) be the third derivative of x**8/112 + x**7/14 - 11*x**6/20 + 4*x**5/5 - 76*x**2 + 8. Suppose z(i) = 0. What is i?
-8, 0, 1, 2
Let z(j) = 77*j + 170. Let d be z(-2). Let h(v) be the second derivative of 3*v**2 - 3/40*v**6 + 5/2*v**3 + 0 + d*v - 3/16*v**5 + 5/8*v**4. Solve h(q) = 0.
-2, -1, -2/3, 2
Suppose -a - 4 = 2*v, 39*v - 44*v + 18 = -a. Let w be 3 - ((-19)/(-9))/1. Suppose -2/3*m - w + 2/9*m**v = 0. What is m?
-1, 4
Let w be (50/(-4))/(1623/(-108) - (-30 + (-10 - -25))). Let -w - 2/9*y**2 + 20*y = 0. What is y?
45
Let t(m) be the first derivative of -m**6/30 + 49*m**5/5 - 2927*m**4/4 - 9077*m**3/3 - 4588*m**2 - 15376*m/5 - 633. Solve t(s) = 0 for s.
-1, 124
Let g = 31 - 29. Solve 18*u + 6*u**3 - 20*u**g - 17 + 4 + 9 = 0.
1/3, 1, 2
Let 106*d**2 + 4/9*d**3 + 788/3*d + 944/9 = 0. What is d?
-236, -2, -1/2
Let c be 7/4*(-1)/(-7)*10/2. Let i(j) be the second derivative of 0*j**2 - 23*j + 5/6*j**4 - 5/2*j**3 + 0 + c*j**5. Factor i(v).
5*v*(v + 1)*(5*v - 3)
Suppose 9 = -12*x + 129. Suppose x*a = 9*a + 5. Suppose 3*n + 2*n**2 + 34 - a*n**2 - 34 = 0. Calculate n.
0, 1
Factor 167042 + 1/8*y**2 - 289*y.
(y - 1156)**2/8
Factor 2182*m**3 - 248*m - 2181*m**3 + 40*m**2 + 528 - 15*m**2.
(m - 4)**2*(m + 33)
Let o(s) be the third derivative of 0 - 3/7*s**3 + 0*s - 1/14*s**4 - 1/210*s**5 + 23*s**2. Factor o(d).
-2*(d + 3)**2/7
Let f = -5/2401 + 2451/24010. Let g(m) be the second derivative of f*m**6 - 1/14*m**7 + 5*m + m**3 - 5/4*m**4 + 0*m**2 + 9/20*m**5 + 0. Factor g(j).
-3*j*(j - 1)**3*(j + 2)
Let h(f) = 11*f**2 - 10*f + 2. Let w be h(-8). Solve -w + 1567 - 781 - u**2 - 30*u = 0 for u.
-30, 0
Let n(a) be the second derivative of a**7/84 + 11*a**6/60 + 39*a**5/40 + 49*a**4/24 + 5*a**3/3 + 1395*a. Factor n(b).
b*(b + 1)**2*(b + 4)*(b + 5)/2
Let t(b) = b**2 + 15*b + 29. Let l be t(-13). Let n be (-1 - 1)*(5 - l - 3). Let -2/21*i**n + 8/21*i**5 + 0*i - 16/21*i**4 + 10/21*i**3 + 0 = 0. Calculate i.
0, 1/2, 1
Let h(y) = y**2. Suppose 0 = 10*u - 13*u + 30. Let b(p) = -105*p**2 + 51*p**2 + 50*p**2 - u*p + 25. Let d(l) = 4*b(l) + 20*h(l). Find i, given that d(i) = 0.
5
Let r(j) be the third derivative of j**6/24 + 131*j**5/6 + 85805*j**4/24 - 2063*j**2. Solve r(v) = 0.
-131, 0
Let r be (-1)/21*186/(-31). Factor 96/7*v + r*v**4 - 10/7*v**3 + 0 - 16/7*v**2.
2*v*(v - 4)**2*(v + 3)/7
Suppose 2*c + 5 = f, -25 = -5*f - 8*c + 10*c. Find t, given that 15*t**3 - f*t**3 - 10 + t**4 - 7*t + 9*t**2 - 3*t**3 = 0.
-5, -2, -1, 1
Let a be (-30)/(-16) - 15807/8712. Let l(c) be the third derivative of 41*c**2 + a*c**4 - 7/33*c**3 - 1/330*c**5 + 0*c + 0. Factor l(j).
-2*(j - 7)*(j - 1)/11
Let b(r) = -34*r**2 - 5144*r - 1510. Let a be b(-151). Solve 51*o**2 + a - 99/2*o - 3/2*o**3 = 0 for o.
