*2 + 1 + 2*n = 0.
-1, 1
Let j = 777851/6 - 129636. Determine t, given that -2/3 - 31/6*t**4 + 35/6*t**5 + 4/3*t + j*t**2 - 43/6*t**3 = 0.
-1, -2/5, 2/7, 1
Let j(k) be the first derivative of k**5/45 - 13*k**4/36 - 14*k**3/27 - 666. Suppose j(v) = 0. What is v?
-1, 0, 14
Let d = -5222 + 5232. Let i(k) be the second derivative of d*k**2 + 1/4*k**5 - 10/3*k**3 + 0 - 5/12*k**4 - 14*k. Suppose i(f) = 0. What is f?
-2, 1, 2
Let -313/3*m**2 - 25/3*m**3 + 40*m + 2800/3 + 1/3*m**5 + 3*m**4 = 0. What is m?
-7, -5, 4
Let z(n) be the first derivative of -n**4/6 - 4*n**3/3 - 3*n**2 + 43*n + 63. Let l(s) be the first derivative of z(s). Find d, given that l(d) = 0.
-3, -1
Let k(b) = -157*b + 631. Let w be k(4). Let y(q) be the second derivative of 8*q + 0 + 1/9*q**w + 0*q**2 + 1/120*q**5 + 5/72*q**4. Factor y(g).
g*(g + 1)*(g + 4)/6
Let m(a) be the first derivative of a**3/6 - 363*a**2/4 - 182*a + 5966. Factor m(v).
(v - 364)*(v + 1)/2
Let r(x) be the second derivative of -x**6/40 - 741*x**5/80 - 1891*x**4/2 + 1922*x**3 - 2418*x. Let r(w) = 0. Calculate w.
-124, 0, 1
Let s(k) be the third derivative of -k**8/84 + 16*k**7/21 - 37*k**6/30 - 26*k**5/5 + 2263*k**2. Let s(a) = 0. Calculate a.
-1, 0, 2, 39
Let n(w) = 31*w**2 + 2960*w - 468. Let c(s) = -21*s**2 - 1970*s + 311. Let k(h) = 8*c(h) + 5*n(h). Solve k(l) = 0.
-74, 2/13
Solve 2/9*i**2 + 25538/9 + 452/9*i = 0.
-113
Let g = 1369387/5 - 273877. Factor -1/5*s**5 - 4/5*s**4 + 0*s - s**3 - g*s**2 + 0.
-s**2*(s + 1)**2*(s + 2)/5
Let -26/3*o - 2/3*o**3 - 32/3*o**2 + 20 = 0. Calculate o.
-15, -2, 1
Let m be ((-198)/(-2475) - 304/50)/(-2). Let o(l) be the second derivative of 1/7*l**m + 1/70*l**5 + 0 - 1/14*l**4 - 1/7*l**2 + 7*l. Factor o(h).
2*(h - 1)**3/7
Factor -900/7 + 32/7*v**3 - 1552/7*v**2 - 2382/7*v.
2*(v - 50)*(4*v + 3)**2/7
Factor 0 - 59/2*c**2 - 84*c - 1/2*c**3.
-c*(c + 3)*(c + 56)/2
Solve -2/23*i**3 + 2606/23*i**2 - 850208/23 - 847600/23*i = 0 for i.
-1, 652
Let y(c) be the first derivative of -10*c**3/21 + 1329*c**2/7 + 76*c - 3896. Factor y(n).
-2*(n - 266)*(5*n + 1)/7
Let c = 2040/443 + 82/1329. Suppose -32/3*q + 128/3 - c*q**2 - 1/3*q**3 = 0. Calculate q.
-8, 2
Let f(l) be the first derivative of l**4/2 - 20*l**3/3 + 13*l**2 + 48*l - 538. Find q such that f(q) = 0.
-1, 3, 8
Let r(l) = 505*l - 24. Let s be r(-1). Let i = s - -531. Let -5/7*h + 1/7*h**3 + 2/7 - 1/7*h**4 + 3/7*h**i = 0. What is h?
-2, 1
Let o be (4 - 6)/((-4)/14). Let h be (-3 + 3)*(-6 + o). Find k, given that 65*k**2 + h + 15*k - 70*k**2 - 10 = 0.
1, 2
Let d(v) be the third derivative of 0*v - 79/105*v**6 + 1/168*v**4 + 83*v**2 + 53/84*v**5 - 1 - 1/7*v**3 - 8/49*v**7. Suppose d(b) = 0. Calculate b.
-3, -2/15, 1/4
Solve 12 + 43/4*x**5 + 38*x**2 - 41/4*x**4 + 260*x - 108*x**3 = 0 for x.
