ive of -q**8/24 + 3*q**7/35 + 19*q**6/60 - 13*q**5/30 - q**4 + 4*q**3/3 - 9*q**2 - 8. Let p(t) = 0. What is t?
-1, 2/7, 1, 2
Determine g, given that -2*g - 2/9*g**2 - 28/9 = 0.
-7, -2
Let o(v) be the first derivative of 2*v**5/35 + v**4/14 - 4*v**3/7 + 102. What is b in o(b) = 0?
-3, 0, 2
Let x = 151 + -132. Suppose -5*u = -5*r - 30, 4*u - 3*r = 1 + x. What is b in -1/8*b**u + 1/8*b + 1/4 = 0?
-1, 2
Let j(a) be the second derivative of a**6/50 - a**4/10 + 3*a**2/10 - a + 50. Suppose j(s) = 0. What is s?
-1, 1
Let f(v) = -4*v**4 + 8*v**3 - 17*v + 4. Let d = 8 - -1. Let t(n) = -n**4 + 2*n**3 - 4*n + 1. Let m(r) = d*t(r) - 2*f(r). Let m(o) = 0. What is o?
-1, 1
Find z, given that 207/5*z**2 + 328509/5 - 1/5*z**3 - 14283/5*z = 0.
69
Let g(y) be the second derivative of -33/4*y**4 - 9/2*y**3 - 6*y**5 + 0 + 30*y + 0*y**2 - 8/5*y**6. Determine j so that g(j) = 0.
-1, -3/4, 0
Let y(z) be the first derivative of 0*z**3 - 1/5*z**5 + 0*z**2 + 0*z + 1/4*z**4 - 13. Factor y(r).
-r**3*(r - 1)
Let h(f) = 4*f**2 - 8*f + 7. Let m(d) = -d**2 + 3. Let r(k) = -2*h(k) - 6*m(k). Factor r(w).
-2*(w - 4)**2
Let t(c) be the third derivative of 15*c**8/448 - c**7/4 + 5*c**6/12 + c**5 - 5*c**4/2 - 20*c**3/3 + 49*c**2 + 2*c. Solve t(u) = 0.
-2/3, 2
Let w(l) be the second derivative of -l**7/42 + 7*l**6/30 - 11*l**5/20 + 5*l**4/12 + 14*l - 1. Let w(v) = 0. What is v?
0, 1, 5
Let k(h) = 2*h - 34. Let r be k(20). What is c in -726*c**2 - 3*c**4 + 4*c - r*c**3 + 3*c**4 + 2*c**4 + 2*c**5 + 724*c**2 = 0?
-2, -1, 0, 1
Let p(s) be the first derivative of -s**6/39 - 4*s**5/65 + s**4/13 + 16*s**3/39 + 7*s**2/13 + 4*s/13 - 8. Factor p(h).
-2*(h - 2)*(h + 1)**4/13
Let k(n) be the second derivative of 2*n**4/51 + 91*n**3/51 - 23*n**2/17 - 2*n - 130. Find v, given that k(v) = 0.
-23, 1/4
Let c(w) be the second derivative of -w**5/15 - 3*w**4/20 + w**3/15 - 9*w**2 - 12*w. Let b(p) be the first derivative of c(p). Determine u so that b(u) = 0.
-1, 1/10
Let a be (-1)/(3 - 290/95). Suppose a*r = -r + 5*r. Factor r + 2/5*m**2 - 2/5*m.
2*m*(m - 1)/5
Let -12 - 4 + 5*m**4 - 10*m + 10*m**3 + 11 = 0. What is m?
-1, 1
Let t(m) be the first derivative of -11 - 1/44*m**4 + 1/11*m**3 + 9/22*m**2 - 27/11*m. Find u, given that t(u) = 0.
-3, 3
Let v(x) be the third derivative of x**9/5040 - x**7/280 - x**6/120 + x**4/2 + 12*x**2. Let c(i) be the second derivative of v(i). Factor c(j).
3*j*(j - 2)*(j + 1)**2
Let d = -3 + -7. Let f be 8/d*45/(-6). Factor -2*o + f*o**3 + 3*o + o**5 + 5*o**4 + 4*o**2 - o**4.
o*(o + 1)**4
Let j(l) = 15*l**5 + 26*l**4 + 2*l**3 - 5*l**2 + l - 1. Let b(d) = d**5 - 2*d**4 - d**3 - d**2 + 1. Let o(s) = -b(s) - j(s). Factor o(w).
-w*(w + 1)**2*(4*w - 1)**2
Suppose 5*b - 55 = -5*k, -2*b = -b + 1. Let o = 14 - k. Factor 0 + 2/7*l**o - 2/7*l.
