). Factor f(d).
2*(d + 4)*(11*d + 1)**2
Let s(y) = 44*y**2 - 32*y + 36. Let t(p) be the second derivative of -p**4/6 - 2*p - 15. Let k(l) = s(l) + 24*t(l). Factor k(f).
-4*(f - 1)*(f + 9)
Suppose 0 = -2*k - 2 + 16. Suppose -k*w + 15 = -6. Factor 0*a**3 - 308*a - 64*a**2 - 4*a**w - 256 - 136.
-4*(a + 2)*(a + 7)**2
Let w = -3830 - -3832. Let q(u) be the first derivative of 5 + 1/2*u**4 - 10/3*u**3 + 0*u + 6*u**w. Solve q(i) = 0 for i.
0, 2, 3
Factor -208/9 - 2/9*w**2 - 70/3*w.
-2*(w + 1)*(w + 104)/9
Let l(v) be the third derivative of 1/66*v**5 - 5*v**2 + 2/33*v**4 - 16/11*v**3 + 0*v - 1/660*v**6 + 4. Find f, given that l(f) = 0.
-3, 4
Let l(n) = 10*n - 126. Let y be l(15). Factor a - 11*a - 4*a**2 - a**3 - 2*a**2 + y*a - 7*a.
-a*(a - 1)*(a + 7)
Let n(d) be the third derivative of 7*d**6/780 - 2*d**5/65 - 55*d**4/156 - 12*d**3/13 - d**2 - 15. Find i, given that n(i) = 0.
-9/7, -1, 4
Find y such that 1941/5*y**4 - 3/5*y**5 + 3382776/5*y**2 - 1442448*y - 10921392/5 - 324432/5*y**3 = 0.
-1, 6, 318
Let c(g) be the first derivative of 2*g**3/9 - 8*g**2 - 120*g + 5189. Factor c(y).
2*(y - 30)*(y + 6)/3
Let k be (-14)/(2 - 1)*(-86)/301. Let t be 3 - (-1 + (-22)/(-10)). Factor 3/5*a**k + 0 - t*a**2 + 6/5*a + 0*a**3.
3*a*(a - 1)**2*(a + 2)/5
Let m(h) = -6*h**2 + 40*h + 17. Let o be m(7). Suppose 0 = -2*n - 3*n - o*n. Find k, given that n - 1/5*k**2 - 2/5*k = 0.
-2, 0
Factor 164*y + 2676 - 614 - 2342*y + 2*y**2 + 742 - 628*y.
2*(y - 1402)*(y - 1)
Let w(z) = 17*z**4 - 6*z**3 - 23*z**2 + 87*z - 9. Let j(u) = -4*u**4 + 2*u**3 + 6*u**2 - 22*u + 2. Let g(q) = -18*j(q) - 4*w(q). Factor g(c).
4*c*(c - 3)*(c - 2)*(c + 2)
Let x = 53234/22185 - -2/4437. Let s(c) be the first derivative of x*c**5 - 2/3*c**6 + 4/3*c**3 + 0*c**2 - 3*c**4 + 0*c + 7. Determine b, given that s(b) = 0.
0, 1
Let h(d) be the second derivative of -d**7/231 + d**6/165 + 17*d**5/110 - 7*d**4/22 - 12*d**3/11 - 913*d. Find x, given that h(x) = 0.
-4, -1, 0, 3
Suppose -8*v + 10 = -3*v. Let h(l) = 352*l - 4928. Let o be h(14). Factor o - f + 1/2*f**v.
f*(f - 2)/2
Let u(y) = 3*y**2 + 31*y + 30. Let k(f) = -8*f**2 - 91*f - 90. Let a be (0 - -1)/((-576)/(-63) + -9). Let d(s) = a*u(s) + 2*k(s). Factor d(i).
5*(i + 1)*(i + 6)
Let k(l) be the second derivative of -l**4/3 + 136*l**3 - 20808*l**2 - 8*l + 34. Find g, given that k(g) = 0.
102
Let y = 136418 - 136415. Let k = -5/81 + 1225/162. Let 3 + k*u + 6*u**2 + 3/2*u**y = 0. What is u?
-2, -1
Let y(l) be the second derivative of -2*l**7/21 + 4*l**6/15 + l**5/5 - 2*l**4/3 - 291*l. Solve y(h) = 0 for h.
-1, 0, 1, 2
Let d(k) = -8*k**2 + 18*k - 58. Let x = 499 + -504. Let m(u) = 7*u**2 - 19*u + 55. Let w(g) = x*d(g) - 6*m(g). Factor w(l).
-2*(l - 10)*(l - 2)
Let q be (-6)/75 - 0 - (-12400)/30000. Factor 0 + q*o**2 + 7/3*o.
o*(o + 7)/3
Let j(k) be the first derivative of k**6/3 + 72*k**5/5 + 405*k**4/2 + 900*k**3 - 15026. Solve j(t) = 0 for t.
-15, -6, 0
Suppose -5*a + 3*v + 20 = 0, 2*v = -4*a + 3*a + 4. Solve 27*i**2 + 57*i + 48*i**5 + 43*i**4 + 18*i**a + 11*i**4 + 9 - 213*i**3 = 0 for i.
