)/(-496) - 1/60*t. Factor 2/15*m**2 - h + 0*m.
2*(m - 2)*(m + 2)/15
Let n(g) = 4*g**2 + 20*g - 20. Let x(q) = -q**3 + q**2 - 1. Let u(f) = -n(f) - 4*x(f). Factor u(w).
4*(w - 3)*(w - 1)*(w + 2)
Suppose 36/7*g**4 - 40/7*g**2 - 32/7*g**3 + 4/7 + 32/7*g = 0. What is g?
-1, -1/9, 1
Let -16*d + 16*d**3 - 4*d + 4*d**5 + 2*d**2 - 16*d**2 - 24*d**4 + 38*d**2 = 0. Calculate d.
-1, 0, 1, 5
Suppose 44 - 47 = -g. Let v(x) be the first derivative of 0*x - 2/21*x**6 + 11/35*x**5 + 1/14*x**2 - 9/28*x**4 - 7 + 1/21*x**g. Factor v(z).
-z*(z - 1)**3*(4*z + 1)/7
Let l(h) be the third derivative of 1/8*h**4 + 1/100*h**5 - 1/350*h**7 + 0*h + 0*h**3 - 1/40*h**6 + 10*h**2 + 0. Solve l(s) = 0 for s.
-5, -1, 0, 1
Suppose 2*o - 86 = 4*w, -2*o = 5*w - 10 - 31. Factor 4*h - 31 - o + 2*h**3 - 10*h**2 + 56 + 12*h.
2*(h - 2)**2*(h - 1)
Find b, given that 4/19*b - 2/19*b**3 + 0 + 2/19*b**2 = 0.
-1, 0, 2
Let i(x) be the first derivative of 2*x**5/5 - 6*x**4 + 14*x**3 - 10*x**2 + 138. Factor i(j).
2*j*(j - 10)*(j - 1)**2
Let b(g) = g**2 + 24*g + 25. Suppose 0 = -2*j + 3*f - 31, -3*j - 28 = -f + 36. Let c be b(j). Factor c - 3/2*w**2 - 2*w.
-(w + 2)*(3*w - 2)/2
Find r, given that r**3 + 13 - r - 10*r**2 + 8*r**2 + 17 - 28 = 0.
-1, 1, 2
Suppose -7*m + 201 = -2*m + 4*n, 3*n = 3*m - 99. Suppose -26*f + m*f = 0. Factor 0 + f*i**2 + 0*i - 1/4*i**3 + 1/4*i**4.
i**3*(i - 1)/4
Suppose 4*c - 68 + 24 = -2*v, 4*v - 100 = -4*c. Let j be (v/21)/((-14)/(-12)). Factor -2*z**2 - j - 32/7*z.
-2*(z + 2)*(7*z + 2)/7
Let y(l) be the first derivative of -1/9*l**3 - 6 + 0*l**2 + 0*l - 1/36*l**6 + 0*l**5 + 1/8*l**4. Solve y(v) = 0 for v.
-2, 0, 1
Let v = 3812/1425 - 4/475. Let -4/3*n**2 + 0 - 8/3*n + 4/3*n**4 + v*n**3 = 0. Calculate n.
-2, -1, 0, 1
Suppose 4*g + 2*l = 0, 0*g = 4*g - 4*l. Let p(j) be the first derivative of -2/7*j**2 - 1 + 2/21*j**3 + g*j. Solve p(d) = 0 for d.
0, 2
Let l(j) be the third derivative of 1/12*j**5 + 0 + 0*j**3 + 0*j**4 + 1/42*j**7 + 0*j - 1/12*j**6 + 9*j**2. Determine q so that l(q) = 0.
0, 1
Solve 6*v**2 + 22 + 0 - 15*v**2 + 20*v + 7*v**2 = 0 for v.
-1, 11
Let z(o) be the second derivative of o**7/21 + 2*o**6/3 + 27*o**5/10 + 3*o**4 - 81*o. Factor z(l).
2*l**2*(l + 1)*(l + 3)*(l + 6)
Let i(r) = -5*r**5 + 4*r**4 - 24*r**3 + 30*r**2 - 19*r + 6. Let b(f) = 4*f**5 - 5*f**4 + 24*f**3 - 31*f**2 + 20*f - 6. Let h(a) = 4*b(a) + 3*i(a). Factor h(m).
(m - 3)*(m - 2)*(m - 1)**3
Suppose 3*g + 4*l = -13 + 41, 4*g - 2*l = 30. Suppose 7*q = 9*q - g. Factor 2*i**5 - i**q - 28 - i**4 + 28.
2*i**4*(i - 1)
Let i = 2/4695 - -112666/32865. Factor 4/7*j**2 + i + 20/7*j.
4*(j + 2)*(j + 3)/7
Let b(a) be the second derivative of -11*a + a**5 - 2/15*a**6 + 2*a**3 + 0*a**2 - 7/3*a**4 + 0. Factor b(z).
