
2*(o + 2)*(4*o - 29)
Let a(o) be the third derivative of -2*o**7/105 + o**6/30 - 5*o**2 + 119. Factor a(w).
-4*w**3*(w - 1)
Let d(q) be the first derivative of 2*q**5/25 - 31*q**4/10 - 40*q**3/3 - 68*q**2/5 + 964. Solve d(w) = 0 for w.
-2, -1, 0, 34
Let x = 1/36707 - 40891601/110121. Let z = x - -373. Suppose 4/3*l - z*l**2 + 1/3*l**3 + 0 = 0. What is l?
0, 1, 4
Suppose 37*o - 15 = -15. Let n(h) be the third derivative of 22*h**2 + 0 + 1/20*h**5 + o*h + 1/24*h**4 - 1/120*h**6 - 1/2*h**3. Let n(z) = 0. What is z?
-1, 1, 3
Let t(s) be the second derivative of 2*s**6/9 + 169*s**5/30 + 73*s**4/9 + 32*s**3/9 + s + 5. Suppose t(f) = 0. Calculate f.
-16, -1/2, -2/5, 0
Suppose -1592 = 8*k - 12*k. Factor -4*h**2 - k - 5*h**3 + 24*h**2 + 398.
-5*h**2*(h - 4)
Let a(q) be the second derivative of q**4/18 + 22*q**3/9 - 203*q**2/3 + 130*q + 5. What is h in a(h) = 0?
-29, 7
Let r be -20*(7 - -8)/60 + 7/21*24. Solve -6/7*a**r - 12/7*a - 15/7*a**2 - 3/7 = 0 for a.
-1, -1/2
Suppose -5 = -2*i + 17. Suppose -50 = -4*p + 3*h - 2, -5*p = -4*h - 61. Factor p*s**2 + 22*s**3 - i*s**2 - 24*s**3 + s**4 + s + 1 + s**5.
(s - 1)**2*(s + 1)**3
Let n(k) be the first derivative of 36/5*k**5 - 19*k**4 + 0*k - 2*k**2 + 31 + 44/3*k**3. Suppose n(o) = 0. What is o?
0, 1/9, 1
Suppose -44 = -4*l + 4*x, 33*l + 4*x + 24 = 32*l. Let q(w) be the first derivative of 1/10*w**l - 5 + 1/15*w**3 + 0*w - 1/25*w**5 - 1/5*w**2. Factor q(t).
-t*(t - 2)*(t - 1)*(t + 1)/5
Let f be -6 + -2 - (-105 - -94). Let j(v) be the third derivative of -27*v**2 + 1/10*v**5 + 0 - 2/25*v**6 + 0*v - 16/525*v**7 + 0*v**f - 1/30*v**4. Factor j(y).
-2*y*(y + 2)*(4*y - 1)**2/5
Let q(r) be the second derivative of r**5/15 - 5*r**4/24 + r**3/6 + r**2/12 + 2*r - 294. Factor q(u).
(u - 1)**2*(8*u + 1)/6
Factor 6310 - 36*t**3 - 140*t - 3*t - 17*t - 204*t**2 - 5910.
-4*(t - 1)*(3*t + 10)**2
Let -2*o**3 + 164/3 - 236/3*o**2 + 138*o = 0. What is o?
-41, -1/3, 2
Suppose 885*h**3 + 511*h + 399*h - 6 + 367*h + 1764*h**2 - 404*h = 0. Calculate h.
-1, 2/295
Suppose 2*c = 187 - 69. Solve l + 8*l + 3*l**2 + c*l**3 + 3*l**2 - 58*l**3 + 4 = 0 for l.
-4, -1
Let f = -17 - -17. Let q be (f + 2)/(20/30). Factor -3*p**3 - 54 + 2*p**q + 33*p**2 - 2*p**3 - 72*p - 54.
-3*(p - 6)**2*(p + 1)
Let u(y) = -y**3 - 5*y**2 + 3*y - 6. Let d be u(-6). Suppose -3*c + d = 3. Suppose 4*s + 139 - 4*s**c - 139 = 0. What is s?
-1, 0, 1
Suppose -5*k**5 + 25900*k**2 - 3652*k - 15473*k - 3274*k - 4981*k - 5385*k**3 - 350*k**4 = 0. What is k?
-37, 0, 2
Let c(z) = -3*z**2 + 110*z + 73. Let g be c(37). Factor -g - 6*y - 1/4*y**2.
-(y + 12)**2/4
Let a(b) = 2*b**4 - 118*b**3 - 342*b**2 - 704*b - 512. Let o(d) = -d**4 + 109*d**3 + 341*d**2 + 704*d + 512. Let k(y) = -5*a(y) - 6*o(y). What is x in k(x) = 0?
