*(m - 7)/9
Let z(v) = -29*v + 103. Let j be z(11). Let h be ((12/27)/(-4))/(45/j). Factor 2/15 + 2/5*m - h*m**2.
-2*(m - 1)*(4*m + 1)/15
Let x(k) = 40*k**4 - 220*k**3 + 875*k**2 + 235*k - 870. Let n(l) = 11*l**4 - 55*l**3 + 219*l**2 + 59*l - 218. Let u(w) = -15*n(w) + 4*x(w). Solve u(f) = 0.
-14, -1, 1, 3
Let -6*l**2 - 38240*l + 38492*l + 2*l**2 + 792 = 0. What is l?
-3, 66
Let m = 34391 + -34385. Let t(q) be the second derivative of 1/24*q**3 + 0*q**2 + 0 - 1/24*q**4 + 1/60*q**m + 0*q**5 - 47*q - 1/168*q**7. Factor t(u).
-u*(u - 1)**3*(u + 1)/4
Factor -4008746*a + a**3 - 5*a**3 + 4008750*a + 892 - 892*a**2 + 0*a**3.
-4*(a - 1)*(a + 1)*(a + 223)
Let u be 1/(-2)*-2*0/(51/(3468/(-340))). Factor u - 190*k**2 - 10*k**4 - 361/4*k - 1/4*k**5 - 219/2*k**3.
-k*(k + 1)**2*(k + 19)**2/4
Suppose 0*n - 42/5*n**2 + 0 - 2/5*n**5 + 2*n**4 + 34/5*n**3 = 0. Calculate n.
-3, 0, 1, 7
Let w(h) = -49*h**3 - 699*h**2 - 1361*h - 691. Let n(y) = 54*y**3 + 701*y**2 + 1361*y + 692. Let a(z) = 10*n(z) + 11*w(z). Find l, given that a(l) = 0.
-1, 681
Let t(p) be the second derivative of p**5/20 - 5*p**4/12 - 6*p**3 - 8*p - 63. Factor t(q).
q*(q - 9)*(q + 4)
Let j = -154 + 202. Factor 5*l + 57*l**2 - j - 51*l**2 + 48.
l*(6*l + 5)
Let w be -10*((-19)/45 + (-18)/(-81)). Factor 46*t + 94*t - 103 - 707*t**2 + 733*t**w + t**3 - 289.
(t - 2)*(t + 14)**2
Let q(m) be the second derivative of -m**5/30 - 259*m**4/18 + m - 753. Factor q(u).
-2*u**2*(u + 259)/3
Let f be 2*2 - 3*(847/(-33) - -26). What is r in -33/10*r**2 - 1/10*r**4 - 22/5*r - 2 - r**f = 0?
-5, -2, -1
Let l = -724 + 729. Let r(z) = 5*z**3 - 45*z**2 + 5*z - 5. Let q(a) = -7*a**3 + 46*a**2 - 6*a + 6. Let g(y) = l*q(y) + 6*r(y). Suppose g(v) = 0. Calculate v.
-8, 0
Let c(i) be the first derivative of i**5/100 - i**4/30 - i**3/30 + i**2/5 + 69*i + 52. Let g(z) be the first derivative of c(z). Factor g(y).
(y - 2)*(y - 1)*(y + 1)/5
Let l(x) be the third derivative of x**7/10080 - x**6/960 + x**4/12 - 11*x**3/6 + x**2 + 15. Let t(y) be the second derivative of l(y). Factor t(r).
r*(r - 3)/4
Let n(t) be the third derivative of t**8/336 - 2*t**7/35 + 3*t**6/40 + 61*t**5/30 - 7*t**4/2 - 60*t**3 - t**2 - 785. Solve n(h) = 0.
-2, 3, 10
Let j be ((-426)/4)/((-54)/36). Let v = j - 71. Factor -7*y**2 + v*y - y + 2*y**2 + 6*y**2 - 2.
(y - 2)*(y + 1)
Suppose -4*t + 1 = 8528*l - 8527*l, -3*t + 34 = -4*l. Determine a so that -10/3*a - 2/3*a**t - 8/3 = 0.
-4, -1
Let i(h) be the third derivative of -h**6/300 - h**5/6 - 23*h**4/30 - 917*h**2. Factor i(r).
-2*r*(r + 2)*(r + 23)/5
Let k(q) be the first derivative of -3*q + 45/14*q**2 - 3 - 9/28*q**4 + 19/7*q**3. Determine u so that k(u) = 0.
-1, 1/3, 7
Let b(n) be the second derivative of -n**4/6 - 17*n**3/3 + 18*n**2 - 133*n - 1. Suppose b(u) = 0. What is u?
