2)*(5*z + 2)
Let k be 1*7 + 70476/(-10080). Let y(x) be the third derivative of 0 - k*x**6 + 0*x**5 - 15*x**2 + 1/3*x**3 + 1/8*x**4 + 0*x. Find i such that y(i) = 0.
-1, 2
Let i(f) be the second derivative of -1/2*f**3 - 7/36*f**4 - 1/3*f**2 + 0 - 250*f. Suppose i(r) = 0. Calculate r.
-1, -2/7
Let w(f) = -f**2 - 30*f - 143. Let y(z) = 2. Let k(p) = -2*w(p) - 18*y(p). Let k(c) = 0. Calculate c.
-25, -5
Let -266/15*k + 2/15*k**3 + 524/15 - 52/3*k**2 = 0. Calculate k.
-2, 1, 131
Factor -1/5*v**4 + 28/5*v**3 + 0 + 0*v - 27/5*v**2.
-v**2*(v - 27)*(v - 1)/5
Let v = 720 + -702. Let p be v/4*91/182. Let -21/4*a + p + 3/2*a**2 = 0. What is a?
1/2, 3
What is t in -5*t**2 - t**2 - 33*t**3 - 21*t**5 + 60*t**4 - 91 + 0*t**2 + 91 = 0?
-1/7, 0, 1, 2
Suppose -10705*y**2 - 382 - 58*y + 10703*y**2 + 106 = 0. Calculate y.
-23, -6
Let r(n) be the second derivative of -5*n**4/12 - 575*n**3/6 - 565*n**2 + 151*n - 6. Determine h, given that r(h) = 0.
-113, -2
Let y = -123 - -619/5. Let x = -590/439 - -6462/2195. Let 0*t + 0 - y*t**2 + x*t**4 + 6/5*t**5 - 2*t**3 = 0. What is t?
-2, -1/3, 0, 1
Let r(h) = -h**3 - 38*h**2 - 3*h + 24. Let t(b) = 3*b**3 + 76*b**2 + 7*b - 48. Let l(u) = -9*r(u) - 5*t(u). Factor l(a).
-2*(a + 1)*(a + 6)*(3*a - 2)
Let a(h) be the first derivative of 29/2*h**4 + 14*h**2 - 70 + 2/3*h**6 - 61/3*h**3 - 4*h - 5*h**5. Find y, given that a(y) = 0.
1/4, 1, 2
Let k = 121 + -118. Factor -8 + 6*h**3 - 13*h**3 - 2*h + 5*h**2 + 6*h**k.
-(h - 4)*(h - 2)*(h + 1)
Let u(c) be the first derivative of -5*c**2 - 35 + 0*c + 2/9*c**3. Find w such that u(w) = 0.
0, 15
Let m(v) = -v**2 + 75*v + 400. Let j be m(80). Suppose j + 1/2*w**2 - 7*w = 0. Calculate w.
0, 14
Let g(y) be the third derivative of 17/160*y**5 - 9/64*y**4 + 28*y**2 - 7/320*y**6 + 0*y**3 - 1/560*y**7 + 0 + 0*y. Suppose g(p) = 0. Calculate p.
-9, 0, 1
Let y = 82309 - 82307. Find k, given that 2/13*k**y - 10/13*k - 12/13 = 0.
-1, 6
Let v(d) be the first derivative of d**5/5 - d**4/2 + d**3/3 + 33. Suppose v(y) = 0. Calculate y.
0, 1
Let x(m) be the third derivative of 0*m**3 + 0*m + 1/20*m**5 - 46*m**2 + 0 - 1/8*m**4. Solve x(d) = 0 for d.
0, 1
Let n(c) = c**2 - 8*c. Let s(j) = j**2 - 7*j. Let w(f) = f. Let v(g) = s(g) - 2*w(g). Let m(q) = -5*n(q) + 4*v(q). Factor m(t).
-t*(t - 4)
Let y(t) be the third derivative of t**6/200 + 179*t**5/300 + 59*t**4/60 - 6377*t**2. Factor y(b).
b*(b + 59)*(3*b + 2)/5
Let i(w) = w**2 + 16*w + 22. Let v(d) = -2*d**2 - 31*d - 65. Let q(o) = -13*i(o) - 6*v(o). Factor q(t).
-(t - 4)*(t + 26)
Let z(h) be the second derivative of 1/21*h**4 + 0 + 2/7*h**2 + 4/21*h**3 - 39*h. Find k such that z(k) = 0.
-1
Let j(l) be the third derivative of l**7/70 - l**6/2 - l**5/20 + 5*l**4/2 + 2690*l**2. Factor j(k).
