0 - 1/5*k**5 - 3/5*k**4 + 31/5*k**3 - 54*k = 0. Calculate k.
-5, 1, 2, 4
What is h in 194*h**3 - 14*h**5 - 11*h**5 + 96*h + 400*h**2 + 32*h**5 - 103*h**4 + 0*h**5 = 0?
-1, -2/7, 0, 4, 12
Let i(u) be the first derivative of -13*u**6/9 - 43*u**5/3 - 631*u**4/12 - 799*u**3/9 - 149*u**2/2 - 30*u + 2826. Find z such that i(z) = 0.
-3, -1, -10/13, -1/2
Let y(h) = -3210*h + 3189. Let a(f) = f**2 + 3212*f - 3185. Let w(s) = -3*a(s) - 4*y(s). Let w(j) = 0. Calculate j.
1, 1067
Let u be 14 + 12 - 34 - (-274)/32. Let k(c) be the first derivative of -14 - 11/12*c**3 + u*c**4 + 0*c + 1/4*c**2. Factor k(z).
z*(z - 1)*(9*z - 2)/4
Let l(u) be the first derivative of 22/3*u**3 + 133 + 0*u - 6*u**2 + 2/5*u**5 - 3*u**4. Find m, given that l(m) = 0.
0, 1, 2, 3
Let b = 82558 - 165115/2. Factor b*y**2 + 0 + 5*y**3 + 0*y.
y**2*(10*y + 1)/2
Determine s, given that -10/3*s**2 + 20 - 2/3*s**4 + 14/3*s**3 - 62/3*s = 0.
-2, 1, 3, 5
Suppose -704/9*z - 380 - 4/9*z**2 = 0. What is z?
-171, -5
Let z(w) be the first derivative of 225*w**4/14 + 2*w**3/21 - 3793. Determine j, given that z(j) = 0.
-1/225, 0
Let b(n) be the first derivative of 3*n**5/5 + 15*n**4/4 - 6*n**3 + 1373. Factor b(l).
3*l**2*(l - 1)*(l + 6)
Let j(x) be the third derivative of -x**6/60 + 19*x**5/60 + 11*x**4/24 - 5*x**3/3 + 51*x**2. Let g be j(10). Determine u so that -6/7*u - 2/7*u**2 + g = 0.
-3, 0
Let f = 163 - 127. Let h(r) = r**3 - r**2 - r - 1. Let x(d) = -20*d**3 + 10*d**2 + 16*d + 30. Let v(w) = f*h(w) + 2*x(w). Factor v(t).
-4*(t - 1)*(t + 2)*(t + 3)
Let o(w) be the first derivative of 0*w - 34 - 2/3*w**2 + 26/9*w**3 - 11/6*w**4. Factor o(z).
-2*z*(z - 1)*(11*z - 2)/3
Suppose -5*o = -743 + 263. Let g(c) = 2*c**2 - 30*c + 64. Let t be g(14). Suppose -44*m**2 - t - 16*m**2 - 4*m**2 + o*m = 0. Calculate m.
3/4
Let s be ((-174)/(-96) - 1)*-2. Let p = s - -17/8. Determine j, given that 0*j**3 - p*j**4 + 1/4*j + 1/2*j**2 - 1/4*j**5 + 0 = 0.
-1, 0, 1
Let z = -4739245 + 4819812581/1017. Let y = 4/113 + z. Solve -2/9*u**2 - 2/3*u - y = 0.
-2, -1
Suppose 4*d - 3*d - 2 = 0. Let t(f) = -6*f - 4. Let s(v) = 35740 + 35734 - 71474 + v - v**2. Let q(w) = d*s(w) + 2*t(w). Determine i so that q(i) = 0.
-4, -1
Let w be (2 - (-4 + 5))*(2 + -2). Let y be (-3)/18*(w + 12/(-21)). Determine b, given that 2/3 + 4/7*b - y*b**2 = 0.
-1, 7
Suppose -8*u - 6*u - 29 + 71 = 0. Let v(a) be the first derivative of 4/3*a**u + 0*a - a**4 + 0*a**2 - 6. Factor v(i).
-4*i**2*(i - 1)
Let d = -141 - -143. Factor 4 - d*z - 19*z**2 + 8*z**2 + 9*z**2.
-2*(z - 1)*(z + 2)
Suppose -5*o - 3*v - 1341 = 0, 3*o = -0*o + 4*v - 822. Let i be 8/18 + 12/o*5. Let i*f**2 + 0 - 2/3*f = 0. Calculate f.
0, 3
Let h(d) be the second derivative of -3*d**5/40 + 13*d**4/96 - d**3/48 + 4*d + 7. Solve h(i) = 0 for i.
