hat 52 + 10*y**2 - 52 + 5*y + 5*y**n = 0.
-1, 0
Suppose -560 = 116*o - 109*o. Let y = o + 84. Let 8/5*n**2 - 8/5*n**y + 2/5*n - 2/5*n**3 + 0 = 0. Calculate n.
-1, -1/4, 0, 1
Suppose 327*d**2 - 324 + 99*d**3 + 399*d - 498*d + 2008*d**4 - 2011*d**4 = 0. Calculate d.
-3, -1, 1, 36
Let v = -387 + 387. Let j(d) be the second derivative of v - 1/8*d**4 + 9*d + 1/2*d**3 + 0*d**2. Factor j(g).
-3*g*(g - 2)/2
Suppose 4*h = -3*t + 16, 2*h - 4 = h - t. Factor -8*m**3 + 8*m**2 + 4*m + 26*m**4 + 26*m**4 + 17*m**4 - 4 - 73*m**h + 4*m**5.
4*(m - 1)**3*(m + 1)**2
Let n(m) be the first derivative of 7 + 686/15*m + 49/5*m**2 + 1/30*m**4 + 14/15*m**3. Determine v, given that n(v) = 0.
-7
Suppose 3*b + f + 14 = 6*b, -5*b + 5*f = -50. Solve -3/4*n**4 - 9/2*n**3 - 9/2*n + 0 - 33/4*n**b = 0 for n.
-3, -2, -1, 0
Let s(x) be the third derivative of -11*x**6/360 + 29*x**5/120 + x**4/2 - 9*x**3/2 - 106*x**2. Let o(c) be the first derivative of s(c). Factor o(d).
-(d - 3)*(11*d + 4)
Let t(n) be the third derivative of 0*n + 13*n**2 + 7/300*n**5 - 1/60*n**4 - 4*n**3 + 0 + 2/225*n**6. Let b(c) be the first derivative of t(c). Factor b(a).
2*(a + 1)*(8*a - 1)/5
Let n be (12/(-21))/(4/(-14)). Suppose -2*w = -n*w - 2*w. Suppose w*c**2 - 3*c**3 + c**4 - 3*c**2 + 0*c**3 + 5*c**2 = 0. Calculate c.
0, 1, 2
Let i(l) = 8*l**3 - 50*l**2 - 249*l - 80. Let j be -1 + 6 + -11 + 0. Let x(n) = -3*n**3 + 25*n**2 + 124*n + 40. Let s(b) = j*i(b) - 11*x(b). Factor s(d).
-5*(d - 4)*(d + 2)*(3*d + 1)
Let a = -59023/150 + 9908/25. Let -2/3 - 2/3*g**2 + a*g = 0. What is g?
1/4, 4
Solve -409/2*s**2 + 13/2*s**4 - 1/2*s**5 - 660*s - 450 + 25/2*s**3 = 0 for s.
-3, -1, 10
Let f = 10464 - 10458. Let b(s) be the second derivative of 1/3*s**3 - 1/10*s**5 - 1/30*s**f + 1/2*s**2 + 0 - 18*s + 0*s**4. Find x, given that b(x) = 0.
-1, 1
Let i(x) be the second derivative of x**6/165 + 346*x**5/11 + 748225*x**4/11 + 2588858500*x**3/33 + 559840650625*x**2/11 - 5902*x + 2. Factor i(w).
2*(w + 865)**4/11
Let f = -398784 + 1595137/4. What is z in 7/4*z**3 + 8 - 3/2*z**2 - f*z**4 - 8*z = 0?
-2, 1, 4
Factor -44/7*x - 2/7*x**3 + 0 - 26/7*x**2.
-2*x*(x + 2)*(x + 11)/7
Factor 14612416*s + 7322424*s**2 + 10816*s**3 + 554208*s**4 + 3377161 - 554204*s**4 + 3923643.
4*(s + 1)**2*(s + 1351)**2
Suppose -11*y + 21 = -1. Solve y*m**4 - 24*m + 27*m**3 + 14*m**2 - 41*m**3 + 18*m**2 = 0 for m.
0, 2, 3
Let y(d) = 15*d**4 - d**3 - d - 2. Let j(m) = -17*m**4 - 365*m**3 + 1864*m**2 - 2999*m + 1506. Let r(u) = j(u) + y(u). Find o such that r(o) = 0.
-188, 1, 2
Let x(q) be the first derivative of -8*q**6/9 + 92*q**5/15 - 23*q**4/6 - 82*q**3/9 + 31*q**2/3 - 10*q/3 - 1904. Find i such that x(i) = 0.
