6/120 + b**5/10 - 5*b**4/8 + 37*b**3/2 + 88*b. Let q(v) be the second derivative of i(v). Factor q(s).
3*(s - 1)*(s + 5)
Let y be (48 - 48)/((-1)/3 + (-14)/21). Find c such that y + 1/5*c**2 - 8/5*c = 0.
0, 8
Let o(w) be the second derivative of -25*w**7/42 - 14*w**6/3 + 169*w**5/4 + 305*w**4 - 1050*w**3 + 2*w - 1479. Suppose o(j) = 0. What is j?
-6, 0, 7/5, 5
Let n(a) = 2*a**2 - 31*a - 59. Let h be n(18). Suppose 45*k = -h*k + 85*k. Suppose k - 1/2*b**3 + 0*b + 1/2*b**2 = 0. What is b?
0, 1
Factor -206*s - 153 + 531*s - 3*s**3 - 130*s - 39*s**2.
-3*(s - 3)*(s - 1)*(s + 17)
Let s = -49 + 52. Suppose -s*h + 38 = 5*k - 33, -2*k = 3*h - 77. Find l, given that h*l**2 - 105*l**4 - 12 + 38*l - 138*l**3 - 12*l + 6*l + 16*l = 0.
-1, 2/7, 2/5
Let b be 5 + 60/50*(-50)/(-3). Let d(v) = -v. Let c(i) = -5*i**3 - 30*i**2 + 155*i + 1080. Let r(u) = b*d(u) - c(u). Determine j, given that r(j) = 0.
-6, 6
Let p(l) be the first derivative of l**8/336 - l**7/70 - l**6/24 + l**5/20 + l**4/6 - 103*l**2/2 + 101. Let t(u) be the second derivative of p(u). Factor t(n).
n*(n - 4)*(n - 1)*(n + 1)**2
Let g = 1/3088 + 24695/27792. Let f(i) be the first derivative of 9 - 2/3*i**2 - g*i + 1/9*i**4 + 0*i**3. Suppose f(n) = 0. Calculate n.
-1, 2
Let r(w) be the first derivative of w**6/165 - 43*w**5/330 - w**4/12 - 159*w**2/2 + 8. Let k(x) be the second derivative of r(x). Factor k(p).
2*p*(p - 11)*(4*p + 1)/11
Let l(b) = b**3 - b**2 - 3*b + 2. Let y be l(2). Let h be 0 + (11/44 - y). Factor -h*t + 3/8 - 1/8*t**2.
-(t - 1)*(t + 3)/8
Let l(p) = -p**2 + 13*p + 1. Let a(z) = 6*z**2 - 11*z - 117. Let o(u) = 2*a(u) + 10*l(u). Determine j, given that o(j) = 0.
-56, 2
Let x(y) = 3*y**3 + 19*y**2 + 36*y. Let k(v) = -2*v**3 - 18*v**2 - 36*v. Suppose 13*h = -137 + 72. Let j(u) = h*k(u) - 4*x(u). Factor j(c).
-2*c*(c - 9)*(c + 2)
Let n(j) = 6*j**3 + 30*j**2 - 38*j - 82. Let y(o) = 10*o**3 + 29*o**2 - 32*o - 81. Let l(k) = 3*n(k) - 2*y(k). Factor l(w).
-2*(w - 14)*(w - 3)*(w + 1)
Find q, given that q**5 + 1031472*q**2 + 93012192 + 12899*q**4 + 16864848*q + 25000*q**3 - 25707*q**4 + 13070*q**4 = 0.
-78, -14
Find s, given that 1348/7 + 4/7*s**3 + 386*s**2 + 578*s = 0.
-674, -1, -1/2
Let l(w) be the third derivative of -w**5/330 + 15*w**4/44 - 296*w**3/33 + 8880*w**2. Factor l(f).
-2*(f - 37)*(f - 8)/11
Suppose -4*q + 3 = -5*h, 481*q - 485*q - 2*h + 10 = 0. Factor 21/4*y - 3/4*y**q - 9.
-3*(y - 4)*(y - 3)/4
Let j(m) be the first derivative of -17*m**6/30 + 12*m**5/5 - 2*m**4/3 - 35*m**2/2 + 2*m - 282. Let a(h) be the second derivative of j(h). Factor a(w).
-4*w*(w - 2)*(17*w - 2)
Let f = 218839 + -218837. Determine s so that 18/5*s**f + 9/5*s**4 + 33/5*s**3 - 24/5 - 36/5*s = 0.
-2, -2/3, 1
Let x be 10 + -8 + 24/8. Factor -15*a**4 - 75*a**4 + 3*a**x + 7391*a + 759*a**3 - 6803*a - 1260*a**2.
