**3 + 0 + 1/2*q = 0. Calculate q.
-1, 0, 1
Let p(w) be the third derivative of 0 - 1/48*w**4 - 5*w**2 - 1/240*w**5 + 0*w + 0*w**3. Solve p(f) = 0 for f.
-2, 0
Let u(m) = 20*m**2 + 11*m + 14. Let p(l) = -7*l**2 - 4*l - 5. Let j(a) = 11*p(a) + 4*u(a). Let k(x) = -1. Let c(z) = j(z) + 4*k(z). What is y in c(y) = 0?
-1, 1
Let a(k) be the first derivative of -k**6 + 9*k**5/5 - 3*k**4/32 - 3*k**3/4 - 3*k**2/16 + 17. Let a(p) = 0. What is p?
-1/4, 0, 1
Let w = 709 + -707. Factor 0*h**w - 1/2*h**3 + 1/4*h**4 + 0 + 0*h.
h**3*(h - 2)/4
Let c be 192/(-33) + 2 - -4. Factor 0*k**2 + c*k**4 + 4/11*k**3 - 2/11 - 4/11*k.
2*(k - 1)*(k + 1)**3/11
Let t(w) be the first derivative of w**6/21 + 6*w**5/35 - w**4/14 - 22*w**3/21 - 12*w**2/7 - 8*w/7 + 7. Factor t(h).
2*(h - 2)*(h + 1)**3*(h + 2)/7
Let m(x) = -3*x**4 - 6*x**3 - 3*x**2 + 12*x. Let g(t) = t**2 - t + 5. Let r(b) = 1. Let s(k) = g(k) - 5*r(k). Let l(h) = m(h) + 6*s(h). Factor l(v).
-3*v*(v - 1)*(v + 1)*(v + 2)
Let k(f) be the first derivative of 0*f - 4 + 0*f**2 + 0*f**4 + 1/5*f**5 + 0*f**3. Determine b, given that k(b) = 0.
0
Let u(p) = 2*p + 2. Let z be u(-5). Let y(g) = g**2 - g. Let k(j) = 6*j**2 + 4*j. Let t(o) = z*y(o) - k(o). What is b in t(b) = 0?
0, 2/7
Let k(w) be the third derivative of -w**8/252 + 4*w**7/315 - 2*w**5/45 + w**4/18 + 13*w**2. Suppose k(i) = 0. What is i?
-1, 0, 1
Let p(o) be the second derivative of 0 + 5*o - 1/15*o**4 + 0*o**2 + 0*o**3 - 1/50*o**5 + 1/75*o**6. Find t, given that p(t) = 0.
-1, 0, 2
Let s be 107/7 - (-4)/(-14). Let y = s + -11. Find a, given that -y*a**2 + a + 2 - 4*a - 1 = 0.
-1, 1/4
Suppose -75 = -18*u - 3. Factor -2/3*i**3 + 2/3*i**u + 0*i**2 + 0 + 0*i.
2*i**3*(i - 1)/3
Let r(q) = -2*q**2 + q**2 + 0*q**2 + q**3. Let z(c) = 3*c**4 + 3*c**3 - 15*c**2 + 15*c - 6. Let i(h) = 6*r(h) - z(h). Factor i(u).
-3*(u - 1)**3*(u + 2)
Let a(k) = 15*k - 2. Let t be a(3). Let m be 6/(-24) - t/(-12). Find v such that -4/3*v + m*v**3 + 0 - 2*v**2 = 0.
-2/5, 0, 1
Let c(i) be the third derivative of -i**8/1008 + i**7/315 + i**6/360 - i**5/90 + 39*i**2. Determine s, given that c(s) = 0.
-1, 0, 1, 2
Let b(l) be the first derivative of -l**7/168 + l**6/40 - 3*l**5/80 + l**4/48 - 2*l - 3. Let z(x) be the first derivative of b(x). What is u in z(u) = 0?
0, 1
Let o(t) be the second derivative of -2/5*t**4 + 11/50*t**5 - 1/25*t**6 + 4/15*t**3 + 0*t**2 + 7*t + 0. Find i, given that o(i) = 0.
0, 2/3, 1, 2
Let a(f) be the first derivative of -f**6/180 + f**5/90 - f**2/2 - 3. Let i(w) be the second derivative of a(w). Factor i(b).
-2*b**2*(b - 1)/3
Let y(q) be the first derivative of q**6/9 + 4*q**5/15 - 4*q**3/9 - q**2/3 + 1. Find h such that y(h) = 0.
-1, 0, 1
Let u = -3 - -3. Let m(z) be the first derivative of 1/2*z**4 - 1 + u*z**3 - 3*z**2 - 4*z. Factor m(y).