-1, 1/4, 1/2, 1, 5
Let m(r) be the third derivative of -2*r**7/105 + 71*r**6/30 - 281*r**5/3 + 1507*r**4/2 + 10164*r**3 - 25*r**2 - 29. Suppose m(n) = 0. What is n?
-2, 7, 33
Let x(w) be the second derivative of -w**7/56 - 31*w**6/40 - 849*w**5/80 - 673*w**4/16 + 71*w**3/2 + 264*w**2 - w + 213. Solve x(c) = 0.
-16, -11, -4, -1, 1
Let q be 14/(-4)*328/(-574). Suppose -5*l + q*c = -6 - 14, l + c = 4. Factor -8/9*v**2 + 2/9*v**5 - 10/9*v**l + 0 + 0*v + 16/9*v**3.
2*v**2*(v - 2)**2*(v - 1)/9
What is q in 0 + 2/3*q**3 + 4/3*q + 1/3*q**4 - 7/3*q**2 = 0?
-4, 0, 1
Let q(l) = 10*l - 218*l - 1952 + 179*l**2 - 177*l**2. Let w(n) = -n**2 + 69*n + 651. Let z(t) = 3*q(t) + 8*w(t). Factor z(a).
-2*(a + 18)**2
Let n(s) = -10 + 9079*s**3 - s**4 - 9079*s**3 + 9 - s**2 + s. Let o(g) = -8*g**4 - 32*g**3 - 90*g**2 - 74*g - 32. Let m(a) = -6*n(a) + o(a). Factor m(x).
-2*(x + 1)**3*(x + 13)
Let u = 116/10579 - -168684/52895. Determine y so that u*y**5 + 0 - 183/5*y**3 - 104/5*y**4 - 71/5*y**2 - 8/5*y = 0.
-1, -1/4, 0, 8
Let x(m) be the second derivative of -m**9/5040 + m**7/280 - m**6/120 + m**4/12 + 10*m**3/3 + m + 4. Let o(h) be the third derivative of x(h). Factor o(k).
-3*k*(k - 1)**2*(k + 2)
Let j(h) be the second derivative of h**4/60 - 35*h**3/6 - 88*h**2/5 + 1757*h. Factor j(q).
(q - 176)*(q + 1)/5
Let s(a) be the first derivative of a**5/30 - 7*a**4/12 + 56*a**2 - 45. Let t(h) be the second derivative of s(h). Factor t(r).
2*r*(r - 7)
Let n(b) be the second derivative of 1/70*b**5 + 91*b + 5/7*b**3 + 1/6*b**4 + 0 + 9/7*b**2. Factor n(j).
2*(j + 1)*(j + 3)**2/7
Suppose -682/3 + 2/3*g**2 + 680/3*g = 0. Calculate g.
-341, 1
Let m = -2120 - -2120. Let r(j) be the third derivative of 0*j**3 + 1/16*j**4 - 26*j**2 + 0*j + 1/60*j**6 + 13/120*j**5 + m. Factor r(q).
q*(q + 3)*(4*q + 1)/2
Solve -13*b**3 + 240 + 13*b**3 - 7*b**4 + 0*b**4 + 140*b**2 + 380*b - 5*b**3 + 2*b**4 = 0 for b.
-4, -2, -1, 6
Let o(p) be the second derivative of -8 + 13/2*p**3 - 1/2*p**6 - 21/10*p**5 - 2*p + 1/14*p**7 - 1/2*p**4 + 21/2*p**2. Factor o(k).
3*(k - 7)*(k - 1)*(k + 1)**3
Let v(m) be the second derivative of m**7/14 + 11*m**6/5 + 21*m**5 + 50*m**4 + 2036*m. Find z such that v(z) = 0.
-10, -2, 0
Let r be 6075/195 - (-3 - -34). Factor -2/13*a**3 + r*a + 0 + 0*a**2.
-2*a*(a - 1)*(a + 1)/13
Let u(p) be the third derivative of -24*p**2 - 1/105*p**5 - 2/7*p**4 + 0*p + 3 + 26/21*p**3. Factor u(h).
-4*(h - 1)*(h + 13)/7
Suppose 4*f - p + 16 = 0, -f - p + 19 = -6*f. Let k be (1 + f)/((-180)/150). Factor k*t**4 + 5/3*t**3 - 5/3*t**2 + 0 - 5/3*t.
5*t*(t - 1)*(t + 1)**2/3
Suppose 0 = -4*w - 28 - 28. Let a be ((-2)/7)/(w/98). Suppose 5*g**2 + g**2 - g - 12*g**a = 0. What is g?
-1/6, 0
Suppose -12*j + 116 = -28. Solve -12*v**3 - 38*v**2 + 62*v**2 - 40*v**2 + 18 + j*v - 2*v**4 = 0.
