et t(c) be the third derivative of 0 + 1/76*c**6 - 2*c**2 + 1/114*c**4 + 0*c**3 + 17/570*c**5 + 0*c. Solve t(b) = 0.
-1, -2/15, 0
Let g(d) be the second derivative of d**5/12 - 130*d**4/9 - 3275*d**3/18 - 1375*d**2/3 - 22*d - 73. Suppose g(m) = 0. What is m?
-5, -1, 110
Let o = -112701 + 112705. Let 8*k**2 - 20/3*k**3 + 2/3 + 2*k**o - 4*k = 0. What is k?
1/3, 1
Let o(n) be the first derivative of 2*n**6/3 + 12*n**5/5 - 6*n**4 - 32*n**3/3 - 2878. What is y in o(y) = 0?
-4, -1, 0, 2
Let z(u) = -11*u**2 + 43*u + 4. Let q be z(4). Let d = 4 - 2. Factor -p + 0*p**d - 7*p + q + 4*p**2 - 12.
4*(p - 3)*(p + 1)
Let w(q) = 3*q**2 + 390*q - 365. Let b(u) = -39*u**2 - 5067*u + 4749. Let g(o) = -4*b(o) - 51*w(o). Solve g(a) = 0.
-127, 1
Find l such that 604/5*l - 606/5 + 2/5*l**2 = 0.
-303, 1
Let p(c) be the first derivative of -c**5/5 - c**3/3 - 15. Let i(u) = -9*u**4 - 15*u**2 + 2. Let t(h) = -2*i(h) + 22*p(h). Factor t(b).
-4*(b - 1)**2*(b + 1)**2
Let p(y) be the second derivative of -5/2*y**2 + 1/3*y**3 + 1/48*y**4 + 0 - 91*y. Solve p(c) = 0 for c.
-10, 2
Let h(d) be the third derivative of -4 - 1/300*d**5 + 0*d + 0*d**3 - 9*d**2 - 1/15*d**4. Let h(x) = 0. What is x?
-8, 0
Let u(z) be the third derivative of -5/108*z**4 + 0*z + 1/270*z**7 + 0 - 4/27*z**3 + 17/180*z**5 + 89*z**2 - 1/27*z**6. Solve u(c) = 0.
-2/7, 1, 4
Let x(c) = c**2 - 18*c + 79. Let y be x(9). Let v be (-1 - (-4 + y)) + (-36)/8. What is r in -v*r**2 - 1/2 - r = 0?
-1
Let j(d) = -197*d + 792. Let y be j(4). Let l(s) be the third derivative of 0 + 0*s**y - 3/40*s**5 + 0*s - 18*s**2 + 1/80*s**6 + s**3. Factor l(r).
3*(r - 2)**2*(r + 1)/2
Let y(j) be the second derivative of -4*j**6/45 + 83*j**5/15 + 134*j**4/9 - 418*j**3/9 - 172*j**2 + 132*j + 11. Let y(m) = 0. What is m?
-2, -1, 3/2, 43
Let i(d) be the first derivative of -3*d**4/28 - 9*d**3/7 - 30*d**2/7 + 1451. Factor i(y).
-3*y*(y + 4)*(y + 5)/7
Solve -785/3*d**3 + 684030 + 5/6*d**4 - 237070*d + 132305/6*d**2 = 0.
6, 151
Let q(f) = 4*f**2 - 15*f - 195. Let h(j) = -4*j**2 + 16*j + 196. Let b(w) = 5*h(w) + 4*q(w). Factor b(s).
-4*(s - 10)*(s + 5)
Let d(m) be the third derivative of -m**6/1620 - m**5/270 - 7*m**3/3 - m**2 + 12*m. Let b(i) be the first derivative of d(i). Factor b(a).
-2*a*(a + 2)/9
Let n = 573 - 403. Factor 341*c**5 - 177*c**5 - n*c**5 - 14*c**4 - 3*c**3 - c**3.
-2*c**3*(c + 2)*(3*c + 1)
Factor -236/3*l - 1178/15 - 2/15*l**2.
-2*(l + 1)*(l + 589)/15
Let q(r) be the first derivative of 2*r**3/9 - 538*r**2/3 - 1078*r/3 - 2443. Find j, given that q(j) = 0.
-1, 539
Suppose 94243*h - 92043*h + 7500 - h**3 - 97*h**2 + 2*h**3 = 0. Calculate h.
-3, 50
Let a(j) be the second derivative of 136*j - 1/130*j**5 - 1/273*j**7 - 1 + 2/65*j**6 - 4/13*j**4 - 16/39*j**3 + 0*j**2. Let a(s) = 0. Calculate s.
-1, 0, 4
Let i be ((-18)/12 - -4)/((-15)/(-12)). Solve 0 - 2/5*a - 2/5*a**i = 0.
