se r(a) = 0. Calculate a.
-1, 766
Let t be ((-15)/4)/(-5) + (-578)/(-136). Suppose -18 = -t*o + 4*a, -a + 32 = 4*o + 26. Factor -2 + 9/4*y - 1/4*y**o.
-(y - 8)*(y - 1)/4
Let c(i) be the third derivative of -3*i**7/70 - 8*i**6/5 + 563*i**5/60 - 155*i**4/12 + 8*i**3 + 81*i**2 + 29. Factor c(n).
-(n - 2)*(n + 24)*(3*n - 1)**2
Let y = -676857/5 + 135373. Find p such that 4/5*p**4 + 4/5*p**2 - y - 12/5*p**3 + 12/5*p = 0.
-1, 1, 2
Let u(d) be the first derivative of d**3/9 + 403*d**2/3 + 162409*d/3 - 1960. Factor u(m).
(m + 403)**2/3
Let b(w) be the first derivative of w**5/5 + 17*w**4/2 + 135*w**3 + 972*w**2 + 3024*w + 131. Find y such that b(y) = 0.
-12, -7, -3
Let k be 15/(90/8)*(-3)/(-48). Let v(u) be the second derivative of 2*u + 0*u**2 - k*u**4 + 1/3*u**3 + 0. Factor v(i).
-i*(i - 2)
Let n(y) be the first derivative of 7*y**6/8 - 3*y**5/10 - 63*y**4/16 + 5*y**3 - 3*y**2/2 + 1398. Find k, given that n(k) = 0.
-2, 0, 2/7, 1
Let l(x) be the second derivative of x**6/160 + x**5/80 - 3*x**4/8 + 31*x**2/2 + 46*x. Let c(h) be the first derivative of l(h). Factor c(b).
3*b*(b - 3)*(b + 4)/4
Let h(y) be the second derivative of y**3 + 0 + 3/80*y**5 - 5/16*y**4 - 3/2*y**2 + 112*y. Let h(w) = 0. What is w?
1, 2
Suppose 269 = 60*s + 89. Let a(q) be the first derivative of -1/12*q**s - 1/8*q**2 + 1/2*q + 6. Find b, given that a(b) = 0.
-2, 1
Suppose -3*g = 2*s - 1374, -881 = -3*g + 2*s + 505. Suppose -g + 422 = -19*c. Factor 11/4*j - 1/2*j**c + 1/2 - 11/4*j**3.
-(j - 1)*(j + 1)*(11*j + 2)/4
Suppose 328*c**4 - 24*c**3 - 17*c**2 - 19*c**2 - 332*c**4 = 0. What is c?
-3, 0
Let j(k) be the first derivative of -2*k**3/11 - 63*k**2/11 - 408*k/11 - 1520. Factor j(i).
-6*(i + 4)*(i + 17)/11
Let h = -526 + 520. Let a be (-20)/(-12)*h/(-40)*2. Factor 0 + a*j**2 - 1/2*j.
j*(j - 1)/2
Suppose 3*w + 5*m + 10 = 4*w, 4*m = 3*w - 30. Determine u, given that -11*u**2 - w*u**2 - u**3 + 19*u**2 = 0.
-2, 0
Let r(m) be the third derivative of -7*m**6/24 - 19*m**5/12 + 85*m**4/12 - 20*m**3/3 + m**2 - 669*m. Factor r(t).
-5*(t - 1)*(t + 4)*(7*t - 2)
Let m(v) be the first derivative of -21/5*v**5 + 1/8*v**6 + 7203/8*v**2 + 55 - 343*v**3 + 441/8*v**4 + 0*v. Find k, given that m(k) = 0.
0, 7
Let z = -5/12306 - -5471/4102. Factor 5/6*y**5 + 2*y**3 + 0*y + 0 + z*y**2 - 3*y**4.
y**2*(y - 2)**2*(5*y + 2)/6
Let m be 47/(66/(-34) - (-12 - -10)). What is d in 84*d**2 + 732*d - 2*d**3 - m*d - 815*d = 0?
0, 21
Let 141*p**3 - 18*p + 147*p**2 + 62*p - 10*p - 28*p = 0. What is p?
-1, -2/47, 0
Solve 0*o - 125/4*o**2 + 0 + 1/4*o**3 = 0.
0, 125
Let r(t) = 5*t**4 + t**3 - t**2 - t + 1. Let i(w) = 22*w**4 + 14*w**3 - 2*w**2 - 14*w + 5. Let b(f) = -i(f) + 5*r(f). Factor b(z).