0, 1, 33
Let s = -109/118 - -1653/1534. Suppose -2/13*k**2 + 0 + s*k = 0. Calculate k.
0, 1
Let a(c) be the first derivative of -2/17*c**2 + 2/51*c**3 - 16/17*c + 100. Factor a(z).
2*(z - 4)*(z + 2)/17
Let k(m) = -m**2 + 10*m + 20. Let z(i) = -3*i**2 + 31*i + 78. Let p(n) = 21*k(n) - 6*z(n). Factor p(a).
-3*(a - 4)**2
Let x(a) be the first derivative of a**5/5 - 10*a**4/3 - 104*a**3/3 - 112*a**2 + 48*a - 129. Let g(b) be the first derivative of x(b). Solve g(m) = 0 for m.
-2, 14
Let c be (-2)/(-56)*49/6. Let b(n) be the second derivative of -1/24*n**4 - 1/2*n**2 - 1/80*n**5 + c*n**3 - 16*n + 0. Factor b(y).
-(y - 1)**2*(y + 4)/4
Let u = -317 + 316. Let x be (-1 - 322/28)*u/2. Factor 0 - x*i**2 - i**4 + 0*i + 5*i**3.
-i**2*(2*i - 5)**2/4
Let u(h) = -2*h**3 - 4*h**2 + h + 4. Let y be u(-2). Factor -15*t**3 + 7841*t**5 + 6*t**4 - 7838*t**5 + 14*t**2 - 3*t**4 - 5*t**y.
3*t**2*(t - 1)**2*(t + 3)
Suppose l + 653 = 349. Let o = -302 - l. Factor 0*t - 4/5*t**o + 0.
-4*t**2/5
Factor 1587*v**4 - 1592*v**4 + 3*v**3 + 169*v**2 + 92*v**3 + 291*v**2.
-5*v**2*(v - 23)*(v + 4)
Let q(j) be the third derivative of 1/8*j**3 + 0*j**4 + 21*j - 1/80*j**5 + j**2 + 0. Let q(d) = 0. Calculate d.
-1, 1
Let y(x) be the first derivative of x**4/4 + 9*x**3/2 - 15*x**2 + 86*x - 41. Let p(o) be the first derivative of y(o). Factor p(d).
3*(d - 1)*(d + 10)
Let c = 812 + -1652. Let t be ((-6)/14)/(120/c). Suppose -10/9*k**2 - 2/9*k + 2/9*k**t + 10/9 = 0. Calculate k.
-1, 1, 5
Let m(u) = 1 - 6*u**2 + 0*u + 30*u**2 - 13*u**2 - 10*u**2 + u. Let v(h) = 10*h**2 - 160*h + 3536. Let a(n) = -8*m(n) + v(n). Suppose a(j) = 0. Calculate j.
42
Let v = -2137626747/17710 - -844913/7. Let r = v - -1/230. Factor -2/11 + 0*x**3 - r*x**4 + 4/11*x**2 + 0*x.
-2*(x - 1)**2*(x + 1)**2/11
Suppose 0*o = 3*o - 36. Suppose 2*z + 4*z = o. Determine w so that -10*w + 8*w**z - 9*w**2 + 11*w = 0.
0, 1
Find b such that 64/3*b**4 + 60*b**3 + 56/3*b**2 + 0 - 32/3*b - 28/3*b**5 = 0.
-1, 0, 2/7, 4
Let j(w) be the first derivative of 0*w + 4/3*w**3 + w**2 + 6 + 1/2*w**4. Suppose j(b) = 0. Calculate b.
-1, 0
Let x(a) be the first derivative of -a**3/2 - 30*a**2 - 117*a/2 + 328. Suppose x(l) = 0. What is l?
-39, -1
Let -14*h**2 + 300 - 30*h**2 + 52914*h**3 - 260*h - 52910*h**3 = 0. What is h?
-5, 1, 15
Suppose 3*k - 4*f + 16 = 0, 4*k - 51 = -3*f - 39. Factor -1/8 + k*o + 1/8*o**2.
(o - 1)*(o + 1)/8
Let o(v) be the second derivative of 5/6*v**2 + 1/60*v**5 - 1/2*v**3 - 18*v + 0 + 1/12*v**4. Factor o(j).
(j - 1)**2*(j + 5)/3
Let m be (1 - 3 - 2) + (1 - -78). Suppose 359*l - 384*l = -m. Suppose -12*h**l + 36*h**2 + 0 + 15/4*h**5 - 9*h**4 - 12*h = 0. Calculate h.
-2, 0, 2/5, 2
Let l(w) be the first derivative of -w**3/6 - 4*w**2 - 39*w/2 + 1825. Solve l(m) = 0.
