d**4/4 - 15*d**3 - 75*d**2/2 + 125*d + 7. Factor x(n).
-5*(n - 1)*(n + 5)**2
Let b(g) be the third derivative of -g**8/3024 + g**6/270 + g**5/270 - g**4/72 - g**3/27 + 20*g**2. Factor b(t).
-(t - 2)*(t - 1)*(t + 1)**3/9
Let i be ((-2)/(-5))/((-1)/(-5)). Let v(x) be the third derivative of 2*x**i + 0 + 0*x + 1/3*x**3 + 1/6*x**4 + 1/30*x**5. Factor v(m).
2*(m + 1)**2
Let d = 11/5 + -39/20. Let x(v) be the first derivative of 2*v + d*v**4 - 5/2*v**2 - 1 - 1/5*v**5 + v**3. Factor x(g).
-(g - 1)**3*(g + 2)
Suppose -102/5*k + 3/5*k**2 + 867/5 = 0. What is k?
17
Let i(k) be the third derivative of -13*k**6/300 + 14*k**5/75 - k**4/15 - 15*k**2 - 2. Suppose i(p) = 0. What is p?
0, 2/13, 2
Let h(l) be the second derivative of -l**7/70 + 9*l**6/50 - 9*l**5/20 - 5*l**4/4 - 9*l. Let h(a) = 0. What is a?
-1, 0, 5
Let c(l) = l**2 - 4*l + 7. Let k be -1 + 1/1*4. Let x(o) = 4*o**2 + 6 - k*o + 0 - 3*o**2. Let h(i) = 5*c(i) - 6*x(i). Factor h(y).
-(y + 1)**2
Factor 0*f - 4/9*f**2 + 2/9*f**4 + 2/9 + 0*f**3.
2*(f - 1)**2*(f + 1)**2/9
Let d(q) = -q**4. Let o(r) = -6*r**4 + 3*r**3 + 2*r**2. Let s(m) = -28*d(m) + 4*o(m). Factor s(n).
4*n**2*(n + 1)*(n + 2)
Let z be 8/(-8) + 1 + 1. Let b(o) be the first derivative of 1/3*o**3 - 1/6*o**2 + 1/15*o**5 + z - 1/4*o**4 + 0*o. Find m such that b(m) = 0.
0, 1
Let d = 1/714 + 2845/7854. Find h such that 0*h - 2/11*h**4 + 0 - d*h**3 + 0*h**2 = 0.
-2, 0
Let g(p) = -34*p**2 - 6*p - 2. Let o(f) = 69*f**2 + 12*f + 3. Let t(u) = -11*g(u) - 6*o(u). Factor t(i).
-2*(4*i - 1)*(5*i + 2)
Let v = 1588 + 2284. What is g in -2662*g**5 - 20*g**3 + 231*g**2 - 146*g - 2*g**3 - 16 - 1171*g**2 + v*g**4 - 86*g = 0?
-2/11, 1
Let y(a) be the third derivative of a**7/245 + a**6/210 - a**5/210 - 6*a**2. Factor y(p).
2*p**2*(p + 1)*(3*p - 1)/7
Suppose 0 = -3*y - y + 48. Suppose 0*q = -3*q + y. Suppose -r**2 - 2*r**3 - r**2 + q*r - 2*r**3 + 2*r**4 = 0. What is r?
-1, 0, 1, 2
Let u(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 3*y**5/5 - 5*y**4/3 - 4*y**3/3 + y. Let u(g) = 0. What is g?
-1, 0, 2
Let c(g) be the third derivative of -5/84*g**8 + 0*g**3 + 0*g**5 + 4*g**2 + 0*g - 1/15*g**6 + 2/15*g**7 + 0*g**4 + 0. What is u in c(u) = 0?
0, 2/5, 1
Let v be (327/6 - 2) + 0. Let u = v + -50. Factor 2*y**2 + 1/2*y**3 + 1 + u*y.
(y + 1)**2*(y + 2)/2
Let t be (-88)/(-36) - (-1)/(2/(-4)). Factor 0 + t*s**2 - 2/9*s**3 - 2/9*s.
-2*s*(s - 1)**2/9
Let m = 15 - 13. Suppose m*a - 4 - 3*a + 2 + a**2 = 0. Calculate a.
-1, 2
Let g(h) be the second derivative of h**4/6 + h**3 + 2*h**2 + 41*h. Find z such that g(z) = 0.
-2, -1
Let u(m) be the third derivative of -m**7/2100 + m**3/6 + 4*m**2. Let j(v) be the first derivative of u(v). Factor j(q).
-2*q**3/5
Let y(a) = -a - 3. Let g be y(-6). Suppose -2*w + w + g = 0. Find f, given that -2*f**3 + 1 - 3*f + 3*f**2 + 4*f**w - 3*f**3 = 0.