-1, 0
Factor -4/3*r**3 + 0 + 1976/3*r - 980/3*r**2.
-4*r*(r - 2)*(r + 247)/3
Let u(r) be the second derivative of 5*r**7/42 + r**6/6 - 11*r**5/2 - 50*r**4/3 - 154*r + 1. Factor u(s).
5*s**2*(s - 5)*(s + 2)*(s + 4)
Factor -124*q**2 + 23489*q**3 - 740 - 70455*q**3 + 23484*q**3 + 23486*q**3 - 868*q.
4*(q - 37)*(q + 1)*(q + 5)
Let g be (465/279)/((-3)/(-9)). Let w(s) be the second derivative of 0 + 1/5*s**g + 1/6*s**4 - 1/2*s**3 + 13*s - s**2 + 0*s**6 - 1/42*s**7. Factor w(f).
-(f - 2)*(f - 1)*(f + 1)**3
Let t(q) be the third derivative of q**5/180 + 5*q**4/9 + 13*q**3/6 - 18*q**2 + 3*q. Factor t(z).
(z + 1)*(z + 39)/3
Find x such that 16832*x + 88368*x**3 + 4410*x**4 + 160 + 2221808/5*x**2 = 0.
-10, -2/105
Factor -46*t**2 - 50*t - 18*t**3 - 120 + 9*t**3 + 64*t**3 + 161*t**2.
5*(t - 1)*(t + 2)*(11*t + 12)
Let l(n) be the second derivative of n**6/150 - 61*n**5/50 + 189*n**4/5 - 1519*n**3/3 + 34643*n**2/10 - 4784*n. Factor l(s).
(s - 101)*(s - 7)**3/5
Let v(y) = y**5 + 3*y**2 - y + 1. Let i(c) = -7*c**5 - 84*c**4 - 1691*c**3 - 13466*c**2 - 42042*c - 30214. Let n(q) = 5*i(q) + 30*v(q). Factor n(s).
-5*(s + 1)*(s + 8)**3*(s + 59)
Let p(u) be the first derivative of u**7/14 + 7*u**6/20 - 3*u**5/10 + 17*u - 68. Let h(i) be the first derivative of p(i). Factor h(r).
3*r**3*(r + 4)*(2*r - 1)/2
Suppose 2*u = -2*c + 34, 2*u = -4*c + 724 - 680. Suppose -2*l - v + 0 + 8 = 0, -4*v = 0. Factor -2/11*n**c + 0*n + 0 + 0*n**l + 0*n**2 + 2/11*n**3.
-2*n**3*(n - 1)*(n + 1)/11
Find x such that 60*x + 2/3*x**4 - 86/9*x**2 + 2/9*x**5 - 62/9*x**3 - 400/9 = 0.
-5, 1, 2, 4
Let f be (-7884)/1460 + 565/100. Suppose 6*k**2 + 0 - 9/4*k**3 + f*k**4 - 5*k = 0. What is k?
0, 2, 5
Let b(s) be the third derivative of 0*s + 5 + 1/1320*s**6 + 0*s**4 - 2*s**2 + 1/110*s**5 - 16/33*s**3. Suppose b(o) = 0. What is o?
-4, 2
Let a be 3*-2*(-6)/10. Let o = -131/21 + 697/105. Factor a*w**2 + o - 12/5*w.
2*(3*w - 1)**2/5
Let r be (-63)/84 + (-1)/(-60)*61. Let v = 4816 + -4814. Factor 2/15*t - r*t**v + 2/15.
-2*(t - 1)*(2*t + 1)/15
Let a(o) be the third derivative of 0 - 1/120*o**6 + 1/210*o**7 - 4*o - 13*o**2 + 0*o**5 + 0*o**3 + 0*o**4. Factor a(f).
f**3*(f - 1)
Let k = -142 - -138. Let z(n) = -n**4 + 7*n**3 + 31*n**2 + 23*n. Let y(j) = -4*j**3 - 16*j**2 - 12*j. Let g(s) = k*z(s) - 7*y(s). Factor g(t).
4*t*(t - 2)*(t + 1)**2
Let n(t) be the third derivative of -t**6/60 - 2*t**5/15 + 19*t**4/12 - 14*t**3/3 - 3438*t**2. Determine p, given that n(p) = 0.
-7, 1, 2
Determine l so that 2352975*l + 682*l**2 + 3875*l**2 - 140*l**2 + 2448*l**2 + 5*l**3 - 2359845 = 0.
-687, 1
Let k(u) = u**5 - 29*u**3 - 32*u**2 - 2*u - 14. Let a(m) = 3*m**5 - 86*m**3 - 97*m**2 - 7*m - 49. Let q(n) = -4*a(n) + 14*k(n). Factor q(f).
