 y*g**k + 4*g**2 - 5*g**2 + 4*g = 0. Calculate g.
-4, 0
Factor -25/2*k + 45/4 + 5/4*k**2.
5*(k - 9)*(k - 1)/4
Let f(h) = 29*h**2 - 327*h + 5448. Let i(z) = 95*z**2 - 980*z + 16345. Let q(g) = -10*f(g) + 3*i(g). Solve q(j) = 0 for j.
33
Let w(b) be the first derivative of -3/4*b**3 + 3/4*b**4 - 3/40*b**5 - 4 - 15/2*b**2 - 75/8*b. Determine r, given that w(r) = 0.
-1, 5
Factor 14/11*d**2 - 36/11 + 10/11*d.
2*(d + 2)*(7*d - 9)/11
Suppose 5*j - 9 = 6. Suppose 4*k - 9 = j. Factor k*n**3 + 0 + 0 - 4 - 24*n**3 + 43*n**2.
-(n - 2)*(3*n - 1)*(7*n + 2)
Let w(j) be the third derivative of -j**8/84 + j**7/210 + j**6/15 - j**5/30 - j**4/6 + j**3/6 - 2*j**2 + 2*j. Find z such that w(z) = 0.
-1, 1/4, 1
Let x(b) be the second derivative of 1/2*b**3 + 0 - 1/4*b**4 - 12*b + 1/10*b**6 - 3/20*b**5 + 0*b**2. Factor x(i).
3*i*(i - 1)**2*(i + 1)
Let f be -1 + 76/18 + (-8)/36. What is n in 2*n**3 - 124 - 3*n**f + 121 + n + 3*n**2 = 0?
-1, 1, 3
Let i(c) be the first derivative of -121*c**3/12 + 11*c**2 - 4*c + 379. Factor i(l).
-(11*l - 4)**2/4
Factor 25*l**3 + 576*l - 862*l**2 - 914*l**2 + l**4 + 120*l**3 - 4*l**4.
-l*(l - 24)**2*(3*l - 1)
Factor 30*b - 3*b**3 - 80 - 19*b**2 + 0 + 3*b - b**2 + 51*b + b**4.
(b - 4)*(b - 2)**2*(b + 5)
Let s = 111 + -79. Solve -2*p**5 - 5*p**3 - 10*p + 3*p**3 + 16*p**4 - 34*p**3 + s*p**2 = 0.
0, 1, 5
Let a(w) = -2*w**2 - 32*w - 3. Let x(i) = -3*i**2 - 33*i - 2. Suppose s - 26 = 3*p - 9, 0 = 5*s + 2*p. Let k(h) = s*a(h) - 3*x(h). Let k(n) = 0. What is n?
-7, 0
Let q be 2 + (1 - (-292)/(-4)). Let w be ((-90)/(-28))/(-5*12/q). Let 3/2 - w*b - 3/4*b**3 + 3*b**2 = 0. Calculate b.
1, 2
Let y be ((-318)/36 + 9)*2/2. Let j(b) be the third derivative of 3*b**2 + 0 - y*b**3 + 1/60*b**5 + 0*b + 0*b**4. Suppose j(q) = 0. Calculate q.
-1, 1
Let o(m) be the third derivative of -2*m**5/15 - 5*m**4/3 - 43*m**3/6 - 5*m**2. Let r(g) = -4*g**2 - 20*g - 21. Let k(x) = 3*o(x) - 5*r(x). Factor k(u).
-4*(u + 2)*(u + 3)
Let i be (207/15 - 5) + 72/(-9). Determine l, given that 8/5*l - i - 4/5*l**2 = 0.
1
Let n(x) = 67*x**5 + 341*x**4 + 533*x**3 + 106*x**2. Let g(i) = 34*i**5 + 170*i**4 + 266*i**3 + 52*i**2. Let a(z) = 11*g(z) - 6*n(z). Let a(v) = 0. Calculate v.
-4, -2, -2/7, 0
Suppose 7 = q + 1. Let u be ((-4)/(-10))/((-136)/(-20) - q). Let u*x**2 - 1/2*x + 0 - 1/2*x**4 + 1/2*x**3 = 0. What is x?
-1, 0, 1
Factor 8 - 2434*w**2 - 12*w + 71*w**3 + 2404*w**2 - 88*w**3 - 3*w**4.
-(w + 2)**3*(3*w - 1)
Let c(m) be the second derivative of 1/105*m**5 + 1/1260*m**6 - 1/6*m**3 + 4*m + 0 + 1/28*m**4 + 0*m**2. Let u(g) be the second derivative of c(g). Factor u(w).
2*(w + 1)*(w + 3)/7
Suppose -25*u + 34104 = 33554. Find k such that -8/3*k**5 + 18 - 160/3*k**3 + 72*k - u*k**4 - 12*k**2 = 0.
