(i) - y(i). Factor x(w).
5*w**2*(w + 1)**2
Suppose l = 2*z + 11, 9 = -l + 2*z - 5*z. Suppose -4*v = -260 - 24. Let 32*p + 6*p**4 + 2*p**2 + l - 16*p**4 - 21*p**5 + v*p**5 - 82*p**3 + 5 = 0. Calculate p.
-1, -2/5, 1
Let p(y) = y**2 + 6*y - 2. Let i be p(-7). Suppose -4*s - 30 = -5*g, 0 = -i*g - 4*s - 4 - 6. Factor 2/5*m**g + 0 - 2/5*m.
2*m*(m - 1)/5
Let b(f) = f**3 + 11*f**2 + 20*f + 18. Let r be b(-9). Let -6/5*j**3 - 4/5*j**2 + r + 0*j = 0. What is j?
-2/3, 0
Let k(v) be the first derivative of -2*v**5/5 + 4*v**3/3 - 2*v - 5. Factor k(t).
-2*(t - 1)**2*(t + 1)**2
Let a(c) be the second derivative of c**5/150 - c**3/15 - c**2 - 3*c. Let s(b) be the first derivative of a(b). Solve s(q) = 0.
-1, 1
Let f(q) be the third derivative of -3/40*q**6 + 3*q**2 + 0*q**3 + 1/8*q**4 + 13/140*q**7 + 0*q - 3/40*q**5 - 3/112*q**8 + 0. Find g, given that f(g) = 0.
-1/2, 0, 2/3, 1
Factor 0*l + 0 - 1/5*l**3 + 0*l**2.
-l**3/5
Let v(u) be the third derivative of 2/105*u**7 + 0*u + 1/3*u**3 + 2/5*u**5 + 17/120*u**6 + 0 - 8*u**2 + 13/24*u**4. Factor v(h).
(h + 1)**2*(h + 2)*(4*h + 1)
Let w(o) be the third derivative of -o**9/75600 + o**8/25200 - o**5/30 - 8*o**2. Let q(y) be the third derivative of w(y). Factor q(u).
-4*u**2*(u - 1)/5
Factor 3 - 51/4*i - 27/8*i**2.
-3*(i + 4)*(9*i - 2)/8
Factor -l**4 + 7*l**4 + 3*l**5 - 27*l**2 + 58*l**2 - 37*l**2 - 3*l.
3*l*(l - 1)*(l + 1)**3
Let p(b) be the first derivative of -1/4*b**3 + 3 + 0*b**4 + 0*b**2 + 0*b + 3/20*b**5. Factor p(c).
3*c**2*(c - 1)*(c + 1)/4
Let b(u) be the first derivative of 0*u**2 - 4/9*u**3 + 2/3*u + 3 + 2/15*u**5 + 0*u**4. Factor b(o).
2*(o - 1)**2*(o + 1)**2/3
Let n(b) be the third derivative of -b**8/840 + b**7/210 + b**6/90 + b**4/8 - 10*b**2. Let a(x) be the second derivative of n(x). Suppose a(c) = 0. What is c?
-1/2, 0, 2
Let w(a) be the first derivative of a**3 - 1/2*a**6 + 0*a**2 + 0*a + 5 + 3/4*a**4 - 3/5*a**5. Factor w(j).
-3*j**2*(j - 1)*(j + 1)**2
Let d(k) be the second derivative of k**4/3 + 8*k**3/3 + 8*k**2 - 29*k. Find v, given that d(v) = 0.
-2
Let a(t) be the second derivative of t**4/24 - t**3/6 - 29*t. Factor a(h).
h*(h - 2)/2
Suppose -j = -3 - 1. Suppose 0 = -j*l - 4*z + 11 + 9, 0 = -5*l + 4*z + 25. Suppose -16/5*b + 72/5*b**l + 4/5*b**3 - 74/5*b**2 + 8/5 + 126/5*b**4 = 0. What is b?
-1, -2/3, 1/4, 2/3
Let t(r) be the second derivative of 5/48*r**4 + 0 - 1/4*r**2 + 5*r + 1/8*r**3. Let t(c) = 0. What is c?
-1, 2/5
Suppose 0 = 2*l - 5*y - 5, 4*l - 17 = 3*y - 0*y. Let b(u) be the first derivative of l*u**2 + 4*u - 5/2*u**4 - 6*u**3 - 1 + 14/5*u**5. Factor b(o).
2*(o - 1)**2*(o + 1)*(7*o + 2)
Suppose 4*k + k - 5 = 0. Let v be (k/(-7))/((-3)/6). Factor 2/7 - 4/7*f + v*f**2.
2*(f - 1)**2/7
Let h(u) = u**2 - u - 4. Let k be h(-4). Let t = 19 - k. Factor -3/2*q + 3/2*q**4 - 1/2 + q**t - q**2 + 1/2*q**5.
