+ 3/(-21)*1. Let w = 10/1673 + o. Factor 12/7*j**3 + 104/7*j**2 + w*j + 128/7.
4*(j + 4)**2*(3*j + 2)/7
Suppose -2*d - 15 = -c, 4*c + d - 4*d - 40 = 0. Suppose s = 4*s - 9. Suppose -6*g**2 + 0*g**s - 3*g**3 + c*g**4 - g**4 + 3*g**5 = 0. What is g?
-2, -1, 0, 1
Let y(b) = -b - 6. Let l be y(-9). Let f be 4/(-12) + 7/l. Determine h, given that -32*h**5 - 57*h**3 - 165*h**4 + 26*h - 43*h**5 - f*h - 12 + 69*h**2 = 0.
-1, 2/5
Let a(l) be the second derivative of 50*l**2 + 20/3*l**3 + 1/3*l**4 + 13*l + 0. Factor a(t).
4*(t + 5)**2
Let a(b) be the first derivative of -5/3*b**3 + 10*b - 5/2*b**2 + 1. Factor a(i).
-5*(i - 1)*(i + 2)
Let d(j) be the second derivative of j**5/30 - 7*j**4/12 + 45*j**2/2 + 46*j. Let h(u) be the first derivative of d(u). Solve h(m) = 0 for m.
0, 7
Let o(q) = -q**2 - 17*q - 7. Let y(w) = 4*w + 1. Let s(z) = z. Let u(x) = 4*s(x) - 2*y(x). Let t(d) = 4*o(d) - 18*u(d). Let t(h) = 0. Calculate h.
-1, 2
Let c(m) be the third derivative of -m**6/45 + 3*m**5/10 - 11*m**4/12 - 10*m**3/9 - 21*m**2 + m. Factor c(o).
-2*(o - 5)*(o - 2)*(4*o + 1)/3
Let v = -24 + 27. Solve -v*y**3 + 5*y**2 - 5*y**4 + 4*y**3 - 3*y**3 - 3*y**3 + 5*y**5 = 0.
-1, 0, 1
Let o be (-12 - (-15 - -7)) + 16. Let v(b) be the first derivative of 0*b + 3/2*b**2 + o - 1/3*b**3. Factor v(d).
-d*(d - 3)
Let i(s) = -s + 36. Let n be i(30). Let h(t) be the third derivative of -1/6*t**4 - 1/30*t**5 - 4/9*t**3 + t**2 + 0 + 0*t - 1/360*t**n. Factor h(a).
-(a + 2)**3/3
Suppose -58/15*o**3 + 28/15 - 4/15*o**4 + 58/15*o - 8/5*o**2 = 0. What is o?
-14, -1, -1/2, 1
Suppose -q + 35 = 4*k + 2*q, 0 = -k + q. Let v(f) = f - 5. Let j be v(k). Factor j*s**3 - 3*s - 19*s**2 + 22*s**2 + 6*s**3.
3*s*(s + 1)*(2*s - 1)
Let x(s) be the second derivative of s**6/60 - 3*s**5/40 + s**4/8 - s**3/12 - 2*s + 9. Find w, given that x(w) = 0.
0, 1
Let w(g) be the second derivative of -g**4/2 + 5*g**3/3 + 2*g**2 + 8*g - 1. Determine l, given that w(l) = 0.
-1/3, 2
Factor -31/2*x**2 + 1/2*x**3 + 128 + 112*x.
(x - 16)**2*(x + 1)/2
Let n = 666 - 662. Let f(w) be the first derivative of 0*w**3 + 1/3*w**6 + w**2 - w**n + 5 + 0*w**5 + 0*w. Factor f(a).
2*a*(a - 1)**2*(a + 1)**2
Let b(a) be the second derivative of a**4/3 + 2*a**3 - 47*a - 1. Factor b(x).
4*x*(x + 3)
What is s in 154*s**2 - 3*s**3 - 2*s**3 - 77*s**2 + 2*s - 68*s**2 = 0?
-1/5, 0, 2
Let o(f) = f**3 - 2. Let w(t) = -6*t**3 + 8*t**2 + 2*t. Let x(m) = 4*o(m) + w(m). Solve x(b) = 0 for b.
-1, 1, 4
Solve -2*c**3 - 46 - 51 + 61 - 16*c**2 - 42*c = 0.
-3, -2
Let m = -753 - -756. Let v(h) = -3*h. Let i be v(-1). Factor 5*g - 3 + 0 + 4*g - m*g**2 - i*g.
-3*(g - 1)**2
Let t(v) = -v**4 + 6*v**3 + 16*v**2 - 14*v + 5. Let m(l) = l**4 - 5*l**3 - 14*l**2 + 15*l - 6. Let z(x) = -4*m(x) - 3*t(x). What is p in z(p) = 0?
