 of -a**6/30 + a**4/12 - 13*a. What is r in y(r) = 0?
-1, 0, 1
Let b(f) be the third derivative of 1/27*f**4 - 8/27*f**3 - 3*f**2 + 1/15*f**5 - 1/504*f**8 + 0*f - 2/189*f**7 - 1/540*f**6 + 0. Suppose b(x) = 0. What is x?
-2, -1, 2/3, 1
Let j(o) be the first derivative of 2*o**6/33 - 6*o**5/55 + 2*o**3/33 - 2. Factor j(f).
2*f**2*(f - 1)**2*(2*f + 1)/11
Let d(m) be the first derivative of -4*m**3/9 - m**2/3 + 10. Factor d(o).
-2*o*(2*o + 1)/3
Let z(g) be the third derivative of 1/30*g**5 + 0*g - 2*g**2 - 4/105*g**7 + 0 + 0*g**4 - 1/20*g**6 + 0*g**3. Determine j, given that z(j) = 0.
-1, 0, 1/4
What is b in 6/5*b**2 + 0*b - 3/5*b**4 + 0*b**3 - 3/5 = 0?
-1, 1
Let p = 2641/4 + -657. Determine k so that -3/2*k**3 + 1 + p*k**2 + 1/4*k**4 - 3*k = 0.
1, 2
Let t(h) be the first derivative of -3/5*h**5 + 0*h**3 + 2*h**2 + 0*h - 1 - 7/4*h**4. What is s in t(s) = 0?
-2, -1, 0, 2/3
Find x, given that -2/7*x**5 + 10/7*x**4 + 20/7*x**2 - 10/7*x - 20/7*x**3 + 2/7 = 0.
1
What is z in 3/5*z**3 + 0 + 2/5*z**5 - 4/5*z - 8/5*z**2 + 7/5*z**4 = 0?
-2, -1/2, 0, 1
Suppose -1323*f**2 - 12 + 98*f + 93*f + 61*f = 0. Calculate f.
2/21
Suppose -9*u + 51 = 8*u. Let q(t) be the second derivative of 0*t**u + 3/20*t**5 + 0 + 0*t**2 + 0*t**4 + 3*t - 1/20*t**6. Determine v so that q(v) = 0.
0, 2
Let i be ((-2)/(-6))/((-7)/(-147)). Suppose -9 = -4*g + i. Solve 0 + 1/3*r**2 + 0*r**3 + 0*r - 1/3*r**g = 0.
-1, 0, 1
Let r(v) be the first derivative of v**5/30 + v**4/12 - 2*v**3/3 - 2*v**2 + 1. Let k(w) be the second derivative of r(w). Factor k(m).
2*(m - 1)*(m + 2)
Let j be 3 + (1 - (2 + -5)). Let z(g) = -g + 10. Let k be z(j). Factor -t + 2/3*t**2 + 1/3 + 1/3*t**5 + 2/3*t**k - t**4.
(t - 1)**4*(t + 1)/3
Factor 1/3*n**2 + 0 + 1/3*n**3 + 0*n.
n**2*(n + 1)/3
Let u(b) be the second derivative of -1/15*b**3 + 0 + 0*b**2 - 1/30*b**4 + 1/75*b**6 + 1/50*b**5 - 2*b. Solve u(c) = 0 for c.
-1, 0, 1
Suppose 29*g = -2 + 31. Factor -3/4*q**2 + g + 0*q - 1/4*q**3.
-(q - 1)*(q + 2)**2/4
Factor -4*m**3 + 2*m - 4 + 25*m**2 + m**4 + 2*m - 22*m**2.
(m - 2)**2*(m - 1)*(m + 1)
Let x(y) be the third derivative of y**8/30240 + y**7/3780 - y**5/135 - y**4/6 + 2*y**2. Let l(g) be the second derivative of x(g). Factor l(f).
2*(f - 1)*(f + 2)**2/9
Let k(a) be the third derivative of -a**5/450 + a**4/180 + 2*a**3/45 - 13*a**2. Determine o so that k(o) = 0.
-1, 2
Let j(y) be the first derivative of -y**6/39 - 6*y**5/65 - 3*y**4/26 - 2*y**3/39 + 7. Suppose j(s) = 0. Calculate s.
-1, 0
Suppose -3*h - 30 = -3*g, -h - 1 = -2*g + 14. Let i(s) = -s**3 - 6*s**2 - 6*s - 2. Let k be i(h). Factor -2/3*t**k + 2/3 - 2/3*t**2 + 2/3*t.
-2*(t - 1)*(t + 1)**2/3
Let h be 9/21*2/3. Let m = 3/14 + h. Let -3/2*z**2 + 3/2*z + 1/2*z**3 - m = 0. Calculate z.
