) be the third derivative of i**6/160 - i**5/48 - i**4/48 - 5*i**2. Factor p(b).
b*(b - 2)*(3*b + 1)/4
Suppose -1/3 - 1/3*c**4 + 2/3*c**2 + 0*c**3 + 0*c = 0. Calculate c.
-1, 1
Let w(r) be the second derivative of r + 1/9*r**4 + 0*r**2 - 1/30*r**5 + 0 - 1/9*r**3. Solve w(x) = 0 for x.
0, 1
Let h(f) be the third derivative of -f**9/181440 + f**8/6720 - f**7/560 + f**6/80 - f**5/30 - f**2. Let y(n) be the third derivative of h(n). Factor y(j).
-(j - 3)**3/3
Let l(n) be the third derivative of n**5/75 - n**4/30 - 4*n**3/15 - 2*n**2. What is v in l(v) = 0?
-1, 2
Let g(x) = -x**2 + 8*x + 5. Let l be g(7). Suppose 6*n - 3*n = l. Solve 5*h**4 + h**n - 5*h**2 + 2*h - 7*h**4 + 4*h**3 = 0 for h.
0, 1, 2
Let v(z) be the first derivative of 2*z**3/51 + 2*z**2/17 - 6*z/17 - 1. Factor v(h).
2*(h - 1)*(h + 3)/17
Suppose 4*z + 4*b = 24, z = 3*b - 6*b. Let g = z + -7. Factor -7 + 2*l + 1 + 2*l**2 + g.
2*(l - 1)*(l + 2)
Let w(i) be the first derivative of -i**4/2 + 4*i**2 - 20. Factor w(s).
-2*s*(s - 2)*(s + 2)
Let t(r) be the second derivative of 4*r + 1/80*r**5 + 1/24*r**3 + 0 - 1/24*r**4 + 0*r**2. Solve t(u) = 0.
0, 1
Let a = 2 + 1. Suppose -a*i + 2*w = 3*w - 11, -21 = -3*i - 3*w. Find m such that 2*m**2 + 0 + 4*m + i + 0*m = 0.
-1
Let l(a) = -a**2 + 4*a - 3. Let k be l(3). Determine b, given that 0*b + 0 + k*b**3 - 1/4*b**4 + 0*b**2 = 0.
0
Let r(x) = -6*x**5 - 15*x**4 - 18*x**3 - 12*x**2 - 3. Let p(o) = o**5 + o**4 - o + 1. Let w(q) = -3*p(q) - r(q). Find f such that w(f) = 0.
-1, 0
Let i be 5/10*2/2. Solve -i - 1/4*w**2 + 3/4*w = 0 for w.
1, 2
Let p(j) be the second derivative of -j**6/720 + j**4/48 - j**3/6 + 5*j. Let x(h) be the second derivative of p(h). Factor x(l).
-(l - 1)*(l + 1)/2
Let v(r) = r**2 + 1. Let g(k) = 4*k**3 + 11*k**2 - 4*k - 13. Let n(q) = -g(q) - v(q). Factor n(w).
-4*(w - 1)*(w + 1)*(w + 3)
Let o(x) be the second derivative of 3*x**5/20 - 5*x**4/4 + 4*x**3 - 6*x**2 + 12*x. Determine i, given that o(i) = 0.
1, 2
Let r(i) = i + 2. Let v be r(5). Factor 2*t - t**2 - v - t**3 - t + 8.
-(t - 1)*(t + 1)**2
Let l be (-1 - -2)*(-3 - -5). Factor 2 - 2*u**l - 4*u - 2 + 6*u**2.
4*u*(u - 1)
Let l(r) be the first derivative of -3 + 4/3*r**3 - 4*r + 1/2*r**4 - r**2. Factor l(z).
2*(z - 1)*(z + 1)*(z + 2)
Let w(r) = -r**2 + 9*r - 4. Let s be w(4). Factor -12*o**2 + 50*o**4 + 24*o - 60*o**3 + 8 + 6*o**2 + 0*o**2 - s*o**2.
2*(o - 1)**2*(5*o + 2)**2
Let m(r) = 5*r**2 - 5. Let y(v) = -11*v**2 + 11. Let o(l) = 9*m(l) + 4*y(l). Factor o(g).
(g - 1)*(g + 1)
Let k(y) be the first derivative of -y**5/60 - y**4/36 + 4*y - 1. Let w(d) be the first derivative of k(d). Factor w(c).
-c**2*(c + 1)/3
Let 12/5*n**2 - 12/5*n + 0 - 3/5*n**3 = 0. What is n?
0, 2
Let k(i) be the third derivative of -i**5/60 - i**4/24 - i**2. Let f(n) = 12*n**2 + 14*n. Let r(l) = f(l) + 10*k(l). Let r(b) = 0. Calculate b.
