 - t**5/110 - t**4/132 + t**3/11 - 40*t**2. Factor i(r).
2*(r - 3)*(r - 1)*(r + 1)/11
Let r(l) = l**2 - l + 1. Let f(u) = 3*u**2 - 2*u + 12. Let c(d) = 5*f(d) - 20*r(d). Factor c(h).
-5*(h - 4)*(h + 2)
Let o(r) be the third derivative of 0 - 1/1260*r**7 - 1/20*r**5 + 6*r**2 + 0*r - 2/9*r**3 - 5/36*r**4 - 7/720*r**6. Factor o(v).
-(v + 1)*(v + 2)**3/6
Factor 1/2*g**2 + 1/4*g - 1/4.
(g + 1)*(2*g - 1)/4
Let q(m) = -m**3 - 7*m**2 - 6*m + 6. Let p be q(-6). Let l = 17 - p. Suppose -6 + l*j**2 - j**2 - 3*j**2 - 4*j**2 + 3*j = 0. Calculate j.
-2, 1
Let y(u) be the third derivative of -u**6/600 - u**5/25 - 2*u**4/5 - 32*u**3/15 + 12*u**2. Solve y(b) = 0 for b.
-4
Let w = 128 + -636/5. Factor -6/5*g - w - 2/5*g**2.
-2*(g + 1)*(g + 2)/5
Let i(y) be the first derivative of y**6/12 - y**5/30 - 11*y**4/24 + y**3/2 + y**2/3 - 2*y/3 + 2. Determine a so that i(a) = 0.
-2, -2/3, 1
Let l = -5/8 - -41/40. Find j such that -l*j + 4/5*j**4 + 0*j**3 + 2/5*j**5 + 0 - 4/5*j**2 = 0.
-1, 0, 1
Let c be (3*1)/(15/10). Factor -1 - n**2 + 0 + 3*n**4 + c*n**3 + n**5 - 3*n - n**2.
(n - 1)*(n + 1)**4
Let u(w) be the second derivative of w**6/150 + w**5/100 - w**4/60 - w**3/30 + 2*w. Find o such that u(o) = 0.
-1, 0, 1
Let u(v) be the third derivative of -v**7/360 + v**6/360 - v**4/4 - 5*v**2. Let d(o) be the second derivative of u(o). Solve d(l) = 0.
0, 2/7
Let c(j) be the second derivative of -j**6/1440 - j**5/480 + j**4/48 - j**3 + j. Let g(k) be the second derivative of c(k). Solve g(r) = 0.
-2, 1
Let g = 28 - 26. Let w(j) be the second derivative of -1/2*j**3 + 1/30*j**6 - g*j + 1/2*j**2 - 1/6*j**4 - 1/14*j**7 + 0 + 3/10*j**5. Solve w(o) = 0 for o.
-1, 1/3, 1
Let l be (-21)/(-18) + 7/(-42). Let q be 4/1*l/10. Solve -q*s**5 - 4/5*s**2 + 0 + 4/5*s**4 + 2/5*s + 0*s**3 = 0.
-1, 0, 1
Let c(f) = 4*f**2 + f + 1. Let y(h) = h**2 - h - 1. Let l(d) = c(d) + y(d). Factor l(t).
5*t**2
Suppose 1 = -4*r + 9. Let p(s) be the second derivative of -1/3*s**3 + 0 + 1/6*s**4 + 0*s**r - s. Factor p(h).
2*h*(h - 1)
Let q(x) be the second derivative of x**4/3 + 2*x**3/9 - 4*x**2/3 - 2*x. Solve q(w) = 0 for w.
-1, 2/3
Let f = 16 + 4. Let s be f/8*16/260. Factor -s*d**2 + 0*d + 2/13.
-2*(d - 1)*(d + 1)/13
Let j(s) be the third derivative of 4*s**2 + 0*s + 0*s**3 + 0 - 1/32*s**4 + 1/160*s**6 + 0*s**5. Factor j(q).
3*q*(q - 1)*(q + 1)/4
Let v(q) be the second derivative of -2*q**6/45 + 2*q**5/15 - q**4/9 - 7*q. Let v(d) = 0. Calculate d.
0, 1
Determine d, given that -15*d**4 + 13*d**3 - 3*d**2 - 9*d**2 + 26*d**3 - 12*d = 0.
-2/5, 0, 1, 2
Let b = -2 - -4. Determine m so that -6/7*m + 0 - 3/7*m**b = 0.
-2, 0
Let o be (-16)/24*5/(-10). Factor -5/3*c**2 - o*c**3 + 3 - c.
-(c - 1)*(c + 3)**2/3
Let c(h) be the first derivative of 3*h**5/20 - 3*h**4/4 + 6*h**2 + h - 1. Let f(v) be the first derivative of c(v). What is k in f(k) = 0?