2*f**2*(f - 6)*(f + 1)*(f + 5)
Let w(g) be the first derivative of -3*g**3 + 66*g**2 + 131*g - 138. Let h(n) = 12*n**2 - 198*n - 196. Let v(q) = 5*h(q) + 7*w(q). Determine f so that v(f) = 0.
-21, -1
Suppose -7*v - 2335 = -3*k - 6*v, v - 5 = 0. Let b = 782 - k. Determine r, given that 1/3*r**b + 4/3*r + 0 = 0.
-4, 0
Let 400 - 102*a**3 - 33*a**2 + 171*a + 103*a**3 + 759 + 646 = 0. Calculate a.
-5, 19
Factor 23/2 - 25/2*y**4 + 1/2*y**5 - 47/2*y + 23*y**3 + y**2.
(y - 23)*(y - 1)**3*(y + 1)/2
Let h(w) = -1519*w - 209619. Let r be h(-138). What is q in -18/5*q**2 - 40 - 21*q - 1/5*q**r = 0?
-8, -5
Let l be 2331/(-23310)*5/(-2). Factor 1/2 + l*n**2 - 3/4*n.
(n - 2)*(n - 1)/4
Let g be (-26*(-1329)/30)/((-21)/(-10)). Let t = g - 2542/7. Factor -380/3*o**4 + 100/3*o**5 - 16/3 + 128/3*o + t*o**3 - 388/3*o**2.
4*(o - 1)**3*(5*o - 2)**2/3
Let c(z) be the third derivative of z**6/30 - 6*z**5/5 + 11*z**4/2 + 968*z**3/3 - 77*z**2 - 3*z - 1. Factor c(m).
4*(m - 11)**2*(m + 4)
Let d(g) be the first derivative of -g**8/560 - g**7/280 + g**6/30 + g**5/10 - 11*g**3/3 + 22. Let s(z) be the third derivative of d(z). Solve s(j) = 0 for j.
-2, -1, 0, 2
Let h(f) = f**3 + 2*f**2 + 8*f - 5. Suppose -3 = -3*l, 2*r + 5*l = 5*r + 20. Let c(i) = -i**3 - 3*i**2 - 15*i + 9. Let u(w) = r*h(w) - 3*c(w). Factor u(o).
-(o - 1)*(o + 2)*(2*o - 1)
Let t be (47 + -47)/((-2)/2). Let c(k) be the first derivative of -2/5*k**5 + 16 + 0*k**3 + t*k**2 + 0*k + 1/3*k**6 - k**4. Factor c(w).
2*w**3*(w - 2)*(w + 1)
Suppose -93 = -5*m + 12. Suppose -4*d = -8 - 8. Solve -m*v**5 + v**5 + 5*v**4 - 10*v**d = 0 for v.
-1/4, 0
Let u = -2054 + 2044. Let q be ((-10 - u)/11)/(-2). What is y in 2/7*y**3 - 1/7*y**4 + 1/7 + q*y**2 - 2/7*y = 0?
-1, 1
Let n be 92/(-322)*1/((-8)/84). Factor j**n - 3/2*j + 3/4*j**2 - 5/4.
(j + 1)**2*(4*j - 5)/4
Let j = -7740/7 - -1106. Find d such that -j*d**4 + 0*d**2 + 2/7*d**3 + 0*d + 0 = 0.
0, 1
Let i(o) be the first derivative of -2*o**5/5 - 5*o**4 + 64*o**3/3 + 384*o**2 - 378. Suppose i(s) = 0. What is s?
-8, 0, 6
Let f be 7825/1470 + (-279)/(-27342). Factor 4/3*x**4 + f + 8*x**3 + 52/3*x**2 + 16*x.
4*(x + 1)**2*(x + 2)**2/3
Determine o so that 1362944/17 + 528/17*o**2 - 2/17*o**3 - 46464/17*o = 0.
88
Let h(u) = u**2 - 35*u + 114. Let w be h(11). Let p be (-400)/w + (-2)/(-6). Factor 0*f**p - 2/3*f**5 + 4/3*f**2 + 2/3*f - 4/3*f**4 + 0.
-2*f*(f - 1)*(f + 1)**3/3
Let l(c) = c**3 + 9*c**2 - 34*c - 48. Let n(p) = -p**3 + 3*p**2 + p. Let r(s) = -l(s) - 2*n(s). Find x such that r(x) = 0.
-1, 4, 12
Suppose 5*a + 15 = -k, k - 3 = 33*a - 32*a. Let l(z) be the first derivative of 14 - 1/6*z**2 + 0*z**3 + 1/12*z**4 + k*z. Solve l(d) = 0 