-8*j(m) + x(m). Suppose f(l) = 0. What is l?
-133, 0, 8
Let v(s) be the first derivative of -21*s - 33/8*s**4 + 71 - 39/2*s**3 + 3/10*s**5 - 123/4*s**2. Let v(c) = 0. What is c?
-1, 14
What is j in 1/6*j**3 - 1/3*j + 1/6*j**2 + 0 = 0?
-2, 0, 1
Let n(y) be the second derivative of 2*y**3 + 3 + 0*y**2 + 1/30*y**4 + 8*y. Let n(r) = 0. Calculate r.
-30, 0
Let i(r) be the first derivative of 9/8*r + 1/8*r**3 - 3/4*r**2 - 112. Factor i(x).
3*(x - 3)*(x - 1)/8
Let q(x) = -84*x**3 - 58*x**2 - 22*x. Let w(k) = -248*k**3 - 177*k**2 - 65*k. Let p(i) = 17*q(i) - 6*w(i). Factor p(o).
4*o*(o + 1)*(15*o + 4)
Suppose 2/3*w**3 - 332/3*w**2 + 4480*w + 9408 = 0. What is w?
-2, 84
Let m(u) be the third derivative of 4/35*u**7 + 0*u + 0*u**4 + 0*u**5 + 3/112*u**8 + 0 - 49*u**2 + 0*u**3 + 1/10*u**6. Let m(s) = 0. Calculate s.
-2, -2/3, 0
Let o(z) be the second derivative of z**6/135 - 4*z**5/45 - z**4/54 + 8*z**3/27 + 5*z - 5. Factor o(t).
2*t*(t - 8)*(t - 1)*(t + 1)/9
Let j be 37*(-9)/((-1)/1). Factor 70*l**2 - 2*l**3 - 186 + 431 + j - 646*l.
-2*(l - 17)**2*(l - 1)
Factor -2/3*d**2 - 192 + 36*d.
-2*(d - 48)*(d - 6)/3
Let q(a) = 4*a**2 - 10*a - 2. Let n be q(4). Suppose 5*o - o = 0. Find m such that 16 - n*m**3 - 141*m + 93*m - 14*m**3 + o - 100*m**2 = 0.
-2, -1, 2/9
Let y(z) = 228*z**2 - 60*z + 10. Let u(d) = -4*d**2 + 1. Let h(f) = 5*f**2 - 2. Let g(n) = -3*h(n) - 4*u(n). Let c(m) = 6*g(m) - 2*y(m). Factor c(o).
-2*(15*o - 2)**2
Let u(p) be the second derivative of 17*p**4/24 - 325*p**3/12 + 19*p**2/2 - 143*p + 5. Factor u(w).
(w - 19)*(17*w - 2)/2
Let o(i) be the second derivative of -19*i**4/42 - 7*i**3/3 - 22*i**2/7 - 1945*i. Factor o(w).
-2*(w + 2)*(19*w + 11)/7
Factor 58/17*c + 2/17*c**2 + 200/17.
2*(c + 4)*(c + 25)/17
Let b = 127/93 - -47/465. Factor 0 + b*z + 2/15*z**2.
2*z*(z + 11)/15
Let i(j) be the first derivative of -j**3/3 + 483*j**2/2 + 1458*j + 243. Factor i(m).
-(m - 486)*(m + 3)
Suppose 7 - 13 = -3*c. Factor -36 - 8*o - 112*o - 74*o**c - 107*o**2 + 81*o**2.
-4*(5*o + 3)**2
Determine m so that -7749*m**2 - m**5 + 24*m + 9*m - 10 + 16*m**3 + 7711*m**2 = 0.
-5, 1, 2
Determine w, given that w**4 + 152*w**3 - 13643*w - 794*w**2 - 424*w**2 + 3785*w**2 + 3055*w**2 + 5929 + 1939*w = 0.
-77, 1
Let w(d) be the second derivative of -d**7/28 + 13*d**6/20 - 18*d**5/5 + 17*d**4/2 - 8*d**3 - 1373*d. Suppose w(m) = 0. What is m?
0, 1, 2, 8
Let p(n) be the second derivative of 1/120*n**6 + 0 + 22*n - 1/48*n**4 + 0*n**2 + 1/20*n**5 - 1/6*n**3. Factor p(l).
l*(l - 1)*(l + 1)*(l + 4)/4
Let n = 84543 + -84541. Determine o, given that -9/4*o**3 - 27/4*o + 3/2 + 15/2*o**n = 0.
1/3, 1, 2
Let h(m) be the second derivative of 4*m**7/63 + 371*m**6/225 - 299*m**5/15 + 2894*m**4/45 - 722*m**3/15 + 15*m**2 + 715*m. Determine v so that h(v) = 0.