-2, -2/43, 2, 3
Find o, given that 0*o + 77/2*o**3 + 0 + 1/4*o**4 - 155/4*o**2 = 0.
-155, 0, 1
Find q such that 68/15*q**3 + 22/3*q**2 + 0 + 4/5*q = 0.
-3/2, -2/17, 0
Suppose w = -9 + 16. Let a(g) = -g + 10. Let r be a(w). Factor -7*m**r + 27*m**2 + 19 - 8 + 6*m**2 - 32*m - 23.
-(m - 3)*(m - 2)*(7*m + 2)
Let j = -285 + 289. Find t such that -48*t**3 + j*t**4 + 150*t + 223*t + 19*t + 84*t**2 = 0.
-2, 0, 7
Let f = 112561/168855 - -3/56285. Let -10 + f*c**2 + 28/3*c = 0. What is c?
-15, 1
Let h(c) be the second derivative of -c**7/2016 + c**6/16 + 37*c**5/96 - 63*c**4/4 - c - 1. Let g(a) be the third derivative of h(a). Solve g(r) = 0 for r.
-1, 37
Let m be 40/95*(-19)/1596. Let i = m - -857/399. Let -12/7*d - i*d**3 + 0 + 24/7*d**2 + 3/7*d**4 = 0. Calculate d.
0, 1, 2
Let s(i) be the third derivative of i**7/3 - 31*i**6/24 - 2*i**5/3 + 155*i**4/24 - 5*i**3 - 2061*i**2. Determine o so that s(o) = 0.
-1, 3/14, 1, 2
Let r(s) be the second derivative of -10/57*s**3 + 1/190*s**5 + 0 + 8/19*s**2 - 183*s + 1/114*s**4. Determine o so that r(o) = 0.
-4, 1, 2
Let n(f) be the first derivative of -9 - 2/21*f**3 - 2*f**2 + 30/7*f. Find v, given that n(v) = 0.
-15, 1
Let k(f) = -15*f**2 + 18*f + 89. Let l(r) = -7*r**2 + 9*r + 40. Let d(b) = -6*k(b) + 13*l(b). Let d(z) = 0. What is z?
2, 7
Let b(p) be the third derivative of -13*p**5/24 + 43*p**4/16 + p**3/6 - p**2 + 943*p. Factor b(y).
-(y - 2)*(65*y + 1)/2
Let z(w) be the first derivative of w**3 + 93*w**2/2 - 2667. Find m, given that z(m) = 0.
-31, 0
Let v be (-2128)/665 - 1096/(-180). Factor -1/9*s**2 + 11/9*s + v.
-(s - 13)*(s + 2)/9
Let n = 16468 + -16461. Factor 1/3*y**2 + 20/3 - n*y.
(y - 20)*(y - 1)/3
Suppose -3*h + 3*p + 903 = 0, -3*p = -1 - 8. Suppose 2*c + 5*d = 595, -c + d = -3*d - h. Factor -1000*q + 1250 - 40*q**3 - 10*q**4 + c*q**2 + 8*q**4 + 4*q**4.
2*(q - 5)**4
Suppose 3*f - 19 = 2*t, 5*f + 2 = 5*t + 42. Let n(j) be the first derivative of -9 + 1/30*j**5 - 1/24*j**4 + 5/12*j**2 - 1/3*j - 1/6*j**f. Factor n(k).
(k - 1)**3*(k + 2)/6
Let p = -30728 + 283319/9. Let o = p + -751. Solve -o*d**2 - 2/3*d**3 + 10/9*d + 4/9 = 0.
-2, -1/3, 1
Find d such that 1024/9 - 2/9*d**3 - 128/3*d - 20/3*d**2 = 0.
-16, 2
Suppose -48 = 14*r - 91 - 307. Let w(l) be the second derivative of -r*l + 11/96*l**4 + 0 - 1/8*l**3 - 1/40*l**5 + 0*l**2 - 1/240*l**6. Factor w(t).
-t*(t - 1)**2*(t + 6)/8
Let u(p) = -27*p**3 - 30*p**2 + 75*p - 24. Let l(q) = -13*q**3 - 3 + 3*q**2 + 2 - 2*q**2 + 12*q**3. Let z(k) = 6*l(k) - u(k). Factor z(c).
3*(c - 1)*(c + 3)*(7*c - 2)
Let v(a) be the first derivative of a**3/8 + 369*a**2/4 + 45387*a/2 + 3574. Factor v(f).
3*(f + 246)**2/8
Suppose 51 + 66*w - 555 + 7*w**2 + 12*w**2 - 4*w**2 - 12*w**2 = 0. What is w?
