(f - 2)*(12*f + 1)/6
Let t be 15 - (3/1 - 0) - 0. Let j be 36/t - (4 + -1). Factor 9/4*z**2 + 3/4*z**3 + j + 0*z.
3*z**2*(z + 3)/4
Suppose -5/4*n - 1/4*n**2 + 1/4*n**3 - 3/4 = 0. What is n?
-1, 3
Let c(p) = 2*p + 38. Let y be c(-17). Let m(b) = b**3 - 2*b**2 - 5*b - 4. Let u(n) = -n**2 - 1. Let s(d) = y*m(d) - 4*u(d). What is g in s(g) = 0?
-1, 3
Suppose -5*i = 4*o - 30, -469*o + 24 = -466*o + 4*i. Factor 0*h**2 + 0*h + o + 6/5*h**3 - 21/5*h**4.
-3*h**3*(7*h - 2)/5
Let b(t) = t**2 - 14*t + 27. Let n be b(12). Factor -20*k**2 + 18*k**3 - 18*k**3 + 5*k**n.
5*k**2*(k - 4)
Determine d so that -9*d - 3/5*d**3 - 48/5*d**2 + 0 = 0.
-15, -1, 0
Let h = -9102 - -9134. Factor -h + 8*a - 1/2*a**2.
-(a - 8)**2/2
Let f(n) be the third derivative of n**6/420 - 9*n**5/70 - 5*n**4/14 + 8*n**3/3 - 319*n**2. Factor f(b).
2*(b - 28)*(b - 1)*(b + 2)/7
Find l such that 50/13*l**3 + 116/13*l**2 - 8/13*l**4 + 0 - 32/13*l = 0.
-2, 0, 1/4, 8
Factor 7*x + 30 + 1/3*x**2.
(x + 6)*(x + 15)/3
Let g(h) = -h**3 - 2*h**2 - h - 1. Let v be g(-1). Let y = 2 - v. Determine j, given that 2*j + 3*j**5 - 6*j**y - j + j + j = 0.
-1, 0, 1
Let b(d) be the third derivative of 1/27*d**3 + 17*d**2 + 0 - 1/54*d**4 + 1/270*d**5 + 0*d. Factor b(u).
2*(u - 1)**2/9
Factor 45/2*b - 87/4 - 3/4*b**2.
-3*(b - 29)*(b - 1)/4
Let u = -18 - -23. Let u*n**3 + 10 + 59*n**4 + 10*n**3 - 15*n - 64*n**4 - 5*n**2 = 0. Calculate n.
-1, 1, 2
Let x(j) be the first derivative of j**6/12 - 9*j**4/8 + 2*j**3/3 + 3*j**2 + 593. What is l in x(l) = 0?
-3, -1, 0, 2
Determine s so that 144/11*s**2 - 72/11 + 2/11*s - 4/11*s**3 + 2/11*s**5 - 72/11*s**4 = 0.
-1, 1, 36
Let w = 676/413 + 72/59. Determine u, given that -32/7*u - 4/7*u**3 - w*u**2 - 16/7 = 0.
-2, -1
Let h(a) be the first derivative of -12 + 1/6*a**4 - 1/3*a**2 + 2/9*a**3 + 0*a - 2/15*a**5. Factor h(q).
-2*q*(q - 1)**2*(q + 1)/3
Suppose 4*k**3 - 16*k + 24*k**2 - 78 - 8 - 10 = 0. What is k?
-6, -2, 2
Solve -51/2*z**2 + 0*z**3 + 3/2*z**4 - 54*z - 30 = 0 for z.
-2, -1, 5
Let u = 57 + -47. Let t(s) = -s**3 + 11*s**2 - 9*s - 8. Let i be t(u). Factor -14/9*f + 4*f**i + 2/9 - 2/3*f**5 + 26/9*f**4 - 44/9*f**3.
-2*(f - 1)**4*(3*f - 1)/9
Let t(i) be the second derivative of -3*i**4/4 - 61*i**3/6 + 7*i**2 + 10*i + 4. Solve t(m) = 0 for m.
-7, 2/9
Let w(s) be the third derivative of s**8/1680 - 16*s**7/525 + 73*s**6/150 - 12*s**5/25 - 216*s**4/5 - 1152*s**3/5 - 335*s**2. Factor w(j).
(j - 12)**3*(j + 2)**2/5
Let b be ((-14)/((-182)/117) - 12)/(0 - 2). Solve 0 + 6*f**3 + 15/2*f**2 + 3*f + b*f**4 = 0 for f.
-2, -1, 0
Factor -1/6*m**2 - 10/3 + 3/2*m.
