v**3 + 2*v**g + 2*v + 2*v**3.
-v*(v - 1)**2
Let d = 22 + -20. Factor 4*z**3 - 4*z - z**4 - d + 3*z**4 - 4*z**2 + 4*z**2.
2*(z - 1)*(z + 1)**3
Let r be (-82215)/660 + -1 + (-18)/(-22). Let j = r - -125. What is n in 1/4*n + 1/2 - j*n**2 = 0?
-1, 2
Let v(r) = -3*r + 26. Let u be v(8). Let j be 0/(2*(-1)/u). Factor j - 1/4*d + 1/4*d**2.
d*(d - 1)/4
Let u = 13 + -11. Suppose 4*y = k + 7, 0 = -2*y - 0*k - u*k + 6. Solve 140/3*n**y + 44/3*n + 4/3 + 100/3*n**3 = 0.
-1, -1/5
Let q(a) be the first derivative of -a**3/3 + 5*a**2/2 - 4*a - 38. Let q(f) = 0. What is f?
1, 4
Let g be (-4 - (-18)/4)*(-2 + 2). Let h(v) be the third derivative of -6*v**2 + g + 0*v + 0*v**3 + 0*v**4 - 1/600*v**6 - 1/150*v**5. What is r in h(r) = 0?
-2, 0
Let m be (28/56)/(1/10). Let b(k) be the second derivative of -1/12*k**4 + 3/20*k**m + 0*k**3 + 0 + 0*k**2 + 2/15*k**6 + k. What is x in b(x) = 0?
-1, 0, 1/4
Factor 96 - 15*q - 5*q**2 + 123 - 19.
-5*(q - 5)*(q + 8)
Let v(d) = -3*d**4 + 9*d**3 + 40*d**2 - 62*d - 2. Let r(g) = -5*g**4 + 20*g**3 + 80*g**2 - 125*g - 5. Let o(t) = 2*r(t) - 5*v(t). Factor o(z).
5*z*(z - 2)**2*(z + 3)
Let o(j) be the second derivative of -j**4/3 + 64*j**3/3 - 120*j**2 + 11*j + 5. What is v in o(v) = 0?
2, 30
Let k = -29 + 34. Suppose 2*i**4 + 3*i**2 - k*i**3 - 6*i**4 + i**2 - i**3 = 0. What is i?
-2, 0, 1/2
Let i(t) = -t**2 + t + 2. Let g be i(0). Factor 7*d**3 + 2*d**g + 2*d**5 - 7 + 7 + 7*d**4.
d**2*(d + 1)*(d + 2)*(2*d + 1)
Find y such that 53 - 18*y**4 - 3*y**5 + 66 + 89 - 36*y**2 - 75*y - 154 + 78*y**3 = 0.
-9, -1, 1, 2
Let f be (-12)/21*(-7)/2. Suppose 3*q + f*z = -2*q + 8, 3*z = -4*q + 5. Let q + 3*m - 6*m + m**2 + m + 5*m = 0. What is m?
-2, -1
Let y(w) be the second derivative of 15*w - 12*w**3 - 1/3*w**4 + 0 - 162*w**2. Factor y(k).
-4*(k + 9)**2
Suppose -15 + 15 = l. Determine u so that l - u**2 + 5/3*u**3 - 2/3*u = 0.
-2/5, 0, 1
Let h be (-11)/(-4) - 453/604. Factor 0 - 10/3*u - 1/3*u**h.
-u*(u + 10)/3
Let a be -13*(-22)/(-1573)*-11. Let 1/5*i + 23/5*i**3 - i**4 + 6/5 - 5*i**a = 0. What is i?
-2/5, 1, 3
Let a(j) be the second derivative of 5*j**4/12 - 55*j**3/6 + 75*j**2 + 33*j + 8. Factor a(n).
5*(n - 6)*(n - 5)
Let y be 15/(-12) + -1 + (-10)/(-4). Let q(t) be the third derivative of 0*t - y*t**4 - 2/3*t**3 + 5*t**2 - 1/30*t**5 + 0. Factor q(z).
-2*(z + 1)*(z + 2)
Let f(n) = -3*n**2 - 2*n. Let u(d) = 4*d**2 + 2*d. Suppose 0 = 2*i - 2 - 8. Let o(w) = i*f(w) + 4*u(w). Factor o(k).
k*(k - 2)
Let m(i) be the second derivative of -5/12*i**3 - i - 1/24*i**6 + 1/8*i**5 + 0*i**4 + 5/8*i**2 - 25. Factor m(k).
-5*(k - 1)**3*(k + 1)/4
Determine v so that 98/3 + 182/9*v + 34/9*v**2 + 2/9*v**3 = 0.
