mine s so that -2*s**2 + 149*s + 78 - 55*s - r*s = 0.
-3, 13
Factor -151/6*l**3 + 307/6*l**2 + 5/6 - 161/6*l.
-(l - 1)**2*(151*l - 5)/6
Suppose 3*u - 8872 = -z, 5*u - 5*z = -4*z + 14800. Let p = u + -1557. Determine c so that -1470*c**3 - 17*c**4 + 68*c - 28*c**2 + p*c**3 + 5*c**4 + 40 = 0.
-5, -1, -2/3, 1
Factor -987/5 + 1/5*r**2 + 986/5*r.
(r - 1)*(r + 987)/5
Let f(k) be the second derivative of -k**5/25 + 2*k**4 + 42*k**3/5 + 64*k**2/5 + k + 2686. Factor f(n).
-4*(n - 32)*(n + 1)**2/5
Let m(o) = 9*o**3 - o**2. Let t(y) = -52*y**3 + 125*y**2 - 182*y + 61. Let h(q) = 6*m(q) + t(q). Factor h(v).
(v - 1)*(v + 61)*(2*v - 1)
Let g(o) be the first derivative of 3*o**5/140 + 3*o**4/28 + o**3/7 - 75*o - 126. Let b(u) be the first derivative of g(u). Find s such that b(s) = 0.
-2, -1, 0
Let v(i) be the third derivative of 7/18*i**4 + 1/45*i**5 + 8/3*i**3 + 0 + 0*i - 14*i**2. Factor v(s).
4*(s + 3)*(s + 4)/3
Suppose 0 = -3*k + 329 - 80. Let y = k + -79. Factor -9*j**2 - 2*j**3 + j**2 + y*j + 2*j**3 + 4*j**3.
4*j*(j - 1)**2
Let y be (-3 - 330/(-100)) + 2/(-8). Let z(n) be the second derivative of -1/6*n**3 + 1/2*n**2 - 1/12*n**4 + y*n**5 + 7*n + 0. Factor z(s).
(s - 1)**2*(s + 1)
Let c(f) be the second derivative of f**5/170 - 13*f**4/34 - 214*f**3/51 - 264*f**2/17 - 3*f + 52. Find a, given that c(a) = 0.
-3, -2, 44
Suppose 5*g + 11 = -2*o, 2*o + 0*g = 4*g + 16. Let v be 5*4*(o + 259/(-140)). Factor 3/7*m - 18/7*m**2 + 18/7 - 3/7*m**v.
-3*(m - 1)*(m + 1)*(m + 6)/7
Factor -133*s**2 - 59*s**2 + 9336*s**4 - 9335*s**4 + 61*s**3.
s**2*(s - 3)*(s + 64)
Let h(p) be the first derivative of 1/12*p**3 + 7225/4*p + 85/4*p**2 - 236. Factor h(o).
(o + 85)**2/4
Let v = 369 + -306. Suppose 61*k = v*k. Solve 1/5*i**2 + k*i - 4/5 = 0 for i.
-2, 2
Let o = -86153 + 86155. Factor 2/13*m**3 - 6/13*m**o + 6/13 - 2/13*m.
2*(m - 3)*(m - 1)*(m + 1)/13
Determine f, given that 248/3*f**2 + 10*f**4 - 2/3*f**5 - 320/3 - 48*f + 188/3*f**3 = 0.
-2, 1, 20
Let j(i) be the second derivative of 1/12*i**4 + 31/2*i**2 + 0 - 1/6*i**3 - 1/60*i**5 + 6*i. Let f(u) be the first derivative of j(u). Factor f(g).
-(g - 1)**2
Let m(l) be the second derivative of l**7/24 + l**6/12 + l**3/6 + 46*l. Let a(s) be the second derivative of m(s). Factor a(r).
5*r**2*(7*r + 6)
Let o(l) = 6*l - 46. Let s be o(8). Suppose 5*q + 61*y = 67*y - 22, 0 = 5*q - 2*y - 6. Factor 4/11 - 10/11*z - s*z**q - 62/11*z**3 - 54/11*z**2.
-2*(z + 1)**3*(11*z - 2)/11
Let u be -3*26/1833 + (-30726)/(-6345). Factor -u*k + 0 - 3/5*k**2.
-3*k*(k + 8)/5
Factor 0*h + 3*h - 3*h + 7897*h**2 - h**3 - 7872*h**2.
