3/3 - 66*n**2. Let f(x) be the first derivative of m(x). Factor f(c).
2*(c + 1)*(c + 5)
Suppose -2*d = 3*x - 1241, -101*d + 106*d = -x + 3122. Let m = d + -3117/5. What is g in m*g - 12/5*g**3 + 0 - 4*g**2 = 0?
-2, 0, 1/3
Let k be ((-6)/14)/((-49)/28*-4 - 8). Let k*u**2 + 84 - 12*u = 0. What is u?
14
Suppose 5*a - 2*a + p = 1, 4 = 4*p. Let o(l) be the third derivative of -1/21*l**3 - 4*l**2 + 0 + 1/140*l**5 + 1/168*l**4 + a*l. Factor o(b).
(b + 1)*(3*b - 2)/7
Let l(u) be the second derivative of -169*u**7/105 + 52*u**6/75 + 33*u**5/10 - 26*u**4/15 + 4*u**3/15 + 1529*u. What is v in l(v) = 0?
-1, 0, 2/13, 1
Let j(y) be the first derivative of y**5/20 - 15*y**4/16 + 13*y**3/6 + 917. Find f such that j(f) = 0.
0, 2, 13
Let o(h) be the second derivative of -3*h**5/20 - 341*h**4/12 - 679*h**3/18 - 113*h**2/6 + 518*h - 5. Let o(p) = 0. What is p?
-113, -1/3
Let p(q) be the third derivative of q**7/252 - 5*q**6/144 - 23*q**5/36 - 25*q**4/18 + 2354*q**2. Solve p(d) = 0.
-4, -1, 0, 10
Let d be (700488/(-8554))/(-46) + 24/(-26). Let 3/7*t**3 - 3/7*t - d*t**2 + 6/7 = 0. What is t?
-1, 1, 2
Factor -8/3*f - 1/3*f**2 + 16.
-(f - 4)*(f + 12)/3
Let n = 1275 + -1269. Let t(a) be the second derivative of -1/42*a**7 - 8*a + 0*a**2 + 0*a**5 - 1/15*a**n + 0*a**4 + 0 + 0*a**3. Factor t(q).
-q**4*(q + 2)
Let a(r) be the second derivative of 0 + 3/20*r**5 - 1/90*r**6 - 117*r + 0*r**2 - 2/3*r**4 + 8/9*r**3. Let a(z) = 0. What is z?
0, 1, 4
Let q(m) be the second derivative of m**4/10 - 293*m**3/15 + 194*m**2/5 + 4267*m. Solve q(r) = 0.
2/3, 97
Let -18150*g - 330*g**2 + 3*g**4 + 657/2*g**3 - 3/2*g**5 + 0 = 0. What is g?
-10, 0, 11
Find f, given that -17*f + 289 + 1/4*f**2 = 0.
34
Let l(m) be the third derivative of -m**8/336 - 22*m**7/21 + 221*m**6/120 - 151*m**2 + 6. Let l(a) = 0. Calculate a.
-221, 0, 1
Find z such that -2/3*z**3 + 369800/3 + 574*z**2 - 123840*z = 0.
1, 430
Suppose -4 = 6*j - 5*j, 4*j = -3*y - 1030. Let s = y + 344. Find h such that 18*h**4 + 0 + s*h - 15/2*h**5 + 3/2*h**3 - 18*h**2 = 0.
-1, 0, 2/5, 1, 2
Let l(m) be the first derivative of -m**6/24 - 13*m**5/20 - 21*m**4/8 + 431. Factor l(c).
-c**3*(c + 6)*(c + 7)/4
Let 1773*l + 946*l - 99*l + 3242 + 198 - 821 + l**2 = 0. Calculate l.
-2619, -1
Let r(b) be the first derivative of 3/2*b**4 + 5/3*b**3 - 114 + 0*b - 6*b**2 + 1/5*b**5. Solve r(m) = 0 for m.
-4, -3, 0, 1
Let 82*g - 13485 - 21*g**2 + 36*g**2 - 687*g + 13655 + 20*g**2 = 0. Calculate g.
2/7, 17
Let d = -367558 - -367564. Suppose 0 - 33/2*o**2 + d*o - 6*o**4 + 63/4*o**3 + 3/4*o**5 = 0. What is o?
0, 1, 2, 4
Suppose 51*f - 31 - 23 = 4*c, -5*c = -5*f - 50. Factor -4/3 + 1/3*j**f + j.
(j - 1)*(j + 4)/3
Find g, given that 1180/9*g + 174050/9*g**2 + 2/9 = 0.
-1/295
What is d in 246/7*d**2 + 2/7*d**3 + 2112/7 - 2360/7*d = 0?
