 1990 = 24*a. Let x = -77 + a. Suppose 0 - 3/2*k**x + 3/2*k = 0. What is k?
0, 1
Let t be (-60)/(-50)*(-10)/(-2). Let m be (0/t)/(1/(-1)). Determine x so that x**3 + m*x**5 + 0*x**5 + 7*x**4 - 6*x**4 - x**2 - x**5 = 0.
-1, 0, 1
Let w(p) be the third derivative of 0 - 11/24*p**4 - 1/5*p**5 + 0*p + 3/40*p**6 - 1/3*p**3 + 9*p**2. Find d such that w(d) = 0.
-1/3, 2
Let a(y) = y**5 + y**4 - y**2. Let c(k) = -15*k**5 - 47*k**4 - 44*k**3 - k**2 + 8*k. Let n = -34 + 35. Let q(s) = n*c(s) + 3*a(s). Find b such that q(b) = 0.
-2, -1, 0, 1/3
Let j(s) be the third derivative of s**7/140 + s**6/40 + s**5/40 - 4*s**2 + 1. Suppose j(w) = 0. Calculate w.
-1, 0
Let s be (-6 - -3)/(-3) + -49. Let v = s - -51. Solve -1/3*k**v + 0*k + 0 + 0*k**2 = 0.
0
Let f(a) = 8*a**4 - 4*a**2 + a**3 + 3*a**3 - 12*a - 4 + 4*a**3. Suppose -7*c = -2*c - 10. Let g(d) = d**5 + d. Let v(t) = c*g(t) + f(t). Factor v(r).
2*(r - 1)*(r + 1)**3*(r + 2)
Factor 1/2*k**5 + 4*k**2 + 17/2*k**3 + 0*k + 5*k**4 + 0.
k**2*(k + 1)**2*(k + 8)/2
Let g(f) be the third derivative of -f**5/150 - 5*f**4/12 - 48*f**3/5 + 2*f**2 + 563*f. Factor g(o).
-2*(o + 9)*(o + 16)/5
Let z(a) be the second derivative of -7*a**6/240 + a**5/24 + a**4/24 + 13*a**2/2 + 49*a. Let c(o) be the first derivative of z(o). Solve c(x) = 0 for x.
-2/7, 0, 1
Factor -22/5*a**3 + 484/5 + 88/5*a - 1/5*a**4 - 117/5*a**2.
-(a - 2)*(a + 2)*(a + 11)**2/5
Let u be 5/(-39) - 2802/(-6071). Suppose 1/6*l**4 + 1/2*l**3 - 1/2*l + 1/6*l**2 - u = 0. What is l?
-2, -1, 1
Let n = -519 + 1565/3. Let x(j) be the third derivative of 0*j + n*j**3 + 1/15*j**5 + 8*j**2 + 2/3*j**4 + 0. Factor x(b).
4*(b + 2)**2
Suppose -2*n - 32 = -18*n. Suppose 3*d - 8 = l + n, d - 5 = 2*l. Factor 4/13*r + 14/13*r**2 + 10/13*r**d + 0.
2*r*(r + 1)*(5*r + 2)/13
Let o(n) be the third derivative of -n**7/420 + n**6/45 - n**5/15 - 2*n**3/3 + 16*n**2. Let l(t) be the first derivative of o(t). Factor l(w).
-2*w*(w - 2)**2
Let p(i) be the first derivative of i**4/21 - 2*i**2/7 + 17*i - 2. Let d(h) be the first derivative of p(h). Suppose d(y) = 0. Calculate y.
-1, 1
Let g(p) = 3*p**3 - 30*p**2 + 40*p + 2. Let o(m) = 14*m**3 - 150*m**2 + 200*m + 11. Let s(t) = 11*g(t) - 2*o(t). Factor s(c).
5*c*(c - 4)*(c - 2)
Factor 987 + 29738*r - 30078*r + 27913 + r**2.
(r - 170)**2
Let c(n) be the third derivative of -n**7/105 - n**6/20 + 7*n**5/30 + 5*n**4/4 - 6*n**3 + 222*n**2. Factor c(k).
-2*(k - 2)*(k - 1)*(k + 3)**2
Let i(z) = -z**2 + 9*z - 2. Let l be i(5). Let v(a) = -3*a**2 + 3*a + 24. Let n(t) = t**2 - t - 7. Let k(m) = l*n(m) + 5*v(m). Find w, given that k(w) = 0.
-1, 2
Let h(w) = 3*w**2 + 25*w + 2. Let d(r) = -6*r**2 - 49*r - 5. Let f(m) = 2*d(m) + 5*h(m). Factor f(y).
3*y*(y + 9)
Factor 12*l**3 + 56 - 16*l**2 - 57*l - 75*l + 80*l**2.