-7, -3
Let a(l) = 2*l**3 + 9*l**2 - 3*l - 25. Let r be a(-4). Let z(b) be the first derivative of -1/16*b**4 + 0*b**2 - 1/12*b**r + 1/10*b**5 - 8 + 0*b. Factor z(s).
s**2*(s - 1)*(2*s + 1)/4
Let p(v) be the third derivative of -v**5/90 - v**4/36 + 2*v**3/3 - 54*v**2. Factor p(o).
-2*(o - 2)*(o + 3)/3
Suppose 75*i**3 + 40*i**2 + 13*i**2 + 5*i**5 + 35*i**4 - 8*i**2 = 0. Calculate i.
-3, -1, 0
Let b(t) be the third derivative of t**6/160 - 29*t**5/240 + 17*t**4/96 + 3*t**3/8 - t**2 + 38*t. Factor b(w).
(w - 9)*(w - 1)*(3*w + 1)/4
Solve 4/3 - 2/3*b**5 + 10/3*b - 8/3*b**3 - 8/3*b**4 + 4/3*b**2 = 0.
-2, -1, 1
Suppose -5*z = w + 3, 2*w - 8 = 28*z - 24*z. Factor -10*x + 5/3*x**w + 15.
5*(x - 3)**2/3
Let b be 66/55 + 4/5. Let d(y) = -7*y + 6*y - 1 + 2. Let g(v) = -3*v**3 - 9*v**2 - 7*v - 5. Let t(z) = b*d(z) + g(z). Solve t(m) = 0 for m.
-1
Let d(h) be the third derivative of h**6/600 + h**5/300 - h**4/10 - 19*h**2. Factor d(g).
g*(g - 3)*(g + 4)/5
Suppose -3*f - 3*c + 73 = -26, -127 = -4*f - 3*c. Let s = -26 + f. Factor -1/3*g**4 - 1/3*g**3 + 1/3*g**s + 1/3*g + 0.
-g*(g - 1)*(g + 1)**2/3
Factor 4*o**3 - 22*o + 0*o**3 - 8 + 8*o**2 - 14*o + 32*o.
4*(o - 1)*(o + 1)*(o + 2)
Let m(q) = q**3 - q**2 + 1. Let l(c) = -c**3 - 11*c**2 - 42*c - 4. Let j(d) = l(d) + 4*m(d). What is w in j(w) = 0?
-2, 0, 7
Let v(l) be the second derivative of -l**5/20 + l**4/2 - 3*l**3/2 + 2*l**2 + l + 2. Factor v(x).
-(x - 4)*(x - 1)**2
Let u(q) be the third derivative of 0*q**4 + 0*q**3 - 1/60*q**5 + 0*q + 1/120*q**6 - 17*q**2 + 0. Factor u(a).
a**2*(a - 1)
Let s = 4773/11186 + 3/1598. Factor 0*u + 3/7*u**2 + 0 - s*u**3.
-3*u**2*(u - 1)/7
Let x be 12/(-15)*130/(-4). Let h be ((-1)/(-3))/(x/312). Suppose 4/5 + 2/5*c**3 - 2/5*c**h + 6/5*c**2 - 2*c = 0. What is c?
-2, 1
Let o(y) be the second derivative of 6591*y**5/20 - 1521*y**4 + 2808*y**3 - 2592*y**2 + 70*y. Factor o(p).
3*(13*p - 12)**3
Let c(p) = 13*p**4 + 15*p**3 + p**2 - 23*p - 10. Let x(g) = 24*g**4 + 30*g**3 + 3*g**2 - 44*g - 20. Let d(r) = 7*c(r) - 4*x(r). Solve d(f) = 0 for f.
-2, -1, 1
Factor c**2 - 3/2*c**3 + 2*c + 0 - 5/4*c**4 - 1/4*c**5.
-c*(c - 1)*(c + 2)**3/4
Factor -153/5 - 3/5*f**2 + 156/5*f.
-3*(f - 51)*(f - 1)/5
Let g(i) be the first derivative of 2*i**3/27 - 11*i**2/9 - 8*i/3 - 64. Factor g(o).
2*(o - 12)*(o + 1)/9
Let l(y) be the first derivative of 0*y**2 + 11 + 2/45*y**5 - 2/27*y**3 + 0*y + 0*y**4. Factor l(t).
2*t**2*(t - 1)*(t + 1)/9
Let s = 13716 + -27431/2. Factor -3/4*h**2 - 1/4*h**3 + 0 - s*h.
-h*(h + 1)*(h + 2)/4
Let b(t) = t - 7. Let k be b(10). Let a(z) be the second derivative of z - 1/60*z**5 + 0*z**k + 1/36*z**4 + 0 + 0*z**2. Factor a(c).
-c**2*(c - 1)/3
Let n be (-2)/(-8) + 697/(-68). Let l be (-3*8/(-140))/((-3)/n). Factor 2/7*w**3 - 2/7*w - 4/7 + l*w**2.