-132, 1, 8
Suppose 3*d + 3*y + 4 - 19 = 0, 0 = -y. Suppose -2*t + d = 1. Let 0 - j**t - 8 - 1 + 6*j = 0. Calculate j.
3
Let s(t) be the first derivative of t**4/4 + 2*t + 48. Let l(p) = -31*p**3 - 96*p**2 + 176*p - 54. Let i(z) = -l(z) + 5*s(z). Factor i(m).
4*(m + 4)*(3*m - 2)**2
Let v = 19 + 48. Let r = 69 - v. Factor 4*m**3 + 4*m - r*m**2 + 0*m**2 - 9*m**2 + 3*m**2.
4*m*(m - 1)**2
Factor -8/5*l + 0 + 6/5*l**3 - 4/5*l**4 + 8/5*l**2 - 2/5*l**5.
-2*l*(l - 1)**2*(l + 2)**2/5
Let r(f) be the second derivative of -42 - 26/3*f**3 + 7/6*f**4 + 57/20*f**5 + 4*f**2 + 2*f + 3/5*f**6. Factor r(w).
(w + 2)**2*(3*w - 2)*(6*w - 1)
Let o be (51 + 1)/(-4) + 6 - -25. Let g be 12 + (-14)/(28/o). Factor -3/4*i - 3/4*i**g + 3/2*i**2 + 0.
-3*i*(i - 1)**2/4
Suppose 0 + 1/2*t**3 + 477481/2*t - 691*t**2 = 0. Calculate t.
0, 691
Let p = 13849 - 13825. Let q(t) be the third derivative of 1/20*t**5 + 0 + 0*t**4 + 0*t**6 - p*t**2 + 0*t + 0*t**3 - 1/70*t**7. Factor q(z).
-3*z**2*(z - 1)*(z + 1)
Let j(o) = 12*o - 3. Let x(q) = q**2 + 246*q - 168. Let f(u) = -69*j(u) + 3*x(u). Let f(r) = 0. What is r?
-3, 33
Solve -68/7*g**3 + 4/7*g**4 - 72/7*g**2 + 0*g + 0 = 0 for g.
-1, 0, 18
Let x(d) be the first derivative of d**4/4 + 4*d**3 + 33*d - 6. Let q(v) be the first derivative of x(v). Let q(t) = 0. Calculate t.
-8, 0
Let m(h) be the first derivative of 10*h**3/39 - 632*h**2/13 + 504*h/13 - 673. Solve m(o) = 0.
2/5, 126
Let u(g) be the second derivative of 46*g + 0 - 29/3*g**4 + 0*g**2 + 0*g**3 - 1/5*g**5. Factor u(v).
-4*v**2*(v + 29)
Let o(m) be the third derivative of -m**5/60 + 10*m**4/3 - 325*m**3/2 - 1376*m**2. Determine f so that o(f) = 0.
15, 65
Let s(x) be the first derivative of x**7/6300 - 2*x**6/675 - x**5/100 - x**3 + 13*x - 140. Let n(y) be the third derivative of s(y). Let n(c) = 0. Calculate c.
-1, 0, 9
Suppose 6*l + 3*l = 270. Let t(d) = -d**3 + 31*d**2 - 30*d + 2. Let r be t(l). Factor -2/7*i**r + 8/7*i + 10/7.
-2*(i - 5)*(i + 1)/7
Let j(u) be the first derivative of 3*u**5/5 + 75*u**4/4 - 3*u**3 - 219*u**2/2 + 150*u + 10248. Factor j(v).
3*(v - 1)**2*(v + 2)*(v + 25)
Find t, given that -25/3*t + 625/6 + 1/6*t**2 = 0.
25
Let p = -4258 - -4263. Let n(v) be the third derivative of -5/156*v**4 + 1/65*v**p + 0 - 37*v**2 - 1/39*v**3 + 0*v. Factor n(o).
2*(o - 1)*(6*o + 1)/13
Let k(m) be the second derivative of -m**8/1344 + m**7/252 + m**6/48 + 11*m**4/6 + m**3/6 + 2*m + 10. Let c(v) be the third derivative of k(v). Solve c(s) = 0.
-1, 0, 3
Let g = -3361 + 3372. Let b(w) be the second derivative of -1/4*w**4 + 0 + 0*w**3 + g*w + 3/2*w**2. Suppose b(p) = 0. Calculate p.
-1, 1
Suppose 222784/15 - 26888/15*z**2 - 19824/5*z - 2/15*z**4 + 156/5*z**3 = 0. What is z?
