hird derivative of -1/90*f**d + 0 - f**2 + 0*f**3 + 0*f**4 - 1/360*f**6 + 0*f. Factor k(z).
-z**2*(z + 2)/3
Let s be 2 - (1 - (1 + -1)). Suppose s = 2*b - 3. Solve h + 6*h**3 + 2*h**4 - h + 6*h**b + 2*h = 0 for h.
-1, 0
Let l be (120/(-1540))/(1/(-7)). Factor -4/11*v + l*v**2 - 2/11.
2*(v - 1)*(3*v + 1)/11
Let z = 52/105 + -1/15. Factor 3/7*h**2 - z + 0*h.
3*(h - 1)*(h + 1)/7
Let a = 6 + -3. Solve -4*x**a - 2*x**4 + 4*x - 3*x**3 - x**5 + 4*x**3 + 4*x**2 + 2*x**5 = 0 for x.
-1, 0, 2
Let o(j) be the first derivative of 0*j + 2/3*j**3 + 4 + 0*j**2 - j**4 + 2/5*j**5. Let o(i) = 0. Calculate i.
0, 1
Solve 8/17 - 2/17*t**2 + 0*t = 0 for t.
-2, 2
Let i(b) be the second derivative of 0 - 1/36*b**4 + 0*b**2 - 1/6*b**3 - 8*b. Factor i(z).
-z*(z + 3)/3
Let u(g) be the second derivative of g**7/42 - 2*g**6/15 + g**5/5 + g**4/6 - 5*g**3/6 + g**2 - 15*g. Factor u(q).
(q - 2)*(q - 1)**3*(q + 1)
Let z(v) = -v**3 + 3*v**2 - 6*v + 4. Let d(w) = -9*w**3 + 24*w**2 - 48*w + 33. Let r(b) = -4*d(b) + 33*z(b). Factor r(a).
3*a*(a - 1)*(a + 2)
Let 0 - 21/5*f**3 - 27/5*f - 3*f**4 + 63/5*f**2 = 0. What is f?
-3, 0, 3/5, 1
Let m(a) be the first derivative of -a**6/30 - a**5/25 + a**4/20 + a**3/15 + 4. Factor m(x).
-x**2*(x - 1)*(x + 1)**2/5
Let -6*i**2 - 5*i**2 + 2*i + i + 10*i**2 - 2 = 0. What is i?
1, 2
Let m(d) = 4*d**2 + 4*d - 2. Let w(p) = -p**2 - 5*p + 5. Let c(n) = -n + 1. Let s(h) = 4*c(h) - w(h). Let u(v) = m(v) - 6*s(v). Suppose u(i) = 0. What is i?
-2, 1
Let d(c) be the first derivative of 4 + 45/14*c**4 + 16/7*c**3 + 10/7*c**5 + 0*c + 4/7*c**2. Factor d(q).
2*q*(q + 1)*(5*q + 2)**2/7
Let b(z) = z**3 - 3*z**2 + 5 + 0*z**2 + 2*z**4 - 5*z**2 - 5*z. Let g(j) = -j**4 + j**3 + j**2 + j - 1. Let c(y) = b(y) + 5*g(y). Factor c(l).
-3*l**2*(l - 1)**2
Let a(i) be the first derivative of -i**4/42 + 3*i + 3. Let d(l) be the first derivative of a(l). What is h in d(h) = 0?
0
Let y(s) be the second derivative of s**5/20 + 5*s**4/16 + s**3/3 - 3*s**2/8 - 10*s. Factor y(n).
(n + 1)*(n + 3)*(4*n - 1)/4
Let 4/9*i - 4/9*i**3 - 2/9*i**2 + 2/9*i**4 + 0 = 0. Calculate i.
-1, 0, 1, 2
Let u(y) be the second derivative of y**4/12 + 5*y**3/6 + 2*y**2 + 15*y. Factor u(x).
(x + 1)*(x + 4)
Factor -2/5*q - 2/5*q**2 + 0.
-2*q*(q + 1)/5
Factor -3*z**3 + 2*z**5 - z**4 + z**5 + 5*z**4 - 5*z**4 + z**2.
z**2*(z - 1)*(z + 1)*(3*z - 1)
Let d(a) be the second derivative of a**7/147 + a**6/105 - 2*a**5/35 - 2*a**4/21 - 27*a. Determine v, given that d(v) = 0.
-2, -1, 0, 2
Suppose 2*l + 430 = -5*v, -4*l - 2*v - v = 874. Let q = l + 670/3. Factor -12*i**2 - 18*i**3 - 9*i**4 - q*i - 1/3.
-(i + 1)*(3*i + 1)**3/3
Let g(a) be the third derivative of -a**10/50400 + a**9/20160 + a**5/60 - 3*a**2. Let n(t) be the third derivative of g(t). Factor n(j).