2*(y - 2)*(y + 1)**2
Factor 0*y**2 + 0*y + 0 + 1/6*y**3.
y**3/6
Let d(f) be the second derivative of 5*f**6/252 - f**5/21 + f**4/21 - f**3/6 + 4*f. Let u(x) be the second derivative of d(x). Solve u(o) = 0 for o.
2/5
Let n(a) be the first derivative of a**3 + 24*a**2 + 69. Determine y, given that n(y) = 0.
-16, 0
Factor -1/2*l**2 + 3/4*l**5 + 0*l + 7/4*l**3 + 0 - 2*l**4.
l**2*(l - 1)**2*(3*l - 2)/4
Let i(p) = -p**2 - 7*p + 11. Let n be i(-8). Solve 2*f**3 - 2*f**3 - f**n + 4*f**3 = 0 for f.
0
Suppose -6*m + 3*m = -0*m. Let i(w) be the second derivative of 2/9*w**4 + m*w**2 + 2/9*w**3 - 1/10*w**6 + 4*w + 0 - 1/20*w**5. Solve i(d) = 0.
-2/3, 0, 1
Let t(w) be the third derivative of 5*w**8/1344 - w**7/56 + w**6/32 - w**5/48 + 5*w**2. Factor t(q).
5*q**2*(q - 1)**3/4
Let f(g) = 11*g**5 - 6*g**4 - 25*g**3 - 23*g**2. Let i(k) = -16*k**5 + 9*k**4 + 38*k**3 + 34*k**2. Let t(j) = 7*f(j) + 5*i(j). Determine c, given that t(c) = 0.
-1, 0, 3
Let u(v) be the second derivative of -v**7/105 - v**6/30 + v**4/6 + v**3/3 + 3*v**2/2 + 2*v. Let m(i) be the first derivative of u(i). Factor m(t).
-2*(t - 1)*(t + 1)**3
Let o = -15 + 17. Let w(f) = -f**5 + 2*f**4 - f**3 + 2*f. Let t(i) = -2*i**5 + 2*i**4 - i**3 + i**2 + 3*i. Let s(r) = o*t(r) - 3*w(r). Factor s(c).
-c**2*(c - 1)*(c + 1)*(c + 2)
Let g(j) be the first derivative of 2 + 5/12*j**2 + 2/9*j**3 + 1/24*j**4 + 1/3*j. Factor g(x).
(x + 1)**2*(x + 2)/6
Let f(z) = z**3 + 22*z**2 - 48*z + 2. Let m be f(-24). Suppose -1/3 + m*n + 4/3*n**3 - 3*n**2 = 0. Calculate n.
1/4, 1
Let i(k) = k**4 + k**2 - k. Let x(t) = 6*t**4 - t**3 + 8*t**2 - 6*t. Let g(o) = 21*i(o) - 3*x(o). Factor g(v).
3*v*(v - 1)*(v + 1)**2
Let r(k) = 20*k**5 - 11*k**4 - 16*k**3 + 7*k**2 + 11*k - 11. Let h(b) = 7*b**5 - 4*b**4 - 5*b**3 + 2*b**2 + 4*b - 4. Let q(y) = 11*h(y) - 4*r(y). Factor q(z).
-3*z**2*(z - 1)**2*(z + 2)
Let u(m) be the first derivative of 8/21*m**3 - 4/7*m**2 + 2/7*m + 3. Factor u(h).
2*(2*h - 1)**2/7
Let a(j) be the third derivative of -j**5/40 + j**4/12 + 18*j**2. Find p such that a(p) = 0.
0, 4/3
Let n(l) be the first derivative of 4*l**5/5 - 4*l**3 - 4*l**2 + 5. Factor n(s).
4*s*(s - 2)*(s + 1)**2
Suppose 9 = -w + 3*g, -2*w - 2*g = -g - 3. Let p(c) be the first derivative of -1/7*c**2 - 1 + w*c - 1/14*c**4 + 4/21*c**3. What is q in p(q) = 0?
0, 1
Determine x so that 18/7 + 3*x + 1/7*x**3 + 8/7*x**2 = 0.
-3, -2
Let x(c) be the second derivative of 0*c**4 + 0*c**2 + 0 + 1/30*c**5 - 1/45*c**6 + 0*c**3 - 2*c. Determine m so that x(m) = 0.
0, 1
Let z(t) be the first derivative of -25*t**4/12 - 20*t**3/9 + 5*t**2/6 + 24. Find o such that z(o) = 0.
-1, 0, 1/5
Suppose 2 = 4*w - 2*s, w + 18 = -5*s + 35. Factor -o - 1/2*o**w + 1/2*o**3 + 0.
o*(o - 2)*(o + 1)/2
Let y be -2 + (-3 - 75/(-9)). Suppose -8 + 20 = 4*q. Find x, given that -2/3*x**q - y*x - 8/3*x**2 - 4/3 = 0.
