). What is y in g(y) = 0?
-2, -1/3, 1, 2, 3
Suppose h - 2 = 2. Let m(v) be the second derivative of 0*v**2 - 3/50*v**5 - 1/15*v**3 - 5*v + 0 + 1/10*v**h + 1/75*v**6. Factor m(d).
2*d*(d - 1)**3/5
Let i be 104/8 + 1530/(-120). Find g such that -1/2*g**4 - 1/2 + 1/4*g + i*g**3 + 3/2*g**2 = 0.
-1, 1/2, 2
Let b(n) = 5*n**4 + 88*n**3 + 598*n**2 + 1752*n + 1875. Let f(q) = 10*q**4 + 175*q**3 + 1195*q**2 + 3505*q + 3750. Let p(u) = -5*b(u) + 2*f(u). Factor p(z).
-5*(z + 3)*(z + 5)**3
What is r in 1024/13 + 48/13*r**2 - 2/13*r**3 - 384/13*r = 0?
8
Let y be (84/(-27) - -2)/(-2). Let j be ((-6)/12 + 1)*(-8)/(-2). Suppose -4/9*u**j + y*u - 1/9 = 0. What is u?
1/4, 1
Let m(z) be the third derivative of z**6/40 + z**5/5 + z**4/8 - 3*z**3 + 65*z**2 + z. Solve m(i) = 0 for i.
-3, -2, 1
Let t = 88637/47256 + -4/5907. Factor -3/8*r**2 - t*r - 9/4.
-3*(r + 2)*(r + 3)/8
Let h(d) be the second derivative of -3*d**5/80 - d**4/16 + 9*d**3/8 + 27*d**2/8 - 2*d - 8. Find m, given that h(m) = 0.
-3, -1, 3
Let g(v) be the first derivative of 6 - 3/25*v**5 + 3/5*v + 0*v**3 + 3/10*v**4 - 3/5*v**2. Find o, given that g(o) = 0.
-1, 1
Let b(j) be the second derivative of -j**5/270 + j**4/54 - j**3/27 + 5*j**2/2 + 12*j. Let t(u) be the first derivative of b(u). Suppose t(r) = 0. Calculate r.
1
Let v(m) be the third derivative of m**7/315 - m**6/60 + m**5/90 + m**4/12 - 2*m**3/9 - 57*m**2. What is n in v(n) = 0?
-1, 1, 2
Suppose 38 = -n + 3*b, 3*b + 52 = -n - b. Let d = n + 46. What is i in 2/5*i**3 + 4/5*i + 0 - 6/5*i**d = 0?
0, 1, 2
Let p(c) be the third derivative of c**7/1260 + c**6/60 + 3*c**5/20 - 19*c**4/24 - 10*c**2. Let g(s) be the second derivative of p(s). Factor g(n).
2*(n + 3)**2
Let j = 536/711 - 42/79. Let h be 1/3 - (-3)/(-9). Factor -2/9*w**3 - j*w + h - 4/9*w**2.
-2*w*(w + 1)**2/9
Let t = 9379/2 + -4688. What is k in t*k**5 - 15/4*k**2 - 9*k + 27/4*k**4 - 3 + 15/2*k**3 = 0?
-2, -1, -1/2, 1
Let c(m) be the third derivative of -m**5/20 - m**4/2 - 3*m**3/2 + 3*m**2 + 12. Factor c(x).
-3*(x + 1)*(x + 3)
Let o be 28/4 - (-1 + 2). Solve -29*c**4 - o + 6*c - 31*c**4 + 99*c**3 - 45*c**2 + 6 = 0.
0, 1/4, 2/5, 1
Let m = -1/2666 + 1453/319920. Let b(v) be the third derivative of -m*v**5 + 0*v + 0*v**3 + 0 + 13*v**2 + 0*v**4 + 1/240*v**6. Factor b(f).
f**2*(2*f - 1)/4
Let a(j) be the second derivative of j**5/20 - j**4 + 11*j**3/6 - 130*j. Let a(m) = 0. What is m?
0, 1, 11
Solve -3/2 - 81/4*n**2 + 45/4*n = 0 for n.
2/9, 1/3
Suppose -4*v = u + 7, 0 = 3*u - 5*u + 5*v + 25. Let s be u - (-3 + 66/9). What is f in s*f**2 - 2/9*f**4 + 0 + 0*f**3 + 4/9*f = 0?
-1, 0, 2
Suppose -3*g + 3*t = -t + 169, -305 = 5*g + 5*t. Let c = 61 + g. Suppose 2/11*z**c + 4/11 + 6/11*z = 0. What is z?
-2, -1
Let o(u) = u**3 + 5*u**2 + 5*u + 6. Let b be o(-4). Let f(l) = l - 7. Let m be f(11). Solve -4*z + z**2 + z**2 - b*z + m = 0 for z.
