ose -f - 20*o - 5*o**3 + 393 - k*o**2 = 0. Calculate o.
-2, 0
Suppose -5*g - 29 = 3*k + 15, -2*k - 5*g = 26. Let u be 122/k + -19 + 26. Let -2/9*s**4 + u*s**2 - 2/9*s + 0 + 2/9*s**3 = 0. What is s?
-1, 0, 1
Let b(k) = -18*k**2 + k + 20. Let f(s) = -8*s**2 + s + 9. Let r(i) = 2*b(i) - 5*f(i). Let d be r(-1). Solve 0 - 3/10*v**3 - v**d - 3/10*v = 0 for v.
-3, -1/3, 0
Determine c so that -225*c + 10*c**2 + 110 + 125*c**4 + 188*c**3 + 127*c**4 + 5*c**5 + 32*c**3 - 372*c**4 = 0.
-1, 1, 22
Let x(h) = -4*h**3 - 276*h**2 + 8. Let l(w) = 11*w**3 + 553*w**2 - 20. Let v(z) = -2*l(z) - 5*x(z). Determine m so that v(m) = 0.
0, 137
Suppose -34*k + 20*k = -22*k + 16. Let o(x) be the second derivative of 0 - 1/42*x**4 + 39*x - 1/21*x**3 + 6/7*x**k. Suppose o(p) = 0. What is p?
-3, 2
Let h(b) be the first derivative of 0*b + 7 + 8/5*b**5 + 1/3*b**6 + 5*b**2 - 3*b**4 - 8/3*b**3. Factor h(w).
2*w*(w - 1)**2*(w + 1)*(w + 5)
Suppose -2/11*w**4 - 504/11*w**2 + 0*w + 96/11*w**3 + 0 = 0. What is w?
0, 6, 42
Let m be (3/4)/((-4)/32) + 37. Let c(y) be the first derivative of -9/4*y**4 - 1/6*y**6 + 0*y - m + 2*y**2 - 11/10*y**5 - 2/3*y**3. Solve c(n) = 0.
-2, 0, 1/2
Factor -8/13*q + 2/13*q**3 - 64/13 + 16/13*q**2.
2*(q - 2)*(q + 2)*(q + 8)/13
Let a(w) be the first derivative of w**5/300 + w**4/15 + 7*w**3/30 - 2*w**2 - 6*w - 55. Let u(i) be the second derivative of a(i). Factor u(c).
(c + 1)*(c + 7)/5
Let d(i) be the third derivative of 17*i**8/4032 + i**7/63 - i**6/144 - i**5/30 - 2*i**4/3 + 8*i**2 - 1. Let g(z) be the third derivative of d(z). Factor g(w).
5*(w + 1)*(17*w - 1)
Suppose 9236*d - 104*d**3 + 106*d**3 + 31684 - 110*d**2 + 470*d**2 + 7318*d = 0. What is d?
-89, -2
Solve -109 + 5*q**2 + 935 + 227 + 77 - 289*q - 286*q = 0.
2, 113
Let o(r) = -135*r**4 - 843*r**3 + 231*r**2 + 627*r + 168. Let n(h) = -2*h**4 - 3*h**3 - h**2 - h - 1. Let x(f) = -6*n(f) - o(f). Factor x(b).
3*(b - 1)*(b + 6)*(7*b + 3)**2
Suppose 23 = 6*h + 11. Let r = -11 - -14. Find b such that 4*b + r*b**3 - 11*b**2 - 16*b + 2*b**h = 0.
-1, 0, 4
Factor 653 + d**4 + 67*d**3 - 426 + 3200*d + 1218*d**2 - 31 + 728 + 1124.
(d + 1)*(d + 2)*(d + 32)**2
Let w(o) = o**3 + o + 1. Let y(h) = 8*h**3 - 70*h**2 - 206*h + 170. Let z(t) = 2*w(t) - y(t). Factor z(v).
-2*(v - 14)*(v + 3)*(3*v - 2)
Let p(a) be the first derivative of -a**3/3 + 399*a**2/2 - 398*a - 1382. Factor p(n).
-(n - 398)*(n - 1)
Let r = 19 + -10. Suppose r*f = -f + 20. Factor 25*w**f + 479 - 15*w - 10*w**3 - 479.
-5*w*(w - 1)*(2*w - 3)
Let m(c) be the first derivative of -c**6/36 + 11*c**5/6 + 25*c**4/8 - 32*c + 108. Let x(b) be the first derivative of m(b). Find s, given that x(s) = 0.
-1, 0, 45
Let u be (-203)/(-420)*5 - 650/300. Solve -9/4*l - 2*l**2 + 0 + u*l**3 = 0 for l.
