v = -d*v. Let 1/5*r**2 + 3/10*r**3 + 0 + x*r + 1/10*r**4 = 0. What is r?
-2, -1, 0
Factor -26/5*k**2 - 748*k + 576/5.
-2*(k + 144)*(13*k - 2)/5
Let k = -30 + 33. Let n be -4 + (-21*2/(-6) - k). Suppose 5/2*r - 5/4*r**2 + n = 0. What is r?
0, 2
Let b(n) = 695*n + 7649. Let t be b(-11). Factor t*a + 1/3*a**2 - 13/3.
(a - 1)*(a + 13)/3
Let v(z) = -10*z + 54. Let s be v(0). Factor -s*o - 4980*o**3 - 81*o - 957*o**2 + 1335*o**3 - 5 - 258*o**2.
-5*(9*o + 1)**3
Factor -79/3*n - 1/3*n**2 - 76.
-(n + 3)*(n + 76)/3
Suppose 17*m - 12*m - 165 = 0. Determine q so that -240*q - 30*q**4 + 54 - 35*q**5 - 150*q**3 - 290*q**2 - 126 + m*q**5 = 0.
-6, -1
Let p = 117573 - 117568. Let -15/2*r**p - 15/2*r**2 - 4*r + 2 + 23/2*r**3 + 11/2*r**4 = 0. What is r?
-1, -2/3, 2/5, 1
Let k(i) be the second derivative of -i**7/21 + 17*i**6/60 - 3*i**5/10 - 7*i**4/12 + 4*i**3/3 - 3*i**2/4 + 19*i - 94. Solve k(w) = 0.
-1, 1/4, 1, 3
Suppose 0 = 24*z - 28970 + 28850. Let a(o) be the second derivative of 0*o**3 + 1/20*o**z + 0*o**2 + 1/6*o**4 + o + 0. Factor a(t).
t**2*(t + 2)
Let b(d) be the first derivative of -11/24*d**3 + 1/48*d**6 + 12 - 3/8*d**2 + 3/40*d**5 - 3/32*d**4 + 0*d. Factor b(c).
c*(c - 2)*(c + 1)**2*(c + 3)/8
Let t = 750 + -746. Let c(g) be the second derivative of 0 + 3*g - 4/9*g**3 - g**2 - 1/18*g**t. Factor c(r).
-2*(r + 1)*(r + 3)/3
Let d = -2/1929 - -1939/9645. Let m be -1 + (-6)/(-1) + (55 - 58). Solve -4/5*l**3 + d*l**4 + 4/5*l - 4/5 + 3/5*l**m = 0 for l.
-1, 1, 2
Let j be (2/(-10) - 1)*5. Let g be (2/(-4))/(3 - 30/12). Let x(y) = y + 1. Let v(c) = -c**2 - 12*c - 11. Let w(i) = g*v(i) + j*x(i). Factor w(d).
(d + 1)*(d + 5)
Let p(f) be the third derivative of 3/40*f**4 + 0 - 1/100*f**5 + 0*f - 168*f**2 + 2/5*f**3. Solve p(j) = 0 for j.
-1, 4
Suppose -7 + 7 = -6*t. Let f(i) be the third derivative of 0*i**3 - 2/105*i**7 + 0 + 1/168*i**8 - 14*i**2 + 0*i**6 + 0*i + t*i**5 + 0*i**4. Factor f(r).
2*r**4*(r - 2)
Let x = -2040 + 2042. Let y(m) be the third derivative of 0*m - 5/24*m**4 - 12*m**x + 0*m**3 + 0 + 1/12*m**5. Suppose y(f) = 0. What is f?
0, 1
Let u(y) be the third derivative of 1/48*y**4 + 0 - 1/240*y**6 + 0*y - 1/240*y**5 + 0*y**3 + 99*y**2 + 1/840*y**7. Let u(p) = 0. Calculate p.
-1, 0, 1, 2
Let g be (-12090)/124*(-360)/2025. What is a in -1352/3 - 1/6*a**2 - g*a = 0?
-52
Suppose 8*v + 18 = f + 3*v, -11 = -f - 2*v. Let q = 27 - f. Factor -36*c**2 + q*c**3 - 2*c**3 + 4*c**4 + 4*c**5 + 0*c**4 + 16*c**4.
4*c**2*(c - 1)*(c + 3)**2
Find f, given that -171*f**4 + 89*f**4 + 2300*f**3 + 64*f**4 - 900 + 1764*f + 4516*f - 7735*f**2 + 73*f**4 = 0.
-45, 2/11, 1, 2
Let p(x) be the second derivative of -x**4/42 - 44*x**3/21 + 45*x**2/7 + 7*x - 3. Factor p(z).