-2, -1
Let r(m) be the first derivative of 0*m**2 - 1/4*m**4 + 3 + 0*m + 1/3*m**3. Let r(k) = 0. Calculate k.
0, 1
Determine l so that 3 - 7 - l**2 - 9*l + 6*l + 7*l = 0.
2
Suppose 0 = r + 5*n + 20, 2*r - 5*n - 19 = 1. Let m(f) be the third derivative of -4*f**2 + 0 + 11/16*f**4 - 1/4*f**3 - 9/20*f**6 + r*f - 3/5*f**5. Factor m(t).
-3*(t + 1)*(6*t - 1)**2/2
Suppose 4 + 6 = -5*c. Let l be (20/6 + c)*3. Factor 2*w**2 - w + 2*w**4 - 4*w**l + w.
-2*w**2*(w - 1)*(w + 1)
Let n(c) be the second derivative of -c**7/210 - c**6/75 - c**5/100 - 6*c. Determine w, given that n(w) = 0.
-1, 0
Suppose 0 = 2*s + 3*s. Let o(u) be the third derivative of -u**2 + 0*u + s*u**3 + 0 + 1/240*u**5 - 1/48*u**4. Factor o(q).
q*(q - 2)/4
Let j(c) be the third derivative of c**8/288 - c**7/252 - 23*c**6/720 + 29*c**5/360 - c**4/36 - c**3/9 + 10*c**2. Solve j(z) = 0.
-2, -2/7, 1
Let o be (2/(-1) + 9)*1. Let j = o - 5. Factor j*g**4 + g**2 - 5*g**2 + 2 + 0.
2*(g - 1)**2*(g + 1)**2
Let q(j) be the third derivative of -j**7/35 - j**6/15 - j**5/30 - 13*j**2. Determine t so that q(t) = 0.
-1, -1/3, 0
Let f be (-10)/(-3) - (10 + (-4 - 3)). Factor 1/3*n + f*n**2 + 0.
n*(n + 1)/3
Let t(k) = k**2 - 4*k + 3. Let v be t(3). Determine s so that 2/5*s**3 + v*s**2 - 2/5*s + 0 = 0.
-1, 0, 1
Suppose 6*j - 4*j = 14. Let o be (1/(-14))/((-2)/j). What is q in -o*q + 1/4 + 1/4*q**3 - 1/4*q**2 = 0?
-1, 1
Let y(j) be the third derivative of 3*j**2 + 1/12*j**4 - 1/60*j**6 + 0*j + 1/3*j**3 + 0 - 1/30*j**5. Let y(v) = 0. Calculate v.
-1, 1
Let h(r) = -5*r**4 - 4*r**3 + r**2 - 3. Let d(v) be the second derivative of 2*v**6/15 + v**5/5 + v**2 + 6*v. Let x(m) = 3*d(m) + 2*h(m). Solve x(l) = 0 for l.
-1, 0
Let j(x) be the first derivative of 0*x**3 + 0*x**2 + 2*x + 3 - 1/12*x**4. Let l(g) be the first derivative of j(g). Solve l(s) = 0 for s.
0
Let a(m) = -m**2 + m + 1. Let f = -5 - -4. Let i(d) = 10*d**2 - 2*d - 4. Let p = -8 + 4. Let x(c) = f*i(c) + p*a(c). Factor x(u).
-2*u*(3*u + 1)
Let m be (1 - 1)*(-19)/38. Let s(b) be the second derivative of m - 1/3*b**3 - b + 1/10*b**5 + 0*b**2 - 1/15*b**6 + 1/6*b**4. Suppose s(l) = 0. What is l?
-1, 0, 1
Let o be 27/(-81)*(1 + -10). Find g, given that 17/4*g**o - 13/4*g**4 + 3/4*g**5 - 2*g - 3/4*g**2 + 1 = 0.
-2/3, 1, 2
Suppose -j = 2 - 4. Let s(g) be the third derivative of -1/90*g**5 + 0*g - 7/360*g**6 + 0*g**3 + g**j + 0*g**4 + 0. Factor s(r).
-r**2*(7*r + 2)/3
Factor 0 + 10/3*k**2 - 2*k**3 - 4/3*k + 2/3*k**5 - 2/3*k**4.
2*k*(k - 1)**3*(k + 2)/3
Let g be 95/(-150) - (-2)/3. Let w(k) be the third derivative of k**2 + 0*k + 1/6*k**4 + g*k**5 + 0 + 1/3*k**3. Factor w(u).