4*(l - 1)*(l + 7)*(3*l - 2)
Let b(q) be the third derivative of 1/180*q**5 + 1/24*q**4 + 5*q**2 + 0 - 1/18*q**3 + 0*q - 1/120*q**6. Factor b(n).
-(n - 1)*(n + 1)*(3*n - 1)/3
Let o be (-2076)/865 + 49/10. Determine x, given that o*x**2 + 0 - 15*x = 0.
0, 6
Let u(r) be the second derivative of -2*r**6/5 + 141*r**5/20 - 33*r**4 + 46*r**3 + 48*r**2 - 46*r. Determine k, given that u(k) = 0.
-1/4, 2, 8
Let s = 9 + -8. Suppose 2*r**4 + r**5 + 0 + s + 25*r**2 + 5*r**4 + 19*r**3 + 3 + 16*r = 0. Calculate r.
-2, -1
Let y be 5/(-24)*-4 - 2/6. Let l(n) be the first derivative of 1/10*n**5 - y*n - 1/24*n**6 + 1/8*n**4 + 7/8*n**2 - 7 - 2/3*n**3. Determine d so that l(d) = 0.
-2, 1
Let u(m) = -m**2 - 10*m - 7. Let p(j) = -2*j**2 + 6*j - 9. Let h be p(3). Let r be u(h). Factor 0*b + 0 + 6/5*b**3 - 4/5*b**r.
2*b**2*(3*b - 2)/5
Let m(n) = 2*n**2 - 2*n + 4. Let z be ((-6)/(-3))/(4/(-48)). Let b be ((-1)/(-3))/((-2)/z). Let y(t) = t**2. Let f(h) = b*y(h) - m(h). Factor f(q).
2*(q - 1)*(q + 2)
Factor -1/4 + 25/8*a + 13/8*a**2.
(a + 2)*(13*a - 1)/8
Solve -13 + 12 + 6 - 5*x**2 = 0 for x.
-1, 1
Let u(q) be the third derivative of q**5/135 - 26*q**4/27 + 1352*q**3/27 - 73*q**2 - 2. Factor u(a).
4*(a - 26)**2/9
Let i be ((2072/(-48))/(-37))/(14/6). Factor 1/2*g + 0 - g**2 + i*g**3.
g*(g - 1)**2/2
Let s be -8 + (-8)/(-16)*17. Solve -g**3 + 1/2*g - s*g**4 - 1/2 + g**2 + 1/2*g**5 = 0.
-1, 1
Let d(f) = -2*f**2 + 2*f. Suppose -4 + 2 = -2*j. Let k(l) = l - 2. Let a(g) = -1. Let o(u) = -2*a(u) + k(u). Let h(p) = j*d(p) - 4*o(p). Factor h(w).
-2*w*(w + 1)
Let o be -2*((-2)/33 - 12/528). Determine s, given that o*s**2 - 2/3*s + 1/2 = 0.
1, 3
Let l(o) be the third derivative of -o**8/1008 + o**7/1260 + o**6/60 - 11*o**5/180 + 7*o**4/72 - o**3/12 + 306*o**2 - 2*o. What is f in l(f) = 0?
-3, 1/2, 1
Let v(a) be the third derivative of a**8/16800 - a**6/600 + a**5/150 + 5*a**4/24 - 5*a**2. Let q(l) be the second derivative of v(l). Factor q(f).
2*(f - 1)**2*(f + 2)/5
Let a be ((-9)/(-6))/(77/154). Let 4/11*y**4 + 0 - 8/11*y + 10/11*y**5 - 32/11*y**2 - 30/11*y**a = 0. Calculate y.
-1, -2/5, 0, 2
Suppose 111 = 4*k - 41. Let s = k + -35. Factor -4/3*p**s - 16*p + 8*p**2 + 32/3.
-4*(p - 2)**3/3
Let r be (3/(-3))/(-1)*4. Suppose -3*k - r*k + 4 + k**2 + 12*k = 0. Calculate k.
-4, -1
Let s be (3/10)/((-13196)/(-3296) - 4). Let p = -82 + s. Factor 2/5*h - 4/5*h**2 + 0 + p*h**3.
2*h*(h - 1)**2/5
Solve -3/2*r**2 - 27/2*r + 15 = 0 for r.
-10, 1
Let h(q) be the third derivative of q**5/360 + q**4/18 + 7*q**3/36 - 305*q**2. Factor h(d).
(d + 1)*(d + 7)/6
Suppose 3*m = 3, 0 = 5*v - m - 79 - 200. Suppose -40 + 5*g**3 + 10*g**2 - v*g + 73*g - 37*g = 0. What is g?
-2, 2
Suppose -16 = -5*v + 2*y, 3*y - 10 = -v - 0*y. Suppose 9 - 8*l**2 + 5*l - 6*l**3 + 48*l**4 - 49*l**v + l = 0. Calculate l.
