**2 + 12*j - 8*j**3 - 4*j**3.
3*j*(j + 1)*(j + 2)**2
Let i(y) = 2*y**3 + 4*y**2 - 1. Let w(m) = 12*m**3 - 178*m**2 + 1472*m + 509. Let q(x) = -6*i(x) + 2*w(x). Determine n so that q(n) = 0.
-1/3, 16
Let g(z) be the third derivative of -z**7/630 - z**6/15 - 19*z**5/60 + 67*z**4/36 + 28*z**3/3 - 405*z**2. Let g(o) = 0. What is o?
-21, -4, -1, 2
Factor 0*x**4 - 135*x**2 + 21*x**3 - 5681*x - x**4 + 5924*x.
-x*(x - 9)**2*(x - 3)
Let t(s) be the first derivative of -s**2/2 + 36*s - 4. Let r be t(36). Factor 0 + 2/9*y**2 + r*y.
2*y**2/9
Let j be (30/(-8))/(228/(-48)). Let a = j + 39/95. Determine z, given that 1/5*z**2 - a*z + 9/5 = 0.
3
Let y(t) = 75*t**2 + 89*t - 100*t - 1 + 4*t**3 + 1. Let r(g) = -g**3 - 15*g**2 + 2*g. Let m(a) = 11*r(a) + 2*y(a). Solve m(q) = 0 for q.
-5, 0
Let u = -11828 - -23659/2. Find l, given that 6 - u*l**2 + 9/2*l = 0.
-1, 4
Let h(m) be the third derivative of 0*m - 5/24*m**4 - 1/420*m**7 + 235*m**2 - m**3 - 1/1344*m**8 + 7/120*m**5 + 0 + 3/160*m**6. Find r such that h(r) = 0.
-3, -2, -1, 2
Let r(s) = -s**2 - 4*s - 1. Let i be r(-3). Suppose 0 = q - 1, 4*q - 6*q + 26 = 3*d. Factor 3 + i*u**3 + d - 11.
2*u**3
Let z be -2*3 + (-561)/(-11). Let n = z + -43. Factor -10/7 + 8/7*j + 2/7*j**n.
2*(j - 1)*(j + 5)/7
Let i = 453 - 31. Suppose 0*s + j - i = -s, 0 = -s - 4*j + 425. Find f, given that s + 2*f + f**2 - 421 = 0.
-2, 0
Let j(y) be the second derivative of -y**5/300 + y**4/30 - y**3/10 - 43*y**2 + 138*y. Let g(u) be the first derivative of j(u). Suppose g(c) = 0. Calculate c.
1, 3
Let q = 73 - 73. Suppose -2*w + z = -22, -5*z + q*z + 10 = 0. Factor -3 + 7 + 3*c + 4*c**3 + w*c**2 + c + 8*c.
4*(c + 1)**3
Let v(j) = 16*j**2 - 12*j - 13. Let l be v(-7). Let u be 3648/l - (3 - -1). Factor 2/15*r**2 + 2/15*r - u.
2*(r - 1)*(r + 2)/15
Let l(c) be the second derivative of 3*c**5/5 + 23*c**4/6 + 20*c**3/3 - 4*c**2 + c + 1585. Let l(t) = 0. Calculate t.
-2, 1/6
Let p(r) be the third derivative of -r**5/12 - 325*r**4/8 + 4252*r**2. Suppose p(t) = 0. Calculate t.
-195, 0
Let i be (-40)/(-240) - (-4)/(-24). Let r(j) be the first derivative of 19 + i*j - 1/6*j**3 - 1/4*j**2. Factor r(y).
-y*(y + 1)/2
Let t(m) be the third derivative of 0*m**3 - 1/120*m**6 + 2*m**2 + 13/24*m**4 - 1 + 1/5*m**5 + 0*m. Suppose t(q) = 0. Calculate q.
-1, 0, 13
Let p(f) be the second derivative of -f**5/240 - f**4/24 - f**3/8 + 10*f**2 - 9*f + 3. Let k(v) be the first derivative of p(v). Solve k(j) = 0.
-3, -1
Let b = -3988 - -2598. Let n = b - -4420/3. Factor 10*t**2 + 50*t + 2/3*t**3 + n.
2*(t + 5)**3/3
Find a, given that 3252 + 55*a**2 + 50*a**2 + 477 - 101*a**2 + 3756*a + 23 = 0.
-938, -1
Factor 216868*x + 6*x**2 - 4*x**3 - 216472*x - 126*x**2.
-4*x*(x - 3)*(x + 33)
Let m(c) be the third derivative of -49*c**6/60 + 23*c**5/10 - 71*c**4/48 - 3*c**3/4 - 8*c**2 + 197. Let m(v) = 0. Calculate v.
