et z = -28 + 30. Find s such that 4*s**2 + 2*s + 4*s**z - 6*s**2 = 0.
-1, 0
Let x be 24/(10*(-36)/(-24)). Let 88/5*l - x - 242/5*l**2 = 0. What is l?
2/11
Let m(x) = -7*x**3 - x**2. Let f be m(-1). Suppose -f*t + 3*t = -6. Factor 19*y - 3*y**2 - 6 - 4*y + t*y**2 - 5*y**2.
-3*(y - 2)*(2*y - 1)
Let p = -289 - -236. Let o = p - -55. Factor -4/7*x**o + 2/7*x**3 + 0 + 0*x.
2*x**2*(x - 2)/7
Let p(y) be the third derivative of -y**6/48 + 7*y**5/4 + 75*y**4/4 + 230*y**3/3 - 45*y**2 - 2. Find z, given that p(z) = 0.
-2, 46
Factor 43*c**4 - 11*c**2 - 8*c - 8*c + 12*c**3 + 3*c**2 + 2*c**5 + 18*c - 51*c**4.
2*c*(c - 1)**4
Let y(d) be the second derivative of -2*d**6/3 + 53*d**5/5 - 118*d**4/3 - 112*d**3/3 + 99*d. Suppose y(u) = 0. What is u?
-2/5, 0, 4, 7
Let k(x) be the first derivative of x**4/15 - 8*x**3/3 + 40*x**2 + 8*x + 32. Let p(o) be the first derivative of k(o). Let p(j) = 0. Calculate j.
10
Let u = 21209/20 - 4241/4. Let w = -24/5 + 5. Solve -2/5*m - u*m**2 + 2/5*m**3 + w = 0 for m.
-1, 1/2, 1
Suppose 2*v - 5 = -v - 2*z, -15 = -3*v + 3*z. Factor 5*x**v + 7*x**2 - 4*x**4 - 4*x**5 - 3*x**2 - x**3.
-4*x**2*(x - 1)*(x + 1)**2
Let g = -506/3 + 2542/15. Let 4/5 + 16/5*v**2 - g*v**4 + 4/5*v**3 - 2/5*v**5 + 14/5*v = 0. What is v?
-1, 2
Let v be (4/54)/((-34)/(-153)). What is i in -v*i**3 - 1/6 - 2/3*i - 5/6*i**2 = 0?
-1, -1/2
Let n = -34831/3 + 11613. Determine r so that -n + 1/6*r**5 - 11/6*r**4 - 73/6*r**2 + 43/6*r**3 + 28/3*r = 0.
1, 4
Let o(p) be the first derivative of p**6/720 - p**5/90 + p**4/48 + 2*p**2 - 17. Let a(l) be the second derivative of o(l). What is z in a(z) = 0?
0, 1, 3
Let j(k) be the first derivative of -22 + k**3 + 0*k - 3/2*k**2. Suppose j(z) = 0. What is z?
0, 1
Let w(g) = 483*g**2 - 970*g + 4. Let h(a) = a - 4. Let m(c) = 2*h(c) - w(c). Factor m(u).
-3*(u - 2)*(161*u - 2)
Let z = 4/75 + 1/75. Let o(y) be the first derivative of -1/12*y**4 + 1/9*y**3 - z*y**5 + 1/6*y**2 + 0*y - 4. Factor o(v).
-v*(v - 1)*(v + 1)**2/3
Let f be (-5954)/(-63) + 6/(-27). Let i = f + -94. Factor i*n**4 + 2/7 + 0*n - 4/7*n**2 + 0*n**3.
2*(n - 1)**2*(n + 1)**2/7
Suppose 9 + 31 = 20*m. Factor 13*z**2 - 3*z**3 + z**m - 6*z + 9*z**2 - 32*z**2.
-3*z*(z + 1)*(z + 2)
Factor 162*i - 972 - 9*i**2 + 1/6*i**3.
(i - 18)**3/6
Let -32 - 2/9*o**2 + 16/3*o = 0. Calculate o.
12
Suppose -576 + 176 = -5*k. Suppose 3*i = i + k. Solve -99*o**4 + o**2 + 5*o**5 - 25*o**3 - 6*o**2 + i*o - 20 + 104*o**4 = 0.
-2, 1
Let k(p) = 23*p**2 - 908*p + 902. Let h(n) = -4*n**2 + 151*n - 150. Let a(y) = 34*h(y) + 6*k(y). Factor a(i).
2*(i - 156)*(i - 1)
Let h(k) be the second derivative of -k**5/50 + 23*k**4/30 - 143*k**3/15 + 121*k**2/5 - 103*k. What is i in h(i) = 0?
1, 11
Suppose -3*p = -6*p - 33. Let o = p - -14. Factor -92*g**3 + 96*g**o + 6*g**2 - 4*g - 4 - 2*g**2.
