12*s + 4056. Let c be p(13). Let o(w) be the second derivative of -5/21*w**2 + 2/63*w**4 + c + 16*w - 19/63*w**3. Let o(v) = 0. Calculate v.
-1/4, 5
Let u(t) be the third derivative of -t**6/480 - 49*t**5/240 - 575*t**4/96 + 625*t**3/24 + 3181*t**2. Find m such that u(m) = 0.
-25, 1
Let f(l) be the third derivative of l**5/36 + 115*l**4/18 - 155*l**3/6 - 6*l**2 + 82*l. Let f(t) = 0. What is t?
-93, 1
Suppose 524*z - 531*z = 0. Let q(o) be the first derivative of 2 + z*o + 1/26*o**4 + 0*o**2 + 2/65*o**5 - 1/39*o**6 - 2/39*o**3. Find s, given that q(s) = 0.
-1, 0, 1
Suppose 68*w**2 + 252 + 67*w**2 - 3*w**3 - 573*w + 189*w = 0. What is w?
1, 2, 42
Let v(f) be the second derivative of 2/15*f**6 + 0*f**2 + 0*f**3 - 3/10*f**5 + 1/21*f**7 + 0*f**4 - 19*f + 0. Suppose v(m) = 0. Calculate m.
-3, 0, 1
Let r = 499 - 495. What is d in 6*d**4 + 10*d - 16*d**3 - 6*d**2 + r - 8*d**4 + 12*d**4 - 2*d**4 = 0?
-1/2, 1, 2
Suppose 3*k - 11 = -2*s + s, 5*s = 10. Find q, given that 119 + 20*q - 127 - 31*q**3 + 107*q**k + 84*q**2 + 20*q**4 = 0.
-2, -1, 1/5
Let p(u) be the first derivative of -3*u**4/32 - 7*u**3/8 + 3*u**2/16 + 21*u/8 - 1380. Factor p(c).
-3*(c - 1)*(c + 1)*(c + 7)/8
Let g(j) = -2*j**3 - 35*j**2 - 77*j + 21. Let y be g(-15). Let b be 544/y - (4 + 2). Factor -b*x**2 + 4/3*x + 0.
-2*x*(7*x - 2)/3
Let n(i) = 3*i**2 - 9*i. Let w(g) be the third derivative of g**5/20 - g**4/3 + g**2 - 32. Let o(x) = 5*n(x) - 6*w(x). Factor o(a).
-3*a*(a - 1)
Let q(w) = -88*w**2 + 1701*w - 1678. Let o(m) = -140*m**2 + 2552*m - 2516. Let i(z) = 5*o(z) - 8*q(z). Determine d so that i(d) = 0.
1, 211
Let i(r) be the second derivative of -r**7/72 - r**6/72 + 5*r**5/24 - 101*r**4/12 + 4*r - 1. Let k(l) be the third derivative of i(l). Factor k(c).
-5*(c + 1)*(7*c - 5)
Let c(f) be the third derivative of f**5/30 - 4*f**4/3 - 1536*f**2. Solve c(x) = 0 for x.
0, 16
Factor 518/11 + 60/11*i - 2/11*i**2.
-2*(i - 37)*(i + 7)/11
Let z(w) be the first derivative of -w**6/1080 + w**5/180 + 5*w**4/24 + 106*w**3/3 - 111. Let h(u) be the third derivative of z(u). Factor h(q).
-(q - 5)*(q + 3)/3
Suppose 1846 - 661 = 1437*g - 1689. Find c, given that 0*c + g*c**2 + 0 + 2/5*c**4 + 12/5*c**3 = 0.
-5, -1, 0
Let t(q) be the first derivative of -86/3*q**3 - 882*q - 1/2*q**4 - 483*q**2 + 62. Factor t(g).
-2*(g + 1)*(g + 21)**2
Factor -117 + 921/7*l + 3/7*l**3 - 15*l**2.
3*(l - 21)*(l - 13)*(l - 1)/7
Let t = 28197 + -28194. Factor 2/7*c**4 - 10/7*c**2 + 0 + 6/7*c + 2/7*c**t.
2*c*(c - 1)**2*(c + 3)/7
Solve 34*u - 34*u - 18857*u**3 - 1260*u**2 + 18853*u**3 = 0 for u.
-315, 0
Let l(h) = 28*h**3 + 244*h**2 - 380*h - 116. Let v(k) = -6*k**3 - 49*k**2 + 74*k + 23. Let o(m) = -3*l(m) - 16*v(m). Solve o(z) = 0.
-5, -1/3, 1
Suppose -25*s + 34*s - 18 = 0. Let 5*t**3 - 2*t**3 + 5*t - 8*t**2 - 2*t**s + t**3 + t**3 = 0. Calculate t.
