/3*f + 8/3*f**4 + 4*f**3 = 0. What is f?
-3, -1/2, 1
Solve -14/17*q**2 - 2/17*q**3 + 2/17*q**5 + 8/17 + 6/17*q**4 + 0*q = 0.
-2, -1, 1
Suppose a = -3*f + 1, -2*f = -a - 9 - 5. Let u = 15 + a. Let l**3 - u*l**3 - 3 + 3*l + 3*l**3 + 3*l**2 = 0. What is l?
-1, 1
Factor -5*p**2 + 15 - 15 + 2*p - 3*p**2 + 0*p.
-2*p*(4*p - 1)
Let c be (50 + -52)*(-2)/1320*1. Let s(u) be the third derivative of -5*u**2 + 1/1155*u**7 - 1/33*u**3 + 0*u**5 + 0*u - c*u**6 + 0 + 1/66*u**4. Factor s(d).
2*(d - 1)**3*(d + 1)/11
Let r = -232/33 - -92/11. Factor -3*j**2 - 16/3*j + r.
-(j + 2)*(9*j - 2)/3
Let y(l) = 13*l**2 - 1260*l + 93627. Let u(k) = -3*k**2 + 314*k - 23407. Let f(h) = -9*u(h) - 2*y(h). Factor f(j).
(j - 153)**2
Suppose 1/4*n**3 + 3*n**2 - 45/4*n + 0 = 0. What is n?
-15, 0, 3
Let b(s) be the second derivative of -s**4/42 - 2*s**3/7 + s**2 + 145*s. Factor b(i).
-2*(i - 1)*(i + 7)/7
Let k be 1 + 109/(-5) + (-39 - -43). Let r = k + 934/55. Factor -4/11*q - r*q**2 + 0.
-2*q*(q + 2)/11
Factor 0 + 1800/7*b + 2/7*b**3 - 120/7*b**2.
2*b*(b - 30)**2/7
Let g(p) = -4*p - 37. Let v be g(-9). Let w be 4/(5 + v) - -2. Suppose 0 - 3/2*d**w + 0*d**4 + 1/2*d**5 + 0*d + d**2 = 0. Calculate d.
-2, 0, 1
Let y(v) = v**3 - 133*v**2 + 262*v + 2. Let j be y(131). Let 4/9*w**j - 64/9*w + 256/9 = 0. What is w?
8
Factor 396/13*v - 2/13*v**2 - 19602/13.
-2*(v - 99)**2/13
Let x(v) be the second derivative of -v**7/126 - v**6/18 - v**5/10 + v**4/9 + 4*v**3/9 + 351*v. Solve x(w) = 0.
-2, 0, 1
Let q(p) = 72*p**5 + 552*p**4 + 1004*p**3 + 164*p**2 - 304*p + 64. Let g(k) = k**5 + k**4 + k**3 + 2. Let j(h) = -8*g(h) + q(h). Suppose j(d) = 0. Calculate d.
-6, -2, -1, 1/4
Factor 0 + 128/5*r**3 + 0*r + 124/5*r**2 + 4/5*r**4.
4*r**2*(r + 1)*(r + 31)/5
Let o(y) = -4*y**3 - 13*y**2 - 9*y + 13. Let q(r) = r**2 - 17 - 2*r**3 - 4*r + 23 - 7*r**2. Let k(v) = -6*o(v) + 13*q(v). Factor k(m).
-2*m*(m - 1)*(m + 1)
Let o(d) be the third derivative of d**6/960 + d**5/160 - d**3/12 - d**2 - 101*d. Factor o(u).
(u - 1)*(u + 2)**2/8
Find m, given that -134/19*m - 72/19 + 2/19*m**4 - 50/19*m**2 + 14/19*m**3 = 0.
-9, -1, 4
Suppose 11*k + 30 = 21*k. Factor -12*h + 3*h**4 - h**3 - 6*h**2 + 0*h**k + 9*h**3 - h**3 + 8.
(h - 1)*(h + 2)**2*(3*h - 2)
Let a(o) be the third derivative of -o**5/20 + 5*o**4/2 - 19*o**3/2 + 107*o**2. Suppose a(z) = 0. What is z?
1, 19
Let h(y) be the first derivative of y**6/24 + y**5/10 - 7*y**4/16 + y**3/3 - 42. Factor h(b).
b**2*(b - 1)**2*(b + 4)/4
Let r = -128 - -130. Let i(y) be the first derivative of -r + 0*y + 15/4*y**4 + 0*y**2 - 5/2*y**6 + 2*y**3 - 6/5*y**5. Find o such that i(o) = 0.
-1, -2/5, 0, 1
Let h be (-2 - -2)*(-1)/2. Suppose 60 = 4*c + p - 8, h = -5*c - 3*p + 78. Determine t, given that -4 - 4*t**2 + c*t - 7*t - 3*t = 0.
