/13, 1
Let y be (-2 - 1) + (75 - -6). Let h = -70 + y. Factor -2*x**2 - 4 + 17*x - 15*x + h.
-2*(x - 2)*(x + 1)
Let z(j) = -24*j + 28. Let q be z(1). Suppose -l + 0*l - q*c - 14 = 0, 4*l = 5*c + 28. Factor 0 - 1/2*n**l - 1/2*n.
-n*(n + 1)/2
Let q(h) be the third derivative of -h**8/112 - 13*h**7/14 - 1067*h**6/40 - 5203*h**5/20 - 6308*h**2. Suppose q(k) = 0. What is k?
-43, -11, 0
Let u(j) be the third derivative of -j**6/24 + 5*j**5/12 - 5*j**4/6 + 3849*j**2. Determine g, given that u(g) = 0.
0, 1, 4
Let q be (35/(-30))/(-7) - 17/(-6). Factor -24 + 18*b + 10 + 12 + 2 + q*b**2.
3*b*(b + 6)
Let i be (-8992)/(-4777) - (-4)/34. Solve 5/4*m**3 + 135/4*m - 19/2 - 51/2*m**i = 0 for m.
2/5, 1, 19
Let p = -84503/12 - -7042. Let q(m) be the third derivative of 2*m**3 + 0 + p*m**4 - 1/30*m**5 + 0*m + 4*m**2. Determine y, given that q(y) = 0.
-2, 3
Let m(i) be the first derivative of 6*i**6 - 192*i**5/5 + 55*i**4 + 64*i**3 - 128*i**2 - 761. Determine t, given that m(t) = 0.
-1, 0, 1, 8/3
Let m(s) = s**2 - 18*s - 37. Suppose -4*d - 5*n - 55 = -6*d, 4*d = n + 83. Let b be m(d). Solve -3*v**b - v**3 - 6 - v**3 + 2*v**3 + 9*v = 0 for v.
-2, 1
Let t = 489 + -1465/3. Let n = -2130 - -6422/3. Suppose -n - t*s**2 - 16/3*s = 0. Calculate s.
-4
Let n(l) be the third derivative of l**5/180 - 55*l**4/24 - 425*l**3/9 + 2*l**2 + 410*l. Solve n(d) = 0 for d.
-5, 170
Suppose -64 = -3*h - 2*v, 0 = 2*h + h + 3*v - 66. Suppose -h = 78*s - 82*s. Let -s - 11*w - 5 - 11*w - 5*w**2 + 7*w = 0. What is w?
-2, -1
Suppose 3*y + 4*d = 22, 0*y = 4*y + 2*d - 16. Let r be (1 - 3) + (-255)/(-210) - (-444)/296. What is z in -r*z + 0 + 1/7*z**y = 0?
0, 5
Let v(a) = 3875 + 11*a**2 + a**2 - 5*a**2 - 176*a - 2*a**2. Let s(b) = -9*b**2 + 352*b - 7749. Let m(n) = 3*s(n) + 5*v(n). Factor m(d).
-2*(d - 44)**2
Let g(s) = -4*s**2 - 50*s + 400. Let h(r) = r**2 - 8*r + 31. Let l be h(4). Let w(z) = -z**2 - 2*z. Let j(d) = l*w(d) - 3*g(d). Suppose j(f) = 0. Calculate f.
20
Suppose 34*o - 42*o + 16 = 0. Factor 6*b**2 + 10*b - b**2 + 15 + 0*b**2 - 12*b**o + 2*b**2.
-5*(b - 3)*(b + 1)
Factor -2 + 48*h - 20 + 3*h**2 + 28 - 6.
3*h*(h + 16)
Let i(c) be the second derivative of 5*c**7/14 - 47*c**6/6 + 44*c**5 + 80*c**4/3 + 3*c - 253. Determine b so that i(b) = 0.
-1/3, 0, 8
Let i(u) be the third derivative of -u**6/360 - u**5/20 - 5*u**4/18 - u**2 + 730. Factor i(w).
-w*(w + 4)*(w + 5)/3
Factor 24964 + 1/4*u**3 + 80*u**2 + 6557*u.
(u + 4)*(u + 158)**2/4
Let t(m) be the second derivative of m**6/15 - m**5/10 - 19*m**4/3 + 12*m**3 + 72*m**2 + 1402*m. Solve t(a) = 0.
-6, -1, 2, 6
Let c(y) be the second derivative of -y**4/6 - 67*y**3/3 - 66*y**2 + 1170*y. Find r, given that c(r) = 0.
-66, -1
Let p be 39/(390/35) - (-2)/(-12) - 2. Determine h so that -1/3*h**4 + 0 + 4/3*h**3 - p*h + 1/3*h**2 = 0.