-28, 6
Let t(a) be the third derivative of -a**5/20 - 31*a**4/2 + 1197*a**3/2 + 9*a**2 - 334. Factor t(y).
-3*(y - 9)*(y + 133)
Let 12*r**3 + 17*r**3 + 127*r + r**4 + 22 - 3171*r**2 + 28 + 3276*r**2 = 0. Calculate r.
-25, -2, -1
Suppose -242*l + 239*l + 3 = 0. Suppose 2*r = 2*i + 9 - 1, 3*r + 4 = -5*i. Factor -t**5 - r*t**3 + 2*t**4 - 1 + l + t**4.
-t**3*(t - 2)*(t - 1)
Let v(o) be the second derivative of 239/40*o**5 + 7*o**3 + 45/4*o**4 + 2*o**2 - 35*o - 3/5*o**6 - 27/28*o**7 + 3. Determine u so that v(u) = 0.
-1, -2/9, 2
Suppose 0*b + 2*w - 215 = 3*b, b = -w - 80. Let q be 0 + 8/12 - 175/b. Determine z, given that 3/4*z**q + 0 - 1/2*z + 5/4*z**2 = 0.
-2, 0, 1/3
Let i(r) be the second derivative of -r**5/60 - 137*r**4/18 - 3344*r**3/3 - 29040*r**2 - 2957*r. Solve i(k) = 0 for k.
-132, -10
Let w be (-150 + 5)*(-1 - (3 + -3)). Let c = w - 1013/7. Determine l so that 4/7*l - c - 4/7*l**3 + 2/7*l**2 = 0.
-1, 1/2, 1
Let s = -261/2330 - -20989/20970. Factor 16/9*k - s + 10/9*k**2.
2*(k + 2)*(5*k - 2)/9
Suppose -5*s + 129 = 2*c - 0*s, -2*s = -6. Factor 40 - c + 5*y**2 - 319*y + 304*y - 123.
5*(y - 7)*(y + 4)
Let k(x) be the second derivative of x**6/50 - 21*x**5/100 - 99*x**4/20 + 567*x**3/10 + 2187*x**2/5 - 1400*x. Find b, given that k(b) = 0.
-9, -2, 9
Let a = 263397 + -4477747/17. Factor 2/17*s**3 - 2/17*s**2 + 2/17 - a*s.
2*(s - 1)**2*(s + 1)/17
Factor -3/7*a**2 + 528/7*a - 23232/7.
-3*(a - 88)**2/7
Let f = -428408023 + 4303358595058/10045. Let y = -1/2009 + f. Let -6/5*x + 4/5 + y*x**2 = 0. Calculate x.
1, 2
Let s(r) be the third derivative of -r**6/80 - 133*r**5/32 + 501*r**4/64 + 44*r**2 + 1. Solve s(w) = 0 for w.
-167, 0, 3/4
Let t(z) be the third derivative of 184 + 0*z - 7/15*z**5 - 1/6*z**4 + 1/30*z**6 - 2*z**2 + 4*z**3 + 2/105*z**7. Find n, given that t(n) = 0.
-3, -1, 1, 2
Let l(r) be the third derivative of -60*r**2 + 0 - 1/660*r**6 + 1/1155*r**7 + 3/44*r**4 + 0*r - 3/110*r**5 + 0*r**3. Factor l(q).
2*q*(q - 3)*(q - 1)*(q + 3)/11
Suppose 0 - 208/5*k**2 + 28/5*k**3 + 84/5*k = 0. What is k?
0, 3/7, 7
Let n(z) be the third derivative of 0*z**3 + 0 + 30*z**2 - 1/3*z**4 + 0*z + 4/15*z**5 + 1/105*z**7 - 1/12*z**6. Factor n(l).
2*l*(l - 2)**2*(l - 1)
Let z(b) be the third derivative of b**8/10080 - b**7/180 + 13*b**6/360 - 4*b**5/15 - 151*b**2. Let o(g) be the third derivative of z(g). Factor o(t).
2*(t - 13)*(t - 1)
Let r(h) = 15*h**3 + 20*h**2 - 75*h + 50. Let c(a) = 36*a**3 + 41*a**2 - 150*a + 98. Let p(o) = 2*c(o) - 5*r(o). Solve p(u) = 0 for u.
-9, 1, 2
Let q(a) be the second derivative of a**5/14 - 29*a**4/21 - 83*a**3/7 - 90*a**2/7 + a - 6. Determine d, given that q(d) = 0.
-3, -2/5, 15
Let z(n) = -2*n**2 + 15 + 12 + 10 - n**3 - 38. Let r(v) = 8*v**3 + 4*v**2 + 5. Let j(m) = -r(m)