1
Let w(p) = p**3 + 27*p**2 + 4. Let j be w(-27). Let y(d) be the first derivative of -2/3*d**2 + 1/3*d**j + 0*d**3 + 2/3*d - 2/15*d**5 - 4. Factor y(f).
-2*(f - 1)**3*(f + 1)/3
Let c(y) = 2*y**2 + 3*y. Let x be c(-2). Let d = -1 - -1. Factor 2*b**x - b**2 - 2*b**2 + d*b + b.
-b*(b - 1)
Let g(a) be the third derivative of 0 + 1/36*a**4 + 0*a + 1/90*a**5 + 0*a**3 + 3*a**2. What is s in g(s) = 0?
-1, 0
Suppose -i - 2*i = 4*i. Factor -1/3*f**3 + i*f + 1/3*f**2 + 0.
-f**2*(f - 1)/3
Let z(o) be the second derivative of 3*o**4 - 22*o**3/3 + 4*o**2 - 10*o. Factor z(n).
4*(n - 1)*(9*n - 2)
Let i(t) be the second derivative of 1/8*t**3 + 7*t + 0*t**2 + 0 + 1/48*t**4. Factor i(a).
a*(a + 3)/4
Let z(i) be the third derivative of i**8/84 - 4*i**7/105 - i**6/10 + 37*i**2. Factor z(m).
4*m**3*(m - 3)*(m + 1)
Let z(w) be the first derivative of -w**6/30 + w**5/25 + w**4/20 - w**3/15 + 4. Determine p so that z(p) = 0.
-1, 0, 1
Let f(k) = 2*k - 6. Let y be f(4). Suppose 2*h = 3*h - y. Factor h*n + 2*n**2 + n - n + 0*n.
2*n*(n + 1)
Let r(x) = x**3 + 2*x**2 - 5*x - 4. Let t be r(-3). Let n be 1 + -3 + 0 + t. Let n*a**2 - 15*a**4 - 11*a**3 + 11*a + 2 + 0 + 13*a**2 = 0. What is a?
-1, -2/5, -1/3, 1
Let v(c) be the first derivative of 3*c**5/10 - c**3/2 - 4. Factor v(m).
3*m**2*(m - 1)*(m + 1)/2
Let c(k) be the third derivative of k**5/480 - k**4/192 - k**3/24 - 31*k**2. Factor c(o).
(o - 2)*(o + 1)/8
Determine s, given that -7*s**2 + 12*s**3 - 2*s**3 - 3*s - 2*s**2 + 2*s**3 = 0.
-1/4, 0, 1
Suppose -5*b - 8 = 4*l - 0*l, 2*l = -4*b - 10. Factor -3*t**2 - 6 - 27*t**3 + 24*t**l - 15*t - 9*t**2.
-3*(t + 1)**2*(t + 2)
Let i(r) be the first derivative of -r**4/12 + r**3/2 - r**2 - 4*r - 1. Let s(h) be the first derivative of i(h). Suppose s(a) = 0. What is a?
1, 2
Factor -15*r + 25/3 + 5*r**2 + 5/3*r**3.
5*(r - 1)**2*(r + 5)/3
Let k = -43 - -24. Let u = k + 22. Factor 2/5*t**2 + 2/5*t**u - 2/5 - 2/5*t.
2*(t - 1)*(t + 1)**2/5
Let u(p) be the third derivative of p**5/20 + 13*p**4/4 + 169*p**3/2 + 21*p**2 + 2. What is i in u(i) = 0?
-13
Suppose 4*j - 1 = 7. Let h be (2 + 0)/(7/j). Find o, given that 8/7*o + 8/7*o**2 - 10/7*o**4 - h*o**3 - 4/7*o**5 + 2/7 = 0.
-1, -1/2, 1
Let c(v) be the third derivative of -v**6/180 - v**5/45 + v**4/12 - 15*v**2. Factor c(z).
-2*z*(z - 1)*(z + 3)/3
Let c be (-12)/(-8)*(-3 + 30/9). Let r(m) be the first derivative of c*m**2 - 3 + 0*m + 0*m**3 - 1/4*m**4. Factor r(k).
-k*(k - 1)*(k + 1)
Let b(q) = -q**4 + 5*q**3 + 6*q**2 - 2*q. Suppose 0 = -4*o + 6*o - 4. Let f(c) = 6*c**4 - 36*c**3 - 42*c**2 + 15*c. Let k(y) = o*f(y) + 15*b(y). Factor k(v).
-3*v**2*(v - 2)*(v + 1)
Solve 15*k + 0*k**2 + 2*k - 5*k**3 - 3*k**2 + 0 - 10 + k**4 = 0 for k.
-2, 1, 5
Determine i so that 1/3*i**3 - 1/6*i**4 + 1/6 + 0*i**2 - 1/3*i = 0.