4*(g - 1)*(g + 1)**2
Let o(l) be the second derivative of l**7/6720 - l**6/640 - 13*l**4/6 + 22*l. Let w(r) be the third derivative of o(r). Determine c so that w(c) = 0.
0, 3
Suppose -5*h + 15 = -2*h. Let g(c) be the second derivative of 0 - 5*c - 1/65*c**h + 1/78*c**4 + 0*c**3 + 1/195*c**6 + 0*c**2. Factor g(s).
2*s**2*(s - 1)**2/13
Suppose 3 = -8*d + 11*d, 0 = i - 4*d. Let g(m) be the first derivative of 2/3*m**3 - 2/5*m**5 + 0*m + 0*m**i + 1/6*m**6 + 3 - 1/2*m**2. Factor g(u).
u*(u - 1)**3*(u + 1)
Let m(h) be the first derivative of -h**2 + 12*h - 5. Let j be m(5). Suppose 0 - 1 - 51*u**2 - u**4 + 53*u**j = 0. What is u?
-1, 1
Suppose 801 = 7*w - 452. Factor -80 - 19*v - 120*v**2 - 6*v**4 + v**4 + w*v + 40*v**3.
-5*(v - 2)**4
Let b(t) be the second derivative of 0*t**2 - 7*t - 1/20*t**6 + 1/10*t**5 + 1/6*t**4 + 0*t**3 + 0. Factor b(y).
-y**2*(y - 2)*(3*y + 2)/2
Let x be (7 + -3 + 2)*362/4344. Factor 9/4*u**2 - 7/4*u + x + 1/4*u**4 - 5/4*u**3.
(u - 2)*(u - 1)**3/4
Let s = -715 + 720. Let n(c) be the first derivative of 8/5*c**s - 32/3*c**3 - 14*c**2 - 2*c**4 - 11 + 2/3*c**6 - 8*c. Suppose n(f) = 0. What is f?
-1, 2
Suppose -3*s = -0*s. Let k be ((-4)/(-5))/(2/5). Solve -26*o**4 + s*o**2 - 2*o**3 + 4*o**k + 24*o**4 = 0.
-2, 0, 1
Suppose 3*k - 5 - 10 = 0. Suppose 5*g - 3*c - 13 = -4, 0 = -3*g + 2*c + k. Let -14/5*o**2 - 4/5*o - 8/5*o**g + 2/5 = 0. Calculate o.
-1, 1/4
Let x(v) = 2*v**3 - 2*v + 2. Let n(w) = 27*w**3 - 99*w**2 + 36*w + 48. Let o(z) = -n(z) + 6*x(z). What is c in o(c) = 0?
-2/5, 1, 6
Suppose 24 = 8*a - 0. Let o(y) be the third derivative of 0*y**a - 11/60*y**5 + 1/12*y**4 + 3/40*y**6 + 0 - 5*y**2 + 0*y. Let o(c) = 0. What is c?
0, 2/9, 1
Let r(m) be the first derivative of 2*m**3/3 + 4*m**2 - 64*m - 323. Factor r(k).
2*(k - 4)*(k + 8)
Let -30*b**3 - 1175*b**2 - 970*b**3 + 356 - 460*b - 416 = 0. Calculate b.
-2/5, -3/8
Suppose -4*w + 2*k - 4 = -46, -5*k - 41 = -2*w. Suppose 4*i = w, -z + 12 = 4*z - 4*i. Factor 50/3*a**z + 8*a - 20*a**3 - 22/3*a**2 + 8/3.
2*(a - 1)**2*(5*a + 2)**2/3
Let g = 2542 - 2542. Factor g - 4/7*s + 6/7*s**2 - 2/7*s**3.
-2*s*(s - 2)*(s - 1)/7
Let t(s) be the first derivative of -2*s**3/15 - 3*s**2/5 + 108*s/5 - 295. Factor t(h).
-2*(h - 6)*(h + 9)/5
Let j = -52 - -52. Let p(r) be the third derivative of 0*r - 2*r**2 + j + 1/6*r**4 - 1/30*r**5 + r**3. Find a, given that p(a) = 0.
-1, 3
Factor -5/2*m - 2 - 1/2*m**2.
-(m + 1)*(m + 4)/2
Suppose 0 = -7*z - 7*z + 70. Let a(g) be the second derivative of 7*g**5/20 - 5*g**3/6 + g. Let l(m) = 8*m**3 - 6*m. Let i(b) = z*l(b) - 6*a(b). Factor i(y).
-2*y**3
Let q(s) be the second derivative of -23*s**6/135 + 137*s**5/90 - 5*s**4 + 172*s**3/27 + 8*s**2/9 - 16*s + 3. What is v in q(v) = 0?
