*4 + 0*x**3 = 0.
0, 1, 2
Let y(s) be the first derivative of -s**4/24 + 8*s**3/3 - 64*s**2 - 23*s + 51. Let j(g) be the first derivative of y(g). Factor j(d).
-(d - 16)**2/2
Let i be 9/(-15) + 1 + 6/(-15). Let r(g) be the third derivative of 3*g**2 + 0*g + 1/5*g**5 + i + 1/3*g**4 + 0*g**3 + 1/30*g**6. Solve r(p) = 0 for p.
-2, -1, 0
Factor 125*q**2 - 440*q**3 - 455*q**3 + 1356*q**3 + 330*q + 135 - 451*q**3.
5*(q + 3)*(q + 9)*(2*q + 1)
Suppose -4*i + 47 = 2*p - p, 4*i + 2*p - 50 = 0. Let b = -9 + i. Factor 10*q**b + 4 + 6*q + q**2 - 9*q**2.
2*(q + 1)*(q + 2)
Let a(w) be the first derivative of -w**4/24 - 32*w**3/9 + w**2/12 + 32*w/3 + 448. Factor a(b).
-(b - 1)*(b + 1)*(b + 64)/6
Let d(b) be the first derivative of 9 + 1/6*b**4 - 12*b + 1/10*b**5 - 2/3*b**3 + 0*b**2. Let h(t) be the first derivative of d(t). Factor h(g).
2*g*(g - 1)*(g + 2)
Determine g, given that -225*g**3 - 24*g**5 + 378*g**2 - 16*g**5 + 24*g**4 - 27*g**5 + 70*g**5 = 0.
-14, 0, 3
Let h(p) = -p**2 - 4*p - 3. Let d(a) = 4*a**2 + 12*a + 8. Let n(f) = 3*d(f) + 10*h(f). Determine z so that n(z) = 0.
-1, 3
Let b = 2896/23 + -25972/207. Determine r so that -2/3*r**2 - 2/9*r + 2/9*r**3 + 2/9*r**4 + b = 0.
-2, -1, 1
Let j(a) be the second derivative of a**8/20160 - a**7/7560 - a**6/2160 + a**5/360 + a**4/12 + 13*a. Let h(k) be the third derivative of j(k). Factor h(d).
(d - 1)**2*(d + 1)/3
Let v(r) be the first derivative of 5*r**4/14 - 2*r**3/3 + 2*r**2/7 + 31. What is a in v(a) = 0?
0, 2/5, 1
Let d(c) = -2*c**3 - 53*c**2 - 74*c + 28. Let m be d(-25). Suppose 5/2*y**5 + 10 + 5/2*y**2 - 25/2*y**4 + 35/2*y**m - 20*y = 0. Calculate y.
-1, 1, 2
Let o be 3/(-2)*(-430)/215. Factor 7/2*h**2 + 0 + 1/2*h**3 + o*h.
h*(h + 1)*(h + 6)/2
Suppose -6*t**2 + 16*t + 6*t**2 - 86*t**3 - 110*t**3 = 0. Calculate t.
-2/7, 0, 2/7
Let m(o) be the first derivative of -o**3/3 + 5*o**2/2 + 6*o + 163. Factor m(g).
-(g - 6)*(g + 1)
Let a(i) = -5*i**2 + 61*i - 9*i**3 + 3*i**3 - 60*i + 7. Let v(j) = -j**3 - j**2 + 1. Let n(p) = 4*a(p) - 28*v(p). Factor n(u).
4*u*(u + 1)**2
Let r(q) be the second derivative of -q**7/210 - 49*q**6/150 - 383*q**5/50 - 323*q**4/6 + 8959*q**3/30 - 4913*q**2/10 + 13*q - 5. Factor r(n).
-(n - 1)**2*(n + 17)**3/5
Let i(h) be the first derivative of 2*h**3/3 + 5*h**2/2 + 4*h + 12. Let n be i(-2). Let 1/2*a**3 + 0*a + 0 + a**n = 0. Calculate a.
-2, 0
Let c(g) = 3*g**2 - 7*g - 2. Let b(i) = -3*i - 4*i**2 - i - 3 - 4*i + 6*i**2. Let z(f) = -2*b(f) + 3*c(f). Factor z(q).
5*q*(q - 1)
Factor -160/7 - 164/7*o - 4/7*o**2.
-4*(o + 1)*(o + 40)/7
Factor 6*r + 0 + 16/5*r**2 + 2/5*r**3.
2*r*(r + 3)*(r + 5)/5
Let r(w) be the first derivative of 20 - 1/4*w**2 + 5/12*w**3 + 1/20*w**5 - 1/4*w**4 + 0*w. Find k, given that r(k) = 0.