-3*j**3*(j - 1)
Let o(u) be the first derivative of 5*u**6/6 - 2*u**5 - 10*u**4 + 80*u**3/3 + 40*u**2 - 160*u - 12. Find k, given that o(k) = 0.
-2, 2
Find i, given that -2*i**5 + 0 + 0*i - i**3 + 0*i**2 + 9/2*i**4 = 0.
0, 1/4, 2
Let u(w) be the third derivative of -w**6/10 - w**5/3 - 3*w**4/8 - w**3/6 - 19*w**2. Factor u(v).
-(v + 1)*(2*v + 1)*(6*v + 1)
Let b(c) = -c**2 - 8*c + 11. Let y be b(-9). Suppose y = -0*f + f. Factor -8/3 - 2*p**f + 1/3*p**3 + 4*p.
(p - 2)**3/3
Let w(u) = u**3 - 12*u**2 - 50*u - 64. Let l(q) = 3*q**3 - 24*q**2 - 101*q - 128. Let g(b) = -2*l(b) + 5*w(b). Suppose g(r) = 0. What is r?
-4
Suppose 0*c - 14 = -3*c + 5*z, -c = z + 6. Let v = c - -4. Factor n**4 + 2*n**3 - 2*n**2 - 4*n - 1 + 2 + v*n - n**5 + n.
-(n - 1)**3*(n + 1)**2
Let c(t) be the second derivative of 0 + 0*t**6 + t + 0*t**4 + 0*t**3 + 1/126*t**7 + 0*t**2 + 0*t**5. Factor c(z).
z**5/3
Suppose 3*f = -2*o + 94, 0 = f - o - 0*o - 28. Let w = 63/2 - f. Factor -2 - w*c**2 + 4*c.
-(c - 2)*(3*c - 2)/2
Let p(b) be the third derivative of -6*b**2 - 1/1512*b**8 + 0 - 1/36*b**4 + 0*b**7 + 1/135*b**5 + 0*b - 2/27*b**3 + 1/135*b**6. Let p(q) = 0. What is q?
-1, 1, 2
Let a(g) be the second derivative of -g**6/75 - g**5/50 + g**4/30 + g**3/15 - 4*g. Factor a(w).
-2*w*(w - 1)*(w + 1)**2/5
Let b be (-30)/325 + (-4)/26. Let s = 2/13 - b. Factor s*a + 0 - 2/5*a**2.
-2*a*(a - 1)/5
Let t(g) be the third derivative of g**7/14 + 17*g**6/40 + 4*g**5/5 + g**4/2 - 31*g**2. Determine b, given that t(b) = 0.
-2, -1, -2/5, 0
Factor -12*f**4 - 15*f**3 - 108*f**2 - 101*f**2 + 203*f**2 - 3*f**5.
-3*f**2*(f + 1)**2*(f + 2)
Let p(r) = 4*r**2 + 2*r. Let j(o) = 9*o**2 + 5*o. Let y(d) = 6*j(d) - 14*p(d). Let y(m) = 0. Calculate m.
0, 1
Let d(o) be the first derivative of -o**4/3 - 2*o**3/3 - 6*o + 3. Let s(n) be the first derivative of d(n). Find u, given that s(u) = 0.
-1, 0
Let a be ((-20)/15)/((-4)/9). Let x(b) be the first derivative of 1/3*b**2 + 2 - 4/3*b + 4/9*b**a - 1/6*b**4. Factor x(t).
-2*(t - 2)*(t - 1)*(t + 1)/3
Let b(w) be the third derivative of w**2 - 1/30*w**6 + 1/20*w**5 + 0*w + 1/210*w**7 + 0 + 1/6*w**4 - 2/3*w**3. Factor b(y).
(y - 2)**2*(y - 1)*(y + 1)
Let y(p) be the third derivative of p**5/30 - p**4/6 - 20*p**2. Factor y(m).
2*m*(m - 2)
Let n(b) be the first derivative of b**3 - 9/4*b - 4 + 33/8*b**2. Find m such that n(m) = 0.
-3, 1/4
Factor 2*b**2 + 1/2*b + 0 + 3*b**3 + 2*b**4 + 1/2*b**5.
b*(b + 1)**4/2
Let u(i) = -i**2 + 8*i + 3. Let x be u(7). Let a be 3 - (-3)/x*-6. Suppose a*h**2 + 14/5*h**4 - 24/5*h**3 + 0 + 4/5*h = 0. What is h?
-2/7, 0, 1
Let m(s) be the first derivative of -s**3 + 6*s**2 - 12*s + 2. Factor m(i).
-3*(i - 2)**2
What is u in 38/13*u**3 + 50/13*u**2 + 32/13*u + 14/13*u**4 + 2/13*u**5 + 8/13 = 0?