-1/23, 2
Let i(d) be the third derivative of d**5/30 - d**4/12 - 2*d**3/3 - 3*d**2. Let r(k) = -k**2 - k. Let f(z) = -5*i(z) - 5*r(z). Let f(l) = 0. Calculate l.
-1, 4
Suppose -3*y - 30 = 3. Let u(c) = -8*c**2 - 21*c. Let k(m) = 3*m**2 + 7*m. Let z(b) = y*k(b) - 4*u(b). Let j(f) = -f. Let x(o) = 6*j(o) + z(o). Factor x(s).
-s*(s - 1)
Let m(y) = y**3 - y**2 - y + 1. Let o be m(2). Suppose -2*s - 3 = -4*s - 3*i, o*s = 3*i - 3. Determine d so that s + 4/3*d**4 + 4/3*d**3 - 4/3*d - 4/3*d**2 = 0.
-1, 0, 1
Let h = -577 - -8656/15. Let w(r) be the second derivative of 4/3*r**3 - h*r**6 - 2/5*r**5 - 1/2*r**4 - 3*r + 0 + 4*r**2. Solve w(n) = 0.
-2, -1, 1
Let x = -28 - -30. Let m be -6*(-9)/(-27)*-1. Factor m*b**x + 0 - 4/3*b.
2*b*(3*b - 2)/3
Let 28 - 29*a - 2*a**2 - 234 - 36 - 15*a = 0. What is a?
-11
Factor -4/3 + 14/9*y - 2/9*y**2.
-2*(y - 6)*(y - 1)/9
Let o = 1126/147 + -160/21. Let x = 16/49 - o. Determine y so that 0*y + 0 - 6/7*y**4 + 2/7*y**5 + 6/7*y**3 - x*y**2 = 0.
0, 1
Let t be (8/(-28))/((-12)/14)*12. Suppose 16 = -4*l - 4*r, -3*l - t*r - 15 - 1 = 0. Solve -6/7*y**2 + 3/7*y**3 + l + 6/7*y**4 - 3/7*y = 0.
-1, -1/2, 0, 1
Suppose 5*f - 4*c + 20 = 45, -3*c + 25 = 5*f. Solve 1/6*r**3 + 0 + 0*r**2 + 1/6*r**f + 0*r - 1/3*r**4 = 0.
0, 1
Let y(m) = 6*m**3 - 8*m**2 - 4*m + 4. Let b(c) = -c**4 + c**3 + 2*c - 2. Let r(i) = -2*b(i) - y(i). Let r(v) = 0. What is v?
0, 2
Let q(h) be the second derivative of 2*h**6/105 - h**5/35 - 2*h**4/21 - 3*h - 21. What is x in q(x) = 0?
-1, 0, 2
Let t(w) be the second derivative of 15*w - 1/6*w**4 - 1/20*w**5 + 0 + 1/84*w**7 + 1/12*w**3 + 1/30*w**6 + 1/2*w**2. Let t(n) = 0. What is n?
-2, -1, 1
Factor 0 - 3 + 10818*m + 3*m**2 - 42*m**3 - 10776*m.
-3*(m - 1)*(m + 1)*(14*m - 1)
Let k be 24/30*45/18. Let -32/5*u**k - 16/5*u - 12/5*u**3 + 0 = 0. What is u?
-2, -2/3, 0
Let b = -1883/800 - -69/25. Let m(i) be the second derivative of 9/80*i**5 - 3/4*i**2 + 0 - 10*i - 1/80*i**6 - b*i**4 + 3/4*i**3. Factor m(j).
-3*(j - 2)**2*(j - 1)**2/8
Let v = 3205/5533 + -17/503. Let -2/11 + 8/11*a - v*a**2 = 0. Calculate a.
1/3, 1
Suppose -3 = -5*b + p, 0 = 195*b - 192*b - 4*p - 12. Suppose 0 - 3/4*j**2 + b*j = 0. What is j?
0
Find b such that -2*b - 2/3*b**3 - 6 + 10/3*b**2 = 0.
-1, 3
Let h(y) = -y + 9. Let s be h(3). Let t(a) be the first derivative of 1/5*a**2 + s - 4/15*a - 2/45*a**3. Factor t(z).
-2*(z - 2)*(z - 1)/15
Suppose -3*t - j - 2*j + 12 = 0, 4*t - 2*j - 16 = 0. Suppose 0 = -t*r + 52 - 8. Let -r*f - 12 + 4*f**3 + 4 - f = 0. Calculate f.
-1, 2
Let v(n) = -n**2 + 7*n - 6. Let r be v(6). Let f be (-714)/35 - (194 - 215). Factor -12/5*w**4 - 3*w**3 + r*w + 0 - f*w**2.
-3*w**2*(w + 1)*(4*w + 1)/5
Let r(o) be the third derivative of -o**6/120 + o