-2*(z - 1)*(z + 45)/7
Let l(d) be the second derivative of -105*d + 1/110*d**5 + 0*d**2 + 0 - 1/11*d**4 + 3/11*d**3. Let l(r) = 0. What is r?
0, 3
Let z(o) = 28 + 38 - 31*o - 4. Let l be z(2). Factor l + 3/4*w**2 - 9/4*w.
3*w*(w - 3)/4
Suppose -21*t = -12*t - 18. Suppose -4*q + 21 = 3*w, -t*w - 5*q + 9 = -4*w. Suppose -2*u + 82*u**w + 2*u**2 - 81*u**3 + 0*u + 3*u = 0. Calculate u.
-1, 0
Let t(c) = 2*c**2 + 23*c - 58. Let u be t(-19). Factor -45*v**4 - u*v**2 - 200*v**3 - 150*v - 40 - 5*v**5 + 12*v**2 + 55*v**3.
-5*(v + 1)**3*(v + 2)*(v + 4)
Suppose 22 - 18 = 2*f. Solve 27*y - 6*y**2 - 66*y**3 - 81 + 63*y**3 + 15*y**f = 0 for y.
-3, 3
Let n = 16492/9 - 1832. Let w(l) be the second derivative of -n*l**3 + 1/10*l**5 + 2/45*l**6 + 0 - 4*l - 2/9*l**4 + 0*l**2 - 1/63*l**7. Factor w(o).
-2*o*(o - 2)**2*(o + 1)**2/3
Suppose 16/3*w**3 - 32/3 - 2*w**2 - 52/3*w + 2/3*w**4 = 0. What is w?
-8, -1, 2
Let k = -384240 + 384242. Factor -1/2*d**4 + 11*d + 4*d**3 - 21/2*d**k - 4.
-(d - 4)*(d - 2)*(d - 1)**2/2
Let m be (-2)/(-4)*(-32)/(7 - 39). Solve 3/2 + m*s**2 - 2*s = 0.
1, 3
Let u(i) = 20*i**5 - 6546*i**4 + 7836*i**3 - 1306*i**2. Let d(z) = z**4 - 4*z**3 + z**2. Let x(k) = -2*d(k) - u(k). Suppose x(y) = 0. What is y?
0, 1/5, 1, 326
Let u(g) be the third derivative of -1/390*g**5 + 0*g**3 + 0 + 60*g**2 + 1/1365*g**7 - 1/156*g**4 + 1/780*g**6 + 0*g. Factor u(q).
2*q*(q - 1)*(q + 1)**2/13
Let j(u) = -u**3 - 12*u**2 + 26*u - 26. Suppose 2*a = -7*a - 126. Let r be j(a). Find g such that 2/5*g**3 - 2/5*g**r + 0*g + 0 = 0.
0, 1
Let c(i) = i**5 - i**3 - i**2 - 3*i - 2. Let o(q) = -16*q**5 - 16*q**4 + 28*q**2 + 52*q + 24. Let j(v) = -12*c(v) - o(v). Solve j(l) = 0.
-2, -1, 0, 1
Let r(c) = 6*c**4 + 133*c**3 - 108*c**2 - 185*c - 97. Let z(p) = 3*p**4 + 76*p**3 - 54*p**2 - 92*p - 49. Let g(w) = -4*r(w) + 7*z(w). Let g(y) = 0. Calculate y.
-3, -1, 5
Let l(w) be the third derivative of -w**6/240 - 89*w**5/120 - 43*w**4/24 + 44*w**3/3 - 684*w**2. Find m such that l(m) = 0.
-88, -2, 1
Suppose -14876 = -50*y + 13924. Determine g so that 336*g - 3/2*g**4 + y - 839*g**2 - 143/2*g**3 = 0.
-24, -2/3, 1
Suppose -3*c + 2*y + 17 + 0 = 0, 0 = -4*c + 5*y + 32. Factor -8*x + 5*x**2 - 2*x**4 - 3*x**2 + 20*x**3 + 0*x**3 - 12*x**c.
-2*x*(x - 4)*(x - 1)*(x + 1)
Let t be 8/28 + 76/126. Let r be (-480)/84*2/(-8) - (-1734)/(-3213). Solve 2/9*y**3 + 0 + t*y**2 + r*y = 0.
-2, 0
Let x be (-1002)/(-3 + 9) + 5. Let g = x - -164. Factor -1/4*u**g + 0*u + 1/4*u**5 + 0 - 3/4*u**4 + 3/4*u**3.
u**2*(u - 1)**3/4
Let m(u) be the second derivative of 5*u**4/12 - 9*u**3 - 11*u**2/2 + 1314*u + 2. Solve m(k) = 0.
-1/5, 11
Let o(r) be the third derivative of -r**7/420 + 7*r**6/60 + 29*r**5/120 + r**2 + 377*r + 2. Factor o(k).
