*y**5 - 756/5 + 737/5*y**4 + 1361/5*y**3 - 921*y**2 + 3384/5*y = 0.
-3, 6/11, 1, 7
Determine x so that 0 + 12*x**2 + 15/2*x**3 - 18*x - 3/2*x**4 = 0.
-2, 0, 1, 6
Let g be ((-40)/(-90))/((-28 + 39)*(-2)/(-22)). Factor g - 2/3*s + 2/9*s**2.
2*(s - 2)*(s - 1)/9
Let z = 74 + -70. Suppose -z*q + 13 = -15. Factor q + 2*u**2 + 15 - 2*u - 14 - 6*u.
2*(u - 2)**2
Factor 508/11*z - 2/11*z**2 - 1008/11.
-2*(z - 252)*(z - 2)/11
Let i(c) = -84*c**4 + 65*c**3 - 28*c**2 - 25*c + 9. Let b(j) = -92*j**4 + 66*j**3 - 28*j**2 - 26*j + 10. Let m(o) = -9*b(o) + 10*i(o). Let m(k) = 0. What is k?
-1/3, 0, 1, 4
Let i(h) = h**3 + 20*h**2 + 37*h + 18. Let k be i(-1). Factor 9/2*c - 3/2*c**2 + 3/2*c**4 - 9/2*c**3 + k.
3*c*(c - 3)*(c - 1)*(c + 1)/2
Let r(k) be the third derivative of -1/60*k**4 + 1/1050*k**7 + 0 + 122*k**2 - 1/30*k**3 + 1/300*k**6 + 0*k**5 + 0*k. Find c, given that r(c) = 0.
-1, 1
Let m(d) = d**2 + d. Let u(t) = 2*t**3 - 18*t - 24. Let z(f) = -2*m(f) - u(f). Factor z(h).
-2*(h - 3)*(h + 2)**2
Find o such that 226 - 5*o**2 + 278 - 226 + 157 - 130*o + 165 = 0.
-30, 4
Let d(l) be the second derivative of l**7/10 + 227*l**6/50 + 3147*l**5/50 + 2109*l**4/10 + 603*l**3/2 + 405*l**2/2 - 12758*l. Determine t so that d(t) = 0.
-15, -1, -3/7
Find s such that 360/7 + 762/7*s - 188/7*s**4 - 584/7*s**3 - 18/7*s**5 - 332/7*s**2 = 0.
-5, -3, -4/9, 1
Let v(h) be the second derivative of 1 - 118/3*h**4 - 2/15*h**6 - 338*h**2 + 208*h**3 - 24/5*h**5 - 45*h. Let v(w) = 0. What is w?
-13, 1
Let p = -739 + 741. Suppose 2*z - 3*v = -48 + 59, -2*z + 10 = -p*v. Suppose 0 - 1/4*s + 3/4*s**2 + 1/4*s**z - 3/4*s**3 = 0. Calculate s.
0, 1
Let o(x) be the first derivative of 69 - 4*x + 31/8*x**2 + 1/6*x**3. Factor o(z).
(z + 16)*(2*z - 1)/4
Let z = 1/7885 - -1544/260205. Let x(c) be the second derivative of z*c**6 + 0 - 1/33*c**3 + 1/110*c**5 + 0*c**2 - 1/66*c**4 + 12*c. Factor x(o).
2*o*(o - 1)*(o + 1)**2/11
Suppose -14 + 38 = 4*z. Find h such that -3 + z*h**3 + 80*h - 12 - 17 - 16*h**3 - 50*h**2 + 2*h**5 + 10*h**4 = 0.
-4, 1
Suppose 3*d + 3*d + 30 = 0. Let f be (2/(-1) - (2 + d)) + 2. Suppose -19*w**3 - 67*w**4 + 15*w**2 - f*w + 79*w**4 + 9*w**3 - 14*w**3 = 0. What is w?
0, 1/2, 1
Let m be 1 + -6 - (-2 + -6). Factor 4*g**2 + 2*g**3 + 2*g**m - 5*g**3 - 6*g**2.
-g**2*(g + 2)
Let b(s) be the second derivative of -s**4/60 + 17*s**3/15 - 3*s - 823. Solve b(k) = 0 for k.
0, 34
Let n = -23/1925 - -4/77. Let h(j) be the second derivative of n*j**5 + 2/5*j**4 - 24*j + 6/5*j**3 + 8/5*j**2 + 0. Factor h(f).
4*(f + 1)**2*(f + 4)/5
Let q be (8/3 - 2)*(2 + 1). Factor 4*n**q + 0*n**4 - 19*n**2 - 9*n + 3*n**4 - 3*n**3.