0, 1
Suppose h - 11*d + 15*d = 11, 0 = -5*h - 3*d + 21. Factor -3*z**4 + 9*z**3 + 22*z**3 + 57*z**2 + 23*z**h.
-3*z**2*(z - 19)*(z + 1)
Let f(h) be the third derivative of h**6/8 - 397*h**5/3 + 2635*h**4/24 + 2645*h**3/3 + 4*h**2 - 650. Factor f(p).
5*(p - 529)*(p - 1)*(3*p + 2)
Let u(j) be the third derivative of 3*j**8/224 - 11*j**7/140 + 3*j**6/40 + 755*j**2. Factor u(x).
3*x**3*(x - 3)*(3*x - 2)/2
Let z(l) be the second derivative of l**4/3 - 2312*l**3/3 + 668168*l**2 + 1564*l + 1. Factor z(p).
4*(p - 578)**2
What is m in 0 - 3*m + 3*m**3 - 3/5*m**4 + 3/5*m**2 = 0?
-1, 0, 1, 5
Let p(i) = -7*i**2 - 79*i + 384. Let y(j) = 57*j**2 + 630*j - 3069. Let s(n) = 33*p(n) + 4*y(n). Solve s(v) = 0 for v.
-33, 4
Let 99/2*n**4 + 0 + 0*n - 101/2*n**3 + n**2 = 0. What is n?
0, 2/99, 1
Let o(i) = i**3 - 3*i**2 - i + 3. Let u be o(3). Suppose -1596*l + 1594*l = u. Factor -1/2*q - 1/6*q**3 + l + 2/3*q**2.
-q*(q - 3)*(q - 1)/6
Let g(o) be the first derivative of 4*o**5/5 + 25*o**4 - 128*o**3/3 - 312*o**2 - 4437. Determine n, given that g(n) = 0.
-26, -2, 0, 3
Let n be 8 + (-17)/2 + (3 - 0). Suppose 3 = 5*j - 2*j - y, -4*y = -12. Factor 0 + 7/2*x**j + 3/2*x + n*x**3 + 1/2*x**4.
x*(x + 1)**2*(x + 3)/2
Let t be 2 - (-5 + (-33)/(-9))/(2/3). Let q(m) be the third derivative of 0*m + 3/8*m**t - 1/35*m**7 + 7/40*m**6 + 0 - 8*m**2 - 2/5*m**5 + 0*m**3. Factor q(u).
-3*u*(u - 1)**2*(2*u - 3)
Let o(s) be the third derivative of -1/6*s**6 + 1/105*s**7 - 11/6*s**4 + 0*s + 6*s**2 + 4/5*s**5 + 7/3*s**3 + 0. Factor o(x).
2*(x - 7)*(x - 1)**3
Suppose 0 = 214*z + 135 - 563. Factor -8/3*p - 20/3 + 1/3*p**z.
(p - 10)*(p + 2)/3
Determine g, given that 7*g - 60*g**3 + 14*g**5 + 11221*g**2 - 5653*g**2 + 10*g**4 + 9*g - 5608*g**2 = 0.
-2, -1, 0, 2/7, 2
Let c(i) be the first derivative of -i**6/57 + 64*i**5/19 - 1231*i**4/38 + 4544*i**3/57 + 1232*i**2/19 - 256*i + 1873. Solve c(g) = 0 for g.
-1, 1, 4, 152
Let a(i) be the third derivative of i**5/12 - 480*i**4 + 1105920*i**3 - 2548*i**2. Factor a(v).
5*(v - 1152)**2
Let 2*g**3 - 68/13 - 126/13*g**2 + 166/13*g + 2/13*g**4 = 0. What is g?
-17, 1, 2
Let b be (-364)/2366 + 19/39. Factor -2/3 + 1/3*x - 1/3*x**4 - b*x**3 + x**2.
-(x - 1)**2*(x + 1)*(x + 2)/3
Suppose 460*a - 1704 + 324 = 0. Factor -9/2 + a*c + 3/2*c**2.
3*(c - 1)*(c + 3)/2
Let r(u) = 7*u**2 + 12*u - 2. Let y(s) = 22*s**2 + 37*s - 7. Let f = 1 + 10. Suppose -6*q + f + 1 = 0. Let v(j) = q*y(j) - 7*r(j). Solve v(m) = 0.
-2, 0
Let g(n) be the first derivative of -263 + 20/3*n**3 - 9/5*n**5 + 0*n**2 + 0*n - 3*n**4 + 1/6*n**6. Find t such that g(t) = 0.
-2, 0, 1, 10
Let n be (12876/259)/58 + ((-6)/(-14))/(-1). Factor 6/7*l**3 - 6/7*l - n*l**4 + 0 + 3/7*l**2.
