rmine m, given that o(m) = 0.
-2, 0
Let o(b) be the first derivative of b**5/270 + b**4/36 + 2*b**3/27 + b**2 + 3. Let h(q) be the second derivative of o(q). Factor h(m).
2*(m + 1)*(m + 2)/9
Let d(w) = -7*w**4 - 8*w**3 + w**2 + 5*w - 3. Let m(y) = 8*y**4 + 8*y**3 - 4*y + 4. Let v(a) = 4*d(a) + 3*m(a). Find l, given that v(l) = 0.
-2, -1, 0, 1
Let j(f) be the third derivative of f**9/362880 + f**8/120960 + f**5/30 - 2*f**2. Let n(r) be the third derivative of j(r). Solve n(i) = 0 for i.
-1, 0
Find g, given that 12*g**2 - 5*g**2 + 12*g - 9*g + g**4 + 5*g**3 = 0.
-3, -1, 0
Let q(x) be the first derivative of -4*x**5/5 - 2*x**4 - 4*x**3/3 - 2. Factor q(t).
-4*t**2*(t + 1)**2
Let n be (-3 + 147/48)*30. Let t = n - 37/24. Let 0 - 1/3*m - t*m**2 = 0. Calculate m.
-1, 0
Let c be 265/85 + 2/(-17). Let 0*q**2 + 0*q + 1/2*q**5 + 3/2*q**4 + 0 + q**c = 0. What is q?
-2, -1, 0
Let y(w) be the third derivative of 0 - 3/40*w**6 - 7/20*w**5 + 0*w - 5/8*w**4 - 1/2*w**3 - 3*w**2. Suppose y(f) = 0. Calculate f.
-1, -1/3
Let f(z) = -2. Let w(j) = -3. Let m(o) = 5*f(o) - 3*w(o). Let i(l) = -2*l**2 - 2. Suppose 2*p = -0*p + 8. Let d(r) = p*m(r) - i(r). Solve d(k) = 0 for k.
-1, 1
Suppose 12 = -3*a + 2*a - 5*k, 0 = -4*k - 12. Let j - 27*j**a - j + 24*j**3 = 0. Calculate j.
0
Let f(h) be the first derivative of -1/5*h**5 + 1/3*h**3 + 0*h + 0*h**2 + 1/6*h**6 - 1/4*h**4 - 2. What is c in f(c) = 0?
-1, 0, 1
Factor -r**2 - 4*r**3 + 3*r**2 + 3*r**2 - 4*r + 3*r**2.
-4*r*(r - 1)**2
Factor 2 + 2/3*t**2 - 8/3*t.
2*(t - 3)*(t - 1)/3
Let f(p) = 2*p**2 + 4*p - 1. Let z be f(-3). Let m(c) be the first derivative of 0*c + c**4 + 2*c**z - 10/3*c**3 + 2 - 2*c**2. Factor m(j).
2*j*(j - 1)*(j + 1)*(5*j + 2)
Let i = 179/2 + -89. Find k such that 1/2*k + 0 - 1/2*k**4 - i*k**3 + 1/2*k**2 = 0.
-1, 0, 1
Let d be -137 - 1*12/(-4). Let a = d + 539/4. Factor 3/4*t**3 + 0 + 0*t - a*t**2.
3*t**2*(t - 1)/4
Let w(p) = p**3 - p**2 + p + 4. Let r be w(0). Let n = 6 - r. Factor -2*f**3 + f + 3*f**2 + f - 4 + f**n.
-2*(f - 2)*(f - 1)*(f + 1)
Let t(x) be the second derivative of -x**7/1050 - x**6/600 + x**5/150 - x**2 - x. Let b(u) be the first derivative of t(u). Find h, given that b(h) = 0.
-2, 0, 1
Suppose 3*o - 5*y + 24 - 63 = 0, 0 = -y - 3. Suppose o - 2 = 3*v. Let 4*q**2 - q - 2*q**v + 3*q = 0. Calculate q.
-1, 0
Let t = -19 - -21. Let 3/2*m**5 + 9/2*m**4 + 3/2*m**t + 0*m + 0 + 9/2*m**3 = 0. Calculate m.
-1, 0
What is a in 45 + 40*a + 25 + 30 + 4*a**2 = 0?
-5
Suppose -4*n - 3*i = i + 4, 0 = i + 5. Determine q so that -8/3 - 98/3*q**5 - 350/3*q**n - 80/3*q - 290/3*q**2 - 470/3*q**3 = 0.
-1, -2/7
Let u(r) be the first derivative of 0*r - 1/11*r**2 - 4/33*r**3 - 3 - 1/22*r**4. Suppose u(v) = 0. Calculate v.
