/60 + m**4/36 - 27*m + 104. Let r(h) be the first derivative of j(h). Find l such that r(l) = 0.
-1, 0
Let l(r) be the third derivative of -r**5/330 + 17*r**4/33 - 1156*r**3/33 - 459*r**2. Factor l(p).
-2*(p - 34)**2/11
Let o(c) be the second derivative of -8/5*c**2 - 186*c + 6/5*c**3 - 2/15*c**4 + 0. Factor o(r).
-4*(r - 4)*(2*r - 1)/5
Let u be (-46)/(-8) + (-2 - 0). Let o be ((-2580)/(-90) - 28) + ((-97)/(-12) - -1). Find n such that 33/4*n**3 + 3 + u*n**5 - 12*n - 51/4*n**4 + o*n**2 = 0.
-1, 2/5, 1, 2
Let i(c) be the second derivative of 0 - 1/3*c**4 + 2*c**3 + 0*c**2 - 1/30*c**5 + 20*c + 1/90*c**6. Let z(q) be the second derivative of i(q). Factor z(n).
4*(n - 2)*(n + 1)
Let n(a) = a - 1. Let k(r) = -4*r**3 + 12*r**2 + 12*r - 20. Let h = -290 - -289. Let o(w) = h*k(w) + 8*n(w). Factor o(v).
4*(v - 3)*(v - 1)*(v + 1)
Let u(b) be the first derivative of -b**9/1008 + 3*b**8/560 - b**7/140 + b**3/3 + 6*b**2 - 153. Let n(s) be the third derivative of u(s). Factor n(r).
-3*r**3*(r - 2)*(r - 1)
Let p = -26629 + 26634. Let k(i) be the first derivative of -2/9*i**3 + 2/45*i**p - 4/9*i - 34 - 1/18*i**4 + 5/9*i**2. Factor k(d).
2*(d - 1)**3*(d + 2)/9
Let q(i) = -3*i**2 - 52*i + 2. Let p(n) = n**2 + 17*n - 2. Suppose -5*o - 20 - 30 = -5*y, -8 = 2*o + y. Let m(r) = o*q(r) - 17*p(r). Find w such that m(w) = 0.
-22, -1
Suppose 0 = -84*s + 81*s + 63. What is t in -33*t**3 + 27 - 38*t - s*t**3 + 3*t**5 + 89*t - 21*t**4 - 6*t**2 = 0?
-1, 1, 9
Factor 12/5*h**3 - 4 + 4*h**2 - 12/5*h.
4*(h - 1)*(h + 1)*(3*h + 5)/5
Let s = 47556 + -47554. Factor -u + 1/4*u**s + 3/4.
(u - 3)*(u - 1)/4
Let r(a) be the second derivative of -a**6/50 - 87*a**5/50 - 577*a**4/20 + 3828*a**3/5 - 26136*a**2/5 + 4079*a. Factor r(u).
-3*(u - 4)**2*(u + 33)**2/5
Suppose -523/2*b + 2*b**2 - 131/2 = 0. What is b?
-1/4, 131
Let i be (-9)/(-15) + -2 + 88/20. Let -60*p**4 + 6 - 551*p**3 + 186*p**i - 76*p - 115*p**4 - 258*p**2 - 14 = 0. Calculate p.
-1, -2/5, -2/7
Let m(p) be the second derivative of p**6/10 + 159*p**5/5 + 2809*p**4 + 1736*p. Factor m(k).
3*k**2*(k + 106)**2
Suppose -1/2*c**2 - 68450 + 370*c = 0. What is c?
370
Find g such that 10/23*g**4 + 68/23*g - 74/23*g**3 + 48/23 + 6/23*g**5 - 58/23*g**2 = 0.
-4, -1, -2/3, 1, 3
Let g = -2483/4 + 623. Let v = -912/11 + 7461/88. Factor g + 3/8*u**2 - v*u.
3*(u - 3)*(u - 2)/8
Let v(l) = 6*l**2 - 36*l - 39. Let y be v(7). Let b(r) be the second derivative of -1/18*r**4 + 0 - 7*r + 1/3*r**2 + 0*r**y. Determine g, given that b(g) = 0.
-1, 1
Suppose -85*l + 89*l = 0. Suppose 3*v - 17475 = -4*d + 9*d, -5*d = l. Determine k, given that -5826*k**3 + 2*k + v*k**3 + 4*k**2 - k - 4 = 0.
-1, 1, 4
Let h(j) be the third derivative of j**10/60480 - j**9/15120 + j**8/13440 - 119*j**4/24 - 55*j**2. Let o(n) be the second derivative of h(n). Solve o(p) = 0.
