2 - 2/3*g + 0 + g**3.
g*(g - 2)*(3*g + 1)/3
Let v be -4 - (-21)/(12/4). Factor 2*u**v + 25*u + u**3 - 10*u - 6 - 12*u**2.
3*(u - 2)*(u - 1)**2
Let i(j) be the third derivative of 0*j**4 - 1/504*j**8 + 0*j**3 + 0*j + 0 - 1/105*j**7 - 1/60*j**6 - 3*j**2 - 1/90*j**5. Factor i(s).
-2*s**2*(s + 1)**3/3
Let z(j) = -7*j**2 + 4*j + 3. Let h(c) = 7*c**2 - 4*c - 3. Let u(k) = -4*h(k) - 3*z(k). Factor u(s).
-(s - 1)*(7*s + 3)
Let q be (-649)/(-44) + 1/4. Determine h so that -h**4 - 8*h**4 + q*h**3 - 2*h**2 - h**2 - 3*h**3 = 0.
0, 1/3, 1
Let c = -6 - 4. Let h be (6/(-20))/(12/c). Suppose 0 - 1/4*f**4 + 1/4*f**2 + 1/4*f**3 - h*f = 0. Calculate f.
-1, 0, 1
Let t(i) = -5*i - 33. Let p be t(-7). Suppose -1/2 - 1/2*q**4 + q**p + 0*q + 0*q**3 = 0. Calculate q.
-1, 1
Suppose 0 = -10*g + 6*g. Factor -6*r - 3*r**2 + g*r**2 + r**2 + 8*r.
-2*r*(r - 1)
Let b(p) be the first derivative of p**4/18 + 2*p**3/27 - 5*p**2/9 + 2*p/3 - 12. Factor b(y).
2*(y - 1)**2*(y + 3)/9
Factor 1/6*c**4 - 1/3*c**2 + 1/6*c**3 + 0*c + 0.
c**2*(c - 1)*(c + 2)/6
Let u(g) be the third derivative of -1/840*g**7 + 0*g**4 - 2*g**2 - 1/24*g**3 + 0*g + 0 + 0*g**6 + 1/120*g**5. Factor u(r).
-(r - 1)**2*(r + 1)**2/4
Let m(w) be the third derivative of 1/18*w**3 + 1/1260*w**7 + 0*w + 0 + 1/144*w**6 + 5*w**2 + 1/40*w**5 + 7/144*w**4. Determine l, given that m(l) = 0.
-2, -1
Let t(z) be the third derivative of z**6/720 - z**5/40 + 3*z**4/16 - 5*z**3/6 + 5*z**2. Let n(i) be the first derivative of t(i). Factor n(g).
(g - 3)**2/2
Let d = 3 + 1. Suppose d*l + 0 + 4 = 4*m, l = -3*m - 1. Factor m*h**2 + 1/4*h**3 + 0 - 1/4*h.
h*(h - 1)*(h + 1)/4
Let k(b) = b**2 + b. Let c(z) = 4*z**2 + 2*z + 4. Let p(h) = -c(h) + 5*k(h). Let y(v) = v - 1. Let g(l) = -p(l) + 3*y(l). Factor g(t).
-(t - 1)*(t + 1)
Let t(k) be the second derivative of -k**8/112 + k**7/70 + k**6/40 - k**5/20 - k**2 - 5*k. Let a(v) be the first derivative of t(v). Factor a(z).
-3*z**2*(z - 1)**2*(z + 1)
Let z(h) be the second derivative of -h**6/45 + h**5/10 - h**4/9 - 20*h. Suppose z(p) = 0. Calculate p.
0, 1, 2
Suppose 5*k = k - 3*c + 2, -2*k - 3*c - 2 = 0. Suppose -6*u + k*u = -12. Determine b, given that 0*b**2 - 1/4*b**4 + 1/4 - 1/2*b + 1/2*b**u = 0.
-1, 1
Factor 3*q**3 + 3703*q**2 - 72 - q**3 - 3699*q**2 - 30*q.
2*(q - 4)*(q + 3)**2
Let t be (50/(-20))/(3/(-6)). Let d(k) be the first derivative of 2/35*k**t - 1 + 0*k**2 + 0*k + 0*k**3 + 1/14*k**4. Factor d(r).
2*r**3*(r + 1)/7
Let l(q) be the first derivative of q**4/60 + q**3/15 + q**2/10 + q + 8. Let p(a) be the first derivative of l(a). Factor p(m).
(m + 1)**2/5
Let s(h) be the first derivative of -2*h**5/65 + 2*h**3/39 + 41. Factor s(p).
-2*p**2*(p - 1)*(p + 1)/13
Let j be (-6)/(-12) + 11/(-2). Let l be 0 - (3 - (-17)/j). Factor 0 + 2/5*p**2 + l*p.