-(m - 5)*(m - 4)/6
Let v(w) be the first derivative of 1/192*w**4 - 1/480*w**5 + 1/2880*w**6 + 0*w**2 + 2 + 0*w - 5/3*w**3. Let m(g) be the third derivative of v(g). Factor m(z).
(z - 1)**2/8
Let n(p) be the third derivative of -p**5/210 + p**4/21 + 84*p**2. Let n(f) = 0. Calculate f.
0, 4
Suppose -9*s + 96 = -3*s. Suppose -s*q = -5*q. Factor q + 3/5*b**2 - 3/5*b.
3*b*(b - 1)/5
Let t(o) be the third derivative of o**8/168 - o**7/105 + 42*o**2 + 2. Let t(f) = 0. What is f?
0, 1
Let y be (8/20 + 0)/(7/(-420)). Let x be (3/11)/(y/(-32)). Let 10/11*g + x + 8/11*g**2 + 2/11*g**3 = 0. What is g?
-2, -1
Determine m, given that -26*m**4 - 2*m**2 + 45*m - 21*m**3 + 26*m**4 + 3*m**4 + 23*m**2 = 0.
-1, 0, 3, 5
Let 9/2*x**2 - 3/2*x**3 + 0 - 3*x = 0. What is x?
0, 1, 2
Let q be 0 + 4/14 + 1. Suppose -122*u + 366 = 212 - 334. Suppose q*r**3 + 0 + 3/7*r**5 + 0*r + 3/7*r**2 + 9/7*r**u = 0. Calculate r.
-1, 0
Let r(b) be the third derivative of -b**6/420 - b**5/70 + b**4/21 + 31*b**2 + 8*b. Factor r(t).
-2*t*(t - 1)*(t + 4)/7
Let h(l) be the second derivative of -l**6/15 + l**5/10 + l**4/3 - 246*l. Factor h(o).
-2*o**2*(o - 2)*(o + 1)
Let h(g) be the third derivative of 1/40*g**6 - 5*g**2 + 0*g + g**3 - 3/8*g**4 + 0*g**5 + 0. Factor h(y).
3*(y - 1)**2*(y + 2)
Let j(u) be the first derivative of 10*u**2 + 27 - 24*u + 4/3*u**3. Factor j(a).
4*(a - 1)*(a + 6)
Let m(c) = 15*c**2 - 75*c - 70. Let k(q) = q**2. Let s(i) = -20*k(i) + m(i). Factor s(g).
-5*(g + 1)*(g + 14)
Suppose 4*g - 7*g**5 - 2*g**3 - 2*g**4 - 3*g**3 + 2*g**3 - 3*g**3 + 9*g**5 + 2*g**2 = 0. What is g?
-1, 0, 1, 2
Suppose -2*u - 5 = -1, -r = -u - 2. Let i be 2/(-5) - 22/(-5). Factor r + 0*n - 3*n**3 - 3/2*n**2 - 3/2*n**i.
-3*n**2*(n + 1)**2/2
Let h(s) be the third derivative of s**7/945 + 17*s**6/540 - 19*s**5/90 + 59*s**4/108 - 20*s**3/27 + 116*s**2. Suppose h(p) = 0. What is p?
-20, 1
Suppose 3*t + 9 = 0, 5*u + 5*t = 3*t + 4. Find h, given that -78*h**3 - 165*h**u + 28*h**4 - 4*h - 4*h + 213*h**2 = 0.
0, 2/7, 1/2, 2
Let r(d) be the third derivative of -d**8/21 + d**7/15 + 976*d**2. Suppose r(y) = 0. What is y?
0, 7/8
Let o(x) be the third derivative of x**7/1365 - x**6/195 - x**5/195 + x**4/13 + 3*x**3/13 + x**2 + 3. Solve o(j) = 0 for j.
-1, 3
Let f(s) be the first derivative of -2*s**7/35 - s**6/5 - 9*s**5/40 - s**4/8 - 2*s**3 - 7. Let n(p) be the third derivative of f(p). Factor n(j).
-3*(j + 1)*(4*j + 1)**2
Factor -2/9*g**2 + 112/9*g - 1568/9.
-2*(g - 28)**2/9
Let b(d) = 3730*d**2 + 1546*d + 34. Let i(j) = 1242*j**2 + 515*j + 11. Let y(h) = 3*b(h) - 10*i(h). Determine a, given that y(a) = 0.
-2/5, -2/123
Factor -1/4*p**2 + 11/4*p - 9/2.
-(p - 9)*(p - 2)/4
Let k(m) be the first derivative of -m**6/9 + 16*m**5/15 - 8*m**4/3 + 103. Suppose k(p) = 0. Calculate p.
0, 4
Suppose 262 = -3*j + 274. Let d(b) be the third derivative of 0*b - 1/16*b**j + 6*b**2 + 1/40*b**5 + 0 - 1/240*b**6 + 1/12*b**3. Factor d(u).