-1, 2
Let r(m) be the first derivative of 2*m**7/525 + m**6/120 + m**5/300 + m**2/2 - 2. Let j(c) be the second derivative of r(c). Factor j(b).
b**2*(b + 1)*(4*b + 1)/5
Let w(q) be the first derivative of q**3/6 - q**2/3 + q/6 - 5. Determine z, given that w(z) = 0.
1/3, 1
Let x(p) be the second derivative of p**4/6 - 6*p. Suppose x(v) = 0. What is v?
0
Let g = 2/13 - -9/26. Factor n**3 + 0*n**2 - n + 1/2*n**4 - g.
(n - 1)*(n + 1)**3/2
Suppose 2*w + 296 = -5*k - 2*w, 0 = 3*k - 4*w + 152. Let h be k/7*1/(-5). Determine p so that -h - 2/5*p**2 + 8/5*p = 0.
2
Let p(t) be the first derivative of -t**4/18 - 2*t**3/9 - t**2/3 - 2*t/9 + 1. Factor p(s).
-2*(s + 1)**3/9
Solve 2*u**2 - 3 - 4*u**2 - 6*u - u**2 = 0.
-1
Let h(f) be the first derivative of -7*f**4/18 - 8*f**3/9 + 25*f**2/9 - 4*f/3 - 12. Factor h(o).
-2*(o - 1)*(o + 3)*(7*o - 2)/9
Let p(g) be the second derivative of 1/6*g**3 + 1/2*g**2 + g + 0 + 1/48*g**4. Factor p(u).
(u + 2)**2/4
Let z(r) = r**3 + r**2. Let i(u) = 15*u**3 + 3*u**2. Let o(y) = i(y) - 12*z(y). Let o(q) = 0. What is q?
0, 3
Factor -7*q**3 - q**2 - 2*q**2 + 8*q**2 - 5*q**4 + 10*q - 3*q**3.
-5*q*(q - 1)*(q + 1)*(q + 2)
Let x(r) be the third derivative of 27/14*r**3 - 27/56*r**4 - 1/280*r**6 + 9/140*r**5 + 0*r + 4*r**2 + 0. Factor x(p).
-3*(p - 3)**3/7
Let h(d) be the second derivative of 1/20*d**6 + 0*d**2 + 1/28*d**7 + 0*d**3 - 3/20*d**5 + 3*d + 0*d**4 + 0. Determine r so that h(r) = 0.
-2, 0, 1
Let z(v) be the second derivative of v**4/48 - v**3/3 + 7*v**2/8 + 3*v + 3. Factor z(d).
(d - 7)*(d - 1)/4
Factor 26*d - 18*d - 20*d**2 - 4*d**5 + 4*d**4 + 12*d**3 + 0*d**4.
-4*d*(d - 1)**3*(d + 2)
Let l be 1 + -1 + 0 - -2. Find r such that -2/3*r**3 + 2/3*r**l - 2/3 + 2/3*r = 0.
-1, 1
Suppose 2 = 3*w - 4*w. Let m be 1/((-1)/(0 + w)). What is i in i**m - 1/2*i**3 + 0 - 1/2*i = 0?
0, 1
Determine a, given that a**2 + 3/2*a**3 + 0*a**4 + 0*a - 1/2*a**5 + 0 = 0.
-1, 0, 2
Let y be 4/(-12)*1*-30. Suppose 4*p = -p + y. Factor 0*a + 1/3*a**4 + 1/3 + 0*a**3 - 2/3*a**p.
(a - 1)**2*(a + 1)**2/3
Suppose -3 = -5*o - 8. Let c be -2 - o - 33/(-12). Suppose -c*q**4 + 9/4*q**3 + 1/2*q**5 - 5/4*q**2 + 0 + 1/4*q = 0. What is q?
0, 1/2, 1
Let u(w) = -w**3 + 5*w**2 + 2. Let o be u(5). What is h in 2*h**3 - h**4 - 2*h - h**4 + 9*h**o - 7*h**2 = 0?
-1, 0, 1
Let l(s) be the third derivative of 2*s**2 + 0*s - 1/16*s**4 - 1/240*s**6 + 0 + 1/12*s**3 + 1/40*s**5. Suppose l(h) = 0. What is h?
1
Suppose h + 4*w = -h, 0 = h + 5*w + 6. Let l = h - 1. Factor -q**4 - q**4 + 2*q**2 + 2*q**4 - 2*q**4 + 2*q - 2*q**l.
-2*q*(q - 1)*(q + 1)**2
Suppose 0 = -i - 2*i. Let r(u) be the first derivative of 2/3*u**3 + 0*u - 2 + i*u**2 - 1/4*u**4. Determine f so that r(f) = 0.
