**5 + 0*o**3 - 1/2*o**2 - o - 1/96*o**4. Let t(i) be the first derivative of l(i). What is p in t(p) = 0?
-1, 0
Let j(a) = a**2 - 5*a + 4. Let m be j(5). Let b(g) = 2*g**2 + 2. Let n(i) = i**2 + i + 1. Let k(f) = m*n(f) - 3*b(f). Factor k(o).
-2*(o - 1)**2
Suppose -z = -5*d - 4*z + 38, 4*z = 5*d - 31. Let m = -5 + d. Factor 2*t + m*t**2 + 1/2.
(2*t + 1)**2/2
Let x = 8 + -6. Let o be -6*(-1)/4*x. Factor -4/5*y + 0 - 22/5*y**4 - 18/5*y**2 - 6/5*y**5 - 6*y**o.
-2*y*(y + 1)**3*(3*y + 2)/5
Let u(i) be the second derivative of -i**9/3024 + i**8/560 - i**7/280 + i**6/360 - i**3/2 - i. Let w(k) be the second derivative of u(k). Solve w(n) = 0.
0, 1
Determine m, given that 4/7*m**3 + 48/7*m**2 + 256/7 + 192/7*m = 0.
-4
Let y(v) be the third derivative of -v**8/1176 - v**7/245 - v**6/140 - v**5/210 - 8*v**2. Factor y(u).
-2*u**2*(u + 1)**3/7
Suppose -12*w = -7*w - 15. Let h(l) = l - 1. Let z be h(3). Let -2*d - 2 + d**z + w + 0*d = 0. What is d?
1
Solve 4/5 + 4/5*i + 1/5*i**2 = 0 for i.
-2
Let j(k) be the first derivative of -k**7/42 - k**6/15 - k**5/20 + 2*k - 2. Let f(r) be the first derivative of j(r). Factor f(n).
-n**3*(n + 1)**2
Factor -8/23*o**3 - 4/23*o**2 + 18/23 + 24/23*o + 2/23*o**4.
2*(o - 3)**2*(o + 1)**2/23
Let k(c) be the second derivative of c**3 - 3/2*c**2 - 3/10*c**5 + 0*c**4 + 1/10*c**6 - 5*c + 0. Factor k(s).
3*(s - 1)**3*(s + 1)
Let v be 12/18*3/8. Let v*u**4 + 1/4*u + 0 - 1/4*u**3 - 1/4*u**2 = 0. Calculate u.
-1, 0, 1
Let s be 1*3*14/14. Suppose -14/5*o**s + 4/5*o - 2*o**2 + 0 = 0. What is o?
-1, 0, 2/7
Factor -q**5 + q**3 + 16*q**4 + 7*q**4 - 2*q**2 - 21*q**4.
-q**2*(q - 2)*(q - 1)*(q + 1)
Let g(o) = o**2 - 4*o + 2. Let r be g(4). Factor 98*h**5 + 55*h**3 + 13*h**3 - 154*h**4 - 4*h**3 - 5*h**2 - 3*h**r.
2*h**2*(h - 1)*(7*h - 2)**2
Let f = -8/191 + 1735/382. Factor 0*l**3 - 6*l**2 + 3/2*l**5 + f*l**4 + 0 + 0*l.
3*l**2*(l - 1)*(l + 2)**2/2
Suppose 1 - 13 = -3*u. Let -6/7*d**2 + 2/7*d**3 - 2/7*d + 4/7 + 2/7*d**u = 0. Calculate d.
-2, -1, 1
Let v(g) be the second derivative of -3*g**5/10 - 11*g**4/6 - 4*g**3 - 4*g**2 - g. Suppose v(z) = 0. Calculate z.
-2, -1, -2/3
Let i(r) = -14*r**2 - r**2 - r**2 - 2*r. Let t(w) = -5*w**2 - w. Suppose 0 = u + 7 - 4. Let s(o) = u*i(o) + 10*t(o). Factor s(p).
-2*p*(p + 2)
Let r be 4/(-14) + 138/42. Let k = 3 - r. Let 2/7*o**3 - 2/7*o**2 + 0*o + k = 0. What is o?
0, 1
Factor 8*o**5 + 10*o**4 - 26*o - 46*o**2 - 22*o**3 - 1 + 13 - 16.
2*(o - 2)*(o + 1)**3*(4*o + 1)
Let x(o) = 2*o**2 + 4*o - 3. Let t be x(4). Suppose -4*p + 6 = -k, -k - 5*p + t = 4*k. Factor k*u**3 + u**5 + u - u**4 - 3*u**4 + 0*u**5 - 4*u**2 + 0*u**2.
u*(u - 1)**4
Let b(t) = t**3 + 36*t**2 + 85*t + 46. Let o(v) = v**3 + 71*v**2 + 170*v + 91. Let c(u) = 9*b(u) - 4*o(u). Determine n so that c(n) = 0.
