erivative of 9/4*g**4 + r*g**6 - 13/6*g**3 - 23/20*g**5 + g**2 + 0 - 10*g. What is q in u(q) = 0?
2/7, 1
Factor 33*b**2 + 1936 - 25*b - 29*b**2 - 151*b.
4*(b - 22)**2
Let j(m) = -19*m**5 + 23*m**4 + 6*m**3 + 5*m - 5. Let t(n) = 9*n**5 - 11*n**4 - 2*n**3 - 2*n + 2. Let h(f) = -2*j(f) - 5*t(f). Factor h(i).
-i**3*(i - 1)*(7*i - 2)
Let t(v) = 42*v**4 + 250*v**3 + 420*v**2 + 30*v. Let i(y) = y**3 - 3*y**2 + y. Let s(f) = 6*i(f) + t(f). Factor s(a).
2*a*(a + 3)**2*(21*a + 2)
Let z = -24 + 24. Let y be z/((4 - 1)*(-24)/(-18)). Factor y + 2/11*v**2 - 2/11*v**3 + 0*v.
-2*v**2*(v - 1)/11
Let y = -11114/15 - -2230/3. Solve y*t + 2/5*t**2 + 2 = 0 for t.
-5, -1
Let y(g) be the first derivative of 81*g**3/2 + 36*g**2 + 32*g/3 - 315. Factor y(p).
(27*p + 8)**2/6
Let s(n) be the third derivative of n**6/600 - n**5/12 + 7*n**4/5 - 24*n**3/5 + 2*n**2 - 85*n. Factor s(v).
(v - 12)**2*(v - 1)/5
Suppose 12*d - 143 = d. Let c be 16/(-10) + 2 - d/(-5). Solve 1/2*h - 1/2*h**c - 1/4 + 1/4*h**4 + 0*h**2 = 0 for h.
-1, 1
Let q(t) = -3*t**2 - 13*t - 10. Let c(j) = 3*j**2 + 14*j + 11. Suppose 0 = 5*g - 0*g + 25. Let p(u) = g*q(u) - 4*c(u). Factor p(k).
3*(k + 1)*(k + 2)
Let y(x) be the first derivative of -1/4*x**3 + 0*x - 37 - 15/8*x**2. Let y(f) = 0. What is f?
-5, 0
Let k be (18/4)/(-4 + (-195)/(-50)). Let j be (-33)/k - (2/6 + 0). Factor 0*u + 0 + 4/5*u**3 - j*u**2.
2*u**2*(2*u - 1)/5
Let -26*q**4 + 9*q**2 + 8*q**3 + 10*q**5 + 19*q**2 - 20*q**2 = 0. Calculate q.
-2/5, 0, 1, 2
Let z(h) be the first derivative of -h**5/12 - 5*h**4/8 - 5*h**3/3 + 5*h**2 + 2. Let d(k) be the second derivative of z(k). Factor d(t).
-5*(t + 1)*(t + 2)
Factor 0 + 3*z**2 - 3/2*z**3 + 12*z.
-3*z*(z - 4)*(z + 2)/2
Let b be ((-2)/((-16)/18))/(39/52). Factor 6/7*n**5 + 16/7*n**4 - 2/7*n + 0*n**2 + 0 + 12/7*n**b.
2*n*(n + 1)**3*(3*n - 1)/7
Let o be ((-2)/(12 - 0))/((-6)/(-195)). Let k = o + 37/6. Suppose 0 - 3/2*h**2 + 3/4*h**3 + k*h = 0. What is h?
0, 1
Suppose 0 = -4*l + 6 + 22. Suppose 3*b + 5*i = -l - 13, 20 = -2*b - 5*i. Find c, given that b + 1/2*c**2 + 0*c + 1/4*c**3 = 0.
-2, 0
Let d(x) be the first derivative of 8/3*x**3 + x**2 + 3*x**4 + 1/3*x**6 - 16 + 0*x + 8/5*x**5. Factor d(k).
2*k*(k + 1)**4
Factor -1/2*a**4 + 54*a + 9*a**2 - 108 - 7/2*a**3.
-(a - 3)*(a - 2)*(a + 6)**2/2
Let b(q) = 2*q**2 + 231*q + 6. Let m(a) = 5*a**2 + 460*a + 10. Let y(d) = 5*b(d) - 3*m(d). Determine j, given that y(j) = 0.
-45, 0
Let r = 13233/7 + -1890. Factor 3/7*d - r*d**3 - 2/7 + 2/7*d**2.
-(d - 1)*(d + 1)*(3*d - 2)/7
Let m(l) be the first derivative of l**6/3 - 14*l**5/5 + 15*l**4/2 - 6*l**3 - 203. Suppose m(r) = 0. What is r?