1, 2
Let 16/5 - 16/5*b**2 + 44/5*b**3 - 9/5*b**5 + 3/5*b**4 - 32/5*b = 0. What is b?
-2, -1, 2/3, 2
Let m = -9/10 - -199/210. Let j(c) be the second derivative of 1/10*c**5 + 0*c**2 - 4/105*c**6 - 1/21*c**3 - 4*c + 0 - m*c**4. Factor j(u).
-2*u*(u - 1)**2*(4*u + 1)/7
Let p = -95/6 - -389/24. Let m(t) be the first derivative of -3/4*t**2 + 0*t + 2 + p*t**4 + 0*t**3. Determine h, given that m(h) = 0.
-1, 0, 1
Suppose -k + 2*n + 1 = 6, 0 = 2*k - 3*n + 12. Let s be 0/(-6 - (k + 5)). Factor -5/3*f**4 - 2*f + 4*f**3 + 11/3*f**2 + s.
-f*(f - 3)*(f + 1)*(5*f - 2)/3
Let z be (-2)/1 + 309/126. Let i = z + 1/21. Factor 3/2 - n - i*n**2.
-(n - 1)*(n + 3)/2
Let o(y) be the first derivative of y**6/180 - y**5/20 + y**4/6 - 7*y**3/3 - 2. Let z(q) be the third derivative of o(q). Find k such that z(k) = 0.
1, 2
Factor 4/3 - 22/9*j + 4/3*j**2 - 2/9*j**3.
-2*(j - 3)*(j - 2)*(j - 1)/9
Let y = -9823/3 + 3277. Solve -4/3 + y*j - 4/3*j**2 = 0.
1
Let b(v) be the first derivative of 0*v + 38 - 2/17*v**2 - 8/85*v**5 - 3/34*v**4 + 6/17*v**3. Solve b(m) = 0.
-2, 0, 1/4, 1
Let r(f) be the first derivative of f**4/6 + 16*f**3 + 432*f**2 - 268. Solve r(l) = 0.
-36, 0
Let y(i) be the third derivative of 2/165*i**6 + 2/11*i**4 + 0 - i**2 - 1/1155*i**7 - 3/11*i**3 + 3*i - 1/15*i**5. What is s in y(s) = 0?
1, 3
Let k = 10 - 5. Suppose -5*h + 3*x = 4*x - 13, 0 = -k*h + 2*x + 4. Determine w, given that 5*w + 3*w - 4*w - 2*w + h*w**3 - 4*w**2 = 0.
0, 1
Let w(i) be the second derivative of -i**6/15 - 7*i**5/10 + 4*i**4/3 + 30*i. Factor w(n).
-2*n**2*(n - 1)*(n + 8)
Let n(m) = m**2 - 2*m - 3. Let s(i) = -3*i**2 + 4*i + 7. Let c be 1/4 - 87/12. Let q = 9 + c. Let j(y) = q*s(y) + 5*n(y). Factor j(b).
-(b + 1)**2
Let l(g) be the second derivative of -g**7/2520 + g**6/72 - 5*g**5/24 - g**4/2 + 2*g + 1. Let z(q) be the third derivative of l(q). Let z(c) = 0. What is c?
5
Let l(k) = -20*k**4 - 9*k**3 + 11*k**2 - 9*k + 9. Let u(r) = 5*r**4 + 2*r**3 - 3*r**2 + 2*r - 2. Let v(f) = -2*l(f) - 9*u(f). Factor v(j).
-5*j**2*(j - 1)*(j + 1)
Let i be (8 + (-47)/4)*-2*(-3)/(-9). Factor 5/3 - 10/3*x**2 + 5/6*x - i*x**3.
-5*(x + 1)**2*(3*x - 2)/6
Let g(v) be the third derivative of 0*v**3 - 2/735*v**7 + 0*v**4 + 0*v - 1/420*v**6 + 0 + 1/1176*v**8 - 7*v**2 + 1/105*v**5. Suppose g(n) = 0. What is n?
-1, 0, 1, 2
Factor -6/7*l + 2/7*l**2 - 8.
2*(l - 7)*(l + 4)/7
Suppose 598*x - 601*x = 0. Suppose 0 - 2*c**4 + 14/9*c**3 + x*c + 4/9*c**2 = 0. Calculate c.
-2/9, 0, 1
Let d(y) = 9*y + 86. Let t be d(-9). Let n(a) be the third derivative of 12*a**2 + 0 + 0*a**3 + 1/30*a**4 + 1/50*a**t + 0*a + 0*a**6 - 1/525*a**7. Factor n(r).
-2*r*(r - 2)*(r + 1)**2/5
Let q = -8 + 14. Let i be (q/18)/(1/12). Find u, given that 16 + 3*u**2 - 11*u**2 + 4*u + i*u + 9*u**2 = 0.
