 + -11. Suppose -d = -4*i + 3. Let -c + 3*c - c**2 - 2 + 2*c**i - 3*c = 0. Calculate c.
-1, 2
Factor 127234*b**2 + 125*b**5 + 6966*b**4 + 1444*b**4 - 260*b**4 + 137660*b**3 + 8192 + 61952*b + 30214*b**2.
(b + 32)**2*(5*b + 2)**3
Let g be 13 - (2 + 2 + -4). Let n(a) = -a + 13. Let r be n(g). Factor -t**4 + 2 + r - 5*t**2 + 4*t**4 + t + 0*t**4 - t**3.
(t - 1)**2*(t + 1)*(3*t + 2)
Let a(r) be the first derivative of r**3/9 + 5*r**2/2 - 34*r/3 - 648. Factor a(y).
(y - 2)*(y + 17)/3
Let i be 3/(357/(-34)) + (-22)/(-28). Determine h, given that i*h + 1/4*h**2 + 1/4 = 0.
-1
Let 2/3*l - 1/9 + 1/9*l**2 - 2/3*l**3 = 0. What is l?
-1, 1/6, 1
Suppose 14*w - 35 = 35. Let z(u) be the second derivative of 0*u**3 + 0*u**4 + 1/98*u**7 + 0*u**6 + 0 + 0*u**2 - 3/140*u**5 - w*u. Factor z(t).
3*t**3*(t - 1)*(t + 1)/7
Let s be (-2)/(-266)*53/795. Let m(k) be the third derivative of -1/570*k**5 + 0*k**3 - 1/228*k**4 + 0 + 0*k + 1/1140*k**6 - 7*k**2 + s*k**7. Factor m(i).
2*i*(i - 1)*(i + 1)**2/19
Find p such that 18/23*p + 44/23 - 2/23*p**2 = 0.
-2, 11
Suppose 31*m - 36*m - 10 = -2*h, 0 = -3*m. Let j(o) be the first derivative of -h + 1/3*o**3 + 2*o**2 + 4*o. Find r, given that j(r) = 0.
-2
Suppose -738 = 5*v - 2*v - 5*k, 5*k + 949 = -4*v. Let x = -719/3 - v. Factor -4/3*b - 1/3*b**2 - x.
-(b + 2)**2/3
Let a be (-113)/(-196)*-3 + 2 + -1. Let c = 1/49 - a. Factor -15/4*n**2 + c*n + 0.
-3*n*(5*n - 1)/4
Let z be 8/((-15)/(-13) + -1). Suppose -z*a + 4*a**4 - 13 + 23 - 44*a**3 + 80*a**2 + 2*a**4 = 0. Calculate a.
1/3, 1, 5
Let f(d) = -d**3 - 46*d**2 + 83*d - 620. Let t be f(-48). Find n such that 1/2*n**t - 1/2*n**2 + 0*n**3 - 1/4*n + 0 + 1/4*n**5 = 0.
-1, 0, 1
Factor 9/5*h**5 + 91/5*h**3 - 47/5*h**4 - 81/5*h**2 - 4/5 + 32/5*h.
(h - 2)*(h - 1)**3*(9*h - 2)/5
Let w(b) = -b**3 + 4*b**2 + 9*b - 15. Let o be w(5). Determine z, given that z - o*z**2 - 3*z**3 + 36 + 2*z**2 + 23*z = 0.
-2, 3
Let y(w) be the first derivative of -2*w**5/25 - 32*w**4/15 + 88*w**3/45 - 551. Suppose y(c) = 0. Calculate c.
-22, 0, 2/3
Let m(i) be the first derivative of -i**9/1008 + i**7/140 - i**5/40 - 3*i**3 - 3. Let z(r) be the third derivative of m(r). Factor z(j).
-3*j*(j - 1)**2*(j + 1)**2
Let j(m) be the third derivative of -m**8/784 + 11*m**7/490 - 11*m**6/140 - 3*m**5/7 + 9*m**4/7 - 553*m**2. Solve j(f) = 0.
-2, 0, 1, 6
Let i = 35/1287 - 179593/25740. Let y = -16/5 - i. Suppose -3/4*p**2 + y*p - 3 = 0. What is p?
1, 4
Let i be ((-187)/(-22) + -9)/(2/(-4))*3. Find s, given that 0 + 2/5*s**i + 4/5*s**2 + 2/5*s = 0.
-1, 0
Suppose -222 + 26 = -7*k. Let -85*m + 13*m**2 - k - 5*m**3 - 22 - 53*m**2 = 0. What is m?
-5, -2, -1
Let p(d) = -2*d**2 - 17*d + 30. Let t be p(-10). Factor -2/3*m**3 + 4/3*m - 2/3*m**2 + t.
