 + 0*q. Factor i(t).
5*t*(t - 6)*(t - 1)*(t + 1)
Let x = -78 - -81. Determine c, given that -2*c**3 - 21*c**2 + 0*c**x + c**4 + 17*c**2 + c**4 = 0.
-1, 0, 2
Factor 206/13*f - 106/13*f**2 + 2/13*f**3 - 102/13.
2*(f - 51)*(f - 1)**2/13
Let q(u) be the first derivative of -1/15*u**3 + 9/10*u**2 - 8/5*u - 28. Suppose q(f) = 0. What is f?
1, 8
What is d in -2*d**2 - 2/3*d**3 + 0 + 2*d**4 + 4/3*d - 2/3*d**5 = 0?
-1, 0, 1, 2
Let q(l) = -l**2 + 65*l + 6. Let r(c) = 66*c + 4. Let g(i) = 2*q(i) - 3*r(i). Determine t, given that g(t) = 0.
-34, 0
Suppose -102*i = -97*i - 35, -g + i = 3. Suppose 5/7*x**2 - 2/7*x + 11/7*x**5 + 0 + 31/7*x**g + 27/7*x**3 = 0. Calculate x.
-1, 0, 2/11
Let c(m) be the third derivative of -1/80*m**6 + 0*m + 0 - 3*m**2 - 1/16*m**4 + 0*m**3 + 1/20*m**5. Determine t, given that c(t) = 0.
0, 1
Let g be (-2)/(-6) + 1044/3915. Find d such that -g + 6/5*d + 9/5*d**2 = 0.
-1, 1/3
Let a(u) = 13*u + 57. Let h be a(-4). Let i(x) be the first derivative of 14*x**2 - h + 20/3*x**3 + 8*x. Determine k, given that i(k) = 0.
-1, -2/5
Let m(l) be the third derivative of l**8/112 + 8*l**7/35 + 39*l**6/20 + 28*l**5/5 + 49*l**4/8 + 7*l**2 + 16*l. Factor m(g).
3*g*(g + 1)**2*(g + 7)**2
Let a(k) be the second derivative of k**8/1344 + k**7/504 - k**6/144 - k**5/24 + 13*k**4/12 + 10*k. Let q(s) be the third derivative of a(s). Factor q(w).
5*(w - 1)*(w + 1)**2
Let h be ((2*-1)/4)/((-4)/48). Suppose g = -p - p + h, 10 = 5*p. Factor 6/5 + 3/5*z**g - 9/5*z.
3*(z - 2)*(z - 1)/5
Let s(a) be the second derivative of 3*a**7/14 + 7*a**6/30 - a**5/10 + 4*a. Factor s(c).
c**3*(c + 1)*(9*c - 2)
Let p(g) be the second derivative of -19*g**4/28 + 3*g**3/2 - 3*g**2/7 - g - 32. What is h in p(h) = 0?
2/19, 1
Let v be (32/12 + -4)/(((-1470)/45)/7). Factor -4/7 - v*t + 2/7*t**2.
2*(t - 2)*(t + 1)/7
Factor 0 + 0*t - t**3 + 1/8*t**4 - 9/8*t**2.
t**2*(t - 9)*(t + 1)/8
Let l(b) be the first derivative of b**4/10 + 14*b**3/3 + 288*b**2/5 - 648*b/5 - 264. Determine k so that l(k) = 0.
-18, 1
Let x be 2*1/(-5) - (-4)/10. Let j(m) be the third derivative of -m**2 + 0 + 1/3*m**3 + 0*m**5 - 1/30*m**6 - 1/105*m**7 + 1/6*m**4 + x*m. Factor j(z).
-2*(z - 1)*(z + 1)**3
Let t(f) = -11*f**3 + 70*f**2 - 37*f - 50. Let n(o) = 21*o**3 - 141*o**2 + 72*o + 99. Let u(b) = -4*n(b) - 9*t(b). Find j, given that u(j) = 0.
-3/5, 2, 3
Let h(c) be the third derivative of c**5/15 - 40*c**4/3 + 3200*c**3/3 - 2*c**2 - 25*c. What is s in h(s) = 0?
40
Let b = 53 + -77. Let p be (-3 + (-63)/b)/(9/(-12)). Find h such that p*h**3 - h**2 + 0*h + 0 = 0.
0, 2
Suppose 2 = -2*h + 4. Let a be (2/(-8))/h*-12. Let -4*j**3 - 12*j**a - 4*j**4 - 1 - 8*j - 20*j**2 + 1 = 0. Calculate j.
-2, -1, 0
Let h be ((-7)/(-42))/(7/56). Let r(k) be the first derivative of -k**2 - 1 - h*k - 2/9*k**3. Find w such that r(w) = 0.
