) = 0.
-11, -1
What is y in -3042 + 2769*y - 3/4*y**5 + 1629/2*y**2 + 81/2*y**4 - 2325/4*y**3 = 0?
-2, 1, 3, 26
Suppose 5*m - 55 = -45. Let 3 - 87*n**2 + 85*n**m + 21 - 14*n - 8 = 0. Calculate n.
-8, 1
Let f(g) = g**2 - 8*g + 8. Let i be f(13). Suppose i = 7*k - 32. Suppose -k*o - 3*o**2 + 14*o + 19*o - 15 = 0. Calculate o.
1, 5
Let u = -17158/4407 + 16/339. Let j = -124/39 - u. Determine o, given that -4/3 + 2*o - j*o**2 = 0.
1, 2
Determine f so that -686/9*f**5 + 2720/9 - 217336/9*f**3 + 128704/9*f**2 + 39298/3*f**4 - 10432/3*f = 0.
2/7, 1, 170
Let x(t) = t**3 + 14*t**2 - 15*t + 2. Let c be x(-15). Suppose -31 = -6*i + 3*i - 5*n, -2*i + 27 = -3*n. Solve i*q**2 - 16*q + c*q + 3 - q = 0 for q.
1/4, 1
Let u be 2268/288*192/324. Factor 4114/15*q - 2/15*q**4 - 286/5*q**2 - 5324/15 + u*q**3.
-2*(q - 11)**3*(q - 2)/15
Let q(k) be the third derivative of k**8/105 - 12*k**7/25 + 3841*k**6/600 + 168*k**5/25 + 32*k**4/15 - 5638*k**2. Suppose q(o) = 0. Calculate o.
-1/4, 0, 16
Let q(t) be the first derivative of 4*t**2 + 4*t**4 + 2 + 4/5*t**5 + 20/3*t**3 + 0*t. Determine a so that q(a) = 0.
-2, -1, 0
Suppose 2*y - 6 = -2. Let i be 4/(-8)*2/y*-4. Determine x so that 5*x**4 + x**3 + 15*x**3 + 45*x - 29*x**i + 104*x**2 + 19*x**3 = 0.
-3, -1, 0
Let m(c) = 6*c + 67. Let t be m(-11). Let z be 2 - ((-282)/90 - t/(-3)). Find b such that 2/5*b**3 + 96/5*b - 128/5 - z*b**2 = 0.
4
Suppose 64/5*b + 14/5*b**2 + 2*b**4 - 24/5 - 64/5*b**3 = 0. What is b?
-1, 2/5, 1, 6
Let f be (2 + 2 - -3) + -4. Factor 5*b**2 + 105*b + f - 130*b - 3.
5*b*(b - 5)
Let c(d) be the third derivative of -d**7/1470 - d**6/210 + 3*d**5/140 + 2*d**4/21 - 10*d**3/21 + 1203*d**2. Let c(w) = 0. Calculate w.
-5, -2, 1, 2
Let t(f) be the first derivative of f**5/20 + 5*f**4/6 - 11*f**3/6 - 21*f + 86. Let p(w) be the first derivative of t(w). Solve p(c) = 0 for c.
-11, 0, 1
Let s(g) = 87*g**3 - 141*g**2 - 1950*g - 6162. Let t(f) = 14*f**3 - f**2 - f - 1. Let n(z) = s(z) - 6*t(z). Solve n(y) = 0.
-6, 57
Let s be (0 + -1*5)*1140/(-25650). Let c(d) be the first derivative of 7 - 2/3*d**2 - s*d**4 - 2/3*d**3 - 2/9*d. Suppose c(l) = 0. Calculate l.
-1, -1/4
Suppose -8186 + 15452*m - 2286 + 36894*m**2 - 112 + 21*m**5 + 10000*m + 12597*m**3 + 960*m**4 = 0. What is m?
-21, -2, 2/7
Let y(l) be the third derivative of 0*l + 1/135*l**5 + 229*l**2 - 1/540*l**6 + 7/108*l**4 + 0 + 4/27*l**3. Solve y(n) = 0 for n.
-1, 4
Let q(z) = 22*z**4 + 23*z**3 - 30*z**2 - 97*z + 109. Let i(c) = 30*c**4 + 24*c**3 - 30*c**2 - 96*c + 108. Let s(v) = 3*i(v) - 4*q(v). Let s(t) = 0. What is t?
-2, 1, 4, 7
Let o be (6 + -7)*1*313. Let h = -1249/4 - o. Factor -h*n**5 - 3/4*n**3 + 3/2*n**4 + 0*n + 0 + 0*n**2.
-3*n**3*(n - 1)**2/4
Suppose -2*o + 32 = -4*y, -4*y - 62 = -3*o - 12. What is s in -46*s**3 + 14*s**3 + o*s**3 + 144 + 10*s**3 - 4*s**2 + 304 + 160*s = 0?