3*a*(a - 14)**2*(a - 1)**2
Let d(y) be the third derivative of -y**8/33600 - y**7/2100 - y**5 - 27*y**2 + 1. Let j(i) be the third derivative of d(i). Find k such that j(k) = 0.
-4, 0
Let v = 633598/15 + -126716/3. Let 8/5*w**3 + 2/5*w**4 - 8/5 - 8/5*w + v*w**2 = 0. What is w?
-2, -1, 1
Suppose -a = 2*a - 4*b + 762, 4*a - 4*b + 1020 = 0. Let o = a + 980. Solve 12*l**2 - o + 4*l**4 + 722 + 16*l**3 = 0 for l.
-3, -1, 0
Let g(x) = 2*x**2 + 92*x + 60. Suppose -2*t + a = -2*a + 20, 0 = -2*t + 2*a - 20. Let d(l) = l**2 + 30*l + 20. Let f(p) = t*d(p) + 3*g(p). Factor f(u).
-4*(u + 1)*(u + 5)
Factor 6/5*g + 4/5 + 2/5*g**2.
2*(g + 1)*(g + 2)/5
Let r(z) be the second derivative of 5*z**4/12 + 14810*z**3/3 + 21933610*z**2 - 4365*z. Factor r(g).
5*(g + 2962)**2
Let d(x) be the first derivative of x**4/4 + 64*x**3/3 + 185*x**2/2 + 122*x - 1224. Solve d(t) = 0.
-61, -2, -1
Let a be 8/3 - 8/12. Let t be (-18)/30 + (-41)/(6970/(-357)). Determine h, given that -t*h**3 - 6 + 9/2*h**a + 0*h = 0.
-1, 2
Suppose -2*o = 30*o - 1120. Suppose 75*z - 2 - o*z**2 - 43 - 63109*z**3 + 63114*z**3 = 0. Calculate z.
1, 3
Let k(n) be the second derivative of -31*n**4/18 + 4*n**3/9 - 1605*n. What is y in k(y) = 0?
0, 4/31
Let g(t) = t**3 - 6*t**2 - 49*t + 93. Let w be g(10). Let f(r) be the second derivative of 0*r**w + 0*r**2 - 38*r + 1/10*r**5 + 0 - 1/21*r**4. Factor f(h).
2*h**2*(7*h - 2)/7
Let c(r) = -60*r**3 - 3010*r**2 - 10970*r - 10765. Let u(m) = 5*m**3 + 251*m**2 + 914*m + 897. Let n(w) = -3*c(w) - 35*u(w). Solve n(q) = 0 for q.
-45, -2
Suppose -p + 3*p + 4 = -2*o, 0 = -5*p - 2*o - 4. Let h be 0/(2 + (-5 - -1)). Determine c so that p*c**2 - 1/2*c**4 + 0 + 0*c**3 + h*c - 1/4*c**5 = 0.
-2, 0
Let f(t) = 6*t**3 - 18*t**2 + 42. Let d(u) = -3*u**3 + 9*u**2 - 20. Let b(v) = 9*d(v) + 4*f(v). Determine p so that b(p) = 0.
-1, 2
Let u(x) be the first derivative of -132 + 10/3*x**3 + 8*x + 1/2*x**4 + 8*x**2. Factor u(d).
2*(d + 1)*(d + 2)**2
Let x be ((12/10)/(-3))/(1280/(-1600)). Solve -20*q - 5*q**3 + x*q**4 + 33/2*q**2 + 8 = 0 for q.
1, 4
Let c(m) = -m**4 + m**3 + 12*m**2 + 8*m - 29. Let t(f) = -f**3 - 1. Let z be (5/(-7) - 8/28) + -2. Let w(p) = z*t(p) - c(p). Factor w(s).
(s - 2)**2*(s + 2)*(s + 4)
Let x = 452901/70 + -6470. Let u(m) be the third derivative of x*m**6 + 0*m + 0 + 8/21*m**3 - 7*m**2 + 13/105*m**5 + 8/21*m**4. Solve u(j) = 0 for j.
-2, -1/3
Let h(g) be the third derivative of g**5/450 + g**4/30 - 91*g**3/45 + 527*g**2. Factor h(k).
2*(k - 7)*(k + 13)/15
Let o = -73495/12 + 6125. Let g(l) be the second derivative of 0 - 10*l**2 + 18*l - 10/3*l**3 + 1/4*l**5 + o*l**4. Suppose g(d) = 0. What is d?
