*u*(u - 3)*(u - 1)**3/3
Let q = 38 - 22. Factor j**3 - 7*j**2 + 23*j**2 + 9*j**3 - 14*j**3 - q*j.
-4*j*(j - 2)**2
Let h(g) be the second derivative of -g**4/18 - 82*g**3/9 - 2*g + 50. Factor h(o).
-2*o*(o + 82)/3
Let w(d) be the first derivative of d**8/3780 + d**7/1890 + 3*d**3 - 17. Let a(b) be the third derivative of w(b). Factor a(o).
4*o**3*(o + 1)/9
Solve 9/5*o**3 - 3*o**4 + 0 + 3*o**2 - 12/5*o + 3/5*o**5 = 0.
-1, 0, 1, 4
Suppose -4*m = -0*m + 8. Let v(t) = 13*t**2 - t - 3. Let k be v(m). Factor k - 4*j**2 - 51.
-4*j**2
Let k be 2/(-12) - (-28)/24. Let r be k/(22/(-4) - -4 - -2). Determine s so that -1/3*s**r + 0 + 1/3*s = 0.
0, 1
Let s(u) = 20*u**4 + 22*u**3 + 10. Let y be (9 - 10)*(1 + 2). Let x = 0 + y. Let j(a) = -7*a**4 - 7*a**3 - 3. Let i(k) = x*s(k) - 10*j(k). Factor i(n).
2*n**3*(5*n + 2)
Let 18*u**2 + 52*u**3 + 41*u**3 + 49*u**3 + 42*u**4 - 9*u**5 + 68*u**3 - 141*u**3 = 0. What is u?
-1, -1/3, 0, 6
Let j(u) be the second derivative of 1/6*u**4 + 4/9*u**3 - 7*u + 0 + 1/3*u**2. Determine q so that j(q) = 0.
-1, -1/3
Let v(t) be the first derivative of -t**5/420 - t**4/84 - t**3/42 + 16*t**2 - 15. Let j(q) be the second derivative of v(q). Find s, given that j(s) = 0.
-1
Let o be (18/20)/(2/12 - 0). Let s = 199/35 - o. Find j, given that 0 - s*j**2 + 4/7*j = 0.
0, 2
Suppose -4*h - 10 = 2*x, -73*h = -74*h + 3*x + 29. Solve 46/7*r - 4/7 + 40/7*r**5 + 274/7*r**3 - 178/7*r**h - 178/7*r**4 = 0.
1/5, 1/4, 1, 2
Solve -19*s - 31*s - 76 + 2*s + 30 - 2*s**2 = 0.
-23, -1
Let g(s) be the third derivative of s**6/132 - 29*s**5/330 + 17*s**4/66 + 8*s**3/33 + 53*s**2. Factor g(i).
2*(i - 4)*(i - 2)*(5*i + 1)/11
Let x(f) = -33*f**2 + 3*f + 9. Let c be (-6)/2 - 10/(-2). Let t(s) = -5*s - 5*s**2 - 3*s**2 + 6*s + c. Let l(g) = 21*t(g) - 5*x(g). Factor l(i).
-3*(i - 1)**2
Let g(k) = -3*k**4 + 4*k**2 + 4. Let l(m) = -m**2 - 7*m**2 + 8*m**4 - 3*m**2 - 6 - 5. Let q = 8 - -3. Let v(y) = q*g(y) + 4*l(y). Find b such that v(b) = 0.
0
Solve 0 - 3/4*q**4 + 9/2*q**3 - 27/4*q**2 + 3*q = 0 for q.
0, 1, 4
Let p be 2 - (4 + 31)/(-5). Let 56*w**2 + 6 + 12*w**3 - p*w + 61*w**2 - 123*w**2 - 3*w**5 = 0. What is w?
-2, -1, 1
Solve 8/9*h + 2/9*h**4 + 25/9*h**2 - 4/3 + 13/9*h**3 = 0 for h.
-3, -2, 1/2
Let j(r) be the second derivative of -r**7/14 + r**6/10 + 3*r**5/2 - 5*r**4/2 - 9*r**3/2 + 27*r**2/2 + 65*r. Find f such that j(f) = 0.
-3, -1, 1, 3
Let m(p) = -7*p**2 + 28*p + 6. Let y(s) = 8*s**2 - 29*s - 7. Let a(x) = -7*m(x) - 6*y(x). Find n such that a(n) = 0.
0, 22
Factor -6/11*h**3 - 2/11*h**4 + 0*h**2 + 0 + 0*h.
-2*h**3*(h + 3)/11
Let j be (-81)/2*((-4)/1122 - 162/1377). Factor -204/11*k**2 + 156/11*k**3 - j*k**4 - 30/11 + 126/11*k + 6/11*k**5.
6*(k - 5)*(k - 1)**4/11
Let t = -4/2785 - -5614/30635. Factor 0*h**2 + 0 - t*h**3 + 2/11*h.
