 y, given that h*y - 2/11*y**2 + k = 0.
-1, 4
Let j(w) = w**3 - 8*w**2 + 10*w - 19. Let h be j(7). Factor -s**5 + 0*s**3 + 4*s**4 - 101*s + 92*s + 2*s**3 - 12*s**h.
-s*(s - 3)**2*(s + 1)**2
Factor -3*m - 5/6*m**2 + 4/3.
-(m + 4)*(5*m - 2)/6
Let m(f) = -40*f**4 + 29*f**3 + 26*f**2 - 24*f. Let w(u) = u**4 - 3*u**3 + 1. Let c(b) = -4*m(b) + 36*w(b). Solve c(j) = 0.
-3/7, 1
Let x(q) be the third derivative of q**7/735 - q**6/140 + q**5/105 - 80*q**2. Solve x(l) = 0.
0, 1, 2
Solve 4/5 + 3/5*f**3 - f**2 + 1/5*f**4 - 3/5*f = 0 for f.
-4, -1, 1
Let y = -10 - -12. Let f be 16/24*3/y. Determine u, given that f + 7 + 27*u**2 - 2 - 27*u = 0.
1/3, 2/3
Factor 0 - 1/3*i - 70/3*i**2.
-i*(70*i + 1)/3
Solve -14*h**2 + 44/3*h - 16/3 + 16/3*h**3 - 2/3*h**4 = 0.
1, 2, 4
Let x = 2453/9844 + 2/2461. Let j(q) = q**2 + q - 4. Let o be j(-3). Factor x*f + 1/2 - 1/4*f**o.
-(f - 2)*(f + 1)/4
Suppose 4*l - 2 - 6 = -m, 33 = 3*m + 3*l. Factor 15*z**2 - 16*z + 0*z**5 - 4*z**5 + z**2 + m*z**3 + 5*z**4 - 13*z**4.
-4*z*(z - 1)**2*(z + 2)**2
Factor 107*y**3 + 2 - 4*y - 34*y**3 - 2*y**4 - 33*y**3 - 36*y**3.
-2*(y - 1)**3*(y + 1)
Let l(p) be the second derivative of p**6/60 + 33*p**5/40 - 17*p**4/12 - 1064*p. Determine m so that l(m) = 0.
-34, 0, 1
Let n be 4 + (-4 - -4) - 4. Let k(a) be the third derivative of -1/270*a**5 + 0 - 1/108*a**4 + 4*a**2 + n*a + 1/540*a**6 + 1/27*a**3. Factor k(q).
2*(q - 1)**2*(q + 1)/9
Let m(n) be the first derivative of -3/5*n**5 + n**3 + 33/28*n**4 - 5/14*n**6 + 16 - 9/7*n**2 + 0*n. Find o, given that m(o) = 0.
-2, -1, 0, 3/5, 1
Let x(l) be the second derivative of -l**4/12 + 5*l**3/6 + 159*l. Find w such that x(w) = 0.
0, 5
Let d(c) = c + 9. Let b be d(4). Let k(h) = h - 8. Let l be k(b). Factor 9 - 4 + 4*n**l - 5.
4*n**5
Solve 1/7*x**2 - 64/7 + 9*x = 0.
-64, 1
Suppose -4*n = -3*n + 6. Let b be (n/2)/((-15)/20). Solve -w + 2*w**2 - b*w - w**3 + 8*w = 0.
-1, 0, 3
Let i be -7 - 7/((-5)/5). Let p(j) be the second derivative of 1/24*j**3 + 1/80*j**5 + i*j**2 + 0 - 1/24*j**4 + 4*j. Factor p(f).
f*(f - 1)**2/4
Let j(u) = 95*u**2 - 130*u - 70. Let k(g) = 8*g**2 - 11*g - 6. Let r(p) = -3*j(p) + 35*k(p). Determine w so that r(w) = 0.
0, 1
Suppose -75*i + 64*i + i**4 + 0*i**4 - 20 - 4 + 23*i**2 + 11*i**3 = 0. Calculate i.
-8, -3, -1, 1
Let g(l) = -12*l**2 - 600*l + 243. Let b(p) = p**2 - 2*p + 1. Let f(x) = 3*b(x) - g(x). What is j in f(j) = 0?
-40, 2/5
Suppose -2/7*s**4 + 0 + 2/7*s**2 + 16/7*s - 16/7*s**3 = 0. Calculate s.
-8, -1, 0, 1
Let a(j) be the third derivative of 7*j**8/72 - 38*j**7/45 - 71*j**6/60 + 121*j**5/45 + 41*j**4/9 + 8*j**3/3 + 914*j**2. What is h in a(h) = 0?
-1, -2/7, 1, 6
Let b(s) be the second derivative of -s**5/70 + s**4/42 + 2*s**3/21 - 15*s - 1. Factor b(u).