-3, -1, 1
Suppose 8*c - 1 - 28 = -5. Let p(k) be the third derivative of 1/36*k**4 - 12*k**2 - 1/180*k**6 + 2/45*k**5 + 0 - 4/9*k**c + 0*k. Factor p(v).
-2*(v - 4)*(v - 1)*(v + 1)/3
Let q(f) = -2*f**2 + 12*f - 20. Let y be q(6). Let o be (y/175)/(4/(-28)). Factor 4/5 + 2/5*s**3 - 2/5*s - o*s**2.
2*(s - 2)*(s - 1)*(s + 1)/5
Let n(m) be the first derivative of m**6/21 - 2*m**5/35 - 5*m**4/7 + 20*m**3/21 + 9*m**2/7 - 18*m/7 + 6659. Solve n(v) = 0 for v.
-3, -1, 1, 3
Let l(h) be the third derivative of -h**7/840 - h**6/40 - 9*h**5/40 + 3*h**4/8 - 3*h**2 + 4. Let q(o) be the second derivative of l(o). Factor q(v).
-3*(v + 3)**2
Let s(b) = b**2 - 8*b - 175. Let z be s(-10). Factor -13*r - 24 - r**2 + 0*r**2 + 33*r + z*r**2.
4*(r - 1)*(r + 6)
Factor -8/5*o**2 + 0 + 0*o + 12/5*o**3.
4*o**2*(3*o - 2)/5
Let z(v) be the first derivative of 11*v**6/10 + 15*v**5/4 + 3*v**4/2 + 277*v - 270. Let w(p) be the first derivative of z(p). Factor w(x).
3*x**2*(x + 2)*(11*x + 3)
Let c(y) = 8*y**2 + 4*y. Let i(u) = -43*u**2 + 17308*u - 25021632. Let f(x) = 5*c(x) + i(x). Factor f(d).
-3*(d - 2888)**2
Let n(k) be the second derivative of -k**5/5 + 319*k**4/3 + 640*k**3/3 - 2*k + 493. Factor n(m).
-4*m*(m - 320)*(m + 1)
Let g(v) = -2*v**2 + v + 3. Let u = 21 + -12. Let w be ((-10)/(-4))/(u/18). Let m(t) = t**2 - 2*t - 3. Let o(f) = w*m(f) + 4*g(f). Factor o(d).
-3*(d + 1)**2
Suppose -4*l - 20 = 0, -5*l - 3010 = -5*q - 4*l. Let w = q - 4204/7. Determine h, given that 3/7*h**3 + 0 + 0*h**2 - w*h = 0.
-1, 0, 1
Let x(h) = 12*h - 2. Let c(f) = -3*f**2 + 330*f - 1691. Let z(i) = c(i) + 2*x(i). Let z(v) = 0. Calculate v.
5, 113
Let f(d) be the third derivative of -d**5/60 + 7*d**4/6 - 30*d**3 + 386*d**2 - 2. Solve f(l) = 0 for l.
10, 18
Let j be 1134/162*((-23)/7 + 2) - 183/(-19). Suppose -2/19*z**4 - 14/19*z**2 + j*z**3 + 16/19 - 12/19*z = 0. Calculate z.
-1, 1, 2, 4
Let k(a) be the third derivative of a**6/120 + 41*a**5/15 - a**4/24 - 82*a**3/3 - 39*a**2 - 1. Solve k(j) = 0.
-164, -1, 1
Let r(t) = -10*t**5 + 28*t**4 + 302*t**3 + 332*t**2 + 88*t. Let b(g) = -g**5 + 4*g**3 + 2*g. Let x(w) = -4*b(w) + r(w). Find l, given that x(l) = 0.
-4, -1, -1/3, 0, 10
Let v(l) be the second derivative of -l**7/630 + 11*l**5/180 - l**4/4 + 4*l**3/9 + 281*l**2/2 + 17*l - 2. Let t(k) be the first derivative of v(k). Factor t(n).
-(n - 2)*(n - 1)**2*(n + 4)/3
Let x(h) be the third derivative of h**7/945 + 11*h**6/540 + 37*h**5/270 + 5*h**4/12 + 2*h**3/3 + 92*h**2. Let x(o) = 0. Calculate o.
-6, -3, -1
Let w(s) be the first derivative of -4*s**3 - 7706*s**2 - 5136*s - 1819. Determine n so that w(n) = 0.
-1284, -1/3
Factor -10560 + 4135*d + 3334*d - 3*d**3 - 5021*d - 117*d**2.
-3*(d - 8)**2*(d + 55)
What is p in -52/3*p**4 + 0 - 2/3*p**3 + 0*p**2 + 0*p = 0?
-1/26, 0
Fac