-4*z*(z - 3)*(z - 1)**2
Let l = -2849 + 19947/7. What is r in l*r + 2/7*r**2 + 0 = 0?
-2, 0
Let m(f) be the first derivative of 45*f**4/4 + 226*f**3 + 879*f**2/2 + 246*f - 151. Find l, given that m(l) = 0.
-41/3, -1, -2/5
Let c = 3/1303 + 1297/2606. Factor c*b**3 + 0 - 1/2*b**2 + 0*b.
b**2*(b - 1)/2
Let m(b) be the first derivative of b**4/10 + 4*b**3/3 + 12*b**2/5 - 144*b/5 + 163. Suppose m(s) = 0. Calculate s.
-6, 2
Suppose 48 = r + 3*r. Solve 15*c - 5*c**3 + 6*c**5 + 6*c**2 - 7*c**3 - r*c**4 - 9*c**5 + 6 = 0.
-2, -1, 1
Suppose 4*u + 16 = 0, -2*n = -5*u + 4*u - 12. Suppose 10 = 3*f - 8*f + 4*r, -5*f + 30 = n*r. Find z, given that -3/5*z**3 - 3/5 - 9/5*z - 9/5*z**f = 0.
-1
Factor -256/3*d - 8192/3 - 2/3*d**2.
-2*(d + 64)**2/3
Let r(n) be the first derivative of 5/12*n**6 - 5/4*n**2 + 0*n + 7 + 0*n**4 - 5/3*n**3 + n**5. Let r(l) = 0. What is l?
-1, 0, 1
Let b be ((-98)/(-7) + -4)*(-4)/(-10). Let o(i) be the second derivative of -10*i + 0 + 1/12*i**b - 1/6*i**3 + 0*i**2. Factor o(j).
j*(j - 1)
Suppose -20*d = -7*d. Suppose -o + 2*w = d, -3*w + 19 - 1 = 3*o. Suppose 2/5*x**5 + 2/5 + 2/5*x - 4/5*x**3 + 2/5*x**o - 4/5*x**2 = 0. Calculate x.
-1, 1
Let b(s) be the second derivative of s**4/24 + s**3/6 + s**2/4 - 148*s. Solve b(l) = 0.
-1
Let z(k) = -7*k**2 - 16*k + 15. Let y(s) = 15*s**2 + 33*s - 31. Let i(a) = -6*y(a) - 13*z(a). Let v be i(-11). Solve 2/5*f**v - 4/5 - 2/5*f = 0 for f.
-1, 2
Suppose -3*v + 27 = 3*f, -2 = 3*f - 3*v + 1. Let u(y) = -3*y**2 - 2*y + 1. Let r(n) = -4*n**2 - 2*n + 2. Let o(j) = f*r(j) - 5*u(j). What is z in o(z) = 0?
-1, 3
Let h = 1 + 2. Suppose -19*s + 6*s + 182 = 0. Determine x, given that -6*x**2 + 17*x - 3*x**2 - h*x**4 + 9*x**3 - s*x = 0.
0, 1
Let q(m) be the second derivative of 3*m**5/100 - 7*m**4/30 + 17*m**3/30 - 3*m**2/5 - 2*m + 3. Find w such that q(w) = 0.
2/3, 1, 3
Let b(a) = 4*a**2 + 8*a + 4. Suppose 2*j - 5*j - 30 = -3*g, -10 = -5*g. Let v(s) = -6*s**2 - 12*s - 6. Let h(u) = j*b(u) - 5*v(u). Determine d so that h(d) = 0.
-1
Let d(o) be the third derivative of o**10/252000 - o**8/16800 + o**6/1200 + o**5/15 + o**2. Let z(l) be the third derivative of d(l). Factor z(y).
3*(y - 1)**2*(y + 1)**2/5
Let 88 - 25*n**2 - 21*n**3 - 485*n**2 + 200 - 138 + 381*n = 0. What is n?
-25, -2/7, 1
Let i(j) be the second derivative of -j**5/90 - 5*j**4/54 - 4*j**3/27 + 19*j. Solve i(y) = 0.
-4, -1, 0
Suppose 2*u + 3*r = r, 0 = 2*u + r - 2. Suppose -6 = -u*m - 2. Factor 23 + 18 + 2*t**m - 9 - 16*t.
2*(t - 4)**2
Suppose 4*s - n = 6*s - 205, 5*s - 496 = 3*n. Factor -128*v**5 + 80*v + 72*v**3 + 136*v**2 - 23*v**4 - 4*v**4 + 16 + s*v**5.
-(v - 2)*(v + 1)*(3*v + 2)**3
Let r = 27 - 16. Let s be (-5)/(-21) + r/33. Find t, given that -2/7 + 0*t + 6/7*t**2 - s*t**3 = 0.