(q - 1)*(q + 1)**4/2
Let l be (-1 + -2 + 4)*2. Let z = 41 + -41. Find i such that z + l*i**2 + 4/5*i = 0.
-2/5, 0
Suppose 11*k - 7 = 15. Factor -42/5*g**2 - k*g**4 - 4/5 - 34/5*g**3 - 22/5*g.
-2*(g + 1)**3*(5*g + 2)/5
Suppose 6*o - 30 = 4*o. Let n(m) = -3*m**2 - 4*m. Let s(t) = -12*t**2 - 15*t. Let v(x) = o*n(x) - 4*s(x). Solve v(h) = 0 for h.
0
Suppose 0 = -3*q + 2*o - 4, 29 = 4*q + 2*o + 25. Let 0 - u**2 + q*u + 0*u**3 + 3/4*u**4 - 1/4*u**5 = 0. What is u?
-1, 0, 2
Let a(d) be the third derivative of d**7/420 + d**6/60 + d**5/20 + d**4/12 + d**3/12 + 14*d**2. Factor a(c).
(c + 1)**4/2
Let t(o) = -o**3 - o**2 - o + 1. Let i(b) be the first derivative of 3*b**5/5 - 9*b**4/4 - 2*b**3 + 3*b**2/2 + 3*b + 4. Let z(g) = i(g) - 3*t(g). Factor z(q).
3*q*(q - 2)*(q - 1)*(q + 1)
Let s(m) be the second derivative of -2*m**6/105 + m**4/21 - 4*m. Factor s(w).
-4*w**2*(w - 1)*(w + 1)/7
Let m(w) be the first derivative of -w**3/21 + w**2/2 - 6*w/7 - 2. Determine j, given that m(j) = 0.
1, 6
Suppose 8/3*z + 0 + 10/3*z**3 + 2/3*z**4 + 16/3*z**2 = 0. What is z?
-2, -1, 0
Let g(t) = -t**3 + 3*t**2 + 5*t + 3. Let n be g(4). Suppose -4*o + n + 1 = 0. Solve -3*c**4 + 10*c**3 + 2*c - c**3 + c - 15*c**o + 6*c**2 = 0.
0, 1
Suppose 102 = 4*l + 3*j, 6*j = j + 10. Let g = l + -21. Factor -2/3*h - 2*h**g + 0 + 2/3*h**4 + 2*h**2.
2*h*(h - 1)**3/3
Suppose -5*y - 726 = 2*t, y - t = -4*y - 717. Let s = -573/4 - y. Factor -1/4*l - s*l**2 + 1/2.
-(l + 1)*(3*l - 2)/4
Find d, given that -40*d**2 - 3*d + d**4 - 4*d**3 - 21*d**3 - 17*d - 6*d**4 = 0.
-2, -1, 0
Let h be (-1)/(-1) - (1 - 6). Let x = -19 + 23. Solve -h*p**5 + 2*p**x + 16*p**3 - 6*p**3 - 4*p + 0*p**4 - 2*p**2 = 0 for p.
-1, -2/3, 0, 1
Let u = 2396/55 - 290/11. Find m, given that -774/5*m**4 + 48/5*m**2 + 0 - 648/5*m**5 - u*m**3 + 8/5*m = 0.
-1, -2/9, 0, 1/4
Let i(h) be the second derivative of 5*h**6/6 + 13*h**5/4 - 5*h**4/2 - 50*h**3/3 + 20*h**2 + 3*h. Determine l so that i(l) = 0.
-2, 2/5, 1
Let g(q) = q**2 - 8*q + 7. Let x be g(7). Let p(n) be the third derivative of 1/180*n**5 + 0 - 1/36*n**4 + n**2 + x*n + 1/18*n**3. Factor p(v).
(v - 1)**2/3
Suppose o - 5*b + 27 - 11 = 0, o + 12 = 4*b. Factor -7*l**3 - 7*l**4 + l**3 + l + 5*l - 8*l**o + 15*l**2.
-3*l*(l - 1)*(l + 1)*(5*l + 2)
Let i be -11 + 9 + (-10)/(-3). Find w, given that 0*w**2 + 2/3 - 2/3*w**4 + i*w**3 - 4/3*w = 0.
-1, 1
Determine y, given that -2/5 + 2/5*y**2 + 0*y = 0.
-1, 1
Let q(y) be the first derivative of 0*y - 2/9*y**2 + 10/27*y**3 + 2/45*y**5 + 5 - 2/9*y**4. Determine n, given that q(n) = 0.
0, 1, 2
Let m(h) be the third derivative of h**7/420 + h**6/80 + h**5/120 - h**4/16 - h**3/6 - 2*h**2. Factor m(i).
