(y) = 0.
1, 2, 62
Let r = 279 - 315. Let a be (116/(-8) - 2)*r/63. Factor -a*s**2 - 27/7 + 24/7*s**3 + 72/7*s - 3/7*s**4.
-3*(s - 3)**2*(s - 1)**2/7
Let f = 5164033195/7941612 + 2/1985403. Let -51/2*c - 1/4*c**2 - f = 0. What is c?
-51
Factor 228 - 710182*w**2 + 3*w**3 + 710287*w**2 - 94*w - 242*w.
3*(w - 2)*(w - 1)*(w + 38)
Let p be 13 + 7 - (24 + -4). Let h(c) be the third derivative of 23*c**2 + p*c + 1/18*c**5 + 0 - 5/9*c**3 + 25/48*c**4. Suppose h(r) = 0. Calculate r.
-4, 1/4
Let v(n) = 10*n**3 - 6164*n**2 + 12400*n + 8. Let o(j) = 14*j**3 - 8219*j**2 + 16536*j + 11. Let i(s) = -8*o(s) + 11*v(s). Solve i(t) = 0.
-1028, 0, 2
Let t = -8376778/17 - -492772. Suppose t*p + 110/17*p**3 - 116/17 + 2/17*p**4 - 342/17*p**2 = 0. Calculate p.
-58, 1
Let u(f) = 3*f**3 - 6*f**2 - 155*f + 440. Let j be u(3). Factor 2/11*x**j - 10 - 12/11*x.
2*(x - 11)*(x + 5)/11
Let x(d) = 4*d**3 - 972*d**2 + 900*d + 17. Let y(o) = o**3 - 242*o**2 + 225*o + 4. Let i(c) = -12*x(c) + 51*y(c). Factor i(h).
3*h*(h - 225)*(h - 1)
Let d(q) be the third derivative of -q**8/112 - q**7/5 + 69*q**6/40 + 31*q**5/2 + 11*q**4/2 - 204*q**3 + 5019*q**2. Let d(h) = 0. Calculate h.
-17, -2, 1, 6
Suppose -5*g + 98 + 634 = -4*y, 4*y + 3*g + 732 = 0. Let r = 921/5 + y. Solve 0*w**2 - 3/5*w**5 + 0 + 0*w - 3/5*w**3 + r*w**4 = 0 for w.
0, 1
Factor 2/13*q**2 + 2/13*q - 60/13.
2*(q - 5)*(q + 6)/13
Let l(a) be the first derivative of 0*a**3 + 0*a**2 + 117 + 0*a + 75/32*a**4 - 1/16*a**6 + 0*a**5. Factor l(p).
-3*p**3*(p - 5)*(p + 5)/8
Suppose o + 0*o + 4 = 0. Let q be (3 - o/(-4)) + 81. Find r such that -2*r**2 + q + 88 - 171 + 8*r = 0.
0, 4
Suppose 3*p + 4*a = 7, -4*p + a + 5 = -17. Suppose 4*j - 2 = 3*m, 7*j = p*m + 2*j. Suppose 2/9 + 0*q**m - 2/9*q**4 + 4/9*q - 4/9*q**3 = 0. Calculate q.
-1, 1
Let k = -270230 + 270232. Suppose -2/11*f**5 + 2*f**3 + 2/11*f**4 + 52/11*f - 16/11 - 58/11*f**k = 0. Calculate f.
-4, 1, 2
Let q = 1/10542 + -697283/52710. Let h = q + 69/5. What is k in 0*k**2 + 4/7*k**3 + 2/7*k**4 - 2/7 - h*k = 0?
-1, 1
Suppose -354*u = -357*u - r + 28, 0 = -5*r - 10. Factor -15/2*t - u*t**2 + 0.
-5*t*(4*t + 3)/2
Let v(d) = d**3 - 4*d**2 - 141*d + 864. Let s be v(9). Find n such that 36/5*n**2 - 14/5*n**4 + 122/5*n**3 + 0 + s*n = 0.
-2/7, 0, 9
Let l(h) be the third derivative of -1/360*h**6 + 0*h + 0 - 13*h**2 + 1/20*h**5 - 3/8*h**4 + 4*h**3. Let a(n) be the first derivative of l(n). Factor a(q).
-(q - 3)**2
Suppose -5*p + 3*x + 23 = 7, -4*x = -12. Let i(d) be the third derivative of -1/12*d**p - 21*d**2 + 0*d - 5/6*d**4 + 0 - 5/2*d**3. Factor i(o).
-5*(o + 1)*(o + 3)
Let m be ((-10)/(70/63))/(12/(-4)). Let s(v) be the first derivative of -2/19*v + 6/19*v**2 - 10/57*v**m + 2. Factor s(x).