-4, 7
Suppose 32 = 4*y + 2*n, 5718*y = 5713*y + 6*n + 108. Factor 18/7*l**2 + 9/7*l**3 - 3/7*l**4 + 72/7 - y*l.
-3*(l - 2)**3*(l + 3)/7
Let o be -59 + ((-2640)/(-55) - -11). Determine z so that 2/7*z**4 + 0 + 0*z**2 + 4/7*z**3 + o*z = 0.
-2, 0
Let n(q) be the second derivative of 1/18*q**4 + 64*q - 34/3*q**2 + 0 + 5/3*q**3. Factor n(p).
2*(p - 2)*(p + 17)/3
Suppose -56*a**4 + 42*a**3 - 315*a + 115*a + a**5 - 267 - 165 + 107*a**2 + a**5 + 225*a**2 = 0. Calculate a.
-2, -1, 2, 27
Let b = 388109 - 1947102/5. Let r = 1313 + b. Factor 2/5 - r*s**3 - 8/5*s + 2/5*s**4 + 12/5*s**2.
2*(s - 1)**4/5
Suppose 3*d + 20 = 2. Let q be (3/d)/((-1)/18). Factor 96*j + 36 + 88*j**2 - 5*j**4 + 33*j**3 - j**3 + q*j**4.
4*(j + 1)**2*(j + 3)**2
Let y(q) = 11*q**2 + 13*q - 50. Let n(x) = -2*x**2 - 3*x + 2*x - 16 + 6 + 9. Let t(l) = 4*n(l) + y(l). Factor t(d).
3*(d - 3)*(d + 6)
Let s(l) = l**3 + 5*l**2 + 3*l - 2. Let b be s(-4). Factor 105*x**2 - 218*x**b - 30*x + 108*x**2 - 45.
-5*(x + 3)**2
Let w(t) be the first derivative of t**6/39 - 38*t**5/65 + 3*t**4 - 232*t**3/39 + 56*t**2/13 - 972. Suppose w(l) = 0. Calculate l.
0, 1, 2, 14
Let q(f) = 8*f - 75. Let g be q(14). Let n = 10 + -8. Let 3*t**3 - n*t**3 - 38*t + g*t = 0. Calculate t.
-1, 0, 1
Let m = 332034 - 332022. Factor -68/5*z - 4/5*z**2 - m + 4/5*z**3.
4*(z - 5)*(z + 1)*(z + 3)/5
Let h be ((2 - 11)*((-22626)/(-648) - 35))/((-9)/(-6)). Find l such that 1/2*l**4 + l + 0 + h*l**5 - 3/2*l**3 - 1/2*l**2 = 0.
-2, -1, 0, 1
Let q(u) be the third derivative of -22*u**2 + 0 - 1/60*u**5 - 7/24*u**4 + 0*u - u**3. Find f such that q(f) = 0.
-6, -1
Solve 2/7*n**3 + 426/7*n**2 + 9450 + 3330*n = 0 for n.
-105, -3
Let p(w) = -2*w**2 - 22*w + 8. Let n be p(-11). Suppose -9*c + 51 = n*c. Factor c*a**3 - 107*a**2 + 55*a**2 + 61*a**2.
3*a**2*(a + 3)
Factor 2/9*a**2 + 136/9*a + 88/3.
2*(a + 2)*(a + 66)/9
Let v(f) be the third derivative of -f**6/300 - 31*f**5/75 - 121*f**4/60 - 4*f**3 + 2*f**2 + 2711*f. Factor v(i).
-2*(i + 1)**2*(i + 60)/5
Suppose 6*c - 4*m = 9*c - 35, 5*m = 25. Solve 326*i**3 - 31*i + 298*i + 46*i**4 + 200 + 373*i + 2*i**c + 722*i**2 = 0.
-10, -1
Suppose 618 = 955*d - 1128 - 164. Factor -1/4*x**d - 3/2*x - 2.
-(x + 2)*(x + 4)/4
Let p(d) = -27*d**5 - 60*d**4 + 728*d**3 - 676*d**2 - 7. Let r(v) = -4*v**5 - v**4 - 1. Let m(y) = 3*p(y) - 21*r(y). Factor m(w).
3*w**2*(w - 26)**2*(w - 1)
Let j(g) = 5*g - 5. Let a be j(-7). Let h = 42 + a. Factor 195*f**2 + 3*f**3 - 4 - 186*f**h - 8.
3*(f - 1)*(f + 2)**2
Let l(z) be the first derivative of -5*z**4/4 + 665*z**3 + 4005*z**2/2 + 2005*z + 800. Factor l(n).
