se -5 + 11 = 2*m. Factor -9*g**2 - 3*g + 8*g**2 + m*g.
-g**2
Let r = -403/10 + 204/5. Let s(l) be the second derivative of r*l**3 - 3/2*l**2 + 1/4*l**4 + 0 - 3/20*l**5 - 5*l. Factor s(x).
-3*(x - 1)**2*(x + 1)
Factor 6*n**3 - 52*n + 37*n - 6*n**3 + 5*n**3 + 10.
5*(n - 1)**2*(n + 2)
Let s(p) be the third derivative of -3*p**7/14 + 59*p**6/40 + p**5/5 - p**2 + 351*p. Determine x, given that s(x) = 0.
-1/15, 0, 4
Let x(s) be the second derivative of -s**6/3420 - s**5/285 - s**4/76 + 13*s**3/3 - 20*s. Let u(c) be the second derivative of x(c). What is y in u(y) = 0?
-3, -1
Let w = 3/35 + 33/7. Let t(v) be the first derivative of 0*v**2 - 4/3*v**3 - 6 - 5/3*v**6 + 0*v - w*v**5 - 9/2*v**4. Factor t(r).
-2*r**2*(r + 1)**2*(5*r + 2)
Let z(m) be the third derivative of m**6/630 + m**5/210 - 19*m**3/6 + 10*m**2. Let r(w) be the first derivative of z(w). Let r(y) = 0. Calculate y.
-1, 0
Let c(b) be the first derivative of -3*b**4/8 - 2*b**3 + 3*b**2/4 + 6*b + 66. Determine g, given that c(g) = 0.
-4, -1, 1
Let b(c) be the first derivative of -c**6/5 - 52*c**5/25 - 36*c**4/5 - 44*c**3/5 - c**2 + 24*c/5 - 43. Solve b(y) = 0 for y.
-4, -3, -1, 1/3
Suppose -15*t**3 + 20*t**3 + 480*t + 30*t**3 + 1690*t**2 = 0. Calculate t.
-48, -2/7, 0
Let d be 7/(-2) + (156/(-1794) - (-234)/46). Let 0 - 21/4*i**5 + 0*i - d*i**4 + 3/2*i**2 + 21/4*i**3 = 0. What is i?
-1, -2/7, 0, 1
Let m(x) be the first derivative of -2*x + 1/2*x**2 - 1/4*x**4 - 28 + 2/3*x**3. Let m(y) = 0. What is y?
-1, 1, 2
Let l(j) = 8*j**3 + 8*j**2 - 5*j. Let p(o) = -44*o**3 - 44*o**2 + 28*o. Let z = -136 - -164. Let u(m) = z*l(m) + 5*p(m). Factor u(s).
4*s**2*(s + 1)
Find t such that 127*t**2 + 123*t**2 - 20*t - 249*t**2 = 0.
0, 20
Let b(z) be the second derivative of 5*z**4/12 + 595*z**3/3 - 1195*z**2/2 - 259*z. Solve b(g) = 0 for g.
-239, 1
Let s(k) be the third derivative of k**8/6720 - k**7/840 + k**6/240 - k**5/120 - 7*k**4/24 - 7*k**2. Let v(z) be the second derivative of s(z). Factor v(x).
(x - 1)**3
Let s(h) = 3*h**2 + 9*h + 12. Let j(d) = 2*d**2 + d**2 + 3 + 8*d + 9. Let b(o) = 3*j(o) - 4*s(o). Factor b(x).
-3*(x + 2)**2
Suppose 4*y + r = -17 + 27, -y + 10 = 4*r. Determine q, given that -y - 8/3*q**2 + 26/3*q = 0.
1/4, 3
Let z be ((-273)/52 + 5)*-1. Find w such that -1/4*w - 1/4*w**4 + 3/4*w**2 + z*w**3 - 1/2 = 0.
-1, 1, 2
Let k(z) = 7*z**3 + 6*z**2 + 6*z + 2. Let x(p) be the second derivative of -3*p**5/10 - p**4/2 - p**3 - p**2 + 12*p. Let u(w) = 4*k(w) + 5*x(w). Factor u(a).
-2*(a + 1)**3
Let k = -115456/7 + 16494. Solve -k*m**4 + 0*m**2 + 0*m - 2/7*m**3 + 0 = 0 for m.
-1, 0
Suppose -50*t + 51*t = 26. Factor 3*l + 10 + 4*l**2 + t - 7*l - 20*l.
4*(l - 3)**2
Let y(i) = i + 1. Let v be y(3). Let o be 14/(-98) - (60/(-28) + -1). Factor 1/4 - 1/2*m**o - 1/4*m**v + 1/2*m + 0*m**2.
