p*h + 2/3*h**2 = 0. Calculate h.
-1, 0
Let j(z) = 3*z**4 + 9*z**3 - 6*z**2 - 2*z - 2. Let g(p) = 10*p**4 + 28*p**3 - 17*p**2 - 7*p - 7. Let l = 14 + -12. Let o(w) = l*g(w) - 7*j(w). Factor o(r).
-r**2*(r - 1)*(r + 8)
Let g be (1004/(-184) + 0)*284 + -5. Let l = g - -1555. Factor 2/23*p + l*p**2 + 6/23*p**3 + 0.
2*p*(p + 1)*(3*p + 1)/23
Suppose 2*b - 116 = 5*h, 7*b - 65*h - 36 = -66*h. Factor -2*r**2 + 8/3*r + b - 2/3*r**3.
-2*(r - 2)*(r + 2)*(r + 3)/3
Let g be (8/(-20))/((-19)/(-22838)). Let u = g - -484. Determine r so that 0 - 6/5*r**5 + u*r**4 + 2/5*r + 0*r**2 - 12/5*r**3 = 0.
-1/3, 0, 1
Let v(s) be the second derivative of s**7/56 + s**6/5 - 3*s**5/80 - s**4/2 - 745*s. Let v(z) = 0. Calculate z.
-8, -1, 0, 1
Let j(w) be the third derivative of -w**7/70 + 47*w**6 - 66270*w**5 + 51911500*w**4 - 24398405000*w**3 - 680*w**2. What is t in j(t) = 0?
470
Let n(v) be the second derivative of -3*v**2 + 1/450*v**5 - 32*v + 0 + 0*v**3 - 1/180*v**4 + 1/450*v**6. Let j(a) be the first derivative of n(a). Factor j(i).
2*i*(i + 1)*(2*i - 1)/15
Let u(h) be the third derivative of -43*h**5/10 + 131*h**4/12 - 2*h**3/3 - 7081*h**2. Factor u(w).
-2*(w - 1)*(129*w - 2)
Let a = 6236 - 5238239/840. Let i(p) be the third derivative of 0*p**4 - 1/60*p**5 + 0*p**6 + 0 + a*p**7 + 0*p + 16*p**2 + 0*p**3. Factor i(c).
c**2*(c - 2)*(c + 2)/4
Suppose -x + 5*b = 21, -22*b + 114 = -10*x + 11*x. Let n(r) be the second derivative of -5/24*r**3 - 1/4*r**2 - 9*r + 1/24*r**x + 1/16*r**5 + 0. Factor n(g).
(g - 1)*(g + 1)*(5*g + 2)/4
Let m(k) be the second derivative of 0*k**2 - 81*k - 1/90*k**6 + 2/15*k**5 + 2/3*k**3 - 19/36*k**4 + 0. Factor m(p).
-p*(p - 4)*(p - 3)*(p - 1)/3
Let p(b) = 13*b**2 - 97*b - 42. Suppose -13 = -4*r - 5. Suppose 0 = 34*a - 88 - 14. Let h(o) = -12*o**2 + 96*o + 42. Let z(v) = a*p(v) + r*h(v). Factor z(w).
3*(w - 7)*(5*w + 2)
Let b(n) be the second derivative of -n**4/4 + 302*n**3 - 136806*n**2 - 773*n. Suppose b(f) = 0. Calculate f.
302
Factor 1/3*g**3 + 300 - 11/3*g**2 - 80/3*g.
(g - 10)**2*(g + 9)/3
Suppose -1939*i + 4*u = -1936*i + 18, -2*i - 5*u + 34 = 0. Find c, given that -2/11*c**i - 4/11 - 6/11*c = 0.
-2, -1
Let q = -678 - -680. What is d in -25*d**4 - 357*d - 2*d**4 - 303*d**3 - 579*d**q - 32 + 12 - 34 = 0?
-9, -1, -2/9
Let x(y) be the third derivative of 5*y**8/1008 - 11*y**7/210 + 41*y**6/360 - y**5/60 - 5*y**4/36 + 2*y**2 - 390. Let x(v) = 0. Calculate v.
-2/5, 0, 1, 5
Let w(v) be the first derivative of 49/30*v**3 + 13*v**2 + 0*v - 43 - 7/60*v**4 + 1/300*v**5. Let k(r) be the second derivative of w(r). Factor k(b).
(b - 7)**2/5
Let x(u) be the first derivative of -39 - 9/4*u**4 - 9/5*u**5 - u**3 - 1/2*u**6 + 0*u**2 + 0*u. Let x(d) = 0. Calculate d.
-1, 0
Let m be ((-85)/765)/((-4)/(-54))*(-16)/5. Find g, given that 0 - 72/5*g + m*g**2 - 2/5*g**3 = 0.