-3, 1, 3
Let a = 80 - 77. Find b such that -4*b**a + 7*b - 8*b**2 + 7*b + 5*b - 23*b = 0.
-1, 0
Let a be ((-19)/(-4))/((-1)/(-12)). Suppose -a*y - 24 + y - 13*y**2 - 60*y - 23*y**2 = 0. What is y?
-3, -2/9
Suppose 5*h = 22 + 8. Let t(y) = -3*y + 33. Let p be t(10). Find s such that -s + 2*s**2 + s**3 - h*s**p - 2*s**4 + 6*s**3 + 0*s = 0.
-1, 0, 1/2, 1
Let j(f) = -43*f + 532. Let c be j(12). Let -6*i**2 - 4 + c*i - 20*i**3 - 25/4*i**4 = 0. What is i?
-2, 2/5
Let n(y) be the third derivative of -y**8/4032 - y**7/336 + y**6/36 + y**5/3 - 22*y**2. Let o(s) be the third derivative of n(s). Let o(i) = 0. Calculate i.
-4, 1
Suppose -4*y + 14 = 6. Suppose 3*p - 21 = -4*l + 2*p, -y*p = 2*l - 6. Factor 6*z**2 + l*z**5 - 6*z - 2*z**5 - 14*z**2 + 8*z**4 + 2*z.
4*z*(z - 1)*(z + 1)**3
Let c(r) = -9*r**3 + 19*r**2 - 24*r + 9. Let b(l) = 4*l**3 - 9*l**2 + 12*l - 5. Let o = -16 - -13. Let y(f) = o*c(f) - 7*b(f). Factor y(q).
-(q - 2)**3
Let w be ((-414)/(-336))/((-6)/(-8)) + (-12)/(-14). Suppose 1/2*v**3 + 2*v**2 + 0 - w*v = 0. Calculate v.
-5, 0, 1
Suppose -p + 3*s + 12 = 0, -p + 5*s = -13 - 5. Let g(t) = t**3 + 18*t**2 - 30*t - 47. Let b(n) = -n**3 - 1. Let z(r) = p*b(r) + g(r). Factor z(j).
-2*(j - 5)**2*(j + 1)
Let o(y) be the second derivative of y**5/330 - y**4/132 + 3*y**2/2 - 19*y. Let h(r) be the first derivative of o(r). Factor h(n).
2*n*(n - 1)/11
Let i(v) be the first derivative of 5*v**4 + 108*v**3 + 182*v**2 + 60*v + 71. Factor i(s).
4*(s + 1)*(s + 15)*(5*s + 1)
Let v(t) be the first derivative of -4*t**3/7 - 608*t**2/7 + 816*t/7 + 343. Factor v(d).
-4*(d + 102)*(3*d - 2)/7
Suppose v + 0*v - 2 = 0. Suppose v*m - m - 2 = 0. Suppose 9*h**2 + 2*h + h**3 - m*h + 3 - 4*h**3 - 9*h = 0. Calculate h.
1
Let j be (-6)/17064*4*2. Let r = 15632/3555 - j. Factor 4/5 + r*h**2 - 26/5*h.
2*(h - 1)*(11*h - 2)/5
Let y(w) be the third derivative of w**4/24 - 2*w**3/3 + 4*w**2. Let o be y(11). Suppose 2*j - o*j - 2*j**3 + 2*j**2 + 5*j = 0. Calculate j.
0, 1
Suppose -14 = -8*t + 66. Suppose -3 = -4*j - u + t, 3 = -j + u. Determine x, given that 3/5*x**j - 3/5*x**3 + 0 + 0*x = 0.
0, 1
Let l(p) = -p**2 - 13*p - 18. Let h be l(-11). Determine j so that 32*j - h*j**2 + 7 + 32*j**4 + 88*j**3 - 3 + 0*j**4 + 88*j**2 = 0.
-1, -1/2, -1/4
Let j(h) be the third derivative of -15/2*h**3 + 0*h + 5/12*h**5 - 7 - 1/24*h**6 - 3*h**2 - 5/8*h**4. Factor j(p).
-5*(p - 3)**2*(p + 1)
Let d be 22/4 - 2/4. Let s be ((1 + -1)/3)/3. Factor s*o**3 - o**d + 4*o**4 - 3*o**4 + o**3 - o**2.
-o**2*(o - 1)**2*(o + 1)
Let m(l) be the third derivative of -l**7/210 + 7*l**6/40 - 13*l**5/20 + 19*l**4/24 - 808*l**2. Factor m(i).
-i*(i - 19)*(i - 1)**2
Let v = 30 - 1. Factor -1 - 7 - 41*t - 2*t**2 - 2*t**2 + v*t.