-2*h*(h - 1)*(h + 1)/11
Suppose 9*a - 50 = -a. Suppose -a = -4*y - 5. Factor 0*n - 1/3*n**3 + 0*n**2 - 1/3*n**4 + y.
-n**3*(n + 1)/3
Let b(p) be the first derivative of 0*p**2 + 5 - 20/3*p**3 + 5*p**5 + 0*p + 10*p**4. Factor b(g).
5*g**2*(g + 2)*(5*g - 2)
Let r = 10 + -9. Suppose 0 = -g + r + 7. Let -g - h**3 + 6*h**2 + 50*h + 8*h**3 - 3*h**4 - 62*h = 0. What is h?
-1, -2/3, 2
Solve 244*o**5 + 2358*o**3 + 60 + 1365*o**4 + 77*o**3 + 1815*o**2 + 95*o**5 + 560*o - 94*o**5 = 0 for o.
-3, -1, -2/7
Let h(r) = r + 4. Let p be h(6). Factor 15*m**3 - 5*m**5 - 2*m**2 - p*m**4 + 25*m**2 + 0*m**5 - 3*m**2 - 20*m.
-5*m*(m - 1)**2*(m + 2)**2
Let c(i) = i**3 + 2*i**2 + 11. Let v be c(-3). Determine q, given that 3*q**v - 102*q**3 + 5*q**2 + 100*q**3 = 0.
0, 4
Let c(y) be the first derivative of y**6/33 + 8*y**5/55 + 5*y**4/22 + 4*y**3/33 + 833. Find t, given that c(t) = 0.
-2, -1, 0
Let w(s) be the third derivative of s**9/120960 + s**8/20160 + s**7/10080 + 7*s**5/60 - 26*s**2. Let h(f) be the third derivative of w(f). Factor h(i).
i*(i + 1)**2/2
Find i such that -1/8*i**2 - 49/8 - 25/4*i = 0.
-49, -1
Let r be (-2)/(-3)*(63/2)/7. Suppose 13 - 1 = t - 2*q, 0 = r*q + 12. Let -2/3*j + 0 + 13/2*j**3 - 37/3*j**t + 2/3*j**2 + 35/6*j**5 = 0. Calculate j.
-2/7, 0, 2/5, 1
Let o = -2689 - -2691. Let f = -2 - -4. Determine n so that -2/3*n**o - f*n - 4/3 = 0.
-2, -1
Let y(c) = c**2 - c + 1. Let b(d) = -10*d**2 + 13*d - 10. Let q(j) = j**2 + j - 1. Let h(o) = b(o) + 3*q(o). Let l(p) = -h(p) - 4*y(p). Factor l(g).
3*(g - 3)*(g - 1)
Let v(n) = -4*n + 2*n + 5*n + 2. Let g be v(6). Factor -7 + 25*c**2 + g*c + 0*c**2 + 11.
(5*c + 2)**2
Factor -20/3*m**2 - 4/3*m**3 + 184/3*m - 160/3.
-4*(m - 4)*(m - 1)*(m + 10)/3
Let k(l) be the second derivative of -3*l**5/40 + 29*l**4/8 - 40*l**3 - 576*l**2 - 101*l. Factor k(h).
-3*(h - 16)**2*(h + 3)/2
Let v(k) be the second derivative of -k**4/2 + k**3/2 + 9*k**2 - 54*k - 3. Determine w, given that v(w) = 0.
-3/2, 2
Suppose -4*q = 3*j - 24, -2*q + 4*j + 0*j = -34. Determine n, given that -4*n**3 + 3*n + 3*n**4 + n**3 - 6 - 6*n**4 + q*n**2 = 0.
-2, -1, 1
Let s = 2843/8493 + -4/2831. What is t in -1/2*t**3 + 1/2*t + 1/6*t**4 + 1/6*t**2 - s = 0?
-1, 1, 2
Suppose 3 + 5 = -2*w - 3*k, 4*w + 2*k = -24. Let q be ((-1)/17)/(1 - w/(-6)). Determine f, given that 0 - 2/17*f**5 + 0*f**3 + q*f**4 + 0*f - 8/17*f**2 = 0.
-1, 0, 2
Let a(b) = -25*b**2 - 23*b + 128. Let v(s) = 6*s**2 + 6*s - 32. Let h(d) = -2*a(d) - 9*v(d). Factor h(r).
-4*(r - 2)*(r + 4)
Let s(i) be the first derivative of -5/7*i**2 + 2/21*i**3 + 1/14*i**4 + 6/7*i + 6. Factor s(h).
2*(h - 1)**2*(h + 3)/7
Let -70*x**3 - 160*x**2 + 138*x**3 + 2*x**4 + 1088*x + 690*x**2 + 512 + 112*x**2 = 0. Calculate x.