-(m - 1)*(m + 1)**3/4
Let x(z) = -z + 1. Let u = -50 - -55. Let p(a) = -a**2 - 13*a - 22. Let r(s) = u*p(s) - 15*x(s). What is k in r(k) = 0?
-5
Let o(k) = -20*k**2 - 14*k + 40. Let a(p) = -7*p**2 - 5*p + 13. Let x(g) = 14*a(g) - 5*o(g). Suppose x(v) = 0. What is v?
-3, 3
Let t(u) be the first derivative of u**5 + 35*u**4/4 + 25*u**3 + 65*u**2/2 + 20*u + 353. Factor t(g).
5*(g + 1)**3*(g + 4)
Let h(u) be the third derivative of u**5/360 + u**4/48 + u**2 - 326*u. Solve h(s) = 0.
-3, 0
Let h(x) = x**2 - x + 1. Let j(s) = -3*s**2 - 3*s - 12. Let i(r) = -r**2 + 6*r - 5. Let t be i(6). Let z(f) = t*j(f) - 20*h(f). Factor z(b).
-5*(b - 8)*(b + 1)
Let p(c) = -5*c**3 - 30*c**2 - 70*c + 5. Let a(r) = -7*r**3 - 30*r**2 - 68*r + 6. Let s(f) = 5*a(f) - 6*p(f). Suppose s(z) = 0. Calculate z.
-2, 0, 8
Find w, given that 19*w**3 + 51*w**2 - 15*w**2 + 19 - 19*w**3 + 14*w**3 - 3 - 10*w**4 - 56*w = 0.
-2, 2/5, 1, 2
Suppose 0 = 7*l - 11*l - l. Suppose l = -2*u + 12*u - 20. Factor 1/2*v**u + v + 0.
v*(v + 2)/2
Suppose -2*a - 6 = -16. Suppose 4*g - 2 = 2. Let l(v) = v**2 - 8*v + 2. Let n(d) = d. Let p(z) = a*n(z) + g*l(z). Factor p(h).
(h - 2)*(h - 1)
Factor -785/3*l - 310/3 - 25/3*l**2.
-5*(l + 31)*(5*l + 2)/3
Suppose 5*y - 480 = -y. Let w be -1 - ((-60)/y + 9/(-4)). Suppose 2/5*c**3 - 2/5*c**w - 2/5*c + 2/5*c**4 + 0 = 0. Calculate c.
-1, 0, 1
Let s be 1/((6 + -7)*1/2). Let l be 14/(-28) + (-9)/s + -1. Find m such that -1/3*m**2 + 1/3*m + 0 - 2/3*m**l = 0.
-1, 0, 1/2
Let b(s) be the second derivative of -s**3/2 - 5*s**2/2 + 5*s. Let m be b(-7). Let -o**3 - o + 16 - 2*o**2 + 0*o - m = 0. What is o?
-1, 0
Let a(w) = w**2 + w - 1. Let y(v) = -3*v**2 - 308*v + 148 + 131*v + 149*v. Let r(g) = 20*a(g) + 5*y(g). Factor r(j).
5*(j - 12)**2
Let v(n) be the third derivative of n**5/45 + 2*n**4/9 - 157*n**2. Find a such that v(a) = 0.
-4, 0
Let p(h) be the third derivative of h**8/112 + 17*h**7/210 + 3*h**6/40 - h**5/12 - 4*h**2 + 11. Determine f so that p(f) = 0.
-5, -1, 0, 1/3
Suppose -n + 41 = 2*f + 3*f, 2*f + 4*n - 20 = 0. Suppose 62*c - f = 58*c. Factor 4/3*h**3 - 4/3*h**4 - 5/3*h + 1/3*h**5 + 2/3 + 2/3*h**c.
(h - 2)*(h - 1)**3*(h + 1)/3
Let f(z) be the first derivative of -1/4*z**2 + 1/3*z**3 - 21 - 1/8*z**4 + 0*z. Let f(x) = 0. What is x?
0, 1
Let a(v) = -3*v**3 + 12*v**2 - 15. Let h(i) = 6*i**3 - 23*i**2 + i + 30. Let n = 11 + -4. Let r(o) = n*a(o) + 3*h(o). Factor r(b).
-3*(b - 5)*(b - 1)*(b + 1)
Let z(b) be the second derivative of -b**4/24 + 3*b**3 - 35*b**2/4 + 68*b. Factor z(f).
-(f - 35)*(f - 1)/2
Let l be 24/108 + 34/9. Suppose -l + 19 = 5*q. Factor 0*a + 0 + 0*a**q + 3/5*a**5 + 0*a**4 + 0*a**2.
3*a**5/5
What is m in 94 + 43*m**3 - 25*m**2 - 10*m**3 + 115*m**2 + 186*m - 35*m**3 = 0?
