3*w**5 + 4/3*w + 0 = 0. What is w?
-1, -1/4, 0, 1
Let u(k) = k - 3. Let l be u(5). Factor 1805 - 648*x**2 - 190*x + 328*x**2 + 325*x**l.
5*(x - 19)**2
Let o(s) = -4*s - 141. Suppose 47*v - 144 = 51*v. Let t be o(v). Factor h**t + 1/2*h**4 + 0*h + 1/2*h**2 + 0.
h**2*(h + 1)**2/2
Let y be 2 + 0 + -4 - -260. Let k = y + -252. Factor -9*j**3 - k*j**2 - 6*j**4 - 3/2*j - 3/2*j**5 + 0.
-3*j*(j + 1)**4/2
What is l in 34/7*l + 6/7*l**3 - 2/7*l**4 + 30/7*l**2 + 12/7 = 0?
-1, 6
What is i in -10*i**2 + i**5 + 2*i**4 - 7*i**2 + 41*i**3 - 3*i**2 - 15*i**4 - 9*i**4 = 0?
0, 1, 20
Let n(t) = -374*t**2 + 14*t - 11. Let o be n(1). Let s be (-159)/o - ((-27)/(-21) - 2). Find h, given that 2/7*h + 0 - 3/7*h**4 + s*h**3 - h**2 = 0.
0, 2/3, 1
Let n(j) be the third derivative of -j**8/4480 - j**7/420 + j**6/96 + 5*j**4/6 - j**3 + 239*j**2. Let z(f) be the second derivative of n(f). Factor z(l).
-3*l*(l - 1)*(l + 5)/2
Let v(z) be the first derivative of -z**4/18 + 4*z**3/3 - 11*z**2/3 + 22*z - 49. Let u(r) be the first derivative of v(r). Factor u(w).
-2*(w - 11)*(w - 1)/3
Let a be 639/(-108) + 12 + 18 - 3. Determine w so that -a*w**2 - 27 + 51*w - 1/12*w**4 - 17/6*w**3 = 0.
-18, 1
Let j = -33707 - -33707. Let -2/7*a**2 + 24/7*a + j = 0. What is a?
0, 12
Let y(x) = 9*x**2 + 2*x - 7. Suppose 14 = 3*t - 4. Suppose 14 = t*q - 4*q. Let o(j) = -6*j**2 - j + 5. Let g(a) = q*o(a) + 5*y(a). Factor g(p).
3*p*(p + 1)
Factor -50176 - 4*s**3 + 6*s**3 + 10974*s + 11546*s + 216*s**2 - 668*s**2 + 3464*s.
2*(s - 112)**2*(s - 2)
Suppose 227 - 293 = -22*p. Suppose 1 - 3 = 2*n, 2*n = 3*v - 20. Factor -v*j + 6*j - j**p + j.
-j*(j - 1)*(j + 1)
Let y(d) be the second derivative of -129*d - 8*d**3 + 83/36*d**4 - 3/20*d**5 + 0 + 14/3*d**2. Factor y(z).
-(z - 7)*(z - 2)*(9*z - 2)/3
Determine c so that 438244/9 + 2648/9*c + 4/9*c**2 = 0.
-331
Let c = 159 - 118. Suppose -9*h**2 + 18 + 13*h - 19*h - c*h - 4*h = 0. Calculate h.
-6, 1/3
Let q(k) be the second derivative of -k**7/420 - k**6/72 + k**5/30 + 47*k**4/12 + 2*k - 78. Let a(f) be the third derivative of q(f). Find c such that a(c) = 0.
-2, 1/3
Let k be (0 + 5)*(-4 - (-44)/10). Let j be ((-66)/20 - -3)/(k/(-5)). Let 1/8*h**4 + 1/2 + j*h**3 + 13/8*h**2 + 3/2*h = 0. Calculate h.
-2, -1
Let o(w) be the first derivative of -2*w**3/21 + 4*w**2/7 + 192*w/7 + 1642. Find j, given that o(j) = 0.
-8, 12
Let a(i) = -9*i**3 + 4*i**2 + 24*i - 5. Let o(y) = -48 + 6*y**2 - 5*y**3 + 0*y**3 + 41 + 36*y - 8*y**3. Let c(h) = 7*a(h) - 5*o(h). Let c(j) = 0. What is j?
-2, 0, 3
Suppose -5*j - 4*i = -416, -193 = -4*j - i + 131. Let v be 5*(504/j + -6). Suppose 9/2*d + 0 - v*d**2 = 0. Calculate d.
0, 3
Factor -2611456/5 - 6260*s**3 + 152*s**4 - 4/5*s**5 - 381376*s - 90224*s**2.
