1/7*i**4 + 30/7*i**2 + 33 - 8/7*i**3. Suppose r(k) = 0. What is k?
-8, 1
Solve 2*f**3 + 2/9*f**5 + 52/9*f**2 - 16/9*f**4 - 104/9*f + 16/3 = 0 for f.
-2, 1, 2, 6
Let t be 6/(-159) - (-10112)/178080. Let a(h) be the first derivative of -2/21*h**2 + 10/63*h**3 - t*h**5 + 1/63*h**6 + 0*h - 1/14*h**4 - 12. Factor a(y).
2*y*(y - 1)**3*(y + 2)/21
Let n(u) = u**3 + 52*u**2 - 50*u + 161. Let c be (106/6)/(3*8/(-72)). Let s be n(c). Suppose 2/13*j**s + 0 + 4/13*j = 0. What is j?
-2, 0
Let f(i) be the third derivative of -i**5/180 - 143*i**4/72 - 70*i**3/3 + 2319*i**2. Determine h so that f(h) = 0.
-140, -3
Let k(b) be the second derivative of 5*b**4/3 + 2066*b**3/3 - 828*b**2 - 383*b - 3. Factor k(v).
4*(v + 207)*(5*v - 2)
Let b = 322780/273 - 24826/21. Find d such that -2/13 - 10/13*d**4 - 20/13*d**3 - 10/13*d - b*d**5 - 20/13*d**2 = 0.
-1
Let b be ((-3)/(18/(-51)) + -3)/(8 + -7). Factor -4*y**2 - b*y - 3/2 + 2*y**3.
(y - 3)*(2*y + 1)**2/2
Let w be 74 + -1 - 1077808/14787. Factor 38/9*c + 361/9 + w*c**2.
(c + 19)**2/9
Let f(b) be the second derivative of -b**7/273 - 134*b**6/195 - 1373*b**5/26 - 27666*b**4/13 - 47952*b**3 - 606528*b**2 + 177*b - 2. Factor f(x).
-2*(x + 13)**2*(x + 36)**3/13
Suppose -875 + 1008*n - 4*n**4 + 875 + 177*n**2 + 255*n**2 + 20*n**3 = 0. Calculate n.
-6, -3, 0, 14
Let u(c) = -c**2 - 18*c - 2. Let x be u(-18). Let f be 0 + x*(-9)/6. Solve -2*o**4 - 17*o**f + 9*o**3 - 5*o**2 + o**4 + 2*o + 12*o**3 = 0 for o.
0, 1, 2
Let 144/5 - 3/5*z**2 + 141/5*z = 0. What is z?
-1, 48
Suppose 2*u + c - 134 = 7*u, 4*c - 16 = 0. Let x be (-221)/u + 2*-4. Let -1/2*t**2 + x*t + 0 = 0. Calculate t.
0, 1
Suppose 2*l + 5*s = -3*l + 25, 5*l = s + 43. Let c be l + (10 - 9) - (4 - -1). Solve 2/3*f - 4/3*f**5 - 3*f**c + 2/3*f**3 + 3*f**2 + 0 = 0.
-2, -1, -1/4, 0, 1
Let x(u) = 4*u**2 + 8*u - 6. Let q be (4 + 1)*4/10. Let z(l) = 6*l + l**q - 2*l**2 - 6*l. Let v(p) = x(p) + 6*z(p). Factor v(f).
-2*(f - 3)*(f - 1)
Let d = 53 - 48. Suppose 2*n = -3*n - 25, d*p = -2*n + 15. Let -6*q**5 + 40*q - 503*q**3 + q**p - 115*q**2 + 608*q**3 - 25*q**4 = 0. Calculate q.
-8, 0, 1
Suppose 17*r - 18 + 3662*r**5 - 1835*r**5 - 8*r**2 + 16*r - 10*r**3 + 2*r**4 - 1826*r**5 = 0. What is r?
-3, 1, 2
Let s(z) be the second derivative of z**4/3 - 2*z**3/3 - 112*z**2 - 236*z + 4. Suppose s(f) = 0. What is f?
-7, 8
Suppose 0 = -12*r + 64*r - 1352. Factor 0*u**3 - 24 + 0*u + 11*u + 5*u + 4*u**3 + r*u**2 + 2*u**3.
2*(u + 2)*(u + 3)*(3*u - 2)
Let x(v) = -10*v**3 - 65*v**2 - 110*v - 35. Let d(h) = 11*h**3 + 66*h**2 + 111*h + 32. Let o(j) = 5*d(j) + 6*x(j). Solve o(g) = 0 for g.
-10, -1
Let b(u) be the third derivative of -u**7/3780 + u**6/270 - u**5/60 + u**4/27 - 11*u**3/6 - 5*u**2 + 1. Let j(r) be the first derivative of b(r). Factor j(f).