1
Let w be 84/10 + 2/(-5). Find v, given that -5*v - 16*v**5 + 4*v**2 + 5*v - w*v**3 + 0*v - 28*v**4 = 0.
-1, 0, 1/4
Let a = 90 + -87. Solve 0*o**a + 0*o - 4/3*o**2 + 2/3 + 2/3*o**4 = 0.
-1, 1
Let x = 3587/5 + -715. Solve -2/5*d**2 - x*d - 18/5 = 0 for d.
-3
Suppose -d + l + 4 = 0, 5*l = 3*d - 0*l - 20. What is t in d + 8/3*t**4 + 6*t**3 + 2/3*t + 4*t**2 = 0?
-1, -1/4, 0
Let v(n) be the second derivative of -3*n**5/20 + 3*n**4/4 - 3*n**3/2 + 3*n**2/2 + 4*n. Factor v(d).
-3*(d - 1)**3
Let j = -9/2 + 14/3. Factor 0*i + 0 - j*i**3 + 1/6*i**2.
-i**2*(i - 1)/6
Let k(v) = v + 4. Suppose 5*f - 2*w = -12, -3*f + 2*w = -8*f - 8. Let z be k(f). Factor -1/3*h**z - 2/3*h - 1/3.
-(h + 1)**2/3
Let i be 0/(-6)*2/6. Suppose 0 + 0*p + 2/11*p**5 + 0*p**2 + 0*p**4 + i*p**3 = 0. What is p?
0
Let o = -3 + 4. Let i(q) = 6*q. Let d be i(o). Factor -4*w**2 - w - 6*w**3 - d*w**2 + 2 - w.
-2*(w + 1)**2*(3*w - 1)
Let i(u) be the second derivative of 1/6*u**4 + 0*u**3 + 2*u - u**2 + 0. Factor i(q).
2*(q - 1)*(q + 1)
Let r(f) be the first derivative of -f**3/5 - 10. What is c in r(c) = 0?
0
Let u(s) = -s**2 - 15*s - 10. Let i be u(-14). Let w(a) be the second derivative of 0*a**3 + 0 - 1/90*a**6 + 0*a**i + 2*a + 0*a**2 - 1/60*a**5. Solve w(q) = 0.
-1, 0
Let b(c) be the third derivative of -c**5/20 + 5*c**4/24 - 5*c**3/6 + 2*c**2. Let r(i) = -4*i**2 + 6*i - 6. Let t(k) = -6*b(k) + 5*r(k). Factor t(l).
-2*l**2
Let l(z) = -2*z**2 - 6. Let o = -11 + 2. Let v(j) = -5*j**2 - j - 12. Let c(w) = o*l(w) + 4*v(w). Factor c(a).
-2*(a - 1)*(a + 3)
Let b = -6 + 8. Suppose -10*c - 2*c**2 - c**2 - 4 - 3*c**2 - b*c**2 - 2*c**3 = 0. What is c?
-2, -1
Let a(g) be the third derivative of -g**5/24 + 5*g**3/12 - 6*g**2. Determine s, given that a(s) = 0.
-1, 1
Let i = 387877/138 - 5621/2. Let c = i + 3/23. Factor 1/3 + c*z**3 + z**2 + z.
(z + 1)**3/3
Let j = -2974/55 + 274/5. Suppose 3*t - 1 = -0*t - d, t - 3*d + 3 = 0. Find n such that t - 24/11*n**2 - j*n - 10/11*n**3 = 0.
-2, -2/5, 0
Let u be 12/(-1)*(-2)/2. Let x = u + -2. Suppose -x*o**4 + 8/3*o - 38/3*o**2 - 68/3*o**3 + 8/3 = 0. What is o?
-1, -2/3, 2/5
Find m, given that 0*m + 3/2*m**3 + 1/2*m**4 + 0 + m**2 = 0.
-2, -1, 0
What is u in 2*u + 3*u**2 - 9*u + 12 + u - 6*u = 0?
2
Solve -10/3 + 5*y - 5/3*y**2 = 0.
1, 2
Let n(k) be the second derivative of -2*k**6/25 + 6*k**5/25 + 3*k**4/20 - 7*k**3/10 + 3*k**2/5 - 22*k. Determine m so that n(m) = 0.
-1, 1/2, 2
Let x(f) be the first derivative of -f**7/280 + f**6/120 - f**3/3 + 3. Let t(i) be the third derivative of x(i). Factor t(a).
-3*a**2*(a - 1)
Let c(k) be the second derivative of 2*k - 1/16*k**5 - 1/24*k**3 + 1/4*k**2 - 1/6*k**4 + 0. Factor c(v).
-(v + 1)**2*(5*v - 2)/4
Suppose 9*t - 6*t = 9. Find s, given that -1/2*s**2 + 1/2*s**4 - 1/2*s**5 + 0 + 1/2*s**t + 0*s = 0.