-2*(x - 1)*(5*x - 1)/19
Let b(k) be the second derivative of k**6/10 - 21*k**5/20 + 11*k**4/4 - 5*k**3/2 + 515*k - 4. Find q such that b(q) = 0.
0, 1, 5
Let h(c) be the first derivative of -c**3/21 - 53*c**2/14 - 240*c/7 + 645. Determine w, given that h(w) = 0.
-48, -5
Let s be 14/(-98) + (91563/126)/(-1). Let z = 728 + s. What is p in z*p**4 - 1/3*p**3 - 4/3*p + 2/3 - 7/2*p**2 = 0?
-1, 2/7, 2
Let z = 704 - 236543/336. Let p(g) be the third derivative of -1/210*g**7 + 0*g**4 + 1/60*g**5 - 1/120*g**6 + 0 + 20*g**2 + 0*g + z*g**8 + 0*g**3. Factor p(t).
t**2*(t - 1)**2*(t + 1)
Let y = 13402 - 13399. Let c(m) be the second derivative of 0*m**2 - 1/120*m**6 - 7*m - 1/20*m**5 + 0 + 1/48*m**4 + 1/6*m**y. What is x in c(x) = 0?
-4, -1, 0, 1
Factor 0*p + 1/8*p**5 - 1/8*p**4 - 1/4*p**3 + 0*p**2 + 0.
p**3*(p - 2)*(p + 1)/8
Let t = -787/690 - -27/23. Let z(f) be the third derivative of -1/60*f**6 + 1/6*f**4 + 0 + 0*f**3 + t*f**5 + 0*f + 7*f**2. Determine h so that z(h) = 0.
-1, 0, 2
Let r(k) be the first derivative of -7*k**4 + 14/9*k**6 - 166 - 8/5*k**5 + 0*k + 16/9*k**3 + 8*k**2. Let r(w) = 0. Calculate w.
-1, 0, 6/7, 2
Let a = 8207/42718 + -28/403. Let v = a - -69/1166. Determine k so that 2/11*k**2 - v + 0*k = 0.
-1, 1
Let k(f) be the second derivative of -f**4/24 + f**3/12 + 91*f**2/2 + 3885*f. Factor k(b).
-(b - 14)*(b + 13)/2
Suppose l - 43*j = -39*j - 52, 0 = 4*l + 5*j - 65. Find x such that -24*x + 18*x**2 + l - 9/2*x**3 + 3/8*x**4 = 0.
0, 4
Suppose 8 = 4*h + 38 - 10. Let n(f) = f**3 + f**2 - f. Let j(i) = -5*i + 7*i**2 + 7*i**3 + 3*i**3 + 3*i**2. Let u(x) = h*n(x) + j(x). Find p such that u(p) = 0.
-1, 0
Suppose -236/7*m**2 - 106/7*m + 8/7 - 122/7*m**3 = 0. What is m?
-1, 4/61
Let -22975 - 800*m + 218*m**2 + 54*m**2 - 9025 - 277*m**2 = 0. What is m?
-80
Let u(s) be the first derivative of s**4/12 + 7*s**3/9 - 4*s**2/3 - 63. Solve u(t) = 0.
-8, 0, 1
Let j = 126 + -14. Let x = j + -445/4. Factor -9/4*a**2 + x*a**4 - 3/4*a**3 + 3/2 + 3/4*a.
3*(a - 2)*(a - 1)*(a + 1)**2/4
Let k(z) = z**3 - 34*z**2 - 6*z + 65. Let h be k(34). Let b = -136 - h. Let -2/9*t**b - 2/3 - 2/9*t**2 + 10/9*t = 0. What is t?
-3, 1
Let u(d) be the first derivative of 2*d**2 - 4/3*d**3 + 27 - 1/30*d**5 + 0*d - 1/3*d**4. Let j(o) be the second derivative of u(o). Factor j(w).
-2*(w + 2)**2
Suppose -5*u = -4*r + 18, -196*r = 2*u - 199*r + 17. Solve -1/2*h + 0 - 11/4*h**u = 0.
-2/11, 0
Factor -4*b**2 - 11*b**2 + 95*b**3 - 21*b + 38 - 3*b**2 - 94*b**3.
(b - 19)*(b - 1)*(b + 2)
Suppose 0*a + 6*a = -72. Let k = 12 + a. Factor 4*b + 0*b - 8*b**2 - 2 + k*b**2 + 6*b**2.
-2*(b - 1)**2
Let c(g) be the second derivative of g**4/132 - 435*g**3/11 + 1703025*g**2/22 - 643*g + 1. Determine m, given that c(m) = 0.
1305
Let l(v) = 14*v + 9. Let g be l(0). Let f be (g/36)/((-10)/(-24)). Factor -f - 6/5*o**2 + 9/5*o.