-2*(f - 4)*(f - 1)**2/9
Suppose -13*s + 789 + 238 = 0. Suppose -4*y = 2*f - 3*y - 41, 4*f + y = s. Solve -240*c**2 - f + 41*c**3 - 11 + 4*c**3 - 175*c = 0 for c.
-1/3, 6
Let p(o) be the first derivative of o**6/2 + 96*o**5/5 + 621*o**4/4 + 360*o**3 - 8057. Let p(d) = 0. Calculate d.
-24, -5, -3, 0
Let i(y) be the first derivative of 3*y**5/20 - 23*y**4/16 + 3*y**3 + 6*y**2 - 16*y - 962. Determine b so that i(b) = 0.
-4/3, 1, 4
Let k = -25 + 25. Suppose k = -z + 7. Find w, given that z*w**4 + 504*w**2 + 202*w + 1022*w**4 - 10*w - 48 - 2352*w**3 = 0.
-2/7, 2/7, 2
Let q(h) be the second derivative of h**7/30 + h**6/45 - 14*h**5/15 - 4*h**4/3 + 29*h**3/6 + 50*h. Let f(c) be the second derivative of q(c). Factor f(a).
4*(a - 2)*(a + 2)*(7*a + 2)
Let s be 3/((1 - -4) + -4) + 1. Factor 48*m + s*m**4 - 5*m**2 + 7*m**2 - 28*m**3 + 14*m**2.
4*m*(m - 6)*(m - 2)*(m + 1)
Let i(v) = -v**2. Let x(a) = -11*a**2 - 110*a - 605. Suppose 243*w - 251*w + 8 = 0. Let k(n) = w*x(n) - 6*i(n). Factor k(m).
-5*(m + 11)**2
Let q(d) be the third derivative of -d**6/540 + 29*d**5/270 - 40*d**4/27 - 256*d**3/9 - 46*d**2 + 4*d. Solve q(a) = 0 for a.
-3, 16
Let n(x) = -x**3 - 45*x**2 + 46*x + 10. Let z be n(-46). Suppose -z = 39*c - 88. Determine w, given that 12 - 15/2*w**3 + 30*w - 3*w**c = 0.
-2, -2/5, 2
Let y(g) be the first derivative of -4/5*g**5 + 300 - 18*g**4 + 0*g**2 - 68/3*g**3 + 0*g. Determine j, given that y(j) = 0.
-17, -1, 0
Let g(v) be the third derivative of -11 - 1/300*v**6 + v**2 + 1/150*v**5 + 0*v**3 + 0*v + 1/30*v**4. Determine m so that g(m) = 0.
-1, 0, 2
Let d(g) = 2*g**4 - 8*g**3 - 78*g**2 - 528*g - 750. Let w(o) = 2*o**4 - 5*o**3 - 78*o**2 - 527*o - 751. Let q(a) = -5*d(a) + 6*w(a). Factor q(h).
2*(h - 7)*(h + 3)**2*(h + 6)
Let q(j) = 3*j**2 + 129*j + 1329. Let g = -205 + 208. Let d(i) = -9*i**2 - 386*i - 3985. Let u(h) = g*d(h) + 8*q(h). Factor u(c).
-3*(c + 21)**2
Factor 4/3*r**2 + 6488*r + 7892652.
4*(r + 2433)**2/3
Let m be -9 - (144/(-168)*-7 + 150/(-4)). Solve -27/4*f**4 + 87/4*f**3 + m*f - 129/4*f**2 - 6 + 3/4*f**5 = 0.
1, 2, 4
Solve 904/9 + 2/9*h**2 - 152/3*h = 0.
2, 226
Suppose -60 + 55 = -o. Solve -5*w + 29*w**3 - w**4 - 3 - w**o + 2*w**2 + 2*w**4 + 26*w**3 - 49*w**3 = 0.
-1, 1, 3
Let o = -193481 + 580451/3. Factor 0*u + o*u**2 + 22/3*u**3 + 0.
2*u**2*(11*u + 4)/3
Let r(b) = -15*b + 210. Let f be r(13). Factor -311*k + 3*k**4 - 27*k**3 - f*k**3 - 193*k + 175*k**2 - 9*k**2 + 53*k**2 + 432.
3*(k - 4)**2*(k - 3)**2
Suppose -2*p + 7*p + 909 = 34*p + 851. Factor -9/2*v**p + 3 + 3*v**3 - 9/2*v.
3*(v - 2)*(v + 1)*(2*v - 1)/2
Let r(j) = 5*j**2 + 44*j - 43. Let v be r(1). Let s(a) be the first derivative of -6 + 0*a + 9/8*a**4 + 3/5*a**5 + 0*a**2 - 1/4*a**v + 0*a**3. Factor s(i).