2*(w - 1)*(w + 1)*(w + 2)/7
Let h be (1/2)/((-245)/(-120) - 2). Determine p, given that -10*p**4 + 5*p**5 + 7*p**3 - h*p**3 + 10*p**2 + 0*p**3 = 0.
-1, 0, 1, 2
Suppose 3*o - 27 = 21. Let q be (2 - 0)*(68/o - 4). Determine h, given that 3/8*h**4 - q + 7/4*h**3 + 1/2*h + 19/8*h**2 = 0.
-2, -1, 1/3
Let s = -63 + 66. Suppose b + 8 = -2*c + 22, s*c = 3*b + 12. Factor 2/3*p**5 + 0 + c*p**3 - 10/3*p**4 + 4/3*p - 14/3*p**2.
2*p*(p - 2)*(p - 1)**3/3
Let b be (-168)/112*(-8)/6. Let f(u) be the third derivative of -2/3*u**4 - b*u**3 + 0*u - 7*u**2 + 0 - 1/15*u**5. Factor f(w).
-4*(w + 1)*(w + 3)
Let k(j) be the first derivative of j**3/4 - 15*j**2/2 - 33*j - 72. Factor k(l).
3*(l - 22)*(l + 2)/4
Let z(b) be the first derivative of b**5/5 + 40*b**4 + 3200*b**3 + 128000*b**2 + 2560000*b - 6. Factor z(h).
(h + 40)**4
Suppose -g + 60 = -5*k - 6*g, 3*g = 3*k + 66. Let w = k + 18. Factor -1 + 7*p**2 - 5*p**2 - w.
2*(p - 1)*(p + 1)
Find n, given that 190/11*n**2 + 72/11*n + 218/11*n**3 + 114/11*n**4 + 2*n**5 + 8/11 = 0.
-2, -1, -2/11
Let l(y) = -35 + 14 - 150*y + 18 + 45*y**2. Let m(h) = -h**3 - h**2 + h + 1. Let b(w) = -l(w) - 3*m(w). Find j, given that b(j) = 0.
0, 7
Solve 2 - 7/4*t**3 + 3*t - 13/2*t**2 + 9/2*t**4 - 5/4*t**5 = 0 for t.
-1, -2/5, 1, 2
Let c(w) be the first derivative of w**5/35 + 19*w**4/28 + 6*w**3/7 - 51. Factor c(i).
i**2*(i + 1)*(i + 18)/7
Let f(p) be the first derivative of -p**6/420 + 2*p**5/105 - p**4/21 - 11*p**2/2 + 10. Let h(i) be the second derivative of f(i). What is v in h(v) = 0?
0, 2
Let r = 5 - 2. Let f be 72/60*10/r. Factor -f*j**5 + 0*j**5 + 8*j**4 - 11*j**2 + 5*j**2 + 4*j - 2*j**2.
-4*j*(j - 1)**3*(j + 1)
Let d(i) be the second derivative of 1/55*i**5 - 2/33*i**3 + 0*i**2 - 8*i - 1/165*i**6 + 0 + 1/66*i**4. Solve d(u) = 0.
-1, 0, 1, 2
Let j(b) be the first derivative of -b**6/3 + 4*b**5/15 + 7*b**4/2 - 64*b**3/9 + 4*b**2 - 6. Determine g, given that j(g) = 0.
-3, 0, 2/3, 1, 2
Let h be (-10)/6*(-108)/30. Let v(p) be the first derivative of 3*p**2 + 0*p + h - 21/4*p**4 - 5*p**3. Factor v(n).
-3*n*(n + 1)*(7*n - 2)
Let v(g) be the third derivative of 9/200*g**6 + 0*g - 21*g**2 + 0*g**3 + 1/560*g**8 + 3/175*g**7 + 0*g**4 + 0 + 0*g**5. Factor v(d).
3*d**3*(d + 3)**2/5
Let b(g) = -3*g**3 + g. Let z be b(-1). Let u = z - 0. Factor 0*c + 3*c**4 - 3*c**u + 3*c - 6*c**3 + 3*c.
3*c*(c - 2)*(c - 1)*(c + 1)
Let s be (-1 - 48)/(3/(-6)). Suppose 113*f - 3*f**2 - 17*f**2 + 5 - s*f = 0. What is f?
-1/4, 1
Let t(o) be the first derivative of 3*o**5/10 + 15*o**4/8 + 3*o**3 - 147. Factor t(s).
3*s**2*(s + 2)*(s + 3)/2
Factor 83/7 - 1/7*y**2 - 82/7*y.
-(y - 1)*(y + 83)/7
Let x = -83 - -53. Let i be (-35)/x*3 + (-3)/2. Factor 4/3*n - i + 2/3*n**2.
2*(n - 1)*(n + 3)/3
Let c(y) be the third derivative of -1/336*y**8 - 1/20*y**5 + 14*y**2 + 1/70*y**7 + 0*y