-9/98, 1/2, 1
Let l be (-5)/((-30)/(-28))*9/(-6). Suppose -4*r = 2*j + 8, -5*j - l*r + 4*r = -1. Find o, given that 0 + 4/3*o**2 - 2/3*o**3 + j*o = 0.
-1, 0, 3
Let b(f) be the third derivative of f**6/30 + 202*f**5/15 + 398*f**4/3 + 528*f**3 + 2*f**2 + 34*f - 31. Find s, given that b(s) = 0.
-198, -2
Let q(d) be the second derivative of -d**9/90720 + d**8/20160 - 22*d**4/3 - 5*d - 4. Let t(p) be the third derivative of q(p). Let t(n) = 0. Calculate n.
0, 2
Suppose 2488 - 705 + 1024*y + 558 + 731 + 4*y**3 + 112*y**2 = 0. Calculate y.
-12, -8
Let f(v) be the first derivative of 1/34*v**4 - 4/51*v**3 + 12 - 3/17*v**2 + 0*v. Factor f(o).
2*o*(o - 3)*(o + 1)/17
Let i(k) = 3*k + 10. Let b be i(2). Factor 16 - 8 + 4*u**3 - 921*u + b + 965*u + 24*u**2.
4*(u + 1)*(u + 2)*(u + 3)
Let g be 64944/4410 - 4/10 - (-136)/(-3332). Suppose -250/7 - 4*a**3 - g*a + 120/7*a**2 + 2/7*a**4 = 0. Calculate a.
-1, 5
Suppose 176*l + 44 = 187*l. Suppose -2*b = l*p + b, 0 = -3*p + 2*b + 17. Suppose -3*o**5 + 18/7*o**2 - 78/7*o**4 - 39/7*o**p + 0*o + 0 = 0. What is o?
-3, -1, 0, 2/7
Let w(s) be the second derivative of 34 + 1/60*s**5 + 0*s**2 + 0*s**3 + 2*s + 1/4*s**4. Suppose w(b) = 0. What is b?
-9, 0
Suppose 4*h + 4*p + 13 + 55 = 0, 4*p = -20. Let q be (68/170)/(h/(-5)). Suppose -1/3*s**2 + 0*s + 0 + 1/6*s**4 - q*s**3 = 0. What is s?
-1, 0, 2
Let a be (4650/(-68200))/((-9)/33). Let 11/2 + 7/2*g**2 + a*g**3 + 35/4*g = 0. What is g?
-11, -2, -1
Let g(i) be the second derivative of i**4/12 + 17*i**3/2 + 49*i**2 + 1795*i. Suppose g(x) = 0. What is x?
-49, -2
Factor 108*j**2 + 213*j**2 + 494 + 565*j - j**3 + 422*j + 78*j**2 + 93*j**2.
-(j - 494)*(j + 1)**2
Let d(z) be the first derivative of -1/4*z**4 - 5*z**2 + 0*z + 7/3*z**3 - 41. Factor d(u).
-u*(u - 5)*(u - 2)
Let r(s) be the first derivative of 2*s**2 - 8*s - 7/10*s**5 - 1/12*s**6 - 7/8*s**4 - 50 + 23/6*s**3. Solve r(x) = 0 for x.
-4, -1, 1
Let x(y) be the first derivative of -2*y**3/45 + 91*y**2/15 - 492*y/5 - 1076. Factor x(m).
-2*(m - 82)*(m - 9)/15
Let h be (-1 - -452)/41 + 0 + -8. Determine v, given that -5/3*v**h + 1/6*v**4 - 2*v**2 + 5/3*v + 11/6 = 0.
-1, 1, 11
Suppose 0 = t + 3*w + 8, 3*t + 16 = 5*t - 2*w. Factor -12*k**4 + 165 - 16*k - 182 + 18*k**2 + 11*k**t + 16*k**3.
-(k - 17)*(k - 1)*(k + 1)**2
Let i = 1242803 - 1242763. Factor -22 - 156/11*n**2 - 2/11*n**4 - i*n + 40/11*n**3.
-2*(n - 11)**2*(n + 1)**2/11
Let c be 66/(-1540)*-21*3/81. Let b(a) be the third derivative of 1/50*a**6 + 1/25*a**5 + 2/525*a**7 + 0*a**3 + 0*a - 4*a**2 + 0 + c*a**4. Factor b(j).
4*j*(j + 1)**3/5
Let v(a) = 15*a**3 + 447*a**2 - 927*a + 453. Let j(h) = -6*h**3 - 179*h**2 + 371*h - 181. Let b(o) = 12*j(o) + 5*v(o). Factor b(w).