0, 1, 3
Let u(s) be the third derivative of 11 + 0*s - 1/20*s**5 - s**2 - 1/6*s**3 - 1/120*s**6 - 1/8*s**4. Let u(f) = 0. What is f?
-1
Suppose 12*s - 16*s = -716. Let n = -177 + s. Factor -1/4*p**n + 1/4 + 0*p.
-(p - 1)*(p + 1)/4
Let -5/3*w + 14/3 - 1/3*w**2 = 0. Calculate w.
-7, 2
Let b(c) = c**2 - 15*c + 48. Let z be b(12). Suppose z - 18 = -3*d. Factor -10/7*v**3 - 2/7 + 2/7*v**d + 10/7*v.
-2*(v - 1)*(v + 1)*(5*v - 1)/7
Let x(r) be the third derivative of r**8/1176 - 8*r**7/735 + 11*r**6/210 - 4*r**5/35 + 3*r**4/28 + 26*r**2. Find i, given that x(i) = 0.
0, 1, 3
Let s be ((-5)/(75/(-162)))/(40/50). Let z be 17 - (4*1)/2. Factor 1/2*o - z*o**2 + s*o**3 + 1.
(o - 1)*(3*o - 1)*(9*o + 2)/2
Let s(f) be the third derivative of -f**6/84 + 13*f**5/210 + 13*f**4/84 - f**3 + f**2 + 37*f. Factor s(v).
-2*(v - 3)*(v - 1)*(5*v + 7)/7
Solve -726/7 - 424/7*x**2 - 2/7*x**4 + 52/7*x**3 + 1100/7*x = 0 for x.
1, 3, 11
Let g(l) be the second derivative of 5*l**4/12 + 190*l**3/3 + 3610*l**2 - 42*l - 3. Solve g(f) = 0.
-38
Let r = -324 - -195. Let n = r + 647/5. Factor -n*p**3 + 4/5*p**2 + 2/5*p - 4/5.
-2*(p - 2)*(p - 1)*(p + 1)/5
Let c = 193 - 192. Suppose -5*y = -6*y + 2*o + c, 1 = -y + 3*o. Find i, given that -4/7*i - 44/7*i**4 + 12/7*i**y - 24/7*i**2 + 4/7 + 8*i**3 = 0.
-1/3, 1
Solve 9 + 15/2*r**2 - 69/4*r + 3/4*r**3 = 0.
-12, 1
Suppose 3*s + 45 = 4*n, -4*n = -9*n - 5*s + 100. Suppose -2*h + n + 13 = 0. Factor -h*x**3 - 14*x - 2 - 38*x**2 - 8*x**5 - 38*x**3 + 2*x**3 - 32*x**4.
-2*(x + 1)**3*(2*x + 1)**2
Suppose -19/7*g**2 + 1/7*g**3 + 99/7*g - 81/7 = 0. What is g?
1, 9
Suppose -1/5*d**3 - 36*d - 80 - 24/5*d**2 = 0. Calculate d.
-10, -4
Factor 43/2*y - 1/2*y**2 + 0.
-y*(y - 43)/2
Let m(s) be the first derivative of s**4/26 - 8*s**3/13 + 20*s**2/13 + 144. Factor m(q).
2*q*(q - 10)*(q - 2)/13
Let w(n) be the first derivative of -3*n**4/28 + 4*n**3/21 - n**2/14 + 37. Find s, given that w(s) = 0.
0, 1/3, 1
Let s(x) be the second derivative of -3*x**5/20 + 8*x**4 - 5*x - 21. Determine f, given that s(f) = 0.
0, 32
Let -13 + 5*z**2 - 23/3*z - 1/3*z**3 = 0. What is z?
-1, 3, 13
Let v be -5 - (492/(-28) + 4). Find u such that -18/7*u**3 - 16/7 - 8*u - v*u**2 = 0.
-2, -2/3
Let j be 74/44 - (64/(-11) - (-13 + 7)). Factor 9 - j*u**2 - 3/2*u.
-3*(u - 2)*(u + 3)/2
Let p(h) = -9 - 8*h**3 - h - 9*h**2 + 9*h**3 + 2*h**3 - 4*h**3. Let a be p(-9). Factor 3/4*s**5 + 0*s + 0 + a*s**2 + 3/2*s**4 + 3/4*s**3.
3*s**3*(s + 1)**2/4
Let n be (-3)/6*-1*4. Factor -z - n*z - 2*z - 4*z + 6*z**3 + 15*z**2.
3*z*(z + 3)*(2*z - 1)
Let y = 2919/20 + -291/2. Let f(r) be the second derivative of -7*r - 2*r**4 + 3*r**2 + y*r**5 + 3/2*r**3 + 0. Let f(b) = 0. Calculate b.
-1/3, 1, 2
What is r in 48/5*r + 0 + 24/5*r**4 - 24/5*r**2 - 9*r**3 - 3/5*r**5 = 0?