-1/2, 1
Let p(x) = 3*x**4 - 8*x**3 - 6*x**2 + x - 4. Let n = -32 - -29. Let g(o) = -o - 1. Let l(m) = n*p(m) + 21*g(m). Let l(j) = 0. What is j?
-1, -1/3, 1, 3
Let m(q) be the third derivative of -16*q**2 + 0 - 1/270*q**5 + 0*q**3 - 1/108*q**4 + 0*q. Factor m(j).
-2*j*(j + 1)/9
Let q(s) be the second derivative of s**4/60 - s**3/30 - 172*s. Factor q(f).
f*(f - 1)/5
Let d(q) be the second derivative of q**5/40 - q**4/4 + 3*q**3/4 + q + 1. Factor d(l).
l*(l - 3)**2/2
Let j(r) = r**5 + r**4 + r**3 - r**2 - r + 1. Let o(i) = -4*i + 6*i**4 - 5*i**2 - i + 8*i**5 - i**3 + 5 - 4*i**4. Let h(f) = 5*j(f) - o(f). Factor h(l).
-3*l**3*(l - 2)*(l + 1)
Let h(f) be the first derivative of f**5/5 - 3*f**4/2 + 7*f**3/3 + 3*f**2 - 8*f - 103. What is u in h(u) = 0?
-1, 1, 2, 4
Let d(k) be the first derivative of k**4/2 - 30*k**3 + 528*k**2 - 968*k + 63. Factor d(z).
2*(z - 22)**2*(z - 1)
Suppose 2/5*p**2 + 0 - 10*p = 0. Calculate p.
0, 25
Factor -5*n**4 - 3*n**4 + 4*n**3 - 20*n**3 - 16*n**2 + 4*n**5 - 12*n**3.
4*n**2*(n - 4)*(n + 1)**2
Let u be ((-108)/63)/(2/(-7)). Suppose -4*h = -u*h. Factor -2*q**3 + 4*q**2 + h*q**4 - 7*q**3 + 3*q**3 + 2*q**4.
2*q**2*(q - 2)*(q - 1)
Factor -5*g**4 + 13*g**2 + 2*g**5 - 12*g**3 + 6 + 8*g - 30*g + 3*g**4 + 15*g**2.
2*(g - 1)**4*(g + 3)
Let g = 60606 + -60574. What is b in -1/2*b**2 - g - 8*b = 0?
-8
Let m = -1756/7 - -22996/91. Determine w so that 96/13*w - m*w**2 - 128/13 + 2/13*w**3 = 0.
4
Factor 216/5 + 6/5*o**2 + 222/5*o.
6*(o + 1)*(o + 36)/5
Let v = 1111 - 1103. Let h(f) be the first derivative of 9/14*f**4 + 4/21*f**3 + 0*f**2 - v + 8/35*f**5 + 0*f. Determine j, given that h(j) = 0.
-2, -1/4, 0
Solve 9/5*f**4 + 33/5*f**3 + 18/5*f**2 - 24/5 - 36/5*f = 0.
-2, -2/3, 1
Suppose 517*b - 60 = 513*b. Let k(j) = -j**2 + 15*j + 5. Let w be k(b). Find a such that 0*a - 5/2*a**3 - 1/2*a**4 + 0 - 3/2*a**2 + 1/2*a**w = 0.
-1, 0, 3
Let a(b) be the second derivative of -b**8/7560 + b**7/1890 - b**6/1620 - 2*b**3/3 + b. Let o(u) be the second derivative of a(u). Let o(l) = 0. What is l?
0, 1
Let y(a) be the third derivative of -3*a**5/80 - 29*a**4/96 - a**3/4 - 6*a**2 - 12*a. Factor y(m).
-(m + 3)*(9*m + 2)/4
Let h(y) = -3*y**3 - 9*y**2 + 11*y. Let c be h(-4). Factor 0 - 32/7*r + 2/7*r**c - 18/7*r**3 + 48/7*r**2.
2*r*(r - 4)**2*(r - 1)/7
Let p(r) = r**3 + r**2 + 2*r - 1. Let u(j) = 4*j**3 + 6*j**2 - 36*j + 46. Let l(b) = 2*p(b) - u(b). Factor l(a).
-2*(a - 2)**2*(a + 6)
Let p(r) = -r**3 + 47*r**2 + r - 17. Let o(b) = 12*b**2 - 4. Let z(n) = -15*o(n) + 4*p(n). Let z(h) = 0. What is h?
-1, 1, 2
Let a(f) be the first derivative of 2*f**6/105 + 2*f**5/35 + f**4/21 + 37*f + 20. Let t(l) be the first derivative of a(l). Find k, given that t(k) = 0.
-1, 0
Let m(h) be the second derivative of h**7/1260 - h**6/540 - h**5/90 - 