
3*k*(k + 2)**2*(15*k - 1)
Let y be (42/15)/(36/60)*42/98. Factor 578/7 - 2/7*c**3 - 510/7*c - 66/7*c**y.
-2*(c - 1)*(c + 17)**2/7
Let b(i) = -4*i**2 - 8*i - 100. Suppose 8*t + 4*t = 192. Let z(a) = a**2 + 4*a + 33. Let c(j) = t*z(j) + 5*b(j). Factor c(q).
-4*(q - 7)*(q + 1)
Let f(n) be the third derivative of -4/21*n**3 + 0*n - 1/105*n**5 - 62*n**2 + 0 + 1/14*n**4. Factor f(v).
-4*(v - 2)*(v - 1)/7
Suppose 0 = -7*c + 2*c + 10, 4*u - 3*c - 14 = 0. Factor -181*g + u + 4*g**3 + 23 + 177*g - 28*g**2.
4*(g - 7)*(g - 1)*(g + 1)
Let k = -45 + 992. Let -40*a + 235*a**2 - 1277*a**3 + k*a**3 + 30*a**5 - 10*a**5 + 115*a**4 = 0. What is a?
-8, 0, 1/4, 1
Let m = -5599 + 5604. Let w(s) be the second derivative of -15*s - s**4 + 0 + 8*s**2 + 1/5*s**m + 0*s**3. Factor w(p).
4*(p - 2)**2*(p + 1)
Let u(h) be the third derivative of h**8/3360 + h**7/420 + h**6/180 + 5*h**4/24 + h**3/2 - 12*h**2. Let a(l) be the second derivative of u(l). Factor a(r).
2*r*(r + 1)*(r + 2)
Suppose -179*m = -181*m + 312. Suppose 177 = 7*s + m. Factor 0 + 2/5*g**2 + 4/5*g + 2*g**4 - 16/5*g**s.
2*g*(g - 1)**2*(5*g + 2)/5
Let b(i) = 10*i + 83. Let z be b(-8). Suppose z*j = c + 9, -4*c = -4*j + 13 + 7. Let 4/9*g**j - 2/9*g**4 - 8/9*g**3 - 2 + 8/3*g = 0. What is g?
-3, 1
Let l = 22726 - 22708. Let v(n) be the third derivative of 144*n**3 + 0 + 6/5*n**5 + 1/30*n**6 + 0*n + l*n**4 + 36*n**2. Factor v(g).
4*(g + 6)**3
Suppose 0 = -m + 2*x, 0 = -5*m - 4*x + 2 + 26. Suppose -3*h - i = -13, h + 10 = -h + m*i. Factor 0 - 1/2*b**h + 1/6*b**2 + 1/3*b.
-b*(b - 1)*(3*b + 2)/6
Suppose -3 = -3*k + 3. Suppose -k*w + 6 = 4*l - 2*l, -11 = -3*w - 5*l. Solve -8*j**2 + 13*j**2 - 4*j**w - 1 = 0.
-1, 1
Let u(k) be the first derivative of -k**5/6 + 3*k**4/2 - 53*k**3/18 - 3*k**2/2 + 20*k/3 + 18. Find y such that u(y) = 0.
-4/5, 1, 2, 5
Let j = 112 + -109. Let -275*k - 392*k - 2*k**4 - 40*k**j - 366 + 27*k - 264*k**2 - 146 = 0. Calculate k.
-8, -2
Let u(c) be the second derivative of 1/24*c**6 - 5/6*c**4 + 0 - 1/12*c**5 + 10*c - 22*c**2 + 10/3*c**3. Let a(h) be the first derivative of u(h). Factor a(i).
5*(i - 2)*(i - 1)*(i + 2)
Let h = 4682 + -4680. Let f(p) be the first derivative of 10 + 0*p + 0*p**h + 1/4*p**4 + 1/3*p**3. Suppose f(y) = 0. What is y?
-1, 0
Let j = 132 + -129. Factor -80*k - j + 4 - 44*k**2 + 15.
-4*(k + 2)*(11*k - 2)
Let x(h) be the first derivative of -95 - 245/4*h**4 - 760*h**2 - 340*h**3 - 4*h**5 - 320*h. Find z, given that x(z) = 0.
-4, -1/4
What is w in -1/4*w**2 - 61/8*w + 1/8*w**5 + 4*w**4 - 15/4 + 15/2*w**3 = 0?
-30, -1, 1
Let m(u) be the first derivative of 4*u**3/3 + 39*u**2/2 - 55*u - 1961. Factor m(j).
(j + 11)*(4*j - 5)
Let t be (-1*1 - (0 - 78)/(-13)) + 11. Let u = 41/143 + 1/13. Factor 0 + 2/11*q**5 + 10/11*q**t + 18/11*q**3 + 14/11*q**2 + u*q.