-1, 0, 9
Let c be (139897/494)/37 + 14/(-455)*5. Factor 27/4*k**2 + 117/8*k + c - 3/8*k**3.
-3*(k - 20)*(k + 1)**2/8
Let q(v) be the third derivative of v**5/100 + 61*v**4/10 - 246*v**3/5 - 30*v**2 - 16. Suppose q(f) = 0. Calculate f.
-246, 2
Let v(n) be the second derivative of -n**4/12 - 248*n**3/3 - 30752*n**2 + 1293*n. Factor v(j).
-(j + 248)**2
Let h(s) be the third derivative of -4257/32*s**4 - 1/168*s**7 + 141/160*s**6 - 1729/48*s**5 + 0*s - 1849/12*s**3 + 0 - 146*s**2. Let h(d) = 0. Calculate d.
-1, -2/5, 43
Let z = -40675 - -44498453/1094. Let b = z - -541/2188. Factor 5/4*t**2 + 1 - b*t**3 - 2*t.
-(t - 2)**2*(t - 1)/4
Let p(m) be the second derivative of -2/147*m**7 + 7*m + 3/14*m**6 + 17/14*m**3 - 47/140*m**5 - 5/7*m**2 - 5/12*m**4 + 2. Determine y, given that p(y) = 0.
-1, 1/4, 1, 10
Let w = -3032779/5 - -606557. Find l such that w - 4/5*l + 2/15*l**2 = 0.
3
Let r(t) = 36*t**2 - 3*t**3 - 45*t + 14*t**3 - 6*t**3 + 8 + 6. Let j(s) = s**3 + s**2 - 2*s + 1. Let v(h) = -30*j(h) + 3*r(h). Suppose v(a) = 0. Calculate a.
1/5, 1, 4
Find n such that -2/11*n**2 - 264 - 1456/11*n = 0.
-726, -2
Let d(q) = 43*q + 255. Let z be d(-6). Let g be (-10 + 10)/(z - -5). Factor 4/11*c**3 + g - 6/11*c**2 - 4/11*c.
2*c*(c - 2)*(2*c + 1)/11
Let s(d) = -2*d + 38. Let b = 39 + -22. Let u be s(b). Find f, given that 4*f**4 - 14*f**u - 4*f**2 + 8*f**3 + 6*f**4 = 0.
0, 1
Let i = -429 + 449. Let o(w) = -2*w**2 - 2*w. Let b(j) = 5*j**3 + 45*j**2 + 20*j - 20. Let r(k) = i*o(k) + b(k). Determine g, given that r(g) = 0.
-2, -1, 2
Let o(p) be the second derivative of 9*p**5/70 + 1685*p**4/7 + 1924*p**3/3 + 4488*p**2/7 + 6*p + 128. Factor o(l).
2*(l + 1122)*(3*l + 2)**2/7
Let c(m) be the third derivative of -3*m**8/112 - m**7/105 + 27*m**6/20 - 21*m**5/5 + 71*m**4/24 + 5*m**3 - m**2 - 674. Determine p, given that c(p) = 0.
-5, -2/9, 1, 3
Factor -2/3*u**4 + 810*u**2 + 86*u**3 + 2484 + 2466*u.
-2*(u - 138)*(u + 3)**3/3
Determine z, given that -3/5*z**2 + 66/5*z - 24 = 0.
2, 20
Let g(z) = z**4 - 257*z**3 + 15865*z**2 + 252*z - 15876. Let l(q) = -q**4 + 258*q**3 - 15863*q**2 - 252*q + 15876. Let s(n) = 6*g(n) + 5*l(n). Factor s(k).
(k - 126)**2*(k - 1)*(k + 1)
Let n = -1481 - -1499. Suppose 2*h - 9 = h. Solve 40*v**2 - h*v**3 - 18*v - n*v - 3*v**3 + 8 + 0 = 0.
1/3, 1, 2
Let d(a) = -a**2 - a. Let y(x) = -x**2 + 33*x - 33. Let c be y(32). Let i(p) = 4*p**3 - 60*p**2 + 80*p. Let v(r) = c*i(r) + 20*d(r). Factor v(q).
-4*q*(q - 5)**2
Let u(o) be the second derivative of o**6/10 + 1533*o**5/10 + 261121*o**4/4 - 21*o - 22. Factor u(l).
3*l**2*(l + 511)**2
Let y = 158482/7 + -22640. What is a in 2/7*a - y*a**2 + 4/7 = 0?
-1, 2
Let x be (2 - 3) + -2 + ((-8532)/(-15))/36 + -12. Determine v so that 61/5*v - x*v**4 - 18/5 - 29/5*v**2 - 8*v**3 = 0.