-3, -1/4, 1
Let d(q) be the third derivative of -q**8/336 + q**7/35 - q**6/15 - q**5/10 + 3*q**4/8 + q**2 + 11*q. Find x such that d(x) = 0.
-1, 0, 1, 3
Factor -4/9*f**2 + 1/9*f - 11/9*f**3 - 2/3*f**4 + 0.
-f*(f + 1)**2*(6*f - 1)/9
Suppose 6/5*s**2 - 81/5 + 159/5*s = 0. What is s?
-27, 1/2
Suppose -66*w = -75*w. Let v(h) be the third derivative of -1/210*h**5 + 0*h**3 + 1/105*h**6 + 0 - 2*h**2 + 0*h + w*h**4. Determine z so that v(z) = 0.
0, 1/4
Let h(b) be the third derivative of 3*b**6/8 + b**5 + 5*b**4/6 + 2*b**2 + 32. Factor h(g).
5*g*(3*g + 2)**2
Factor 1606*x**2 - 2*x - 7*x**3 + 0*x**4 - x**4 - 1605*x**2 + 9*x.
-x*(x - 1)*(x + 1)*(x + 7)
Let v(f) = f**2 - 118. Let r be v(-11). Let c(o) be the second derivative of 0*o**5 - 1/42*o**7 + 0*o**4 + 0*o**r + 0 + 0*o**2 + 1/30*o**6 - o. Factor c(y).
-y**4*(y - 1)
Let l(h) be the second derivative of 7/8*h**4 - 12*h + 7/2*h**3 + 0 + 15/4*h**2 - 3/20*h**5. Factor l(y).
-3*(y - 5)*(y + 1)*(2*y + 1)/2
Let h(y) = -14*y**2 - 14*y + 20. Let i be h(-9). Let z = 6927/7 + i. Determine t so that -z*t + 2/7 + 9/7*t**2 = 0.
2/9, 1
Let p(q) be the second derivative of -q**3/6 - 3*q. Let r be p(-5). Find b such that 5*b**5 + 2*b - r*b**5 - 6*b**3 + 2*b**4 - 2*b**2 + 4*b**5 = 0.
-1, 0, 1/2, 1
Suppose -2*k - 3*k = -10. Let p(t) = -t + 4. Let v be p(-4). What is r in -2*r**5 + 10*r**3 + v*r**4 + 6*r - k*r**2 - 14*r**3 + 0*r**5 - 6*r**2 = 0?
-1, 0, 1, 3
Let t = 5250 + -5248. What is q in 2/13*q**t + 0 + 2/13*q = 0?
-1, 0
Let y(x) be the first derivative of 11 + 0*x + 9/5*x**5 + 0*x**2 - 3*x**4 + x**3. Factor y(k).
3*k**2*(k - 1)*(3*k - 1)
Let w(m) be the third derivative of -9*m**6/20 + m**5/2 + 8*m**4/9 + 4*m**3/9 - 118*m**2. Solve w(r) = 0 for r.
-2/9, 1
Let d = 12676498/939 - 13500. Let n = 3770/6573 + d. Suppose n*o + 2/7 + 2/7*o**2 = 0. What is o?
-1
Factor -12/5*g**3 - 2/5*g**4 - 16/5*g - 24/5*g**2 + 0.
-2*g*(g + 2)**3/5
Let p(b) be the third derivative of 24*b**2 + 0 - 1/224*b**8 + 0*b**3 - 3/40*b**6 - 1/35*b**7 - 1/16*b**4 + 0*b - 1/10*b**5. Factor p(r).
-3*r*(r + 1)**4/2
Let t be 5 + 48/(-4) + 1*(-260)/(-36). Determine n so that t*n**3 - 2/9*n**2 + 0 + 0*n = 0.
0, 1
Let q(d) be the first derivative of d**4/2 - 364*d**3/3 + 8281*d**2 + 178. Determine b so that q(b) = 0.
0, 91
Let h(i) = -15*i**2 - 9*i + 17. Let v be h(3). Let p be (-2 - 2)*348/v. Let 24/5*l - 3/5*l**2 - p = 0. Calculate l.
4
Suppose -5*f = r - 4, -5*f + 9*r + 10 = 4*r. Let u(g) be the first derivative of -g**2 + 5/3*g**3 - g**5 + 1/2*g**6 + 0*g - 1/4*g**4 - f. Factor u(b).
b*(b - 1)**2*(b + 1)*(3*b - 2)
Suppose -4*u**3 + 16*u**2 + 90*u**4 + u**5 - 49*u**4 - 2 + 32*u + 18 - 2*u**5 - 46*u**4 = 0. What is u?