-3, -1/4, 1
Let b = 68 + -63. Suppose 3093 + 1631 = 2*c - b*i, 0 = -2*c - 2*i + 4710. Suppose -12*y + 15*y**4 - c*y**2 + 2405*y**2 + 0*y - 51*y**3 = 0. What is y?
0, 2/5, 1, 2
Let k be 0 + (-163702)/138 + (-92)/1058. Let d = -1185 - k. Factor -8/3*n**3 + 0 - 4/3*n**4 + 0*n + d*n**5 + 0*n**2.
4*n**3*(n - 2)*(n + 1)/3
Let q be ((-309)/12)/(7 - 87/12). Factor 309*j + q*j**2 + 285 + 43*j - 1497*j - 83*j**2.
5*(j - 57)*(4*j - 1)
Let y(m) be the third derivative of 1/24*m**6 - 1215/2*m**3 + m - 9/4*m**5 + 405/8*m**4 + 0 + 54*m**2. Factor y(j).
5*(j - 9)**3
Let y(a) be the second derivative of a**6/2 - 9*a**5/20 - 3*a**4 - 2*a**3 - 3796*a. Factor y(x).
3*x*(x - 2)*(x + 1)*(5*x + 2)
Suppose 9*j + 2*j + 15 = 37. Let p(x) be the first derivative of 1/2*x**4 - x**j + 8 - 2/3*x**3 + 2*x. Find m such that p(m) = 0.
-1, 1
Let l(j) be the second derivative of 3*j**5/140 + 25*j**4/28 - 53*j**3/14 + 81*j**2/14 + 53*j - 7. Factor l(r).
3*(r - 1)**2*(r + 27)/7
Solve -38000 + 21116*h - h**3 + 105*h**2 - 19316*h - 4*h**3 = 0.
-19, 20
Suppose 2*v + 2*i = 3*v - 13, 5*i + 20 = 0. Suppose v*b - 25 = -2*r, -3*b - b + 20 = 4*r. Factor 16*u**3 + 4*u**2 - 10*u**4 - 8*u**2 + 3*u**5 - u**b - 4*u**2.
2*u**2*(u - 2)**2*(u - 1)
Let p(j) = 4*j**2 - 3*j + 2. Let i be p(2). Let n be ((-16)/i)/(1/(-15)). Find t such that -n*t + 7 - 5*t**2 + 10*t + 8 = 0.
-3, 1
Let p(t) = -t**3 + 5*t**2 - 3*t. Let h be p(3). Suppose 14*q = 11*q + h. What is y in -29*y**2 - 4 - 44*y**q - 15*y**2 + y + 24*y**3 - 29*y = 0?
-1, -1/5
Let w(c) be the second derivative of c**6 + c**5/4 - 5*c**4/3 + 5*c**3/6 + 760*c. Let w(f) = 0. Calculate f.
-1, 0, 1/3, 1/2
Let o be ((-6)/(-4))/((-1)/(-2)). Suppose o = 10*u - 17. Find q, given that -11*q**5 - 3*q**5 - q**5 + 10*q**u - 6*q**4 - 4*q**4 + 15*q**3 = 0.
-1, -2/3, 0, 1
Let o = 50815/67732 + -4/16933. Suppose -5*g = 3*h - 14, h - 3*g = 4*h - 12. Factor o*b**4 + 1/2*b**h + 0*b + 1/4*b**5 + 0*b**2 + 0.
b**3*(b + 1)*(b + 2)/4
Let k = 13710 + -13708. Let g be -4*(9/(-12) + 0). Solve 0 - 1/3*a**k + 1/2*a - 1/6*a**g = 0.
-3, 0, 1
Factor 1781775*b**3 + 574*b**2 + 548*b - 1781235*b**3 - 4*b**4 + 518*b**2.
-4*b*(b - 137)*(b + 1)**2
Let s(l) be the second derivative of -l**6/90 - 8*l**5/15 - l**3 + 58*l. Let a(w) be the second derivative of s(w). Factor a(o).
-4*o*(o + 16)
Let f = 60 - 55. Suppose -w + f*w = 2*i - 20, -2*w = 6. Factor -16 + 108*y + i*y**2 - 60*y - 3*y**3 - 9*y**3.
-4*(y - 2)*(y + 2)*(3*y - 1)
Let x(c) be the third derivative of -48*c**2 - 19/5*c**4 - 41/75*c**5 - 7/300*c**6 + 0*c + 0 + 24/5*c**3. Suppose x(d) = 0. What is d?
-6, 2/7
Let o(q) be the first derivative of q**6/630 - 5*q**5/42 - 13*q**4/21 + 37*q**3 + q**2 + 187. Let j(x) be the third derivative of o(x). Factor j(c).
4*(c - 26)*(c + 1)/7
Let m(y) be the first derivative of -6*y**3 - 63*y**2 + 10*y**3 - 3*y**3 + 123*y - 143 - 121. Factor m(r).
3*(r - 41)*(r - 1)
Find m such that -239149*m**2 - 1139124*m**2 - 153664 - 4269051*m - 9*m**4 + 7050*m**3 + 3347851*m = 0.
-1/3, 392
Suppose -9*q + 62000 = -5*q + 4*h, -15502 = -q + h. Solve 15486*k**3 + 575*k**2 - 190*k - q*k**3 - 4 + 4 = 0.
0, 1/3, 38
Let x be 0/(-347)*9/6*4/(-6). Let f(g) 