(w) = w**3. Suppose 0*l + 4*l + 8 = 0. Let z(g) = l*u(g) + a(g). Let z(f) = 0. Calculate f.
1
Let f(b) be the first derivative of b**5/25 + 3*b**4/10 + 13*b**3/15 + 6*b**2/5 + 4*b/5 + 18. Let f(h) = 0. Calculate h.
-2, -1
Let w(r) be the first derivative of 2*r**3/3 - 3*r**2 + 2. Solve w(d) = 0.
0, 3
Let q(b) be the second derivative of 0*b**3 - 1/12*b**4 + 0 + 1/60*b**5 + 3/2*b**2 + 2*b. Let i(z) be the first derivative of q(z). Factor i(g).
g*(g - 2)
Let f = 6 + -3. Let n be ((-1)/f)/((-100)/75). Find o such that 0*o - n*o**2 - 1/4*o**3 + 0 = 0.
-1, 0
Let o(b) be the second derivative of 0*b**3 - 1/48*b**4 + 0*b**2 + 3/80*b**5 + b + 1/168*b**7 + 0 - 1/40*b**6. What is l in o(l) = 0?
0, 1
Factor 4/9*l + 10/9*l**4 - 16/9*l**3 + 2/9*l**2 + 0.
2*l*(l - 1)**2*(5*l + 2)/9
Factor 34 - y**2 + y**2 + 5*y**2 - 70*y + 211.
5*(y - 7)**2
Let i(t) = -t**2 + 7*t - 5. Let b be i(6). Let g be -2 + b - (-6)/2. Factor -g*r**3 + r**5 - 5*r - r**4 - r**4 + 8*r**2 + 2 - 3*r + r.
(r - 1)**4*(r + 2)
Let m(z) = z**3 - 16*z**2 + 14*z + 19. Let w be m(15). Let b(u) be the first derivative of -1/2*u**3 + 9/16*u**w - 9/8*u**2 + 3/2*u - 4. Factor b(k).
3*(k - 1)*(k + 1)*(3*k - 2)/4
Let y(d) be the second derivative of -d**7/168 - d**6/60 + d**5/40 + d**4/6 + 7*d**3/24 + d**2/4 + 28*d. Factor y(i).
-(i - 2)*(i + 1)**4/4
Let c(g) be the first derivative of -g**4/4 - g**2/2 + 3. Let q(i) = i**3 - 5*i**2 + 2*i. Let r(w) = 4*c(w) + q(w). Factor r(j).
-j*(j + 1)*(3*j + 2)
Let r(p) be the second derivative of -p + 1/18*p**4 + 0*p**2 + 0 - 1/30*p**5 + 0*p**3. Suppose r(z) = 0. Calculate z.
0, 1
Let c(l) be the third derivative of 3*l**7/350 - l**6/20 + 7*l**5/75 - l**4/15 + 4*l**2. Find y, given that c(y) = 0.
0, 2/3, 2
Let k(c) = -10*c + 23. Let i be k(2). Let 134*j**i + 98*j**5 - 658/3*j**4 + 2/3*j**2 + 8/3 - 16*j = 0. What is j?
-1/3, 2/7, 1
Let p(w) be the third derivative of -w**6/150 + w**4/10 - 4*w**3/15 + 12*w**2. Solve p(h) = 0.
-2, 1
Let u be 2/(-4)*-6 + 0/7. Solve 0*h + 3/2*h**2 + 0 - 3/4*h**u = 0.
0, 2
Factor 5/6*f**2 + 5/6 - 5/3*f.
5*(f - 1)**2/6
Let l = 658 + -2629/4. Factor 3/2*f - 3/4 - l*f**2.
-3*(f - 1)**2/4
Determine q, given that 0 - 1/2*q**5 - 1/2*q**4 + 1/2*q**2 + 3/2*q**3 - q = 0.
-2, -1, 0, 1
Let t(n) be the third derivative of n**8/168 + 2*n**7/35 + 11*n**6/60 + n**5/15 - n**4 - 8*n**3/3 - 45*n**2. Factor t(o).
2*(o - 1)*(o + 1)*(o + 2)**3
Let l(t) be the second derivative of 0 - 1/3*t**4 + 0*t**3 + 2*t + 1/15*t**6 + 0*t**5 + t**2. Suppose l(z) = 0. Calculate z.
-1, 1
Let l(j) be the second derivative of -1/48*j**4 - 1/8*j**2 - 1/12*j**3 - 6*j + 0. Suppose l(m) = 0. Calculate m.
-1
Let p = 5 + -2. Suppose 12*i + 2*i**p - i**2 + 9*i**2 + 0*i**2 - 4*i = 0. Calculate i.
