
-1, 0, 2/5, 1
Factor 18/5*d**3 - 2/15*d**5 + 28/15*d**2 + 0*d + 8/5*d**4 + 0.
-2*d**2*(d - 14)*(d + 1)**2/15
Let x be (-7)/(-28)*0/(-2). Let v be ((675/15)/(-9))/((-25)/2). Solve -4/5*f**3 - v*f - f**2 - 1/5*f**4 + x = 0.
-2, -1, 0
Suppose 1696/9*c**2 - 194/3*c - 2128/9*c**3 + 160/9*c**5 + 96*c**4 + 74/9 = 0. What is c?
-37/5, 1/2
Suppose 3*i = 3*y + 27, 10*i - 11*i = 3*y + 7. Let f(r) be the third derivative of 0*r + 0 - 7/8*r**4 + 1/4*r**5 + r**3 + i*r**2. Factor f(s).
3*(s - 1)*(5*s - 2)
Let x(j) be the third derivative of j**7/840 + 139*j**6/240 - 7*j**5/6 - 139*j**4/48 + 93*j**3/8 + 3151*j**2. Find f, given that x(f) = 0.
-279, -1, 1
Let d(j) be the third derivative of j**5/270 - j**4/27 - 55*j**3/9 - 2*j**2 + 25*j. Find b such that d(b) = 0.
-11, 15
Suppose -4*p = 3*z - 5, 7*p + 5*z - 19 = -10. Suppose 0 + 4/3*c**p - 28*c = 0. Calculate c.
0, 21
Suppose q + q - 18 = 0. Let i(s) = s**3 - 9*s**2 - s + 12. Let j be i(q). Factor -h - 81*h**j + 18*h**2 - 2*h - 57*h**2 - 3*h - 69*h**4 - 21*h**5.
-3*h*(h + 1)**3*(7*h + 2)
Find z, given that 21260 - 20790 + 35*z + 190*z - 5*z**2 = 0.
-2, 47
Let r = 2/55585 + 172924927/222340. Let h = -774 + r. Suppose 5/4*x**5 + 0*x + 25/4*x**2 + 0 + h*x**4 - 45/4*x**3 = 0. Calculate x.
-5, 0, 1
Let v = 3475 - 3480. Let i(r) = -r**4 + r**3 - r - 1. Let x(t) = -2*t**4 + 2*t - 3*t**3 + t**4 + 2 + 2*t**4. Let z(p) = v*x(p) - 10*i(p). Factor z(j).
5*j**3*(j + 1)
Let m = 1012 - 2021. Let u = 2021/2 + m. Solve 1/4*v**3 + 0 + 2*v - u*v**2 = 0 for v.
0, 2, 4
Let l(z) be the second derivative of -z**6/480 + 3*z**5/80 - 65*z**3/3 + 61*z. Let v(q) be the second derivative of l(q). Factor v(c).
-3*c*(c - 6)/4
Let x(k) = -6*k**2 + 8852*k + 9759378. Let n(f) = -5*f**2 + 8850*f + 9759376. Let y(d) = 8*n(d) - 7*x(d). Factor y(b).
2*(b + 2209)**2
Factor -1690*x**2 - 865/2*x**3 - 5/2*x**4 + 0*x + 0.
-5*x**2*(x + 4)*(x + 169)/2
Let i = 160685923/16085 - 49949/5. Let n = i + 12874/9651. Factor 0*v + n*v**2 - 4/3*v**4 + 0*v**3 + 0.
-4*v**2*(v - 1)*(v + 1)/3
Solve 3/2*n**5 + 3*n**4 + 0*n - 39/2*n**3 + 15*n**2 + 0 = 0.
-5, 0, 1, 2
Let i(u) be the second derivative of -2*u**7/315 + 17*u**6/180 - 2*u**5/15 + 11*u**4/2 + 5*u. Let y(k) be the third derivative of i(k). Factor y(v).
-4*(v - 4)*(4*v - 1)
Let w(d) = -268*d**2 - 1112*d - 8120. Let p(l) = 40*l**2 + 159*l + 1160. Let g(u) = -20*p(u) - 3*w(u). Factor g(b).
4*(b + 10)*(b + 29)
Let v = 1/12297 - -24587/86079. Factor -6/7*q**2 - v*q**3 + 0 - 4/7*q.
-2*q*(q + 1)*(q + 2)/7
Let x(f) be the first derivative of -f**4/2 - 116*f**3/3 + 375*f**2 - 1152*f - 5517. Solve x(y) = 0 for y.
-64, 3
Factor 100*x + 258*x**3 + 153*x - 255*x**3 + 301*x - 131*x - 426*x**2.
