 such that -s*h**3 + 2/15*h - 2/15*h**2 + 2/15 = 0.
-1, 1
Let t(y) be the third derivative of 7/160*y**5 + 1/960*y**6 + 15*y**2 + 17/12*y**3 + 0*y + 0 + 3/8*y**4. Find i such that t(i) = 0.
-17, -2
Suppose 691*a - 693*a = 2*x + 18, 1 = -5*x - a. Factor 4/21 - 2/7*o + 2/21*o**x.
2*(o - 2)*(o - 1)/21
Factor -14378114/15*f - 28532734/15*f**2 + 0 + 4/15*f**5 + 29722*f**3 - 2314/15*f**4.
2*f*(f - 193)**3*(2*f + 1)/15
What is v in 4 - 7*v**4 + 56*v - 5*v**5 - 286*v + 31*v**2 + 13*v**3 + 58*v + 140*v + 52*v = 0?
-1, -2/5, 2
Factor 2/3*f**4 - 2/3*f + 2/3 - 2/3*f**5 + 4/3*f**3 - 4/3*f**2.
-2*(f - 1)**3*(f + 1)**2/3
Suppose -273*y + 270*y = 0. Suppose y = 2*k - 2*i, -2*k + 5*i - 13 = -1. Factor -3/7*g**3 + 3/7*g + 2/7 - 1/7*g**k - 1/7*g**2.
-(g - 1)*(g + 1)**2*(g + 2)/7
Let p(s) be the third derivative of s**6/30 + 13*s**5/15 - 4*s**4/3 - 160*s**3 - s**2 + 3886*s. Suppose p(r) = 0. Calculate r.
-12, -5, 4
Let z(x) be the second derivative of -x**4/42 + 57*x**3/7 - 170*x**2/7 + 185*x. Factor z(s).
-2*(s - 170)*(s - 1)/7
Let k(r) be the third derivative of r**7/210 + r**6/3 - 57*r**5/20 + 109*r**4/12 - 44*r**3/3 - 6919*r**2. Let k(c) = 0. Calculate c.
-44, 1, 2
Let f be 2176/1156 + 2/17 + 40/(-21). Let x(d) be the second derivative of 0 + 0*d**4 + 0*d**2 + 20*d + 0*d**6 + 0*d**3 - f*d**7 + 1/5*d**5. Factor x(c).
-4*c**3*(c - 1)*(c + 1)
Let m(x) = -x**3 + 10*x**2 - 25*x + 8. Let g be m(6). Let 1984*d**3 + 2431*d**2 - 10090*d**g + 16896*d - 4096 - 21*d**4 - 9765*d**2 - 39*d**4 = 0. Calculate d.
2/5, 2/3, 16
Suppose 0 = 4*c - m - 7, -8*c - 17*m + 20 = -13*m. Find p such that 5/2*p**4 + 7/2*p**3 - 4*p**c + 0 - 2*p = 0.
-2, -2/5, 0, 1
Let x be (3/(-45))/((-17)/(-34323)). Let b = x - -135. Factor -4/5*r**2 + 4/5*r - 3/5*r**3 + 1/5*r**5 + b*r**4 + 0.
r*(r - 1)**2*(r + 2)**2/5
Let i(w) = -3*w**2 + 7*w. Let b(j) = 2*j**2 - 8*j. Let v be 5 - -8*5/(-40). Let m(l) = v*b(l) + 3*i(l). Factor m(d).
-d*(d + 11)
Let y = 7903/86 - 791/43. Factor 1/6*a**2 + 7*a + y.
(a + 21)**2/6
Let l be (-8 - 144/(-27))*(-6)/8. Let o(n) be the second derivative of 0 - 3/35*n**5 + 10/21*n**4 - 8*n - 16/7*n**l - 8/21*n**3. What is v in o(v) = 0?
-2/3, 2
Suppose 23*g - 1708 + 903 = 0. Suppose -51*d - 5*o = -55*d + g, -1 = -o. Determine p so that -d*p**2 + 8/3*p + 2/3*p**4 + 8/3 - 40/3*p**3 + 4*p**5 = 0.
-1, -2/3, 1/2, 2
Let s(m) = -47*m - 3428. Let r be s(-73). Let u(w) be the first derivative of -4 + 0*w**2 - 1/10*w**6 - 21/20*w**4 + 3/5*w**5 + 0*w + 3/5*w**r. Factor u(f).
-3*f**2*(f - 3)*(f - 1)**2/5
Let r be 4/(-814)*(-1211 - -1174). Factor r*p**2 + 60/11 + 26/11*p.
2*(p + 3)*(p + 10)/11
Let w(v) be the second derivative of 3/10*v**5 + 0 - 1/40*v**6 + 17*v**2 + 0*v**4 + 0*v**3 + 17*v. Let x(k) be the first derivative of w(k). Factor x(g).