(i - 1)*(i + 1)**2*(i + 2)/2
Let j(d) = 10*d**2 - 10*d - 2. Let p(a) = a**2 - a + 1. Let z(q) = -j(q) + 6*p(q). Determine b, given that z(b) = 0.
-1, 2
Determine q, given that 1/4*q + 0*q**2 + 0 - 1/4*q**3 = 0.
-1, 0, 1
Let u(l) be the first derivative of -3*l**5/5 + 3*l**3 + 3*l**2 + 3. Find i, given that u(i) = 0.
-1, 0, 2
Let w(i) be the second derivative of 7*i**5/80 + i**4/3 + 11*i**3/24 + i**2/4 - 3*i. Factor w(l).
(l + 1)**2*(7*l + 2)/4
Let s = 67 + -200/3. Factor 1/6*o**2 - 1/2*o + 1/6*o**4 - s + 1/2*o**3.
(o - 1)*(o + 1)**2*(o + 2)/6
Let s(u) be the third derivative of u**10/120960 + u**4/12 - 3*u**2. Let k(g) be the second derivative of s(g). Determine l, given that k(l) = 0.
0
Factor -2*d**2 + 0*d**3 - 2*d**3 + 0*d**3.
-2*d**2*(d + 1)
Let j = 955 - 6684/7. Factor -j + 1/7*m**2 + 0*m.
(m - 1)*(m + 1)/7
Let l = 7/6 - 5/6. Factor -l - 4/3*d + 4/3*d**3 + 1/3*d**2.
(d - 1)*(d + 1)*(4*d + 1)/3
Let k(l) be the third derivative of 8*l**7/105 - 2*l**6/15 - l**5/5 + l**4/3 + 2*l**3/3 + 8*l**2. Factor k(i).
4*(i - 1)**2*(2*i + 1)**2
Factor 0 + 0*o**2 + 4/9*o**4 - 2/9*o**5 + 0*o - 2/9*o**3.
-2*o**3*(o - 1)**2/9
Let d be 6/(-9)*(-7)/56. Let g(i) be the third derivative of i**2 + 0*i + 0 + 2/3*i**3 - 1/3*i**5 + d*i**4. Factor g(z).
-2*(2*z - 1)*(5*z + 2)
Let r(i) be the third derivative of 0*i**4 - 1/63*i**7 - 1/45*i**5 + 7/180*i**6 + 0*i + 0 + 5*i**2 + 0*i**3. Solve r(a) = 0.
0, 2/5, 1
Suppose 2 = 4*v + 2*t, -v - 4*t - 32 = -5*v. Factor -6 + 2*m**2 + v*m - 6*m + m**2.
3*(m - 2)*(m + 1)
Suppose i + u = 8, u - 2 = -3*i + 12. Suppose 5*l**2 + l**4 - 3*l**2 + 7*l**i - 3*l**4 - 5*l**3 - 2*l = 0. What is l?
-1, 0, 1
Let b(g) be the third derivative of -g**8/1680 + g**7/420 - g**6/360 + g**3/2 + 6*g**2. Let p(f) be the first derivative of b(f). Factor p(w).
-w**2*(w - 1)**2
Let q(b) be the first derivative of 1/42*b**4 - 1/7*b**2 + 1 + 1/7*b**3 - 3/70*b**5 - 3*b. Let f(z) be the first derivative of q(z). What is v in f(v) = 0?
-1, 1/3, 1
Let n(u) be the second derivative of u**4/4 + u**3 + 6*u. Factor n(g).
3*g*(g + 2)
Suppose 3*x = 4*x. Let m(w) be the second derivative of 0*w**3 + 0*w**2 + 0*w**4 + 1/120*w**6 + x + 1/80*w**5 + 2*w. Factor m(i).
i**3*(i + 1)/4
Let t = 6 + -4. Suppose -11 = -t*p - 5. Determine k, given that 2*k**4 - 2*k**2 - k + k**5 - k**3 + k**p = 0.
-1, 0, 1
Let z(y) be the third derivative of 1/120*y**6 + 0*y**3 + 0*y + 3*y**2 + 1/30*y**5 + 0 + 0*y**4. Factor z(g).
g**2*(g + 2)
Let m(d) be the second derivative of d**6/105 + 3*d**5/70 + d**4/42 - d**3/7 - 2*d**2/7 - 4*d. Factor m(w).
2*(w - 1)*(w + 1)**2*(w + 2)/7
Suppose -92 = -20*f - 12. Factor -4/5*a**2 + 0*a - 16/5*a**3 - 8/5*a**5 + 0 - f*a**4.
-4*a**2*(a + 1)**2*(2*a + 1)/5
Let m be ((-132)/9)/4 - -5. Factor -2*d**2 + 10/3*d