2*q*(q + 1)**3*(q + 2)/11
Let m = 24 - 21. Suppose 3 = -2*y + m*y. Suppose 4*h + 2*h**y - 3*h**3 + 5*h**2 + 2*h**3 = 0. What is h?
-4, -1, 0
Suppose -4*n + 6 = 2*w, 4*n + 0 = -w + 5. Let v be n + 30/6 + -3. Determine t, given that 2*t**v + 2758 + 12*t**2 + 10*t - 2758 = 0.
-5, -1, 0
Let r(u) be the third derivative of -u**8/112 - 13*u**7/70 - 29*u**6/20 - 22*u**5/5 + 4*u**4 + 64*u**3 - 502*u**2. Solve r(i) = 0 for i.
-4, -2, 1
Let a be ((-18)/15)/((-4)/(80/3)). Suppose -3*z + 14 = n, -2 + a = n + z. Factor -6*q**2 - 5*q**2 + 5*q + 16*q**n.
5*q*(q + 1)
What is j in 209*j**2 + 10*j - j + 14 - j**3 - 215*j**2 = 0?
-7, -1, 2
Let c(g) be the third derivative of g**6/300 + g**5/15 + 31*g**4/60 + 2*g**3 - 2184*g**2. Factor c(w).
2*(w + 2)*(w + 3)*(w + 5)/5
Let p(b) be the second derivative of b**6/180 - 23*b**5/120 - 19*b**4/18 - 13*b**3/9 - 2123*b. Factor p(f).
f*(f - 26)*(f + 1)*(f + 2)/6
Factor 0*r + 0 + 876/7*r**2 + 3/7*r**3.
3*r**2*(r + 292)/7
Let t(y) be the first derivative of -y**4/8 - 55*y**3/3 - 3233*y**2/4 - 5618*y - 40. Solve t(o) = 0.
-53, -4
Suppose -t = -8 + 6, -3*t + 78 = 4*d. Let g be (-28)/(-4) + (d - 21). Suppose -2/5*u**2 + 0 + 2/5*u**3 + 2/15*u - 2/15*u**g = 0. What is u?
0, 1
Let t(o) be the second derivative of o - 1/2*o**3 + 0*o**2 + 5/4*o**4 + 13. Factor t(v).
3*v*(5*v - 1)
Solve 3/7*w**5 + 201/7*w**3 - 408/7*w + 60 - 327/7*w**2 + 111/7*w**4 = 0 for w.
-35, -2, 1
Let m be 16/(-112)*63 - (-159)/13. Factor 2/13*r**2 + m - 20/13*r.
2*(r - 7)*(r - 3)/13
Let t(c) = c**2 + 6*c + 5. Let g(j) = -7*j**2 - 8*j - 4. Let b(r) = 12*r**2 + 15*r + 8. Let y(z) = -3*b(z) - 5*g(z). Let u(x) = 2*t(x) + 3*y(x). Factor u(w).
-(w + 1)*(w + 2)
Suppose 23*a - 20*a = 129. Find p, given that -44 + a*p**2 - 85*p**2 - 48*p + 38*p**2 = 0.
-11, -1
Let 60*u**2 + 115 + 99*u**2 + 759*u + 5*u**3 - 34*u**2 - 282*u - 242*u = 0. Calculate u.
-23, -1
Let m(s) = s + 2. Let l be m(0). Factor 27*q - 101*q - 4*q**l + 46*q - 40.
-4*(q + 2)*(q + 5)
Let n(a) be the first derivative of 10*a**3/33 + 23*a**2/11 - 20*a/11 + 1578. Factor n(k).
2*(k + 5)*(5*k - 2)/11
Let a be 19 - (-35 - (-2461)/46). Find k, given that 3/2 - a*k**2 + k = 0.
-1, 3
Let s(w) be the first derivative of 2*w**6/3 + 9*w**5/5 - 5*w**4/2 - w**3 - 1064. Find k such that s(k) = 0.
-3, -1/4, 0, 1
Let m(c) be the first derivative of -c**4/36 + c**3/9 + c**2/2 + 21*c - 46. Let f(i) be the first derivative of m(i). Factor f(z).
-(z - 3)*(z + 1)/3
Suppose -5*p - 4*o = 1637, -58*p + 53*p - 1619 = -2*o. Let n be (-195)/(-92) + p/260. Determine y so that -n - 2/23*y**2 + 14/23*y = 0.
2, 5
Let d = 166 + -655/4. Let i be ((-159)/(-1484))/(16/28 + 12/(-28)). Suppose 3/4*f**2 - i*f**3 + 15/4*f + d = 0. Calculate f.
-1, 3
Let t(k) be the first derivative of -5/3*k**3 - 5/2*k**2 - 43 + 0*k. Factor t(l).
