 f, given that -s*f + 2/5*f**h + 2/5 = 0.
1
Let c(k) be the third derivative of -k**8/5040 + k**7/630 - k**6/216 + k**5/180 - 5*k**3/6 + k**2. Let t(h) be the first derivative of c(h). Factor t(a).
-a*(a - 2)*(a - 1)**2/3
Suppose 3 - 8 = -m. Let d(q) be the first derivative of 1/20*q**m + 1/4*q**3 + 1/8*q**2 + 3/16*q**4 + 0*q + 3. Solve d(h) = 0.
-1, 0
Let m(n) be the second derivative of -n**5/5 + n**4 + 8*n. Let m(l) = 0. What is l?
0, 3
Factor -z - 3*z - z**2 + 6*z + 4*z**4 - 3*z**2 - 2*z**5.
-2*z*(z - 1)**3*(z + 1)
Let t(x) be the second derivative of x**4/16 + 3*x**3/4 + 15*x**2/8 - 3*x. Factor t(g).
3*(g + 1)*(g + 5)/4
Let h(f) be the second derivative of f**6/300 + f**5/30 + f**4/20 - 3*f**3/5 - 5*f**2/2 + 2*f. Let m(z) be the first derivative of h(z). Factor m(p).
2*(p - 1)*(p + 3)**2/5
Suppose 5*a = 12 + 3. Let s(r) = -r + 1. Suppose 8 = -4*k + 4. Let v(c) = -c**3 + c**2 - 2*c + 2. Let g(i) = a*s(i) + k*v(i). Suppose g(o) = 0. What is o?
-1, 1
Let y(x) be the third derivative of x**8/84 - 2*x**7/35 + x**6/15 - 5*x**2. Suppose y(a) = 0. What is a?
0, 1, 2
Let p(c) be the third derivative of 0*c - 3/4*c**4 + 0 - 9/2*c**3 - 1/20*c**5 - 3*c**2. Factor p(q).
-3*(q + 3)**2
Let 27/2 + 207/4*z + 33/4*z**2 - 99/4*z**3 + 21/4*z**4 = 0. What is z?
-1, -2/7, 3
Suppose 0 = -2*f + 13 + 5. Find z such that z**4 - 1 - 6*z**3 + f*z**3 - 2*z - z**3 = 0.
-1, 1
Solve 5*b**3 + 3*b**2 + 623*b - 39*b**2 - 591*b - b**3 = 0 for b.
0, 1, 8
Let i(k) be the second derivative of k**4/24 - k**3/3 + k**2 - 12*k. Factor i(s).
(s - 2)**2/2
Let j be 36/4 + -2 + 1. Factor 2*u + j*u - 6*u**2 - 3*u**3 - u.
-3*u*(u - 1)*(u + 3)
Suppose -1/7*s**4 - 9/7*s**2 - 2/7 + s + 5/7*s**3 = 0. What is s?
1, 2
Factor 3/8*q + 1/4 - 15/8*q**3 - 7/4*q**2.
-(q + 1)*(3*q + 1)*(5*q - 2)/8
Suppose -2*g + 14 = 5*b, 0 = -2*b - g - 2 + 8. Find j such that 3*j + b*j**2 + 1 - 4*j**2 - 5*j + j + j**4 - j**5 + 2*j**3 = 0.
-1, 1
Factor -3/4*p**2 - 3/4 + 3/2*p.
-3*(p - 1)**2/4
Let g be 6/(-4)*1*-2. Factor 0 + 1/2*u**5 + 5/4*u**4 + u**g + 0*u + 1/4*u**2.
u**2*(u + 1)**2*(2*u + 1)/4
Let u = 29 - 27. Let i(k) be the first derivative of 4/33*k**3 - 4/55*k**5 + 0*k + 0*k**4 - 2 + 1/11*k**u - 1/33*k**6. What is d in i(d) = 0?
-1, 0, 1
Determine a, given that -10*a**3 - 281*a + 281*a + 5*a**5 + 5*a**4 = 0.
-2, 0, 1
Let k(x) = 2*x**4 + 8*x**3 + 3*x**2 - x - 2. Let w(u) = u**4 + u**2 + u + 1. Let c(p) = -k(p) - 2*w(p). Factor c(s).
-s*(s + 1)*(2*s + 1)**2
Let x(p) = -p + 2. Let f(r) = -r**3 - 4*r**2 + 6*r + 3. Let b be f(-5). Let t be x(b). Find s such that 1/3*s**t + 1/3*s - 1/3*s**3 + 0 - 1/3*s**2 = 0.
-1, 0, 1
Let h(d) be the second derivative of -d**10/181440 + d**9/90720 + d**8/40320 - d**7/15120 + d**4/6 - d. Let y(s) be the third derivative of h(s). Factor y(z).
