 - v**6/90 - v**5/60 + v**4/6 + 2*v**3/3 - 5*v**2. Let z(u) be the first derivative of f(u). Factor z(d).
2*(d - 2)*(d - 1)*(d + 1)
Let w(h) = 3*h**2 + 13*h + 3. Let l(p) = p**2 + 4*p + 1. Suppose 4 = 2*m - 2. Suppose -13 - 8 = m*a. Let y(x) = a*l(x) + 2*w(x). Determine c so that y(c) = 0.
-1
Let q be (10/(-4))/(-5)*(25 + -19). Determine h, given that -2*h - 5/2*h**q - 6*h**2 + 0 = 0.
-2, -2/5, 0
Factor 7*q**2 + 2*q + 6*q - 4*q**2 + 4*q**3 + 9*q**2.
4*q*(q + 1)*(q + 2)
Let n be 6/(-2) + (-12)/(-4). Let t = 8 + -4. Find x, given that 1/3*x**2 + 0*x**3 + 0*x + n - 1/3*x**t = 0.
-1, 0, 1
Let c(k) be the first derivative of 1/2*k**2 - 1/3*k**3 + 3 + 0*k. Let c(t) = 0. What is t?
0, 1
Let m(a) = a**2 - a + 1. Suppose -8 = 4*t, -5*c = -3*t - 0 + 14. Let v(i) = -6*i**2 - 6. Let h(k) = c*m(k) - v(k). Factor h(y).
2*(y + 1)**2
Let a = 22 + -22. Let -33*s**3 + 0 - 15*s**2 + a*s - 3*s - 12*s**2 + 3 - 12*s**4 = 0. What is s?
-1, 1/4
Find x, given that 1 - 3 + 8*x**2 + 8*x**2 - 14*x**2 = 0.
-1, 1
Let p(c) be the third derivative of -c**8/112 - c**7/14 - c**6/4 - c**5/2 - 5*c**4/8 - c**3/2 - c**2. Solve p(b) = 0 for b.
-1
Let v(m) be the third derivative of -m**7/10080 + m**6/960 - m**5/240 + m**4/24 - m**2. Let t(b) be the second derivative of v(b). Factor t(u).
-(u - 2)*(u - 1)/4
Factor 26/3*o**2 + 1/6*o**4 + 32/3 - 2*o**3 - 16*o.
(o - 4)**2*(o - 2)**2/6
Let s(l) be the second derivative of l**6/40 - 3*l**5/20 - l**4/16 + l**3/2 + 2*l + 4. Factor s(h).
3*h*(h - 4)*(h - 1)*(h + 1)/4
Suppose -15/4 - 3/4*n + 3/4*n**3 + 15/4*n**2 = 0. What is n?
-5, -1, 1
Let o(w) be the second derivative of -w**5/20 - w**4/12 - 4*w. Find k such that o(k) = 0.
-1, 0
What is f in 6/5*f**3 - 2/5*f**4 - 6/5*f - 2/5*f**2 + 4/5 = 0?
-1, 1, 2
Let c = -539 + 542. Determine q, given that 16/7*q**2 - 4/7*q**c + 0 - 16/7*q = 0.
0, 2
Let t(x) be the first derivative of -x**6/15 + 2*x**5/25 + 3*x**4/10 - 2*x**3/15 - 2*x**2/5 - 39. Find o such that t(o) = 0.
-1, 0, 1, 2
Solve 57*h - 5*h**3 - 70*h**2 - 40 + 17*h**4 - 5*h**5 - 13*h**4 + 16*h**4 + 43*h = 0.
-2, 1, 2
Let k be 4/(-26) + (-201)/(-39). Factor -u - 2*u - 3*u**2 + 15*u**2 - k*u.
4*u*(3*u - 2)
Let c(m) be the second derivative of m**8/3920 + m**7/4410 + 7*m**4/12 - 3*m. Let h(b) be the third derivative of c(b). Determine a, given that h(a) = 0.
-1/3, 0
Find f such that 0*f - 4/13*f**2 + 2/13*f**4 - 2/13*f**3 + 0 = 0.
-1, 0, 2
Let z(x) be the first derivative of -1 - 4/5*x - 3/5*x**2 + 1/10*x**4 + 0*x**3. Factor z(d).
2*(d - 2)*(d + 1)**2/5
Let y(a) be the first derivative of 2*a**3/5 - 4*a**2/5 + 2*a/5 - 4. Determine w, given that y(w) = 0.
1/3, 1
Let n be (-3)/(4 - 82/28) + 4. Factor 4/5*w + 14/5*w**2 + 0 + 16/5*w**3 + n*w**4.
2*w*(w + 1)**2*(3*w + 2)/5
Let i(o) be the third derivative of -o**6/30 - o**5/5 + 8*o**3/3 + 9*o**2. Solve i(r) = 0.