0, 6
Let r(o) be the first derivative of 2*o**6/15 - 2*o**5/5 - o**4/3 + 4*o**3/3 - 17*o + 47. Let m(q) be the first derivative of r(q). Factor m(i).
4*i*(i - 2)*(i - 1)*(i + 1)
Factor -23/3*f**2 - 19 + 79/3*f + 1/3*f**3.
(f - 19)*(f - 3)*(f - 1)/3
Let u(a) be the second derivative of -1/50*a**5 + 1/300*a**6 + a + 3/2*a**2 + 0 + 0*a**3 + 1/30*a**4. Let g(s) be the first derivative of u(s). Factor g(i).
2*i*(i - 2)*(i - 1)/5
Let g(n) be the third derivative of -n**6/480 - n**5/80 + 5*n**4/48 + n**3 + 2*n**2 - 7260*n. Determine k, given that g(k) = 0.
-4, -2, 3
Let g = -1620803 + 1620803. Let y(j) = -j + 8. Let q be y(5). Find d, given that g + 1/6*d**q - d + 1/6*d**2 = 0.
-3, 0, 2
Let k be (-16 - -12 - -4)/(-1)*(-10)/(-20). Let 4/5*q**4 - 2/5*q**3 - 2/5*q**5 + 0*q + 0*q**2 + k = 0. Calculate q.
0, 1
Let t = 461 + -229. Suppose -355 - t*w - 4*w**4 - 88*w**3 - 84*w**2 + 279 - 156*w**2 = 0. Calculate w.
-19, -1
Let f(r) be the third derivative of -r**6/40 + 13*r**5/10 - 47*r**4/2 + 140*r**3 + 2*r**2 - r - 892. Factor f(d).
-3*(d - 14)*(d - 10)*(d - 2)
Find n, given that -18*n**4 + 0*n**2 + 1/2*n**5 - 37/2*n**3 + 0 + 0*n = 0.
-1, 0, 37
Let x = 712/31 + -24858/1085. Let d(i) be the first derivative of 9 + 4/7*i + x*i**5 + i**2 + 5/14*i**4 + 6/7*i**3. Find l, given that d(l) = 0.
-2, -1
Suppose -i - 148*x = -149*x + 3, 2*i - x = -1. Let f(u) be the first derivative of 27 + 18*u**i - 24*u - 9/4*u**4 + 3/5*u**5 - 2*u**3. Let f(h) = 0. What is h?
-2, 1, 2
Let k(z) = -4*z**2 - z - 10. Let d(g) = 2*g**2 + 4. Suppose -102*i - 28 = -88*i. Let l(w) = i*k(w) - 5*d(w). Solve l(m) = 0.
0, 1
Let m = -249 - -253. Solve -139*r**3 + 271*r**3 + 2*r**4 - m*r**2 - 134*r**3 = 0 for r.
-1, 0, 2
Factor 1/3*q**2 - 62*q + 0.
q*(q - 186)/3
Suppose 4*s + 2*w = -2*w - 180, -5*s - 195 = -w. Let u = s + 47. Factor 36 + 4*c**4 - 31*c**2 + u*c**3 + 25*c**3 + 96*c + 119*c**2.
4*(c + 1)**2*(c + 3)**2
Let v = 369 + -365. Let 5*g**2 + 5*g**2 - 3*g**3 - 10*g**2 + 7*g**4 - 4*g**v = 0. Calculate g.
0, 1
Find o such that 54/5*o**3 - 2*o**4 + 0 + 8*o**2 - 24/5*o = 0.
-1, 0, 2/5, 6
Determine k, given that -166/9*k + 167/9*k**2 + 0 - 1/9*k**3 = 0.
0, 1, 166
Let j(k) = 125*k**4 + 70*k**3 - 2580*k**2 - 7840*k. Let d(i) = 9*i**4 + 5*i**3 - 184*i**2 - 560*i. Let f(s) = 55*d(s) - 4*j(s). Suppose f(w) = 0. What is w?
-4, 0, 7
Let s(z) = -z**3 + z**2 - z - 2. Let u(d) = -3*d**4 - 28*d**3 - 83*d**2 - 29*d + 14. Let p(w) = 7*s(w) + u(w). Find r, given that p(r) = 0.
-9, -2, -2/3, 0
Let j(d) be the third derivative of d**5/360 + 59*d**4/48 + 44*d**3/9 + 3618*d**2. Factor j(k).
(k + 1)*(k + 176)/6
Let v(u) = 3*u**2 - 54*u - 45. Let j be v(19). Solve 64 + j*h - 6*h**3 + 49 - 128 - 22*h**4 + 48*h**2 - 6*h**5 - 11*h**4 = 0 for h.