-8, -4, -2
Let o be -2*(-8001)/6*(-5)/(-15). Let u = o + -886. Factor 3/4*c - 3/4*c**u + 3/2 - 3/2*c**2.
-3*(c - 1)*(c + 1)*(c + 2)/4
Factor 273 - 46 - 13530*w**2 - w + w**3 + 13303*w**2.
(w - 227)*(w - 1)*(w + 1)
Let g(n) be the second derivative of n**6/45 - n**5/30 - n**4/36 + 59*n**2/2 + 22*n + 1. Let l(x) be the first derivative of g(x). Determine m so that l(m) = 0.
-1/4, 0, 1
Let m(o) be the first derivative of o**6/900 + 11*o**5/600 - o**4/20 - 22*o**3/3 - 11. Let l(n) be the third derivative of m(n). Factor l(f).
(f + 6)*(2*f - 1)/5
Factor -8*d**2 - 305*d - 41*d**2 + 47*d**2 + 208 + 99*d.
-2*(d - 1)*(d + 104)
Find d, given that -94/5*d + 1/5*d**2 - 120 = 0.
-6, 100
Suppose -43 = -r + 44. Let u be 50/(-30) + 60/9. Factor -87*b**2 - u*b + r*b**2 + 5*b**3.
5*b*(b - 1)*(b + 1)
Let p(x) be the first derivative of -x**4/34 - 398*x**3/51 - 198*x**2/17 - 2808. Suppose p(m) = 0. What is m?
-198, -1, 0
Let y = 1562511/162760 + -3/32552. Factor -36/5*d - 3/5*d**4 + 0 - 21/5*d**3 - y*d**2.
-3*d*(d + 2)**2*(d + 3)/5
Let p be (-22)/(22/(-17)) - 1590/(-42). Factor p*j + 1024/7 + 48/7*j**2 + 2/7*j**3.
2*(j + 8)**3/7
Let o = 9892 - 2077319/210. Let h(t) be the third derivative of -1/840*t**6 + o*t**5 + 1/56*t**4 + 0*t**3 + 0*t + 14*t**2 + 0. Factor h(v).
-v*(v - 3)*(v + 1)/7
Let k(q) be the first derivative of -7 + 0*q + 1/180*q**6 - 1/30*q**5 + 0*q**2 + 19/3*q**3 + 0*q**4. Let v(r) be the third derivative of k(r). Factor v(t).
2*t*(t - 2)
What is p in 76*p - 5054 - 2/7*p**2 = 0?
133
Suppose -14*y + 79 = -33. Find t such that 64*t**3 - 14*t**5 - 61*t**3 - 3*t**4 + y*t**5 = 0.
-1, 0, 1/2
Suppose -990 = 253*c - 262*c. Factor 80 + 33*t + 40*t**3 - c*t + 37*t - 5*t**4 - 75*t**2.
-5*(t - 4)**2*(t - 1)*(t + 1)
Let h(n) be the second derivative of n**4/3 - 24*n**3 + 648*n**2 - 3*n + 131. Solve h(m) = 0 for m.
18
Let y(l) = 5*l**4 + l**3 + l**2 + 2*l. Let o(b) = -162*b**4 - 8*b**3 + 30*b**2 - 148*b. Let m(w) = o(w) + 32*y(w). Suppose m(a) = 0. Calculate a.
-3, 0, 1, 14
Let p be 32528/96 - (-2 - (-2)/4). Let g = p + -339. Factor 0*s - g + 4/3*s**2.
4*(s - 1)*(s + 1)/3
Let v be (127/(-4))/((-12)/96). Let r = v + -251. Factor 7/2*u**4 + 5/2 + 2*u**5 + 34*u**2 - 25*u**r - 17*u.
(u - 1)**3*(u + 5)*(4*u - 1)/2
Suppose 5*t + 2985 + 700 = -4*w, 0 = 2*w - 2*t + 1838. Let a be 0 - ((-361)/184 + (-80)/w). Suppose -a - 3/8*n**2 - 9/4*n = 0. What is n?
-5, -1
Find y such that 2/9*y**3 - 106/3*y + 316/9*y**2 + 0 = 0.
-159, 0, 1
Let d be 855/(-76) + 13 - 76/(-48). Factor -2*c**2 - d*c - 2/9*c**3 - 14/9.
-2*(c + 1)**2*(c + 7)/9
Let c(j) be the first derivative of 5*j**3/3 - 2695*j**2/2 + 2690*j + 13055. Factor c(p).
5*(p - 538)*(p - 1)
Let z be (1 + -6)*(6 - (-1314)/(-30)). Let g be ((-4)/30)/((z/(-45))/7). Let -2/3*y**4 + 2/3*y**2 + 0 - g*y**5 + 4/9*y - 2/9*y**3 = 0. Calculate y.