2*p*(p + 1)/5
Let f(n) be the second derivative of n**7/420 - n**6/90 + n**5/60 - n**4/3 + 5*n. Let p(s) be the third derivative of f(s). Factor p(b).
2*(b - 1)*(3*b - 1)
Let p(n) be the third derivative of n**5/12 + 5*n**4 + 120*n**3 - 26*n**2. Factor p(a).
5*(a + 12)**2
Suppose -10/3*n + 4/3*n**4 - 8/3*n**2 - 10/3*n**5 + 20/3*n**3 + 4/3 = 0. What is n?
-1, 2/5, 1
Determine m so that 3/5*m**4 + 6/5*m + 3*m**2 + 12/5*m**3 + 0 = 0.
-2, -1, 0
Find k such that 9/5*k**2 + 24/5 - 3/5*k**4 - 42/5*k + 12/5*k**3 = 0.
-2, 1, 4
Let n(p) be the second derivative of p**6/900 - p**5/100 + p**4/30 + p**3 - 5*p. Let h(o) be the second derivative of n(o). Find d such that h(d) = 0.
1, 2
Suppose -m + 0*o = 5*o + 31, 2*o = 4*m + 36. Let y = -9 - m. Find v, given that 0 - 1/3*v**y + 0*v = 0.
0
Let z = 2585/9 - 287. Factor -z*t**3 - 2/9*t**2 + 0*t + 0.
-2*t**2*(t + 1)/9
Let d(v) be the second derivative of -v**4/4 + v**3/2 + 3*v**2 + 37*v. Solve d(m) = 0.
-1, 2
Let 17/2*p + 7/2*p**3 + 3 + 17/2*p**2 + 1/2*p**4 = 0. Calculate p.
-3, -2, -1
Let -70/9*t - 2/9*t**3 - 22/9*t**2 - 50/9 = 0. Calculate t.
-5, -1
Suppose -2*n + 10 = w, 2*n = 2*w - 3*n + 7. What is j in 5/4*j**2 - 9/4*j**w - 3/2*j**3 + 0 + 1/2*j = 0?
-1, -1/3, 0, 2/3
Let f(b) be the third derivative of b**5/15 + b**4/6 - 4*b**2. Let f(a) = 0. What is a?
-1, 0
Let c(t) be the third derivative of t**8/23520 + t**7/2205 + t**6/504 + t**5/210 - t**4/12 + t**2. Let s(g) be the second derivative of c(g). Solve s(f) = 0.
-2, -1
Let v(k) be the second derivative of -k**7/420 + k**6/240 + k**4/2 + 5*k. Let q(y) be the third derivative of v(y). Factor q(t).
-3*t*(2*t - 1)
Let r(z) = z**5 + 3*z**4 + 9*z**3 + 8*z**2 - 3. Let p(g) = -2*g**5 - 7*g**4 - 19*g**3 - 16*g**2 + 5. Let v(o) = 3*p(o) + 5*r(o). Factor v(k).
-k**2*(k + 2)**3
Find d, given that 8*d**3 - 10*d**4 + 5*d**4 + 4 - 8*d + d**4 = 0.
-1, 1
Let k(w) = 2*w + 3. Let g be k(-3). Let c(t) = -2*t**2 - 7*t + 1. Let a(p) = -6*p**2 - 20*p + 2. Let l(h) = g*a(h) + 8*c(h). Factor l(u).
2*(u + 1)**2
Suppose 2*i + 0 + 2 = 0. Let y be i/(-1) + (-3 - -4). Factor 3*t**2 - 4 - 5*t**2 + 2 + 6*t - y*t.
-2*(t - 1)**2
Let 27/2*l**2 + 3/4*l**4 + 6 - 15*l - 21/4*l**3 = 0. What is l?
1, 2
Factor 3/5*n**2 + 0*n - 12/5.
3*(n - 2)*(n + 2)/5
Let t be (-4 + (-49)/(-14))*(-2 + 2). Factor 0*g**2 + t*g + 1/3*g**4 + 0 - 1/3*g**3.
g**3*(g - 1)/3
Let h(a) = 7*a**3 + a**2 - a + 5. Let p = -9 + 3. Let f(q) = 15*q**3 + 2*q**2 - 2*q + 11. Let m(c) = p*f(c) + 13*h(c). Factor m(b).
(b - 1)*(b + 1)**2
Find a, given that -51 + 36*a**2 + 9 + 64*a + 11 + 15 = 0.
-2, 2/9
Let x = 2/451 + 3594/3157. Suppose 2*b = 3*n + 7, 2*b - 1 = -0*b + 5*n. Suppose -x - b*s**3 + 8*s - 90/7*s**2 + 14*s**4 = 0. Calculate s.