-2*u*(u - 2)*(u + 1)/7
Let y(p) = 16*p**4 + 28*p**3 + 18*p**2 - 6*p - 6. Let r(h) = 2*h**4 - h**2 - h - 1. Let j(f) = -6*r(f) + y(f). Determine g so that j(g) = 0.
-6, -1, 0
Let s(o) be the third derivative of -o**7/420 + o**6/60 - o**5/40 + 2*o**2 - 116. Factor s(t).
-t**2*(t - 3)*(t - 1)/2
Let m(t) be the third derivative of -t**8/2352 - 3*t**7/490 - 19*t**6/840 - t**5/140 + 5*t**4/42 + 2*t**3/7 + 45*t**2. Determine u so that m(u) = 0.
-6, -2, -1, 1
Suppose -10 = j - 3*j. Factor 0*c**5 + 0*c**3 - 4*c**4 - c**3 - 3*c**3 + 4*c**j + 4*c**2.
4*c**2*(c - 1)**2*(c + 1)
Factor 6*k**2 - 12*k - 7*k**2 + 40 - 51.
-(k + 1)*(k + 11)
Let l be 41/164 + 0 + 0. Let b be (-3)/12 - (-3)/4. Let -b*f**2 + 1/4*f - l*f**3 + 1/2*f**4 + 0 = 0. What is f?
-1, 0, 1/2, 1
Let i(x) be the third derivative of x**8/1260 + x**7/252 + x**6/135 + x**5/180 + 2*x**3 + 10*x**2. Let k(c) be the first derivative of i(c). Factor k(l).
2*l*(l + 1)**2*(2*l + 1)/3
Suppose -u = -4*n, u - 4*n = -7*u. Let s(c) be the third derivative of 1/360*c**5 - 4*c**2 + 1/4*c**3 + u + 0*c + 1/24*c**4. Determine h, given that s(h) = 0.
-3
Solve -8*z**5 - 18*z**2 - 6*z**5 + 3*z**3 + 12*z**4 - 5*z**5 + 22*z**5 = 0 for z.
-3, -2, 0, 1
Let c(x) be the first derivative of -x**3/3 - 35*x**2/4 - 17*x/2 - 562. Let c(f) = 0. What is f?
-17, -1/2
Let g(q) be the second derivative of 9*q + 0*q**2 - 1/50*q**5 + 0 + 4/15*q**3 + 0*q**4. Factor g(l).
-2*l*(l - 2)*(l + 2)/5
Suppose 0 = -5*l + 92 - 27. Suppose l*z + 12 = 17*z. Factor 2*j**2 - j**3 + j + j**z - 2*j**4 - j**5.
-j*(j - 1)*(j + 1)**3
Suppose 5*f + 5*t = 5, -f = -4*f - 4*t. Let q be 0/(-13) + f/3. Factor 2/3*r**2 + 0 + q*r.
2*r*(r + 2)/3
Suppose -9*k = -14*k - 125. Let n be (-44)/(-60) - 15/k. Factor -n*p**4 - 8*p**3 - 12*p**2 + 0*p + 0.
-4*p**2*(p + 3)**2/3
Let k(a) be the third derivative of a**6/10 - 3*a**5/4 + 9*a**4/8 - 2*a**2 + 20*a. Factor k(v).
3*v*(v - 3)*(4*v - 3)
Let a be (5 - 0) + (-2 - 14 - -15). What is r in 0*r + 8/9*r**2 - 14/9*r**a + 0 + 16/9*r**3 - 10/9*r**5 = 0?
-2, -2/5, 0, 1
Let v(r) be the first derivative of r**6/105 + r**5/70 - 4*r + 9. Let o(f) be the first derivative of v(f). Factor o(t).
2*t**3*(t + 1)/7
Suppose -6 = -9*h + 8*h. Let -2*s + 8*s - 54 + 2*s**3 + 56 + h*s**2 = 0. Calculate s.
-1
Solve -8/9 + 2/3*i**3 + 34/9*i - 32/9*i**2 = 0 for i.
1/3, 1, 4
Let g(v) be the first derivative of 2/3*v**3 - 12*v + 5*v**2 + 3. Factor g(z).
2*(z - 1)*(z + 6)
Suppose -560*y + 58*y**2 - 24*y**4 - 20*y**2 + 120*y**3 + 42*y**2 + 480 + 2*y**5 - 26*y**4 + 3*y**5 = 0. What is y?
-2, 2, 6
Solve 7/4*r + 3/4*r**3 - 2*r**2 - 1/2 = 0 for r.
2/3, 1
Let h be (-2)/(-6)*(-2 - -2). Let c(k) be the second derivative of h*k**3 + 0*k**2 + 1/108*k**4 + 0 + 1/180*k**5 - k. Suppose c(j) = 0. Calculate j.