-2, -1
Let g(c) be the first derivative of 0*c**2 + 5/32*c**4 - 1/12*c**3 + 1/10*c**5 + 0*c - 13 - 1/16*c**6. Solve g(j) = 0 for j.
-1, 0, 1/3, 2
Let z(h) = 2*h**2 - 35*h - 309. Let t be z(24). Determine k so that -12/5*k**3 + 3/5*k**4 + 0 + 0*k - t*k**2 = 0.
-1, 0, 5
Let h(i) be the second derivative of -i**6/30 + 7*i**5/40 - 7*i**4/24 + i**3/6 + 29*i - 1. Factor h(v).
-v*(v - 2)*(v - 1)*(2*v - 1)/2
Let z(r) = 2*r**2 + r - 1. Let m(t) = -9*t**2 - 19*t - 2. Let y(g) = -2*m(g) - 6*z(g). Determine n so that y(n) = 0.
-5, -1/3
Factor -27*d**2 - 132/5*d + 4/5 - 34/5*d**3.
-(d + 2)**2*(34*d - 1)/5
Let d(a) be the first derivative of -a**6/300 - a**5/100 - a**4/120 + 15*a - 2. Let f(y) be the first derivative of d(y). Let f(s) = 0. What is s?
-1, 0
Let l be (1 - -1)*((-66)/(-33) + (-44)/23). Suppose -l*u**2 + 2/23*u - 2/23*u**3 + 4/23 = 0. Calculate u.
-2, -1, 1
Let c(q) be the first derivative of -4/7*q**2 - 4/35*q**5 - 2/21*q**6 + 3/7*q**4 + 0*q + 4/21*q**3 - 11. Determine w, given that c(w) = 0.
-2, -1, 0, 1
Factor -81/2 + 3/2*x**3 - 159/2*x - 75/2*x**2.
3*(x - 27)*(x + 1)**2/2
Let k(h) be the third derivative of 0*h**5 + 9*h**2 + 0 + 0*h**3 + 1/30*h**6 - 1/6*h**4 + 0*h. Factor k(t).
4*t*(t - 1)*(t + 1)
Let -24*g**3 + g + 134*g**2 - 103*g + 11 - 1 - 13*g + 43*g = 0. What is g?
1/4, 1/3, 5
Let d = 1258828/117 - 32306/3. Let m = -120/13 - d. Solve 2/9*k + 2/9*k**5 - 4/9*k**2 - 4/9*k**3 + m*k**4 + 2/9 = 0.
-1, 1
Let s be 25/3 - 176/132. Let g(m) be the third derivative of 0*m + 1/14*m**s - 1/24*m**6 + 0*m**3 + 5/24*m**4 + 0 - 1/4*m**5 - 4*m**2. Factor g(x).
5*x*(x - 1)*(x + 1)*(3*x - 1)
Let g be ((11/10)/11)/(4/2). Let i(s) be the first derivative of -1 - 1/5*s**3 + 0*s - g*s**4 - 1/5*s**2. Factor i(o).
-o*(o + 1)*(o + 2)/5
Let l = -3597 - -3601. Factor 6*f**2 + 0 - 6*f + 3/2*f**3 - 3/2*f**l.
-3*f*(f - 2)*(f - 1)*(f + 2)/2
Suppose -15 = -3*k + 3*c, -3*k + 2*c + 14 = 2. Factor -20/3*y + 50/3*y**k + 2/3.
2*(5*y - 1)**2/3
Let a be 20/(-12)*(2/(-6))/(42/63). Suppose 2/3*y**2 - y - a + 1/6*y**4 + y**3 = 0. Calculate y.
-5, -1, 1
Suppose -5*l = -10, 0 = 2*q - 2*l - 0 - 4. Let s be (-7 + 3 + 3)*(-1)/q. Let -1/4*u**4 + 0 + s*u**3 + 0*u + 0*u**2 = 0. What is u?
0, 1
Let y(v) = -3*v + 33. Let b be y(10). Let m be (b - 125/35)*2/(-4). Factor -m*w + 1/7*w**4 - 1/7 + 0*w**2 + 2/7*w**3.
(w - 1)*(w + 1)**3/7
Factor -2/11*v**3 + 104/11 + 18/11*v**2 + 96/11*v.
-2*(v - 13)*(v + 2)**2/11
Let v(u) = 113*u - 1917. Let g be v(17). Solve -2/3*c**3 + 0 + 0*c**2 + 0*c - 1/3*c**g = 0.
-2, 0
Let d(y) = 155*y**3 - 2770*y**2 - 6115*y - 180. Let n(v) = -7*v**3 + 126*v**2 + 278*v + 8. Let b(r) = -2*d(r) - 45*n(r). Find w, given that b(w) = 0.