0, 1, 2
Let c be (74 - 1)*((-5)/(-15))/(-1). Let f = c + 173/6. Suppose 9/2*t**2 - 2 + 6*t + f*t**5 - 9/2*t**4 - 25/2*t**3 = 0. What is t?
-1, 1/3, 2/3, 2
Suppose 0 = m - 15 + 14. Let t be -1*m + (15/6 - 1). Determine z, given that 0 - 1/2*z - t*z**3 - z**2 = 0.
-1, 0
Suppose -7*c + 14 = -14. Let r(x) be the third derivative of 3/40*x**c + 5*x**2 + 3/100*x**5 + 1/200*x**6 + 0*x + 1/10*x**3 + 0. Factor r(k).
3*(k + 1)**3/5
Let o(c) be the second derivative of c**6/320 + c**5/32 + c**4/16 + 17*c**2/2 + 6*c. Let r(q) be the first derivative of o(q). Suppose r(g) = 0. Calculate g.
-4, -1, 0
Let y be 14/4 + 1/2. Suppose 0 = -2*d + y. Determine o so that -17*o**5 - 12*o**3 + 5*o**4 + 8*o**d + 3*o**4 - 2*o + 15*o**5 = 0.
0, 1
Let y = -8461 + 8464. Let 54/7*q - 9/7*q**2 - 12/7*q**y + 3/7*q**4 + 0 = 0. What is q?
-2, 0, 3
Let z(c) = -9*c**3 - 10*c**2 + 14*c - 5. Let d(t) = 10*t**3 + 12*t**2 - 16*t + 6. Let p(h) = -5*d(h) - 6*z(h). Factor p(j).
4*j*(j - 1)*(j + 1)
Let i = 4 - 0. Suppose 4*l - 6 - 3 = y, i*l - 18 = -2*y. Factor -9*s**2 - 3 + 2*s - 8*s - 3*s**l - 6*s + 3*s.
-3*(s + 1)**3
Let b(y) be the first derivative of 2*y**5/5 + 3*y**4/2 + 4*y**3/3 - 85. Factor b(x).
2*x**2*(x + 1)*(x + 2)
Let s(m) be the second derivative of -m**6/30 - m**5/5 + m**4/4 + 7*m**3/3 + 4*m**2 - 14*m. Factor s(d).
-(d - 2)*(d + 1)**2*(d + 4)
Let j(f) = -12*f**2 + 3*f + 1. Let i(z) = 2*z**2. Let c(s) = 7*i(s) + j(s). Let c(y) = 0. Calculate y.
-1, -1/2
Let l(r) = -r**2 + 16*r - 3. Let v be l(13). Solve -19*i**4 - 9*i**2 - 623*i - v*i**3 - 2*i**4 + 629*i = 0 for i.
-1, 0, 2/7
Suppose 20 = -2*u - 3*u. Let q(m) = -5*m**2 - 6*m + 4. Let n(r) = 5*r**2 + 7*r - 3. Let s(o) = u*n(o) - 3*q(o). Factor s(f).
-5*f*(f + 2)
Suppose -6*n + 11 = -1. Factor -n*f**3 - 10*f - 3*f**4 - 4 + 2*f**3 - 14*f**3 - 23*f**2 - 6*f.
-(f + 1)**2*(f + 2)*(3*f + 2)
Let c(l) = 2*l + 41. Let g be c(-8). Factor g*n**4 + 10*n - 100 + 100 + 35*n**2 + 45*n**3 + 5*n**5.
5*n*(n + 1)**3*(n + 2)
Suppose 0 = -2*s - s. Solve 96*v - 13 + 64*v**2 + 44 + 5 + s*v**2 = 0.
-3/4
Let k(l) be the third derivative of l**6/280 - l**5/5 - 142*l**2. Find o, given that k(o) = 0.
0, 28
Let y(o) be the second derivative of 1/42*o**4 + 0 + 1/42*o**3 - 1/105*o**6 - 4*o - 1/294*o**7 + 0*o**2 + 0*o**5. Let y(h) = 0. Calculate h.
-1, 0, 1
Let t(b) = -b**3 - 4*b**2 - b + 2. Let y be t(-4). Suppose -22 = -4*n - y. Factor -3*k**3 + 5*k + 2 - k - k**2 - k + 3*k**4 - 4*k**n.
-(k - 1)*(k + 1)**2*(k + 2)
Let i(a) be the first derivative of a**5/210 - a**4/6 + 7*a**3/3 + 8*a**2 - 36. Let y(p) be the second derivative of i(p). Solve y(c) = 0 for c.
7
Let r(f) be the first derivative of 2/15*f**3 + 0*f - 13 + 0*f**2 + 1/15*f**6 - 2/25*f**5 - 1/10*f**4. Factor r(l).