-3*g**2*(g - 6)
Let j = 21944/1065 - -331/71. Let w = -73/5 + j. Let 0 + 8/3*o**2 - 4/3*o**3 + w*o = 0. What is o?
-2, 0, 4
Let g(q) be the second derivative of 10*q**2 - 24*q + 28/3*q**3 + 0 + 2/5*q**5 + 4*q**4 - 2/15*q**6. Find h such that g(h) = 0.
-1, 5
Let n(p) be the second derivative of -p**4/4 + 379*p**3/6 + 127*p**2 - 4845*p. Solve n(j) = 0.
-2/3, 127
Let a(d) be the third derivative of d**7/21 + 3*d**6/8 - 181*d**5/12 + 105*d**4 - 520*d**3/3 + 1419*d**2. Let a(z) = 0. Calculate z.
-13, 1/2, 4
Let k(i) = -4*i**2 + 33*i - 7. Let t be k(8). Let s be (t*10/(-8))/(60/(-32)). Factor 2/3 - s*q**3 + 2*q**2 - 2*q.
-2*(q - 1)**3/3
Suppose 0 = 5*a + 5, -5*o - 144 = 2*a - 42. Let q(g) = 1 - 1 - 1 + 3*g - 4*g. Let f(j) = -5*j**2 - 11*j - 6. Let w(l) = o*q(l) + 5*f(l). Factor w(t).
-5*(t + 1)*(5*t + 2)
Let m be (710/25)/(-4 + (-162)/(-40)). Solve 90 + 4*k**3 + 60*k**2 - 158 + 300*k + m = 0.
-5
Let i(q) = -3*q**2 + 4*q**2 + 26 + 15*q - 15*q. Let h(d) = -3*d**2 + d - 75. Let k(j) = -6*h(j) - 17*i(j). Solve k(z) = 0.
2, 4
Let d = -109 - -277. Let l be 16/6*(558/d + -3). Determine m so that 9/7*m**5 - 18/7*m**2 + 24/7*m**4 + 12/7*m**3 - 3*m - l = 0.
-1, -2/3, 1
Let d(a) = -3*a**3 - 18*a**2 - 17*a + 12. Let b be d(-5). Factor 44*y**3 + 33 - 40*y - 10*y**2 - 4*y**4 - b*y**2 + 3 - 4*y**3.
-4*(y - 9)*(y - 1)**2*(y + 1)
Let h be (5 + (10686/546)/(-3*1))*-18. Factor -36/7 - 285/7*x**2 - h*x - 75/7*x**3.
-3*(x + 3)*(5*x + 2)**2/7
Let i(k) = 2*k**2 + 2*k - 12. Let x be i(-11). Let v = -128 + x. Factor 15 - 99*d - v*d**3 + 19*d + 54*d**4 + 130*d**2 - 39*d**4.
5*(d - 3)*(d - 1)**2*(3*d - 1)
Let j(v) be the third derivative of 1/3*v**4 - 2/105*v**7 + 4 + 0*v + 1/15*v**5 + 0*v**3 - 1/15*v**6 + v**2. Factor j(c).
-4*c*(c - 1)*(c + 1)*(c + 2)
Let x(m) be the second derivative of m**5/20 + 15*m**4/4 + 22*m**3/3 - 417*m - 5. Factor x(h).
h*(h + 1)*(h + 44)
Let l(m) be the second derivative of m**4/54 - 10*m**3/9 - 559*m**2/9 + m + 755. Factor l(u).
2*(u - 43)*(u + 13)/9
Let d = -423 + 425. Factor -300 - d*o**4 + 300 - 18*o**3.
-2*o**3*(o + 9)
Let r(h) = 3*h**2 - 20*h + 14. Let y be r(6). Factor 18*m + 8 + 4*m**4 + 22*m + 36*m**y - 12*m + 20*m**3.
4*(m + 1)**3*(m + 2)
Suppose -3441*l**5 - 15*l**4 + 13*l**4 - l**3 + 1724*l**5 + 2*l**2 + 1718*l**5 = 0. What is l?
-1, 0, 1, 2
Factor 448*l**2 + 66*l**3 + 1/2*l**5 - 14*l**4 + 0 + 512*l.
l*(l - 16)**2*(l + 2)**2/2
Let b(i) be the third derivative of -i**5/240 - 661*i**4/48 + 331*i**3/3 + 13511*i**2. Factor b(g).
-(g - 2)*(g + 1324)/4
Let w = 129/856 + 94113/5992. Suppose -w + 219/7*v - 15*v**2 - 3/7*v**3 = 0. Calculate v.
-37, 1
Determine d, given that 192 + 632/3*d + 170/9*d**2 + 2/9*d**3 = 0.
