3. Determine m, given that -w + 10/11*m - 4/11*m**2 = 0.
1/2, 2
Let h(x) be the first derivative of -x**2 + 1/12*x**4 + 0*x + 0*x**3 + 1/30*x**5 - 1. Let c(z) be the second derivative of h(z). Determine n so that c(n) = 0.
-1, 0
Let l(i) = -7*i + 6*i - i**4 + i. Let b(o) be the first derivative of -14*o**5/5 - o**4 - 2*o**3/3 + 1. Let c(q) = -b(q) + 12*l(q). Solve c(r) = 0 for r.
-1, 0
Let v(z) be the second derivative of z**5/40 - z**4/24 - z**3/6 + 3*z. Determine u so that v(u) = 0.
-1, 0, 2
Let n = 8 + -8. Factor -10 + n*b**2 + 6 + 2*b + 2*b**2.
2*(b - 1)*(b + 2)
Let q = 13 + -7. Suppose q = 4*l - l. Factor 2/9*c**4 + 0 + 2/9*c**l - 4/9*c**3 + 0*c.
2*c**2*(c - 1)**2/9
Let t(x) be the second derivative of 7*x**5/180 + 5*x**4/72 - x**3/9 - x**2/2 - x. Let r(b) be the first derivative of t(b). Factor r(d).
(d + 1)*(7*d - 2)/3
Let j(w) = -6*w**2 + 4*w + 9. Let a(f) = f**2 - f - 1. Let i(r) = -35*a(r) - 5*j(r). Factor i(d).
-5*(d - 2)*(d - 1)
Let v(l) = 14*l**4 - 22*l**3 - 50*l**2 - 10*l. Let n(d) = -d**3 - d. Let r(s) = 2*n(s) + v(s). Solve r(t) = 0.
-1, -2/7, 0, 3
Let g(b) = -5*b**2 + 0*b**3 + b**3 + 4*b**2 + 2*b**3 + b. Let t be g(1). Factor -f**3 + f - t*f - 6*f**2 + 3*f**3 - 6*f**3.
-2*f*(f + 1)*(2*f + 1)
Suppose 5*m + 0*m - n - 19 = 0, -3 = -3*n. Let p(f) be the second derivative of f**2 + 0 + 1/6*f**m - 2*f + 2/3*f**3. Suppose p(i) = 0. Calculate i.
-1
Let a(c) be the second derivative of -c**5/120 + c**2 - 5*c. Let b(t) be the first derivative of a(t). Let b(j) = 0. What is j?
0
Let 4*s - 4*s**3 - 23 + 23 = 0. Calculate s.
-1, 0, 1
Let d(t) be the third derivative of t**6/420 - t**5/42 + t**4/28 + 3*t**3/7 - 7*t**2. Factor d(o).
2*(o - 3)**2*(o + 1)/7
Let a(v) be the second derivative of -1/9*v**3 - 1/24*v**5 + 0 - 3*v + 0*v**2 - 1/180*v**6 - 1/9*v**4. Solve a(l) = 0.
-2, -1, 0
Let b = 29 - 11. Let -31*x**2 - b*x + 7*x**2 + 22*x**3 - 6*x**4 + 26*x = 0. Calculate x.
0, 2/3, 1, 2
Factor -7*t**5 + 21*t**4 + 16*t**5 + t**2 - 3*t**2 + 15*t**3 + 5*t**2.
3*t**2*(t + 1)**2*(3*t + 1)
Let q(z) be the third derivative of z**8/280 - 13*z**7/280 + z**6/4 - 7*z**5/10 + z**4 - z**3/3 - 7*z**2. Let g(k) be the first derivative of q(k). Factor g(l).
3*(l - 2)**3*(2*l - 1)
Solve -2/13*o**2 + 2/13*o**3 + 2/13*o**4 + 0*o - 2/13*o**5 + 0 = 0.
-1, 0, 1
Let d(h) be the second derivative of -h**7/7560 + h**6/1080 - h**4/4 + 3*h. Let i(a) be the third derivative of d(a). Determine r, given that i(r) = 0.
0, 2
Let i(n) = -9*n**2 - 14*n - 5. Let y(t) = -55*t**2 - 85*t - 30. Let c(g) = -25*i(g) + 4*y(g). Factor c(o).
5*(o + 1)**2
Suppose 0 = n + 2*k + k + 2, -5*k = 5*n. Let t(b) be the first derivative of -2/9*b**3 + 0*b + 0*b**2 + n. Factor t(m).
-2*m**2/3
Let r(d) = -6*d**2 + 13*d + 6. Let a(t) = t**2 - 2*t - 1. Let y(q) = 39*a(q) + 6*r(q). Factor y(j).
