2*d**2. Let h(l) = -3*l**2 - 26*l - 23. Let v(j) = 6*h(j) + 17*p(j). Solve v(z) = 0.
-2, -1
Factor 0 - 2/11*r**2 + 0*r - 2/11*r**3.
-2*r**2*(r + 1)/11
Let j(m) be the first derivative of 5*m**4/4 + 145*m**3/3 - 474. Factor j(b).
5*b**2*(b + 29)
Let n(g) = 2*g**4 - 2*g**3 - 3*g**2 - 8*g + 14. Let l(f) = -2*f**4 + 4*f**3 + 2*f**2 + 8*f - 16. Let d(z) = -3*l(z) - 4*n(z). Factor d(j).
-2*(j - 1)**2*(j + 2)**2
Let y be ((-6)/468*13)/((-1)/16). Suppose 2/3*f**4 + y*f - 2*f**3 + 0*f**2 + 0 = 0. What is f?
-1, 0, 2
Factor -4/7*l + 2/7*l**3 + 1/7*l**4 + 4/7 - 3/7*l**2.
(l - 1)**2*(l + 2)**2/7
Let v(b) be the first derivative of 0*b - 13 - 4*b**3 - 9/2*b**2 - 3/4*b**4. Factor v(r).
-3*r*(r + 1)*(r + 3)
Let d be (-14 - (-896)/48)/(4 + 168/(-54)). Let 4 - 8*o + d*o**2 - 11/8*o**3 + 1/8*o**4 = 0. What is o?
1, 2, 4
Factor -1/4*o**2 + 7/2 - 13/4*o.
-(o - 1)*(o + 14)/4
Factor -166*r + 8 + 5*r**2 + 80*r**4 + r**2 + 202*r - 32*r**4 - 73*r**3 - 9*r**5.
-(r - 2)**3*(3*r + 1)**2
Let d be (-6)/(-8) + (134/938 - 202/(-56)). Factor -15/4*c**3 + d*c + 39/4*c**2 + 0.
-3*c*(c - 3)*(5*c + 2)/4
Let n(f) = f**3 + 19*f**2 + 10*f. Let h(u) be the third derivative of -u**6/40 - 37*u**5/60 - 5*u**4/6 + 11*u**2. Let t(l) = 4*h(l) + 7*n(l). Factor t(g).
-5*g*(g + 1)*(g + 2)
Let m(d) = 8*d**3 + 10*d**2 + 2*d - 2. Let l(x) = x**4 + x + 1. Let a = -79 - -77. Let g(f) = a*m(f) - 4*l(f). Let g(w) = 0. Calculate w.
-2, -1, 0
Let l(q) be the first derivative of -2*q**3/51 - 8*q**2/17 + 40*q/17 - 149. Factor l(z).
-2*(z - 2)*(z + 10)/17
Let c(o) = 12*o**3 + 17*o**2 + 27*o + 12. Let a(f) = 7*f**3 + 9*f**2 + 14*f + 6. Let k(y) = -10*a(y) + 6*c(y). Let k(r) = 0. What is r?
-3, -2, -1
Let a(h) be the third derivative of -h**6/30 - 16*h**5/5 - 128*h**4 - 8192*h**3/3 + 39*h**2. Factor a(t).
-4*(t + 16)**3
Let t(u) = -u**3 + 2*u**2 - 1. Let m be 20/(-5) + (-2 - -5). Let l be t(m). Find x such that -8*x**l - 12*x**5 + 3*x - 14*x**4 + 9*x**3 + 29*x**4 - 7*x**2 = 0.
-1, 0, 1/4, 1
Suppose 0 = 241*f - 222*f. Let 1/3*i + f + 1/3*i**2 = 0. Calculate i.
-1, 0
Factor 3/5*g**4 - 18/5*g**3 - 3 + 12/5*g**2 + 18/5*g.
3*(g - 5)*(g - 1)**2*(g + 1)/5
Let u(v) be the first derivative of v**6/5 + 2*v**5/5 - 47*v**4/30 - 14*v**3/9 - 2*v**2/5 - 61. Suppose u(k) = 0. Calculate k.
-3, -1/3, 0, 2
Let v(t) be the second derivative of 0 - 2/9*t**3 + 0*t**2 - 11*t - 1/15*t**6 - 5/9*t**4 + 23/60*t**5. Determine q, given that v(q) = 0.
-1/6, 0, 2
Suppose -42*k = -56*k. Let t(m) be the first derivative of k*m - 1/14*m**4 + 2/7*m**2 - 2/21*m**3 + 11. Factor t(d).
-2*d*(d - 1)*(d + 2)/7
Let k(v) be the second derivative of 1/4*v**4 - 1/2*v**3 + 0*v**2 + 0 + 8*v. Factor k(f).