3*k*(k - 20)*(k - 1)*(k + 1)
Suppose -448*j - 584 = -594*j. Factor 0 - 2/7*i**5 - 18/7*i**3 + 108/7*i + 54/7*i**2 - 2*i**j.
-2*i*(i - 2)*(i + 3)**3/7
Factor 12*j**2 + 48387 + 5*j**3 - 3587 + 9*j**2 - 4320*j + j**2 - 7*j**2.
5*(j - 16)**2*(j + 35)
Let c(y) be the first derivative of -2*y**3/39 + 131*y**2/13 + 532*y/13 - 2972. Find x, given that c(x) = 0.
-2, 133
Let s(p) be the second derivative of 5/3*p**4 + 36*p**2 - 25*p + 0 - 11*p**3 - 1/10*p**5. Factor s(g).
-2*(g - 4)*(g - 3)**2
Let -4332 - 5*j**4 + 13*j**2 - j + 4324 + 5*j**3 - 3*j**2 - 3*j - j**5 + 3*j**4 = 0. What is j?
-2, -1, 1, 2
Let u(y) be the first derivative of 4*y**3/21 - 162*y**2/7 - 700. Factor u(w).
4*w*(w - 81)/7
Find z such that -75*z**3 - 7434*z + 65*z**2 - 1793*z**2 - 16329*z - z**4 + 12499*z = 0.
-32, -11, 0
Let y = 1 - -29. Let a = y + -28. Factor 68*g**2 + 4*g**3 - 68*g**a - 4*g.
4*g*(g - 1)*(g + 1)
Let g(n) be the second derivative of n**5/12 - 85*n**4/24 + 51*n**2/2 + 128*n. Let m(k) be the first derivative of g(k). Factor m(c).
5*c*(c - 17)
Suppose 4*y + 1020 = 3*u, 1235*y - 1234*y + 342 = u. Factor 16 + 54*n**3 + 440/3*n + u*n**2.
2*(n + 6)*(9*n + 2)**2/3
Factor 96/7 + 24*t**2 - 272/7*t + 36/7*t**3.
4*(t + 6)*(3*t - 2)**2/7
Let v(m) be the second derivative of -1083/20*m**5 + 12*m**3 - 83*m - 357/5*m**6 + 6*m**2 - 28*m**7 - 19/4*m**4 + 0. Find f, given that v(f) = 0.
-1, -1/2, -2/7, 1/4
Let s(z) be the third derivative of z**8/50400 + z**7/9450 + z**6/5400 - z**4/24 + 23*z**3/3 - 44*z**2. Let r(i) be the second derivative of s(i). Factor r(n).
2*n*(n + 1)**2/15
Suppose -8*i = -2*y - 5*i - 2, 3*y + 2*i - 10 = 0. Suppose 6*p + y = 4*j + 3*p, -5*j + 2*p + 6 = 0. Suppose -4/11*n**j - 4/11 + 10/11*n = 0. What is n?
1/2, 2
Let y(i) = -i**4 + 95*i**3 + 294*i**2 - 476*i + 103. Let s(m) = -m**4 - 2*m**3 - m - 1. Let r(w) = 12*s(w) + 4*y(w). Find x such that r(x) = 0.
-4, 1/4, 1, 25
Let a be 38 + (-1633)/(-497) - 41. Find p such that 0*p**2 + 0*p + 6/7*p**3 + 0 + a*p**4 = 0.
-3, 0
Solve 279*k**3 - 6072*k**2 + 6348*k - 974*k**3 + 422*k**3 - 3*k**4 = 0.
-46, 0, 1
Factor 537/4 + 1/4*i**2 - 91/2*i.
(i - 179)*(i - 3)/4
Let v(j) be the second derivative of 0 - 27*j - 5/14*j**3 + 6/7*j**2 + 1/28*j**4. Suppose v(y) = 0. Calculate y.
1, 4
Suppose 31*w - 11573 = 50892. Let u = 2015 - w. Let -10/17*n**2 + 8/17*n + u = 0. Calculate n.
0, 4/5
Let r(z) = 84644*z**3 - 14268*z**2 + 496*z - 37. Let l(j) = 253931*j**3 - 42802*j**2 + 1489*j - 103. Let t(o) = -4*l(o) + 11*r(o). Factor t(u).
-5*(8*u - 1)*(46*u - 1)**2
Let y = 131 + -131. Let s(w) be the third derivative of -3/50*w**5 - 10*w**2 + y + 0*w - 4/15*w**3 - 1/5*w**4. Let s(f) = 0. Calculate f.