-1, 0, 1, 4
Let q(h) be the third derivative of h**5/15 + 17*h**4 - 416*h**3/3 + 5*h**2 - 425*h. Suppose q(s) = 0. What is s?
-104, 2
Let b(z) be the second derivative of -z**4/3 + 50*z**3/3 + 168*z**2 + 371*z. Solve b(r) = 0 for r.
-3, 28
Let n(z) be the second derivative of z**4/12 + z**3/3 - 19*z**2/2 - 7*z. Let y be n(-8). Factor y*t + 3*t**2 + 14*t - 16*t.
3*t*(t + 9)
Determine j so that -1/3*j**5 + 0 + 0*j + 5/3*j**4 + 17/3*j**3 - 7*j**2 = 0.
-3, 0, 1, 7
Suppose -y - 124*p = -126*p - 7, -5*p - 16 = -2*y. Factor 3/8*x**4 + 9/2*x + 9/4*x**y + 3/2 + 39/8*x**2.
3*(x + 1)**2*(x + 2)**2/8
Factor -201*k**3 + 103*k**3 - 12*k**2 + 101*k**3 - 15*k**2 - 210*k.
3*k*(k - 14)*(k + 5)
Let w(o) = 152*o**2 - 84*o + 7. Let m(d) = -9 - 161*d**2 + 8*d**2 - 4 + 7 + 84*d. Suppose 5*y + 30 = 10*y. Let l(p) = y*w(p) + 5*m(p). Factor l(x).
3*(7*x - 2)**2
Suppose 4*u + 9*d = 10*d + 13, 0 = 2*u - 5*d + 25. Let s(z) be the second derivative of 0 - 24*z - 1/12*z**4 - 1/6*z**2 - 1/6*z**3 - 1/60*z**u. Factor s(l).
-(l + 1)**3/3
Suppose 2*j + 2*j - 12*z = -14*z + 12, 22 = 11*z. Suppose -2/13*h**j - 12/13*h - 16/13 = 0. Calculate h.
-4, -2
Factor 8464/3 - 828*l - 1/3*l**3 + 32*l**2.
-(l - 46)**2*(l - 4)/3
Let u be ((-8)/3)/((-416)/156) - -3. Suppose 0 + 1/2*o**2 - 1/2*o**u + 0*o**3 + 0*o = 0. What is o?
-1, 0, 1
Let v = 15134 + -15130. Let -2*h**2 + 3/2 + h**3 + 1/2*h**v - h = 0. Calculate h.
-3, -1, 1
Suppose 2*c = 5*r - 10, -3*c + 2*r - 13 = -4*c. Suppose -2*d + c = 3*d - 3*k, 26 = 4*d + 2*k. Factor -i**4 + 7*i**4 - 4*i**3 + 4*i**4 - d*i**5.
-2*i**3*(i - 2)*(2*i - 1)
Let t = 268774 + -268771. Factor 0 + 18/17*c**2 - 54/17*c + 6/17*c**t - 2/17*c**4.
-2*c*(c - 3)**2*(c + 3)/17
Let o = 36 - -113. Determine q, given that -20*q**3 - 55*q**2 - 164*q - o*q - 20 + 408*q = 0.
-4, 1/4, 1
Let x = -1973507/4 - -493397. Determine r so that -3 + 183/4*r - x*r**3 - 555/8*r**2 = 0.
-4, 2/27, 1/2
Suppose -4*o - 4*j - 8 = -0*j, -4*j = -2*o + 20. Suppose 3474 - 4*x - x + x**o - 3468 = 0. What is x?
2, 3
Suppose 2408*m + 1505 = -21*m + 1505. Factor -1/2*s + m - 1/2*s**3 - s**2.
-s*(s + 1)**2/2
Let r(j) = 3*j**2 + 267*j - 250. Let q(w) = 16*w**2 + 1336*w - 1242. Let b(a) = -6*q(a) + 33*r(a). Factor b(i).
3*(i - 1)*(i + 266)
Let h be 13/3*108/1170. Determine b so that -b + b**3 + h - 2/5*b**2 = 0.
-1, 2/5, 1
Let k(h) = h**3 + h**2. Suppose 15*d - 4*d = -22. Let a(z) = -5*z**3 - 15*z**2 - 6*z + 36. Let f(x) = d*a(x) - 14*k(x). Let f(v) = 0. Calculate v.
-2, 3
Let v(q) = -6*q**3 + 3*q**3 - 3*q**3 - 2*q**2 - 1041*q + 1037*q. Let k(h) = 5*h**3 + 2*h**2 + 3*h. Let m = 21 + -17. Let g(b) = m*k(b) + 3*v(b). Factor g(t).
2*t**2*(t + 1)
Suppose -78*w = -84*w - 4074. Let a = w - -2039/3. What is m in 0 - a*m**3 + 0*m - 2/3*m**2 = 0?