3*x*(x - 141)*(x - 1)
Let x(g) = -g**3 - 71*g**2 - 126*g - 8946. Let o be x(-71). Find m such that -2/9*m**2 - 14/9*m + o = 0.
-7, 0
Let r(h) be the third derivative of h**7/840 + h**6/80 - h**5/4 + 3*h**4/8 - 8*h**3/3 + 6*h**2 - 18*h. Let k(x) be the second derivative of r(x). Factor k(y).
3*(y - 2)*(y + 5)
Let y(u) be the first derivative of u**6/6 - 78*u**5/5 + 38*u**4 + 2*u**3/3 - 153*u**2/2 + 76*u - 3300. Factor y(p).
(p - 76)*(p - 1)**3*(p + 1)
Suppose -7*n = -11*n + 84. Suppose -5*d = -n + 1. Factor 7*m**5 - 4*m**d + m**5 - 27*m**2 + 19*m**4 + 9*m**3 - 5*m**5.
3*m**2*(m - 1)*(m + 3)**2
Let z(a) = -2*a**4 + 17*a**3 + 36*a**2 + 19*a + 3. Let q(h) = -h**4 - h**2 + 3. Let w(i) = -3*q(i) + 3*z(i). Let w(s) = 0. What is s?
-1, 0, 19
Suppose 0 - 156/5*x**2 + 0*x - 58/5*x**3 - 2/5*x**4 = 0. What is x?
-26, -3, 0
Let b(n) be the third derivative of n**6/540 + 1547*n**5/90 + 2393209*n**4/36 + 3702294323*n**3/27 - 3*n**2 - 49*n + 1. Factor b(p).
2*(p + 1547)**3/9
Factor 38416 + 26204*h + 37*h**3 - 9*h**3 - h**4 - 31692*h.
-(h - 14)**3*(h + 14)
Let u(f) be the second derivative of f**5/10 - f**4/3 - f**3/2 + 7*f**2/2 - 11*f. Let d be u(3). Factor -6*c**3 - 4*c**2 - 4*c**3 - 2*c**4 + d*c**3.
-2*c**2*(c - 2)*(c - 1)
Let l(t) be the second derivative of -16*t**5/35 + 344*t**4/3 - 2402*t**3/21 + 300*t**2/7 + 407*t. Factor l(f).
-4*(f - 150)*(4*f - 1)**2/7
Let p(z) be the third derivative of z**6/210 + 17*z**5/15 - 20*z**4/7 - z**2 - 2667. Factor p(s).
4*s*(s - 1)*(s + 120)/7
Let n(u) be the first derivative of u**5/50 - 57*u**4/40 + 227*u**3/10 + 1537*u**2/20 + 399*u/5 - 9205. What is p in n(p) = 0?
-1, 21, 38
Suppose 794*q = 796*q - 4. Let 1/2 - 1/4*i**q + 1/4*i = 0. What is i?
-1, 2
Let d(w) = -w**2 + w - 1. Let x = -3 + 4. Let j(h) = 6*h**3 + 10*h**2 + 14*h - 2. Let i(a) = x*j(a) - 4*d(a). Factor i(s).
2*(s + 1)**2*(3*s + 1)
Let u(m) = -m**2 - 2*m. Let x(f) = 2*f**2 + 97*f + 90. Suppose 36*w + 3 = -r + 37*w, 0 = 5*r - 3*w + 7. Let k(i) = r*x(i) + 5*u(i). Factor k(l).
-3*(l - 30)*(l + 1)
Let d(j) be the first derivative of -4*j**3/21 - 9*j**2/14 + 9*j/7 - 937. What is x in d(x) = 0?
-3, 3/4
Let x be 209 - (-55 - 0/23). Let -3/5*s**2 - 123/5*s**3 + x*s - 240 + 3/5*s**4 + 3/5*s**5 = 0. What is s?
-5, 1, 4
Suppose -6*t = 429 - 609. Suppose -560*u = -550*u - t. Factor 0 + 3/2*s - 1/4*s**4 - 11/4*s**2 + 3/2*s**u.
-s*(s - 3)*(s - 2)*(s - 1)/4
Let i be (-27)/(-4) - 33/44. Let t be (5/i)/(82/(-123)) - -2. Factor 3/8*j - 3/8*j**2 + t.
-3*(j - 2)*(j + 1)/8
Suppose -18/7*s**2 + 1508/7*s + 48 = 0. Calculate s.
-2/9, 84
Factor -80*n - 5/2*n**2 - 280.
-5*(n + 4)*(n + 28)/2
Let t(c) be the first derivative of -3/10*c**5 - 9/8*c**4 - 1/36*c**6 - 3/2*c**3 + 0*c**2 + 15 + 0*c. Find q, given that t(q) = 0.