-1, 1
Factor 2/5*d**4 + 4/5*d**3 + 0 + 2/5*d**2 + 0*d.
2*d**2*(d + 1)**2/5
Let t = 24 - 38. Let h be t/(-4) - 3/2. Let -3*i**5 + 3*i**2 - 2*i**5 + h*i**5 + 9*i**4 - 9*i**3 = 0. What is i?
0, 1
Let o(g) be the first derivative of g**9/2520 + 3*g**8/2800 + g**7/1400 - 3*g**3 + 4. Let s(f) be the third derivative of o(f). Solve s(y) = 0.
-1, -1/2, 0
Let d(m) be the first derivative of 2*m**6/3 - 2*m**5/5 - m**4 + 2*m**3/3 + 3. Solve d(g) = 0.
-1, 0, 1/2, 1
Let u be 21*1/(6/(-2)). Let q be (-4)/6*u/21. Solve -2/9*l**3 - 2/3*l - q - 2/3*l**2 = 0.
-1
Let b = 44 - 40. Let s(t) be the first derivative of 0*t**3 + 3 + 4/3*t - 1/6*t**b + t**2. Suppose s(w) = 0. What is w?
-1, 2
Let i(x) be the third derivative of -x**11/1164240 - x**10/264600 - x**9/211680 + x**5/60 + 2*x**2. Let t(w) be the third derivative of i(w). Factor t(k).
-2*k**3*(k + 1)**2/7
Let d(g) = -2*g**5 - 2*g**4 + 2*g**3 + 2*g**2 + 2*g. Let p(o) = 8*o**5 + 9*o**4 - 8*o**3 - 9*o**2 - 9*o. Let y(w) = -18*d(w) - 4*p(w). Solve y(b) = 0.
-1, 0, 1
Let h = 2/111 + 212/555. Let y(c) be the second derivative of 1/3*c**7 + 0 + 4/5*c**6 + 2*c - 7/3*c**4 + 2*c**2 - h*c**5 - c**3. Factor y(j).
2*(j - 1)*(j + 1)**3*(7*j - 2)
Let a = 353/117 - 232/99. Let h = a - 1/143. Factor 2/9*q**2 + 4/9 + h*q.
2*(q + 1)*(q + 2)/9
Let k(v) be the second derivative of -v**6/105 - v**5/70 + v**4/42 + v**3/21 - 2*v. Find b such that k(b) = 0.
-1, 0, 1
Let y(i) be the first derivative of -i**7/2100 + i**6/900 + 2*i**3/3 + 2. Let k(n) be the third derivative of y(n). Let k(o) = 0. What is o?
0, 1
Let c be 28/6 - (-2)/(-3). Let t(s) be the first derivative of 3/4*s**2 + 2 - 3/2*s + 1/2*s**3 - 3/8*s**c. Solve t(k) = 0 for k.
-1, 1
Suppose 42 = 2*u + 8. Let o = u - 10. Determine q so that 3 - o + 2*q + 6*q**2 - 4*q = 0.
-2/3, 1
Let l(m) = -6*m**4 + 6*m**3 - 2*m**2 + 2*m. Suppose -j = 1 + 3. Let k(r) = r**4 - r**2. Let v(q) = j*k(q) - l(q). Factor v(s).
2*s*(s - 1)**3
Factor -1/4 - 1/3*x**2 - 7/12*x.
-(x + 1)*(4*x + 3)/12
Suppose -5*x - 10 + 17*x - 9*x - 69*x**2 + 50*x + 19*x**3 + 7*x**4 = 0. Calculate x.
-5, 2/7, 1
Let v(c) = -c**2 - 6*c - 6. Let p be v(-4). Let d(g) be the first derivative of 2*g + 2*g**2 - p + 2/3*g**3. Suppose d(r) = 0. Calculate r.
-1
Let z(n) be the second derivative of -n**6/15 + n**5/10 + n**4/2 - n**3/3 - 2*n**2 - 11*n. Factor z(b).
-2*(b - 2)*(b - 1)*(b + 1)**2
Let m(j) = 15*j**4 - 34*j**3 + 16*j**2 + 3. Let u(p) = 15*p**4 - 33*p**3 + 15*p**2 + p + 2. Let y(z) = -4*m(z) + 5*u(z). Factor y(x).
(x - 1)**2*(3*x - 1)*(5*x + 2)
Let h(v) be the third derivative of -v**7/420 + v**5/120 + 8*v**2. Factor h(z).
-z**2*(z - 1)*(z + 1)/2
Let w = 2 - 0. Find i, given that -2*i + 0*i**2 - 3*i**2 + i**w + 0 + 4 = 0.
-2, 1
Let o(g) be the 