1
Let k(h) be the third derivative of 0 + 1/72*h**4 - 9*h**2 + 0*h**3 + 1/120*h**6 + 0*h + 1/630*h**7 + 1/60*h**5. Let k(v) = 0. Calculate v.
-1, 0
Let 18/5*n - 1/5*n**2 + 8 = 0. What is n?
-2, 20
Let f be 2 + (18/(-15))/(15/(-50)). Suppose f*i + i = 2*i. Factor 0*u + i*u**2 + 0*u**3 - 4/13*u**4 + 6/13*u**5 + 0.
2*u**4*(3*u - 2)/13
Let a(h) be the first derivative of 2*h**3/3 + 13*h**2 + 3*h + 32. Let i(p) = -3*p**2 - 24*p - 2. Let d(k) = -2*a(k) - 3*i(k). Factor d(v).
5*v*(v + 4)
Let u(y) be the second derivative of -y**5/60 + y**4/6 - 11*y**3/18 + y**2 + 10*y. Factor u(w).
-(w - 3)*(w - 2)*(w - 1)/3
Let g(d) = -25*d**4 + 59*d**3 - 39*d**2 - 11*d + 16. Let q = 14 - 8. Let u(p) = -p**3 + p**2 - p + 1. Let c(s) = q*u(s) - g(s). Factor c(m).
5*(m - 1)**3*(5*m + 2)
Let h(r) = 0 - 3*r**2 - 6*r + 6*r**2 - 4 + 3*r**2 - r**3. Let s be h(4). Factor 2/3*l**3 + 0*l**s - 1/6*l**5 - 1/3*l**2 + 1/3 - 1/2*l.
-(l - 1)**3*(l + 1)*(l + 2)/6
Suppose -6*n - 124 = 416. Let b = n + 185/2. Factor 3/2*m - b*m**2 + 1.
-(m - 1)*(5*m + 2)/2
Solve 15*z**5 + 31*z + 45*z**3 - 109*z + 18*z - 105*z**2 + 36 + 69*z**4 = 0.
-3, -2, -1, 2/5, 1
Let n = -8 - 3. Let m(y) = 14*y**3 + 9*y**2 + 9*y - 8. Let h(u) = -5*u**3 - 3*u**2 - 3*u + 3. Let k(p) = n*h(p) - 4*m(p). Factor k(o).
-(o + 1)**3
Let o = 10 + -8. Factor 2*s - 3*s**2 + 12*s**3 - 7*s**o + 2*s - 2*s**2 - 4*s**4.
-4*s*(s - 1)**3
Let a(c) be the first derivative of -10/3*c**2 + 13 + 25/9*c**3 - 5/3*c. Factor a(o).
5*(o - 1)*(5*o + 1)/3
Let s = 212 + -194. Let i be (2/9)/((-12)/s + 1). Factor -i*q**2 + 8/9 + 2/9*q**3 + 0*q.
2*(q - 2)**2*(q + 1)/9
Let c(q) be the third derivative of q**8/20160 - q**7/1512 + q**6/540 - q**4/2 - 56*q**2. Let i(k) be the second derivative of c(k). Find n such that i(n) = 0.
0, 1, 4
Let a = -9 + 5. Let n be a/(-10)*1*5. Factor 0*j**4 + 0*j + 2/11*j**5 + 0 + 0*j**n - 2/11*j**3.
2*j**3*(j - 1)*(j + 1)/11
Let b = -2271/2 + 4545/4. Determine h, given that -3/4*h - 3/8*h**4 + 3/8 + 0*h**2 + b*h**3 = 0.
-1, 1
Let i(o) be the second derivative of o**5/140 + o**4/7 - 9*o**3/14 + o**2 - 377*o. Factor i(f).
(f - 1)**2*(f + 14)/7
Let p = 7033 + -56255/8. Find y such that -3/8*y**2 + p - 3/4*y = 0.
-3, 1
Let g(s) be the first derivative of s**6/6 + 59*s**5/15 - 23*s**4/12 - 59*s**3/9 + 10*s**2/3 + 112. Find c such that g(c) = 0.
-20, -1, 0, 1/3, 1
Let b(d) be the third derivative of -d**6/180 + 7*d**5/90 - 4*d**4/9 + 4*d**3/3 + d**2 + 6. Factor b(y).
-2*(y - 3)*(y - 2)**2/3
Let c = -93 + 241. Suppose 4*l + 140 = c. Determine d, given that 2/3*d**l + 16/3*d + 32/3 = 0.
-4
Let k(z) be the third derivative of z**5/15 - 47*z**4/6 + 92*z**3/3 - 5*z**2 + 4. Suppose k(o) = 0. Calculate o.
1, 46
Let p(f) = -f**3 - f**2. Let s(a) = 2*a**4 - 19*a**3 + 79*a**2 - 104*a + 48. Let k(h) = 3*p(h) + s(h). Factor k(t).