-3*i**3*(i - 3)*(i + 1)/2
Let j be 5071/(-461) - (284/(-10) - 1). What is x in 4/5*x**5 - 8 - 8*x**2 - 32/5*x**3 + j*x + 16/5*x**4 = 0?
-5, -2, 1
Let m be (140/(-49))/((10/(-3))/5). Determine a so that 33/7*a**3 - m*a**2 + 0*a + 0 - 3/7*a**4 = 0.
0, 1, 10
Let l(a) be the third derivative of -a**7/1680 - 13*a**6/720 + 29*a**3/3 + 68*a**2. Let p(r) be the first derivative of l(r). Determine c, given that p(c) = 0.
-13, 0
Suppose 64*l + 19 - 101 = 46. Determine q, given that -8/3*q**3 + 2/3*q + 2/3*q**l + 7/3*q**4 - 1/3 - 2/3*q**5 = 0.
-1/2, 1
Suppose -2318 + 886 = -8*y. What is x in -8 + y*x**2 + 176*x**2 + 12*x - 359*x**2 = 0?
1, 2
Let q = 15801/8 + -110599/56. What is j in 3/7*j + q*j**2 + 2/7 = 0?
-2, -1
Find m such that 2432*m - 12*m**2 - 3572*m - 1143 + 15*m**2 = 0.
-1, 381
Let x = -203 + 221. Solve -45 + 109*r**3 - 5*r + 585*r**2 - 584*r**3 - 60*r**4 - 18*r**4 + x*r**4 = 0 for r.
-9, -1/4, 1/3, 1
Let i(y) = -4*y**2 + 71*y - 10. Let b(f) = -f**2 - 2*f - 2. Let h(q) = 5*b(q) - i(q). Factor h(k).
-k*(k + 81)
Suppose 15 = 3*m + 2*d, m = -0*d - d + 5. Suppose -k + m = -3*i, -5*k - 4*i + 5*i + 25 = 0. Factor 7 - 3 - k*z + 6*z - 20*z**2 + 17*z**2.
-(z + 1)*(3*z - 4)
Let o be (12/210*-4)/(-4*8/80). Suppose 0 + 0*i**2 + 0*i + 2/7*i**4 + 2/7*i**5 - o*i**3 = 0. Calculate i.
-2, 0, 1
Suppose 18*t - 36 = 21*t. Let u be t/(3 + -7) - -13. Factor 5*v**3 + 10*v**2 + 16*v - u*v.
5*v**2*(v + 2)
Let l(r) be the first derivative of 3*r**4/28 - 12*r**3/7 + 87*r**2/14 - 54*r/7 + 958. Solve l(c) = 0.
1, 2, 9
Let k(y) = 16*y + 135. Let w be k(4). Factor -52 - 540*f + w - 60*f**3 + 270*f**2 + 258 + 5*f**4.
5*(f - 3)**4
Let q(t) be the first derivative of -2/45*t**5 - 4324/9*t**3 + 207646/9*t + 70/9*t**4 - 17 + 97196/9*t**2. Factor q(l).
-2*(l - 47)**3*(l + 1)/9
Let b(o) = o**2 + o. Let g(i) = -3*i**2 + i + 1. Let d(s) = -2*b(s) - g(s). Let t be d(4). Factor -2*u - 3*u**3 + 4*u**t - u - 14 + 16.
(u - 1)**2*(u + 2)
Let l(d) = -150*d**2 - 2*d - 6. Let m(x) = 152*x**2 + x + 4. Let z(b) = 2*l(b) + 3*m(b). Factor z(p).
p*(156*p - 1)
Let j(d) = d**2 + 53*d + 347. Let x be j(-66). Let o = 3619/3 - x. Factor -10/9*p - o - 2/9*p**2.
-2*(p + 2)*(p + 3)/9
Let b = -56 + 54. Let n be (140/(-22))/b + 30/(-165). Solve -l**4 - 6*l**3 - 4 + 31*l**5 - 2*l**n + 8*l**2 + 4*l - 3*l**4 - 27*l**5 = 0.
-1, 1
Let t(j) be the third derivative of -j**5/270 + 179*j**4/54 - 32041*j**3/27 - 7*j**2 - 54*j. Find w such that t(w) = 0.
179
Factor 0 - 169/5*g**4 + 1056/5*g**2 - 252/5*g - 1027/5*g**3.
-g*(g + 7)*(13*g - 6)**2/5
Let n(g) be the first derivative of 3*g**5/20 - 1311*g**4/16 + 47523*g**3/4 + 143883*g**2/8 - 2413. Factor n(m).
3*m*(m - 219)**2*(m + 1)/4
Factor -1225/4*i + 613/2 - 1/4*i**2.
-(i - 1)*(i + 1226)/4
Let g(p) = -