termine p so that 1/8*p**3 + 75/8 + 103/8*p + 29/8*p**2 = 0.
-25, -3, -1
Let z(f) be the third derivative of -f**5/15 + 137*f**4/6 - 272*f**3/3 - f**2 - 630. Factor z(p).
-4*(p - 136)*(p - 1)
Let j(n) be the second derivative of 0 + 72*n + 39/2*n**3 - 1/4*n**4 + 60*n**2. Factor j(l).
-3*(l - 40)*(l + 1)
Suppose -3 - 36 = -13*b. Factor -5*p**2 + 111*p**4 + 25 - 3*p**3 - 24 - 107*p**4 + b*p.
(p - 1)**2*(p + 1)*(4*p + 1)
Let c(a) be the second derivative of -a**5/170 + a**4/102 + 10*a**3/51 + 8*a**2/17 + 1419*a. Factor c(l).
-2*(l - 4)*(l + 1)*(l + 2)/17
Let p(w) be the third derivative of -w**7/273 - 37*w**6/780 - 22*w**5/195 - w**4/13 - 3961*w**2. What is n in p(n) = 0?
-6, -1, -2/5, 0
What is k in 20*k**2 - 2*k**4 + 80830*k**3 - 80122*k**3 - 726*k**2 = 0?
0, 1, 353
Let z be (13 + -19)*-1*(-2)/(-3). Determine r, given that -5*r**2 + 2*r**2 - 9*r**2 - 11*r**3 + 6*r**4 - r**3 + 8*r + 2*r**z = 0.
-1, 0, 1/2, 2
Let n(j) be the third derivative of j**8/840 - 13*j**7/840 + 13*j**6/360 + j**5/12 + 20*j**3/3 - 95*j**2. Let t(z) be the first derivative of n(z). Factor t(r).
r*(r - 5)*(r - 2)*(2*r + 1)
Let f(h) = 32*h**5 - 149*h**4 - 212*h**3 + 329*h**2 + 31*h. Let v(b) = 2*b**5 - 10*b**4 - 14*b**3 + 22*b**2 + 2*b. Let k(i) = 2*f(i) - 31*v(i). Solve k(d) = 0.
-4, -3, 0, 1
Let k(a) be the second derivative of 10/3*a**3 - 81*a + 0 + 0*a**2 - 5/12*a**4. Let k(h) = 0. What is h?
0, 4
Suppose 69*f - 42 = 62*f. Let i(a) = -a**2 - 145*a + 2732. Let n(o) = 8*o**2 + 1306*o - 24590. Let g(x) = f*n(x) + 52*i(x). Factor g(t).
-4*(t - 37)**2
Let z(s) be the first derivative of 3*s**5/5 - 699*s**4/4 + 231*s**3 + 699*s**2/2 - 696*s - 6310. Factor z(a).
3*(a - 232)*(a - 1)**2*(a + 1)
Let t be -12*(-55)/1260 - (-1)/(-3). Let p(a) be the second derivative of 1/105*a**6 + 1/7*a**2 - 8*a + 1/7*a**4 - 2/35*a**5 - t*a**3 + 0. Factor p(l).
2*(l - 1)**4/7
Let m(t) = -t**3 - 21*t**2 - 24*t - 65. Let x be m(-20). Let p(s) be the first derivative of 4/3*s**3 - 8*s + x + 2*s**2. Solve p(z) = 0 for z.
-2, 1
Let z(o) be the second derivative of o**5/30 + 22*o**4/9 + 32*o**3 - 27*o + 102. Find t such that z(t) = 0.
-36, -8, 0
Suppose -20 = -3*m - 5, 5*b = -5*m + 35. Suppose b*d - 5*d = -63. Determine s, given that -302*s**3 - 6*s**4 - 2*s + 8*s - d*s**2 + 323*s**3 = 0.
0, 1/2, 1, 2
Let g = -4868 + 14608/3. Let v(q) be the second derivative of g*q**3 + 2*q + 0 + 0*q**2 - 2/15*q**6 + 1/3*q**4 - 2/5*q**5. Factor v(s).
-4*s*(s - 1)*(s + 1)*(s + 2)
Suppose -60 = 3940*j - 3955*j. Let o(t) be the first derivative of 2/7*t**2 + 1/7*t**j + 0*t - 8/21*t**3 + 15. Suppose o(l) = 0. What is l?
0, 1
Let l(w) be the second derivative of 1/10*w**5 + 0*w**4 - 1/3*w**3 + 0 + 1/2*w**2 - 121*w - 1/30*w**6. Factor l(x).
-(x - 1)**3*(x + 1)
Let q(g) be the second derivative of -g**5/60 + 29*g**4/18 - 913*g**3/18 + 726*g**2 + 5446*g. Factor q(j).