-5*l*(l + 1)
Let b = 99935 - 99931. Let t(p) = 2*p + 1. Let d be t(1). Factor y - 8/3*y**2 - 1/3*y**5 + 0 + 0*y**b + 2*y**d.
-y*(y - 1)**3*(y + 3)/3
Let a(l) = l**4 - 23*l**3 + 73*l**2 + 455*l + 348. Let y(o) = -4*o**4 + 47*o**3 - 145*o**2 - 911*o - 690. Let h(j) = -5*a(j) - 2*y(j). Solve h(m) = 0 for m.
-8, -3, -1, 5
Suppose 0 = -353*d + 944 - 238. Suppose -27/7*g**d + 162/7 - 81/7*g - 3/7*g**4 + 3*g**3 = 0. Calculate g.
-2, 3
Factor 17/2*z**2 - 3 + 11/2*z.
(z + 1)*(17*z - 6)/2
Let k(c) be the third derivative of -c**7/1120 + 19*c**6/480 - 47*c**3/2 + 11*c**2. Let w(i) be the first derivative of k(i). Suppose w(n) = 0. What is n?
0, 19
Suppose -4*j - 5*k = -40, 5*k + 4 = 24. Let z(h) be the third derivative of -h**4 + 0 + 0*h + 1/45*h**j + 18*h**3 - 22*h**2. Let z(a) = 0. Calculate a.
9
Let o(k) be the third derivative of -k**7/420 - 3*k**6/80 - k**5/6 - k**4/4 + 6*k**2 - 43*k + 2. Factor o(l).
-l*(l + 1)*(l + 2)*(l + 6)/2
Let y(j) = -j**2 - 16*j + 13. Let f = 1311 + -1315. Let c(t) = 0 - 12*t + 12 - 3*t. Let a(d) = f*c(d) + 3*y(d). Factor a(w).
-3*(w - 3)*(w - 1)
Factor -78*x**2 + 3042*x - 39546 + 2/3*x**3.
2*(x - 39)**3/3
Let m(a) be the first derivative of 4*a**5/15 - 61*a**4/12 + 71*a**3/9 - 7*a**2/3 + 2084. Find j such that m(j) = 0.
0, 1/4, 1, 14
Factor 6*g**3 + 126/11*g + 191/11*g**2 + 1/11*g**4 + 0.
g*(g + 1)*(g + 2)*(g + 63)/11
Factor -59*i + 443*i**3 + 445*i**3 - 72*i**2 + 5*i**4 - 828*i**3 - 71*i - 3*i**2.
5*i*(i - 2)*(i + 1)*(i + 13)
Let q(a) = -a**3 - 1. Let m(f) = -6*f**2 + 7*f - 6. Let g be m(1). Let k(y) = 4*y**3 - 3*y**2 + 9. Let l(h) = g*q(h) - k(h). Let l(z) = 0. What is z?
-2, 1
Suppose -x - 13*n - 5 = -9*n, 0 = -2*x - 4*n - 2. Let k(b) be the first derivative of 6/7*b**2 + 0*b**3 + 8/7*b - 1/7*b**4 + x. Factor k(t).
-4*(t - 2)*(t + 1)**2/7
Let t(s) be the first derivative of -14*s + 13*s**2 + 49 - 10/3*s**3 - 1/2*s**4. Solve t(w) = 0.
-7, 1
Let 48/5 + 1323/5*g**2 - 504/5*g = 0. What is g?
4/21
Let c(d) be the third derivative of 0 - 3/28*d**4 + 1/70*d**5 + 1/420*d**6 - 5*d**2 + 5/21*d**3 + 4*d. Factor c(x).
2*(x - 1)**2*(x + 5)/7
Let z = -327 + 387. Let 11 + 163*g**2 + 92*g + z*g**3 - 41 - 27*g**2 + 46 = 0. Calculate g.
-1, -4/15
Let f be (-32)/(-9 - -5) + -4. Suppose 6*t - 3*t + f = 5*a, 14 = 3*t + 4*a. Factor 6/5 - 8/5*u**t + 22/5*u.
-2*(u - 3)*(4*u + 1)/5
Let t be (-3)/30 - (-3417)/(-30). Let c be (-95)/t*(-18)/(-10). Suppose -3/2*f**4 + 6*f**3 - c - 9*f**2 + 6*f = 0. Calculate f.
1
Let d(t) = -25*t**3 + 65*t**2 + 40*t - 50. Let u = 54 + -49. Let v(i) = -i**3 + 0*i**3 + u - 4 + i**2. Let l(m) = -d(m) + 30*v(m). Determine x so that l(x) = 0.
-4, 1
Suppose 0 = 3*n - 3*p - 33, 2*n 