*3*(h + 1)**2/7
Let i(n) be the second derivative of n**7/399 - 16*n**6/285 + 63*n**5/190 - 10*n**4/57 - 100*n**3/57 + 3926*n - 2. Find p such that i(p) = 0.
-1, 0, 2, 5, 10
Let k = -25440420 + 84334993178/3315. Let d = k - -2/1105. Factor 0*h - 2/5*h**3 + 0 - 2/15*h**4 - d*h**2.
-2*h**2*(h + 1)*(h + 2)/15
Suppose -50/7*v + 0 - 2/7*v**3 - 52/7*v**2 = 0. What is v?
-25, -1, 0
Suppose 0 = -2*l - 2*l + 12. Let a = 284 + -282. Factor -7*p**4 - 2*p**3 + 5*p**4 + 0*p**3 + 4*p**a + 4*p**l.
-2*p**2*(p - 2)*(p + 1)
Factor 0 - 1/5*u**3 - 296/5*u - 78/5*u**2.
-u*(u + 4)*(u + 74)/5
Factor -148/7*f**2 + 2/21*f**3 + 7168/3 + 1152*f.
2*(f - 112)**2*(f + 2)/21
Let b(l) be the first derivative of -l**5/80 - l**4/12 - l**3/8 + 5*l + 30. Let h(v) be the first derivative of b(v). Factor h(t).
-t*(t + 1)*(t + 3)/4
Let i(t) be the third derivative of t**5/80 + 35*t**4/32 + 33*t**3 + 5*t**2 + 3*t + 45. Factor i(z).
3*(z + 11)*(z + 24)/4
Let s = -1486 + 1493. Let b be 1*(s + (-88)/12) + 3. Determine r, given that b - 8/3*r**3 + 32/3*r - 2/3*r**2 = 0.
-2, -1/4, 2
Suppose 21*s + 10 = r + 18*s, 4*s - 60 = -6*r. Let h be -3 - r*10/(-20). Factor 338/9 - 52/9*x + 2/9*x**h.
2*(x - 13)**2/9
Let j = -106 - -109. Determine w so that 7*w**2 - 3*w - j*w**3 + 15 + 2*w - 4*w - 14 = 0.
1/3, 1
Let n(s) = -2*s**2 - 19*s - 20. Let a be n(-8). Let c be 1/a*-3 - (-748)/272. Suppose -2/17*h**4 + 2/17*h**c + 2/17*h**5 + 0*h + 0 - 2/17*h**3 = 0. What is h?
-1, 0, 1
Let u(i) be the second derivative of -i**6/270 - 7*i**5/180 - i**4/12 - 31*i**3/3 - i**2/2 + 4*i - 4. Let h(g) be the second derivative of u(g). Factor h(l).
-2*(l + 3)*(2*l + 1)/3
Let k = -38 + 55. Let r(x) = -x**3 + 18*x**2 - 16*x - 14. Let w be r(k). Determine n so that 6 + w*n**2 - 32*n - 23*n + 64*n = 0.
-2, -1
Factor -390/11*i**2 + 0 + 2/11*i**3 - 108*i.
2*i*(i - 198)*(i + 3)/11
Let j be 9/(-4) - 10962/(-4872). Factor 338/9*r + 2/9*r**3 + 52/9*r**2 + j.
2*r*(r + 13)**2/9
Let i(j) be the first derivative of -2*j**6/3 - 8*j**5/5 + 48*j**4 + 392*j**3/3 + 98*j**2 - 411. Find s such that i(s) = 0.
-7, -1, 0, 7
Find n such that 132/17 + 266/17*n - 1606/17*n**3 - 1448/17*n**2 - 24/17*n**4 = 0.
-66, -1, -1/4, 1/3
Let n(a) = -8*a**2 - 45*a + 107. Let x(t) = 12*t**2 + 68*t - 160. Let r be 3 - 95/35 - 54/(-7). Let l(w) = r*n(w) + 5*x(w). Find q, given that l(q) = 0.
-7, 2
Let j = 138 + -148. Let f be ((-222)/(-18) + j)/(21/18). Find v such that -32/9*v + 128/9 + 2/9*v**f = 0.
8
Let i(z) be the first derivative of -32/3*z + 1/3*z**4 + 69 + 4/3*z**2 + 20/9*z**3. Factor i(p).
4*(p - 1)*(p + 2)*(p + 4)/3
Let k(p) be the third derivative of p**6/540 + 7*p**5/45 + 3*p**4/4 + 37*p**3/3 + p**2 - 7*p. Let x(i) be the first derivative of k(i). Solve x(g) = 0.