0, 1/12, 1
Let x(j) = 25*j**4 - 1145*j**3 + 5280*j**2 - 4160*j + 120. Let f(s) = -2*s**4 + 88*s**3 - 406*s**2 + 320*s - 9. Let r(t) = -40*f(t) - 3*x(t). Factor r(i).
5*i*(i - 8)**2*(i - 1)
Let h(j) be the second derivative of j**7/14 - 207*j**6/5 - 2499*j**5/10 - 626*j**4 - 1671*j**3/2 - 627*j**2 + 3672*j. Solve h(u) = 0.
-1, 418
Let v(t) be the first derivative of -165 + 6/11*t**3 - 32/11*t - 1/22*t**4 - 6/11*t**2. Factor v(k).
-2*(k - 8)*(k - 2)*(k + 1)/11
Let m(g) be the second derivative of 2*g**4/3 - 27*g**3 + 95*g**2 + 819*g. Suppose m(z) = 0. Calculate z.
5/4, 19
Let x(n) = -n**2 - 322*n + 2210. Let y(h) = 2*h**2 + 804*h - 5528. Let o(w) = -12*x(w) - 5*y(w). Solve o(z) = 0 for z.
8, 70
Factor -16*m + 22*m**5 - 14*m**2 - 18*m**5 + 117*m**3 + 11*m**4 - 5 - 113*m**3.
(m + 1)**4*(4*m - 5)
Let f = 5812 + -5810. Let t(s) be the first derivative of 4/27*s**3 + 0*s**5 - 18 - 1/6*s**4 + 1/27*s**6 + 0*s**f + 0*s. Factor t(q).
2*q**2*(q - 1)**2*(q + 2)/9
Let m be (-18)/(-24) - 274/(-8). Let o = 78 - m. What is x in -4*x**4 - o*x - 15*x**3 - 72*x**2 - 13*x**3 + 7*x - 44*x - 32 = 0?
-2, -1
Let z(k) = -2*k**3 - k**2 - k. Let p = -315 - -314. Let c be z(p). Factor 5/9*f - 4/9*f**c - 2/9 + 1/9*f**3.
(f - 2)*(f - 1)**2/9
Let w be 10 - (11 + -14) - 9. Let k(a) be the third derivative of 2/3*a**3 + 0 + 7/36*a**w + 4*a**2 - 1/30*a**5 + 0*a. Factor k(c).
-2*(c - 3)*(3*c + 2)/3
Let x(g) = -135*g**3 - 3393*g**2 - 3674*g - 432. Let d(w) = -45*w**3 - 1131*w**2 - 1224*w - 144. Let q(t) = 8*d(t) - 3*x(t). Solve q(c) = 0.
-24, -1, -2/15
Let h(d) be the second derivative of 25*d + 0*d**4 - 1/42*d**7 + 0*d**2 - 1/10*d**5 + 2 + 1/10*d**6 + 0*d**3. Determine b, given that h(b) = 0.
0, 1, 2
Let y = -4691 + 4693. Let s(h) be the first derivative of -1/4*h**3 + 3/2*h + 3/8*h**y + 2. Factor s(n).
-3*(n - 2)*(n + 1)/4
Let k(c) = -2 - 4*c**2 - 3*c + 4*c**2 + 3 + 4*c + 4*c**2. Let b(m) = -7*m**2 + 9*m - 2. Let n(a) = b(a) + 2*k(a). Let n(i) = 0. What is i?
-11, 0
Let g(i) be the second derivative of -i**7/105 - i**6/75 + 7*i**5/50 + 13*i**4/30 + 2*i**3/5 + 12*i + 8. Determine x so that g(x) = 0.
-2, -1, 0, 3
Let j be 8/(-44) + 7076/2013. Factor -2/3*u**2 - j*u - 8/3.
-2*(u + 1)*(u + 4)/3
Determine s, given that -1/4*s**2 + 10 - 3/4*s = 0.
-8, 5
Factor -150/7*g + 18/7*g**3 - 4 - 104/7*g**2.
2*(g - 7)*(g + 1)*(9*g + 2)/7
Let s(l) be the third derivative of l**6/8 - 29*l**5/6 - 215*l**4/6 - 220*l**3/3 + 6750*l**2. Factor s(g).
5*(g - 22)*(g + 2)*(3*g + 2)
Determine u so that 408*u - 26*u**2 - 13*u**2 + 60*u**2 - 404 - 12*u**2 - 13*u**2 = 0.
1, 101
Let i be (5 + (-428)/12)/(10/(-75)). Factor 64 + 175*m - i - 5*m**3 - 80*m**2 + 76.
-5*(m - 1)**2*(m + 18)
Let d(k) = 15*k - 532. Let v be d(54). Let g = 280 - v. What is j in -11/2*j**3 - 15/2*j**4 - 4 - g*j + 19*j**2 = 0?