-2/3
Suppose -4*v = 9*j - 7*j - 10, -3*j + 24 = -3*v. Let y = 0 + 2. Factor 10*d**2 + 6*d + 6 - 12*d**y + j - 5.
-2*(d - 4)*(d + 1)
Let g(z) be the third derivative of -z**6/120 + z**5/20 + z**4/6 - 669*z**2. Factor g(l).
-l*(l - 4)*(l + 1)
Let u(k) = 3*k**2 + 26*k + 42. Let i be u(-22). Factor -46*v**2 - 32*v + 898 + 8*v**3 + 94*v - i.
2*(v - 4)*(v - 1)*(4*v - 3)
Suppose 5*b = -2*d - 469, 5*b + 0*d = 2*d - 481. Let l = -79 - b. Suppose -5 + l*r - 5*r**2 - 6 + 7 - 7*r**3 = 0. Calculate r.
-2, 2/7, 1
Find q, given that 0 + 3/2*q**5 + 2222/3*q**3 + 484/3*q**2 + 199/3*q**4 + 0*q = 0.
-22, -2/9, 0
Suppose l = 2*j - 188 + 17, 0 = -4*j + l + 339. Let d = j + -81. Factor u**2 + 2/3*u + 1/3*u**d + 0.
u*(u + 1)*(u + 2)/3
Let j(n) be the first derivative of -n**3/9 - 25*n**2/6 - 100*n/3 - 1514. Factor j(w).
-(w + 5)*(w + 20)/3
Let w(i) be the third derivative of i**6/1440 + i**5/16 + 75*i**4/32 + 10*i**3/3 - i**2 + 46*i. Let r(d) be the first derivative of w(d). Factor r(z).
(z + 15)**2/4
Let x = -53 - -61. Let t be (-1*9/6)/((-1)/x). Let -24*i**2 + 12*i**2 + 4*i**2 + t*i + 6*i**2 = 0. Calculate i.
0, 6
Let a(b) be the second derivative of b**8/26880 - b**7/1260 + 13*b**6/2880 - b**5/80 + b**4 + 4*b + 1. Let j(k) be the third derivative of a(k). Factor j(y).
(y - 6)*(y - 1)**2/4
Let n(x) be the third derivative of x**5/360 + 17*x**4/24 - 52*x**3/9 + 1614*x**2. Solve n(i) = 0 for i.
-104, 2
Let j(p) be the second derivative of p**7/504 + 5*p**6/72 + 25*p**5/24 - p**4/4 - p**2 + 19*p. Let f(k) be the third derivative of j(k). Solve f(d) = 0.
-5
Let i be ((-348)/406 - 2/14)*-3. Let p(v) be the first derivative of 1/2*v**2 + 5/3*v**i + 12 + 7/4*v**4 + 0*v + 3/5*v**5. Factor p(g).
g*(g + 1)**2*(3*g + 1)
Let q(h) = 32*h**2 + h - 1. Let f be q(1). Suppose 7*a = 3 + 18. Factor 23*j - 1 - f*j + 13 - a*j**2.
-3*(j - 1)*(j + 4)
Let v(w) be the first derivative of -w**7/42 + w**6/5 - 8*w**4/3 - 81*w + 15. Let p(n) be the first derivative of v(n). Factor p(f).
-f**2*(f - 4)**2*(f + 2)
Let l = 13699/3 - 4565. Let m(c) be the second derivative of 0*c**2 - 1/15*c**6 - 6*c + l*c**3 - 3/10*c**5 + 0 + 0*c**4. Solve m(f) = 0 for f.
-2, 0, 1
Let z(l) be the first derivative of l**6/1080 - 7*l**5/360 - l**4/9 - 52*l**3/3 - 61. Let f(w) be the third derivative of z(w). Solve f(d) = 0 for d.
-1, 8
Let c(l) be the first derivative of l**5/5 - 23*l**4 + 2018*l**3/3 + 2350*l**2 - 6627*l - 4259. Let c(z) = 0. Calculate z.
-3, 1, 47
Factor -17*a**2 + 0 + 1/2*a**3 + 32*a.
a*(a - 32)*(a - 2)/2
Suppose 2*o**2 + 2563*o + 2191*o - 4332*o - 4420 = 0. Calculate o.
-221, 10
Suppose 14*z = 9*z + 120. Suppose -5*i - z = -29. Factor k**5 + k**4 - 2*k**2 + 2*k**3 - 6*k**3 + k + 2*k**3 + 0*k**4 + i.
(k - 1)**2*(k + 1)**3
Let b be (-4)/(-3)*(118/(-10) - 2). Let d = 19 + b. Determine v so that 0*v + 0 - d*v**5 + 0*v**3 - 3/5*