-1, 0, 1
Let x(m) be the second derivative of 0 - 1/30*m**3 + 1/30*m**4 - 1/100*m**5 + 0*m**2 + m. Factor x(u).
-u*(u - 1)**2/5
Let h(o) be the second derivative of -o**7/210 - o**6/300 + 3*o**5/100 + 7*o**4/120 + o**3/30 - 7*o + 1. Suppose h(t) = 0. What is t?
-1, -1/2, 0, 2
Let v(n) = -2*n - 1. Let u be v(-2). Let 9*w + w**3 + 3 + 13*w**2 + 0*w**u + 2*w**3 - 4*w**2 = 0. What is w?
-1
Suppose -3*a + 6 = -3. Determine j so that -j**a + 0*j**3 + 1 + j + 0*j**3 - j**2 = 0.
-1, 1
Let j(c) = c + 11. Let u be j(-9). Suppose 8 = 2*s - 0*s. Factor 2/5*r**5 + 0*r**3 + 4/5*r**s - 4/5*r**u + 0 - 2/5*r.
2*r*(r - 1)*(r + 1)**3/5
Factor -8/11*i - 8/11 - 2/11*i**2.
-2*(i + 2)**2/11
Let v be (-1 - -1)/(9 + -20 + 12). Factor v - 2/17*a**3 + 8/17*a + 6/17*a**2.
-2*a*(a - 4)*(a + 1)/17
Let n(j) be the third derivative of 0 - j**2 + 0*j**4 - 1/105*j**7 + 1/60*j**6 - 1/90*j**5 + 1/504*j**8 + 0*j**3 + 0*j. Factor n(v).
2*v**2*(v - 1)**3/3
Factor q**4 + q**4 - 3*q**2 - q**3 + 3 - q**4 - 1 + q.
(q - 2)*(q - 1)*(q + 1)**2
Factor 1/2*t**2 + 0 + t**3 - 1/2*t**4 - t.
-t*(t - 2)*(t - 1)*(t + 1)/2
Factor -5*j**4 + 0*j**2 + 19*j + 15*j**2 - 9*j.
-5*j*(j - 2)*(j + 1)**2
Let l(k) be the first derivative of k**7/14 + k**6/10 - 3*k**5/10 - k**4/2 + k**3/2 + 3*k**2/2 - 2*k + 8. Let v(n) be the first derivative of l(n). Factor v(w).
3*(w - 1)**2*(w + 1)**3
Factor 1 - 1/3*y**2 + 2/3*y.
-(y - 3)*(y + 1)/3
Let p = 108 - 104. Factor -2/7*r**3 + 2/7*r**p - 2/7*r**2 + 2/7*r + 0.
2*r*(r - 1)**2*(r + 1)/7
Let j(q) = -2*q**3 + 4*q**2 + 2*q - 4. Let w be j(2). Factor 0 + w*f - 2/7*f**3 - 2/7*f**2.
-2*f**2*(f + 1)/7
Factor -5*k**2 + 5*k + 9*k**2 + k + 5*k**2.
3*k*(3*k + 2)
Factor -2/5*z**5 + 0*z + 0 + 0*z**2 - 2/5*z**4 + 0*z**3.
-2*z**4*(z + 1)/5
Factor -8/3*v + 2/3*v**3 + 0 + 32/9*v**2.
2*v*(v + 6)*(3*v - 2)/9
Let n be (1/(-2))/(4/(-16)). Factor -c**3 + c**2 - c**n - c**2.
-c**2*(c + 1)
Let z(o) be the second derivative of -o**2 - 4*o - 1/3*o**3 + 1/10*o**5 + 1/6*o**4 + 0. Factor z(p).
2*(p - 1)*(p + 1)**2
Let s(o) = o**2 + 1. Let v be s(-1). Let m(l) be the first derivative of 1/3*l**2 + v - 2/9*l**3 + 0*l. Suppose m(a) = 0. Calculate a.
0, 1
Let q(l) be the third derivative of l**6/660 + l**5/165 - l**4/33 - 8*l**3/33 - 10*l**2. Factor q(y).
2*(y - 2)*(y + 2)**2/11
Suppose 1 - 9 = -4*x. Determine n so that -27*n**3 - x + 28*n**3 + 1 - 3*n**2 + 3*n = 0.
1
Let k(s) be the second derivative of 0*s**4 + 0*s**2 + 0 - 1/40*s**6 + 7/80*s**5 - 1/6*s**3 - 6*s. Factor k(v).
-v*(v - 2)*(v - 1)*(3*v + 2)/4
Let r(j) be the first derivative of -6*j**6/5 - 141*j**5/25 - 213*j**4/20 - 51*j**3/5 - 51*j**2/10 - 6*j/5 + 27