 t be b(f). Let p(i) = -2*i + 2. Let o(z) = t*p(z) + 2*w(z). Factor o(j).
-2*(j - 1)**2
Let u be -3*(-20)/(-75)*-10. Find a, given that 2 + 7*a**2 - a**2 + a - u*a**2 - a**3 = 0.
-2, -1, 1
Let z(n) be the first derivative of -23*n**3 + 27/2*n**4 - 12*n - 36*n**2 + 24. Factor z(g).
3*(g - 2)*(2*g + 1)*(9*g + 2)
Let c(w) be the first derivative of -1/90*w**5 - 9*w + 2/27*w**4 - 4/27*w**3 + 1 + 0*w**2. Let s(j) be the first derivative of c(j). Find p such that s(p) = 0.
0, 2
Let b(x) be the third derivative of -4*x**2 - 1/90*x**5 + 0 + 0*x**3 + 1/360*x**6 + 0*x - 1/24*x**4. Let b(r) = 0. What is r?
-1, 0, 3
Suppose -3 = 2*i + l, -4*l + 8 = -0*i - 2*i. Let o = i - -7. Solve -1/4*h**o - 1/2*h + 3/4*h**3 - 1/4*h**2 + 1/4*h**4 + 0 = 0.
-1, 0, 1, 2
Let j(i) be the third derivative of i**5/630 + 25*i**4/252 + 8*i**3/21 + 2*i**2 - 22. Solve j(f) = 0.
-24, -1
Suppose 25 - 15 = -5*m. Let g be (m + (-40)/(-25))*-5. Factor -3/2 + 17/4*k - 3*k**g.
-(3*k - 2)*(4*k - 3)/4
Let o = 18 + -9. Let x be (6 - o)/((-6)/4). Factor 12*h**2 - 4*h**x + 12*h**2 - 6 + h**2 + 15*h.
3*(h + 1)*(7*h - 2)
Let m = 2069 + -2066. Solve -2*d**4 + 14/5*d**5 + 2*d**2 + 4/5*d + 0 - 18/5*d**m = 0 for d.
-1, -2/7, 0, 1
Let -1/2*c**3 + 1/4*c - 2*c**2 + c**4 + 1/4*c**5 + 1 = 0. What is c?
-4, -1, 1
Let g = 62776/3 - 5461456/261. Let u = g - -2/261. What is c in 0*c - u + 2/9*c**2 = 0?
-1, 1
Let x(g) be the second derivative of -75/4*g**2 + 0 - 1/8*g**4 + 2*g + 5/2*g**3. Factor x(y).
-3*(y - 5)**2/2
Let t be 9/1 + (49 - 53). Let r(j) be the first derivative of t - 1/6*j**3 - j - 3/4*j**2. Determine d, given that r(d) = 0.
-2, -1
Let w(q) be the first derivative of q**6/6 + 7*q**5/5 + 11*q**4/4 + 5*q**3/3 - 107. Find u, given that w(u) = 0.
-5, -1, 0
Let t(w) be the second derivative of -2/9*w**2 - 1/45*w**5 + 10*w + 2/27*w**3 + 1/9*w**4 - 4/135*w**6 + 0. Let t(b) = 0. Calculate b.
-1, 1/2, 1
Let i(d) be the first derivative of -2*d**3/3 - 14*d**2 - 80*d + 244. Factor i(v).
-2*(v + 4)*(v + 10)
Let u(f) be the first derivative of -f**3/30 - 13*f**2/10 - 169*f/10 + 134. Factor u(s).
-(s + 13)**2/10
Let p = -22 + 41. Let k be (1 - p/18)/((-2)/32). Determine a, given that 4/3*a + 2*a**2 + 2/9 + k*a**3 = 0.
-1, -1/4
Let x be (-26)/(-72) + 48/(-432). Factor x*h**2 + 0*h + 0.
h**2/4
Suppose -19*l + 24*l - 20 = 0. Let y(p) be the first derivative of 1/24*p**4 + 2/3*p**3 - 1 + 32/3*p + l*p**2. Solve y(f) = 0 for f.
-4
Let j be (-8)/2*(-7 - (6 + -12)). Factor 29*c**5 - 12*c**5 - 13*c**5 - j*c**3.
4*c**3*(c - 1)*(c + 1)
Factor 11/3 - 1/3*z**3 - 23/3*z + 13/3*z**2.
-(z - 11)*(z - 1)**2/3
Let b(m) be the second derivative of m**5/4 - 7*m**4/36 - m**3/9 - 43*m - 1. Determine s so that b(s) = 0.
-1/5, 0, 2/3
Let d(g) = -8*g**2 - 13*g - 6. Let k(o) = o**3. Let l = -58 + 54. Let b(r) = l*d(r) + 4*k(r). Find x, given that b(x) = 0.