3*(j - 1)*(j + 1)
Let n = -11748/5 - -2357. Let c = n + -7. Factor -4/5 - c*o + 2/5*o**2.
2*(o - 2)*(o + 1)/5
Let c(f) be the first derivative of f**6/10 - 6*f**5/25 - 3*f**4/10 + 8*f**3/5 - 21*f**2/10 + 6*f/5 + 49. Factor c(s).
3*(s - 1)**4*(s + 2)/5
Let y(j) be the second derivative of -j**5/60 + j**4/18 + j**3/6 + j. Let y(d) = 0. What is d?
-1, 0, 3
Let h = -5 - -7. Factor -11*x**2 + 2*x**2 - h - 11*x - 1 - 3*x**3 + 2*x.
-3*(x + 1)**3
Suppose -3*o**5 - 3*o**5 - 20*o**4 + 375*o**3 + 10*o - 395*o**3 + 4 = 0. Calculate o.
-1, 2/3
Factor 15 + 4*w**4 + 14*w**3 + 24*w**2 + 16*w + 2*w**3 - 11.
4*(w + 1)**4
Determine u, given that -3 - 1/3*u**2 + 2*u = 0.
3
Suppose -3*r = -g + 1 + 8, 4*g + 2*r - 22 = 0. Let f(b) = b. Let m(d) = 3*d**2 - 12*d. Let s(l) = g*f(l) + m(l). Solve s(w) = 0.
0, 2
Let q(p) be the first derivative of -2*p**5/15 + 4*p**3/9 - 2*p/3 + 1. Find b such that q(b) = 0.
-1, 1
Suppose 2*h + 3 = -5*v + 2, 4*v + 6 = h. Factor -7*p**5 - p**4 - p**5 + 12*p**2 + 6*p**3 + 17*p**4 - 30*p**h.
-2*p**2*(p + 1)*(2*p - 3)**2
Let o = 8 - 4. Suppose o*i - i - 12 = 0. Factor -2/7*x**2 + 0*x + 0 + 0*x**3 + 2/7*x**i.
2*x**2*(x - 1)*(x + 1)/7
Let n(x) be the first derivative of 0*x**2 + 0*x + 3/28*x**4 - 4 + 3/35*x**5 + 1/21*x**3 + 1/42*x**6. Factor n(b).
b**2*(b + 1)**3/7
Let t(b) = b**2 - 4*b - 3. Suppose 7*f - 3*f = 24. Let u(j) = -7*j - 2*j - 11*j - j - 16 + f*j**2. Let p(r) = -11*t(r) + 2*u(r). Factor p(z).
(z + 1)**2
Let o(s) = -5*s**5 - 4*s**4 - 2*s**3 + 4*s**2 + s. Let j(g) = -21*g**5 - 15*g**4 - 9*g**3 + 15*g**2 + 3*g. Let q(r) = -2*j(r) + 9*o(r). Solve q(f) = 0 for f.
-1, 0, 1
Let a = 38/9 - 4. Let z(c) be the second derivative of 1/18*c**4 - 13/45*c**6 + 0*c**2 - 3/10*c**5 - 5/63*c**7 + a*c**3 + 0 - c. Determine l so that z(l) = 0.
-1, 0, 2/5
Let t(x) be the third derivative of -x**7/1260 - x**6/90 - x**5/15 - x**4/12 - 2*x**2. Let b(s) be the second derivative of t(s). Solve b(d) = 0.
-2
Factor 0*k**2 + 0*k + 2/3*k**4 + 0 + 2/3*k**3.
2*k**3*(k + 1)/3
Let f(c) be the third derivative of -c**8/6720 + c**7/1680 + c**6/120 + c**5/20 - 3*c**2. Let u(w) be the third derivative of f(w). Find y, given that u(y) = 0.
-1, 2
Let y(j) be the third derivative of j**5/30 + 13*j**4/12 + 4*j**3 + 16*j**2 - 3*j. Factor y(o).
2*(o + 1)*(o + 12)
Let q(b) = 2*b + 12. Let f be q(-6). Let i(x) be the third derivative of 0 + f*x + 1/3*x**3 + 1/30*x**5 + 1/6*x**4 + x**2. Factor i(l).
2*(l + 1)**2
Factor 15*x**5 + 51*x**3 + 39*x**3 - 33*x**2 + 6*x - 51*x**4 - 27*x**3.
3*x*(x - 1)**3*(5*x - 2)
Let p = 150 - 104. Let y be p/14 - (-10)/(-35). Factor -2*q**2 + 4*q**y + 0*q**2 - 2*q**3.
2*q**2*(q - 1)
Let n be (-2 - -5) + 1 + -2. Factor 4 + 5 - 1 + 2*y**n + 0 - 8*y.