-1, 47
Let s be 11 - 4*(-815)/(-300). Let c(k) be the first derivative of s*k**5 + 1 - 2/9*k**3 + 0*k + 2/3*k**2 - 1/3*k**4. Let c(f) = 0. What is f?
-1, 0, 1, 2
Solve 2 + 9/2*n + 1/2*n**3 + 3*n**2 = 0.
-4, -1
Suppose 6 = w + 1. Suppose w - 3 - 4*t**3 + 30*t**2 + 22*t**3 + 14*t = 0. What is t?
-1, -1/3
Let d(b) be the second derivative of -b**7/84 - b**6/40 + 11*b**5/80 + 7*b**4/24 - b**3/2 - b**2 + 5*b + 3. Determine z, given that d(z) = 0.
-2, -1/2, 1, 2
Suppose -7*d - 2 = -16. Factor -a - 6*a**5 + 4*a**2 - 30*a**3 - 2*a**d + 5*a - 8*a**5 + 38*a**4.
-2*a*(a - 1)**3*(7*a + 2)
Factor -616/9*q + 2/9*q**2 + 47432/9.
2*(q - 154)**2/9
Let c(t) be the first derivative of -2*t**4/3 - 4*t**3 - 9*t**2 + 5*t - 3. Let w(i) be the first derivative of c(i). Let w(k) = 0. What is k?
-3/2
Let n = 1609/6 + -268. Let w(v) be the first derivative of 3/10*v**5 + 0*v**2 - 7 + 1/4*v**4 + 0*v - n*v**3. Factor w(p).
p**2*(p + 1)*(3*p - 1)/2
Factor 3/4*o**3 - 27/4*o - 5/2 + 5/2*o**2.
(o - 2)*(o + 5)*(3*o + 1)/4
Let j(i) be the second derivative of -i**6/15 - 29*i**5/10 - 35*i**4/2 - 127*i**3/3 - 50*i**2 + 18*i - 14. What is n in j(n) = 0?
-25, -2, -1
Solve 0*o**2 + 2/13*o**3 + 0 + 2/13*o**4 + 0*o = 0 for o.
-1, 0
Let q be 5/((-15)/9) - 12/(-2). Suppose q*r - 3 = -4*t + 2, 5*r = 3*t - 11. Factor -2*c**t - 4/9 + 14/9*c + 10/9*c**3 - 2/9*c**4.
-2*(c - 2)*(c - 1)**3/9
Determine x, given that 12*x**2 + 0 + 4/7*x**4 + 32/7*x**3 + 72/7*x = 0.
-3, -2, 0
Let h(z) be the first derivative of z**5/2 - 25*z**4/8 - 15*z**3 + 25*z**2 + 140*z - 474. Factor h(b).
5*(b - 7)*(b - 2)*(b + 2)**2/2
Let c(m) = m**3 - 13*m**2 + 2*m - 17. Let f be c(13). Let y = 12 - f. Factor 7*h**4 + 3*h**4 + 0*h**4 - 3*h**4 - 32*h + 128*h**2 - 58*h**y.
h*(h - 4)**2*(7*h - 2)
Factor 9 + 17493*c**4 - 7203*c**5 + 11778*c + 14428*c**3 + 2562*c**2 - 2962*c**3 - 11529*c.
-3*(c - 3)*(7*c + 1)**4
Suppose -6*i + 41 - 23 = 0. Let h be (-5)/(-6)*18/10. Suppose 1 - h*c + 0*c**2 + 1/2*c**i = 0. What is c?
-2, 1
Let q(o) be the first derivative of -4*o**5/5 - o**4 + 4*o**3 + 10*o**2 + 8*o - 68. Factor q(c).
-4*(c - 2)*(c + 1)**3
Let n(z) = -9*z - 2. Let l be n(-7). Let r = 61 - l. Factor 0 + r*c + 2/7*c**3 + 2/7*c**2.
2*c**2*(c + 1)/7
Let p(f) = -2*f**3 + 4*f**2 + 2*f. Let o(w) = -1 - 5*w - 17*w**2 + 3*w + 8*w**3 - 5*w - w. Let g(h) = 2*o(h) + 9*p(h). Factor g(t).
-2*(t - 1)**2*(t + 1)
Let h = 94 + -70. Let g be h/56 + 22/14. Suppose -w - 1/2*w**3 + 0 - 3/2*w**g = 0. Calculate w.
-2, -1, 0
Let o = -35 + 30. Let x be 1/(7/(-5)*o). Factor 2/7*j**2 + 0 + 1/7*j**3 + x*j.
j*(j + 1)**2/7
Let q(b) be the second derivative of -b**7/2016 + b**6/96 - 3*b**4/4 + 12*b. Let u(y) be the third derivative of q(y). Factor u(d).
-5*d*(d - 6)/4
S