0, 2
Let j(s) be the third derivative of -3*s**8/560 + s**7/70 + s**6/50 - s**5/25 + 5*s**2 - 2. Let j(f) = 0. What is f?
-1, 0, 2/3, 2
Let h = -19009/15 + 1268. Let v = h + 3/5. Let 1/3*n**2 + 4/3*n + v = 0. Calculate n.
-2
Let 0*g**4 + 0*g**2 + 0 + 2/9*g**5 - 4/9*g**3 + 2/9*g = 0. Calculate g.
-1, 0, 1
Let r(u) = 4*u**3 + 4*u**2 - 7*u - 4. Let y(w) = -7*w**3 - 7*w**2 + 13*w + 8. Let t(x) = 5*r(x) + 3*y(x). Factor t(o).
-(o - 2)*(o + 1)*(o + 2)
Let d(z) be the first derivative of z**3/12 + z**2/8 - 25. Solve d(r) = 0 for r.
-1, 0
Let k be (-2 - -4*1) + 0. Let a be (-3)/(-5) + 18/(-30). Factor a + 2/7*m**k + 2/7*m.
2*m*(m + 1)/7
Let s(p) be the third derivative of -6*p**2 + 0*p + 1/336*p**8 - 1/60*p**6 + 0 + 1/30*p**5 - 1/6*p**3 - 1/210*p**7 + 1/24*p**4. Suppose s(w) = 0. Calculate w.
-1, 1
Let d(v) be the third derivative of -1/10*v**6 - 2/105*v**7 + 4/3*v**3 + 0*v - 1/15*v**5 - 4*v**2 + 1/2*v**4 + 0. Factor d(p).
-4*(p - 1)*(p + 1)**2*(p + 2)
Let r(b) be the second derivative of b**6/160 + b**5/120 + b**2 - 3*b. Let n(m) be the first derivative of r(m). Factor n(x).
x**2*(3*x + 2)/4
Let h(l) be the first derivative of l**2/2 - l + 1. Let g be h(4). Let d**2 + 0*d**2 + g*d - 6*d + 2 = 0. Calculate d.
1, 2
Suppose 2*z - 8 + 0 = 0. Factor 5*v**2 - 3*v + v - 6*v**4 + 10*v**3 - 8*v**z + v**3.
-v*(v - 1)*(2*v + 1)*(7*v - 2)
Suppose 20*r + 29*r - 3*r**2 - 37*r = 0. What is r?
0, 4
Suppose -2*s - f - f + 2 = 0, -4*s + f - 1 = 0. Suppose s*y = 2*y. Factor 2/7*b**2 - 2/7*b + y.
2*b*(b - 1)/7
Let b(h) be the third derivative of h**7/630 - h**6/120 + h**4/18 - 4*h**2. Let b(u) = 0. What is u?
-1, 0, 2
Let u(q) be the third derivative of q**10/302400 + q**9/60480 + q**8/40320 - q**5/60 - 3*q**2. Let o(x) be the third derivative of u(x). Factor o(z).
z**2*(z + 1)**2/2
Suppose 5*o - 25 = -0*o + 5*w, 0 = 4*o + w - 35. Suppose -o = -4*y + i - 5*i, -y + 2*i + 2 = 0. Factor -2*t**2 + y*t + 2*t - 3*t + t**3.
t*(t - 1)**2
Let c(i) be the third derivative of i**5/12 - 5*i**4/8 + 5*i**3/3 + 24*i**2. Solve c(m) = 0 for m.
1, 2
Suppose -2*x = -x - 3. Let t be 1*(2 - (-8)/4). Factor -6*i**3 - 6*i**2 + 0*i**t + x*i**4 - 5*i**4 - 2*i.
-2*i*(i + 1)**3
Let m be (-3)/9 - 7/(-3). Suppose -m*h + 3*h - 4 = 0. Factor -5*s**2 - 3*s**3 + s**4 + 4*s**3 + h*s**2 - s**5.
-s**2*(s - 1)**2*(s + 1)
Suppose 5*v = 3*i - 3, 1 = -0*i + i - 3*v. Let c be (0 - -3 - 0) + i. Factor 2*f**3 + c + 2*f - 4*f**2 - 4.
2*f*(f - 1)**2
Let l(k) be the third derivative of k**6/660 - k**5/110 - k**4/132 + k**3/11 + 34*k**2. Factor l(i).
2*(i - 3)*(i - 1)*(i + 1)/11
Let s(l) = 4*l - 4. Let m(h) = h - 1. Let a(x) = -7*m(x) + 2*s(x). Let f be a(3). Factor 4*z**2 - 2*z - 4*z**2 + z**f.
z*(z - 2)
Let 