-18, 1
Let n(b) be the first derivative of -64 - 16/3*b**3 - 2*b**2 - b**4 + 24*b. Find g, given that n(g) = 0.
-3, -2, 1
Let u(s) be the third derivative of -17*s**5/150 - 106*s**4/15 + 5*s**3/3 - 1474*s**2. Suppose u(b) = 0. What is b?
-25, 1/17
Let w(j) be the first derivative of -3*j**5/5 - 6*j**4 - 19*j**3 - 18*j**2 + 893. Let w(h) = 0. Calculate h.
-4, -3, -1, 0
Factor 8*c**4 + 62*c**4 - 13*c**5 - 6*c**5 + 17*c**5.
-2*c**4*(c - 35)
Let q be (-34)/(-12) - (-4 - 69/(-18)). Determine z so that -5*z + 10*z**2 + 3579*z**3 - 9 - 3574*z**q - 1 = 0.
-2, -1, 1
Suppose 2*s + 3*i + 567 = 6*s, 0 = 3*s + 2*i - 438. Factor -108 - 22*c**2 + 28*c**2 + 4*c**4 - s*c + 16*c**3 - 30*c**2.
4*(c - 3)*(c + 1)*(c + 3)**2
Let c(o) = 29*o**2 - 263*o + 22. Let a be c(9). Let 28/5*g**3 - 24/5*g - 4/5*g**2 - 4/5*g**5 + 0 + 4/5*g**a = 0. What is g?
-2, -1, 0, 1, 3
Suppose 5*m - 14 - 1 = 0. Let z = 27 - 25. Determine x, given that x**4 - 8*x**m - 158*x**z - 5*x**4 + 154*x**2 = 0.
-1, 0
Factor 416 - 2*y**2 + 2391*y - 2497*y + 292.
-2*(y - 6)*(y + 59)
Let u(z) be the third derivative of 0 - 20*z**2 + 50/3*z**4 - 16/3*z**5 - 125/6*z**3 + 2*z. Find b, given that u(b) = 0.
5/8
Let f = 41141/4 + -10197. Let m = -88 + f. Factor m*c**3 + 0*c + 0*c**2 + 0.
c**3/4
Let r(o) be the first derivative of o**4/3 + 38*o**3/3 + 176*o - 127. Let q(d) be the first derivative of r(d). Factor q(l).
4*l*(l + 19)
Let i(v) be the first derivative of 2*v**5/5 + 172*v**4 - 692*v**3/3 - 344*v**2 + 690*v + 330. Factor i(q).
2*(q - 1)**2*(q + 1)*(q + 345)
Let -1156*k - 4*k**3 + 90 - 244*k**2 - 1169*k + 886 + 2341*k = 0. What is k?
-61, -2, 2
Let k(s) be the second derivative of 8/9*s**3 + 5/9*s**4 + 0*s**2 - 1/45*s**6 + 1/30*s**5 - 62*s - 2. Determine q, given that k(q) = 0.
-2, -1, 0, 4
Suppose -6 = -5*p + 9. Let a(q) be the first derivative of -4*q**2 - 20*q - q**p - q**4 - 29 - 3*q**3 + 22*q**2. Suppose a(r) = 0. Calculate r.
-5, 1
Let v(m) be the first derivative of 2*m**2 + 36/5*m - 275 + 1/15*m**3. Suppose v(k) = 0. What is k?
-18, -2
Let x be 301059/(-243) + (-14)/189. Let m = x - -8682/7. Let 0 - 3/7*g**3 + m*g**2 - 9/7*g**4 + 0*g + 3/7*g**5 = 0. Calculate g.
-1, 0, 1, 3
Suppose 23 = -37*v + 97. Determine m so that 69*m + 90*m**v + 231*m + m**4 + 311*m**3 - 347*m**3 + 2*m**4 - 1125 + 0*m**4 = 0.
-3, 5
Let x(b) be the first derivative of -9/8*b**2 - 3/40*b**5 + 3/16*b**4 + 5/8*b**3 + 197 + 0*b. Factor x(r).
-3*r*(r - 3)*(r - 1)*(r + 2)/8
Let q(x) = 6*x**2 - 1259*x + 399204. Let u(t) = -5*t**2 + 1260*t - 399248. Let f(j) = 4*q(j) + 5*u(j). Factor f(h).
-(h - 632)**2
Suppose 0 = 4*r + 5*f - 3*f - 50, 5*r - 73 = f. Let l(h) = h**2 - 32*h + 254. Let k be l(r). Factor -8/13*s - 2/13*s**3 + 0 - 10/13*s**k.