-5, -2, -1
Let g(m) be the first derivative of -m**5/25 + m**4/20 + m**3/15 - m**2/10 - 12. Suppose g(c) = 0. What is c?
-1, 0, 1
Let p(v) = -v**2 + 5*v - 40. Let w(t) = -t + 1. Let g(j) = -2*p(j) + 18*w(j). Factor g(o).
2*(o - 7)**2
Let i be (-1 + 0)*-18 - 3. Factor -i*b**2 - b**3 - 6*b - 8*b**3 + 2*b - 2*b.
-3*b*(b + 1)*(3*b + 2)
Let r(s) be the third derivative of s**5/630 + s**4/28 - 10*s**3/63 + 21*s**2. Factor r(u).
2*(u - 1)*(u + 10)/21
Let m(n) be the third derivative of n**7/105 - n**6/20 + n**5/30 + n**4/4 - 2*n**3/3 - 12*n**2. Factor m(k).
2*(k - 2)*(k - 1)**2*(k + 1)
Let m(w) be the second derivative of -w**7/273 + 2*w**6/65 - 6*w**5/65 + 5*w**4/39 - w**3/13 - 17*w. Factor m(q).
-2*q*(q - 3)*(q - 1)**3/13
Let t(n) = 8*n**2 - 24*n - 24. Let l(w) = -w**2 - 1. Let b(s) = 4*l(s) + t(s). What is h in b(h) = 0?
-1, 7
Let p(t) be the first derivative of -5*t**4/8 - 11*t**3/3 - 7*t**2 - 4*t - 50. Factor p(j).
-(j + 2)**2*(5*j + 2)/2
Let a(v) = -v**2 - 7*v + 5. Let l be a(-7). Factor -2*p**3 + 2*p**l - 7 + 7 + 3*p**4 - p**4 - 2*p**2.
2*p**2*(p - 1)*(p + 1)**2
What is h in 3*h**5 - 3*h**4 + 39*h**2 - 36 + 24*h + 39*h**3 - 94*h**3 + 28*h**3 = 0?
-3, -1, 1, 2
Let x(s) be the first derivative of 3/4*s**4 - 6*s - 9/2*s**2 - 2 + 0*s**3. Solve x(n) = 0.
-1, 2
What is j in -56*j**2 - 8*j**3 + 115*j**2 + 4*j**4 - 55*j**2 = 0?
0, 1
What is b in 0 + 22/5*b**3 - 4/5*b**2 - 2*b**4 + 0*b = 0?
0, 1/5, 2
Let i = -4 + 6. Suppose 3*y**2 + 4*y**2 - 4*y + i*y = 0. What is y?
0, 2/7
Suppose 3*o - 5*o + 3*r + 1 = 0, -2*r + 2 = 0. Let 2/3*z + 8/3*z**3 + 0 + 10/3*z**o = 0. Calculate z.
-1, -1/4, 0
Factor -2/7*n**3 + 0*n**2 + 4/7 + 6/7*n.
-2*(n - 2)*(n + 1)**2/7
Determine w so that 0*w**4 + 1/2*w - w**3 + 1/2*w**5 + 0*w**2 + 0 = 0.
-1, 0, 1
Let k(h) be the first derivative of -h**7/147 - 4*h**6/105 - 3*h**5/35 - 2*h**4/21 - h**3/21 + 4*h + 2. Let g(z) be the first derivative of k(z). Factor g(a).
-2*a*(a + 1)**4/7
Let x(n) = -n + 3*n**3 + n**4 + 5 - 3 - 5*n**3. Let t(f) be the second derivative of -f**3/6 + f**2/2 - 4*f. Let b(i) = 3*t(i) - x(i). Factor b(l).
-(l - 1)**3*(l + 1)
Let d = -10 - -31/3. Let y(i) be the second derivative of -1/2*i**2 - 1/12*i**4 + 0 - d*i**3 - 2*i. Solve y(o) = 0 for o.
-1
Let q(o) = 2*o**2 - 10*o - 12. Let t be q(6). What is j in 0*j + t*j**2 - 2/3*j**3 + 0 = 0?
0
Let m(u) = u**2 - 1. Let s(c) = -7*c**2 + 2*c + 5. Let b(i) = 18*m(i) + 2*s(i). Determine j so that b(j) = 0.
-2, 1
Suppose -5 = 4*p - 1. Let h be (p/4)/(3/(-18)). Factor 1/2*o**4 - 2*o + o**3 - h*o**2 + 2.
(o - 1)**2*(o + 2)**2/2
Find t such that -1/5*t - 1/5*t**2 + 0 = 0.
-1, 0
Let n be (0 + 2 + 1 + -1)/12. Let b(t) be the first derivative of 1/8*t**2 - 1/16*t**4 - 1/2*t + 3 + n*t**3. Suppose b(g) = 0. Calculate g.