-2, -2/5, 2/3, 1
Let r(b) be the second derivative of -b**4/12 - 29*b**3/6 + 15*b**2 + 6*b - 8. Factor r(s).
-(s - 1)*(s + 30)
Let m(t) be the first derivative of 3*t**4/16 + 55*t**3/8 + 117*t**2/8 + 354. Factor m(i).
3*i*(i + 26)*(2*i + 3)/8
Let j(n) be the third derivative of -n**8/3192 - 4*n**7/1995 + 37*n**6/1140 - 34*n**5/285 + 3*n**4/19 - 9*n**2 + 8. Find q such that j(q) = 0.
-9, 0, 1, 2
Let a(m) = 4*m**2 + 18*m + 32. Let h be a(-10). Factor -390 - h + 46*z - z**2 + 113.
-(z - 23)**2
Let q(s) = -32*s - 153. Let u be q(-6). Suppose -u*p = 23 - 23. Factor -32/5*y + 0*y**2 - 2/5*y**5 + 0*y**4 + 16/5*y**3 + p.
-2*y*(y - 2)**2*(y + 2)**2/5
Let f(x) = x**3 + 31*x**4 + 11*x - 68*x**4 + 12*x**5 + x**3 + 34*x**4. Let m(r) = r**5 + r. Let d(c) = -4*f(c) + 44*m(c). Solve d(g) = 0.
0, 1, 2
Suppose 21*o = 9*o + 36. Suppose -3*y = y - g + o, 5*y + 12 = 4*g. Factor -2/19*j - 2/19*j**2 + y.
-2*j*(j + 1)/19
Factor -59 + 1/11*t**2 + 48/11*t.
(t - 11)*(t + 59)/11
Let z = 39 - 37. Let y(t) = -t**3 + 2*t**2 + 5*t - 8. Let g be y(z). Determine q, given that q**4 + g*q**3 - 11*q**4 + 2*q**4 + 2*q**5 + 12*q**4 = 0.
-1, 0
Factor -970*t**2 + 2/3*t**4 - 2914/3*t - 324 - 322*t**3.
2*(t - 486)*(t + 1)**3/3
Let c(q) = -q**2 + 17*q + 84. Let w be c(21). Let u = 93 - 457/5. Factor 2/5*r**4 + 8/5*r**2 + w + 0*r - u*r**3.
2*r**2*(r - 2)**2/5
Suppose -5*i - 11 = 3*v, 0 = 5*v - 9*i + 4*i - 35. Factor n**4 - 29*n - 3*n - 36*n**2 - 10 - v*n**4 - 28*n**3 + 12*n**3.
-2*(n + 1)**3*(n + 5)
Let w(d) = -d**3 + 3*d**2 - 22*d + 40. Let l be w(2). Let m = -1870/9 + 208. Factor -m*c + l + 1/9*c**2.
c*(c - 2)/9
Let b(n) = n**3 + 4*n**2 - 16*n - 22. Let p be b(-6). Suppose 4*v - 10 = 6. Solve p*c**3 + 3*c**2 + c**2 + 2*c**4 - 8*c**3 + 0*c**v = 0 for c.
0, 1, 2
Let t(u) be the second derivative of -2*u**7/147 + 3*u**6/5 - 87*u**5/70 - 46*u**4/21 + 20*u**3/7 - 3474*u. Find m such that t(m) = 0.
-1, 0, 1/2, 2, 30
Let b(w) = -71*w**2 - 2515*w + 2508. Let o(v) = 11*v**2 + 419*v - 418. Let l(y) = -2*b(y) - 13*o(y). Factor l(x).
-(x - 1)*(x + 418)
Suppose 3*x = -30*p + 32*p - 137, -3*p + 228 = -5*x. Let l be (20/(-125))/(27/x). Factor l - 34/15*z - 26/15*z**3 + 56/15*z**2.
-2*(z - 1)**2*(13*z - 2)/15
Let c(i) be the third derivative of 0*i**3 + 1/8*i**4 - 1/24*i**5 + 0 + 56*i + i**2 + 1/240*i**6. Find k such that c(k) = 0.
0, 2, 3
Let r be 15652/(-3914) + 4 + -5 - -5. Let k = 15666/9785 - r. Determine q so that -2*q**2 - 2/5*q + 0 - k*q**3 = 0.
-1, -1/4, 0
Let f(a) be the first derivative of -a**4/6 - 14*a**3 - 441*a**2 + 23*a - 3. Let z(w) be the first derivative of f(w). Determine r, given that z(r) = 0.
-21
Let m(d) be the second derivative of -10/13*d**2 + 2 + 