-3*(o - 1)*(2*o - 1)/5
Let q(d) = 2*d**2 + 2*d - 17. Let c(p) = -p**2 - p + 6. Suppose 3 = -u - 12. Let b(z) = 2*z + 36. Let f be b(u). Let x(w) = f*q(w) + 17*c(w). Factor x(i).
-5*i*(i + 1)
Suppose 0*s = 3*s - 3*p - 207, 2*s - 152 = -5*p. Suppose -s*r = -70*r - 4. Find j, given that -3/5*j**r - 27/5*j**2 + 0 + 0*j + 18/5*j**3 = 0.
0, 3
Let p be -3*(-2796)/(-540)*(0 - -71). Let g = 1103 + p. Factor 0*k - 2/15 + g*k**2.
2*(k - 1)*(k + 1)/15
Let d be (0 - 1)*((-226)/48 - ((-20925)/(-248))/(-225)). Let v be (-6)/(-8) + 10/(-24). Determine w, given that -d*w + 0 + v*w**2 = 0.
0, 13
Let o(l) = -3*l**3 - 43*l**2 - 133*l + 151. Let s be o(-7). What is q in -3/2*q**5 + 9/2*q**3 - 3*q - 3/2*q**2 + 0 + 3/2*q**s = 0?
-1, 0, 1, 2
Let u(h) = 12*h**3 + 40*h**2 + 72*h + 44. Let t(c) = -11*c**3 - 41*c**2 - 74*c - 45. Let k(g) = 4*t(g) + 3*u(g). Factor k(m).
-4*(m + 2)**2*(2*m + 3)
Let k(q) be the third derivative of q**8/2352 - 3*q**7/490 + q**6/420 + 13*q**5/105 - q**4/7 - 32*q**3/21 - 2664*q**2. Determine u, given that k(u) = 0.
-2, -1, 2, 8
Let s be 12*(((-144)/15)/(-8) - 1). Suppose n - 4*n = l - 3, 0 = -3*l - n + 1. Factor l - 3/5*h**4 - 9/5*h**2 + 0*h - s*h**3.
-3*h**2*(h + 1)*(h + 3)/5
Suppose 0 = 4*m + 12, 3*f - 28*m + 24 = -25*m. Let v be f + 2 - 141/(-15). What is g in 2/5*g**2 + 1/5*g - 1/5*g**3 - v = 0?
-1, 1, 2
Factor 1/3*f**2 + 1/3*f + 0.
f*(f + 1)/3
Suppose 2*z - 1600 = 6*z - 5*v, z + 8*v + 437 = 0. Let x = z + 407. Solve 3/7*n**x - 18/7*n - 3 = 0.
-1, 7
Let b(y) = y**3 - 14*y**2 + 2. Let j be b(14). Factor -j + 26 + 140*g - 4 + 245*g**2.
5*(7*g + 2)**2
Let r be 22/(-32)*(-124)/341. Let 33/4*u**2 + 72*u + r*u**3 + 64 = 0. What is u?
-16, -1
Let l(t) = 13*t**3 - 533*t**2 + 2561*t - 949. Let c(k) = 40*k**3 - 1602*k**2 + 7684*k - 2850. Let a(n) = 3*c(n) - 10*l(n). Factor a(g).
-2*(g - 47)*(g - 5)*(5*g - 2)
Suppose -11*k - 59 = -3*z - 6*k, -4*z = 5*k + 38. Suppose 0*r - 3/2*r**5 + 9/2*r**4 + 0 + 3/2*r**2 - 9/2*r**z = 0. Calculate r.
0, 1
Let c(m) = 47*m - 7132. Let l be c(152). Let n(i) be the second derivative of 1/18*i**4 - 1/3*i**3 + l*i + 0 + 0*i**2. Factor n(b).
2*b*(b - 3)/3
Let j(d) be the third derivative of -d**8/1120 - 3*d**7/560 + 5*d**3/6 + 39*d**2 - 2*d. Let i(v) be the first derivative of j(v). Let i(f) = 0. What is f?
-3, 0
Let r = 30/23 + -427/345. Let u(o) be the third derivative of 7/120*o**4 + 0 - 13*o**2 + r*o**3 - 3/100*o**5 + 0*o. Factor u(b).
-(b - 1)*(9*b + 2)/5
Suppose g + 2*j - 485 = 0, 0*g + 3*j - 1443 = -3*g. Let o = -475 + g. Suppose 2/5*d**3 + 4/5*d**o - 2/5*d - 4/5 = 0. What is d?
-2, -1, 1
Suppose 23*w = -1740 + 1809. Let t(a) be the third derivative of 1/200*a**6 + 1/2*a**w + a**2 - 1/20*a**5 - 1/40*a**4 + 0 