-2, 0
Let s(c) be the second derivative of 6*c + 0*c**4 + 0*c**2 + 1/2*c**3 + 0 - 3/20*c**5. Determine l, given that s(l) = 0.
-1, 0, 1
Let s(k) = -k**3 - k**2 - k - 1. Let g(m) = m**3 + 1. Let r(l) = 4*g(l) + 6*s(l). Factor r(n).
-2*(n + 1)**3
Let p = -243/28 - -125/14. Factor 0*k - 1/4*k**3 + p*k**2 + 0.
-k**2*(k - 1)/4
Let u(n) = -n**2 + 9*n + 6. Let g(a) = -a**2 - 1. Let b(c) = 2*g(c) - u(c). Factor b(y).
-(y + 1)*(y + 8)
Let t(p) be the third derivative of 0*p + 2/35*p**7 - 4/15*p**5 + 0*p**3 + 2*p**2 + 2/3*p**4 - 1/6*p**6 + 0. Factor t(n).
4*n*(n - 2)*(n + 1)*(3*n - 2)
Solve 2/15*r - 2/15 - 2/15*r**4 + 4/15*r**2 + 2/15*r**5 - 4/15*r**3 = 0.
-1, 1
Determine w, given that -7*w**2 + 12*w - 9*w**2 - 15*w**3 + 19*w**3 = 0.
0, 1, 3
Let a = -94/5 - -569/30. Factor -7/6*w**2 + 2*w**3 + a*w + 0.
w*(3*w - 1)*(4*w - 1)/6
Let w(y) be the second derivative of 5*y**7/168 + y**6/40 - y**5/40 - 26*y. Factor w(b).
b**3*(b + 1)*(5*b - 2)/4
Let h = 19 - 16. Let s(d) be the second derivative of 0*d**h + 0 + d + 3/5*d**6 + 0*d**2 + 2/3*d**4 - 6/5*d**5. Factor s(v).
2*v**2*(3*v - 2)**2
Let g = 456 + -3180/7. Suppose 18/7*u - 4/7 + 4*u**3 - 32/7*u**2 + 2/7*u**5 - g*u**4 = 0. What is u?
1, 2
Let b(x) = -16*x**2 + 16*x - 8. Let j(o) = 16*o**2 - 16*o + 9. Let n(c) = 5*b(c) + 4*j(c). Determine s so that n(s) = 0.
1/2
Let i(a) = a**2 - a + 1. Let f(z) = 2*z**2 - 5*z + 6. Let d = -17 + 14. Let g(m) = d*i(m) + f(m). Suppose g(k) = 0. What is k?
-3, 1
Let u(h) = 3*h**2 - 6*h + 9. Let s(y) = 2*y - 15. Let k be s(10). Let f(o) = -k*o + o - 17 - 5*o**2 + 15*o. Let q(l) = 6*f(l) + 11*u(l). Factor q(j).
3*(j - 1)*(j + 1)
Let f(p) = 9*p**2 - 2*p - 7. Let b(d) = -17*d**2 + 4*d + 13. Let v(w) = -3*b(w) - 5*f(w). Determine n, given that v(n) = 0.
-2/3, 1
Let g(u) be the first derivative of -2*u**3/33 + 5*u**2/11 - 12*u/11 - 6. Factor g(z).
-2*(z - 3)*(z - 2)/11
Suppose 3*l = -4 + 7. Let k be (-100)/30 + 3 + l. Let -k*b**2 + 2/3*b + 2/3 - 2/3*b**3 = 0. Calculate b.
-1, 1
Let y be (-22)/11 - 14/(-2). Suppose 0 = -7*z + y*z. Factor -2/3*a + z*a**2 - 1/3 + 1/3*a**4 + 2/3*a**3.
(a - 1)*(a + 1)**3/3
Solve -44*r**2 + 23*r**2 - 2*r**3 + 21*r**2 + 2*r**5 = 0 for r.
-1, 0, 1
Let w(y) = -7*y + 28. Let t be w(4). Factor -2/3*j + 2/3*j**3 + 0 + t*j**2.
2*j*(j - 1)*(j + 1)/3
Factor -40 + 10*g - 24 + 4*g**3 + 22*g + 28*g**2 + 0.
4*(g - 1)*(g + 4)**2
Let q(w) be the first derivative of -w**4/12 + 2*w**2/3 + 22. Factor q(v).
-v*(v - 2)*(v + 2)/3
Suppose -5 - 67 = -4*j. Let x be (2/18)/(6/j). Suppose 1/3*z**2 + 0*z - x*z**4 - 1/3*z**3 + 1/3*z**5 + 0 = 0. What is z?