-z**2*(z - 1)**2*(z + 1)/6
Let l be 2 - -22*4/(-48). Let x(p) be the first derivative of -8/9*p**3 + 0*p - 4/3*p**2 + 3 - l*p**4. Solve x(c) = 0.
-2, 0
Let x be (2/(-6))/((-6)/4). Let n(z) = z**3 + z**2 - 3*z - 2. Let i be n(-2). Find y such that -x*y**2 + i*y + 2/9 = 0.
-1, 1
Solve 9*x - 17 + 8 - 7 + 4 + 3*x**2 = 0.
-4, 1
Let g(s) = 3*s**4 - 33*s**3 + 3*s**2 - 9. Let r(h) = -h**4 + 8*h**3 - h**2 + 2. Let x(o) = -2*g(o) - 9*r(o). Find d such that x(d) = 0.
0, 1
What is m in 6*m**3 + 8*m**2 - 15*m**2 + 4*m**3 + 2*m**2 - 5*m**4 = 0?
0, 1
Let n(t) be the second derivative of 1/42*t**4 + 3*t + 0*t**3 + 0*t**2 + 1/35*t**6 + 3/70*t**5 + 1/147*t**7 + 0. Solve n(c) = 0.
-1, 0
Let b(j) = 36*j**3 - 21*j**2 + 15*j - 15. Let x(k) = -5*k**3 + 3*k**2 - 2*k + 2. Let s(n) = -2*b(n) - 15*x(n). Factor s(h).
3*h**2*(h - 1)
Let m be 1/3*(2 + (-5)/5). Factor 0 + m*j - 1/3*j**2.
-j*(j - 1)/3
Let g(h) be the first derivative of 3*h**5/5 + 3*h**4 + 5*h**3 + 3*h**2 - 15. Factor g(z).
3*z*(z + 1)**2*(z + 2)
Let x be ((-8)/(-5))/((-2)/10). Let b = x + 17/2. Factor b*o**2 + 0 - 1/4*o - 1/4*o**3.
-o*(o - 1)**2/4
Factor 0*u**3 + 0 - 2/7*u**5 + 0*u + 8/7*u**2 - 6/7*u**4.
-2*u**2*(u - 1)*(u + 2)**2/7
Suppose 6*n**3 - 12*n**2 - 3*n**3 - 96 - 18*n**2 + 96*n = 0. What is n?
2, 4
Let t = 4 + -4. Suppose -x - 5*g + 2 + 18 = 0, x - 2*g + 1 = t. Determine l, given that 4/9 + 34/9*l + 18*l**x - 28/3*l**3 - 20*l**4 + 64/9*l**2 = 0.
-1/3, -2/9, 1
Let g(v) = -v + 4. Let f be g(15). Let t = f + 15. Factor 0*b + 4/3*b**3 + 0*b**2 + 2/3*b**t + 0.
2*b**3*(b + 2)/3
Let o be (-4)/8 - (-2 + 1). Let h be (-21)/6 + 2 + 2. Factor -1 + h*s**3 - o*s + s**2.
(s - 1)*(s + 1)*(s + 2)/2
Let c(q) be the third derivative of -q**5/80 - 17*q**4/96 - 5*q**3/12 + 22*q**2. Determine s so that c(s) = 0.
-5, -2/3
Let x(q) = -q**2 + q + 1. Let s(k) = 3*k**2 - 5*k**2 + 1 - 2 - 2*k. Suppose -3*t - t = 8. Let w(b) = t*x(b) + 2*s(b). Determine f, given that w(f) = 0.
-2, -1
Suppose -5*l = 5 + 5. Let s be l*(-60)/(-32) + 4. Factor 3/2*p**3 + 1/4*p**5 - p**4 + s*p - p**2 + 0.
p*(p - 1)**4/4
Factor 35/8*w**3 + 1/2 - w - 31/8*w**2.
(w - 1)*(5*w + 2)*(7*w - 2)/8
Suppose 3*k - 3*c + 11 = 7*k, -3*k + 11 = 5*c. Find q, given that k*q**2 - q**5 + q**5 + q**5 - 5*q**4 + 3*q**4 - q = 0.
-1, 0, 1
Let f(j) be the second derivative of 0*j**3 - 6*j + 0 - 1/30*j**4 + 1/5*j**2. Factor f(d).
-2*(d - 1)*(d + 1)/5
Let c(a) be the second derivative of 0 + 2*a + 0*a**5 + 0*a**3 + 0*a**2 + 0*a**4 - 2/45*a**6 - 1/63*a**7. Let c(p) = 0. Calculate p.
-2, 0
Let o(z) be the first derivative of 4*z**3/3 - 10*z**2 - 22. Factor o(d).
4*d*(d - 5)
Let c(o) = 5*o**3 + 3*o**2 - 8. Let d(n) = -3*n**3 - 2*n**2 + 5. Let i(p) = -5*c(p) - 8*d(p). Factor i(h).