-(u - 1)**3/2
Factor 15948*i + 3 + 5*i**2 - 3 - 15828*i.
5*i*(i + 24)
Let o(n) = -n**2 - n - 1. Suppose -4*a + 2*a = -6. Let p(y) = 6*y - a*y + 4 + 2. Let u(w) = -3*o(w) - p(w). Solve u(g) = 0.
-1, 1
Let q(f) be the first derivative of -2*f**3/15 - 33*f**2/5 + 68*f/5 + 500. What is n in q(n) = 0?
-34, 1
Let h(b) be the second derivative of -b**5/110 - b**4/22 - b**3/11 - b**2/11 + 22*b. What is t in h(t) = 0?
-1
Let j(q) be the second derivative of -q**9/10080 + q**8/6720 + q**7/5040 + 4*q**4 + 38*q. Let o(u) be the third derivative of j(u). Solve o(f) = 0.
-1/3, 0, 1
Let p(h) be the second derivative of h**5/10 - 8*h**4 - 142*h. Find b such that p(b) = 0.
0, 48
Let n(v) be the third derivative of 0*v**5 + 1/660*v**6 + 0*v + 0 + 1/1155*v**7 + 0*v**3 + 0*v**4 - 19*v**2. Suppose n(x) = 0. Calculate x.
-1, 0
Let n be -8 + 0 + 8/1. Let b(g) be the third derivative of 1/20*g**6 - 5*g**2 + 1/20*g**5 + 0*g + 0 + 1/70*g**7 + 0*g**3 + n*g**4. Factor b(q).
3*q**2*(q + 1)**2
Suppose 5*l = w - 25, -3*w + 3*l + 70 = 55. Factor 2*f**3 - 8/3*f + 2/3*f**4 + w + 0*f**2.
2*f*(f - 1)*(f + 2)**2/3
Suppose -7*x + 4*x = 0. Let o = -27/10 + 21/5. Suppose 3/2*n**2 - 3/2*n - 3/2*n**4 + x + o*n**3 = 0. What is n?
-1, 0, 1
Let n(i) be the third derivative of i**6/30 + 2*i**5/15 + i**4/6 - 43*i**2. Determine y, given that n(y) = 0.
-1, 0
Suppose 9 = -2*o - 5*x + 23, 12 = o + 5*x. Suppose 1/5*p**o - 2/5 - 1/5*p = 0. What is p?
-1, 2
Suppose 2 = t, 5*s + 5*t - 69 = 3*t. Let d = 15 - s. Find a such that -3*a + 12*a**3 - 4*a**4 - 11*a**5 + 4*a**2 - 3*a - d + 2*a**4 + 5*a**5 = 0.
-1, -1/3, 1
Suppose -2*m + 3*h = -3*m + 7, 3*m - 9 = 3*h. Let w(z) = -z**3 + 9*z**2 - 6*z - 11. Let c be w(8). Find l, given that l**5 - l**3 - 9 + 9 + 2*l**c - 2*l**m = 0.
-1/3, 0, 1
Let k = 36 - 37. Let c be k/(-4) + 1/(-4). Factor -2/13*b + 2/13*b**3 + c + 0*b**2.
2*b*(b - 1)*(b + 1)/13
Let h(c) be the second derivative of c**9/1680 + c**8/1120 - c**7/840 + c**4 + 16*c. Let d(a) be the third derivative of h(a). Factor d(u).
3*u**2*(u + 1)*(3*u - 1)
Let d(z) be the second derivative of 11*z**5/35 - 2*z**4/7 - 22*z**3/21 + 12*z**2/7 + 120*z. Suppose d(x) = 0. Calculate x.
-1, 6/11, 1
Let j(v) = -7*v**2 - 25*v. Let t(r) = r. Let c(h) = j(h) - 5*t(h). Let g(z) = -5*z**2 - 20*z. Let m(f) = -5*c(f) + 8*g(f). Suppose m(u) = 0. What is u?
-2, 0
Determine r, given that 68/3*r**3 - 280/3*r**2 + 32/3*r + 0 = 0.
0, 2/17, 4
Solve 5/3*p**4 + 1/3*p**5 - 1/3*p**3 + 0*p + 0 - 5/3*p**2 = 0.
-5, -1, 0, 1
Let w = 62 - 22. Factor w - 12*l**2 - 66 + 40*l + 58.
-4*(l - 4)*(3*l + 2)
Let b = -226 + 228. Let z(p) be the first derivative of -1/2*p**4 - 4 + 2/3*p**3 + p**2 - b*p. Factor z(c).
-2*(c - 1)**2*(c + 1)
Let u(l) be the first derivative of l**4/18