-25, 1/5, 1/4, 3
Suppose 5*v - 3*y = 30, -30*y = -4*v - 32*y - 20. Factor 0*u**2 + v + 0*u**4 + 1/9*u**5 - 1/9*u**3 + 0*u.
u**3*(u - 1)*(u + 1)/9
Let v be (-378)/(-198) + 6/66. Let x = -4 + 9. Let -p**3 - x*p**2 - 2 - 7*p + p**v + 2*p = 0. What is p?
-2, -1
Let r(i) be the first derivative of 14*i**2 + 40*i + 4/3*i**3 + 92. Suppose r(h) = 0. Calculate h.
-5, -2
Let j(q) be the third derivative of -q**6/40 - 101*q**5/10 - 9785*q**4/8 + 21218*q**3 - 3298*q**2. Solve j(n) = 0 for n.
-103, 4
Let x(v) be the third derivative of -v**6/30 - 71*v**5 - 47348*v**4 - 566048*v**3/3 - 69*v**2 + 21*v. Factor x(r).
-4*(r + 1)*(r + 532)**2
Let f = 2585931/24566525 - -1/1292975. Factor f*q**3 - 40/19 + 4/19*q**2 - 2*q.
2*(q - 4)*(q + 1)*(q + 5)/19
Let o(x) be the third derivative of 77 - 1/60*x**6 + 1/15*x**5 + x**2 + 0*x**4 + 0*x**3 + 0*x. Find a, given that o(a) = 0.
0, 2
Let i(a) be the third derivative of -a**5/30 - 373*a**4/12 - 1229*a**2. Solve i(w) = 0 for w.
-373, 0
Suppose 312 = -20*g + 92. Let z be (-15)/g - (-4 - -5). Factor 0 - 30/11*p**2 + z*p + 32/11*p**4 + 48/11*p**3.
2*p*(p + 2)*(4*p - 1)**2/11
Find j such that 5/3*j + 14/3 - 1/3*j**2 = 0.
-2, 7
Let c(k) be the third derivative of k**7/1050 + k**6/300 - k**5/60 - k**4/20 + 1438*k**2. Factor c(s).
s*(s - 2)*(s + 1)*(s + 3)/5
Let j(t) be the second derivative of 5/12*t**4 + 2/3*t**3 + 0 - 3/2*t**2 + 1/15*t**5 + 2*t. Let s(m) be the first derivative of j(m). Factor s(a).
2*(a + 2)*(2*a + 1)
Let r(q) be the second derivative of -q**5/12 - 5*q**4/12 + 159*q**2/2 + 2*q - 2. Let o(z) be the first derivative of r(z). Factor o(b).
-5*b*(b + 2)
Let o(k) be the second derivative of k**6/6 + 101*k**5/4 + 965*k**4/4 + 1425*k**3/2 + 2733*k. Suppose o(f) = 0. Calculate f.
-95, -3, 0
Let o(r) be the first derivative of 7*r**5/40 + 305*r**4/8 - 703*r**3/8 + 265*r**2/8 + 44*r + 777. Suppose o(a) = 0. Calculate a.
-176, -2/7, 1
Let o = -6297 + 163635/26. Let a = 115/26 + o. Let a*t**2 - 4/13*t + 0 = 0. What is t?
0, 2/7
Let r(g) be the first derivative of 0*g + 1/27*g**6 + 0*g**2 + 4/9*g**5 + 318 + 16/27*g**3 + 17/18*g**4. Factor r(y).
2*y**2*(y + 1)**2*(y + 8)/9
Let u = -328 + 1495. Find i such that -77*i - 4*i**2 - 433 - u - 83*i = 0.
-20
Let n(z) be the second derivative of 0*z**4 + 4 + 2/39*z**3 + 1/195*z**6 - 2*z - 1/65*z**5 - 1/13*z**2. Find d such that n(d) = 0.
-1, 1
Let h(g) = -46 - 11*g - 2*g**2 + 42 + 2*g**2 - 3*g**2. Let n be h(-3). Determine z, given that -1/4*z + z**n + 0 + 5/4*z**3 = 0.
-1, 0, 1/5
Suppose 2*d = -2*c - 334 - 3018, -c - 1674 = 3*d. Let j = -1677 - c. Factor j*p + 2/15*p**4 + 2/15*p**3 + 0 - 4/15*p**2.
2*p**2*(p - 1)*(p + 2)/15
Let o(r) be the first derivative of -27*r - 1/4*r**4 - 54*r**2 + 6*r**3 - 16. Let v(p) be the first derivative of o(p). Factor v(b).