-3, -1, 1
Let a(m) be the second derivative of m**5/70 - 37*m**4/14 - 75*m**3/7 - 113*m**2/7 - m + 279. Solve a(g) = 0.
-1, 113
Determine o so that -97 - 773*o**2 + 89*o**2 - 136 + 93 + 8*o**4 - 556*o - 157*o**3 - 103*o**3 = 0.
-1, -1/2, 35
Let m(o) be the third derivative of o**6/24 - o**5/6 + 5*o**4/24 + o**2 - 12*o. Solve m(i) = 0 for i.
0, 1
Factor 0 + 1/3*g**2 - 1/3*g.
g*(g - 1)/3
Let -20/3*y - 5*y**2 - 5/6*y**3 + 0 = 0. What is y?
-4, -2, 0
Let k(y) = -2*y**4 - 2*y**3 + 3*y**2 - 3*y - 9. Let a(p) = -3*p**4 - 5*p**3 + 7*p**2 - 5*p - 15. Let b(z) = 3*a(z) - 5*k(z). Solve b(h) = 0 for h.
0, 2, 3
Let u(g) be the first derivative of -3*g**5/5 + 53*g**4 - 11446*g**3/9 + 3710*g**2/3 - 1225*g/3 - 659. Factor u(s).
-(s - 35)**2*(3*s - 1)**2/3
Let q(i) be the first derivative of 6*i**2 - 6*i - 16. Let v(k) = -k**3 + 11*k - 6. Let y(j) = 2*q(j) - 3*v(j). Factor y(c).
3*(c - 1)**2*(c + 2)
Let h be (96/336)/(2/28)*(-2)/(-20). Suppose 6/5*z + 11/10*z**4 + 21/5*z**3 - h + 47/10*z**2 = 0. Calculate z.
-2, -1, 2/11
Let c(l) be the first derivative of 0*l + 1/12*l**4 + 1/9*l**3 + 0*l**2 - 11. Factor c(a).
a**2*(a + 1)/3
Let i(y) be the second derivative of -9*y**7/56 + 7*y**6/5 - 63*y**5/20 - 19*y**4/8 + 93*y**3/8 - 27*y**2/4 - 185*y + 1. Find r, given that i(r) = 0.
-1, 2/9, 1, 3
Suppose 0 = -2*f + m + 4, -3*f + 14*m + 20 = 16*m. Factor 1/2*v**5 - 5/2*v**3 + 1/2*v**f + 3/2*v**2 + 0 + 0*v.
v**2*(v - 1)**2*(v + 3)/2
Let n(b) be the third derivative of b**5/15 - 11*b**4/2 - 140*b**3/3 - 16*b**2 - 7. What is u in n(u) = 0?
-2, 35
Determine y so that -108/7*y - 72/7 - 40/7*y**2 - 4/7*y**3 = 0.
-6, -3, -1
Solve 21*m**2 + 27*m**2 + 538 - 82*m**2 + 29*m**2 - 3663 - 250*m = 0.
-25
Let o(h) = -4*h - 6. Let p be o(0). Let n be (-5 - -11)*(9/p + 2). Solve 0*c - 2/7*c**2 + 0 - 2/7*c**n = 0 for c.
-1, 0
Let k be (-2)/(-5)*40/4. Suppose -2*z - z + 5*t - 1 = 0, 0 = -k*z - t + 14. Factor 2/5*a + 6*a**z + 26/5*a**4 + 8/5*a**5 + 14/5*a**2 + 0.
2*a*(a + 1)**3*(4*a + 1)/5
Let f be 26/6 + (-3)/9. Suppose 6*b = -14*b + 60. Suppose -q**2 - 3*q**3 + 6*q**3 - b*q - 3*q**f + 4*q**2 = 0. What is q?
-1, 0, 1
Let m = 152 + -148. Let a(u) be the third derivative of 0 + 1/150*u**6 + 0*u + 0*u**3 + 1/60*u**m - 1/50*u**5 + 2*u**2. Let a(s) = 0. What is s?
0, 1/2, 1
What is h in 62 + 5*h**3 + 19 + 0*h**2 - 5*h**2 - 1 - 16*h - 64*h = 0?
-4, 1, 4
Let t(v) be the third derivative of 16/9*v**3 + 22*v**2 - 1/9*v**4 - 1/10*v**5 - 11/720*v**6 - 1/1260*v**7 + 0*v + 0. Factor t(m).
-(m - 1)*(m + 4)**3/6
Let i = 56 + -51. Factor -5*x**i - x**4 - 40*x + 25*x**3 - 15*x**2 - 4*x**4 + 20 + 20*x**2.
-5*(x - 1)**3*(x + 2)**2
Suppose -53 = u - 5*q, -3*q - 36 = 2*u + q. Let c 