-3, 0
Let v(w) = -3*w**2 - 12*w + 84. Let r(o) = 8*o**2 + 38*o - 244. Let y(n) = 6*r(n) + 17*v(n). Find z, given that y(z) = 0.
2, 6
Suppose -846*i + 840*i - 144 = 0. Let j be 30/(-8) - (i - -18). Determine o so that 27/4*o**3 - 3/2*o**4 + 0 - j*o**5 + 9*o**2 + 3*o = 0.
-1, -2/3, 0, 2
Let o(l) = 5*l - 1. Let b(u) = -u**3 - 12*u**2 - 21*u - 7. Let m be b(-10). Let a be o(m). Factor 10*j**3 - a*j**3 + 5*j - 4*j**2 + 3*j.
-4*j*(j - 1)*(j + 2)
Let l(y) be the first derivative of 2*y - 3*y**2 - 7/6*y**3 - 37. Factor l(a).
-(a + 2)*(7*a - 2)/2
Suppose 0 = 2*a + 9*j - 6*j - 1, -2*j = 6. Let r be -2 + (-4)/a*(-30)/4. Factor r*g - 25 - 2*g**2 - g + 7*g + g**2.
-(g - 5)**2
Solve -4107/7*u + 219/7*u**3 - 3/7*u**4 - 555*u**2 + 0 = 0 for u.
-1, 0, 37
Let q(p) be the second derivative of -2*p**7/105 + 11*p**6/30 - 19*p**5/15 + 3*p**4/2 - 41*p**2 + 96*p. Let o(y) be the first derivative of q(y). Factor o(k).
-4*k*(k - 9)*(k - 1)**2
Let p(u) = -18*u**2 - 184*u + 180. Let v(l) = 18*l**2 + 188*l - 183. Let a(r) = 3*p(r) + 4*v(r). Factor a(j).
2*(j + 12)*(9*j - 8)
Let u(a) = -4*a + 625 - a - 546. Let v be u(15). Determine k so that 2/5*k**v + 0 + 2/5*k + 6/5*k**2 + 6/5*k**3 = 0.
-1, 0
Let q = 115 + -113. Determine r, given that -1384*r**q + 288 + 28*r**5 + 324*r - 222*r + 426*r - 172*r**4 - 100*r**4 + 956*r**3 = 0.
-2/7, 2, 3
Let d(t) be the second derivative of -5*t**7/42 - 7*t**6/6 - 7*t**5/4 + 115*t**4/12 + 110*t**3/3 + 50*t**2 + 9446*t. Find x, given that d(x) = 0.
-5, -2, -1, 2
Let a(x) be the second derivative of 144*x**2 - 68*x**3 + x + 115/6*x**4 + 3/10*x**6 - 1/84*x**7 - 1 - 129/40*x**5. Factor a(c).
-(c - 4)**3*(c - 3)**2/2
Let z = -316/61 + 199274/38491. Let b = z + 1280/5679. Factor -2/9*v**2 + 0 - b*v.
-2*v*(v + 1)/9
Suppose -1 = -8*g - 1. Suppose g = -4*w + p, 4*w + w = -5*p. Find j such that 1/3*j**3 + 0*j - 1/6*j**4 - 1/6*j**5 + 0 + w*j**2 = 0.
-2, 0, 1
Let q(x) = 12*x**3 + x**2 + 13*x + 8. Let w be q(4). Suppose -w*r**3 + 8*r**2 + 764*r**3 - 173*r**2 + 15*r**4 - 70*r = 0. Calculate r.
-1, -2/3, 0, 7
Let r(w) be the third derivative of w**6/120 + 36*w**5/5 + 15695*w**4/8 + 46225*w**3/3 - 11750*w**2. Let r(i) = 0. Calculate i.
-215, -2
Let a(j) be the first derivative of -16*j - 4/5*j**5 - 60 + 3*j**4 + 20/3*j**3 - 6*j**2. Let a(u) = 0. What is u?
-1, 1, 4
Determine v, given that -1/3*v**3 - 7/3*v + 0 - 8/3*v**2 = 0.
-7, -1, 0
Factor 2442/5*y**2 + 3/5*y**3 + 99876*y + 989016/5.
3*(y + 2)*(y + 406)**2/5
Let v be 13 - 726/(47 + 19). Find p such that -1922/11 - 124/11*p - 2/11*p**v = 0.
-31
Let m(y) = -176*y + 882. Let j be m(5). Let r(u) be the second derivative of 2/5*u**5 + 0 + 2/15*u**6 - 4*u + 0*u**4 - 2*u**j - 4/3*u**3. Factor r(s).
4*(s - 1)*(s + 1)**3
Let y(j) = -j**3 - j. Let i(q) be the third derivative of -q**6/40 - 11*q**5/60 - 7*q**4/6 - 8*q**3/3