*o + 585 = -1341. Suppose p = -2*l - 6, p = -3*p + 5*l + 28. Factor -1/4*g**p + 0*g - 1/4*g**o + 0.
-g**2*(g + 1)/4
Suppose 0 = -12*v + 11*v. Let a(i) be the second derivative of 0 - 2/3*i**3 - 1/6*i**4 + v*i**2 + 6*i. Factor a(p).
-2*p*(p + 2)
Factor 8*l**5 + 22*l + 9*l**4 - l**5 + 10*l - 9*l**5 + l**5 - 22*l**3.
-l*(l - 4)**2*(l - 2)*(l + 1)
Let z(x) be the second derivative of 0 - 3/2*x**4 + 7/10*x**5 + 26*x - 1/3*x**3 + 2*x**2 + 7/15*x**6 - 2/7*x**7. Solve z(m) = 0 for m.
-1, -1/2, 2/3, 1
Let j(k) = 5*k**2 + 12*k - 1. Let n be j(-3). Suppose 0 = 2*b + n*b. Solve 1/8*q**2 + b*q + 0 - 1/4*q**3 + 1/8*q**4 = 0.
0, 1
Let f = -154 - -473. Factor 131*b**2 + 43 + 92 - 405*b - 119*b**3 + f*b**2 - 101*b**3 + 40*b**4.
5*(b - 1)*(2*b - 3)**3
Let t(r) = r**3 - r**2 - r + 3. Let u be t(0). Let o(x) = 2*x - 2. Let p be o(u). Factor -11 - p*f**3 - 6*f + 11 - 3*f**2 + 7*f**3.
3*f*(f - 2)*(f + 1)
Let g(y) be the second derivative of -y**6/6 + 3*y**5/4 + 41*y. Factor g(q).
-5*q**3*(q - 3)
Let a(h) = -5*h**3 + 1536*h**2 - 3057*h + 1577. Let b(f) = f**3 - 256*f**2 + 509*f - 263. Let i(m) = -6*a(m) - 34*b(m). Let i(v) = 0. What is v?
-130, 1
Factor 4*m - 30 + 4*m + 27*m**2 - 25*m**2 - 4*m.
2*(m - 3)*(m + 5)
What is c in 9*c**2 + 6*c + 80*c - 4*c**3 + 18*c**2 + 44 - 2*c + 9*c**2 = 0?
-1, 11
Let j = 23 + -19. Factor 15*s + 11*s**2 + 5 + 0 + 5*s**3 + j*s**2.
5*(s + 1)**3
Let f = 35941/120 - 599/2. Let h(k) be the third derivative of -f*k**5 + 0 + 9*k**2 + 0*k - 1/12*k**3 + 1/24*k**4. Determine r so that h(r) = 0.
1
Let k = 619/22 + -7871/286. Solve -k*c**2 + 2/13*c**3 + 2/13*c + 12/13 = 0.
-1, 2, 3
Suppose 2/3*j + 26/3*j**4 + 26/3 + 2/3*j**5 - 4/3*j**3 - 52/3*j**2 = 0. Calculate j.
-13, -1, 1
Let k(n) be the second derivative of 0 + 0*n**2 - 1/18*n**3 + 1/36*n**4 + 4*n. Factor k(l).
l*(l - 1)/3
Find u such that -1682/9*u - 8/9*u**3 - 112/3 - 1354/9*u**2 = 0.
-168, -1, -1/4
Let -4/11*a - 6/11*a**3 + 0 - 14/11*a**2 = 0. What is a?
-2, -1/3, 0
Let o be (-39)/325*-5*(-5)/(-1). Suppose 5/9*w - 1/9*w**o + 1/3 + 1/9*w**2 = 0. What is w?
-1, 3
Let d be 2/((-24)/6) - 13/2. Let m be (d/(-35))/((-1)/(-2)). Factor 0 - 2/5*k**3 + 4/5*k**2 - m*k.
-2*k*(k - 1)**2/5
Let y(z) be the second derivative of z**7/630 - z**6/90 + 3*z**4/4 - 3*z. Let i(v) be the third derivative of y(v). What is d in i(d) = 0?
0, 2
Let u(z) be the second derivative of z**7/147 + 4*z**6/105 - z**5/35 - 4*z**4/21 + z**3/21 + 4*z**2/7 + 165*z - 1. Let u(c) = 0. What is c?
-4, -1, 1
Let n(j) = -14*j + 182. Let h be n(13). Let q(i) be the third derivative of -1/2*i**4 + 0 - 3*i**3 + h*i - 1/30*i**5 - 2*i**2. Factor q(a).
-2*(a + 3)**2
Let c(l) be the first derivative of -841*l**3/15 - 174*l**2/5 - 36*l/5 + 154. Solve c(r) = 0.