-(j - 36)*(j - 11)**2/3
Let y = -5636 + 5639. Let g(n) be the first derivative of -n**4 + 14*n**2 + 16*n + 8/3*n**y - 5. Factor g(i).
-4*(i - 4)*(i + 1)**2
Suppose -459 = -5*f - 434. Suppose 6*y - f - 7 = 0. Factor 16/7*h + 0 + 2*h**4 + 36/7*h**3 + 2/7*h**5 + 40/7*h**y.
2*h*(h + 1)*(h + 2)**3/7
Factor 3651*z - 26138923 - 2*z**3 + 3*z**3 + 26137098 - 1827*z**2.
(z - 1825)*(z - 1)**2
Let z(n) be the second derivative of -n**4/3 - 22*n**3/3 + 24*n**2 + 2*n + 907. Find y such that z(y) = 0.
-12, 1
Let p(x) be the first derivative of -x**5 + 45*x**4/4 + 35*x**3 + 55*x**2/2 - 1059. Factor p(m).
-5*m*(m - 11)*(m + 1)**2
Let j(y) be the third derivative of -171*y**2 - 1/51*y**4 + 1/1785*y**7 + 1/1020*y**6 + 0 + 0*y**3 - 2/255*y**5 + 0*y. Find a, given that j(a) = 0.
-2, -1, 0, 2
Let z(m) be the second derivative of 3*m**5/140 - 177*m**4/28 + 87*m**3/7 + 528*m**2/7 - 7*m + 123. Let z(k) = 0. Calculate k.
-1, 2, 176
Let m(r) be the second derivative of 5*r**4/12 - 110*r**3/3 - 230*r**2 + 3*r + 142. Factor m(y).
5*(y - 46)*(y + 2)
Suppose b**4 + 4 + 1/4*b**5 - 5*b**2 - 5/4*b**3 + b = 0. Calculate b.
-4, -2, -1, 1, 2
Let b = 17/54867 - -414545/18289. Determine q so that -b*q**3 + 64*q**2 + 62/3 - 188/3*q + 2/3*q**4 = 0.
1, 31
Let f(t) be the first derivative of -5/22*t**4 - 8/11*t + 10/33*t**3 + 83 - 2/55*t**5 + 1/33*t**6 + 4/11*t**2. Suppose f(y) = 0. Calculate y.
-2, -1, 1, 2
Let a(f) be the third derivative of -f**7/840 + 7*f**6/240 + 10*f**4/3 - 4*f**2 + 5. Let u(v) be the second derivative of a(v). Solve u(d) = 0.
0, 7
Factor -81 + 35 + 5*y**3 + 112*y**2 + 2*y**3 + 212*y - 3*y**3 + 150.
4*(y + 1)**2*(y + 26)
Let i be (0/(8 - 2))/(-2). Factor 380 - 1909 - m**3 - 286 + 6*m**3 + 95*m**2 + i*m**3 + 275*m.
5*(m - 3)*(m + 11)**2
Let z(t) = -2*t**2 + 26*t + 10. Let l(o) = o**2 - 3*o - 1. Let x(y) = 6*l(y) + z(y). Suppose x(v) = 0. What is v?
-1
Suppose 2*g + 1 - 12 = j, -5*j - 37 = -4*g. Factor -116*h**3 + 118*h**g - 7*h**2 + 2*h**4 - 3*h**2 - 3*h + 9*h.
2*h*(h - 1)**2*(h + 3)
Suppose 3*v = -3*v + 24. Let 6*f**2 + 2*f**3 - 2*f**v - 4 - 5*f**3 + 4*f**3 - 2*f + f**3 = 0. What is f?
-1, 1, 2
Let s(r) = -r**3 - 25*r**2 - r - 25. Let d be s(-25). Suppose d = 27*v + 5 - 5. Factor -1/3*y**2 + v*y + 1/3.
-(y - 1)*(y + 1)/3
Let t(g) = -12*g**3 - 938*g**2 - 17309*g + 18252. Let n(f) = -4*f**3 - 312*f**2 - 5770*f + 6084. Let x(u) = -7*n(u) + 2*t(u). Factor x(w).
4*(w - 1)*(w + 39)**2
Let x = -20 + 44. Suppose 0 = 5*i - 6 - x. Determine k, given that -4 - 48*k**2 - 3*k**5 - 27*k + 0*k**3 - i - 42*k**3 - 18*k**4 + 4 = 0.
-2, -1
Find l such that -14*l**2 + 2/11*l**3 + 2080/11*l - 7808/11 = 0.