-1, 0
Let o(c) be the second derivative of 2/5*c**4 + 0 + 4*c + 3/10*c**3 + 4/25*c**5 + 1/10*c**2. Let o(v) = 0. What is v?
-1, -1/4
Let u(y) = 2*y**2 - 2*y. Let a(r) be the first derivative of 4*r**3/3 - 3*r**2/2 - r - 3. Let f(o) = 6*a(o) - 13*u(o). Determine z so that f(z) = 0.
1, 3
Let x(g) = g**2 - g. Let u be x(-1). Suppose 0 = -u*c - m - 1 - 0, -4*c + 4*m = -4. Determine z, given that c*z + 0 + 1/2*z**2 + 1/4*z**3 = 0.
-2, 0
Let p(w) be the first derivative of 7/8*w**4 - 3*w**3 - 4*w + 5*w**2 - 3 - 1/10*w**5. Solve p(v) = 0.
1, 2
Suppose -l - 4 = -4*r, -5*l - 4*r = -19 - 9. Factor -1/3*f**l - 1/3*f**3 + 0*f + 0*f**2 + 0.
-f**3*(f + 1)/3
Factor 0*j - 2 + 1/2*j**2.
(j - 2)*(j + 2)/2
Factor -47 - 3 + 9*g**3 + 18*g**2 + 30*g - 17*g**3 + 10*g**3.
2*(g - 1)*(g + 5)**2
Let r(d) be the first derivative of d**5/4 - 25*d**4/8 + 55*d**3/4 - 25*d**2 + 20*d - 4. Let r(x) = 0. What is x?
1, 4
Let v be (-3)/(-4) + (-1)/(-4). Suppose -3 - v = -2*c. Solve -4/7*r**c + 0 + 2/7*r**3 - 2/7*r + 4/7*r**4 = 0 for r.
-1, -1/2, 0, 1
Let o(c) be the first derivative of c**6/14 - 12*c**5/35 + 15*c**4/28 - 2*c**3/7 - 10. Factor o(l).
3*l**2*(l - 2)*(l - 1)**2/7
Let g(z) = 2*z**2 - 9*z + 1. Let o be g(6). Suppose 0 = o*s - 16*s. What is a in -2*a**2 + s - 4/7*a + 18/7*a**3 = 0?
-2/9, 0, 1
Let l(w) = -4*w**4 + 5*w**3 + 7*w**2 - 2*w + 3. Let c(f) = 15*f**4 - 21*f**3 - 28*f**2 + 8*f - 13. Let n(b) = -6*c(b) - 26*l(b). Find q, given that n(q) = 0.
-1, 0, 2/7, 1
Suppose -5*v + 35 = 4*q, 3*q = 2*v + 4 + 5. Suppose -3*m = 2*m, 5*i - q*m = 0. Suppose 0*w + 3/2*w**3 + i*w**4 + 0 - 3/2*w**5 + 0*w**2 = 0. What is w?
-1, 0, 1
What is r in 0 + 5/4*r**5 - 15/4*r**4 + 5/2*r**3 + 0*r**2 + 0*r = 0?
0, 1, 2
Suppose -12*s + 14*s = 0. Let c(t) be the second derivative of -2/45*t**6 - 1/30*t**5 + 0*t**2 + 0 - 1/63*t**7 + s*t**3 + 0*t**4 + t. Factor c(b).
-2*b**3*(b + 1)**2/3
Find j, given that 3/5*j**2 + 1/5*j**4 + 1/5*j + 3/5*j**3 + 0 = 0.
-1, 0
Let w(h) be the third derivative of 1/60*h**6 + 0 + 0*h**3 - 2/315*h**7 + 1/45*h**5 - 1/168*h**8 + 0*h**4 - h**2 + 0*h. Let w(y) = 0. Calculate y.
-1, -2/3, 0, 1
Let c = -92 + 94. Let h(y) be the second derivative of 1/15*y**3 - 3*y - 1/50*y**5 + 0 + 1/6*y**4 - 1/25*y**6 - 2/5*y**c. Find o, given that h(o) = 0.
-1, 2/3, 1
Let a(w) be the first derivative of 48/25*w**5 + 19/2*w**4 - 118/15*w**3 - 2/5*w - 48/5*w**6 - 2 + 13/5*w**2. Determine z so that a(z) = 0.
-1, 1/4, 1/3
Suppose 18*j**2 + 2*j**4 - 10 + 18*j + 10*j**3 + 14 - 4*j = 0. Calculate j.
-2, -1
Solve -12/19 - 94/19*u - 176/19*u**2 + 32/19*u**3 = 0.
-1/4, 6
Let a(g) be the second derivative of 3*g**5/40 - 13*g**4/8 + 12*g**3 - 27*g**2 - 12*g. Solve a(o) = 0.