-1, 1, 2
Let n(u) = -u**3 - u**2 - u. Let v(y) = -4*y**3 - 10*y**2 + 3*y - 4. Let b(s) = s**2 + 7*s + 5. Let p be b(-5). Let j(g) = p*n(g) + v(g). Factor j(m).
(m - 2)**2*(m - 1)
Let o(u) be the third derivative of u**6/1200 + u**5/600 - u**4/240 - u**3/60 + 13*u**2. Factor o(t).
(t - 1)*(t + 1)**2/10
Factor 8*i**3 - i**4 + 10*i**3 - 15*i**3 - 4*i.
-i*(i - 2)**2*(i + 1)
Let q(s) be the first derivative of 3/20*s**4 + 0*s - 2/5*s**2 - 1/25*s**5 - 4 + 0*s**3. Find h, given that q(h) = 0.
-1, 0, 2
Suppose 5*s - 125 - 10 = 0. Suppose 0 = -3*y + 5*f + 26, -11 + s = 2*y - 3*f. Factor -4/3 - 1/3*z**y + 4/3*z.
-(z - 2)**2/3
What is d in 1/2 - 1/2*d**2 - 7/4*d**3 + 7/4*d = 0?
-1, -2/7, 1
Let u(c) = -c**3 + 8*c**2 - 7*c + 4. Let h be u(7). Factor -2*j + 9*j - 2*j**h - j**2 + 3*j**2 - 3*j - 4*j**3.
-2*j*(j - 1)*(j + 1)*(j + 2)
Let i(y) be the first derivative of -y**6/200 + y**5/100 + y**4/20 - 3*y**2/2 + 2. Let s(g) be the second derivative of i(g). Suppose s(h) = 0. What is h?
-1, 0, 2
Suppose -5 = -3*f + 4. Determine y so that -4*y**3 - y - 3*y**2 + 4*y + 3*y**f - 2*y**3 + 3 = 0.
-1, 1
Let p(o) be the second derivative of 0 - 2*o - 9/110*o**5 + 0*o**2 - 4/33*o**3 + 2/11*o**4. Suppose p(w) = 0. What is w?
0, 2/3
Suppose 4*d = d + 12. Let u(g) be the second derivative of -1/36*g**d + 0 + 1/3*g**2 + 1/18*g**3 - 3*g. Determine n, given that u(n) = 0.
-1, 2
Let n(g) be the third derivative of -1/8*g**4 + 0 + 8*g**2 - 3/20*g**5 + 1/40*g**6 + 1/70*g**7 + 0*g + g**3. Find q such that n(q) = 0.
-2, -1, 1
Let i(d) be the first derivative of -3*d**4/32 + d**3/4 + 3*d**2/4 - 3*d - 15. Let i(r) = 0. Calculate r.
-2, 2
Let d(v) be the second derivative of v**8/33600 - v**7/2100 + v**6/400 - v**5/150 - 5*v**4/6 + v. Let o(y) be the third derivative of d(y). Solve o(j) = 0.
1, 4
Let z = 7/38 - -6/19. Let 3*r - 9/2 - z*r**2 = 0. Calculate r.
3
Let n be (0 - -1)*(6 - 4). Solve 5*d + 6*d**n + 9*d**3 - 3*d + 3*d**4 - 2*d = 0.
-2, -1, 0
Let c(a) be the second derivative of 1/63*a**7 - 2/3*a**2 + 0 - 1/15*a**5 + 2/9*a**3 - 1/18*a**6 + 11/36*a**4 - 3*a. What is z in c(z) = 0?
-1, 1/2, 2
Let d(x) = -x + 11. Let y be d(8). Suppose -5*h = 3*g, 0 = y*g + 3*h - 2 - 4. Factor 0*z + z - g*z - 2*z**2.
-2*z*(z + 2)
Let q(k) = -4*k**5 - k**4 + k**2 - 2*k - 3. Suppose 7 = o + 4. Let v(f) = -5*f**5 - 2*f**4 + 2*f**2 - 3*f - 4. Let i(h) = o*v(h) - 4*q(h). Factor i(w).
w*(w - 1)**3*(w + 1)
Let u be (7 + 1 + 0)/2. Determine w so that 0*w**2 + 3*w**2 - 3*w**2 - 2*w**3 + 2*w**u = 0.
0, 1
Let x be -4*(-1)/((-65)/(-10)). Factor x*u + 6/13 + 2/13*u**2.
2*(u + 1)*(u + 3)/13
Let k = -4 + 8. Let q(l) = l. Let g(c) = -c**2 - 3*c. Let i(v) = k*q(v) + 2*g(v). Factor i(j).
-2*j*(j + 1)
Let x(l) be the third derivat