3*n*(n - 3)*(n + 1)**2
Let p(q) = 42*q**3 + 93*q**2 + 57*q + 18. Let l(x) = 44*x**3 + 95*x**2 + 58*x + 17. Suppose -2*s + 47 - 37 = 0. Let c(r) = s*p(r) - 6*l(r). Factor c(h).
-3*(h + 1)*(2*h + 1)*(9*h + 4)
Let w be 15*1/4 + 6/(-8). Suppose -327*t + 780*t - w*t**2 - 1200 - 333*t = 0. Calculate t.
20
Let s(x) = -x**3 + 5*x**2 - 6*x. Let c(v) be the third derivative of v**6/120 - v**5/15 + 5*v**4/24 + 59*v**2. Let b(t) = -6*c(t) - 5*s(t). Factor b(o).
-o**2*(o + 1)
Let l(v) be the second derivative of 3*v**5/70 + v**4/3 - 49*v**3/3 - 234*v**2/7 + 3702*v. Factor l(r).
2*(r - 9)*(r + 13)*(3*r + 2)/7
Let a(m) be the first derivative of -19 + 1/130*m**5 + 4/13*m**2 + 0*m**3 - 1/26*m**4 - 28*m. Let u(p) be the first derivative of a(p). Solve u(r) = 0.
-1, 2
Suppose 6 = 2*y + 4. Let h be -4 + (1156 - (2 - y)). What is l in -196*l**4 - 3922*l**2 - 2114*l**2 + 2960*l + 921*l**3 - 400 + h*l**3 = 0?
2/7, 5
Let b(w) be the first derivative of w**4/4 + 7*w**3/3 - 9*w**2/2 + 3*w - 6. Let m be b(-8). Factor 2*g - m*g + 15*g**2 - 24*g**2 - 3*g**3 + 0*g - 3.
-3*(g + 1)**3
Let p be 287/21 + (7/3 - 2). Suppose -2*b - b - 2*y = -p, -4*y + 18 = b. Factor 172*z**b + 2*z**3 - z**3 - 176*z**2.
z**2*(z - 4)
Let r(a) be the third derivative of a**6/30 + 12*a**5/5 - 38*a**4/3 - a**2 - 608*a - 3. Let r(v) = 0. What is v?
-38, 0, 2
Let o = -71 - -129. Let f = o + -43. Factor -25 - 41*g**3 - 8*g**4 + 65*g**2 + 6*g**3 + f*g + 13*g**4 - 65.
5*(g - 3)**2*(g - 2)*(g + 1)
Let d(h) be the first derivative of 1/10*h**4 - 30 + 2/5*h**2 - 2/5*h**3 + 0*h. Factor d(t).
2*t*(t - 2)*(t - 1)/5
Suppose 6 = -3*m + 6*m. Suppose -4*s - 344 = -344. Factor -3/4*a**3 + 0*a + s - 1/2*a**m + 5/4*a**4.
a**2*(a - 1)*(5*a + 2)/4
Let x(n) = -3*n**5 + 26*n**4 - 77*n**3 + 116*n**2 - 82*n + 22. Let t(g) = -g**4 + g**3 - g**2 - g + 1. Let a(z) = -2*t(z) - x(z). Determine w so that a(w) = 0.
1, 2
Let p(c) be the second derivative of -c**4/30 + 326*c**3/15 - 26569*c**2/5 + 1335*c. Factor p(v).
-2*(v - 163)**2/5
Factor 24/13 - 14/13*y**2 + 34/13*y.
-2*(y - 3)*(7*y + 4)/13
Let y(s) be the third derivative of s**8/84 + 106*s**7/105 + 337*s**6/15 - 782*s**5/15 - 225*s**4/2 + 486*s**3 - 464*s**2. Determine r so that y(r) = 0.
-27, -1, 1
Determine n, given that 0 - 526/11*n + 2/11*n**3 - 524/11*n**2 = 0.
-1, 0, 263
Let w(n) = -n**2 + 512*n - 9365. Let l be w(19). Factor 13/3*c**3 + 19/3*c**l + 11/3*c + c**4 + 2/3.
(c + 1)**2*(c + 2)*(3*c + 1)/3
Let i = 93251/41967 - -1/4663. Factor -8/3*p - i - 4/9*p**2.
-4*(p + 1)*(p + 5)/9
Let h be (-21 + 21)*((-8)/6 - 16/(-48)). Factor 1/3 + 0*p + 1/3*p**4 + h*p**3 - 2/3*p**2.
(p - 1)**2*(p + 1)**2/3
Let j(i) be the third derivative of i**5/15 - 830*i**4/3 + 1377800*i**3/3 - 665*i**2 + 6. Solve j(v) = 0 for v.
830
Suppose 2*s - 3*y - 5 = 42, 0 = 4*s - 3*y - 109. Factor -s - 25 + 56 - g**2 - g.