2*l**2*(l - 1)**2*(l + 1)/5
Let b(s) = 35*s + 177. Let o be b(-5). Let u(l) be the first derivative of 8*l + 2/3*l**3 - 5*l**o - 2. Factor u(t).
2*(t - 4)*(t - 1)
Let c(b) be the third derivative of b**5/120 + b**4/16 + b**3/6 + 53*b**2. Factor c(j).
(j + 1)*(j + 2)/2
Let q(o) be the first derivative of 54541802*o**5/5 - 271803*o**4 + 2408*o**3 - 8*o**2 - 162. Find t such that q(t) = 0.
0, 2/301
Let k(b) be the second derivative of -b**4/12 - 4*b**3/3 - 8*b**2 + b + 9. Factor k(j).
-(j + 4)**2
Let o be (-4)/2*(-2)/(0 - -1). Let c be (-52)/20 + 3 - 0. Find u, given that -2/5*u**3 + c*u + 1/5*u**2 - 1/5*u**o + 0 = 0.
-2, -1, 0, 1
Suppose -11/10*y**3 + 0*y + 0 - 8/5*y**4 - 7/10*y**5 - 1/5*y**2 = 0. What is y?
-1, -2/7, 0
Let m(h) be the first derivative of h**3/4 + 33*h**2/8 + 45*h/2 + 39. Determine r, given that m(r) = 0.
-6, -5
What is p in 2*p**2 + 0*p - 2*p**4 + 0 + 1/2*p**3 - 1/2*p**5 = 0?
-4, -1, 0, 1
Let z(q) = -q**3 + 4*q**2 - 4*q + 2. Let j = -10 + 12. Let l be z(j). Factor -l*i**2 - 3 + i**4 + 3*i**3 - 2*i**3 + 3.
i**2*(i - 1)*(i + 2)
Let t(j) be the first derivative of -3*j**5/5 - 9*j**4/4 + 3*j**3 + 33*j**2/2 + 18*j - 52. Factor t(q).
-3*(q - 2)*(q + 1)**2*(q + 3)
Let q(n) be the first derivative of 2*n**5/15 - 7*n**4/3 - 24*n**3 - 232*n**2/3 - 320*n/3 - 189. What is g in q(g) = 0?
-2, 20
Let x(p) = 5*p**3 - p**2 - p + 1. Let u(d) = -10*d**3 + 80*d**2 - 121*d + 37. Let z(r) = u(r) - x(r). Let z(v) = 0. What is v?
2/5, 2, 3
Let a(m) be the first derivative of -6*m**5/13 + m**4/13 + 5. Factor a(b).
-2*b**3*(15*b - 2)/13
Suppose -4*b - 524*r + 528*r + 8 = 0, -b - 4*r = 8. What is s in 0 + 0*s - 3/7*s**4 - 6/7*s**3 + b*s**2 = 0?
-2, 0
Let w(r) = r**3 - 7*r**2 + 4*r + 14. Let v be w(6). Determine h so that 19*h - 8*h + v*h**2 + 4 - 5*h = 0.
-2, -1
Let w = -110/3 - -37. Suppose -3*u - 15 = 2*x - 5*x, 3*x - 21 = 5*u. Solve -2*y - w*y**x - 3 = 0.
-3
Factor -810*j**3 + 5*j + 400*j**3 + 5*j**5 + 400*j**3.
5*j*(j - 1)**2*(j + 1)**2
Let s = 8637/11 + -785. Find g such that 2/11*g**2 + 0 + s*g = 0.
-1, 0
Suppose -5*n = 62*l - 57*l - 25, -2*n - 4 = -5*l. Let q(h) be the first derivative of 1/3*h**2 + 4/9*h**n - 6 + 0*h + 1/6*h**4. Let q(a) = 0. Calculate a.
-1, 0
Suppose 3/2*p**3 + 0 + 6*p + 15/2*p**2 = 0. Calculate p.
-4, -1, 0
Suppose -2*o + 322 = 3*h, 2*h - 5*h = 12. Factor -o*j**3 - 3*j + 168*j**3 - 4*j**2 + 17 + 1.
(j - 3)**2*(j + 2)
Let t(j) = -13*j**3 + 160*j**2 + 7*j - 162. Let u(n) = 17*n**3 - 160*n**2 - 8*n + 163. Let o(p) = 3*t(p) + 2*u(p). Suppose o(k) = 0. What is k?
-1, 1, 32
Factor -144/7*q + 0 + 240/7*q**2 - 52/7*q**3 - 4/7*q**5 - 40/7*q**4.
-4*q*(q - 1)**2*(q + 6)**2/7
Let h be (-6)/(-14) + 1196/(-161) - 260/(-8). Factor -57*m**2 - h*m - 15/2*m**5 - 63*m**3 - 69/2*m**4 - 9/2.
-3*(m + 1)**4*(5*m + 3)/2
Supp