-5*(n - 401)*(n + 1)**2
Let k = -244 + 1221/5. Let y = 3244 + -3242. Let k*j**3 + 0 + 2/5*j**y + 0*j = 0. What is j?
-2, 0
Factor 19*k**2 + 87*k + 3*k**2 - 39*k + 360 + k**3 + 108*k.
(k + 6)**2*(k + 10)
Let a(m) be the first derivative of -4*m**3/3 + 22*m**2 - 112*m + 9215. Factor a(v).
-4*(v - 7)*(v - 4)
Let v(j) be the second derivative of -j**5 + 407*j**4/3 + 3076*j**3/3 - 1360*j**2 - 7001*j. Factor v(f).
-4*(f - 85)*(f + 4)*(5*f - 2)
Solve -9565*z + 2*z**2 - 2730 + 10*z**2 - 74*z**2 + 27*z**2 = 0.
-273, -2/7
Let d(t) be the second derivative of 0*t**3 - 27/16*t**2 + 0 - 26*t + 1/32*t**4. Let d(l) = 0. Calculate l.
-3, 3
Suppose -9 = v - 6 - 3. Let u(o) be the second derivative of 7/24*o**4 + 1/6*o**2 - 11/36*o**3 + v + 1/36*o**6 - 17/120*o**5 - 43*o. What is i in u(i) = 0?
2/5, 1
Determine x so that 0 + 2/3*x**4 + 4/9*x**2 + 0*x + 1/9*x**5 + x**3 = 0.
-4, -1, 0
Let u(q) = -48*q**2 - 51603*q - 31667880. Let s(x) = 7*x**2 + 7372*x + 4523984. Let v(i) = -27*s(i) - 4*u(i). Factor v(r).
3*(r + 1228)**2
Suppose 2/13*y**4 + 6/13*y - 108/13 + 74/13*y**2 + 2*y**3 = 0. Calculate y.
-9, -3, -2, 1
Let v(l) be the second derivative of l**4/60 + 91*l**3/30 + 9*l**2 - 795*l. Factor v(w).
(w + 1)*(w + 90)/5
Let x(f) = f**3 - 6*f**2 + f - 4. Let l(c) = -4*c**3 + 19*c**2 - 4*c + 17. Let g(m) = 4*l(m) + 14*x(m). Solve g(z) = 0 for z.
-3, -2, 1
Let o = 25/1561 + 421/1561. Factor 2/7*t**3 + o*t**2 - 2/7 - 2/7*t.
2*(t - 1)*(t + 1)**2/7
Let c(n) be the first derivative of -n**8/1680 - n**7/280 - n**6/180 + 10*n**3/3 + 45. Let a(t) be the third derivative of c(t). Suppose a(s) = 0. Calculate s.
-2, -1, 0
Factor 424*k**2 - 1270/3*k + 0 - 2/3*k**3.
-2*k*(k - 635)*(k - 1)/3
Let k = 196 - 193. Suppose -5*g = 2*b - 266, 3*b - 102 = -2*g - 0*g. Solve -g + 54 + 4*v**2 - k*v - 5*v**2 = 0.
-3, 0
Let w(a) be the first derivative of -29*a**4 - 32*a + 40 - 88/3*a**3 + 24*a**5 - 14/3*a**6 + 72*a**2. What is u in w(u) = 0?
-1, 2/7, 1, 2
Let x(w) = w**2 - 16*w + 5. Let u(o) = 2*o**2 - 26*o + 16. Let s be u(13). Let c be x(s). Solve c*i**2 + 1 - 4 - 2 = 0 for i.
-1, 1
Let v(k) = k + k**2 - 12 - 20 + k - 3*k. Let i be v(7). Find w such that 4*w**3 - 5*w**4 + 10*w**4 + i*w**2 - 5*w - 3*w**3 + 1 - w**5 - 11*w**3 = 0.
1
Let c(q) = q**2 - 8*q - 4. Suppose 0 = -2*y + 27 - 9. Let w be c(y). Factor 4*v**2 - 10*v + 1 + w*v**2 - v**2 - 2*v**3 + 3.
-2*(v - 2)*(v - 1)**2
Suppose -484*s = 289*s. Let w be 3/12 + (-1)/(-28). Solve 1/7*c**4 + 0*c**2 + 0 + w*c**3 + s*c = 0.
-2, 0
Suppose -55 = -28*q + 17*q. Factor -5222341*t - 5030*t**5 - 93284*t - 4940*t**5 - 13108*t**5 - 27343*t**q - 4961250*t**2 - 2278125 - 540225*t**4 - 2315250*t**3.
-3*(7*t + 15)**5
Suppose 14 = 5*f + 9. Let v = 1 + f. Factor -2/3*m**3 - 28/9*m**v - 16/9 - 40/9*m.
-2*(m + 2)**2*(3*m + 2)/9
Let k(m) be the first derivative of 16*m**6