-2, 1
Suppose -5*x = -10*x + 5. Let r be (0 - x)*4/(-20). Determine i so that 0 + 1/5*i**3 + r*i - 2/5*i**2 = 0.
0, 1
Let w(y) be the third derivative of 9*y**6/40 + 3*y**5/20 - y**4/4 - 16*y**2. Factor w(h).
3*h*(3*h - 1)*(3*h + 2)
Let p(d) = -d**2 - 2. Let n(t) = -5*t + 2. Let s(r) = n(r) - p(r). Let s(c) = 0. What is c?
1, 4
Let v(p) = 46*p**2 - p + 1. Let l be v(1). Let x be l/120 - (-20)/(-150). Factor x*w + 1/2*w**2 + 0 + 1/4*w**3.
w*(w + 1)**2/4
Let -4/7 - 5/7*x - 1/7*x**2 = 0. Calculate x.
-4, -1
Let b = -1/153 - -2/17. Let p(f) be the second derivative of 1/45*f**6 + 0 + 1/63*f**7 + 1/3*f**2 - 2*f - 1/15*f**5 + b*f**3 - 1/9*f**4. Solve p(n) = 0 for n.
-1, 1
Suppose 3*y - 2*g - 19 = 0, -2*y + g + 11 = -0*g. Suppose 0 = z - 3*m + 7, -z - 4*m + 18 = 2*z. Solve -z*u - u - 3*u**4 + 3*u**2 + 2*u**y + u = 0.
-1, 0, 2/3, 1
Let u(r) = -2*r**3 + 3*r**2 + 3*r - 7. Let x(z) be the first derivative of -3*z**4/2 + 10*z**3/3 + 4*z**2 - 22*z + 3. Let t(f) = -10*u(f) + 3*x(f). Factor t(a).
2*(a - 1)**2*(a + 2)
Factor -1/3 + 0*n + 1/3*n**2.
(n - 1)*(n + 1)/3
Let b be 2/(3*(-4)/6). Let p = b + 3. Factor -5*m**3 + 2*m + 4*m**3 - 2*m**2 + 0*m**2 + 3*m**p.
-m*(m - 2)*(m + 1)
Factor 9*j - 27/2 - 3/2*j**2.
-3*(j - 3)**2/2
Let i be (20/25)/(54/135). Let t be (-15)/(-28) + (-1)/4. Suppose t*v**i + 0 + 2/7*v = 0. Calculate v.
-1, 0
Suppose 5*g = g. Suppose g = 4*w - 19 - 1. Suppose -10*c**3 - c**5 + w*c**4 + 1 + 10*c**2 - 6*c + c + 0*c = 0. What is c?
1
Let a(h) = -2*h**2 - h - 1. Let n be a(-3). Let z = -14 - n. Factor -5/4*f - 1/4 - f**z.
-(f + 1)*(4*f + 1)/4
Suppose 5*y - 1 = 4*r + 2, -4*r = -y - 9. Determine f so that 0 - 2/3*f - 4/3*f**2 - 2/3*f**r = 0.
-1, 0
Factor -2/9*q**2 - 16/9 + 20/9*q - 2/9*q**3.
-2*(q - 2)*(q - 1)*(q + 4)/9
Let k(u) = -u**2 - 4*u - 3. Let m(p) = -p**2 - 4*p - 3. Let d(y) = -3*k(y) + 2*m(y). Factor d(n).
(n + 1)*(n + 3)
Let k = -1/349 - -1413/5933. Let m = 25/34 - k. Factor -1 - 1/2*h + m*h**2.
(h - 2)*(h + 1)/2
Let y be (3/((-189)/6))/((-14)/126). Let 2/7*b**3 - 2/7 - 6/7*b**2 + y*b = 0. What is b?
1
Factor 1/4*n**2 + 1/2 - 3/4*n.
(n - 2)*(n - 1)/4
Let v(w) be the second derivative of w**8/560 - w**7/80 + 3*w**6/80 - w**5/16 + w**4/16 + w**3/3 - 7*w. Let g(f) be the second derivative of v(f). Factor g(k).
3*(k - 1)**3*(2*k - 1)/2
Let i(m) be the second derivative of -2*m**7/189 - 14*m**6/27 - 98*m**5/9 - 3430*m**4/27 - 24010*m**3/27 - 33614*m**2/9 - m. Suppose i(b) = 0. What is b?
-7
Let w(y) = -y + 7. Let j be w(4). Factor s**4 + 2*s + s**4 - 5*s**3 + 2 + j*s**3 + 2 - 6*s**2.
2*(s - 2)*(s - 1)*(s + 1)**2
Let n = -212 + 214. Factor 0*o - 21/5*o**4 - 6/5*o**n + 0 + 27/5*o**3.