-2, -1, 0, 1
Let d(j) be the third derivative of j**6/1440 - 53*j**5/720 + 97*j**4/96 - 47*j**3/8 + 2*j**2 - 22. Find w, given that d(w) = 0.
3, 47
Let g(j) be the third derivative of -j**5/12 - 147*j**4/2 - 1759*j**3/6 + 2835*j**2 + 1. Suppose g(s) = 0. What is s?
-1759/5, -1
Let r(j) be the first derivative of -24/5*j**2 - 1/5*j**4 - 16/5*j + 53 + 2/15*j**6 - 44/15*j**3 + 12/25*j**5. What is t in r(t) = 0?
-2, -1, 2
Let j be (-1 + 7)/(13 - 11). Suppose 2*w = 4*v, 6*w - j*v = w + 7. Factor 0*r + 0*r**w + 0*r**4 + 0 + 0*r**3 - 1/6*r**5.
-r**5/6
Let p = -90514 - -633600/7. Factor -4/7 + 2/7*z**2 - p*z.
2*(z - 2)*(z + 1)/7
Find m, given that -9/8*m + 39/4*m**2 + 0 - 45/8*m**3 - 3*m**4 = 0.
-3, 0, 1/8, 1
Let d be 22/(-209) - 564/57 - 36/81*-24. Determine n, given that -d - 7/6*n**2 + 11/6*n = 0.
4/7, 1
Let j be ((-6)/(-5))/(110 - 113 - (0 - 5)). Find i, given that -540 - j*i**2 - 36*i = 0.
-30
Let i be (-37)/(-7) + (10 - 432/42). Let c(d) = 2*d**3 - 14*d**2 + 3*d + 19. Let o(u) = 3*u**3 - 27*u**2 + 6*u + 36. Let z(r) = i*o(r) - 9*c(r). Factor z(j).
-3*(j - 1)*(j + 1)*(j + 3)
Let a(n) be the first derivative of 40*n + 1/4*n**5 + 40*n**3 + 38 - 25/4*n**4 + 160*n**2. Let f(l) be the first derivative of a(l). Factor f(x).
5*(x - 8)**2*(x + 1)
What is k in -28558/3*k**2 - 340/3*k**3 - 9747 + 19380*k - 1/3*k**4 = 0?
-171, 1
Let r be (-2*1/10)/(8 - 102/12). Let g be 0/(-4 + 1) - -4. Factor 2/5*p**5 + 2/5*p**g - r*p**2 - 2/5*p**3 + 0*p + 0.
2*p**2*(p - 1)*(p + 1)**2/5
Let h(y) be the third derivative of 0*y**3 + 0*y**4 + 0*y - 1/42*y**7 - 19/24*y**6 - 17/6*y**5 + 49*y**2 + 0. Find z, given that h(z) = 0.
-17, -2, 0
Suppose 6*w = 6358 - 6346. Suppose 0 = 4*y + 4*m - 44, 5*m = -w*y - 0*m + 25. Factor -6*t**2 - 2/3*t**3 - 14/3 - y*t.
-2*(t + 1)**2*(t + 7)/3
Let s(x) be the second derivative of -69*x**5/20 + 7*x**4/4 + 23*x**3/2 - 21*x**2/2 + 752*x. Determine d, given that s(d) = 0.
-1, 7/23, 1
Let o be 47 - 3 - (-7 - -6). Suppose 62 + 28 = o*y. Suppose -32/5 + 108/5*r**3 - 48/5*r + 72/5*r**y = 0. Calculate r.
-2/3, 2/3
Let s(x) be the third derivative of 0 + x - 1/300*x**5 - 11/120*x**4 - 1/3*x**3 + 17*x**2. Determine t so that s(t) = 0.
-10, -1
Solve -60*y**2 - 19*y**4 + 34*y**4 - 40*y + 1365*y**5 - 1360*y**5 - 10*y**3 = 0 for y.
-2, -1, 0, 2
Suppose 0 = 3*s - 2*m - 22, 3*m + 12 + 23 = 5*s. Let j(h) = -11*h + 55. Let g be j(5). Factor 3/7*c**s + 0 - 3/7*c**2 + g*c + 0*c**3.
3*c**2*(c - 1)*(c + 1)/7
Suppose 7*v + 3 = n + 8*v, 12 = -n + 4*v. Let y be 0*(0 + n + -1). Factor -x**4 + 0*x - 2/3*x**3 + 0*x**2 - 1/3*x**5 + y.
-x**3*(x + 1)*(x + 2)/3
Factor 374/7*j**2 + 2/7*j**3 - 17672/7 + 17296/7*j.
2*(j - 1)*(j + 94)**2/7
Let q(c) 