2*l*(l - 1)/7
Let y(b) be the first derivative of -b**6/6 - 6*b**5/5 - 3*b**4/2 + 20*b**3/3 + 39*b**2/2 + 18*b - 22. Factor y(f).
-(f - 2)*(f + 1)**2*(f + 3)**2
Let w(s) be the third derivative of -2*s**7/105 + s**6/6 + 7*s**5/15 - 5*s**4/6 - 4*s**3 - 57*s**2 - 2. Factor w(u).
-4*(u - 6)*(u - 1)*(u + 1)**2
Factor 144*x - x - 71*x - 308 - 4*x**2.
-4*(x - 11)*(x - 7)
Let j(p) be the second derivative of 2*p**7/35 - 13*p**6/50 - 99*p**5/100 + 117*p**4/20 - 27*p**3/10 - 7*p - 1. Suppose j(m) = 0. What is m?
-3, 0, 1/4, 3
Let i(d) be the first derivative of -d**6/3 + 28*d**5/5 - 27*d**4 + 176*d**3/3 - 65*d**2 + 36*d + 96. Solve i(v) = 0 for v.
1, 2, 9
Let u be (-10)/(-2) + -154 + 149. Factor -1/2*h**3 - h**2 + 3/2*h + u.
-h*(h - 1)*(h + 3)/2
What is r in 32/3*r**2 + 1/3 - 13/2*r + 35/2*r**3 = 0?
-1, 2/35, 1/3
Let d(u) be the first derivative of -u**4/2 - u**3/3 + 5*u**2/2 - 2*u - 39. Solve d(p) = 0 for p.
-2, 1/2, 1
Let r(d) = -2*d. Let f(n) = 36*n**2 + 33*n + 3. Let u(h) = -f(h) + 3*r(h). Factor u(m).
-3*(m + 1)*(12*m + 1)
Suppose 3*u + 2*u = 25. Determine h, given that 327*h**3 - 2*h**5 - 2*h**4 + h**u - 328*h**3 = 0.
-1, 0
Let -5*q**2 + 1160*q + 9*q**2 - 6*q**2 - 35103 - 133097 = 0. Calculate q.
290
Let p = 5/351 - -331/1404. Factor 0 + 0*b**2 + p*b - 1/4*b**3.
-b*(b - 1)*(b + 1)/4
Let y be (1/150)/(48/60). Let a(c) be the third derivative of -y*c**6 + 1/30*c**5 + 0*c**3 - 1/24*c**4 + 0 + 0*c + 5*c**2. Factor a(h).
-h*(h - 1)**2
Let q(c) be the first derivative of -c**6/600 - c**5/100 + 3*c**4/40 - 3*c**3 + 14. Let z(x) be the third derivative of q(x). What is b in z(b) = 0?
-3, 1
Factor -8 - c**2 - 10 + 2183*c - 2202*c.
-(c + 1)*(c + 18)
Let w(f) be the first derivative of f**5 + 175*f**4/4 - 5*f**3/3 - 175*f**2/2 - 216. Factor w(d).
5*d*(d - 1)*(d + 1)*(d + 35)
Let o(v) be the second derivative of v**7/105 - v**6/20 + v**5/30 + v**4/4 - 2*v**3/3 - 21*v**2/2 + 10*v. Let c(d) be the first derivative of o(d). Factor c(x).
2*(x - 2)*(x - 1)**2*(x + 1)
Determine p, given that 12*p**4 + 54*p**2 + 51*p**3 + 2*p**5 - 14*p**2 - 2*p**4 + 8*p**4 - 3*p**3 = 0.
-5, -2, 0
Let f = 1879 + -176631/94. Let q = 821/470 - f. Find d such that -q*d - 3/5 - 6/5*d**2 = 0.
-1, -1/2
Let u be (-2)/1 - (-4 + -7). Let t be (-3 + 2)/(u + -11). Determine q so that 1/2*q + t*q**2 + 0 = 0.
-1, 0
Let c be 238/85 - (-4)/(-5). Let q(t) be the third derivative of 1/20*t**5 - t**3 + 0*t + t**c + 0 + 1/8*t**4. Find w such that q(w) = 0.
-2, 1
Suppose v - 6 = 4*b, 7*v - 8*v - 1 = 3*b. Let z(a) be the second derivative of 1/90*a**6 + 0*a**2 - 1/9*a**3 - 1/36*a**4 - v*a + 1/30*a**5 + 0. Factor z(y).
y*(y - 1)*(y + 1)*(y + 2)/3
Let x be ((2 + -5)/6)/((-2)/(-12)). Let t(z) = z**2 + 2*z. Let p be t(x). Factor p + 0*q - 3/4*q**2.