-1, 0, 1
Let p be ((-16)/360)/(1 + -17). Let g(d) be the third derivative of -1/18*d**3 + 1/180*d**5 + 1/72*d**4 - p*d**6 + 2*d**2 + 0 + 0*d. What is n in g(n) = 0?
-1, 1
What is d in 0*d - 3/2*d**3 + 0 - 15/4*d**5 + 0*d**2 + 21/4*d**4 = 0?
0, 2/5, 1
Let h(v) be the first derivative of -1/36*v**4 - 2 - 2*v + 0*v**2 + 1/18*v**3. Let d(n) be the first derivative of h(n). Factor d(p).
-p*(p - 1)/3
Let u be 5*9/30*2. Factor -6/5*y**u - 16/5*y**2 - 4/5 - 14/5*y.
-2*(y + 1)**2*(3*y + 2)/5
Find q such that 9*q**3 - q**5 - 7*q + 3*q**4 - 6*q**4 - 2*q**5 + 3*q**2 + q = 0.
-2, -1, 0, 1
Let h be 2/(-2) - (-9)/3. Factor -3*p + p**4 - 3*p**3 + 6*p**3 + 3*p**h - 4*p**4.
-3*p*(p - 1)**2*(p + 1)
Let m(a) = -2*a**2 + 0*a**2 + a**2 - 1. Let b(y) = 4*y**2 + 4*y + 4. Let h(d) = -b(d) - 6*m(d). Factor h(o).
2*(o - 1)**2
Suppose 2/5*y**3 + 0 + 0*y**2 - 2/5*y = 0. Calculate y.
-1, 0, 1
Let y(s) = -s**2 - 7*s + 2. Let o be y(-7). Let r(l) be the first derivative of 0*l - o + 2/3*l**3 - l**2. Solve r(n) = 0.
0, 1
Let i(g) = g + 2. Let j be i(2). Let m be -1 + 2 + j + -2. Let -h**m - h**3 + 0*h**2 + h**2 = 0. What is h?
0, 1/2
Suppose -5/7*r + 4/7 + 1/7*r**2 = 0. What is r?
1, 4
Let c = -139 - -147. Let c + 176/3*o + 98/3*o**3 + 350/3*o**2 = 0. Calculate o.
-3, -2/7
Suppose 0 + 10 = 5*d. Suppose -2*t + 3*t = d*w + 5, 0 = 5*w + 5. Solve -v + 6*v**t - 3*v**5 + 0*v**5 - 2*v = 0.
-1, 0, 1
Let r(q) = q**2 + 9*q + 1. Let j be r(-9). Let t be (-5)/(-5) + j/(-1). Solve t*c + 1/2*c**2 + 2*c**4 - 5/2*c**3 + 0 = 0 for c.
0, 1/4, 1
Let l(y) be the first derivative of -1/2*y**2 + 0*y - 1/2*y**4 + 4/5*y**5 + 1 - 4/3*y**3 + 1/2*y**6. What is t in l(t) = 0?
-1, -1/3, 0, 1
Let a(y) be the first derivative of 3*y**5/5 + 3*y**4 + 5*y**3 + 3*y**2 - 5. Factor a(d).
3*d*(d + 1)**2*(d + 2)
Suppose -8*g**2 + 17*g**3 - 8*g - 36*g**3 + 17*g**3 = 0. What is g?
-2, 0
What is t in -6/7*t**5 + 22/7*t**4 + 0 + 18/7*t**2 - 30/7*t**3 - 4/7*t = 0?
0, 2/3, 1
Let g(z) = 7*z**3 + 4*z**2 + z - 6. Let u(f) be the first derivative of f**4/4 + f**3/3 - f - 2. Let m(o) = g(o) - 6*u(o). Solve m(k) = 0 for k.
0, 1
Find b, given that 0 - b + 1/2*b**2 = 0.
0, 2
Let t(w) be the second derivative of w**7/168 + w**6/120 - 3*w**5/80 - w**4/48 + w**3/12 + 6*w. Factor t(m).
m*(m - 1)**2*(m + 1)*(m + 2)/4
Let v(b) be the first derivative of 9*b**4/4 + 17*b**3/4 + 9*b**2/8 - 3*b/2 + 17. What is z in v(z) = 0?
-1, -2/3, 1/4
Let v = 19 - 19. Suppose -2*z + v*z = 0. Find h such that 4/7 - 6/7*h + z*h**2 + 2/7*h**3 = 0.
-2, 1
Let q(g) be the second derivative of g**6/15 - g**5/5 + 3*g. Let q(d) = 0. What is d?
0, 2
Let n(m) be the second derivative of -m**7/840 - m**6/120 - m**5/60 - 2*m**3/3 + m. Let r(h) be the second derivative of n(h). Let r(j) = 0. Calculate j.
-2, -1, 0
Let b(r) be the third derivative of 1/105*r**7 + 0*r**3 + 0*r 