-4*(t + 1)*(t + 2)
Let y(k) be the first derivative of 4*k**5 + 73*k**4 + 380*k**3 + 238*k**2 - 392*k - 37. Determine s so that y(s) = 0.
-7, -1, 2/5
Suppose 9*z + 2901 - 174 = 0. Let j be 4/6 - (z/45 - -5). Find c such that 8/5*c**4 + 2/5*c + 0 + j*c**2 + 18/5*c**3 = 0.
-1, -1/4, 0
Let t = 3509929/3261 + -3229/3. Let a = 4362/7609 - t. Factor a*p**2 - 32/7*p + 64/7.
4*(p - 4)**2/7
Let h(a) be the third derivative of -a**6/300 + 109*a**5/600 - 131*a**4/240 + 13*a**3/30 - 183*a**2 + 2. Find c, given that h(c) = 0.
1/4, 1, 26
Let u(h) = -h**3 - 8*h**2 + 11*h + 20. Let n be u(-9). Let z(d) be the first derivative of 0*d + 3/4*d**n - 1/4*d**3 + 5. Factor z(q).
-3*q*(q - 2)/4
Let y(p) be the second derivative of 2*p**7/21 + 4*p**6/15 + 6*p - 13. Let y(m) = 0. Calculate m.
-2, 0
Let a(g) = 6*g**3 - 19*g**2 - 45*g - 20. Let x(c) = 3*c + c + 4 - 6*c - c**3 + 11*c + 4*c**2. Let v(l) = 2*a(l) + 11*x(l). Factor v(j).
(j + 1)**2*(j + 4)
What is m in 0 - 24/7*m + 2/7*m**4 + 40/7*m**2 - 18/7*m**3 = 0?
0, 1, 2, 6
What is y in -10647 - 8*y**2 + 210*y - 1217 + 839 + 7*y**2 = 0?
105
Let u(y) be the third derivative of -y**7/70 - 3*y**6/40 + 9*y**5/20 - 5*y**4/8 + y**2 + 47. Solve u(h) = 0 for h.
-5, 0, 1
Let l(z) be the first derivative of -z**4/8 + 4*z**3/3 - 4*z**2 + 7. Factor l(y).
-y*(y - 4)**2/2
Suppose -5*k + 4*l = -35, -7 = -4*k - 4*l + 3*l. Suppose 4*z = 4*i - 20, -i = z + 2 - k. Find t such that -2 - 1 - 3*t**2 + 3*t + i = 0.
0, 1
Suppose 0 = 5*x - 4*z - 385, 5*x + 119 = 3*z + 509. Let d = -81 + x. Factor -1/3*w + d + 1/3*w**3 + 0*w**2.
w*(w - 1)*(w + 1)/3
Let c be (-5 - -11)*(-8)/(-6). Let w be (30/40)/(2/c). Find l, given that 10*l**2 - w*l - 17*l**2 + 8*l**2 - 4 = 0.
-1, 4
Let q(a) be the third derivative of 7*a**6/1020 + 2*a**5/51 + 19*a**4/204 + 2*a**3/17 + 64*a**2. Determine y so that q(y) = 0.
-1, -6/7
Let h(l) be the first derivative of 2*l**6/3 - 2*l**5/55 - l**4 + 2*l**3/33 - 584. Suppose h(y) = 0. What is y?
-1, 0, 1/22, 1
Let q(p) be the second derivative of -1/105*p**6 + 0 + 2/7*p**2 + 28*p - 1/70*p**5 + 5/21*p**3 + 1/14*p**4. Find s, given that q(s) = 0.
-1, 2
Suppose 0 = -2*r - 12 + 16. Let k(m) = m + 2. Let o be k(1). Determine v so that 0*v + 0 + 4/5*v**o + 2/5*v**4 + 2/5*v**r = 0.
-1, 0
Let l(p) be the second derivative of p**9/8064 + p**8/4480 - p**7/2240 - p**6/960 - p**3/3 + 23*p. Let g(d) be the second derivative of l(d). Factor g(n).
3*n**2*(n - 1)*(n + 1)**2/8
Let m be (-4 - (-15)/6)*-2. Factor 3*x**5 + 6*x**4 - 14*x**2 + 14*x**2 + m*x**3 + 0*x**3.
3*x**3*(x + 1)**2
Let o(m) = 9*m**2 - 332*m - 35. Let h be o(37). Factor -1/4*y**4 - 1/2*y**3 + 1/4 + 0*y**h + 1/2*y.
-(y - 1)*(y + 1)**3/4
Let t(q) be the second derivative of -8*q**7/7 - 10*q**6/3 - 13*q**5/5 + q**4/3 + 2*q**3/3 - 16