-2, -1, 2
Let v(b) be the first derivative of b**6/150 - b**4/20 + b**3/15 + 14*b + 63. Let r(s) be the first derivative of v(s). Let r(g) = 0. Calculate g.
-2, 0, 1
Let f be 3 + 3523/(-195) + 18. Let l(w) be the first derivative of -1/5*w**4 + 2/15*w**6 - f*w**3 + 12/25*w**5 - 16 - 24/5*w**2 - 16/5*w. Factor l(i).
4*(i - 2)*(i + 1)**3*(i + 2)/5
Let c(n) be the third derivative of n**5/180 - 17*n**4/12 + 485*n**3/18 + 17*n**2 + n - 10. Determine k so that c(k) = 0.
5, 97
Suppose -502 - 2/3*y**2 - 508/3*y = 0. Calculate y.
-251, -3
Let g be (-39)/2 + -33 + (-3300)/(-55). Determine h, given that -15/2*h**2 - 3/4*h + 3/4*h**3 + g = 0.
-1, 1, 10
Suppose 0 = -1818*t + 1807*t + 110. Suppose 2*d = 4*j - t, -41*d = -4*j - 36*d + 1. Factor 0*w - 2/3*w**2 + 0*w**3 + 1/3 + 1/3*w**j.
(w - 1)**2*(w + 1)**2/3
Factor -736/9*t + 176 + 4/9*t**3 - 4*t**2.
4*(t - 18)*(t - 2)*(t + 11)/9
Let u = -31/129 - -66/215. Let r(m) be the first derivative of u*m**5 + 4/3*m**2 - m + 0*m**4 - 2/3*m**3 + 24. Factor r(d).
(d - 1)**3*(d + 3)/3
Let z(q) be the third derivative of -9/8*q**4 + 4 - 2*q**3 - 3/10*q**5 + 0*q - 11*q**2 - 1/40*q**6. Factor z(r).
-3*(r + 1)**2*(r + 4)
Suppose 86*s + 48*s - 502 = 168. Let m(l) be the third derivative of 12*l**2 + 5/8*l**4 + 0*l + 0 - 3/20*l**s - l**3. Let m(a) = 0. What is a?
2/3, 1
Let n(l) = -l**2 + l + 23. Let i(y) = -8*y**2 - 272*y + 1249. Let s(h) = i(h) - 3*n(h). Suppose s(t) = 0. What is t?
-59, 4
Let s(o) be the second derivative of -o**6/900 + 43*o**5/300 + 11*o**4/15 - 83*o**3/6 + 153*o. Let n(p) be the second derivative of s(p). Solve n(t) = 0.
-1, 44
Let z(k) be the second derivative of -k**5/80 + 9*k**4/16 - 37*k**3/12 + 6*k**2 - 976*k. Determine t so that z(t) = 0.
1, 2, 24
Solve 105/4*z**3 + 0 - 25/4*z**5 + 95/2*z**4 - 20*z - 95/2*z**2 = 0.
-1, -2/5, 0, 1, 8
Let a(q) = q**2 - 27*q + 156. Let n be a(40). Factor 134*f**3 + 111*f**3 + 320*f - 116*f**2 + n*f**2.
5*f*(7*f + 8)**2
Let z(h) be the first derivative of 30 + 147/2*h**2 + 3/4*h**4 + 14*h**3 + 0*h. Determine c so that z(c) = 0.
-7, 0
Let l(h) = h**5 - h**4 - 40*h**3 + 1. Let a(j) = 31*j**5 - 466*j**4 + 1415*j**3 + 4360*j**2 - 1980*j + 6. Let d(m) = -a(m) + 6*l(m). Solve d(s) = 0 for s.
-2, 0, 2/5, 9, 11
Find a, given that -28/5*a**2 - 222/5*a**3 + 2*a**5 + 408/5*a - 24/5*a**4 - 144/5 = 0.
-3, -2, 2/5, 1, 6
Let p(j) be the third derivative of j**6/24 + 91*j**5/6 + 41405*j**4/24 + 3*j**2 - 233*j. Determine b so that p(b) = 0.
-91, 0
Let l(z) = -10*z**3 - z**2 - 2*z - 2. Let y(b) = -b**4 - 397*b**3 - 6*b**2 - 12*b - 12. Let v(r) = 30*l(r) - 5*y(r). Solve v(j) = 0.
-337, 0
Determine y so that -608*y - 16300/3*y**4 - 94813/6*y**2 - 1250/3*y**5 - 6 - 121301/6*y**3 = 0.
-6, -1, -1/50
Let f = 10928/16395 - -2/16395. Let f*o**3 - 20/3*o**2 - 16 + 56/3*o = 0. Wh