-27, -1
Let o(c) be the second derivative of -1/18*c**4 - 22/9*c**3 - 4 - 121/3*c**2 + 14*c. Factor o(y).
-2*(y + 11)**2/3
Let s(y) = 8*y**2 - 11*y + 205. Let h(f) = 2*f**2 - f + 51. Let i(m) = -26*h(m) + 6*s(m). Factor i(v).
-4*(v + 4)*(v + 6)
Find s such that 3582*s**3 - 272*s**5 - 1554*s**5 - 18000*s**4 + 80 - 159*s**2 + 690*s - 14492*s**3 + 4*s**2 - 254*s**5 = 0.
-8, -1/2, -1/4, -2/13, 1/4
Suppose 4501429*c = 4501449*c - 40. Factor 0 + 37/2*a**c + 18*a + 1/2*a**3.
a*(a + 1)*(a + 36)/2
Let f(l) = -2*l + 33. Let w be f(10). Suppose 5*h + w = b, b + 0*h - 5 = h. Determine k, given that 5*k**5 + 2*k**4 + 37*k**3 - 62*k**b + 0*k**5 - 22*k**4 = 0.
-1, 0, 5
Determine i, given that 3584 + 380/7*i**3 - 7136/7*i**2 - 6/7*i**4 + 4672*i = 0.
-2/3, 8, 28
Let g = 5734443 + -8114236234/1415. Let o = g - 9/283. Find k, given that -2/15*k**4 + 2/5*k**3 - o*k + 2/15*k**2 + 0 = 0.
-1, 0, 1, 3
Suppose -4*i**2 + 1810*i - i**2 - 471901 + 475541 = 0. What is i?
-2, 364
Let p(q) be the second derivative of -q**5/20 - 2*q**4/3 + 114*q**3 + 4536*q**2 - 8422*q. Factor p(a).
-(a - 28)*(a + 18)**2
Let q be 26 + -5 - (-4 + -2 - -2). Let x(j) be the first derivative of q + 11/16*j**4 + 15/8*j**2 + 1/2*j + 2*j**3. Factor x(b).
(b + 1)**2*(11*b + 2)/4
Let b(p) be the first derivative of -p**7/70 + 3*p**6/10 + 91*p**2/2 - 13. Let x(f) be the second derivative of b(f). What is v in x(v) = 0?
0, 12
Let a(v) be the first derivative of 1/54*v**3 + 24*v + 39 - 1/9*v**2 + 1/108*v**4. Let k(l) be the first derivative of a(l). Let k(s) = 0. Calculate s.
-2, 1
Let a(v) be the second derivative of -29*v**6/15 + 61*v**5/20 + 55*v**4/12 - 61*v**3/6 + 3*v**2/2 + 1060*v. Factor a(h).
-(h - 1)**2*(h + 1)*(58*h - 3)
Let b(k) be the third derivative of 49*k**6/480 - 1547*k**5/80 - 225*k**4/2 - 776*k**3/3 - 2825*k**2. Factor b(t).
(t - 97)*(7*t + 8)**2/4
Let j = -32254 - -32256. Let o(h) be the second derivative of 1/18*h**4 - j*h**2 - 10*h + 0 - 1/9*h**3. Solve o(z) = 0.
-2, 3
Let m(k) be the third derivative of k**7/105 + 37*k**6/60 + 7*k**5/3 - 13*k**2 - k. Factor m(c).
2*c**2*(c + 2)*(c + 35)
Let m be (-24)/64 + 387/648. Let y = 88 + -790/9. Let -4/3 + m*c**2 - y*c = 0. Calculate c.
-2, 3
Let k be (-8)/(-2) + 1/(-1). Suppose -4*q - 12 = -4*y - 9*q, 0 = -3*y - 5*q + 9. Factor -342*x**k + 167*x**3 + 173*x**y - 2*x**2.
-2*x**2*(x + 1)
Find s, given that -3*s**2 - 2*s**2 - 124 + 789 + 660*s = 0.
-1, 133
Suppose -55*c + 52*c = -3. Let y(m) = -m**4 + m**3 + m. Let g(h) = -13*h**4 - 55*h**3 - 68*h**2 - 23*h. Let k(u) = c*y(u) - g(u). Find t such that k(t) = 0.
-3, -1, -2/3, 0
Determine q, given that 105 - 43/4*q + 1/4*q**2 = 0.
15, 28
Factor -16/3*y + 49/3*y**5 + 23/3*y**2 + 67/3*y**3 - 4/3 - 119/3*y**4.