-k**2*(k - 29)*(k + 1)/2
Let u = 78 - 57. Let d = 25 - u. Factor d - 2 + 2*g**3 + 1 - 4*g**2 + 1 - 2*g.
2*(g - 2)*(g - 1)*(g + 1)
Let t(o) be the second derivative of 0*o**3 - o + 1/10*o**5 + 6 + 0*o**4 - 1/75*o**6 + 0*o**2. Find z, given that t(z) = 0.
0, 5
Let a be -10 + 34 + -17 + -3. Let h(o) be the first derivative of -1/5*o**5 + 0*o**3 + 1/2*o**a + 0*o + 0*o**2 + 25. Factor h(t).
-t**3*(t - 2)
Let c(b) be the third derivative of -b**6/660 + 5*b**5/33 - 3*b**2 + 356. Suppose c(g) = 0. Calculate g.
0, 50
Suppose 0 = 3*w - 2*y + 511, y = -2*w - 322 - 28. Let i = w + 177. Find q, given that -8/9*q**3 + 10/9*q**2 - 4/9*q + 2/9*q**i + 0 = 0.
0, 1, 2
Let z(s) = 7*s**2 + 441*s + 1209. Let r(k) = -8*k**2 - 408*k - 1210. Let d(o) = 5*r(o) + 6*z(o). Factor d(b).
2*(b + 2)*(b + 301)
Let v(k) be the third derivative of -k**8/252 - k**7/45 + 11*k**6/180 + 61*k**5/90 + 7*k**4/4 + 2*k**3 - 1757*k**2 - 2. Let v(y) = 0. What is y?
-3, -2, -1, -1/2, 3
Let f be 15 - (-10)/(250/(-275)). Factor 0 - 66*x**f - 6/5*x - 342/5*x**3 - 126/5*x**2 - 108/5*x**5.
-6*x*(x + 1)**3*(18*x + 1)/5
Factor -40/9*o**3 - 44/9*o**2 - 338 - 2/9*o**4 + 520/3*o.
-2*(o - 3)**2*(o + 13)**2/9
Suppose -10 = -l - 5*s, 5*l + 120 - 128 = -4*s. Let p(r) be the third derivative of 0 + l*r + 11/3*r**3 - 1/6*r**4 + 33*r**2 + 1/330*r**5. Factor p(h).
2*(h - 11)**2/11
Let y(j) be the first derivative of -j**3/12 - 33*j**2/4 + 67*j/4 + 968. Factor y(d).
-(d - 1)*(d + 67)/4
Let r = -126559/20 - -6328. Let q(z) be the second derivative of 0*z**3 - 49*z - r*z**5 + 0*z**2 + 0 - 1/210*z**6 + 2/21*z**4. Determine u so that q(u) = 0.
-8, 0, 1
Suppose -p + 5 - 7 = 0. Let l be (-4 - (-1 - 6))/((-3)/p). Determine h so that -5*h + 3*h**2 + 12*h**l - 14*h**2 = 0.
0, 5
Let u(a) = 27*a**3 - 2016*a**2 + 5991*a - 3969. Let f(b) = -5*b**3 + 403*b**2 - 1198*b + 794. Let q(n) = -11*f(n) - 2*u(n). Factor q(v).
(v - 398)*(v - 2)*(v - 1)
Let w(g) be the first derivative of -1/6*g**4 - 13/120*g**5 + 0*g + 0*g**2 - 1/120*g**6 - 20 + 11/3*g**3. Let n(y) be the third derivative of w(y). Factor n(q).
-(q + 4)*(3*q + 1)
Let h be (-1 + 1/3)*-3. Let q = 12160 + -109432/9. Solve 0 + 16/9*k**h - 20/9*k**3 + q*k**4 - 4/9*k = 0 for k.
0, 1/2, 1
Suppose -32*u = -33*u - 3. Let k(o) = -o. Let l(a) = 3*a**2 - 18*a + 18. Let b(m) = u*k(m) - l(m). Factor b(h).
-3*(h - 6)*(h - 1)
Let b(i) = -2*i**3 + i**2 - 43*i - 91. Let w(g) = -2*g**3. Let u(f) = f**3 - f**2 + f + 1. Let t(j) = u(j) + w(j). Let d(o) = -b(o) + 5*t(o). Factor d(l).
-3*(l - 4)*(l + 2)*(l + 4)
Let f = -87079851/216093215 + -90/153803. Let x = -1/281 - f. Factor 6/5*r**2 - 2/5*r + 0 - 6/5*r**3 + x*r**4.
2*r*(r - 1)**3/5
Let h(c) be the second derivative of -c**8/23520 + c**7/4410 + 169*c**4/12 + 48*c. Let j(v) be the third derivative of h(v). Factor j(y).
-2*y**2*(y - 2)/7
Let i =