-6/29
Let z be (50/(-175) + 152/140)*10/76. Determine j so that z*j**2 + 28/19*j + 98/19 = 0.
-7
Let j be (-142)/10 + 2 - 6/(-30). Let y be (16/j)/(-1 - (-21)/(-9)). Factor 8/5 - y*g**3 - 6/5*g**2 + 0*g.
-2*(g - 1)*(g + 2)**2/5
Suppose 0 = -5*g, -4*g = -4*b + 13 + 7. Determine w, given that -40*w**4 - 95*w**2 - 9*w**2 - b*w**5 - 105*w**3 + 14*w**2 = 0.
-3, -2, 0
Let a(b) = -b**3 + 2*b - 2. Let t(x) = 4*x**3 + 10*x**2 + 12. Let v(y) = 6*a(y) + t(y). Factor v(s).
-2*s*(s - 6)*(s + 1)
Suppose -5*t**2 - 2832934*t**3 - 3*t**4 + 2832919*t**3 + 36*t + 29*t**2 = 0. Calculate t.
-6, -1, 0, 2
Let d(f) = 5*f**2 - 52*f - 4. Let b(v) = -6*v**2 + 51*v + 5. Let z(s) = -4*b(s) - 5*d(s). Determine j so that z(j) = 0.
0, 56
Let m = 8 + -9. Let k be (-2 + 0 + -1)*m. Determine y, given that -y**3 + 2*y**3 + 3*y**k - 3*y**2 - y**2 = 0.
0, 1
Let h(a) be the second derivative of -a**7/63 + a**6/18 + a**5/15 - a**4/12 + a + 114. Find l, given that h(l) = 0.
-1, 0, 1/2, 3
Let t = 415 + -3733/9. Let y(d) be the third derivative of -5*d**2 + 0 + 1/12*d**4 - 1/90*d**5 + 0*d - t*d**3. Let y(r) = 0. Calculate r.
1, 2
Let j(s) be the first derivative of -315*s**4/4 - 1250*s**3/3 - 610*s**2 + 40*s - 340. Let j(v) = 0. What is v?
-2, 2/63
Let g = 22 + -18. Suppose -5*r = -3*r + g, r = 4*k - 10. Factor 5*c**2 - 8*c + 6 - 4*c**2 + c**k.
2*(c - 3)*(c - 1)
Let t(f) be the first derivative of f**5 + 65*f**4/4 + 50*f**3/3 - 60*f**2 - 829. Suppose t(b) = 0. Calculate b.
-12, -2, 0, 1
Let m = 7234 + -21701/3. Let q be (2/(-18))/(3/(-9)). Solve -q*y**3 - m*y**2 + 0*y + 0 = 0 for y.
-1, 0
Let g(v) be the third derivative of -v**5/450 + v**4/5 - 36*v**3/5 + 21*v**2. Factor g(i).
-2*(i - 18)**2/15
Let y = 120 + -115. Suppose -3*c = 2*c - y, 0 = 5*h + 5*c - 25. Factor -2/5*w**2 + 0 - 2/5*w**3 + 2/5*w + 2/5*w**h.
2*w*(w - 1)**2*(w + 1)/5
Let d(z) be the first derivative of 2*z**3/3 - 18*z**2 + 34*z + 97. Factor d(s).
2*(s - 17)*(s - 1)
Solve 1/5 - 1/5*n**2 + 1/10*n**3 - 1/10*n = 0 for n.
-1, 1, 2
Let o = -88084/9 + 9788. Suppose 0 + 4/9*p - 2/9*p**4 - 10/9*p**2 + o*p**3 = 0. What is p?
0, 1, 2
Let m(w) be the first derivative of -9/7*w + 4 - 1/7*w**3 - 6/7*w**2. Factor m(t).
-3*(t + 1)*(t + 3)/7
Let u(q) be the second derivative of 1/18*q**4 - 2*q + 0 + 1/3*q**3 - 2/3*q**2 + 1/45*q**6 - 1/10*q**5. Solve u(i) = 0 for i.
-1, 1, 2
Let h(r) = -237*r**2 + 3*r + 3. Let a be h(-1). Let c = -229 - a. Factor 4*b + c + 1/2*b**2.
(b + 4)**2/2
Let j(t) be the second derivative of -1/5*t**6 + 8*t + 0 + 0*t**2 + 1/10*t**5 + 1/2*t**4 + 0*t**3 - 1/21*t**7. Solve j(i) = 0.
-3, -1, 0, 1
Let v = 33 - 27. Let d(l) = l - 3. Let t be d(v). Determine a, given that t*a**3 + 13/2*a**2 + 1/2*a**4 + 6*a + 2 = 0.
-2, -1
Let j(d) be the second derivative of d**7/1512 - d**6/108 + d**5/18 + 5*d**4/6 + 21*d. Let l(a) be the third derivative of j(a). Factor l(p).