-1, 0
Let j(g) = -7*g**5 - 803*g**4 - 1610*g**3 + 4*g**2 - 8*g. Let o(h) = -3*h**5 - 2*h**4 + h**2 - 2*h. Let z(b) = j(b) - 4*o(b). Factor z(s).
5*s**3*(s - 161)*(s + 2)
Factor 13/6*z**2 + 12 - 35/3*z.
(z - 4)*(13*z - 18)/6
Let c(l) = 102*l - 14*l**2 + 48 - 148 + 23*l. Let p(b) = -3*b**2 + 25*b - 20. Suppose -60*k - 182 = 478. Let r(h) = k*p(h) + 2*c(h). Find q such that r(q) = 0.
1, 4
Find w, given that -242682 + 915*w - 800*w**3 - 6*w**2 + 4*w**4 - 6*w**2 + 1477*w + 244282 = 0.
-1, 2, 200
Let q = 2513 + -2513. Let j(z) be the first derivative of -3/14*z**4 + 40 - 2/35*z**5 + q*z + 0*z**3 + 4/7*z**2. Factor j(u).
-2*u*(u - 1)*(u + 2)**2/7
Let x(f) be the third derivative of 1/2*f**4 - 1/40*f**6 - 13*f + 2*f**2 + 0 + 0*f**3 + 0*f**5. Let x(t) = 0. What is t?
-2, 0, 2
Let p(m) be the first derivative of -5*m**3/3 - 5*m**2/2 + 100*m + 131. Let p(l) = 0. Calculate l.
-5, 4
Suppose -338 = -28*w + 82. Let q be 7/(((-1050)/(-20))/w). Suppose 2*m**q + 3/4 + 11/4*m = 0. What is m?
-1, -3/8
Suppose 643*q - 645*q - 12 = 0. Let v(i) = 13*i**3 + 18*i**2 - 6*i. Let f(n) = 15*n**3 + 20*n**2 - 7*n. Let t(j) = q*f(j) + 7*v(j). Factor t(r).
r**2*(r + 6)
Let l(q) be the second derivative of 352/9*q**3 + 1/30*q**5 - 35/18*q**4 + 138*q - 256*q**2 + 0. Find m, given that l(m) = 0.
3, 16
Suppose 21 = 91*h - 84*h. Suppose 8*i - 17 = h*i - 3*d, 3*i = -d + 11. Find u, given that 0 - 8/3*u**3 + 4/3*u**i - 4/3*u**2 + 2*u**5 + 2/3*u = 0.
-1, 0, 1/3, 1
Let k = -454 - -437. Let f be 68/k + 210/51. Factor 2/17*j**3 + 0 - f*j**4 + 4/17*j**2 + 0*j.
-2*j**2*(j - 2)*(j + 1)/17
Let t(d) be the second derivative of d**7/105 + d**6/5 + 39*d**5/25 + 89*d**4/15 + 59*d**3/5 + 63*d**2/5 - 2827*d + 3. What is n in t(n) = 0?
-7, -3, -1
Let f be (0 + 4)*((-117)/12)/(-13). Factor -1198*d - 58*d**2 - 3*d**f + 3698 + 232*d**2 + d**3 - 2941*d + 269*d.
-2*(d - 43)**2*(d - 1)
Let y(i) = -15*i**3 + 92*i**2 + 555*i + 382. Let d(o) = 4*o**3 - 23*o**2 - 139*o - 94. Let j(s) = -11*d(s) - 3*y(s). Factor j(g).
(g - 28)*(g + 1)*(g + 4)
Let h(m) be the first derivative of -338/9*m + 13 - 2/3*m**3 + 26/3*m**2. Factor h(i).
-2*(3*i - 13)**2/9
Let 2/9*a**3 + 0*a**2 - 32/3 - 56/9*a = 0. Calculate a.
-4, -2, 6
Let q(l) be the third derivative of l**5/420 + 9*l**4/7 + 424*l**3/21 - 17*l**2 + 77*l. Solve q(o) = 0 for o.
-212, -4
Suppose -2/13*q**3 - 28/13*q - 66/13*q**2 + 36/13*q**4 + 0 = 0. What is q?
-1, -1/2, 0, 14/9
Let y(g) = -4*g**2 + 1158*g + 43996. Let a be y(-34). Factor 3/2*i**3 + a - 3*i**2 - 9/2*i.
3*i*(i - 3)*(i + 1)/2
Let t(w) = w**5 - 50*w**4 - 5*w**3 + 46*w**2 - 8*w. Let u(c) = 2*c**5 - 101*c**4 - 11*c**3 + 92*c**2 - 18*c. Let b(v) = -9*t(v) + 4*u(v). Factor b(p).
-p**2*(p - 46)*(p - 1)*(p 