(y - 1)**3*(7*y + 2)**2/3
Let k = 25 - 53. Let r be ((-10)/k*-8)/(14/(-49)). Factor -5*l**2 - r + 12*l - 2*l - 25*l.
-5*(l + 1)*(l + 2)
Let v = 717 - 691. Suppose -76 = -0*g - g. Solve -9*u**3 - 50 - g*u + v + 16*u - 42*u**2 = 0 for u.
-2, -2/3
Let i(n) be the first derivative of n**5/80 - n**4/16 + n**3/12 + 63*n - 243. Let u(f) be the first derivative of i(f). Determine x, given that u(x) = 0.
0, 1, 2
Determine x, given that -x**2 - 89/2*x - 249/2 = 0.
-83/2, -3
Let w(j) be the second derivative of -3*j**5/100 + 31*j**4/20 - 5*j**3 - 348*j**2/5 - 2965*j. Solve w(y) = 0 for y.
-2, 4, 29
Let p be (18/(-4))/((-15)/(-30)). Let o(t) = t**3 + 10*t**2 + 8*t - 5. Let n be o(p). Determine s so that 5/3*s**n + 40/3*s + 0 + 20*s**2 + 10*s**3 = 0.
-2, 0
Let p(w) be the third derivative of w**7/4200 + w**6/900 - w**5/150 - w**4/15 - 7*w**3/6 - 45*w**2. Let a(t) be the first derivative of p(t). Factor a(h).
(h - 2)*(h + 2)**2/5
Let c = -72618 - -72621. Determine f, given that 288*f + 3/2*f**c - 768 - 36*f**2 = 0.
8
Determine d so that 18*d**3 - 60 + 30*d**2 + 20*d**2 + 226*d + 19*d**2 - 509*d + 256*d = 0.
-4, -5/6, 1
Let t(r) be the third derivative of r**8/1008 + r**7/105 - r**6/45 - r**5/30 + 7*r**4/72 + 121*r**2. Suppose t(g) = 0. What is g?
-7, -1, 0, 1
Let y(x) be the third derivative of -x**8/504 - x**7/105 + 13*x**6/180 + 17*x**5/30 + x**4 - 342*x**2 - 2. Determine a so that y(a) = 0.
-3, -1, 0, 4
Let i(x) be the first derivative of -x**3/6 - 441*x**2/2 - 881*x/2 + 10223. Factor i(m).
-(m + 1)*(m + 881)/2
Let v(i) = -42239*i - 422387. Let j be v(-10). Factor -13/8*k**j + 13/8*k - 5/8*k**2 + 5/8.
-(k - 1)*(k + 1)*(13*k + 5)/8
Let q(z) be the third derivative of z**8/1064 - 293*z**7/1995 - 1037*z**6/1140 + 143*z**5/30 + 505*z**4/114 - 29*z**2 - 15*z + 2. Suppose q(h) = 0. Calculate h.
-5, -1/3, 0, 2, 101
Let c(n) = -n**4 - 38*n**3 - 13*n**2 + 36*n. Let l(g) = -39*g**3 - 15*g**2 + 36*g. Let d(w) = -9*c(w) + 8*l(w). Factor d(f).
3*f*(f - 1)*(f + 3)*(3*f + 4)
Suppose 4*s - 25 = -s. Let j = -438 - -460. Factor 3*p - 6*p**3 + 2*p**4 - j*p**s + 24*p**5 + p - 2*p**2.
2*p*(p - 1)**2*(p + 1)*(p + 2)
Let q(c) be the second derivative of c**4/6 + 4*c**3 + 20*c**2 + 2956*c. Factor q(p).
2*(p + 2)*(p + 10)
Let p be (-72)/8 - (3 - 2)*-4. Let y be 1 + p/4 + (-1411)/(-332). Let h**2 + 845 + y*h**2 + 93*h - 19*h + 56*h = 0. What is h?
-13
Let g = 49449/5 + -148342/15. Factor g*f**2 + f - 10/3.
(f - 2)*(f + 5)/3
Let j(k) be the first derivative of -1/22*k**4 - 10/33*k**3 + 16/11*k - 2/11*k**2 - 36. Solve j(m) = 0 for m.
-4, -2, 1
Find q such that 1151*q**2 + 3092*q + 3*q**3 + 11609679 + 262*q**2 + 147408*q + 71341*q = 0.
-157
Let c be (33/(-7) + 5)/(8/1200616). Let g = 43018 - c. Factor 216*u**3 - g*u**4 - 2916/7*u**5 + 32/7*u + 0 - 400/7*u**2.
-4*u*(u + 1)*