5*(p - 2)**2/3
Let k(a) be the second derivative of a**4/3 + 16*a**3/3 + 14*a**2 + 4*a + 1. Solve k(t) = 0 for t.
-7, -1
Let o(m) = -15*m**2 + 22*m - 28. Let z(k) = -12*k**2 + 21*k - 27. Let r(l) = 3*o(l) - 4*z(l). Solve r(t) = 0 for t.
2, 4
Let r = -94 + 99. Let z(y) be the second derivative of 0*y**3 + 1/72*y**4 + 1/120*y**r + 0*y**2 - 1/90*y**6 + 3*y + 0. Factor z(c).
-c**2*(c - 1)*(2*c + 1)/6
Let b(z) = -z**3 - 9*z**2 - 4*z - 138. Let c be b(-10). Let -2/3*j - 2/3*j**c + 4 = 0. Calculate j.
-3, 2
Let j be ((-15)/4 - -3)*-28. Solve -104*n**3 - j*n**5 - 66*n**2 - 185*n**4 + 109*n**4 - 2 - 3*n - 16*n = 0 for n.
-1, -1/3, -2/7
Let k = 331/42 - 101/14. Let 0*b + 0 - k*b**2 + 7/3*b**3 = 0. What is b?
0, 2/7
Let a(m) = 2*m - 10. Let w be a(8). Suppose 2*b + 20 = w*b. Factor -2*t**2 + 2 + 2*t**4 + 3 - b.
2*t**2*(t - 1)*(t + 1)
Let a(b) be the second derivative of -52/45*b**5 + 7/6*b**4 - 16/135*b**6 + 50/27*b**3 - 3*b + 6 + 7/9*b**2. What is n in a(n) = 0?
-7, -1/4, 1
Let 1016*w**5 + 97*w**2 - 195*w**3 - 1006*w**5 + 3*w**2 - 15*w**4 = 0. Calculate w.
-4, 0, 1/2, 5
Find o such that -3/5*o**2 - 411/5*o - 408/5 = 0.
-136, -1
Suppose 15*l - 18*l + 18 = 0. Factor 5*n**2 + 20*n + 0*n**2 + 12 - l + 14.
5*(n + 2)**2
Let b = 16 - -14. Let q = b + -19. Factor 108*c**4 + 27*c**5 + 171*c**3 + 52*c + 0*c + q - 3 + 134*c**2.
(c + 1)**2*(3*c + 2)**3
Let k(h) = -h**2 + 13*h - 9. Let w be k(12). Factor -4*f**3 + 5*f**w - f**3 + f**4 + 3*f**3.
f**3*(f + 3)
Let q(u) = -u**2 - 1. Let w(k) = 0*k**2 + 7*k + 2*k**2 + 2*k. Let i be w(-6). Let f(t) = 10*t**2 + t + 9. Let l(v) = i*q(v) + 2*f(v). Factor l(a).
2*a*(a + 1)
Suppose -29*u + 141 = -4. Suppose x - 3*m = 16, 3*x - m = -5*m - 4. Solve -10/9*s**x - 20/9*s**2 + 2/9*s**u - 2/9 + 10/9*s + 20/9*s**3 = 0.
1
Let b(r) be the second derivative of -1/6*r**4 + 19*r + 0 - 3/10*r**5 + r**2 + r**3. Suppose b(s) = 0. Calculate s.
-1, -1/3, 1
Suppose q = 3*i + 17, -4*q + 3*i + 58 = i. Factor -24*d + 18*d**2 - q*d**2 - 44*d + 4*d + 256.
4*(d - 8)**2
Let o be ((-62)/(-341))/(1/11). Let s(l) be the second derivative of -14/25*l**6 + 2*l**5 + 8/5*l**o - 11/5*l**4 - 5*l + 0*l**3 + 0. Solve s(r) = 0.
-2/7, 2/3, 1
Let c(i) = 135*i + i**3 - 139 + 74*i**2 + 4*i**3 - 119*i**2. Let f(u) = -5*u**3 + 45*u**2 - 135*u + 138. Let x(q) = 3*c(q) + 4*f(q). Factor x(d).
-5*(d - 3)**3
Let i(j) be the first derivative of -3*j - 2 - j**2 - 1/9*j**3. Factor i(l).
-(l + 3)**2/3
What is c in 66*c + 62*c - 124*c + 4*c**2 - 8 = 0?
-2, 1
Let m = 51 - 83. Let h be (-1)/(12/m) - (-1)/3. Factor 0*g**2 + 2/5*g**h + 0*g + 0.
2*g**3/5
Let g(y) be the second derivative of 0 + 0*y**2 + 1/40*y**5 - 11*y + 1/6*y**3 - 1/8*y**4