. Let a be 10/(-45) + 598/18. Let f(t) = a*v(t) - 6*u(t). Factor f(c).
-3*c*(c + 1)*(c + 2)
Let l(a) be the third derivative of a**6/1980 + 7*a**5/660 + a**4/22 + 3*a**3 - 23*a**2. Let q(v) be the first derivative of l(v). What is r in q(r) = 0?
-6, -1
Let s(z) = 12*z**4 + 232*z**3 + 592*z**2 + 472*z + 164. Let m(p) = -p**4 - 21*p**3 - 54*p**2 - 43*p - 15. Let h(y) = -32*m(y) - 3*s(y). Factor h(d).
-4*(d + 1)**3*(d + 3)
Let b(p) be the second derivative of -17/20*p**5 + 10*p - 3/8*p**6 + 4/3*p**3 + 0 - 1/3*p**4 - 3/56*p**7 + 2*p**2. Find j such that b(j) = 0.
-2, -1, -2/3, 2/3
Let d(f) be the third derivative of 1/6*f**5 - 1/60*f**6 - 13*f**2 + 0*f + 0*f**3 - 1/2*f**4 + 0. Solve d(i) = 0.
0, 2, 3
Let g = -3/1355 + 1087/1355. Find j, given that -12/5*j**3 - g*j**4 + 8/5*j**2 + 48/5*j + 32/5 = 0.
-2, -1, 2
Let g(c) be the first derivative of -c**6/120 + c**5/30 + c**4/24 - c**3/3 - 6*c**2 + 10. Let h(w) be the second derivative of g(w). What is b in h(b) = 0?
-1, 1, 2
Let v = 15637 + -15637. Solve v*w + 2/7 - 2/7*w**2 = 0 for w.
-1, 1
Let r(i) be the first derivative of -39*i**5/5 + 3*i**4/2 + 39*i**3 + 30*i**2 - 12*i + 183. Determine t so that r(t) = 0.
-1, 2/13, 2
Let c be (-4)/(8/(-12) + (-5)/(-3)). Let y be 1/(c + (-52)/(-8)). Solve 8/5*s**3 + 8/5*s - 12/5*s**2 - 2/5*s**4 - y = 0.
1
Let s(i) = -2*i**2 - 4*i + 3. Let o be s(2). Let g = o + 17. Let -4*d**4 + 5*d**4 + 5*d**g + 12*d**5 - 3*d**4 = 0. Calculate d.
-1/4, 0
Suppose 16 = -9*y + 10*y. Suppose -42*u - 8*u**2 + y - 37*u + 107*u = 0. Calculate u.
-1/2, 4
Let o(f) be the third derivative of f**7/1050 + 7*f**6/600 - 2*f**5/75 - 2*f**2 - 128. Factor o(t).
t**2*(t - 1)*(t + 8)/5
Let g be ((-26)/(-39))/(4/48*4). Solve 0 + g*i**2 + 0*i**3 - 4/3*i - 2/3*i**4 = 0.
-2, 0, 1
Let n(f) be the first derivative of -2/3*f**2 - 10/9*f**3 - 1/3*f**4 + 14 + 0*f. Let n(y) = 0. What is y?
-2, -1/2, 0
Suppose 3*d - 2*d - 4 = 0. Determine m, given that -3*m**d + 0*m**2 - 12*m**3 + 3*m**2 + 3*m**5 + 9*m**3 = 0.
-1, 0, 1
Let q = -10 + 19. Factor -2 - 6*o**2 + 3*o**3 - 7*o + 4*o - o**3 + q*o.
2*(o - 1)**3
Factor 0 - 3/7*c**2 + 57/7*c.
-3*c*(c - 19)/7
Let m(k) be the third derivative of -k**7/3780 - k**6/324 - 2*k**5/135 - k**4/27 - 3*k**3/2 - 3*k**2. Let h(z) be the first derivative of m(z). Factor h(i).
-2*(i + 1)*(i + 2)**2/9
Let p = -84 - -88. Suppose 4*g**4 - 3*g**3 - 3*g**4 - 2*g**p + 2*g**2 + 2*g**4 = 0. Calculate g.
0, 1, 2
Let 10 + 5*h**3 - h - 12*h - 2*h = 0. Calculate h.
-2, 1
Solve -2/11 + 0*l + 2/11*l**2 = 0 for l.
-1, 1
Let d(y) be the second derivative of y**4/30 - y**3/5 - 28*y**2/5 - 98*y. Find w, given that d(w) = 0.
-4, 7
Let i(o) be the first derivative of o**6/57 - 28*o**5/95 + 43*o**4/38 - 52*o**3/57 - 44*o**2/19 + 80*o/19 + 55. Find y, given that i(y) = 0.