-3*(q - 2)*(q + 2)/4
Let j(s) = -s - 16. Let p be j(-11). Let y be 0*2/(-1 - p). Factor y*d**3 - 2/3*d**4 + 1/3*d**5 + 0*d**2 + 0 + 0*d.
d**4*(d - 2)/3
Let i = -75/164 - -2999/820. Find u, given that i*u**3 - 4/5*u**2 - 16/5*u + 4/5 = 0.
-1, 1/4, 1
Solve -4/11*x**3 - 8/11*x + 0 + 2/11*x**4 - 14/11*x**2 = 0 for x.
-1, 0, 4
Let k(m) = -m**2 - m. Let f(g) = 0*g + 2*g**2 - 6*g - 8*g**2. Let o(q) = 14*q**2 + 1. Let w be o(1). Let h(u) = w*k(u) - 3*f(u). Find r such that h(r) = 0.
-1, 0
Let h = 1306/1279 - 550181/858209. Let x = -1/61 + h. Solve 0 - 2/11*l**5 - 6/11*l**4 - x*l**3 + 0*l + 0*l**2 = 0.
-2, -1, 0
Let u(j) be the third derivative of -2*j**5/195 - 51*j**4/52 - 38*j**3/39 + 39*j**2 + 4. Factor u(y).
-2*(y + 38)*(4*y + 1)/13
Let k(h) be the third derivative of -2*h**7/105 + 43*h**6/30 + h**5/15 - 43*h**4/6 - 56*h**2 - 3*h. Suppose k(q) = 0. What is q?
-1, 0, 1, 43
Let u = 6376/12753 - -1/25506. Solve -u*n**4 + 0 + 0*n + 1/2*n**3 + 0*n**2 = 0.
0, 1
Let l(y) be the first derivative of 6*y**5/5 - 141*y**4/8 + 34*y**3 + 15*y**2 + 381. Determine t so that l(t) = 0.
-1/4, 0, 2, 10
Suppose 415 - 450 = -7*f. Let b(w) be the third derivative of w**2 - 1/20*w**f + 0*w - 3/2*w**3 + 0 + 1/2*w**4. Factor b(s).
-3*(s - 3)*(s - 1)
Let w(i) = 9*i**2 + 32*i + 23. Let p(g) = 5*g**2 + 16*g + 11. Let c(t) = -10*p(t) + 6*w(t). Determine k, given that c(k) = 0.
-7, -1
Factor -324/5 + 34/5*g**3 - 253/5*g**2 - 1/5*g**4 - 612/5*g.
-(g - 18)**2*(g + 1)**2/5
Let w(h) be the second derivative of -3*h**5/35 - 199*h**4/28 - 175*h**3 + 1875*h**2/14 - 397*h. Factor w(o).
-3*(o + 25)**2*(4*o - 1)/7
Let y(b) be the third derivative of -b**7/525 + b**6/75 - b**5/25 + b**4/15 - b**3/15 + 40*b**2 + 2*b. Factor y(d).
-2*(d - 1)**4/5
Let l be (-26)/169 + 2/13. Let x(a) = -3*a + 3. Let b be x(l). Factor -5*z + z + 17 + 4*z**b - 12*z**2 - 5.
4*(z - 3)*(z - 1)*(z + 1)
Let k be (-1)/(2/(-10) - 338/310). Let q = k + -2/5. Let -q*s + 1/4 + 0*s**4 - 1/4*s**2 - 1/8*s**5 + 1/2*s**3 = 0. What is s?
-2, -1, 1
Let i(y) be the first derivative of -y**5/30 - 2*y**4/3 - 31*y**3/6 - 115*y**2/6 - 100*y/3 - 582. Find t such that i(t) = 0.
-5, -4, -2
Let z be (-1 - 0)/(4 + -4 - 600). Let v(c) be the third derivative of 1/300*c**5 + 3*c**2 + 0 + 0*c**3 + 0*c**4 - z*c**6 + 0*c. Factor v(n).
-n**2*(n - 1)/5
Let p(a) be the third derivative of a**5/30 + 23*a**4/2 - 139*a**3/3 - 834*a**2. Let p(n) = 0. What is n?
-139, 1
Let q = -332/19 - -344/19. Let h = q - -33/38. Factor -h*v**3 + 3/2*v**2 + 3/2*v**5 + 0*v - 3/2*v**4 + 0.
3*v**2*(v - 1)**2*(v + 1)/2
Let s(l) = -l**2 + 7*l + 5. Let o be s(6). Suppose -18*t**2 + 14*t**3 + o*t**5 + 8 - 15*t**5 - 2*t**5 - 8*t + 10*t**4 = 0. What is t?
-1, 2/3, 1, 2
Let i(r) be the thi