3*(w - 1)**2*(w + 31)
Let c(n) be the first derivative of n**6/6 + 5*n**5 + 89*n**4/4 + 107*n**3/3 + 21*n**2 + 462. Determine d, given that c(d) = 0.
-21, -2, -1, 0
Let h(f) be the second derivative of 2*f**6/15 - 256*f**5/5 + 16384*f**4/3 + 4489*f. Determine z so that h(z) = 0.
0, 128
Let u(k) be the second derivative of k**4/12 - k**3/3 - 63*k**2/2 + 21*k. Solve u(j) = 0 for j.
-7, 9
Suppose 0 = 211*y - 222*y + 22. Let u be (-4)/14 - 23/(-7). Solve u*f**2 + 22*f - f**y - 23*f - f**3 = 0 for f.
0, 1
Suppose 0 = 647*g - 650*g + 9. Let x(m) be the second derivative of 4*m - 5/3*m**4 + 25/6*m**g - 5/2*m**2 + 0. Factor x(q).
-5*(q - 1)*(4*q - 1)
Suppose -m + 11 = 2*g, -2*m - 5*g + 35 = m. Determine q so that -m*q**3 + 0 - 8 + 15*q - 10*q**4 - 2 + 20*q**2 + 0 = 0.
-2, -1, 1/2, 1
Let w(y) be the third derivative of -3/50*y**5 + 0*y - 1/200*y**6 - 12 - 4/5*y**3 + 2*y**2 - 3/10*y**4. Factor w(r).
-3*(r + 2)**3/5
Let b(h) = -7*h + 36. Let a be b(4). Solve -3*k - 4 - 2 + a - 8 + 3*k**2 = 0.
-1, 2
Let l(n) be the first derivative of n**4/20 + 136*n**3/15 + 27*n**2/2 + 3180. Solve l(y) = 0 for y.
-135, -1, 0
What is y in 459*y**2 + 240*y**3 + 135*y - 69*y**2 + 3 - 1 + 3 - 20*y**2 = 0?
-1, -1/2, -1/24
Let b(z) = 9*z**2 - 59*z. Let r(g) be the third derivative of 2*g**5/15 - 29*g**4/12 + 85*g**2. Let k(m) = 3*b(m) - 4*r(m). Suppose k(q) = 0. Calculate q.
0, 11
Suppose 5*v - 845 = -j + 2*v, -5*v - 10 = 0. Factor -429*q**2 - 125*q - 427*q**2 + j*q**2.
-5*q*(q + 25)
Let 99/2*w**2 + 3/2*w**5 + 0*w - 39/2*w**4 + 0 + 57/2*w**3 = 0. Calculate w.
-1, 0, 3, 11
Let x(r) be the second derivative of 10*r**2 + 35/12*r**3 - 94*r - 5/24*r**4 + 2. Suppose x(o) = 0. What is o?
-1, 8
Let m(i) be the first derivative of -i**3/2 + 348*i**2 - 80736*i + 1438. Find u such that m(u) = 0.
232
Let g(t) = -20*t**2 + 8*t + 44. Let v(l) = 7*l**2 - 2*l - 15. Suppose 120*q - 95*q + 75 = 0. Let p(j) = q*g(j) - 8*v(j). Factor p(a).
4*(a - 3)*(a + 1)
Let h(j) be the first derivative of 17/3*j**3 + 0*j**2 - 1/2880*j**6 - 13 + 0*j - 1/32*j**4 + 7/960*j**5. Let o(g) be the third derivative of h(g). Factor o(v).
-(v - 6)*(v - 1)/8
Let n be -22 - -1*(-2 - -6). Let m be (-4)/n + 6/(216/100). Determine g so that m - 192*g**3 + 5 + 191*g**3 - 17*g + 10*g**2 = 0.
1, 8
Let u(k) = -6*k**3 - k**2 + k - 1. Let w(p) = -185*p**3 - 95*p**2 + 290*p + 290. Let h(c) = 30*u(c) - w(c). Factor h(s).
5*(s - 4)*(s + 1)*(s + 16)
Suppose 2 = -o - m, 2*o = -5*m + 2 + 3. Let b(t) = -t**2 - 3*t + 12. Let u be b(o). Factor -2*j - 8 - 2*j**2 + 0*j + 0*j**u - 6*j.
-2*(j + 2)**2
Let o = -241/234 + 25/39. Let a = 10/9 - o. Factor -a - 27/8*p**2 - 15/2*p.
-3*(p + 2)*(9*p + 2)/8
Let j be 1 + 0 + 3/(-3 - -6). Dete