-2, -1
Let l(m) be the third derivative of -m**6/120 - 17*m**5/240 - m**4/24 - 22*m**2. Factor l(f).
-f*(f + 4)*(4*f + 1)/4
Let x(h) be the second derivative of -h**7/11340 - h**6/540 - h**5/60 - h**4/2 + 5*h. Let m(j) be the third derivative of x(j). Determine r so that m(r) = 0.
-3
Let o = 24 + -18. Let x be (-12)/8*(-2)/o. Factor -1/2*n**4 - x*n**3 + 1/2*n**5 + 1/2*n**2 + 0 + 0*n.
n**2*(n - 1)**2*(n + 1)/2
Suppose 4*b + 5*t - 10 = 0, 6 = -2*t - t. Suppose b*m + 0*n - 33 = 2*n, -2*m + 2*n + 18 = 0. Solve 0*c**2 - c**4 + 0 + 1/2*c**3 + 1/2*c**m + 0*c = 0.
0, 1
Let q(d) = -d**2 - d - 1. Let j be 1*6/3 + -1. Let s(c) = 5*c**2 + 5*c + j + 0 + 5. Let m(i) = 6*q(i) + s(i). Factor m(y).
-y*(y + 1)
Solve -3/2*b**2 + 0 + 0*b + 3/8*b**3 = 0.
0, 4
Let x be ((-4)/6)/(3/(-9)). Suppose -4*p + 2*k = -3*p - 4, 8 = 3*p - x*k. Determine v, given that -2 - 3 - v**p + 1 - 4*v = 0.
-2
Let q(h) be the third derivative of 0*h + 1/120*h**5 + 1/3*h**3 + 0 - h**2 - 1/12*h**4. Let q(x) = 0. Calculate x.
2
Factor -19*l**2 + 30*l - 18 + 2*l**3 - 32*l**2 + 37*l**2.
2*(l - 3)**2*(l - 1)
Suppose -3*v + 3*v**4 + v**3 - v - 2*v**4 + 2*v**3 = 0. What is v?
-2, 0, 1
Let w(o) = -4*o**2 + 6. Let u(p) = -1. Let y(d) = -6*u(d) - w(d). Factor y(a).
4*a**2
Let z be 0 - 16/(-20) - 240/675. Factor -2/3*p - z - 2/9*p**2.
-2*(p + 1)*(p + 2)/9
Let k(z) be the first derivative of z**4/42 + 2. Factor k(d).
2*d**3/21
Let i = 2641/30 - 88. Let y(q) be the third derivative of i*q**3 - 3*q**2 - 1/300*q**5 + 0 + 0*q**4 + 0*q. Suppose y(r) = 0. Calculate r.
-1, 1
Let g(x) be the first derivative of x**4/2 + 8*x**3/3 - 7*x**2 - 20*x - 35. Factor g(b).
2*(b - 2)*(b + 1)*(b + 5)
Let r = 6 + -1. Suppose -r + 3 = -k. Factor 5*j - j**k - 5*j.
-j**2
Let q(i) = 3*i + 11. Let d be q(-7). Let x be -4 + (-68)/d + -2. Factor -2/5 - x*t - 2/5*t**2.
-2*(t + 1)**2/5
Factor -1/2*y**2 + 5/8*y + 1/8*y**3 - 1/4.
(y - 2)*(y - 1)**2/8
Let r(n) be the first derivative of -3*n**4/4 + 2*n**3 - 3*n**2/2 + 1. Factor r(a).
-3*a*(a - 1)**2
Let z be -1*(0 + 1) - -5. Solve 6*i**3 + 13*i**3 + 4 - 2*i**4 + 18*i + 8*i**z + 30*i**2 + 3*i**3 = 0 for i.
-1, -2/3
Let g(n) be the second derivative of n**9/9072 - n**8/1260 + n**7/504 - n**6/540 - n**3/2 + 5*n. Let f(z) be the second derivative of g(z). Solve f(d) = 0.
0, 1, 2
Let z(y) = -4 + 3 - y + 2. Let m(f) = -f**2 + 24*f + 13. Let u(a) = -m(a) - 3*z(a). Let c(h) = 2*h**2 - 52*h - 40. Let i(g) = 5*c(g) - 12*u(g). Factor i(v).
-2*(v + 2)**2
Let u(p) be the first derivative of p**7/28 - p**6/20 - 3*p**5/40 + p**4/8 - 8*p + 6. Let y(i) be the first derivative of u(i). What is q in y(q) = 0?
-1, 0, 1
Let i be (-2)/(-9) - (-4 - -1). Let y = i + -3. Find v such that -y*v**3 - 2/9 + 2/9*v**2 + 2/9*v = 0.
-1, 1