3*z*(z - 3)*(z - 1)*(z + 1)
Let y = 82 - 65. Solve -9*u**2 + 16 + 10 + u**3 + 3*u - 4*u**3 - y = 0 for u.
-3, -1, 1
Find y such that -50/3 + 4/3*y**3 - 8/3*y**4 + 58/3*y**2 + 1/3*y**5 - 5/3*y = 0.
-2, -1, 1, 5
Let v(g) be the second derivative of 12/7*g**2 - 4/21*g**4 - 2/21*g**3 + 18 - 7*g - 1/35*g**5. Solve v(a) = 0 for a.
-3, -2, 1
Let g(x) be the third derivative of -x**5/270 - 1007*x**4/54 - 1014049*x**3/27 + 299*x**2 + 6. Factor g(f).
-2*(f + 1007)**2/9
Factor -468/7 + 34*n - 2/7*n**2.
-2*(n - 117)*(n - 2)/7
Let n(q) be the second derivative of -q**5/120 - q**4/6 - 41*q**3/36 - 7*q**2/2 - 3181*q. Factor n(g).
-(g + 2)*(g + 3)*(g + 7)/6
Let b(m) be the second derivative of 9*m + 0*m**4 + 0 + 0*m**2 + 0*m**6 + 5/42*m**7 - 1/2*m**5 + 5/6*m**3. Factor b(q).
5*q*(q - 1)**2*(q + 1)**2
Let j = 12932/7 + -1847. Let -18/7 + 3*l - j*l**2 = 0. Calculate l.
1, 6
Let k(n) be the third derivative of 3/40*n**5 + 0 + 0*n + 1/840*n**7 + 42*n**2 - 11/480*n**6 + 0*n**3 + 0*n**4. Suppose k(t) = 0. Calculate t.
0, 2, 9
Let d(n) be the third derivative of n**6/24 - 22*n**5/3 + 10105*n**4/24 - 9245*n**3/3 - 6*n**2 - 282*n. Factor d(q).
5*(q - 43)**2*(q - 2)
Let t = 443 + -188. Solve -20*x - 9 - 44*x + 13 + t*x**2 + x**2 = 0 for x.
1/8
Let r(o) be the first derivative of -2*o**3/3 + 2468*o**2 - 3045512*o - 7734. Solve r(h) = 0.
1234
Let q(h) = 48*h**3 - 4557*h**2 - 2585535*h + 5189274. Let u(v) = -29*v**3 + 2279*v**2 + 1292768*v - 2594636. Let n(g) = -3*q(g) - 5*u(g). What is b in n(b) = 0?
-1139, 2
Let o be ((-72016)/(-24))/7*6. Suppose -3811*x**3 - 2214*x**2 - 120 - 948*x + o*x**3 + 15*x**4 + 132*x**4 = 0. Calculate x.
-1, -2/7, 10
Let w(o) be the first derivative of 116 - 2/7*o - 4/21*o**3 + 5/14*o**2 + 1/28*o**4. Factor w(a).
(a - 2)*(a - 1)**2/7
Let v(l) = l**3 - 12*l**2 + 8*l + 33. Let i(c) = 15*c - 94. Let k be i(7). Let f be v(k). Factor 0*w**4 + 0 - 2/7*w**5 + f*w + 0*w**3 + 0*w**2.
-2*w**5/7
Let u(i) be the second derivative of -i**6/25 + 47*i**5/25 + 377*i**4/30 + 284*i**3/15 - 28*i**2 - 1045*i. Find r such that u(r) = 0.
-2, 1/3, 35
Let z(k) be the second derivative of 13*k**5/140 + 47*k**4/28 + 18*k**3/7 - 10*k**2/7 + 1362*k. Factor z(p).
(p + 1)*(p + 10)*(13*p - 2)/7
Factor -122 + 1722*s - 418 - 424*s - 2*s**5 - 60 + 264*s**3 + 116*s**4 - 1468*s**2 + 392*s.
-2*(s - 60)*(s - 1)**3*(s + 5)
Let z(n) be the second derivative of -9/14*n**3 + 1/28*n**4 + 6 - 7*n + 3*n**2. Suppose z(l) = 0. What is l?
2, 7
Let s(w) = -4*w**2 - 8*w + 12. Let b(j) = 3*j**2 + 5*j - 8. Let z(v) = 7*b(v) + 5*s(v). Let d be z(1). Suppose 3/2*h + d - 3/2*h**2 = 0. Calculate h.
0, 1
Let z be 23 + 3 - (928 - 905). What is w in 23/2*w + 10*w**2 - 9/2*w**3 - z = 0?