-2*m*(m - 1)*(m + 2)/3
Find r, given that -4/3*r**5 + 6*r**4 + 6 - 4*r - 52/3*r**2 + 0*r**3 = 0.
-1, 1/2, 3
Let w(m) = -2*m - 48. Let p be w(-26). Suppose 9 = 3*k - p*y, k - 4*y = -8 + 11. Find c such that 0 - 1/3*c + 4/3*c**5 + 1/3*c**2 + 11/3*c**4 + k*c**3 = 0.
-1, 0, 1/4
Let m(i) be the first derivative of 5*i**6/6 + 6*i**5 + 45*i**4/4 + 13. Solve m(z) = 0.
-3, 0
Let p(x) be the second derivative of x**7/147 - 2*x**6/35 + 4*x**5/35 + x**4/7 - 3*x**3/7 - 46*x. Let p(v) = 0. Calculate v.
-1, 0, 1, 3
Let j = 67 - 64. Factor -2*z + z**2 + 1/2*z**4 + 2*z**j - 3/2.
(z - 1)*(z + 1)**2*(z + 3)/2
Let q be ((-345)/(-36) + -11)*-28. Factor -q*s**2 - 4 + 80/3*s - 49/3*s**3.
-(s + 3)*(7*s - 2)**2/3
Let c(k) be the first derivative of 5*k**4/12 + 10*k**3/3 + 15*k**2/2 + k - 18. Let m(g) be the first derivative of c(g). Let m(z) = 0. Calculate z.
-3, -1
Let w(r) be the first derivative of r**5/10 + 7*r**4/8 + 5*r**3/2 + 9*r**2/4 - 730. Find l such that w(l) = 0.
-3, -1, 0
Suppose 5*p = -144*y + 140*y + 11, 2*p - 2 = -4*y. Factor -48/5*u**2 - 32/5*u**p - 24/5*u - 4/5.
-4*(2*u + 1)**3/5
Let j(b) = 11*b**2 + 338*b + 525. Let z(w) = 20*w**2 + 675*w + 1050. Let s(a) = -5*j(a) + 2*z(a). Factor s(i).
-5*(i + 21)*(3*i + 5)
Let m be (-1)/306*(-11802)/56. Let n = m + -3/136. Let 1/3*u**2 + 0 + n*u = 0. Calculate u.
-2, 0
Let n be 1/36*7/(56/6). Let f(v) be the second derivative of 5*v - 1/24*v**3 + 1/4*v**2 + 0 - n*v**4. Let f(z) = 0. Calculate z.
-2, 1
Let z = -5 - -13. Factor -1 + 1 - 4*b**5 + z*b**2 + 51*b**4 + 4*b - 59*b**4.
-4*b*(b - 1)*(b + 1)**3
Let r(c) be the first derivative of c**7/420 - c**6/90 + c**5/60 + 32*c**3/3 - 32. Let w(f) be the third derivative of r(f). What is i in w(i) = 0?
0, 1
Let z(y) = -2*y + 59. Let d be z(28). Suppose -d*a + 176 = 167. Factor 1/2*i**2 + a*i + 9/2.
(i + 3)**2/2
Let 14*y**4 + 54 + 596/3*y**2 - 2/3*y**5 - 174*y - 92*y**3 = 0. Calculate y.
1, 9
Let o be (-12)/(-7) + 4/14. Let c be 2/((-26)/(-117))*(6 + (-70)/12). Factor -6 + 6*b - c*b**o.
-3*(b - 2)**2/2
Suppose 0*x - 72/5 + 2/5*x**2 = 0. Calculate x.
-6, 6
Let z(p) be the second derivative of -p**4/8 - 22*p**3 - 261*p**2/4 + 13*p - 9. Suppose z(f) = 0. What is f?
-87, -1
Factor 0 - 116/5*v - 1/5*v**2.
-v*(v + 116)/5
Let v be (60/(-150))/(4/(-30)). Let g(q) be the second derivative of 0 + 1/16*q**4 + 1/4*q**3 + 3/8*q**2 + v*q. Factor g(f).
3*(f + 1)**2/4
Suppose -t + 2*h + 2 = 0, -3*t = 47*h - 46*h - 6. Factor -14/5 - 16/5*w - 2/5*w**t.
-2*(w + 1)*(w + 7)/5
Let t be 7 + 1 - 32/8. Suppose 5*o = 4*m - m + 14, 2*m + t = 2*o. Let -2*h**4 + 13*h**5 + 6*h**2 - 15*h**5 - 4*h**m - 2*h**3 + 4*h**3 = 0. Calculate h.
-1, 0, 1
Let m be 504/1632 - (-1)/(-17). Factor 0*k - 1/2*k**2 + 1/4 + 0*k**3 + m*k**4.