-1, 0, 1, 4
Determine v, given that 2/3*v**2 - 8/3*v - 8 = 0.
-2, 6
Suppose 0 = -18*v + 15*v. Let r(c) be the second derivative of -1/16*c**4 - 7*c + v - 1/24*c**3 + 0*c**2 - 3/80*c**5 - 1/120*c**6. Suppose r(m) = 0. What is m?
-1, 0
Suppose 3*u - b = 14, -2*u + 21 = -0*b - 3*b. Let p(l) be the first derivative of -2 + 3/2*l**2 - 6*l + u*l**3. Suppose p(n) = 0. Calculate n.
-1, 2/3
Let m be 10 + (-15)/6*2. Let x(g) be the first derivative of -m - 1/2*g**2 + 0*g + 1/3*g**3. Factor x(s).
s*(s - 1)
Let x(z) be the first derivative of -z**7/7980 - z**6/3420 + z**5/285 + z**4/57 - 7*z**3/3 - 11. Let k(a) be the third derivative of x(a). Factor k(c).
-2*(c - 2)*(c + 1)*(c + 2)/19
Let x(a) = -2*a**3 - 50*a**2 + 20. Let l(p) = -10*p**2 + p + 1. Let t(n) = 4*l(n) - x(n). Solve t(g) = 0.
-4, -2, 1
Solve -2/13*o**4 + 20/13*o**3 + 0*o + 0 - 18/13*o**2 = 0 for o.
0, 1, 9
Let c(o) be the third derivative of 5*o**8/84 + 2*o**7/15 - 14*o**6/15 - 32*o**5/15 + 16*o**4/3 + 32*o**3/3 + 137*o**2. Solve c(u) = 0 for u.
-2, -2/5, 1, 2
Let a(v) be the second derivative of -1/7*v**3 + 0 - 1/28*v**4 - 3*v + 0*v**2 + 3/140*v**5. Find u such that a(u) = 0.
-1, 0, 2
Let m(c) = c**4 - c**2 + c + 1. Let l(f) = -4*f**5 + 44*f**4 - 25*f**3 - 54*f**2 + 30*f + 11. Let q(v) = 4*l(v) - 4*m(v). Find u, given that q(u) = 0.
-1, -1/4, 1, 10
Suppose 320/7*y + 2/7*y**3 + 600/7 + 46/7*y**2 = 0. Calculate y.
-10, -3
Let b be ((-60)/56 - -1)/((-270)/105). Let n(g) be the first derivative of 1/6*g**5 + 0*g + b*g**6 + 0*g**2 + 1/8*g**4 - 1/2*g**3 + 2. Factor n(o).
o**2*(o - 1)*(o + 3)**2/6
Let y = 17 - 16. What is n in n**2 - 5 + 7 + 5*n + 1 + y = 0?
-4, -1
Let z(p) = -p**2 + 13*p + 17. Let d be z(10). Determine u so that d*u**2 - 6*u**3 + 2*u**3 - 24 - 44*u - 71*u**2 = 0.
-3, -2, -1
Let p(o) = -4*o**2 + o. Let z(h) = 84*h**2 - 140*h + 900. Let b(s) = 20*p(s) + z(s). Determine k so that b(k) = 0.
15
Let x(j) = j**3 - 8*j - 3. Let b be x(3). Let n(c) be the third derivative of b + 1/15*c**4 + 0*c + 1/60*c**5 - 9*c**2 - 2/15*c**3. Factor n(h).
(h + 2)*(5*h - 2)/5
Factor n**2 - 194 + 68 + 70*n + 71 - 16*n.
(n - 1)*(n + 55)
Let w = -277 - -476. Let q = w + -994/5. Factor -3/5*a**2 - q*a**3 - 2/5*a + 0.
-a*(a + 1)*(a + 2)/5
Let w(f) be the first derivative of 2*f**6/3 + 64*f**5 + 2185*f**4 + 86840*f**3/3 + 74360*f**2 + 70304*f - 18. Determine o so that w(o) = 0.
-26, -1
Let u be -5 - -1 - (-16 + 11 - 3). Let w(t) be the second derivative of 1/3*t**3 + 0*t**2 - 3/20*t**5 + 0 - 5/12*t**u - 8*t. Solve w(d) = 0.
-2, 0, 1/3
Let 3*g**5 + 6*g**4 - 65 + 39*g + 24*g**2 - 42*g**3 - 24 + 59 = 0. Calculate g.
-5, -1, 1, 2
Let t = -1044 + 104401/100. Let m(h) be the third derivative of -2*h**2 + 0*h + 0*h**3 + 0*h**4 - t*h**5 + 0. Find i such that m(i) = 0.
0
Let z(q) be the third derivative of -2*q**2 + 0 + 0*q + 1/60*q**6 + 0*q**4 + 1/75*q**5 - 2