-1, 0
Let q(u) = -u**2 - 19*u - 52. Let l be q(-7). Let p be (1 - 1)/((l/(-4))/8). Factor p*f**2 + 0*f**3 + 0*f + 4/7*f**4 + 0.
4*f**4/7
Let j(x) be the first derivative of -15/7*x**2 + 25/21*x**3 + 9/7*x + 9. Factor j(q).
(5*q - 3)**2/7
Let s(j) = -j**3 + 30*j**2 + 99*j + 2. Let m be s(33). Let n be 0 + ((-20)/(-6))/5. Determine g, given that 4/3 - 2/3*g - n*g**m = 0.
-2, 1
Let w(y) = 7*y**3 + 17*y**2 + 4*y - 8. Let f(m) = -57*m**3 - 138*m**2 - 33*m + 66. Let l(q) = 4*f(q) + 33*w(q). Factor l(v).
3*v**2*(v + 3)
Let u be ((-4)/(-14))/(1/7). Let b be (u/7)/((-1)/(-7)). Factor 0 - 6*w + 52*w**2 + 0 - 67*w**b - 9*w**3.
-3*w*(w + 1)*(3*w + 2)
Suppose -32*s - 35 = -37*s. Let b be -1*1 + -4 + s. Factor -2/5*v**3 + 6/5*v + 0*v**b - 4/5.
-2*(v - 1)**2*(v + 2)/5
Let z = 13070/4899 + -2/1633. Let g(k) be the second derivative of 5/6*k**4 + 0 + z*k**3 + 9*k + 1/10*k**5 + 4*k**2. What is t in g(t) = 0?
-2, -1
Let h be (3 + -180)*(-1 + 5/3). Let g = 120 + h. Determine x, given that -3/7*x + 3/7*x**3 - 6/7 + 6/7*x**g = 0.
-2, -1, 1
Find m such that 4/5*m + 12/5*m**2 + 0 + 2/5*m**4 + 9/5*m**3 = 0.
-2, -1/2, 0
Let r(f) = -55*f**3 - 225*f**2 - 135*f - 65. Let b be 2*(-108)/8 + 2. Let i(n) = 7*n**3 + 28*n**2 + 17*n + 8. Let c(w) = b*i(w) - 3*r(w). Factor c(x).
-5*(x + 1)**2*(2*x + 1)
Let u = 32200 - 32194. Factor -15/2 + 3/2*i**2 - u*i.
3*(i - 5)*(i + 1)/2
Let y(n) = -4*n**2 + n. Let z be y(1). Let d be (-24)/(-10) - (13/(-5) - z). Determine w so that -2*w**d - 8/3 - 1/3*w**3 - 4*w = 0.
-2
Let k(p) be the first derivative of -p**3/15 - 39*p**2/5 - 1521*p/5 - 338. Factor k(b).
-(b + 39)**2/5
Let x(a) be the third derivative of a**8/42 + 26*a**7/105 + 4*a**6/5 + 17*a**5/15 + 2*a**4/3 - a**2 - 133. Find j such that x(j) = 0.
-4, -1, -1/2, 0
Factor 0 + 0*z**2 + 5*z - 1/5*z**3.
-z*(z - 5)*(z + 5)/5
Let x(t) be the first derivative of -t**8/784 + t**6/280 + 8*t**2 - 1. Let c(w) be the second derivative of x(w). Factor c(k).
-3*k**3*(k - 1)*(k + 1)/7
Let t = 23 - 37. Let f = 18 + t. Factor 4*p - 10*p**2 - 9*p**3 - p**4 - p**f + 0*p + 17*p**3.
-2*p*(p - 2)*(p - 1)**2
Let t = 181/1047316 + -36578055055/21326495708. Let d = -2/2909 - t. Let -2/7*l**2 - d*l - 18/7 = 0. Calculate l.
-3
Let k(x) be the third derivative of -3*x**2 + 1/10*x**5 + 0 + 0*x**3 - 1/14*x**7 + 0*x + 0*x**4 + 3/40*x**6. Factor k(w).
-3*w**2*(w - 1)*(5*w + 2)
Solve 43/4*r**3 + 13*r + 51/2*r**2 - 10 + 5/4*r**4 = 0.
-5, -2, 2/5
Factor -5/2*d**3 + 75 - 1/2*d**4 + 31/2*d**2 + 185/2*d.
-(d - 6)*(d + 1)*(d + 5)**2/2
Let f be (32/(-3))/(756/(-162))*14/20. Factor f - 4/5*w**2 - 4/5*w.
-4*(w - 1)*(w + 2)/5
Let s(z) be the second derivative of -16*z**7/105 + 8*z**6/5 - 29*z**5/10 + 7*z**3/3 + 6*z**2/5 + 236*z. Find a, given that s(a) = 0.
-1/4, 1, 6
Let p b