-72, -12, -1
Let w = 64071/7016 + -7680/877. Let 3/4*p**2 + 9/8*p**3 + 0 + w*p**4 + 0*p = 0. Calculate p.
-2, -1, 0
Suppose -180 = 2349*f - 2409*f. Determine s, given that 3/4*s**2 - s + 0 + 1/4*s**f = 0.
-4, 0, 1
Let w(z) = z**4 + 9*z**3 - 19*z**2 + 12*z - 3. Let r(n) = 3*n**4 - n**3 - n**2 - 2*n + 1. Let y(d) = r(d) - w(d). Find k, given that y(k) = 0.
1, 2
Suppose 0 = 5*w - 35 + 20. Solve -z**4 + 266*z**w + 5*z**4 - 254*z**3 + 8*z**2 = 0 for z.
-2, -1, 0
Let c(y) be the second derivative of 0 - 1/70*y**5 + 7*y + 1/42*y**4 - 2*y**3 - 2/315*y**6 + 0*y**2. Let a(k) be the second derivative of c(k). Factor a(s).
-4*(s + 1)*(4*s - 1)/7
Suppose -k - 5*v = 5, 2*k + 5*v + 95 - 90 = 0. Let g(a) be the third derivative of k*a + a**2 - 1/3*a**3 + 0 - 2/15*a**5 - 1/3*a**4. Factor g(j).
-2*(2*j + 1)**2
Suppose -4/3 - 1036*f - 201243*f**2 = 0. Calculate f.
-2/777
Solve 65*x**2 + 0 + 194/3*x + 1/3*x**3 = 0.
-194, -1, 0
Let g = 4503 + -4499. Let d(h) be the second derivative of -1/4*h**g - 3/40*h**5 + 0 - 1/3*h**3 - 1/120*h**6 + 15*h + 0*h**2. What is v in d(v) = 0?
-2, 0
Let j be ((-6)/10)/(8/(0 + 120)). Let x(n) = -4*n**3 + 24*n**2 - 20*n + 18. Let f(s) = s**3 - 6*s**2 + 5*s - 4. Let q(k) = j*f(k) - 2*x(k). Factor q(g).
-g*(g - 5)*(g - 1)
Determine l so that 81*l + 0 + 1413/2*l**2 + 154*l**3 + 17/2*l**4 = 0.
-9, -2/17, 0
Suppose 13794*x = 13817*x. What is z in 1/3*z**4 - z + 7/3*z**2 - 5/3*z**3 + x = 0?
0, 1, 3
Let d(m) be the first derivative of 164 - 4/3*m**3 - 324*m - 36*m**2. Let d(v) = 0. Calculate v.
-9
Suppose -3*m + 4 - 49 = 0. Let v = 18 + m. Factor -2*w**4 - 17*w**2 + w**2 + w + 7*w - 2*w**3 + 12*w**v.
-2*w*(w - 2)**2*(w - 1)
Let n(r) be the second derivative of -1/10*r**5 + 1/3*r**3 - 1/90*r**6 + 0*r**2 - 143*r + 1/36*r**4 + 0. Suppose n(v) = 0. Calculate v.
-6, -1, 0, 1
Let a(o) be the first derivative of o**5/90 - 7*o**4/54 + 11*o**3/27 - 5*o**2/9 - 49*o - 44. Let f(x) be the first derivative of a(x). Solve f(l) = 0 for l.
1, 5
Solve 375/2 - 190*u + 5/2*u**2 = 0.
1, 75
Let w(i) = i**3 + 16*i**2 - 16*i - 6. Let z be w(-17). Let s = z + 25. Find q, given that 20*q**s - 12*q**4 + 32*q**3 - 71*q**2 + 23*q**2 + 8*q = 0.
0, 2/3, 1
Let c(u) be the second derivative of 4*u**7/273 + 23*u**6/195 + 3*u**5/13 + 7*u**4/78 - 4*u**3/39 - 61*u - 30. Solve c(q) = 0.
-4, -1, 0, 1/4
Let s(t) = -7*t**2 + 932*t + 1. Let g(m) = 5*m**2 - 8*m - 1. Let h(k) = 2*g(k) + 2*s(k). What is f in h(f) = 0?
0, 462
Let r = 25160 - 54633/2. Let s = r - -2160. Factor s*o + 1/6*o**2 + 1/6*o**4 - 5/6*o**3 - 3.
(o - 3)**2*(o - 1)*(o + 2)/6
Let u(j) be the first derivative of -23 + 32*j + 8*j**2 - 14/3*j**3 + 1/2*j**4. Factor u(h).
2*(h - 4)**2*(h + 1)
Let n(k) be the first derivative of -2/21*k**3 - 162/7*k + 18/7*k**2 + 10. Factor n(q).
-2*(q - 9)**2/7
Let z(b) = 2*b**4 - 12*