f -k**6/90 + 8*k**5/5 - 96*k**4 - 37*k**3/2 - k**2 + 8. Let g(r) be the first derivative of z(r). Factor g(t).
-4*(t - 24)**2
Determine w so that -6276688/15*w**2 - 2795584/15*w + 118488*w**3 - 8396/15*w**4 + 2/3*w**5 + 0 = 0.
-2/5, 0, 4, 418
Let s(z) be the third derivative of z**8/8064 - z**7/2520 - z**6/1440 - z**5/6 - z**3/2 - 4*z**2 - 5*z. Let r(o) be the third derivative of s(o). Factor r(w).
(w - 1)*(5*w + 1)/2
Let n(z) be the first derivative of -z**4/12 - 14*z**3/9 - 22*z**2/3 - 40*z/3 + 1170. Factor n(k).
-(k + 2)**2*(k + 10)/3
Let g(c) = 19*c**2 - 110*c + 86. Let j(t) = -73*t**2 + 438*t - 346. Let n(d) = 19*g(d) + 5*j(d). Factor n(y).
-4*(y - 24)*(y - 1)
Let o(i) be the second derivative of 1/100*i**5 + 1/2*i**3 + 49*i - 9/10*i**2 + 0 - 7/60*i**4. Factor o(x).
(x - 3)**2*(x - 1)/5
Suppose -2/11*i**3 - 60/11*i**2 - 306/11*i - 432/11 = 0. What is i?
-24, -3
Let p(t) = -4*t**5 - 81*t**4 + 114*t**3 - 119*t**2 - 15*t. Let z(r) = -r**5 - 20*r**4 + 27*r**3 - 30*r**2 - 4*r. Let s(g) = -4*p(g) + 15*z(g). Factor s(q).
q**2*(q - 1)**2*(q + 26)
Suppose 25*b = 14*b + 14*b. Let a = 141/437 + -5/23. What is r in -2/19*r**2 + a*r**4 + 0*r - 6/19*r**3 + 6/19*r**5 + b = 0?
-1, -1/3, 0, 1
Suppose 59*n**4 + 387*n**2 + 50*n**4 + 690 - 2*n**3 - 528*n - 699*n - 106*n**4 + 149*n**3 = 0. What is n?
-46, -5, 1
Suppose 45*f + 576 - 712 - 1214 = 0. Let x = 9 + -5. Factor 8 - x*d - 34*d**2 - d + f*d**2 + d.
-4*(d - 1)*(d + 2)
Let r be -1 + (-7)/(-2) - (27 + 275/(-10)). Let q(h) be the second derivative of -4/3*h**3 + 22*h + r*h**2 + 1/6*h**4 + 0. Determine c so that q(c) = 0.
1, 3
Let u = 239/1488 + 3/496. Let h(n) be the second derivative of -1/12*n**4 - 8*n + 1/2*n**2 - 1/20*n**5 + u*n**3 + 0. Suppose h(g) = 0. What is g?
-1, 1
Let b be 2/15 + 516/180. Find o, given that -5*o**5 + 12*o**4 - 1201*o**b + 105*o**4 + 28*o**4 + 980*o**2 + 81*o**3 + 0*o**4 = 0.
0, 1, 14
Let f(o) be the third derivative of -203*o**5/20 + 407*o**4/8 - o**3 + 886*o**2 - 1. Let f(n) = 0. What is n?
1/203, 2
Find d, given that -5620/3*d - 2/3*d**2 - 3948050/3 = 0.
-1405
Let n(c) be the first derivative of c**6/420 + c**5/70 - c**4/84 - c**3/7 - c**2/2 + 22*c + 14. Let t(d) be the second derivative of n(d). Factor t(v).
2*(v - 1)*(v + 1)*(v + 3)/7
Let z = 3124/57 + 29/19. Factor 26/3*m - 1/3*m**2 - z.
-(m - 13)**2/3
Suppose -a + 4*s - 4 = 0, -76 = -5*a - 5*s + 29. Let p be 24/a*((-20)/(-6) - 2). Determine h, given that -6*h**p - 50/3 - 20*h = 0.
-5/3
Let v(j) be the second derivative of j**4/3 + 2*j**3/3 - 144*j**2 - 8*j + 6. Factor v(t).
4*(t - 8)*(t + 9)
Let s(u) be the third derivative of -1/10*u**5 + 0*u + 0*u**3 - 1/105*u**7 + 0 - 1/12*u**6 + 3/4*u**4 + 12*u**2. Find a, given that s(a) = 0.
-3, 0, 1
Let v(d) be the second derivative of -d**5/100 + 259*d**4/60 + 26*d**3/3 + 5*d - 8. Solve v(h) = 0 for h.