0, 1
Let k = 576 + -413. Find r, given that 212*r - k*r**2 + 79*r**2 + 88*r**2 = 0.
-53, 0
Let t = 85 + -81. Suppose -4*d + 31 = 5*v, 0*v + 2*v - t*d = -10. Find w, given that 31*w + 53*w - w**3 - 32*w**2 - 3*w**3 + 8*w**v - 72 = 0.
2, 3
Solve 52*s - 1008/5 - 2/5*s**2 = 0 for s.
4, 126
Suppose 0*t + t + 0*t = 0. Let i be (2/130)/((-423)/(-4230)). Solve -10/13*v**2 + t - i*v**3 + 0*v = 0 for v.
-5, 0
Let x(p) be the third derivative of p**5/120 - 989*p**4/24 + 978121*p**3/12 - 9*p**2 - 4*p. Find y, given that x(y) = 0.
989
Suppose 17*y - 49 = 2. Factor 49 - 21 - 22 + 39*q**3 - 27*q**2 - 15*q**4 - y*q.
-3*(q - 1)**3*(5*q + 2)
Let u(k) = 3*k + 60. Let o be u(-20). Let z be o - 21/(-6) - (-7)/(-14). Determine y so that 0 + 4/7*y + 2/7*y**z - 6/7*y**2 = 0.
0, 1, 2
Factor -56*o**3 + 459*o**2 + 0 + 578/3*o + 5/3*o**4.
o*(o - 17)**2*(5*o + 2)/3
Suppose g = -4*y + 19, 1401 = -3*y + 14*g + 1312. Factor 0*o + 0 - 3/8*o**3 + y*o**2.
-3*o**2*(o - 8)/8
Determine u, given that 23*u**3 - 45*u + 5*u**5 - 47*u**4 + 42*u**3 + 45*u + 570*u**2 - 53*u**4 = 0.
-2, 0, 3, 19
Let x(p) be the second derivative of 3/8*p**5 - 3/16*p**4 + 0*p**3 + 9*p + 0*p**2 + 3. Suppose x(k) = 0. Calculate k.
0, 3/10
Let v(y) be the first derivative of -3*y**4/20 - 14*y**3 - 207*y**2/10 - 4466. Suppose v(i) = 0. What is i?
-69, -1, 0
Let j(y) = 60*y**2 + 6*y - 1. Let u be j(1). Factor 163*p**2 + u*p + 165*p**2 - 323*p**2 + 60.
5*(p + 1)*(p + 12)
Let o(h) be the first derivative of -h**4/28 + 11*h**3/21 + 4*h**2 + 60*h/7 - 429. Factor o(f).
-(f - 15)*(f + 2)**2/7
Let -384/7*x**2 - 92/7*x**3 - 528/7*x - 208/7 - 3/7*x**4 = 0. What is x?
-26, -2, -2/3
Let v(q) be the first derivative of q**4/30 + 2248*q**3/45 - 2251*q**2/15 + 2252*q/15 + 5142. Factor v(s).
2*(s - 1)**2*(s + 1126)/15
Let h(y) = 11*y**2 + 2*y - 2. Let j = 127 - 118. Let n be h(j). Factor 0*c**2 + n - 859 + 31*c - 7*c + 3*c**2.
3*(c + 4)**2
Let g(w) = -5*w**3 - 4*w**2 + w + 6. Let y(c) = -4*c**2 + 2*c + 14. Let n(z) = -z**3 - 1. Let u(k) = 6*n(k) + y(k). Let j(f) = 4*g(f) - 3*u(f). Factor j(b).
-2*b*(b + 1)**2
Suppose 2*n + 168 = 3*m + m, -2*n = m - 52. Suppose 31 - 35 = -w, c = -w + m. Determine y, given that -c*y + 100 - 48*y**2 - 4/5*y**4 - 56/5*y**3 = 0.
-5, 1
Let r(x) be the first derivative of x**3/8 - 9*x**2/2 + 30*x + 1055. Factor r(y).
3*(y - 20)*(y - 4)/8
Suppose -54*b - 75*b + 258 = 0. Let p(w) be the second derivative of 1/30*w**3 + 1/100*w**5 + 0 + 0*w**b - 1/30*w**4 + w. Factor p(d).
d*(d - 1)**2/5
Let h(r) = -2*r**2. Let o(f) = 18*f - 44. Let j be o(3). Let s(n) = -12*n**2 + 4*n. Let w(a) = j*h(a) - 2*s(a). Factor w(l).
4*l*(l - 2)
Let g be 2 + -23 - (-50 - -26). Suppose 22/9*h + 2/9*h**g - 4/3*h**2 - 4/3 = 0. Calculate h.
1, 2, 3
Let w(s) be the third derivative of s**5/72 + 10*s**4 + 1435*s**3/36 + 780*s**2. Factor w(u).