-2*s*(s + 1)*(s + 4)/13
Suppose -3*l + 3 = -0. Suppose -2*b - l = -5. Let 184*c + 7*c**2 - 172*c - 4*c**b = 0. What is c?
-4, 0
Let g(q) = -2*q**3 + 17*q**2 - 5. Suppose 6*f + 60 = -6*f. Let r(z) = z**3 - 8*z**2 + 2. Let p(l) = f*r(l) - 2*g(l). Factor p(h).
-h**2*(h - 6)
Let z(a) be the second derivative of -a**7/2016 - a**6/90 + 7*a**5/160 + a**4/3 + 4*a**2 + 51*a. Let h(t) be the third derivative of z(t). Factor h(f).
-(f + 7)*(5*f - 3)/4
Let a be (-18)/(-56)*544/(-204)*(-1155)/33. Factor 58*y**2 + 6*y**4 + 2/5*y**5 + a*y**3 + 48*y + 72/5.
2*(y + 1)**3*(y + 6)**2/5
Let z(o) = o**3 + 30*o**2 - 71*o - 32. Let j be z(-32). Let i = -190 + j. Determine s, given that 2/5 - 4*s**i + 11/5*s**3 + 7/5*s = 0.
-2/11, 1
Suppose v + z = 11, 5*z - z + 31 = v. Suppose -v + 7 = -4*h. Factor -6 - 78*j**2 + 82*j**2 - 8*j + 7*j**3 + j**3 + h*j**4.
2*(j - 1)*(j + 1)**2*(j + 3)
Let h(o) be the third derivative of -o**6/360 - 19*o**5/36 - 139*o**4/36 - 92*o**3/9 - 254*o**2 + 4. Factor h(j).
-(j + 1)*(j + 2)*(j + 92)/3
Let a(s) be the first derivative of -3*s**4/4 - 79*s**3 + 11720. Let a(i) = 0. What is i?
-79, 0
Let a(y) = 4*y**3 + 2*y**2 - y. Let d be a(1). Suppose 0 = d*z + 27 - 47. Factor h + 9*h**2 - 12*h**2 + h + h**z.
h*(h - 1)**2*(h + 2)
Factor 27398*j**3 + 9888*j - 17689/2*j**4 - 27602*j**2 - 1152.
-(7*j - 2)**2*(19*j - 24)**2/2
Let i(m) be the third derivative of -m**8/100800 + m**7/12600 - 7*m**5/60 - m**3/6 + 31*m**2 - 2. Let b(a) be the third derivative of i(a). Factor b(k).
-k*(k - 2)/5
Let y be 47/7 - (-1 + 0). Let o = 1273264 - 8912740/7. Factor 18/7*p**2 - o + 2*p**3 - y*p + 2/7*p**4.
2*(p - 2)*(p + 3)**3/7
Let t be (-269)/(-42) + 20*25/(-875). Let n(i) be the third derivative of -i**2 + 1/12*i**5 + 0 + 5/4*i**4 - t*i**3 + 0*i. Factor n(l).
5*(l - 1)*(l + 7)
Factor 122/5*p - 220 - 2/5*p**2.
-2*(p - 50)*(p - 11)/5
Let p = 14707 + -220591/15. Let k(s) be the second derivative of -p*s**3 + 0 - 6*s - 49/5*s**2 - 1/30*s**4. Solve k(m) = 0 for m.
-7
Let a be (6/(-4))/(10/(-20)). Factor 28*w**a - 8 + 8*w + 18*w**3 + 6*w**3 + 14*w**4 + 54*w**2.
2*(w + 1)**2*(w + 2)*(7*w - 2)
Let u(t) = -6*t + 41. Let f be u(6). Factor 4*l**3 - 340*l + 5*l**3 + 360*l - f + l**3 - 25*l**2.
5*(l - 1)**2*(2*l - 1)
Factor -5*l**3 + 59741*l + 377 - 475*l**2 - 1977 + 1280*l**2 - 60531*l.
-5*(l - 160)*(l - 2)*(l + 1)
Let s(u) be the third derivative of -u**7/126 - u**6/36 + 7*u**5/36 + 5*u**4/9 - 10*u**3/3 - 13*u**2 + 2. Let s(a) = 0. What is a?
-3, -2, 1, 2
Let w be 0 - 4/6 - -1 - (-6715)/510. Let p(c) be the first derivative of 9*c**3 + w*c**2 + 1/5*c**5 + 0*c - 2 + 9/4*c**4. Solve p(y) = 0 for y.
-3, 0
Factor 59*d**2 - 210*d + 148*d + 42*d.
d*(59*d - 20)
Let b(m) be the first derivative of -2/65*m**5 + 3/26*m**4 + 