-3*l*(l - 2)*(l - 1)*(l + 1)/7
Suppose -2*i - 6*i = -16. Let t(l) be the first derivative of 484*l + l**5 + 9*l**3 + 141*l + 11 + 141*l**3 + 20*l**4 + 500*l**i. Factor t(c).
5*(c + 1)*(c + 5)**3
Let x = -3769 - -75389/20. Let d(h) be the first derivative of -43/12*h**3 - 2*h + 15/4*h**2 + 1/24*h**6 + 11 - x*h**5 + 29/16*h**4. What is y in d(y) = 0?
1, 2, 4
Let z(j) = 29*j**4 + 85*j**3 + 39*j**2 - 81*j - 56. Let m(s) = -28*s**4 - 85*s**3 - 38*s**2 + 82*s + 57. Let f(y) = -4*m(y) - 3*z(y). Let f(p) = 0. What is p?
-12/5, -1, 1
Find d such that 0 - 1/5*d**2 + 24/5*d = 0.
0, 24
Let w(j) be the first derivative of -j**3/3 - 1315*j**2/2 - 1314*j - 2843. Suppose w(s) = 0. What is s?
-1314, -1
Let s(r) be the third derivative of 0 - 1/220*r**6 + 154*r**2 - 3/110*r**5 + 12/11*r**3 + 0*r + 1/11*r**4. Suppose s(u) = 0. Calculate u.
-3, -2, 2
Factor 2*l**3 - 3150 - 3911*l - 5087*l + 71*l**2 - 217*l**2 + 10308*l.
2*(l - 63)*(l - 5)**2
Suppose 2 = -x - 4. Let g be ((-2)/x)/(14/168). Factor 3/2*o - 3/2*o**3 - 1 + 1/2*o**2 + 1/2*o**g.
(o - 2)*(o - 1)**2*(o + 1)/2
Let s(a) be the second derivative of a**6/6 - a**5/2 - 25*a**4/4 + 30*a**3 + 938*a. Factor s(n).
5*n*(n - 3)**2*(n + 4)
Suppose -c = -2*v + 22, -3*v = 4*c + 100 + 10. Let k = c + 28. Factor -4*h**3 + 8*h**4 - 8*h**5 - 12*h**2 + 25*h**5 + 4*h**k - 13*h**5.
4*h**2*(h - 1)*(h + 1)*(h + 2)
Let g(c) be the second derivative of c**6/210 - c**5/35 + c**4/14 - 2*c**3/21 - 2*c**2 - 46*c. Let o(p) be the first derivative of g(p). What is l in o(l) = 0?
1
Let i(f) be the second derivative of f**5/20 - f**4/12 + f**3/3 - f**2/2 - 14*f. Let x be i(4). Factor 2*q**2 + 3*q**2 - 40*q + 135 - x.
5*(q - 4)**2
Suppose -5*z + 542 = 2*i - 22, -3*z + 5*i = -357. Let h = z + -10. Find w, given that -h*w**3 + 4*w - 5*w + 2*w**2 + 103*w**3 = 0.
0, 1
Let w(u) be the third derivative of -1/2*u**4 + 0 + 0*u - 1/60*u**5 + 61*u**2 - 11/6*u**3. Find r, given that w(r) = 0.
-11, -1
Let k(q) be the third derivative of -q**5/30 - 334*q**4/3 - 445*q**3 - 4*q**2 - 3*q + 7. Find t such that k(t) = 0.
-1335, -1
Factor -108025*i**2 - 5/3*i**4 - 2215/3*i**3 + 66158980/3 - 15207685/3*i.
-5*(i - 4)*(i + 149)**3/3
Let n(t) = 29*t**3 - 3*t**2 + 702*t + 7424. Let p(l) = -32*l**3 + 3*l**2 - 705*l - 7424. Let g(f) = 11*n(f) + 10*p(f). Factor g(c).
-(c - 29)*(c + 16)**2
Let p(g) = 3803*g + 64653. Let x be p(-17). Factor 2/3*j**3 + 26/3*j**x + 46/3*j + 22/3.
2*(j + 1)**2*(j + 11)/3
Let f be (-1)/1 + 1470/280*4/14. Let t(y) be the first derivative of 0*y + 0*y**2 + 2/3*y**3 + 21 + f*y**4. Factor t(p).
2*p**2*(p + 1)
Find v, given that -3*v - 16/3 - 1/6*v**2 = 0.
-16, -2
Suppose 136*j**2 - 6*j**5 + 0 + 24*j + 32/3*j**4 + 386/3*j**3 = 0. Calculate j.
-3, -1, -2/9, 0, 6
L