3*f*(f - 1)
Suppose -8*f - 18*f = -0*f. Let l(z) be the second derivative of 1/24*z**4 + f - 6*z - 1/4*z**3 + 1/2*z**2. Factor l(s).
(s - 2)*(s - 1)/2
Let o(s) be the second derivative of -s**6/200 + s**5/25 - s**4/8 + s**3/5 - 11*s**2/2 + 48*s. Let v(d) be the first derivative of o(d). Factor v(b).
-3*(b - 2)*(b - 1)**2/5
Factor -11*t**2 + 2*t**3 + 16*t**2 - 3*t**2 - 4*t**2.
2*t**2*(t - 1)
Let k(t) be the first derivative of -18/5*t + 6/5*t**3 + 3/10*t**4 - 3/5*t**2 + 24. Factor k(q).
6*(q - 1)*(q + 1)*(q + 3)/5
Let y = 21 + -10. Suppose q + 4 = 1, q + y = 2*t. What is d in -12*d**3 + 4*d**2 + d**4 - 4*d - d**t + 8*d**2 + 4*d**4 = 0?
0, 1
Let d(i) be the third derivative of i**7/315 + i**6/36 - i**5/5 - 32*i**4/9 - 160*i**3/9 - 789*i**2. Factor d(z).
2*(z - 5)*(z + 2)*(z + 4)**2/3
Factor -60*x + 25028*x**2 - 21 - 25033*x**2 - 159.
-5*(x + 6)**2
What is m in 5*m**4 - 47*m**2 + 39*m**2 - m**4 + 4*m**3 = 0?
-2, 0, 1
Solve 0*m + 0*m**3 - 1/3*m**4 - 1/3*m**5 + 0 + 0*m**2 = 0 for m.
-1, 0
Let p = -810 + 812. Let c(f) be the first derivative of -10*f**p + 6 + 16*f + 4/3*f**3. Factor c(j).
4*(j - 4)*(j - 1)
Let c(n) be the second derivative of 2/63*n**3 + 0 - 1/42*n**4 - 1/105*n**6 - 4/105*n**5 - 10*n + 0*n**2. Determine u, given that c(u) = 0.
-2, -1, 0, 1/3
Let p(t) = -t**3 + 8*t**2 - 7*t - 6. Let u be p(4). Let s = -30 + u. Determine y so that 0*y**2 + 0*y + 0*y**3 - 2/9*y**5 - 2/9*y**4 + s = 0.
-1, 0
Let t(s) be the second derivative of -2*s**7/105 + s**6/18 - s**5/30 - 14*s**3/3 + 11*s. Let k(y) be the second derivative of t(y). Factor k(l).
-4*l*(l - 1)*(4*l - 1)
Suppose 0 = u + 5, -3*p - 3*u + 305 = -7*p. Let n = p + 402/5. Factor 0*f + 0 - n*f**4 - 2/5*f**3 + 4/5*f**2.
-2*f**2*(f - 1)*(f + 2)/5
Determine y, given that 1 + 17*y + 6*y**2 + 5*y - 2 - 1 - 6 = 0.
-4, 1/3
Let u(z) = z**3 + 14*z**2 - 14*z + 17. Let g be u(-15). Factor -3 + 8 - 2*k**2 - 13*k**g - 7*k**3 - 3*k**3.
-5*(k + 1)**2*(2*k - 1)
Suppose -5*y + 53 = 8. Let k be -5 - -4 - ((-3421)/y + -2). Determine v, given that -416/9*v**2 - 64/9 + 160/3*v - 3472/9*v**3 + k*v**5 + 588*v**4 = 0.
-2, -2/5, 2/7
Let k(p) be the first derivative of p**6/21 + 22*p**5/35 + 41*p**4/14 + 14*p**3/3 - 30*p**2/7 - 144*p/7 + 788. Find t such that k(t) = 0.
-4, -3, -2, 1
Let d = -196 + 200. Let b(j) be the third derivative of 1/120*j**5 + 1/96*j**d + 3*j**2 + 0*j - 1/480*j**6 + 0 - 1/12*j**3. Suppose b(k) = 0. Calculate k.
-1, 1, 2
Factor -1/4*w**2 - 17/4*w - 15/2.
-(w + 2)*(w + 15)/4
Let o = -186/35 + -3539/210. Let l = -22 - o. Suppose -l*z**2 + 2/3*z - 1/2 = 0. What is z?
1, 3
Let h(j) be the first derivative of -j**3/12 + 3*j**2/2 - 35*j/4 + 363. Solve h(p) = 0.
5, 7
Suppose 0*o + 8 = 2*o. What is v in -12*v**2 - 4*v + 0 + o + 3 + 1 = 0?
-1, 2/3
Let l be (12 + 0)/(-1*2). Let q be (0*2/4)/(l + 4). Factor -2/7*h**5 - 10/7*h**3 + q - 8/7*h**4 - 4/7*h**2 + 0*h.