-1, 2/7, 1
Suppose -n + 1 = -0*n. Let w = 1 + n. Find r such that 0*r**2 - r + w*r**2 + r**3 + 2*r = 0.
-1, 0
Let k be -2 - (-4 + -4)*3/9. Let 0 - 4/3*d**2 + k*d + 4/3*d**4 + 2*d**5 - 8/3*d**3 = 0. What is d?
-1, 0, 1/3, 1
Let x(f) = -f**3 - 6*f**2 + 2. Let q be x(-6). Factor 3*z + 19*z**2 - 3*z**3 - 19*z**q.
-3*z*(z - 1)*(z + 1)
Let y(p) be the third derivative of p**6/36 - p**5/5 + p**4/3 - 7*p**3/6 - 5*p**2. Let d(r) be the first derivative of y(r). Solve d(b) = 0 for b.
2/5, 2
Let f(g) be the second derivative of -g**7/168 - g**6/30 + g**5/10 + 7*g**4/12 - 6*g. Let y(i) be the third derivative of f(i). Determine t so that y(t) = 0.
-2, 2/5
Suppose 4*o + 6*o = 30. Factor 3/2*a**2 + 0 - o*a.
3*a*(a - 2)/2
Let h(j) be the third derivative of j**5/330 - 5*j**4/66 + 3*j**3/11 - j**2 + 7. Suppose h(f) = 0. What is f?
1, 9
Let o(p) be the second derivative of 0*p**2 + 2/3*p**3 + 0 + 1/6*p**4 - 2*p. Factor o(u).
2*u*(u + 2)
Let u(t) be the third derivative of t**8/336 - t**7/210 - t**6/120 + t**5/60 + t**2 + 49. Factor u(i).
i**2*(i - 1)**2*(i + 1)
Let l(s) = -45*s + 192. Let u(m) = -m**2 + m. Let w(h) = l(h) - 3*u(h). Determine n so that w(n) = 0.
8
Let y(z) be the first derivative of 3*z**5/5 - 3*z**4/2 - z**3 + 3*z**2 - 6. Factor y(r).
3*r*(r - 2)*(r - 1)*(r + 1)
Let y(x) be the third derivative of x**7/315 - x**6/180 - x**5/90 + x**4/36 - x**2. Determine t so that y(t) = 0.
-1, 0, 1
Let m be (12/27)/(4/6). Suppose 40*w + 41*w = 83*w. Factor m*f**5 + 0*f**2 + 0*f + 2/3*f**3 - 4/3*f**4 + w.
2*f**3*(f - 1)**2/3
Factor 0 - 4/5*g + 2/5*g**3 + 2/5*g**2.
2*g*(g - 1)*(g + 2)/5
Let i(j) = -9*j**3 + 2*j**2 + j. Let c be i(-1). Suppose 4*b + 4 = 6*b. Solve -3*o - c*o**2 + 2*o**3 + 11*o - 2 + b*o**3 = 0.
1/2, 1
Suppose -3*h - 10 = -4*h. Let 12*t - 2 + 6 + h - 2 + 3*t**2 = 0. Calculate t.
-2
Suppose 57 = -5*l - 168. Let w = l + 137/3. Factor -2/3*g**3 - w*g**2 + 2/3*g**5 + 2/3*g**4 + 0 + 0*g.
2*g**2*(g - 1)*(g + 1)**2/3
Factor 48*f - 20*f + 2*f**2 - 20*f - 10.
2*(f - 1)*(f + 5)
Factor 0*j - 25/3*j**3 + 0 - 10/3*j**2.
-5*j**2*(5*j + 2)/3
Let u = -89 + 89. Find s, given that 1/2*s**4 + u*s - s**3 + 1/2*s**2 + 0 = 0.
0, 1
Let m(i) be the second derivative of -i**6/75 + 3*i**5/50 - i - 8. Solve m(c) = 0.
0, 3
Let t = 73/366 + -2/61. Factor 0 + 1/6*p - t*p**2.
-p*(p - 1)/6
Let y(a) be the second derivative of a + 0*a**5 + 1/24*a**4 + 1/3*a**3 + 0*a**2 + 0 - 1/360*a**6. Let n(l) be the second derivative of y(l). Factor n(j).
-(j - 1)*(j + 1)
Let x(y) be the second derivative of -y**5/70 + y**4/42 + y**3/21 - y**2/7 - 3*y. Factor x(b).
-2*(b - 1)**2*(b + 1)/7
Let j(d) be the third derivative of d**6/144 - 5*d**4/48 + 5*d**3/18 - 44*d**2. Factor j(y).
5*(y - 1)**2*(y + 2)/6
Let d(s) be the second derivative of -s**5