2*(t - 6)*(t - 2)**2*(t - 1)
Find r such that 13/4*r**2 + 0*r - 1/4*r**3 + 0 = 0.
0, 13
Let c(k) be the first derivative of -k**6/3 + 12*k**4 + 128*k**3/3 + 48*k**2 + 434. Factor c(m).
-2*m*(m - 6)*(m + 2)**3
Let j(n) = n**4 - 2*n**3 + n**2 - n - 1. Let a(g) = 6*g**4 + 22*g**3 + 10*g**2 - 46*g - 8. Let w(i) = a(i) - 8*j(i). Factor w(c).
-2*c*(c - 19)*(c - 1)*(c + 1)
Let a be 14/24 + 192/(-2304). Factor -1/2 + 0*x + a*x**2.
(x - 1)*(x + 1)/2
Let c(v) = -v**3 - 11*v**2 + 2*v + 10. Let y be c(-11). Let z be ((-28)/32 + 2)*y/(-9). Find i, given that -2*i - z - 1/2*i**2 = 0.
-3, -1
Let p be (7 - 9) + 5*1. Let -5*f**2 - 4*f**4 + 9*f**3 - 5*f**p + 5*f**2 = 0. What is f?
0, 1
Let h(g) be the first derivative of -2*g**5/35 - 23*g**4/7 - 1058*g**3/21 - 496. Factor h(t).
-2*t**2*(t + 23)**2/7
Let m(y) be the third derivative of y**6/150 + 14*y**5/75 - y**4/2 - 2*y**2 - 28. Find h such that m(h) = 0.
-15, 0, 1
Let k(j) = 6*j**2 + j + 5. Suppose 4*t - d = 6, -4*d + 11 = 3*t - 3. Let f(h) = 260*h - t*h**2 + 3*h**2 - 260*h + 1. Let s(p) = 5*f(p) - k(p). Factor s(b).
-b*(b + 1)
Let a(b) = 5*b**4 + 70*b**3 + 341*b**2 + 700*b + 504. Let r(i) = 5*i**4 + 70*i**3 + 340*i**2 + 700*i + 505. Let u(t) = 5*a(t) - 4*r(t). Solve u(z) = 0 for z.
-5, -2
Let q(z) be the first derivative of 7*z**6/60 + z**5/6 - z**4/6 + 5*z**2/2 + 12. Let n(o) be the second derivative of q(o). Let n(a) = 0. What is a?
-1, 0, 2/7
Suppose 3*w = -y + 11, 4*w + 9 = -3*y + 27. Let c = 4 + 1. Suppose 11 - 33*s**y + c + 13*s**2 + 4*s**4 = 0. What is s?
-2, -1, 1, 2
Let w = -31 - -33. Factor -7*s**2 + s - 4*s**4 + 2 - 2*s**2 + 13*s**3 - w*s**3 - 1.
-(s - 1)**3*(4*s + 1)
Let q be 3/(-135)*-8 - 12/(-54). Solve 0 + q*t**5 - 4/5*t**4 + 4/5*t**2 + 0*t**3 - 2/5*t = 0 for t.
-1, 0, 1
Let j be (4/(-10))/(11/(-55)). Suppose -4*w + 23 = -2*o - 3*o, -3*w - j*o = 0. Solve 0*i**w - 1/2*i + 0 + 1/2*i**3 = 0.
-1, 0, 1
Suppose 2*b = -o - 2*b - 2, -4*b - 10 = -3*o. Factor 9*c**4 - 28 + 2*c**5 + 6*c**3 + 2*c**o - 3*c**4 + 28.
2*c**2*(c + 1)**3
Let i(g) be the third derivative of 49*g**8/288 + 77*g**7/36 + 35*g**6/6 + 59*g**5/9 + 35*g**4/9 + 4*g**3/3 + 3*g**2 + 4*g. Solve i(z) = 0 for z.
-6, -1, -2/7
Factor 1/3*p**2 + 0 - 5*p.
p*(p - 15)/3
Determine q so that 0 + 0*q**3 + 2*q**2 - 1/2*q**4 + 0*q = 0.
-2, 0, 2
Let o = 1 - -3. Let h be o/(-30) + (-6 - -5)/(-3). Factor 0 + 1/5*c**2 - 1/5*c**4 + h*c - 1/5*c**3.
-c*(c - 1)*(c + 1)**2/5
Let m(d) be the third derivative of -d**5/15 + d**4/2 - 127*d**2. Solve m(i) = 0 for i.
0, 3
Let t(n) = 25*n**2 + 19*n + 33. Let d be t(-2). Suppose -97*f = -d*f - 8. Determine q, given that -4/5*q**2 + 8/5*q**3 + 0 - 4/5*q**f + 0*q = 0.
0, 1
Let h(g) be the second de