-4, 2, 118
Let q(c) be the third derivative of 1/945*c**7 + 1/45*c**6 + 8/9*c**4 + 2*c**2 + 64/27*c**3 + 0 + 26/135*c**5 - 26*c. Determine w, given that q(w) = 0.
-4, -2
Let d(y) be the second derivative of -y**7/14 - 127*y**6/5 - 65007*y**5/20 - 158571*y**4 - 560952*y**3 + 2667168*y**2 + 10013*y. Factor d(m).
-3*(m - 1)*(m + 3)*(m + 84)**3
Let l(z) = 18*z**2 + 258*z + 86. Let n be l(-14). Let 1/4*k**n + 6 + 7/2*k = 0. What is k?
-12, -2
Let t(a) = -177*a**2 - a - 9. Let i be t(-2). Let c = i - -730. Solve 24/5*k**4 - 24/5*k**2 + 12/5*k + 63/5*k**5 + 0 - c*k**3 = 0.
-1, -2/3, 0, 2/7, 1
Let w(p) be the third derivative of -p**7/2100 + 7*p**6/900 - p**5/20 + 3*p**4/20 - 19*p**3/2 + 54*p**2. Let c(g) be the first derivative of w(g). Factor c(i).
-2*(i - 3)**2*(i - 1)/5
Let h(l) = 2*l**2 + l + 2. Let d = 24 - 25. Let m be h(d). Let -7*p**4 - p**3 + 31*p**m - 7*p**3 - 8*p**3 + p**5 - 9*p**2 = 0. Calculate p.
0, 1, 3
Let g be (48/(-33))/1 + (-98)/(-49). What is l in 2/11*l**3 + g*l**2 + 2/11*l**5 + 0 - 6/11*l**4 - 4/11*l = 0?
-1, 0, 1, 2
Let a(w) be the first derivative of -3*w**5/5 + 1773*w**4/4 - 87613*w**3 + 257535*w**2/2 + 522150*w + 7700. Let a(j) = 0. What is j?
-1, 2, 295
Let y(b) be the third derivative of b**7/70 + 67*b**6/8 + 28221*b**5/20 + 27221*b**4/8 - 27889*b**3 + 69*b**2 - b. Factor y(d).
3*(d - 1)*(d + 2)*(d + 167)**2
Let m(b) be the third derivative of -22/195*b**5 + 0*b**3 + 19*b + 4/13*b**4 - 3*b**2 + 0 + 2/195*b**6 + 1/1365*b**7. Suppose m(g) = 0. Calculate g.
-12, 0, 2
Suppose -8*h - 248 = 752. Let d = h - -377/3. Suppose -d*s**3 - 10/3*s**2 - 2 - 14/3*s = 0. What is s?
-3, -1
Let s(g) be the first derivative of g**6/4 - 18*g**5/5 + 18*g**4 - 32*g**3 + 274. Find q, given that s(q) = 0.
0, 4
Let p be (5 + 0 + 23)*(2 - (-45)/(-30)). Solve -34/5*n**2 + 0*n - 38/5*n**4 - p*n**3 + 0 - 2/5*n**5 = 0 for n.
-17, -1, 0
Let t(k) be the first derivative of -k**4/14 + 46*k**3/21 + 104*k**2/7 + 216*k/7 - 5768. Factor t(j).
-2*(j - 27)*(j + 2)**2/7
Let h(s) = 17980*s**2 + 160180*s + 356465. Let k(l) = -9989*l**2 - 88989*l - 198036. Let a(p) = -11*h(p) - 20*k(p). Let a(v) = 0. What is v?
-89/20
Factor -1/2*d**3 + 12*d + 3*d**2 - 32.
-(d - 8)*(d - 2)*(d + 4)/2
Let q = -5537857/8 + 692237. Let q*x**3 - 3/8*x**5 + 0*x + 0 + 0*x**2 - 9/2*x**4 = 0. What is x?
-13, 0, 1
Let j(l) = -33*l**2 - 48*l. Let f(y) = 2*y**2 - 803*y + 789*y + 2*y**2 - 7*y**2 - 6*y**2. Let p(o) = 18*f(o) - 5*j(o). Factor p(i).
3*i*(i - 4)
Let p(s) = -s**2 - s + 5. Let n be p(-2). Determine j, given that 4*j**2 - 3*j**3 - 6*j**n + 2*j**3 - j**2 + 8*j**3 = 0.
-3, 0
Suppose -m - 3 + 8 = 0. Suppose 5*y**m - 14*y**4 + 105*y**3 + 40*y - 26*y**4 + 4*y**2 - 114*y**2 = 0. Calculate y.
0, 1, 2, 4
Let d(x) = -25*x**2 - 11504*x + 