-2, -1, 2
Factor 25/2*q**2 + 0 + 0*q + 1/2*q**4 - 5*q**3.
q**2*(q - 5)**2/2
Let u = 122 - 120. Suppose 4/7*x**3 - 12/7*x**u + 4/7*x**4 + 8/7 - 4/7*x = 0. Calculate x.
-2, -1, 1
Let i(a) be the first derivative of a - 5/12*a**3 + 31 + 3/8*a**2 + 1/20*a**5 - 3/16*a**4. Factor i(r).
(r - 4)*(r - 1)*(r + 1)**2/4
Factor 242*c**4 - 16*c - 455*c**3 - 188*c**3 + 184*c**2 + 71*c**3.
2*c*(c - 2)*(11*c - 2)**2
Let o be (-1)/1 + 55/66*6. Factor 0 + 0*l**2 - 6/7*l**5 - 6/7*l + 12/7*l**3 + 0*l**o.
-6*l*(l - 1)**2*(l + 1)**2/7
Let w(k) = 6*k - 3. Let h(d) = 5 - d**2 + 69*d - 1 - 76*d. Let y(s) = -3*h(s) - 4*w(s). Suppose y(g) = 0. What is g?
0, 1
Let q(t) be the first derivative of -4/15*t**5 + 4/9*t**3 + 1/3*t**4 - 11 - 2/3*t**2 + 0*t. Find m such that q(m) = 0.
-1, 0, 1
Let r(m) be the first derivative of 55 - 2/45*m**3 + 4/45*m**6 + 0*m**2 - 6/25*m**5 + 1/5*m**4 + 0*m. Factor r(k).
2*k**2*(k - 1)**2*(4*k - 1)/15
Let i(t) be the second derivative of 2*t**7/21 - 28*t**6/5 + 584*t**5/5 - 2576*t**4/3 - 1568*t**3 + 21952*t**2 - t + 208. Factor i(q).
4*(q - 14)**3*(q - 2)*(q + 2)
Let l(p) = -14*p**5 + p**4 + p**3 - 9*p**2 + 5*p - 5. Let j(c) = 3*c**5 - c**3 + c**2 - c + 1. Let k(x) = 20*j(x) + 4*l(x). Solve k(d) = 0.
-2, -1, 0, 2
Let r = -192 - -1153/6. Let m(f) be the first derivative of 3 - 1/12*f**4 + r*f + 1/6*f**2 + 0*f**3 - 1/30*f**5. Suppose m(v) = 0. Calculate v.
-1, 1
Let w(z) = z**4 + z**3 - 2. Let o(p) = -4*p**5 + 14*p**4 + 42*p**3 - 4. Let r(k) = o(k) - 2*w(k). Factor r(q).
-4*q**3*(q - 5)*(q + 2)
Let q(l) be the third derivative of -l**9/22680 + l**8/10080 + 5*l**4/24 - 13*l**2. Let j(o) be the second derivative of q(o). Solve j(p) = 0.
0, 1
Let y(n) be the third derivative of n**5/12 + 5*n**4/24 - 5*n**3 + 22*n**2. What is r in y(r) = 0?
-3, 2
Let w = -75 + 33. Let p = w + 42. Factor 0 + p*s**2 - 1/6*s + 1/2*s**3 - 1/3*s**4.
-s*(s - 1)**2*(2*s + 1)/6
Let p(n) = -n**2 - 7*n + 5. Let x(k) = k**2 + 6*k - 5. Let f(u) = -4*p(u) - 5*x(u). Let g(o) = -2*o**2 - 3*o + 9. Let q(s) = 5*f(s) - 3*g(s). Factor q(j).
(j - 2)*(j + 1)
Let n(y) be the third derivative of y**7/315 + y**6/15 + 23*y**5/45 + 5*y**4/3 + 25*y**3/9 - 45*y**2. Factor n(k).
2*(k + 1)**2*(k + 5)**2/3
Let k(s) be the second derivative of s**8/224 - s**7/140 - s**6/80 + s**5/40 + s**2 + 2*s. Let j(x) be the first derivative of k(x). Solve j(l) = 0.
-1, 0, 1
Let s(j) be the third derivative of -2*j**5/105 - j**4/6 - 2*j**3/7 - 13*j**2 - 2*j. Suppose s(n) = 0. What is n?
-3, -1/2
Let c(t) be the third derivative of t**6/360 - 14*t**5/45 - t**4/72 + 28*t**3/9 - 2*t**2 - 90*t. Solve c(f) = 0 for f.
-1, 1, 56
Let k(x) be the second derivative of -5/66*x**4 - x - 45 - 1/33*x**3 + 0*x**2 - 2/55*x**5. Factor k(a).
-2*a*(a + 1)*(4*a + 1)/11
Let g be (-12)/(-54) - (-40)/(-180). Solve 2/7*k**2 - 6/7*k + g = 0.
0, 3
Let c(v) be the third 