-5, -1, 1/2, 1
Suppose 4*g - 2676 = -5*i, 3*g = -7*i + 10*i - 1584. Let c = 2668/5 - i. Factor -c*j + 12/5 - 4/5*j**2.
-4*(j - 1)*(j + 3)/5
Let b = -1667 + 1671. Let o be ((-240)/100)/(b + (-34)/5). Factor -4/7 + o*q + 10/7*q**2.
2*(q + 1)*(5*q - 2)/7
Determine f, given that -16/5*f**5 - 476/5*f**3 + 0 - 244/5*f**4 - 104/5*f**2 + 0*f = 0.
-13, -2, -1/4, 0
Let c(g) be the third derivative of g**5/180 - 11*g**4/4 + 197*g**3/18 - 36*g**2 + 27*g. Factor c(v).
(v - 197)*(v - 1)/3
Let f = -279/419 + 1256/1257. Factor -2/3 + 1/3*b**2 + f*b.
(b - 1)*(b + 2)/3
Determine k, given that -22*k**3 - 860*k**2 - 7000 + 1/4*k**5 - 5100*k + 9/2*k**4 = 0.
-10, -2, 14
Let p(x) be the first derivative of -5*x**4/4 + 60*x**3 - 1645*x**2/2 + 1470*x - 7882. Determine h so that p(h) = 0.
1, 14, 21
Let d = 737 - 429. Let -d*l**2 + 180*l**2 + 1 + 161*l**2 - 34*l = 0. What is l?
1/33, 1
Suppose -52068 + 24*x - 2*x**2 + 17673 + 17385 + 17388 = 0. Calculate x.
-9, 21
Let u(o) be the first derivative of 1/51*o**6 - 7/34*o**4 + 0*o - 26 - 10/17*o**3 + 18/17*o**2 + 6/85*o**5. Find d, given that u(d) = 0.
-3, 0, 1, 2
Let y(j) = 2*j**3 + j. Let q(m) = 3*m**3 - m**2. Suppose 0 = 2*w - 2*d + 14 - 42, 3*d = 4*w - 51. Suppose w*r = 2 - 29. Let s(f) = r*q(f) + 4*y(f). Factor s(i).
-i*(i - 4)*(i + 1)
Let u(k) be the second derivative of k**6/60 - 121*k**5/40 + 434*k**4/3 + 961*k**3 + 2*k - 1233. Let u(b) = 0. Calculate b.
-3, 0, 62
Solve -1156/3*n + 334084/3 + 1/3*n**2 = 0 for n.
578
Factor -978*i**2 + 0*i**4 - 2208 + 3*i**4 - 48*i**3 - 56*i**3 - 10*i**3 - 2712*i - 66*i**2.
3*(i - 46)*(i + 2)**2*(i + 4)
Let v(g) = g**3 + 10*g**2 + 18*g + 97. Let a be v(-9). Let o(b) be the first derivative of 0*b - 1/3*b**4 + 0*b**3 + a + 2/3*b**2. Factor o(c).
-4*c*(c - 1)*(c + 1)/3
Let 32/9*h**2 + 0 - 10/9*h - 4*h**3 - 2/9*h**5 + 16/9*h**4 = 0. What is h?
0, 1, 5
Suppose -23*v + 18 = -17*v. Suppose 3*l = h + 12, 0*l + 9 = -2*h + v*l. What is j in 8/3*j**2 + 4/3 + 10/3*j + 2/3*j**h = 0?
-2, -1
Let g(k) be the first derivative of 2*k**5/5 - 3*k**4/2 - 64*k**3/3 - 60*k**2 - 64*k + 1640. Let g(f) = 0. Calculate f.
-2, -1, 8
Factor 22*m**3 + 0 - 1/5*m**4 + 11236/5*m - 3233/5*m**2.
-m*(m - 53)**2*(m - 4)/5
Let c(w) be the first derivative of 4*w**6/21 - 1038*w**5/35 + 8385*w**4/7 + 8450*w**3/21 - 2700. Factor c(y).
2*y**2*(y - 65)**2*(4*y + 1)/7
Suppose -12*q = -0*q - 96. Suppose 0 = -2*y + q*y - 30. Factor 2*d**y + 21*d**3 + 19*d**3 + 18*d**3 - 64*d**3 + 4*d**2.
2*d**2*(d - 1)**2*(d + 2)
Let j(t) be the third derivative of t**6/240 - 13*t**5/120 - 17*t**4/12 - t**2 + 2609*t - 2. Let j(l) = 0. Calculate l.
-4, 0, 17
Let c(a) = a - 76*a**3 - 81*a**3 - 3 - 17*a**2 + 165*a**3 + 8. Let t(