(k - 1)**2*(k + 1)**2/4
Let n(z) be the first derivative of -z**5/390 + z**4/52 + 6*z**2 + 4. Let q(a) be the second derivative of n(a). Factor q(f).
-2*f*(f - 3)/13
Suppose 5*g + 13 = 4*q, q + 6*g - 3*g + 1 = 0. Solve -30 + 13*t + 125*t**q - 2*t + 14*t = 0.
-3/5, 2/5
Suppose -2*k = -3*m - 10, 3*m + 4*k - 68 = -30. Factor -12/5 + 2/5*o**2 - m*o.
2*(o - 6)*(o + 1)/5
Let d(k) = -4270*k**3 - 2925*k**2 - 540*k - 15. Let w(i) = i**3 + 3*i**2 - i - 1. Let g(p) = d(p) - 5*w(p). Find r such that g(r) = 0.
-1/3, -2/95
Let m(d) be the second derivative of -d**5/30 - 5*d**4/6 - 25*d**3/3 + 15*d**2/2 - 25*d. Let p(z) be the first derivative of m(z). Factor p(u).
-2*(u + 5)**2
Let c(p) = 45*p**2 + 290*p + 190. Let b(x) = -15*x**2 - 97*x - 63. Let w(f) = f - 26. Let l be w(16). Let q(k) = l*b(k) - 3*c(k). Factor q(j).
5*(j + 6)*(3*j + 2)
Let o = -2815 - -2817. Factor 1/2 - 1/4*y - 1/2*y**o + 1/4*y**3.
(y - 2)*(y - 1)*(y + 1)/4
Factor 116/3*n - 112/3 - 4/3*n**2.
-4*(n - 28)*(n - 1)/3
Let s(w) be the first derivative of -w**4/20 - 4*w**3/5 - 24*w**2/5 - 64*w/5 - 4. Factor s(l).
-(l + 4)**3/5
Let x(b) be the first derivative of 3*b**4/8 - 7*b**3/2 + 21*b**2/2 - 12*b + 244. Solve x(n) = 0 for n.
1, 2, 4
Let t(a) be the first derivative of a**7/280 + 11*a**6/120 + 7*a**5/8 + 25*a**4/8 - 11*a**3/3 + 14. Let y(n) be the third derivative of t(n). Factor y(g).
3*(g + 1)*(g + 5)**2
Let a(o) = 4*o**3 - 13*o**2 + 11*o + 18. Let d(m) = -5*m**3 + 15*m**2 - 12*m - 20. Let t(q) = -6*a(q) - 5*d(q). Determine n, given that t(n) = 0.
-4, -1, 2
Determine n so that -1/4*n**2 + 1/2*n + 0 = 0.
0, 2
Factor 7*w**4 - 2*w**4 - 20*w + 40*w**2 - 16*w**3 + 0*w**3 - 9*w**3.
5*w*(w - 2)**2*(w - 1)
What is o in -36/5*o**2 + 6/5*o + 2/5 = 0?
-1/6, 1/3
Let s(c) be the first derivative of c**3/9 - 7*c**2/2 + 38*c/3 + 207. What is x in s(x) = 0?
2, 19
Factor -45*d**2 + 125*d - 8 - 9 + 7 - 70*d**2.
-5*(d - 1)*(23*d - 2)
Let k(p) be the first derivative of -p**4/4 + 20*p**3/3 + 17*p**2/2 - 36*p - 20. Let m(z) = -z**3 + z. Let v(s) = k(s) - 5*m(s). Factor v(n).
4*(n - 1)*(n + 3)**2
Let t = 378/5 + -362/5. Let t*a + 11/5*a**3 + 4/5 + 21/5*a**2 + 2/5*a**4 = 0. What is a?
-2, -1, -1/2
Let b = -4 - -8. Suppose -2*c + 4*c = 0, -2*u - c + b = 0. Factor -g**2 + 3*g**3 + 2*g**2 - 4*g**u + 4 - 2*g**3.
(g - 2)**2*(g + 1)
Let m(j) = -3*j + 31. Let t(i) = -2*i + 15. Let v(f) = 3*m(f) - 5*t(f). Let n be v(-13). Factor 4 - 3*k + 5*k - 12*k**2 - 5*k - n*k.
-4*(k + 1)*(3*k - 1)
Suppose 0*q - 6*q = -8*q. Let p(w) be the second derivative of 7/36*w**4 + 1/30*w**5 - 1/9*w**3 + 0*w**2 - w - 7/90*w**6 + q. Factor p(r).
-r*(r - 1)*(r + 1)*(7*r - 2)/3
Solve -4*c - 23*c - 18*c - 525*c**2 - 27 + 513*c**2 = 0 for c.
-3, -3/4
Suppose 25*i + 575 - 170 = 160*i. Factor 3 + 6*t**2 - 15/2*t - 3/2*t**i.
-3*(t -