-9, -2, 1/2
Let n = -17 - -22. Let i(z) = 3*z**3 - 3*z**3 + 7 + 7*z - 9*z**3 + n*z**3 - z**2. Let k(l) = l**3 - l - 1. Let x(q) = -i(q) - 3*k(q). Factor x(f).
(f - 2)*(f + 1)*(f + 2)
Let v = -2332 - -2337. Let l(s) be the second derivative of -1/30*s**6 + 0 + 1/6*s**4 + 12*s + 0*s**3 + 0*s**2 + 1/20*s**v. Let l(z) = 0. What is z?
-1, 0, 2
Let m(j) be the first derivative of j**5/5 + j**4/3 - 6*j**3 - 18*j**2 - 131*j + 75. Let z(x) be the first derivative of m(x). Factor z(l).
4*(l - 3)*(l + 1)*(l + 3)
Let i(s) = 13*s + 146. Let m = -487 - -476. Let h be i(m). Factor 0 + 4/3*v**h + 0*v - 2/3*v**4 + 0*v**2.
-2*v**3*(v - 2)/3
Factor -320*a**3 - 1373125 + 20150*a**2 - 1183000/3*a + 5/3*a**4.
5*(a - 65)**3*(a + 3)/3
Let -18 + 61*c - 33*c**3 + 21*c**3 + 12*c**2 + 11*c**3 + 44 + 22 = 0. Calculate c.
-3, -1, 16
Let y(q) = q**2 + 11*q + 10. Let c(s) = 4*s - 30. Let t be c(8). Let n(r) = 2*r**2 + 32*r + 23 + r**2 + t + 4. Let g(v) = -6*n(v) + 17*y(v). Factor g(p).
-(p + 1)*(p + 4)
Let 2196/19 + 2/19*w**2 - 2198/19*w = 0. Calculate w.
1, 1098
Let v(i) = -i**2 - 8*i + 1. Let u be v(-7). Suppose 0 = 3*q + 3*k - 9, -34 + 31 = -q + 4*k. What is n in 15 + u*n**2 - 21 - 5*n + 6*n**2 - q*n = 0?
-3/7, 1
Suppose 0*g - 3*g - 2*y = 0, 0 = -4*y - 12. Let a = -169/10 + 157/5. Factor 0 + 9/2*r**4 + 12*r**2 - g*r - a*r**3.
r*(r - 2)*(r - 1)*(9*r - 2)/2
Factor 342285*w**2 - 342371*w**2 - 6641 + 1840*w + 2*w**3 + 1009 - 624*w.
2*(w - 16)**2*(w - 11)
Let u(q) be the first derivative of q**3 + 3*q + 1/10*q**4 + 142 + 14/5*q**2. Let u(z) = 0. Calculate z.
-5, -3/2, -1
Let i(z) be the second derivative of z**4/3 + 260*z**3 + 778*z**2 + 24*z + 11. Factor i(q).
4*(q + 1)*(q + 389)
Suppose -3*f = -5*o + 43 + 467, -5*f + 74 = o. Suppose o = 5*d + 2*j, -5*d + 4*d = -2*j - 15. Find a such that 58*a**2 - d*a - 35*a**2 - 27*a**2 + 3*a = 0.
-4, 0
Suppose 23*d - 39 = 30. Factor d*b**2 + b - 4*b**4 + 6*b**2 - b**3 - 7*b**2 + 2*b**4.
-b*(b - 1)*(b + 1)*(2*b + 1)
Suppose -11*n + 8*n + 36 = 0. Let q be 20 - 13 - 76/n. Find l, given that -4/3 + 4/3*l**2 + 2*l + q*l**5 + 0*l**4 - 8/3*l**3 = 0.
-2, -1, 1
Let f = -139 + 94. Let u = 50 + f. Solve -5*s + 0*s + 4*s**3 + 7*s**2 + 4 + 17*s + u*s**2 = 0 for s.
-1
Let g(p) be the first derivative of -189/4*p**4 - 9*p**5 - 49*p**3 - 1/2*p**6 + 0*p + 123 + 0*p**2. Factor g(d).
-3*d**2*(d + 1)*(d + 7)**2
Let g(j) = j**2 + 5*j - 16. Let l be g(-7). Let f(x) = 4*x**2 - 8*x - 20. Let h(n) = n**2 + n. Let a(p) = l*f(p) + 12*h(p). Factor a(c).
4*(c + 2)*(c + 5)
Let o(j) be the second derivative of j**5/20 + 13*j**4/12 + 4*j**3 - 54*j**2 + 3172*j. What is u in o(u) = 0?
-9, -6, 2
Let l(r) = -12*r**2 - 150*r - 148. Let h(t) = t**2 + 7*t + 2. Let n(g) = -39*h(g) - 3*l(g). Deter