-3*(b - 6)**2
Suppose 1/4*o**3 - 200*o + 155/4*o**2 + 0 = 0. Calculate o.
-160, 0, 5
Factor -1950209 + 1950209 + 2944*y - 4*y**2.
-4*y*(y - 736)
Let a(q) be the third derivative of -5*q**8/336 - 32*q**7/7 - 377*q**6/24 + 287*q**5/6 + 315*q**4/2 - 1900*q**3/3 - 154*q**2 + 3*q. Solve a(o) = 0.
-190, -2, 1
Let s = 26459/3 - 1084525/123. Let c = s - -2/205. Determine p, given that 0*p**3 - 2/5*p**4 - c*p + 0 + 14/5*p**2 = 0.
-3, 0, 1, 2
Suppose 0 = 3*t + 161 + 19. Let v = t - -63. Find r, given that -2*r**v + 9 - 2*r - 3 - 2*r**2 + 4*r - 4 = 0.
-1, 1
Suppose -4*h - 12 = 5*v + 3, -9 = 5*h + 3*v. Factor -3*q**5 + 4*q**3 - 6*q**2 + 2*q**3 - 3 - 3*q**5 + 9*q**5 + 9*q**4 - 9*q + h*q**5.
3*(q - 1)*(q + 1)**4
Let o(i) be the first derivative of i**5/35 - i**4/3 - 16*i**3/21 - 229*i + 114. Let l(z) be the first derivative of o(z). Suppose l(s) = 0. What is s?
-1, 0, 8
Let l(v) = -33*v + 6. Let n be l(-2). Let y be (((-3)/(-6))/(-1))/((-9)/n). Factor -5*r**3 - y*r**3 + 5*r**3 + 2*r**4 + 2*r**3.
2*r**3*(r - 1)
Determine o, given that 8/7*o + 0*o**2 - 2/7*o**3 + 0 = 0.
-2, 0, 2
Determine l so that 30/11*l - 2/11*l**3 + 16/11 + 12/11*l**2 = 0.
-1, 8
Let b(a) be the second derivative of -a**6/90 - 9*a**5/20 + 7*a**4/6 - a**3/3 - 3*a**2 - 66*a - 1. Let r(x) be the second derivative of b(x). Factor r(k).
-2*(k + 14)*(2*k - 1)
Let p = -1232 - -774. Let m = -258 - p. Find v, given that -3 + 8*v**3 + 3 - m*v**5 - 4*v + 196*v**5 = 0.
-1, 0, 1
Let d(x) be the second derivative of 5*x**4/12 + 25*x**3/3 - 55*x**2/2 - 5337*x. Factor d(v).
5*(v - 1)*(v + 11)
Let v = -24/1373 + 1421/2746. Solve -3/4*z**2 + 3/4*z**4 + v*z**3 - 1/2*z + 0 = 0.
-1, -2/3, 0, 1
Suppose -83*o + 78*o + 57 = t + 6*t, -5*t + 30 = 0. Solve -8/9*k**2 - 16/9 - 32/9*k + 1/3*k**4 + 8/9*k**o = 0 for k.
-2, -2/3, 2
Let j be 2*(-8 + -5 - -16). Let x(i) be the third derivative of 14*i**2 - 1/96*i**4 - 1/120*i**5 + 0*i - 1/480*i**j + 0*i**3 + 0. Solve x(u) = 0 for u.
-1, 0
Let x(g) be the first derivative of -g**5 + 15*g**4/4 + 100*g**3 + 250*g**2 - 3695. Factor x(u).
-5*u*(u - 10)*(u + 2)*(u + 5)
Let v(n) = 4*n**2 - 22*n + 40. Let l(x) = -8*x**2 + 43*x - 80. Suppose -2*j + 7*j + 30 = 0. Let a(z) = j*l(z) - 13*v(z). Find d, given that a(d) = 0.
2, 5
Let a = 3481/28175 + -4/1127. Let c(h) be the first derivative of -3/5*h**3 + 12/5*h + 3/5*h**4 - 6/5*h**2 - a*h**5 - 17. Solve c(g) = 0 for g.
-1, 1, 2
What is m in -6/5 + 1086/5*m**2 - 143*m = 0?
-3/362, 2/3
Determine t so that 0 - 78/7*t - 41/7*t**3 - 1/7*t**5 + 137/7*t**2 - 17/7*t**4 = 0.
-13, -6, 0, 1
Let v = 234302/527193 - -2/175731. Factor 0*x + 2/9*x**5 + 0 - v*x**4 + 0*x**3 + 0*x**2.
2*x**4*(x - 2)/9
Suppose -101*m + 96*m - 4*o