2*(y - 2)**2
Suppose 4*p - 10 = 2*p. Factor 7 + t**p - 7 + t**4.
t**4*(t + 1)
Let x(c) be the third derivative of -3/4*c**3 + 1/40*c**6 + 1/32*c**4 + 2*c**2 + 7/60*c**5 + 0*c + 0. Factor x(a).
(6*a**2 + 5*a - 6)/4
Let p(k) = k**2 - k + 1. Let o(z) = -z**2 + 3*z. Let l be o(2). Let v(c) = 8*c - c - c - 8*c**l - 10. Let g(j) = -10*p(j) - v(j). Factor g(b).
-2*b*(b - 2)
Let q(s) be the first derivative of -1/15*s**3 + 0*s + 1/10*s**2 - 5. What is j in q(j) = 0?
0, 1
Find m such that 10/7*m**2 + 2/7*m**3 + 8/7 + 16/7*m = 0.
-2, -1
Find y such that -8*y**2 - 12 + 5*y**2 + y**2 + 5*y**2 = 0.
-2, 2
Let p(j) = -j**3 + j**2 + j + 1. Let n(c) = c**4 + 5*c**3 - 7*c**2 - 5*c - 2. Let w(b) = n(b) + 4*p(b). Factor w(o).
(o - 1)**2*(o + 1)*(o + 2)
Let z(p) be the first derivative of p**7/315 + p**6/90 - p**5/90 - p**4/18 - p**2/2 - 1. Let c(u) be the second derivative of z(u). Find s such that c(s) = 0.
-2, -1, 0, 1
Let u(j) be the first derivative of 3 + 0*j + 1/18*j**3 - 1/6*j**2. Factor u(n).
n*(n - 2)/6
Let i = 5 - 3. Suppose -6 = -4*w - i. Solve -3*a**2 + 4*a**5 + w - a + 4*a + 2*a**2 - 7*a**3 = 0.
-1, -1/2, 1
Let s be 3 + -1 - (-2 + 4). Suppose 1 + 3*u + u**2 - 4*u + u**3 - 2 + s*u = 0. Calculate u.
-1, 1
Let d(w) be the first derivative of 4*w**2 + 1/24*w**4 + 2/3*w**3 + 7 + 32/3*w. Factor d(q).
(q + 4)**3/6
Factor 1/10*w**2 + 0 + 1/10*w.
w*(w + 1)/10
Let g(c) be the second derivative of c**5/60 + c**4/6 + 2*c**3/3 - 3*c**2/2 - 8*c. Let r(u) be the first derivative of g(u). Determine t, given that r(t) = 0.
-2
Determine l, given that 3/7*l - 3/7*l**3 + 2/7*l**2 - 2/7 = 0.
-1, 2/3, 1
Let z(h) be the second derivative of h**7/56 + 3*h**6/40 + 9*h**5/80 + h**4/16 + 5*h. Let z(w) = 0. Calculate w.
-1, 0
Let f = -10 + 6. Let x = -1 - f. Factor 0*p - 6/5*p**4 + 8/5*p**x + 0 - 2/5*p**2.
-2*p**2*(p - 1)*(3*p - 1)/5
Let z be (-2)/(-4) + (-4)/440. Let k = z - 1/11. Determine a, given that -4/5 - k*a**2 - 6/5*a = 0.
-2, -1
Let j(d) be the first derivative of 2*d**3/27 - 2*d**2/3 + 16*d/9 - 28. Determine c, given that j(c) = 0.
2, 4
Factor 1/4*j - 1/2*j**2 + 1/4*j**5 + 1/4 - 1/2*j**3 + 1/4*j**4.
(j - 1)**2*(j + 1)**3/4
Let j be ((-3)/11)/((-18)/12). Solve -14/11*g - j - 30/11*g**2 - 8/11*g**4 - 26/11*g**3 = 0.
-1, -1/4
Let c(n) = -n**3 - 8*n**2 - 6*n + 4. Let w be c(-7). Let z be -5 + 2 - (w - 2). Find b, given that 2*b + 0 - z*b**2 + 3*b**2 + 1 = 0.
-1
Let q(y) be the second derivative of -y**4/6 + 4*y**3/3 - 3*y**2 - 2*y. What is o in q(o) = 0?
1, 3
Let b be (2 - -5) + (-152)/24. Factor 0*h**2 + 2*h - 8/3*h**3 + b.
-2*(h - 1)*(2*h + 1)**2/3
Let l(p) be the first derivative of -3*p**5/20 - 15*p**4/16 - 9*p**3/4 - 21*p**2/8 - 3*p/2 - 22. Factor l(u).
-3*(u + 1)**3*(u + 2)/4
Let g(t) be the fi