-1, 1, 2, 10
Suppose -6*j = -0*j - 984. Let -j*d**5 - 21*d**3 - d**2 - 2*d**2 - 45*d**4 + 137*d**5 = 0. Calculate d.
-1, -1/3, 0
Suppose 87 = 4*k + i, -5*k - 4*i + 28 = -78. Let 28*h - 4*h**2 - k*h - 16 + 14*h = 0. What is h?
1, 4
Let z(u) = 17*u**5 + 109*u**4 + 42*u**3 + 2*u**2 - 2*u. Let t(k) = 35*k**5 + 217*k**4 + 84*k**3 + 5*k**2 - 5*k. Let h(a) = 2*t(a) - 5*z(a). Factor h(p).
-3*p**3*(p + 7)*(5*p + 2)
Suppose 2*m + 4*s + 31 = 5, 3*m = -2*s - 23. Let y be (-87)/(-15) + (-1)/m. Solve 2*x**4 + 7*x**3 + 2*x**3 + 18*x**2 - 3*x**3 + y*x**3 = 0 for x.
-3, 0
Let -8011*r - 20488*r**2 - 6587*r**2 - 3 + 4558*r - 9 + 4593*r = 0. What is r?
2/95
Let f = 2/935 + 167/9350. Let n(t) be the second derivative of f*t**5 - 2/15*t**3 - 3*t + 0*t**2 + 0 + 1/30*t**4. Factor n(j).
2*j*(j - 1)*(j + 2)/5
Suppose 6*n = 3 + 9. Factor -30 + 11*p**2 - 3*p**2 + 13*p**n + 99*p.
3*(p + 5)*(7*p - 2)
Let x(l) be the third derivative of l**6/1140 + 56*l**5/285 + 784*l**4/57 - 282*l**2 + 2*l. Solve x(z) = 0.
-56, 0
Solve 24/11*n + 2/11*n**3 + 8/11 - 2/11*n**5 + 2*n**2 - 6/11*n**4 = 0 for n.
-2, -1, 2
Let m(h) be the second derivative of h**6/90 + h**5/10 + 13*h**4/36 + 2*h**3/3 + 2*h**2/3 - 35*h. Factor m(y).
(y + 1)**2*(y + 2)**2/3
Let b be (-1)/(-6)*((-98)/15)/(-7). Let y = 4799/45 + b. Determine m, given that 351/5*m**2 + 387/5*m**4 + 12/5 + 108/5*m**5 + y*m**3 + 108/5*m = 0.
-1, -2/3, -1/4
Let b = -178 + 349. Let j = 171 - b. Solve j + 0*o - 1/2*o**5 + 0*o**2 + 1/2*o**4 + o**3 = 0 for o.
-1, 0, 2
Let z(d) be the second derivative of -5*d**4/12 - 145*d**3/3 - 4205*d**2/2 + 21*d. Factor z(o).
-5*(o + 29)**2
Let u = -16669/10 + 1667. Determine f so that -1/10*f - 1/10*f**2 + 0 + u*f**3 + 1/10*f**4 = 0.
-1, 0, 1
Suppose 0 = -3*y - 4*l + 72, 3*l = -2*y - 2*l + 48. Solve y + 368*w**4 + 21 + 8*w**3 - 370*w**4 - 32*w - 13 = 0.
-2, 2
Let -912*m**3 + 220*m**3 + 11*m**5 - 384 - 23*m**5 + 22*m + 1907*m**2 - 619*m**2 + 152*m**4 - 662*m = 0. What is m?
-1/3, 2, 3, 4
Let j(n) = -50079372*n**4 + 14386155*n**3 - 489758*n**2 + 5892*n - 16. Let s(k) = -k**2 - 2. Let m(i) = j(i) + 4*s(i). Let m(b) = 0. Calculate b.
2/161, 1/4
Determine t, given that 2/7 - 27500/7*t**3 - 31250/7*t**4 - 148/7*t + 3600/7*t**2 = 0.
-1, 1/25
Let r(u) be the second derivative of -27/4*u**2 + 9/4*u**3 - 13*u - 3/8*u**4 + 0 + 1/40*u**5. Factor r(d).
(d - 3)**3/2
Solve -206*c + 4*c**2 + 422*c - 256*c + 100 = 0 for c.
5
Let a(z) be the first derivative of -3*z**4 + 8*z**3/3 + 38*z**2 + 24*z + 73. Factor a(l).
-4*(l - 3)*(l + 2)*(3*l + 1)
Let x(m) be the second derivative of 0 + 18*m + 1/18*m**4 - 8/9*m**3 + 16/3*m**2. What is a in x(a) = 0?
4
Suppose 138*q - 101 - 177 = -q. Determine v, given that 2*v**q + 2/3 + 2/3*v**3 + 2*v = 0.
-1
Factor o**2 - 5*o**3 - 7*o**3 + 31*o**2 + 4*o**5 + 9*o - 8*o**4 - 25*o + 0*o.