-g*(g + 1)
Let i(j) = 288 + 0*j**2 + 34*j + 325 - 4*j**2 + 3*j**2 + 0*j**2. Let y be i(-13). Factor -2/3*x**4 + 0 + 2/3*x**y + 0*x**3 + 0*x.
-2*x**2*(x - 1)*(x + 1)/3
Let m = 158191/3 + -52730. Determine t so that 2/3 - m*t**2 + 1/3*t = 0.
-1, 2
Let s(m) = -2*m**2 - 17*m - 11. Let o(u) be the third derivative of u**5/20 + 17*u**4/24 + 5*u**3/3 + 90*u**2. Let j(v) = -5*o(v) - 4*s(v). Factor j(a).
-(a + 2)*(7*a + 3)
Let q(v) be the second derivative of v**5/4 - 5*v**4/6 - 5*v**3/6 + 5*v**2 - 874*v. What is i in q(i) = 0?
-1, 1, 2
Let c(h) be the third derivative of -125*h**8/336 - 725*h**7/7 + 13229*h**6/24 - 1359*h**5/2 - 2645*h**4/6 + 1180*h**3 + 4594*h**2 - 2*h. What is a in c(a) = 0?
-177, -2/5, 2/5, 1, 2
Let j(o) = -2*o**2 - o + 1. Let d(t) = -45*t**2 + 490*t - 980. Let z(g) = d(g) - 20*j(g). Solve z(u) = 0.
2, 100
Solve 4*r**3 + 22 - 3 + 22 + 3 - 156*r - 81*r**2 = 0.
-2, 1/4, 22
Factor -9*j**2 + 5 + 8*j - j**2 + 0*j**2 - 4*j + 9*j**2.
-(j - 5)*(j + 1)
Let a = -330715 - -330721. Factor 26*c**2 - 58/3*c**3 + 0 + a*c + 10/3*c**4.
2*c*(c - 3)**2*(5*c + 1)/3
Suppose 391*m + 14 - 1 - 13 = 0. Find g, given that -3/2*g**4 + m*g - 3*g**2 + 0 - 11/2*g**3 = 0.
-3, -2/3, 0
Suppose 955 = 83*h - 705. Suppose -21*m + h*m = -4*u - 20, 36 = 5*m - 4*u. Let 40/3*j**2 - 2*j**m + 0 + 2/3*j**3 + 8*j = 0. What is j?
-2, -2/3, 0, 3
Let s(n) be the third derivative of 0*n**3 + 104*n**2 - 1/36*n**4 + 0*n - 1/945*n**7 + 0 - 1/108*n**6 - 7/270*n**5. Factor s(h).
-2*h*(h + 1)**2*(h + 3)/9
Let m(l) = -l**2 + 17*l - 14. Let t be (-1)/(32 + -35 + (-47)/(-16)). Let d be m(t). Suppose 1/4*s**d + s + 3/4 = 0. What is s?
-3, -1
Let w = 116715 - 116712. Determine x so that -1/7*x**5 - 22/7*x**2 + 11/7 - 1/7*x + 11/7*x**4 + 2/7*x**w = 0.
-1, 1, 11
Let o(g) be the first derivative of 2*g**6/3 + 68*g**5/5 + 99*g**4 + 276*g**3 - 1296*g - 880. Solve o(j) = 0 for j.
-6, -3, 1
Let k be (8/10)/((-69649)/23205 + 3). Let j be (36/28 - 1) + 72/k. Determine t, given that 34/13*t - 8/13 - 16/13*t**4 - 56/13*t**2 + j*t**5 + 44/13*t**3 = 0.
1, 4
Let a be (24/5)/((-2)/(-5)). Let x be (-12)/(-9)*90/a. Solve 12*j**2 + 14*j - 12*j**2 + 8 + 2*j - x*j**2 = 0.
-2/5, 2
Let v(x) be the third derivative of x**6/120 + x**5/60 - 3*x**4/8 - 3*x**3/2 - 1255*x**2 + 2*x. Solve v(h) = 0.
-3, -1, 3
Let d(p) be the first derivative of 285/8*p**4 + 27/5*p**5 - 13 + 27*p + 43*p**3 - 315/4*p**2. Determine v, given that d(v) = 0.
-3, 2/9, 1/2
Let q(z) = -2*z**2 + 27*z - 46. Let w(m) be the first derivative of 2*m**3/3 - 14*m**2 + 48*m - 80. Let y(t) = -6*q(t) - 5*w(t). Factor y(i).
2*(i - 9)*(i - 2)
Let f(q) be the second derivative of 8*q - 2/35*q**5 + 8/7*q**2 + 1/105*q**6 + 4 + 10/21*q**3 - 1/14*q**4. Determine c, given that f(c) = 0.
-1, 2, 4
Suppose 0 = -w + 2*w + 12*w - 0*w. Let c(t) be 