-2*h**2*(h + 1)**2*(h + 2)/7
Let n(z) be the first derivative of 6 + 1/10*z**6 + 9/20*z**5 - z + 1/2*z**3 + 3/4*z**4 + 0*z**2. Let o(x) be the first derivative of n(x). Factor o(v).
3*v*(v + 1)**3
Let t(z) = 2*z**2 - 60*z + 208. Let c be t(4). Let q be 2 - 1/(-4)*-6. Factor -1 + c*n**2 - q*n**3 + 3/2*n.
-(n - 1)**2*(n + 2)/2
Let t(s) = s**2 + 2*s + 1. Let j be t(-1). Let n = j - -3. Factor 4*x + 12*x + 16*x**n + 8*x**2 - 15*x.
x*(4*x + 1)**2
Factor -100/3*b**2 + 1/3*b**5 + 40*b**3 + 0*b - 7*b**4 + 0.
b**2*(b - 10)**2*(b - 1)/3
Let j = 1/376 - -93/376. Let u(i) be the first derivative of -1/5*i**5 + 8 - j*i**2 - 3/4*i**3 - 3/4*i**4 + 0*i. Factor u(h).
-h*(h + 2)*(2*h + 1)**2/4
Factor -1/8*d**2 + 1/2 - 3/8*d.
-(d - 1)*(d + 4)/8
Let c(a) = a**2 + 6*a - 3. Let s be c(-7). Suppose -s*i + 13*i = 0. Find m such that 1/4*m**2 + i + 3/4*m = 0.
-3, 0
Suppose 0 = 15243*c - 15229*c. Suppose 7/5*p**4 + 8/5*p + 1/5*p**5 + 18/5*p**3 + c + 4*p**2 = 0. What is p?
-2, -1, 0
Let z(p) be the first derivative of 2*p**5/25 + 21*p**4/10 - 92*p**3/15 - 540. Solve z(j) = 0 for j.
-23, 0, 2
Let b(j) be the first derivative of 0*j + 5*j**3 - 5*j**2 + 8 - 5/4*j**4. Factor b(s).
-5*s*(s - 2)*(s - 1)
Let o(k) = 6*k - 42. Let t be o(7). Suppose t = -g + 7*g - 12. Solve 2/15*d**3 + 2/15*d**g + 0 + 0*d = 0 for d.
-1, 0
Let g be 6/(-18) + 200/60 - (-2 - -1). Find w such that 1/3*w**g + 4/3*w**3 + 0*w**2 + 0 + 0*w = 0.
-4, 0
Let m be ((-1)/(-3)*0)/(-3 + 1). Suppose -2*z = -6, m = 4*q + z - 3 - 0. Factor -4*t**2 - 1/2*t**4 + q - 2*t - 5/2*t**3.
-t*(t + 1)*(t + 2)**2/2
Let m(p) = -p. Let f(a) = -2*a**3 + 624*a**2 - 64891*a + 2249728. Let z(g) = f(g) + 5*m(g). Determine u so that z(u) = 0.
104
Let n(l) = -l**2 + 19*l + 1. Let z(i) = 18*i + 2. Let s(y) = 4*n(y) - 5*z(y). Factor s(t).
-2*(t + 3)*(2*t + 1)
Suppose -4*v = -21 - 3. Let g be ((-9)/v)/((27/(-12))/3). Solve 0*n + 1/7 - 1/7*n**g = 0.
-1, 1
Let l(k) be the first derivative of k**6/24 - 3*k**4/16 - k**3/6 + 261. Solve l(a) = 0.
-1, 0, 2
Let p(i) = -i**3 + i**4 + 0*i - 1 - 2*i - i**3. Let u(k) = 2*k**4 - 3*k**3 - k**2 - 3*k - 1. Let g = 62 - 60. Let f(o) = g*u(o) - 3*p(o). Solve f(h) = 0 for h.
-1, 1
Let i(n) = -n**3 + 17*n**2 + 20*n - 26. Let a be i(18). Factor 14 + 9 + a*b - 18 + 5*b**2.
5*(b + 1)**2
Let i = 9050 + -9050. Factor -3/2*u**2 + 3/2*u**4 + i*u**3 - 3/4*u**5 + 0 + 3/4*u.
-3*u*(u - 1)**3*(u + 1)/4
Let w(r) = -100*r**3 + 120*r**2 - 155*r. Let l(z) = 0*z**2 - 11*z**2 + 17*z**3 + 14*z - 8*z**3. Let k(a) = -45*l(a) - 4*w(a). Find j such that k(j) = 0.
0, 1, 2
Let f = 260 + -259. Let b(u) = -3 - 5*u**4 - 9 + 6*u**2 + 5*u + 1 - 4*u**3. Let o(m) = -m**4 - m - 1. Let j(l) = f*b(l) - 3*o(l). Solve j(g) = 0 for g.
-2, 1
Suppose -l - 