-4*(s - 101)**2*(s + 4)**3/5
Suppose 2*d + 2*d = 8. Determine m so that -2674 - 25*m + 5*m**2 + 2704 + 0*m**d = 0.
2, 3
Let h = 216932 - 216929. Solve 52/5*a**h + 16/5*a - 128/5*a**2 + 0 + 12*a**4 = 0 for a.
-2, 0, 2/15, 1
Factor -256/5*i**3 - 8192/5*i**2 + 2/5*i**5 + 32/5*i**4 - 57344/5*i - 131072/5.
2*(i - 16)*(i + 8)**4/5
Let y be -2 - -12 - (-14739)/(-1734). Factor -y + 0*c**2 + 1/4*c**3 - 7/4*c.
(c - 3)*(c + 1)*(c + 2)/4
Let y be (-1 - (-2)/(-4))*((-442)/(-68))/(-13). Factor -y*m**4 + 0 + 3/2*m - 7/2*m**3 - 13/4*m**2.
-m*(m + 2)*(m + 3)*(3*m - 1)/4
Let y = 593/630 + -1/126. Let s = y + -17/20. Find o such that -1/12*o + 0 - 1/6*o**2 - s*o**3 = 0.
-1, 0
Suppose 2*j = 4 + 6, 4*j + 180 = 4*f. Determine d, given that 210 - 53*d - 2*d - f*d**2 + 20*d**2 + 13*d**2 + 12*d**2 = 0.
-14, 3
Solve 812/5 + 2/5*q**2 + 82*q = 0.
-203, -2
Let a(s) be the third derivative of -s**5/630 - 355*s**4/126 - 126025*s**3/63 - 714*s**2. Factor a(t).
-2*(t + 355)**2/21
Let c(i) be the second derivative of 1 + 3/20*i**4 - 2*i + 8/5*i**2 + 4/5*i**3 + 1/100*i**5. Factor c(a).
(a + 1)*(a + 4)**2/5
Suppose k + 4*f = -4*k + 170, -2*k = -5*f - 35. Determine c, given that 28*c**5 + 100*c**2 - 43*c**5 - 60*c + 25*c**3 - 20*c**4 - k*c**4 = 0.
-3, -2, 0, 2/3, 1
Let o(l) be the first derivative of 3*l**4/16 - 203*l**3/12 + 83*l**2/2 - 33*l - 984. Factor o(b).
(b - 66)*(b - 1)*(3*b - 2)/4
Let d = 38/35 + 18/35. Let v be ((-3)/(-2) - 1) + (-9)/30. Determine g so that -v*g**3 + d - 2/5*g**2 + 4/5*g = 0.
-2, 2
Determine n, given that 6/7*n**3 - 23990404/7 + 5138002*n + 29384/7*n**2 = 0.
-2449, 2/3
Let z(l) be the second derivative of -5*l**4/48 + 55*l**3/24 + 105*l**2/4 + 4*l - 13. Factor z(f).
-5*(f - 14)*(f + 3)/4
Let h(o) = o**2 - 2*o - 7. Let g(i) = -24*i**2 + 63*i - 15. Let p(r) = g(r) + 3*h(r). Find k, given that p(k) = 0.
1, 12/7
Let p = 19307/2576 + 13/2576. Let p*h + 9/2*h**3 + 9/4 + 3/4*h**4 + 9*h**2 = 0. What is h?
-3, -1
Let f = 12931027/103830 - -91/3461. Let d = -622/5 + f. Suppose h**2 + 1/6*h**3 - h**4 + 0 - d*h = 0. What is h?
-1, 0, 1/6, 1
Let m(w) = -9*w**2 - 3*w + 114. Let b(o) = -o**2 + 2*o - 1. Let v(p) = 6*b(p) + m(p). Factor v(s).
-3*(s - 3)*(5*s + 12)
Let w = -155 - -158. Suppose 2*k - 8 = -5*h, w*h + 0*h = -k + 3. What is n in -3/4*n**2 - k*n - 27 = 0?
-6
Suppose 22*v = 18*v + 4*d + 12, 3*v - 5*d - 11 = 0. Let b be v + (-253)/55 - -3. Suppose b*r**2 - 1/5*r**5 - 1/5 + 2/5*r**3 - 1/5*r**4 - 1/5*r = 0. Calculate r.
-1, 1
Factor 52/5*t**2 - 68 + 4/5*t**3 - 292/5*t.
4*(t - 5)*(t + 1)*(t + 17)/5
Determine z, given that -51/4*z**3 - 45/4*z**2 + 0 - 3/4*z**4 + 3/4*z**5 + 0*z = 0.
-3, -1, 0, 5
Let h(z) be the second derivative of -z**6/40 + 6*z**5/5 - 16*z**4 - 907*z. Factor h(a).