-h**2*(h - 1)
Let z be ((-3)/2)/(3/6). Let f be z/(-9)*10 - 2. Suppose x**3 - 1/3*x - 2/3 + f*x**2 = 0. Calculate x.
-1, 2/3
Let -1/2 - 9/4*w**3 - 7/2*w**2 - 9/4*w - 1/2*w**4 = 0. Calculate w.
-2, -1, -1/2
Let c(o) be the first derivative of -o**5 + 5*o**4/4 + 20*o**3/3 - 10*o**2 + 13. Suppose c(l) = 0. What is l?
-2, 0, 1, 2
Let q(j) = j**3 - 9*j**2 + 9*j - 5. Let p be q(8). Let 0 - 1 - p*y**2 - 4*y - 1 + y**2 = 0. Calculate y.
-1
Let n be -3 - -4 - 1*3. Let x = 2 - n. Factor x*c**4 + 3*c**4 - 4*c**3 - 5*c**4 + 0*c**2 + 2*c**2.
2*c**2*(c - 1)**2
Let b(g) be the third derivative of g**6/60 - g**5/15 - g**4/3 + 8*g**3/3 + 2*g**2. Solve b(h) = 0.
-2, 2
Factor -3*y**2 + 20*y**3 - 6*y**2 + 16*y - 23*y**2 - 4*y**4.
-4*y*(y - 2)**2*(y - 1)
Factor -2/13*z**2 - 4/13 - 6/13*z.
-2*(z + 1)*(z + 2)/13
Let f(z) be the second derivative of z**4/20 - 4*z**3/5 + 24*z**2/5 + 11*z. Factor f(i).
3*(i - 4)**2/5
Let c(w) be the first derivative of 14/45*w**5 + 8/9*w + 3 - 1/27*w**6 - 16/9*w**2 - 19/18*w**4 + 50/27*w**3. What is q in c(q) = 0?
1, 2
Let c(j) be the first derivative of 3*j**5/5 + 7*j**4/4 + 5*j**3/3 + j**2/2 + 25. Solve c(l) = 0 for l.
-1, -1/3, 0
Let l(p) be the first derivative of 1/10*p**5 + 0*p + 0*p**4 + 0*p**2 - 1/6*p**3 - 3. Solve l(m) = 0 for m.
-1, 0, 1
Let n(f) = 5*f**2 + 26*f + 8. Let t(o) = 3*o**2 + 17*o + 5. Let r(a) = -5*n(a) + 8*t(a). Suppose r(w) = 0. Calculate w.
0, 6
Let l be (-12)/42 + (-5)/7. Let m be 14/21*(-3)/l. Factor q**2 + 4 - 2*q - m*q + 8*q.
(q + 2)**2
Let l be ((-15)/63)/((-205)/738). Factor -2/7*j**4 + 0*j + 0 + l*j**3 - 4/7*j**2.
-2*j**2*(j - 2)*(j - 1)/7
Let b(h) be the first derivative of h**6/1080 - h**5/180 + h**4/72 + 4*h**3/3 + 4. Let a(n) be the third derivative of b(n). Factor a(k).
(k - 1)**2/3
Find h, given that -3/4*h**2 - 7/4*h**3 + h + 0 = 0.
-1, 0, 4/7
Let z(b) be the second derivative of -b**4/48 + b**3/12 - b**2/8 - 8*b. Factor z(x).
-(x - 1)**2/4
Suppose -5 + 32 = 9*t. Factor 3/5 - 3/5*r**t + 3/5*r - 3/5*r**2.
-3*(r - 1)*(r + 1)**2/5
Let o = -682 - -163681/240. Let j(k) be the third derivative of o*k**5 + 0 + 1/48*k**4 + 0*k + 1/24*k**3 - 2*k**2. What is x in j(x) = 0?
-1
Let b(k) be the first derivative of 3 - 1/12*k**3 + 0*k**2 + 2*k - 1/60*k**6 - 1/8*k**4 - 3/40*k**5. Let q(m) be the first derivative of b(m). Factor q(g).
-g*(g + 1)**3/2
Let l(s) be the second derivative of -s**8/448 - 3*s**7/280 - 3*s**6/160 - s**5/80 - s**2/2 - 2*s. Let k(d) be the first derivative of l(d). Factor k(p).
-3*p**2*(p + 1)**3/4
Let n(a) be the second derivative of a**7/252 + a**6/180 - a**5/20 - 7*a**4/36 - 11*a**3/36 - a**2/4 - 14*a. Factor n(j).
(j - 3)*(j + 1)**4/6
Suppose 0 = -11*g - 41 + 41. Find l, given that 0 + g*l - 2/3*l**4 + 2*l**3 - 4/3*l**2 = 0.
0, 1, 2
Let 