5*(u + 1)*(u + 287)/6
Let x(j) = 2*j**2 + 19*j + 41. Let k be x(-3). What is w in 17*w + 5968*w**2 + 2*w**3 - 5960*w**k - 2*w**3 + w**3 + 10 = 0?
-5, -2, -1
Determine t, given that -154/9*t**3 + 2/9*t**4 + 0 + 154/9*t - 2/9*t**2 = 0.
-1, 0, 1, 77
Suppose 35*q = 585 - 270. Suppose 3*v - c + 6 - 21 = 0, 5*c = 0. Let 2*g**v - g**4 - 10*g**3 - q*g**2 + 7*g**4 - 2*g**2 + 8*g + 5*g**2 = 0. Calculate g.
-4, -1, 0, 1
Let i be -63 - (-32)/(-8) - -70. Factor 9/4*q**i + 0 + 5/4*q**4 + 1/4*q**5 + 7/4*q**2 + 1/2*q.
q*(q + 1)**3*(q + 2)/4
Let d = 2540598/2665 - 597/533. Let k = d + -952. Factor 11/5*f**2 + 0*f**3 - k*f**4 + 8/5 + 18/5*f.
-(f - 4)*(f + 1)**2*(f + 2)/5
Factor -182/5 - 184/5*i**2 + 1/5*i**3 + 73*i.
(i - 182)*(i - 1)**2/5
Let x(a) be the third derivative of a**8/2856 + a**7/357 + 2*a**6/255 + 2*a**5/255 - a**2 - 87*a - 2. Determine q so that x(q) = 0.
-2, -1, 0
Let y(h) = -4*h**3 - 11*h**2 - 6*h + 26. Let z(m) = m**2 - 2*m + 2. Suppose 0 = 27*s - 13*s + 14. Let b(l) = s*y(l) + 5*z(l). Factor b(k).
4*(k - 1)*(k + 1)*(k + 4)
Factor 15/2*l + 15*l**2 - 25 + 5/2*l**3.
5*(l - 1)*(l + 2)*(l + 5)/2
Let v(w) be the first derivative of -1/12*w**3 - 24 - 5/2*w**2 - 19/4*w. Let v(i) = 0. Calculate i.
-19, -1
Factor -81*f - 74*f + 490 - 103*f**2 + 260 + 108*f**2.
5*(f - 25)*(f - 6)
Let v(m) be the second derivative of -120*m - 1/24*m**4 + 2 - 9/4*m**2 - 5/6*m**3. Let v(k) = 0. Calculate k.
-9, -1
Suppose -82*v + 86*v - 20 = 0. Suppose v*x - 120 + 0 = 0. Factor -18*j**3 + 6*j**3 - x*j - 55*j**4 + 52*j**4 - 36*j**2 - 6*j**3.
-3*j*(j + 2)**3
Let w(y) be the third derivative of 0*y - 25/48*y**4 + 1/240*y**5 + 8 + 0*y**3 - 7*y**2. Factor w(q).
q*(q - 50)/4
What is i in 512/3*i**2 - 1/3*i**4 - 170*i**3 + 170*i - 511/3 = 0?
-511, -1, 1
Suppose -z - 4*b + 193 = 0, 5*z - 3*b = -4*b + 1003. Suppose 10*j + 171 - z = 0. Factor 1/6*a**5 - 1/3*a**4 - 1/6*a + 0 + 0*a**j + 1/3*a**2.
a*(a - 1)**3*(a + 1)/6
Let x(b) be the third derivative of -b**6/30 - 4*b**5/5 + 61*b**4/6 - 32*b**3 + 3*b**2 + 164. Factor x(d).
-4*(d - 3)*(d - 1)*(d + 16)
Let f = 1253279 + -21305689/17. What is u in f*u - 2/17*u**2 + 0 = 0?
0, 27
Find w, given that -73/5*w**3 - 48/5 - 142/5*w - 3*w**4 - 1/5*w**5 - 153/5*w**2 = 0.
-8, -3, -2, -1
Let 150152*c + 1/6*c**3 + 274*c**2 + 82283296/3 = 0. Calculate c.
-548
Let x = -212965 - -212967. Factor 0*s - 8/7 + 2/7*s**x.
2*(s - 2)*(s + 2)/7
Let l be (((-262300)/10)/(-10))/1. Let r be 1*-9 + l/215. Suppose 16/5*i**2 - 4/5*i**3 - r*i + 0 = 0. Calculate i.
0, 2
Let m(r) be the third derivative of 0*r**3 - 3 + 4*r**2 + 0*r + 13/90*r**4 + 1/450*r**5. Factor m(j).
2*j*(j +