-1, 0, 260
Let a = -29758 + 29762. Let j be 80/18*132/11. Find u such that j*u + 40/3*u**3 - 80/3 - 40*u**2 - 5/3*u**a = 0.
2
Suppose 4*h + 12 = -5*g, 4*h - 21 - 7 = 5*g. Factor 4*u**3 + 4*u**2 - 12*u**2 - h + 25*u - 2*u**3 - 15*u - 2.
2*(u - 2)*(u - 1)**2
Let j(z) be the third derivative of -z**6/30 + 28*z**5/15 - 69*z**4/2 + 120*z**3 + 3020*z**2. Factor j(l).
-4*(l - 15)*(l - 12)*(l - 1)
Let g = -387949 + 2721032/7. Let f = g + -769. Determine z, given that -2/7*z**3 - 2/7 - f*z - 6/7*z**2 = 0.
-1
Determine p so that 28 - 9008*p**2 - 225*p - 28 + 9003*p**2 = 0.
-45, 0
Determine x so that 61*x**4 + 11868*x**2 + 2952*x + 3870*x**3 - 509*x**4 - 227*x**4 + 1096 - 904 = 0.
-2, -2/15, 8
Suppose 82 = 29*s - 121. Suppose -1 = 10*i - 8*i - 3*n, -2*i + 5*n - s = 0. Solve 4/7 - 24/7*j**5 + 4*j**i + 0*j + 24/7*j**3 - 32/7*j**2 = 0 for j.
-1, -1/3, 1/2, 1
Let f(n) be the third derivative of 0*n + 0*n**3 - 30*n**2 + 2/39*n**4 - 1/390*n**6 + 1/1365*n**7 - 2/195*n**5 + 0. Solve f(v) = 0.
-2, 0, 2
Let y(n) = 10*n**2 + 586*n - 584. Let s(a) = -3*a**2 - a. Let h(d) = 3*s(d) + y(d). Factor h(g).
(g - 1)*(g + 584)
Let n be 36/2 + (-6230)/5880*12. Find d such that -323/7*d - 1/7*d**3 - 361/7 + n*d**2 = 0.
-1, 19
Let l(h) = -h**3 + 149*h**2 - 320*h - 1280. Let q(t) = -54*t**2 + t**3 - 20*t**2 + 92 + 548 + 160*t. Let m(f) = 4*l(f) + 9*q(f). Factor m(a).
5*(a - 8)**2*(a + 2)
Let f(a) be the first derivative of -a**4/9 + 20*a**3/27 - 14*a**2/9 + 4*a/3 + 1445. Solve f(x) = 0 for x.
1, 3
Let t(k) be the second derivative of k**7/84 + 7*k**6/60 - k**5/20 - 23*k**4/12 + 65*k**3/12 - 25*k**2/4 - k - 10. Factor t(d).
(d - 1)**3*(d + 5)**2/2
Let r be -3*(-2 + (-11)/(33/(-4))). Find k such that k**r + 0 + 2/3*k + 1/3*k**3 = 0.
-2, -1, 0
Suppose 14*w - 3700 + 3532 = 0. Let y(d) be the first derivative of -3/2*d + w + 3/2*d**2 - 1/2*d**3. What is t in y(t) = 0?
1
Let i(a) be the first derivative of 2*a**3/39 + 499*a**2/13 - 5929. Determine z, given that i(z) = 0.
-499, 0
Let j be (-300 - -5) + (2 - (-3)/(-1)). Let m = -591/2 - j. Suppose 0 + 0*t**2 + m*t**4 + 1/2*t**5 - t**3 + 0*t = 0. Calculate t.
-2, 0, 1
Let -v**4 + 1820*v + 424*v - 959*v**2 - 506 - 650 - 62*v**2 - 66*v**3 = 0. What is v?
-34, 1
Let y(g) = 270*g**3 - 80215*g**2 + 64035*g - 12795. Let x(m) = 137*m**3 - 40109*m**2 + 32017*m - 6397. Let o(a) = 5*x(a) - 3*y(a). Solve o(n) = 0 for n.
2/5, 320
Let h be 4/(-10)*460/2. Let i be 2 + -5 + (-3)/60*h. Factor -i*g + 4/5*g**2 + 4/5.
4*(g - 1)**2/5
Let y(z) = -3*z - 33*z + 4 + 13*z + 4*z**2 - 3*z**2. Let q be y(23). Factor 0 + 0*i - 3/5*i**q - 2/5*i**2 + i**3.
-i**2*(i - 1)*(3*i - 2)/5
Factor -4*s**4 + 32*s**2 + 12 + 5*s**2 - 304*s - 25*s**2 + 104*s**3 - 220.