-3*a**2*(a - 16)**2/4
Let b(v) be the second derivative of 3/4*v**4 - 1/28*v**7 + 3/20*v**5 - 3/20*v**6 + 5*v - 1/4*v**3 - 9/4*v**2 - 1. Solve b(j) = 0.
-3, -1, 1
Let y(k) = -207*k**2 + 68*k + 25*k**3 - 63*k + 192*k**2 - 5*k**4. Let x(o) = -8*o**4 + 37*o**3 - 22*o**2 + 7*o. Let d(n) = -5*x(n) + 7*y(n). Solve d(q) = 0.
0, 1
Let x be -4 + (28/126 - (-122)/18). Factor -9*v - 2*v**2 - x*v - 32 - 4*v.
-2*(v + 4)**2
Let m(p) be the third derivative of 0*p**7 + 64/75*p**5 + 38*p**2 + 8/5*p**4 + 0 + 0*p**3 - 1/420*p**8 + 4/25*p**6 + 0*p. Factor m(g).
-4*g*(g - 6)*(g + 2)**3/5
Factor -5*z**2 - 9230*z - 3483930 - 1964908 + 376304 + 812889.
-5*(z + 923)**2
Suppose 1821*x = -36721 + 218821. Suppose 3/2*g**4 + 130*g**2 + 0 + x*g - 29*g**3 = 0. What is g?
-2/3, 0, 10
Determine p, given that 18*p + 10*p**3 - 73*p - 35*p**2 + 15*p + 5*p**4 + 60 = 0.
-3, -2, 1, 2
Let v(d) be the first derivative of d**3/3 - 39*d**2/2 + 3563. Find s such that v(s) = 0.
0, 39
Suppose -3*z + 36 + 9 = 0. Let c be 3 + (-39)/z + 18/5. Factor 6*i**4 - 6*i**3 + 6*i + 0*i**4 + 2*i**4 - 5*i**c - 3*i**2.
3*i*(i - 2)*(i - 1)*(i + 1)
Suppose -6*l + 3*l = -5*r - 34, -2*r - 1 = 3*l. Factor 8 - 20*s**l + 0*s + 6*s - 8*s**2 + 0*s + 14*s.
-4*(s - 1)*(s + 1)*(5*s + 2)
Let s = -3524 + 3547. Let j(b) be the first derivative of -2*b + s + 2/3*b**2 + 2/9*b**3. Suppose j(f) = 0. What is f?
-3, 1
Suppose -7*w = 5*h - 2*w, -h = -2*h + 4*w. Let t(v) be the third derivative of h*v**4 + 0*v + 1/30*v**5 + 0 - 1/3*v**3 + 34*v**2. Let t(p) = 0. Calculate p.
-1, 1
Let v = 34/919 - -1668/4595. Factor 0 + 18/5*i + v*i**2.
2*i*(i + 9)/5
Let w = -40/141 - -3887/282. Let 15 - 3/2*y**2 + w*y = 0. What is y?
-1, 10
Let n(h) be the first derivative of -64*h**5 + 20*h**4 + 300*h**3 - 945*h**2/2 + 270*h - 388. Factor n(l).
-5*(l + 2)*(4*l - 3)**3
Let q(s) be the third derivative of -s**6/840 - 3*s**5/140 - s**4/7 + 23*s**3/3 + 23*s**2. Let r(y) be the first derivative of q(y). Factor r(n).
-3*(n + 2)*(n + 4)/7
Let g(z) = 5*z**2 - 2085*z + 5. Let l(c) = -7*c**2 + 3128*c - 8. Let b(k) = 8*g(k) + 5*l(k). Factor b(h).
5*h*(h - 208)
Let y(j) be the second derivative of -5*j**4/2 + 141*j**3/8 - 189*j**2/8 - 13581*j. Determine i, given that y(i) = 0.
21/40, 3
Let d = 69 + -47. Suppose 3*f - 5*f + 4*v + d = 0, -5*v = 25. Factor -2*y + 0 + 2*y**3 + y**2 - y**4 + f - y**2.
-(y - 1)**3*(y + 1)
Let s be 19*1 - (-115896)/(-6146). Let v = -3 - -5. Determine x so that -3/7*x - 2/7 - s*x**v = 0.
-2, -1
Let x(y) be the first derivative of y**3/9 + 70*y**2/3 + 139*y/3 - 1295. Determine l so that x(l) = 0.
-139, -1
Solve 271*w**2 - 4*w + 75*w**5 + 565*w**4 + 5*w + 14*w - 965*w**3 + 75*w - 36*w**2 = 0 for w.
-9, -1/5, 0, 2/3, 1
Let z(r) = -5*r**2 + 22*r - 53. Suppose 31 = 17*f - 37. Let j(w) = 4*w**2 - 22*w + 54. Let d(a) 