-3*o**2*(o - 1)*(7*o - 2)/5
Suppose 0*c = c. Let m(k) be the first derivative of 2 + 3/16*k**4 + 1/24*k**6 + 3/20*k**5 + 0*k + 1/12*k**3 + c*k**2. Factor m(l).
l**2*(l + 1)**3/4
Let t = 33 + -19. Determine o so that 10 + t*o**3 - 18*o**2 - 3 - 24*o + 1 = 0.
-1, 2/7, 2
Let m(u) be the third derivative of -u**7/5040 + u**6/720 - u**5/240 + u**4/144 + 2*u**3/3 + 5*u**2. Let z(c) be the first derivative of m(c). Factor z(r).
-(r - 1)**3/6
Let x(i) = i**3 + 50*i**2 - 119*i + 64. Let y(g) = 50*g**2 - 120*g + 65. Let w(d) = -5*x(d) + 4*y(d). Factor w(t).
-5*(t - 1)**2*(t + 12)
Factor 2/7*d**2 - 16/7*d + 32/7.
2*(d - 4)**2/7
Let m(f) = f - 2. Let t be m(4). Determine p so that 8/5*p + 2/5*p**5 + 26/5*p**3 + 0 - 24/5*p**t - 12/5*p**4 = 0.
0, 1, 2
Suppose -15 = -3*r, h + 8*r = 3*r + 25. What is o in 27*o**2 + h*o**3 + 2 + o**3 - 3*o - 27*o**2 = 0?
-2, 1
Let r(s) be the third derivative of s**10/50400 - s**9/7560 + s**8/3360 - s**6/720 + 2*s**5/15 + 6*s**2. Let g(w) be the third derivative of r(w). Factor g(k).
(k - 1)**3*(3*k + 1)
Let a be (88/55)/(4/10). Let k(u) = -u**3 + 4*u**2 - 3*u. Let r be k(3). Determine z, given that -1/3*z + r*z**2 + z**3 - 2/3*z**a + 0 = 0.
-1/2, 0, 1
Factor 30 + 775*c**2 - 116 - 780*c**2 - 39 + 50*c.
-5*(c - 5)**2
Let s(n) be the third derivative of 0*n**3 + 1/270*n**5 + n**2 - 1/540*n**6 + 1/1512*n**8 - 1/945*n**7 + 0 + 0*n**4 + 0*n. Factor s(i).
2*i**2*(i - 1)**2*(i + 1)/9
Let s = 4241/27 - 157. Let p(u) be the first derivative of 2/45*u**5 + 0*u - 1/18*u**4 + 1/9*u**2 - s*u**3 + 3. Solve p(q) = 0.
-1, 0, 1
Suppose -2*d + 54 = 48. Factor -2/15*z**4 + 2/15*z**d + 0*z - 2/15*z**5 + 2/15*z**2 + 0.
-2*z**2*(z - 1)*(z + 1)**2/15
Let q(g) be the first derivative of -g**4/20 - g**3/15 + 5. Let q(l) = 0. What is l?
-1, 0
Let y(v) be the second derivative of -2*v**7/63 + 2*v**6/45 + 2*v**5/15 - 2*v + 14. Factor y(j).
-4*j**3*(j - 2)*(j + 1)/3
Factor 9163*f - 80*f**2 - 9163*f - 40*f**3 - 5*f**4.
-5*f**2*(f + 4)**2
Let z(q) be the second derivative of q**4/48 - q**3/12 + q**2/8 + 4*q. Suppose z(h) = 0. What is h?
1
Factor -50*q**2 + 45/2*q**3 + 65/2*q - 5.
5*(q - 1)**2*(9*q - 2)/2
Let w = 0 + 4. Factor w*j**2 - 3*j - 3*j**2 + 4 + j + 6*j.
(j + 2)**2
Let n(u) be the first derivative of 3*u**5/35 - 3*u**4/28 - 2*u**3/7 - 9. Factor n(j).
3*j**2*(j - 2)*(j + 1)/7
Let q(i) be the third derivative of i**7/210 + i**6/30 + i**5/10 + i**4/6 + i**3/6 - 8*i**2. Let q(m) = 0. Calculate m.
-1
Suppose -5*b + 6 + 4 = 0. Let r(s) = -2*s**2 - 1 - s - s**b + 2*s**2. Let x(d) = -5*d**2 - 6*d - 7. Let q(n) = 6*r(n) - x(n). Factor q(w).
-(w - 1)*(w + 1)
Let l(w) be the third derivative of -w**6/280 - w**5/140 + w**4/28 + 3*w**2. Let l(p) = 0. What is p?
-2, 0, 1
Let l(g) be the first derivative of -g**7/420 - g**6/8