-4*(s - 26)*(s - 2)*(s + 1)**2
Let c(g) = 25*g**4 + 13*g**3 + 11*g**2 + 11*g + 11. Let l(n) = 9*n**4 + 5*n**3 + 4*n**2 + 4*n + 4. Let o(s) = 4*c(s) - 11*l(s). Let o(q) = 0. What is q?
0, 3
Factor -4704 - 671*c + 190*c - 312*c - 124*c**2 - 539*c - 110*c - 2*c**3.
-2*(c + 7)**2*(c + 48)
Let a(i) = 8*i**5 + 11*i**4 - 5*i**3 - 15*i**2 - 3*i. Let q(m) = 9*m**5 + 12*m**4 - 6*m**3 - 17*m**2 - 3*m. Let y(j) = 5*a(j) - 4*q(j). Solve y(u) = 0 for u.
-1, -3/4, 0, 1
Factor 121636*b**2 + 2*b**3 - 124 - 2*b - 60782*b**2 - 60730*b**2.
2*(b - 1)*(b + 1)*(b + 62)
Let v be (-74 - -74)*(2 - 3/2). Solve 5*n**3 - 10*n**3 + v*n**3 - 25*n**2 = 0 for n.
-5, 0
Find x such that 10*x**4 - 5*x**4 - 330*x**3 + 330*x - 1608*x**2 + 4838 + 1603*x**2 - 4838 = 0.
-1, 0, 1, 66
Let o(t) be the first derivative of t**8/5880 + t**7/2940 - t**6/630 - 7*t**3/3 - 3*t**2 - 66. Let v(j) be the third derivative of o(j). Solve v(p) = 0.
-2, 0, 1
Let l(x) = -x**3 - x**2 + 7*x + 6. Let f be l(-3). Suppose -f*c = -7 - 2. Let -j**4 + j**c - 4*j**3 + 3*j**2 + j**3 = 0. What is j?
-3, 0, 1
Let t be (-49)/(-21)*((-112)/3528)/((-2)/204). Let -16/9 - t*d**2 + 56/9*d + 34/9*d**3 - 2/3*d**4 = 0. Calculate d.
2/3, 1, 2
Let b(s) be the second derivative of -s**5/20 - 5*s**4/12 + s**3/3 + 6*s**2 + 34*s. Let l be b(-5). Factor -106 + 60*n**l + 192*n - 77 - 113 + 40 + 4*n**3.
4*(n - 1)*(n + 8)**2
Factor -b**2 + 281*b + 80*b + 0*b**2 - b**2 + 398 + 35*b.
-2*(b - 199)*(b + 1)
Let d(m) be the third derivative of 2*m**2 + 19/96*m**4 + 0 - 24*m - 5/6*m**3 + 1/240*m**5. Factor d(u).
(u - 1)*(u + 20)/4
Let i = -4 + 8. Suppose 0 = u + 3 - 6. Factor 38 - 7 - u*g**5 + 96*g - 12*g**3 + 48*g**2 + 17 - 15*g**i.
-3*(g - 2)*(g + 1)*(g + 2)**3
Determine w, given that 0*w - 1/4*w**4 - 126*w**2 - 79/4*w**3 + 0 = 0.
-72, -7, 0
Let x = 2/31019 - -31013/93057. Let r(s) be the second derivative of 3/4*s**2 - x*s**3 - 15*s + 0 + 1/24*s**4. Determine a, given that r(a) = 0.
1, 3
Let p(o) = 2*o**2 - 83*o + 167. Let k(n) = 8*n**2 - 335*n + 671. Let q(a) = -6*k(a) + 22*p(a). Solve q(m) = 0 for m.
2, 44
Let o be (2/(-4))/(20/40). Let i be (3/o - (3 - 7))*18. Let -3 + 6*a**4 - 3/2*a**3 + 33/2*a - i*a**2 = 0. What is a?
-2, 1/4, 1
Let j(u) be the second derivative of u**5/5 - 13*u**4/3 + 8*u**3 - 632*u. Determine g, given that j(g) = 0.
0, 1, 12
Suppose f - 4*f - 27*f + 150 = 0. Let q(r) be the third derivative of 6*r**2 + 0*r - 1/4*r**f - 3*r**3 + 0 + 17/8*r**4. What is j in q(j) = 0?
2/5, 3
Suppose 105 = -37*t + 919. Suppose c = -5*u - 2*c + t, -14 = -u - 3*c. Find b, given that 24/5*b - 2/5*b**4 - 6/5*b**3 + 16/5 + 4/5*b**u = 0.
-2, -1, 2
Factor 4/7*x**3 + 1200/7 + 152/7*x**2 + 1348/7*x.
4*(x + 1)*(x + 12)*(x + 25)/7
Let s(y) be the third