-6, -1
Let w(k) = k**3 - k**2 + k - 4. Let u be w(2). Let m(a) be the second derivative of 2*a + 0 - 1/2*a**3 - 9/4*a**u - 1/24*a**4. Factor m(n).
-(n + 3)**2/2
Let w = 68 - 63. Factor -28*i + 8*i - w*i**3 - 1200*i**2 + 1180*i**2.
-5*i*(i + 2)**2
Suppose -171/2*t**2 - 54 + 15/2*t**3 + 168*t = 0. What is t?
2/5, 2, 9
Let f be 8 + (0 - 2) + -1. Suppose 4*d - 9 = -3*k, -12 = k - f*k + d. Factor -3*p**4 + 4*p**4 + k*p**2 - 4*p**4 - 3*p**3 + 0*p**2 + 3*p.
-3*p*(p - 1)*(p + 1)**2
Let g be -7 + -200*(-24)/576. Find s such that -16/9*s**4 - g - 68/9*s**2 - 2/9*s**5 - 16/3*s**3 - 46/9*s = 0.
-3, -2, -1
Let l(b) = b + 9. Let g be l(-6). Suppose 4*o - 32 = -4*k, -5*o - k = -g*o - 11. Find t, given that t**3 + t**3 - o*t**3 = 0.
0
Let p = 8750 + -8747. Factor -14/9*l + 2/3 + 10/9*l**2 - 2/9*l**p.
-2*(l - 3)*(l - 1)**2/9
Let j(c) = 14*c**3 - 177*c**2 + 1197*c + 7997. Let m(i) = -39*i**3 + 532*i**2 - 3592*i - 23992. Let w(f) = -8*j(f) - 3*m(f). Determine x so that w(x) = 0.
-4, 20
Let c(a) be the first derivative of a**5/5 - 41*a**4/2 + 587*a**3 - 1640*a**2 + 1600*a + 172. Solve c(l) = 0.
1, 40
Let t(m) be the second derivative of -8*m - 1/22*m**4 - 1/165*m**6 + 0 + 0*m**2 + 3/110*m**5 + 1/33*m**3. Find j such that t(j) = 0.
0, 1
Let v(f) be the second derivative of -f**6/540 + f**5/90 - f**4/54 + 5*f**2/2 - 4*f. Let s(z) be the first derivative of v(z). Find p, given that s(p) = 0.
0, 1, 2
Suppose 4*q = -3 + 11. Factor 7*z**2 - 6*z + 4*z**3 - 2*z**4 + q*z + z**2 + 1 - 7.
-2*(z - 3)*(z - 1)*(z + 1)**2
Let b = -26 + 32. Let o be (-77)/(-49) + b/14. Factor 1/5 - 16/5*p**o - 4/5*p + 64/5*p**3.
(4*p - 1)**2*(4*p + 1)/5
Let j(t) be the first derivative of -2/7*t**4 + 0*t + 0*t**2 - 7 + 2/7*t**3 + 2/35*t**5. Factor j(w).
2*w**2*(w - 3)*(w - 1)/7
Let b(v) = 5*v**2 - 244*v + 263. Let s(t) = 5*t**2 - 245*t + 260. Let a(p) = -5*b(p) + 6*s(p). Factor a(k).
5*(k - 49)*(k - 1)
Let b(v) be the third derivative of v**6/1440 - v**5/160 + v**4/48 - v**3/3 + 19*v**2. Let t(c) be the first derivative of b(c). Suppose t(g) = 0. Calculate g.
1, 2
Let r be ((-80)/50)/((-6)/20). Let h(p) be the third derivative of r*p**3 + 0*p - 3*p**2 + 1/30*p**6 + 0 + 2/5*p**5 + 2*p**4. Factor h(n).
4*(n + 2)**3
Let x(z) be the second derivative of -z**5/80 + z**4/16 + 2*z - 109. Let x(u) = 0. Calculate u.
0, 3
Solve -18/11*l**3 + 112/11 + 612/11*l + 482/11*l**2 = 0.
-1, -2/9, 28
Let t(y) = 125*y**3 - 170*y**2 + 45*y - 35. Let s(d) = -14*d**3 + 19*d**2 - 5*d + 4. Let b(v) = -35*s(v) - 4*t(v). Factor b(g).
-5*g*(g - 1)*(2*g - 1)
Let a(i) be the third derivative of -i**7/525 + i**6/25 + i**5/50 - 17*i**4/30 - 8*i**3/5 - 13*i**2 - i. Solve a(s) = 0 for s.
-1, 2, 12
What is l in l**4 - 57/10*l + 34/5*l**2 - 1/10*l**5 - 19/5*l**3 + 9/5 = 0?