-2, 0, 28
Let w = -18 + 26. Suppose 4*l - s - 2*s = 8, -4*l - s = -w. Factor 4 + 2*x**2 - 109*x + l + 117*x.
2*(x + 1)*(x + 3)
Let y = 207 - 216. Let x be ((-2)/9 + 0)*(y - -6). Suppose -x*l**4 - 10/9*l**2 - 2/9*l - 14/9*l**3 + 0 = 0. Calculate l.
-1, -1/3, 0
Let m(y) = -y**4 + y. Let t(x) = 2*x**5 + 26*x**4 - 4*x**2 - 24*x. Suppose 4*r + 3 - 11 = 0. Let p(g) = r*t(g) + 44*m(g). Let p(o) = 0. Calculate o.
-1, 0, 1
What is l in -1/2*l**2 + 7/2*l + 15 = 0?
-3, 10
Let p(i) be the first derivative of -i**4 + i + 2 + i + 7 - 2*i**3. Find n such that p(n) = 0.
-1, 1/2
Let p(q) be the first derivative of -q**4/2 - 32*q**3/3 + 11*q**2 + 1452*q + 203. Solve p(z) = 0 for z.
-11, 6
Let g(p) be the third derivative of -p**9/75600 - p**8/8400 - p**7/2520 - p**6/1800 - p**4/2 + 3*p**2. Let k(f) be the second derivative of g(f). Factor k(o).
-o*(o + 1)**2*(o + 2)/5
Let d be (-4 - 37551/(-30)) + (-12 - 472/(-40)). Determine k, given that -605/2*k**5 + 1325/2*k**2 - 140*k - d*k**3 + 2035/2*k**4 + 10 = 0.
2/11, 1
Let d = 346 + -344. Let z(g) be the third derivative of 0*g + 2*g**d + 0 + 11/510*g**5 + 1/102*g**4 + 1/255*g**7 + 0*g**3 + 4/255*g**6. Factor z(n).
2*n*(n + 1)**2*(7*n + 2)/17
Let p(l) be the first derivative of l**6/15 + 3*l**5/10 + l**4/2 + l**3/3 + 9*l - 26. Let v(g) be the first derivative of p(g). Factor v(j).
2*j*(j + 1)**3
Let c(b) be the first derivative of -2*b**3/33 - 20*b**2/11 - 134. Find v, given that c(v) = 0.
-20, 0
Let c(w) = w**5 - w**3 - w**2 + w - 1. Let d(n) = -3*n - 43*n**5 + 7*n**2 + 24*n**5 + 3 + 17*n**5 - 3*n**4 + 3*n**3. Let l(x) = -3*c(x) - d(x). Factor l(j).
-j**2*(j - 2)**2*(j + 1)
Let z = -9/139 + 435/278. What is s in -13/2*s**2 - 2*s + 0 - z*s**3 = 0?
-4, -1/3, 0
Let f be (-4)/(-1) - (-3 + 3). Suppose -36 = -9*l + 7*l. Factor -l*d**2 - 12*d**3 - 3*d**f - 10*d - 2*d - 3 + 0*d**4.
-3*(d + 1)**4
Let s(t) = -t**3 + 3*t**2 + 4*t - 1. Let u(h) = 1. Suppose -5*d - 12 = -5*a + 3, -5*a - 12 = 4*d. Let f(i) = d*u(i) - 3*s(i). Factor f(l).
3*l*(l - 4)*(l + 1)
Let q(c) = -6*c**2 - 22*c - 120. Let z(x) = 4*x**2 + 22*x + 120. Let s(k) = 3*q(k) + 4*z(k). Factor s(j).
-2*(j - 15)*(j + 4)
Suppose -5*d = -5*p - 10, 29 = 8*d - 3. Suppose -70/11*s**4 + 0*s - 288/11*s**3 + 32/11 - 304/11*s**p = 0. What is s?
-2, -2/5, 2/7
Let g(t) = -5*t**3 + 11*t**2 - t - 14. Let u(h) = 7*h**3 - 10*h**2 + h + 14. Let l(c) = -4*g(c) - 3*u(c). Factor l(b).
-(b - 1)*(b + 1)*(b + 14)
Let n(u) be the first derivative of u**5/180 - 5*u**4/72 + 19*u**2 - 13. Let o(p) be the second derivative of n(p). Factor o(t).
t*(t - 5)/3
Find v such that 46*v**3 - 89*v**3 + 41*v**3 - 14*v - 10*v**2 - 6 = 0.
-3, -1
Let f(g) = -2*g**2 + 8*g + 7. Let d be f(4). Let q = -3 + d. Let 0 + 2/5*w**2 + 1/5*w - 1/5*w**3 - 2/5*w**q = 0. What is 