-1, 2/9, 3
Let c(g) = -8*g + 3 + 0 + 1 - 5 - 3*g**2. Let p be c(-2). Suppose 5*x**4 + 4*x**2 + 5*x**5 - 9*x**4 - 8*x**5 + 7*x**5 - 4*x**p = 0. Calculate x.
-1, 0, 1
Let o(j) be the second derivative of -1/120*j**6 + j + 11 + 17/80*j**5 - 9/4*j**2 + 19/48*j**4 - 17/24*j**3. Solve o(s) = 0 for s.
-1, 1, 18
Let u(g) be the second derivative of 1/20*g**4 + 0 + 8/5*g**3 + 0*g**2 + 75*g. Suppose u(m) = 0. Calculate m.
-16, 0
Let s(i) be the first derivative of -i**5/15 + 5*i**4 - 112*i**3/3 + 19*i**2/2 + 9. Let y(g) be the second derivative of s(g). Factor y(n).
-4*(n - 28)*(n - 2)
Let d(f) be the first derivative of f**6/20 - 3*f**5/8 - 65*f - 44. Let i(n) be the first derivative of d(n). Let i(t) = 0. What is t?
0, 5
Let x(g) = -g - 17. Let s be x(-2). Let j be (-4 - s) + -4 + -7. Find v such that 0*v + 0*v**2 + j - 1/4*v**4 - 1/4*v**3 = 0.
-1, 0
Let y(g) be the first derivative of g**4/5 + 508*g**3 + 483870*g**2 + 204838300*g - 2886. Suppose y(j) = 0. Calculate j.
-635
Let g(j) be the first derivative of -3*j**6/7 + 58*j**5/35 + 51*j**4/7 - 136*j**3/7 - 56*j**2 + 192*j/7 - 7952. Suppose g(l) = 0. Calculate l.
-2, 2/9, 3, 4
Let m be (-26)/(-5 - 8224/(-1664)). Find t, given that -35152/9 - 52/3*t**2 - 2/9*t**3 - m*t = 0.
-26
Determine w, given that -26/3*w - 2/3*w**5 + 28/3*w**3 - 8*w**2 + 0 + 8*w**4 = 0.
-1, 0, 1, 13
Let i = -473/3 - -159. Let b = 559/123 - 118/41. Suppose 11/3*f + 1 - 5*f**3 + i*f**5 + b*f**2 - 8/3*f**4 = 0. Calculate f.
-1, -1/2, 1, 3
Let p(k) be the first derivative of k**6/42 - 3*k**5/35 - 3*k**4/14 + 4*k**3/3 - 12*k**2/7 - 563. Factor p(w).
w*(w - 2)**3*(w + 3)/7
Let o(w) be the third derivative of -w**3 + 0 + 0*w + 35/24*w**4 - 11/60*w**5 - 38*w**2. Determine l, given that o(l) = 0.
2/11, 3
Let a(p) be the first derivative of -p**5/15 - 7*p**4/4 - 137*p**3/9 - 93*p**2/2 - 54*p + 1013. Factor a(x).
-(x + 1)*(x + 2)*(x + 9)**2/3
Let l(i) = -11*i**3 + 57*i**2 + 44*i - 283. Let d(c) = 39*c**3 - 201*c**2 - 150*c + 990. Let u(s) = 5*d(s) + 18*l(s). Find t such that u(t) = 0.
-3, 2, 8
Let m(r) = 78*r**2 - 29966*r + 8044288. Let k(j) = 56*j**2 - 21404*j + 5745920. Let l(t) = 25*k(t) - 18*m(t). Factor l(h).
-4*(h - 536)**2
Let w(a) be the second derivative of a**8/1260 - 11*a**7/630 + a**6/27 + 4*a**3 + a - 26. Let u(k) be the second derivative of w(k). Factor u(y).
4*y**2*(y - 10)*(y - 1)/3
Let b(o) be the first derivative of -44/3*o**3 - 95 - 2*o**2 + 0*o. Find s, given that b(s) = 0.
-1/11, 0
Let p(l) be the second derivative of 8*l**2 + 1/10*l**5 + l**4 - 5*l**3 + 0 + 252*l. Determine q, given that p(q) = 0.
-8, 1
Let g(i) = -2*i**5 - 107*i**4 - 395*i**3 - 374*i**2 - 35*i + 22. Let w(z) = 27*z**4 + 99*z**3 + 93*z**2 + 9*z - 6. Let o(p) = 2*g(p) + 9*w(p). Factor o(h).
-(h - 10)*(h + 1)**3*(4*h - 1)
Let f(w) be the third derivative of -w**7/42 - 43*w**6/3 - 4873*w**5/2 + 37195*w**4/3 - 149