1, 2, 3
Let d(k) = -k**4 - k**3 + k + 1. Let l(p) = 6*p**4 + 5*p**3 + 3*p**2 + p - 3. Let s(i) = 14*d(i) + 2*l(i). Factor s(m).
-2*(m - 2)*(m + 1)**2*(m + 2)
Let s(l) = -2*l**3 - 149*l**2 + 284*l - 163. Let x(k) = 3*k**3 + 224*k**2 - 425*k + 246. Let m(g) = -8*s(g) - 5*x(g). Solve m(b) = 0.
-74, 1
Let z = -12 + 9. Let t be z + (-21)/(-4) + 0/1. Solve -1/4 + t*v - 5*v**2 = 0 for v.
1/5, 1/4
Suppose -c = -n + 3, -12 = 6*c - 10*c. Let z(w) be the third derivative of 0*w**5 - 1/70*w**7 + 1/2*w**3 - 3*w**2 + 1/20*w**n - 1/4*w**4 + 0 + 0*w. Factor z(f).
-3*(f - 1)**3*(f + 1)
Let o(q) be the third derivative of -1/40*q**5 + 0*q + 0*q**3 - 13*q**2 + 0 + 3/160*q**6 - 1/32*q**4. Suppose o(r) = 0. What is r?
-1/3, 0, 1
Let c(h) be the third derivative of 0 + 1/180*h**5 + 0*h + 3*h**2 + 1/360*h**6 - 1/36*h**4 + 0*h**3. Factor c(b).
b*(b - 1)*(b + 2)/3
Suppose 22/5*p**2 - 1/5*p**4 + 8*p + 0 - 19/5*p**3 = 0. What is p?
-20, -1, 0, 2
Let w(k) be the second derivative of -25/3*k**3 - 5/12*k**4 + 0 - 125/2*k**2 + 22*k. Factor w(r).
-5*(r + 5)**2
Let s(g) be the second derivative of g**4/6 - 4*g**3/3 - 45*g**2 - 3*g - 40. Factor s(z).
2*(z - 9)*(z + 5)
Suppose 2*i - f = 5*i - 6, -4*i = -4*f - 24. Suppose i*g - 32 = g. Find j, given that 1 - 28*j + 2 + 5 - g*j**2 = 0.
-2, 1/4
Let j(u) be the first derivative of -u**6/45 + 2*u**5/75 + u**4/15 - 4*u**3/45 - u**2/15 + 2*u/15 - 23. Factor j(f).
-2*(f - 1)**3*(f + 1)**2/15
Let x(m) be the second derivative of 1/294*m**7 - 1/42*m**6 + 3/70*m**5 + 3/14*m**2 + 0 + 6*m + 1/42*m**4 - 1/6*m**3. Factor x(l).
(l - 3)*(l - 1)**3*(l + 1)/7
Factor 0*n**2 + 0 + 0*n**3 + 1/8*n**5 + 5/4*n**4 + 0*n.
n**4*(n + 10)/8
Let v(m) be the first derivative of 1/3*m**4 + 1/3*m**2 - 1/15*m**5 - 5/9*m**3 - 16 + 0*m. What is y in v(y) = 0?
0, 1, 2
Suppose -3*q - 499 = -493, -5*m = -q - 12. Suppose 4/3*a**4 - 16/3 - 16/3*a**3 + 16/3*a + 4*a**m = 0. What is a?
-1, 1, 2
Let y(t) be the second derivative of -t**7/21 - 8*t**6/15 + 2*t**5 - t**4/3 - 19*t**3/3 + 10*t**2 - 106*t. Solve y(j) = 0 for j.
-10, -1, 1
Let y(z) be the second derivative of 19*z**5/10 + 3*z**4 - 5*z**3/3 - 3*z**2 + 21*z. Let u(c) = c**3 - c - 1. Let n(a) = -2*u(a) - y(a). Factor n(o).
-4*(o + 1)*(2*o - 1)*(5*o + 2)
Suppose -50/7*c**5 + 340/7*c**4 + 48/7*c**2 + 0 + 0*c - 248/7*c**3 = 0. What is c?
0, 2/5, 6
Let p(f) be the first derivative of f**5/300 + f**4/40 - 2*f**3/15 + 33*f**2/2 - 33. Let t(c) be the second derivative of p(c). Solve t(w) = 0.
-4, 1
Suppose 3*b - 5*v - 115 = 4, -5*v - 20 = 0. Solve 13*c**2 + 4*c**3 - b*c**2 + 16*c**5 - 14*c - 6*c**5 + 22*c**4 - 2 = 0 for c.
-1, -1/5, 1
Let i(y) be the first derivative of -9 + 