-4
Let s = 10 + 8. Suppose 0 = -s*g + 8*g + 40. Determine p so that 0*p - 1/4*p**g - 1/2*p**3 + 0*p**2 + 0 = 0.
-2, 0
Let h be (2 - 1)/(((-5)/15)/(-1)). Suppose -5*f = -3*m, -34 = 2*m - 7*m - 3*f. Suppose -t**3 - t**2 + m*t**h - 7*t**2 = 0. What is t?
0, 2
Let c be 13 - ((-28)/(-35) - 3336/(-280)). Factor 8/7*n**3 + 0*n - c*n**4 + 0*n**2 + 0.
-2*n**3*(n - 4)/7
Let n(x) be the third derivative of x**5/300 + 19*x**4/120 + 29*x**2. Determine s, given that n(s) = 0.
-19, 0
Let t = -11111/4 + 2778. Factor -3/4*m**3 + 1/4*m**2 + 3/4*m + t*m**4 - 1/2.
(m - 2)*(m - 1)**2*(m + 1)/4
Factor 6/7*p - 33/7*p**2 + 27/7*p**3 + 0.
3*p*(p - 1)*(9*p - 2)/7
Let x(n) = 4*n - 2. Let f be x(1). Suppose 0 = 2*w - f - 2. Solve -2 + 2*q**2 - 4 + 4*q + 6 + w = 0.
-1
Suppose 0 = -2*x + 62 - 26. Suppose -4*w**3 - 4*w**3 + x*w**5 - 3*w**3 + 4*w**4 - 4*w**2 - 7*w**3 = 0. Calculate w.
-1, -2/9, 0, 1
Let o(j) = -8*j**2 + 3*j - 2. Let u(p) = p**2 - 4*p - 10*p + 13*p + 1. Let z(i) = -3*o(i) - 21*u(i). Find t such that z(t) = 0.
-5, 1
Let g(u) be the first derivative of -8 + 0*u**2 - 1/3*u**6 + 0*u + 1/2*u**4 + 4/5*u**5 - 4/3*u**3. What is r in g(r) = 0?
-1, 0, 1, 2
Let k(p) = p**3 - 2*p**2 - p - 1. Let i(c) = 20*c**3 - 380*c**2 - 5470*c - 25. Let y(x) = i(x) - 25*k(x). Factor y(t).
-5*t*(t + 33)**2
Suppose 0 = 2*f + 299 + 907. Let i be (f/(-132) - 4) + (-6)/(-33). Factor -1/2 - 1/4*j**2 - i*j.
-(j + 1)*(j + 2)/4
Let t(z) be the third derivative of -z**6/960 + 173*z**5/480 - 2465*z**4/64 - 2523*z**3/16 - 883*z**2. What is q in t(q) = 0?
-1, 87
Let b(o) be the third derivative of -1/48*o**6 - o**4 + 23/420*o**7 + 3*o**3 - 107/120*o**5 + 0 - 23*o**2 + 0*o + 5/672*o**8. Determine f, given that b(f) = 0.
-3, -1, 2/5, 2
Factor 87 - 1/2*q**2 - 173/2*q.
-(q - 1)*(q + 174)/2
Suppose 0 = -20*g + 19*g + 5*n + 5, -3*g = -n - 1. Let i(q) be the second derivative of 0*q**2 + 0 - 1/5*q**5 + g*q**3 + 2/3*q**4 + 9*q. Factor i(u).
-4*u**2*(u - 2)
Let c(b) be the second derivative of 3*b**5/100 + 5*b**4/4 - b**3/10 - 15*b**2/2 - b. Factor c(u).
3*(u - 1)*(u + 1)*(u + 25)/5
Let j(c) be the first derivative of -2/27*c**3 - 1/54*c**4 + 0*c**2 + 1 + 1/90*c**5 + 2*c. Let v(k) be the first derivative of j(k). Factor v(h).
2*h*(h - 2)*(h + 1)/9
Factor -2/3*y**2 + 0 - 1/3*y - 1/3*y**3.
-y*(y + 1)**2/3
Let l = 10423/3 - 3471. Let -l - 5/3*p**4 + 35/3*p - 15*p**2 + 25/3*p**3 = 0. Calculate p.
1, 2
Let o = 1/1373 + 1367/8238. Let f(m) be the third derivative of 0 + 6*m**2 + o*m**4 + 0*m**3 + 0*m + 7/30*m**5 - 1/35*m**7 + 1/30*m**6. Solve f(a) = 0.
-1, -1/3, 0, 2
Factor -34*i**4 - 7*i**3 + 83*i**3 - i**5 - 30*i**2 + 3*i**5 - 14*i**3.
2*i