1, 6
Let p be ((-9)/30 + 0)/(12/(-16)). Let -p*h**2 - 4/5*h + 0 = 0. Calculate h.
-2, 0
Factor 0*n + 0*n**2 + 9/5*n**4 + 0 - 6/5*n**3 - 3/5*n**5.
-3*n**3*(n - 2)*(n - 1)/5
Let l(y) be the first derivative of -y**3/4 + 7*y**2/8 - y/2 + 21. Solve l(g) = 0.
1/3, 2
Let h = -13 + 29/2. Solve 3/2*i**2 - h*i + 0 = 0 for i.
0, 1
Let c = 113 + -111. Let k(f) be the third derivative of -c*f**2 + 1/18*f**3 + 0*f + 0 + 1/180*f**5 + 1/36*f**4. Find t such that k(t) = 0.
-1
Let f be 4 + 302/(-40) - -1. Let t = f - -33/10. Factor 1/4*s**2 + 1/2*s - t.
(s - 1)*(s + 3)/4
Suppose -3*x - x + 18 = 5*a, 6 = -x + 4*a. Determine h so that 5/4*h**4 - 1/2 - 7/4*h**3 - 3/4*h**x + 7/4*h = 0.
-1, 2/5, 1
Let p(f) be the first derivative of 1/3*f**2 - 1/3*f - 1/9*f**3 - 4. Determine b so that p(b) = 0.
1
Suppose -s + 6*s = 5. Let g be ((0 - 0)/s)/(-1). What is z in -z - z**5 - 4*z**2 - 3*z**4 + g*z**2 + 0*z**4 - 6*z**3 - z**4 = 0?
-1, 0
Let -1/3*b + 2/3 - 1/3*b**2 = 0. What is b?
-2, 1
Let v be ((-6)/(-16))/(1 - (-3)/(-12)). Factor -v*s - 1/2*s**2 + 0.
-s*(s + 1)/2
Let n(l) be the third derivative of l**7/840 + l**6/120 + l**5/40 + 5*l**4/24 + 6*l**2. Let u(o) be the second derivative of n(o). Determine r so that u(r) = 0.
-1
Let q be (21/9)/((-3)/(-9)). Determine c, given that 7*c**2 + 15*c + 7*c**2 - 5*c**2 + q - 1 = 0.
-1, -2/3
Let c(j) be the third derivative of 1/32*j**4 + 6*j**2 + 0 + 1/80*j**5 + 0*j + 1/480*j**6 + 1/24*j**3. Determine b, given that c(b) = 0.
-1
Let j(w) be the third derivative of w**7/70 - w**6/20 + 41*w**2 + w. Determine l, given that j(l) = 0.
0, 2
Let a(v) be the first derivative of 1/2*v**2 - 3 + 0*v**3 - 1/4*v**4 + 0*v. Let a(t) = 0. Calculate t.
-1, 0, 1
Let c(x) be the second derivative of x**6/30 + x**5/10 - x**4/3 - x**3/3 + 3*x**2/2 - 8*x. Factor c(b).
(b - 1)**2*(b + 1)*(b + 3)
Let o(l) be the second derivative of l**4/6 - 4*l. Let o(f) = 0. Calculate f.
0
Let b(u) = -4*u**2 + 3*u + 11. Let c(x) = -x**2 - 1. Suppose 0*q - q + 1 = 0. Let d(o) = q*b(o) + 5*c(o). Solve d(s) = 0.
-2/3, 1
Let n = 6 + -3. Determine v so that -1 + 8*v**n + 4*v**2 - 5 + 4*v**4 + 6 = 0.
-1, 0
Let v be (9/42)/((-810)/(-21)). Let r(d) be the third derivative of 0*d + 2*d**2 + 0 - v*d**5 + 1/9*d**3 - 1/72*d**4. Suppose r(y) = 0. Calculate y.
-2, 1
Let s(c) be the third derivative of -c**5/30 - c**4/2 - 3*c**3 + 8*c**2. Let s(w) = 0. Calculate w.
-3
Let p(t) = -85*t**3 + 120*t**2 + 205*t - 35. Let j(c) = -5*c**3 + 7*c**2 + 12*c - 2. Let q(y) = 35*j(y) - 2*p(y). Factor q(v).
-5*v*(v - 2)*(v + 1)
Suppose 2*d + 26 = 4*i - 3*d, -d + 18 = 5*i. Let f(x) be the third derivative of 0*x**3 - 1/150*x**5 + x**2 + 0*x + 0 + 1/60*x**i. Factor f(b).
-2*b*(b - 1)/5
Let g(b) be the first derivative of 4*b**3/3 + 4*b**2 + 6. Factor g(r).
4*r*(r + 2)
Let s(j) = j**3 + 10*j**2 - 12*j - 7. Let u be s(-11). Let k be ((-7)/(-1