-2, 0
Let f(x) be the second derivative of x**3/6 - x**2/2 + 3*x. Let t(u) = 3*u**2 - 6*u + 3. Let a(l) = -3*f(l) - t(l). Let a(p) = 0. Calculate p.
0, 1
Let o(a) be the first derivative of -a**7/420 + a**5/20 - a**4/6 + a**3 - 2. Let d(j) be the third derivative of o(j). Factor d(q).
-2*(q - 1)**2*(q + 2)
Let x(f) be the third derivative of -f**9/1512 - 3*f**8/1120 - f**7/280 - f**6/720 - f**3/3 - f**2. Let b(g) be the first derivative of x(g). Factor b(l).
-l**2*(l + 1)**2*(4*l + 1)/2
Find o, given that 15/7*o + 18/7 - 3/7*o**2 = 0.
-1, 6
Let o(t) be the second derivative of 1/90*t**6 + 1/126*t**7 + 0 + 0*t**3 + t + 0*t**5 + 0*t**2 + 0*t**4. Find p such that o(p) = 0.
-1, 0
Let s be (99/36 - 2)*8/9. Factor -4/3*p + 2/3*p**2 + s.
2*(p - 1)**2/3
Let t be 2/(-20) - (-552)/720. Determine j so that 0 - 2/3*j + 0*j**2 + t*j**3 = 0.
-1, 0, 1
Factor -9*n - 9*n**2 - 30*n + 27*n**2 + 15*n**2 + 6.
3*(n - 1)*(11*n - 2)
Let f(x) be the second derivative of -x**7/7 - 11*x**6/15 - 23*x**5/15 - 5*x**4/3 - x**3 - x**2/3 + 8*x. Determine o so that f(o) = 0.
-1, -1/3
Suppose n + 2*n = -4*o + 19, 11 = 3*n - 4*o. Factor -1/4*b**4 + 0 + 1/4*b**2 - 1/4*b**3 + 1/4*b**n + 0*b.
b**2*(b - 1)**2*(b + 1)/4
Let h be ((-4 - -4)/(1 - 2))/2. Let m(x) be the first derivative of 2*x**2 + h*x + 1/4*x**4 - 3 - 4/3*x**3. Find j such that m(j) = 0.
0, 2
Let f(w) = w**2 + 7*w + 6. Let k be f(-6). Solve 0 - 4/7*p**2 + k*p + 2*p**5 + 24/7*p**4 + 6/7*p**3 = 0.
-1, 0, 2/7
Let z(v) be the third derivative of -v**7/2520 + v**6/360 - v**5/120 - 5*v**4/24 + 5*v**2. Let c(d) be the second derivative of z(d). Factor c(w).
-(w - 1)**2
Let q(z) be the third derivative of -z**7/2100 - z**6/1200 + z**5/300 + 9*z**2. Factor q(w).
-w**2*(w - 1)*(w + 2)/10
Find r such that 2/3 - 1/3*r**2 - 1/3*r = 0.
-2, 1
Let z(m) = m**3 + m**2 + 3*m - 1. Let s(y) = 6*y**3 + 6*y**2 + 16*y - 6. Let o(j) = -2*s(j) + 11*z(j). Factor o(k).
-(k - 1)*(k + 1)**2
Solve -15*y + 3/2*y**2 + 3/2*y**3 + 12 = 0.
-4, 1, 2
Let m = 11/18 - 1/9. Let d be (-6 - (-17)/2)/(11 + -1). Determine v, given that d*v + m - 1/4*v**2 = 0.
-1, 2
Let d(b) be the first derivative of -b**5/480 - b**4/48 - b**3/12 - 3*b**2 + 2. Let k(n) be the second derivative of d(n). Factor k(h).
-(h + 2)**2/8
Let b be 4 - (0/4)/(-1). Let r(o) be the second derivative of -3/20*o**5 + 0 + 1/42*o**7 + 0*o**2 + 3*o - 1/3*o**b + 1/15*o**6 + 2/3*o**3. Factor r(u).
u*(u - 1)**2*(u + 2)**2
Let b(g) be the third derivative of -g**9/3024 + g**8/1680 + g**7/840 - g**6/360 + g**3/6 + g**2. Let a(w) be the first derivative of b(w). Factor a(k).
-k**2*(k - 1)**2*(k + 1)
Let n be (-1)/4 + (-875)/28. Let y = -30 - n. Suppose -1/2*h**3 + 3/2*h**2 - y*h + 1/2 = 0. Calculate h.
1
What is f in -f**2 + 1/2*f**4 - f**3 + 1/2*f**5 + 1/2 + 1/2*f = 0?
-1, 1
Let o(p) be the third derivative of 0*p**3 + 0*p**4 - 1/20*p**5 + 0*p + 0 - p**2. Solve o(z) = 0 for z.