4*o*(o - 2)*(o - 1)**2*(o + 2)
Let v be (-426)/24 + 12/16. Let n be (-26)/(-104) + v/(-28). Determine c, given that -2/7*c**3 - 4/7*c + 0 - n*c**2 = 0.
-2, -1, 0
Determine p, given that -56658*p**3 - 2376*p - 18089*p**2 - 71118*p**3 + 9951*p**2 - 17998*p**2 - 234256*p**4 - 81 = 0.
-3/22
Suppose 0 = 2*j - 5*j + 6. Let h be (0 + 2)*4 + 16/(-12). Factor 2 + h*l + j*l**2.
2*(l + 3)*(3*l + 1)/3
Let y(g) be the second derivative of -5*g**4/72 + 58*g**3/9 - 23*g**2/3 - 683*g. Factor y(o).
-(o - 46)*(5*o - 2)/6
Factor 2/5*t**4 - 56/5*t**3 + 338/5 + 444/5*t**2 - 728/5*t.
2*(t - 13)**2*(t - 1)**2/5
Let u(z) be the first derivative of -4/3*z**3 + 0*z**2 - 4 + 4*z. Suppose u(l) = 0. Calculate l.
-1, 1
Factor -88*g**3 + 628*g**2 + 1296 - 1077*g + 519*g**4 - 515*g**4 - 507*g.
4*(g - 9)**2*(g - 2)**2
Suppose -w - 12*w = -91. Let l(x) = 2*x**2 - 11*x - 17. Let m be l(w). What is u in 0 + 3*u**3 + 2/3*u + 7/3*u**2 + 5/3*u**m + 1/3*u**5 = 0?
-2, -1, 0
Let z(a) be the third derivative of 0*a + 3/20*a**4 - 29*a**2 + 27/10*a**3 + 1/300*a**5 + 0. Suppose z(r) = 0. Calculate r.
-9
Let y = -28979/7 + 4140. Determine a, given that 0 + y*a + 1/7*a**2 = 0.
-1, 0
Let m(t) = -t + 4. Let v be m(2). Suppose -3*f + 0*f - z + 9 = 0, -3*f = -2*z. Factor 3*b**2 + f + 9*b + 6 - v.
3*(b + 1)*(b + 2)
Suppose 0 = -5*h - 7*h + 96. Factor h + 1 - 36*q + 42*q + q**2.
(q + 3)**2
Suppose 2*v = -3*v + 15. Suppose -v*o = -32 - 31. Find f such that -f**3 - o*f**2 + 21*f**2 = 0.
0
Let w be (-3)/72*2*(-4)/24. Let y(q) be the third derivative of 1/90*q**5 + 4*q**2 - 1/9*q**3 + 0*q - 1/360*q**6 + w*q**4 + 0. Factor y(a).
-(a - 2)*(a - 1)*(a + 1)/3
Suppose -6 - 18 = -2*s. Suppose 0 - s = 4*x, -4*x = -5*l + 12. Let l - 1/3*n - 1/6*n**2 = 0. Calculate n.
-2, 0
Suppose 0 = -v + 2, -6*v + 66 = 5*g - 3*v. Suppose 2*k + 2*k + h = g, -k + 3 = h. Factor -2/7*t**2 + 2/7*t**4 + 0 - 4/7*t + 4/7*t**k.
2*t*(t - 1)*(t + 1)*(t + 2)/7
Let a = 68 + -46. Suppose 0 = -5*n + a + 8. What is r in 3/4*r**4 - 3*r + 9/2*r**2 + 15/4*r**3 - n = 0?
-2, 1
Let v be ((-140)/32 - -4)/(16/(-128)). Solve 15/2*t + 6*t**v + 3/2 + 12*t**2 = 0.
-1, -1/2
Let w(a) be the first derivative of 0*a + 14 + 4/25*a**5 - 1/15*a**6 + 3/10*a**4 + 4/5*a**2 - 16/15*a**3. Solve w(d) = 0 for d.
-2, 0, 1, 2
Suppose -h - 2*c = -24, -3*c = 5*h + 2*c - 105. Let 4*t**5 - 2*t**4 - t**3 + 24*t**2 + 5*t**3 - h*t**4 + 4*t**4 = 0. Calculate t.
-1, 0, 2, 3
Let w(o) = 9*o**2 - 5*o - 4. Let k(x) = -x**2 - x - 1. Let u(m) = 7*m**2 - m. Let p(i) = 2*k(i) + u(i). Let v(j) = -7*p(j) + 4*w(j). What is g in v(g) = 0?
-2, 1
Let i(d) be the second derivative of -10*d**7/21 - 25*d**6/6 - 19*d**5/2 - 10*d**4/3 - 6*d + 3. Let i