8, 61
Let l(k) = -690*k**3 + 12987*k**2 - 27624*k + 4419. Let d(h) = 53*h**3 - 1002*h**2 + 2125*h - 340. Let o(u) = -27*d(u) - 2*l(u). Let o(y) = 0. What is y?
3/17, 2, 19
Factor 106833867/8 - 3/8*c**4 - 121401*c**2 + 52929849/4*c + 1479/4*c**3.
-3*(c - 329)**3*(c + 1)/8
Suppose 5*p = -4*s + 9, 2*s + 11 = -p - 2*s. Suppose p*y**2 + 303*y**3 + 0 + 0 - 293*y**3 = 0. What is y?
-1/2, 0
Suppose 2*w - 29 + 8 = p, -p + 3 = 0. Factor 3*v**2 - 12 - 24 + w - 2*v - 19*v.
3*(v - 8)*(v + 1)
Let n(j) be the first derivative of -j**6/54 - 13*j**5/45 - 11*j**4/9 - 32*j**3/27 - 993. Find x, given that n(x) = 0.
-8, -4, -1, 0
Let c be 31203/(-17335) - ((-178)/90 + (-4)/18). Factor 0 - 2/5*x**4 + 2*x**2 + 6/5*x + c*x**3.
-2*x*(x - 3)*(x + 1)**2/5
Let o(i) be the third derivative of 3/8*i**6 - 19*i**2 + 0*i - 19/2*i**5 - 140/3*i**3 - 205/6*i**4 + 0. Determine r, given that o(r) = 0.
-2/3, 14
Let p = -17 - -19. Suppose -2*m = z - 9, 3*z = p*m + 2*m - 3. Solve -2*v**3 + v**m - 32 + 3*v**3 - 18*v**2 + 48*v = 0 for v.
1, 4
Let o(n) be the second derivative of -5/18*n**4 + 13/9*n**3 - 7/3*n**2 + 0 - 145*n - 1/30*n**5. Determine a so that o(a) = 0.
-7, 1
Let b(a) be the first derivative of -a**6/600 + 2*a**5/75 - 7*a**4/40 + 3*a**3/5 + a**2 + 23*a + 47. Let i(x) be the second derivative of b(x). Factor i(m).
-(m - 3)**2*(m - 2)/5
Suppose -4*a - 83 = -3*d, -2*d - 9*a + 5*a + 82 = 0. Factor d*s - 42 - 3*s**2 - 13*s - 65*s.
-3*(s + 1)*(s + 14)
Let n be (0 - (-6 - -3)) + 5325 - 0. Factor -5328 + n + 12*z**3 + 4*z**4.
4*z**3*(z + 3)
Let a(m) be the third derivative of -1/42*m**7 + 1/6*m**6 - 5/12*m**5 + 0 + 0*m - 25*m**2 + 0*m**3 + 5/12*m**4. Solve a(b) = 0 for b.
0, 1, 2
Factor 446*o**4 + 49511*o**2 - 3116*o + 18539*o**3 + 15183*o**3 + 34613*o**3 + 40 + 5795*o**4 + 9427*o**2.
(o + 1)*(o + 10)*(79*o - 2)**2
Let d be 2/14 + (-35)/(-245). Solve -2/7*q**3 + 2/7*q + d*q**2 - 2/7 = 0 for q.
-1, 1
Suppose -5/6*m**2 + 0*m + 1/6*m**3 + 0 = 0. Calculate m.
0, 5
Let r(q) be the second derivative of -2*q**7/63 + 37*q**6/10 - 1291*q**5/12 - 19907*q**4/36 - 3139*q**3/6 + 1849*q**2/3 - q - 11. Solve r(m) = 0 for m.
-2, -1, 1/4, 43
Suppose -2*o = 6*x - 2*x - 34, 45 = 5*o + 2*x. Let -2999*a**4 + 10*a**2 - a + o*a + 2*a**3 + 2997*a**4 = 0. Calculate a.
-1, 0, 3
Let s(n) be the first derivative of 87*n**4 + 6272*n**3/3 + 14166*n**2 + 648*n + 487. Factor s(p).
4*(p + 9)**2*(87*p + 2)
Let q be (13701/6)/((-16)/(-32)). Factor -1122*w**2 - q*w + 5214 - 3*w**4 - 66*w**2 - 30 + 679*w - 105*w**3.
-3*(w - 1)*(w + 12)**3
Find u such that 42*u**3 + 27*u**3 - 47*u**2 + 497 - 67*u**2 - 3*u**4 - 276*u + 7 = 0.
-2, 2, 21
Let z(o) = -o**3 + 186*o**2 - 1045*o - 6296. Let p be z(180). Suppose -16/11*n - 4/11*n**p - 14/11*n**2 + 0 + 34/11*n**3 = 0. Calculate n.
-1