0
Factor -1/4 + 1/4*v**3 + 1/4*v**2 - 1/4*v.
(v - 1)*(v + 1)**2/4
Let y = 295 - 295. Factor -x**2 + y*x + 1/2*x**3 + 0.
x**2*(x - 2)/2
Find l such that 0 + 12/5*l**2 - 2/5*l**4 - 2*l**3 + 0*l = 0.
-6, 0, 1
Factor 9/2 + 3*n + 1/2*n**2.
(n + 3)**2/2
Suppose 0*p + p = 2. Factor 5*i**3 + 9*i - 14*i**3 - p*i**2 + 6 - 4*i**2.
-3*(i - 1)*(i + 1)*(3*i + 2)
Let h be 34/8 - 6/24. Let z(x) be the second derivative of 0*x**3 + 0*x**h + 0*x**2 + 0 + 1/21*x**7 + 0*x**5 + 0*x**6 + x. Find g, given that z(g) = 0.
0
Factor -4/3*v**3 + 0*v - 2/3*v**2 + 0 + 2*v**4.
2*v**2*(v - 1)*(3*v + 1)/3
Let f(j) be the third derivative of j**6/540 - j**5/90 + j**3/3 + 3*j**2. Let k(s) be the first derivative of f(s). Factor k(p).
2*p*(p - 2)/3
Let v(x) = -4*x**2 - 17*x + 16. Let m(s) = -4*s**2 - 16*s + 16. Let r(g) = 5*m(g) - 4*v(g). Determine h so that r(h) = 0.
-4, 1
Suppose -5*n = z + 5 - 3, -1 = 4*n + z. Let g be -1*44/(-8) + n. Let r + 0 + 7/2*r**3 - g*r**2 = 0. What is r?
0, 2/7, 1
Factor 1 - k + 0*k**5 + k**5 + k**4 - 4*k**2 - 2*k**5 + 2*k**2 + 2*k**3.
-(k - 1)**3*(k + 1)**2
Let t(r) be the first derivative of -15*r**5/4 - 45*r**4/4 - 23*r**3/2 - 9*r**2/2 - 3*r/4 + 8. Suppose t(i) = 0. What is i?
-1, -1/5
Suppose 7 = -3*a + 1. Let y be (3 - 14/a)/4. Solve 0 - 3/2*i**3 - i + y*i**2 = 0.
0, 2/3, 1
Let r be 34/(-9) - 2/9. Let i = 6 - r. Determine p so that -i*p**3 + p + 0*p**5 + p**5 + 8*p**3 = 0.
-1, 0, 1
Let s(w) be the third derivative of w**6/10 - 7*w**5/20 + w**4/4 + w**3/2 + 6*w**2. Suppose s(c) = 0. Calculate c.
-1/4, 1
Let w = 7 - 5. Let r(s) = -s**3 + 2*s**2 + 3*s - 3. Let m be r(w). Suppose h + 0*h**m + 0*h + h**3 - 2*h**2 = 0. What is h?
0, 1
Let d(f) = -f**3 + 4*f**2 + 7*f + 2. Let q(n) = -n**3 + 3*n**2 + 6*n + 2. Let h(y) = -3*d(y) + 4*q(y). Factor h(a).
-(a - 2)*(a + 1)**2
Let a(f) be the first derivative of f**6/60 - f**4/4 - 2*f**3/3 + 3*f**2/2 - 6. Let u(h) be the second derivative of a(h). Solve u(t) = 0 for t.
-1, 2
Let n be (-16)/10 - (0 - 2). Suppose 0 = -19*k + 29*k - 40. Let 0*g - 2/5*g**2 + 0 - 4/5*g**3 - n*g**k = 0. What is g?
-1, 0
Solve -1/2*r - 3/2*r**3 + 0 - 1/2*r**4 - 3/2*r**2 = 0.
-1, 0
Let l(i) = 8*i**3 - 6*i**2 + 18*i - 16. Let q(a) = -a**3 - a**2 + a. Let p = 12 - 18. Let g(w) = p*q(w) - l(w). Factor g(y).
-2*(y - 2)**3
Let m(q) be the second derivative of -q**7/120 - q**6/96 + q**5/120 + q**2/2 - 2*q. Let u(h) be the first derivative of m(h). Factor u(w).
-w**2*(w + 1)*(7*w - 2)/4
Let i(g) = g + 7. Let t be i(-7). Find u, given that t*u**3 + 2*u**3 + 5*u**2 + 7*u**2 + 18*u = 0.
-3, 0
Suppose -2*f + v + 4 = -3*v, 0 = -4*f + 3*v + 3. Suppose -2/7*o**5 + 4/7*o**2 - 4/