-16, -1
Let g(n) = -n**2 - 74*n - 928. Let c be g(-16). Let 13/3*v**3 + 2/3*v + 4/3*v**4 + c + 11/3*v**2 = 0. Calculate v.
-2, -1, -1/4, 0
Let i = -4979 + 4979. Factor i + 3/5*o**2 - 3/5*o**4 - 6/5*o + 6/5*o**3.
-3*o*(o - 2)*(o - 1)*(o + 1)/5
Let s(f) be the third derivative of f**5/3 - 2*f**4 + 8*f**3/3 - 168*f**2. Factor s(q).
4*(q - 2)*(5*q - 2)
Let r(p) be the second derivative of p**5/5 - p**4/3 - 4*p**3/3 - 59*p - 2. Let r(s) = 0. Calculate s.
-1, 0, 2
Let y(n) = -n + 2. Let s be y(6). Let b be s/(20/12 + -3). Factor -3*k + 5*k + 6 - 3*k**b - 3*k**4 + 13*k + 9*k**2.
-3*(k - 2)*(k + 1)**3
Let a be (-132)/(-44) - -1*(-1)/(-1). Factor 38*f + 8*f**5 + 115*f**2 + 4 + 52*f**a + 241/2*f**3.
(f + 2)**3*(4*f + 1)**2/2
Let s(i) = 9*i**2 + 2*i + 13. Let c(w) = 16*w**2 + 4*w + 23. Let v(j) = 4*c(j) - 7*s(j). Find n, given that v(n) = 0.
-1
Let q(y) = -3*y**3 - 6*y**2 - 9*y - 12. Let h(l) = l**3 + 2*l**2 + l + 1. Let m(z) = 6*h(z) + q(z). Let m(u) = 0. What is u?
-2, -1, 1
Let t(w) be the third derivative of w**7/840 + 13*w**6/240 + 47*w**5/80 - 91*w**4/24 + 49*w**3/6 + 8*w**2 - 2. Factor t(m).
(m - 1)**2*(m + 14)**2/4
Let p(x) be the third derivative of 0*x**3 + 1/84*x**7 + 1/8*x**5 + 1/12*x**6 + 0*x + 0*x**4 - 12*x**2 + 0. Let p(y) = 0. Calculate y.
-3, -1, 0
Let x(h) be the second derivative of h**4/3 + 12*h**3 + 112*h**2 + 49*h + 1. What is l in x(l) = 0?
-14, -4
Let m = 645 + -943. Let c = -3276/11 - m. Factor -6/11*v**2 - 4/11*v**3 + 0 - c*v.
-2*v*(v + 1)*(2*v + 1)/11
Let 21/4*c**3 + 216 + 792*c + 255/2*c**2 = 0. What is c?
-12, -2/7
Determine n so that -16/3*n + 0 + 7/3*n**5 - 24*n**3 - 5/3*n**4 - 76/3*n**2 = 0.
-2, -1, -2/7, 0, 4
Factor -20 + 6/7*f + 2/7*f**2.
2*(f - 7)*(f + 10)/7
Let c(d) be the third derivative of d**5/20 - 3*d**4/4 + 107*d**2 + 2. Factor c(v).
3*v*(v - 6)
Let j = -12 + 14. Factor -50*f**2 + 16*f**j - 21*f**3 + 0*f - 18*f - 35*f**2.
-3*f*(f + 3)*(7*f + 2)
Let q(v) = -v**3 - 2*v**2. Let l(j) = -2*j**3 - 36*j**2 + 44*j - 24. Let t(f) = -l(f) + 6*q(f). Factor t(m).
-4*(m - 3)*(m - 2)*(m - 1)
Suppose 69*f**2 + 3*f**3 - 30*f - 24 - 3*f**3 - 5*f**3 - 10*f**3 = 0. What is f?
-2/5, 1, 4
Let x = 3197/3 + -1063. Let b(a) be the first derivative of x*a - 2/9*a**3 - 1 - 2/3*a**2 + 1/12*a**4. Determine g, given that b(g) = 0.
-2, 2
Let g(u) be the third derivative of u**7/70 + 9*u**6/40 + 29*u**5/20 + 39*u**4/8 + 9*u**3 + u**2 + 35*u. Factor g(m).
3*(m + 1)*(m + 2)*(m + 3)**2
Let y(r) be the second derivative of -r + 2/15*r**6 - 2*r**2 + 0*r**4 - 4/3*r**3 + 2/5*r**5 + 0. Determine k, given that y(k) = 0.
-1, 1
Let o be (2 - (-6 - 1) - 19)*2/(-4). Find z such that 8*z**3 - 8/5 - 4*z - 4*z**o - 8/5*z**4 + 16/5*z**2 = 0.
-1, -2/5, 1
Suppose -5*k - 3*v + 63 = 0, v - 25 = -2*k 