-13, -3
Let q(n) be the first derivative of 2*n**3/15 + 28*n**2/5 - 58*n/5 + 871. Solve q(p) = 0 for p.
-29, 1
Let d(b) be the second derivative of -b**5/4 + 505*b**4/12 - 4165*b**3/2 - 13005*b**2/2 + 2011*b + 2. Factor d(j).
-5*(j - 51)**2*(j + 1)
Let r(j) be the second derivative of -j**5/80 - 11*j**4/12 - 325*j**3/24 + 1875*j**2/4 - 166*j - 2. Determine c so that r(c) = 0.
-25, 6
Let u = 88 + -84. Factor 40*d**2 - 30*d**5 + 77*d**2 + 65*d**5 + 60*d - 26*d**5 + 111*d**3 + 12 + 51*d**u.
3*(d + 1)**3*(d + 2)*(3*d + 2)
Let d(r) = 175*r**3 + 455*r**2 - 11920*r + 95575. Let z(a) = 4*a**3 - a - 2. Let u(l) = -d(l) + 45*z(l). Factor u(w).
5*(w - 53)*(w - 19)**2
Let x(f) be the third derivative of -3*f**4/4 - 149*f**3/2 + 339*f**2 - 1. Let c be x(-25). Solve 0 + 3/4*m**3 - 9/4*m**2 - c*m = 0.
-1, 0, 4
Let j(v) be the first derivative of 2*v**5/315 + 17*v**4/252 + 4*v**3/63 + 3*v**2 + 9*v - 245. Let x(g) be the second derivative of j(g). Factor x(y).
2*(y + 4)*(4*y + 1)/21
Let u(l) be the first derivative of 2*l**3/21 + 142*l**2/7 + 3120*l/7 - 8209. Factor u(r).
2*(r + 12)*(r + 130)/7
Suppose s - 9 = -3. Let n(m) = 4*m**2 + 16*m - 14. Let g be n(-5). Find i such that g + s*i**2 - i**2 - 2*i**3 - 6*i + i**2 - 4 = 0.
1
Suppose 4*m + 38*m = -133*m + 350. Factor 40/7*o + 36/7*o**3 + 2/7 + 74/7*o**m.
2*(o + 1)**2*(18*o + 1)/7
Let o(z) be the second derivative of -3*z**3 - 1/6*z**4 - 8*z**2 + 81*z + 0. Factor o(g).
-2*(g + 1)*(g + 8)
Let s(b) = 2*b**2 + 69*b + 3. Let z be ((-1)/3)/((-14)/126). Let i(f) = -5*f**2 - 200*f - 10. Let q(d) = z*i(d) + 10*s(d). Factor q(o).
5*o*(o + 18)
Let f = 374 + -379. Let d be -3 - -6*f/(-10). Factor -1/2*o**3 + 0*o + 1/2*o**5 + 1/2*o**2 - 1/2*o**4 + d.
o**2*(o - 1)**2*(o + 1)/2
Let w(z) = -31*z**3 - 39*z**2 - 170*z - 120. Let g(o) = -285*o**3 - 350*o**2 - 1530*o - 1080. Let b(m) = 6*g(m) - 55*w(m). Suppose b(n) = 0. What is n?
-2, -1, 12
Let q(n) be the first derivative of 15*n**3 + 290*n**2 - 65*n - 1261. Let q(u) = 0. Calculate u.
-13, 1/9
Let h be ((-306)/2295)/((-10)/375). Find q such that -4/9*q**h + 0*q + 4/3*q**2 + 4/9*q**4 + 20/9*q**3 + 0 = 0.
-1, 0, 3
Suppose -4 = -0*m - 4*m. Let i = 3 - m. Suppose -3*n**4 + 5*n**2 + i*n**2 + 8*n**2 - 10*n - 2*n**4 = 0. What is n?
-2, 0, 1
Let z(n) = -n**3 + 3*n**2 + n - 1. Let s(c) = c**3 - 20*c**2 + 2*c + 58. Let t(l) = -5*s(l) - 10*z(l). Factor t(q).
5*(q - 2)*(q + 2)*(q + 14)
Let y(i) be the second derivative of 2*i**7/105 + 4*i**6/75 - 2*i**5/5 - 8*i**4/15 + 22*i**3/5 - 36*i**2/5 - 45*i. What is l in y(l) = 0?
-3, 1, 2
Let p(y) = -9*y - 7*y + 18*y - 20. Let n be p(11). Solve 7*q - 15*q**2 + 13*q**2 + 24*q**3 - 31*q**n + 12*q**4 + 2*q = 0 for q.
-3, 0, 1/2
Let u(q) be the third derivative of -3*q**5/100 - 217*q**4/20 + 29*q**3/2 + q**2 + 22