-h**2*(h - 25)
Let z be (0 - 596)/(-3*(-14)/(-63)). Solve 1759 - 885 - z + 6*y + 2*y**2 = 0 for y.
-5, 2
Let g(t) be the first derivative of t**5/60 - 5*t**4/4 - 69*t**2/2 + 183. Let f(r) be the second derivative of g(r). Solve f(x) = 0 for x.
0, 30
Let g(f) be the third derivative of -1/4*f**4 + 1/30*f**6 + 0*f - 1/30*f**5 - 21*f**2 + 0*f**3 - 7. Factor g(a).
2*a*(a + 1)*(2*a - 3)
Suppose 2*z + 12 - 4 = 4*s, -4*z - s + 2 = 0. Suppose 7*x - 4 - 10 = z. Suppose 45*b**x - 25*b**4 + 26*b**4 - 46*b**2 = 0. What is b?
-1, 0, 1
Let d be ((-4)/10)/(32/800) + -136 + 151. Let -12/11*z**2 + 46/11*z - 18/11*z**4 + 30/11 - 4*z**3 - 2/11*z**d = 0. What is z?
-5, -3, -1, 1
Let i(r) be the first derivative of r**4 - 57 + 7*r**2 - 4*r - 1/3*r**6 - 16/3*r**3 + 4/5*r**5. Find u such that i(u) = 0.
-2, 1
Suppose -14*p + 26 = -16. Factor 8*r - 2*r**2 + 11*r**2 + 19*r**2 - 28*r**4 - 8*r**p.
-4*r*(r - 1)*(r + 1)*(7*r + 2)
Let f = -415 - -418. Let h(v) be the first derivative of 2/19*v**f + 19 + 5/19*v**2 - 2/95*v**5 - 1/38*v**4 + 4/19*v. Solve h(y) = 0.
-1, 2
Let k(h) = -14*h**4 + 16*h**3 + 2*h**2 + 4*h + 4. Let z(s) = s**4 - 2*s**2 - s - 1. Let p(w) = -k(w) - 4*z(w). Factor p(y).
2*y**2*(y - 1)*(5*y - 3)
Let n(s) be the third derivative of s**2 + 0 - 51*s + 1/12*s**5 + 5/24*s**4 - 10*s**3. Solve n(g) = 0 for g.
-4, 3
Let m = -301 + 305. Determine a, given that -87*a**2 + 63*a**3 + 151*a + 36*a**5 - 135*a - 152*a**m + 149*a**3 - 25*a**2 = 0.
0, 2/9, 1, 2
Let l(n) be the first derivative of -15 + 56/15*n**3 + 26/5*n**4 + 2/5*n**2 + 2/3*n**6 - 4/5*n + 76/25*n**5. Determine z, given that l(z) = 0.
-1, 1/5
Let -2*y**2 - 2/7*y**4 - 72/7*y + 16/7*y**3 + 72/7 = 0. What is y?
-2, 1, 3, 6
Factor 2598*s - 3/4*s**2 - 2249868.
-3*(s - 1732)**2/4
Let l(b) = -b**3 + 10*b**2 + 45*b + 450. Let c be l(15). Let r(q) be the second derivative of -1/42*q**4 + c - 100/7*q**2 + 8*q + 20/21*q**3. Factor r(f).
-2*(f - 10)**2/7
Let o(t) be the second derivative of 5/42*t**7 + 0*t**2 + 5/6*t**6 + 5/3*t**4 + 0*t**3 + 63*t + 0 + 2*t**5. Factor o(h).
5*h**2*(h + 1)*(h + 2)**2
Let v(j) be the first derivative of 92*j**2 - 4/3*j**3 + 4 - 2116*j. What is a in v(a) = 0?
23
Let f(i) be the third derivative of -29/15*i**5 + 0 + 100*i**3 - 2/105*i**7 - 35/6*i**4 + 0*i + 11/30*i**6 + 181*i**2. Solve f(d) = 0 for d.
-2, 3, 5
Let z(m) be the second derivative of m**6/180 + m**5/15 + m**4/3 - 17*m**3/3 - 36*m. Let b(k) be the second derivative of z(k). Factor b(t).
2*(t + 2)**2
Let r(m) be the first derivative of 5*m**7/84 - 47*m**6/48 - 5*m**5/4 + 5*m**2 - 7*m - 28. Let c(d) be the second derivative of r(d). What is s in c(s) = 0?
-3/5, 0, 10
Let 75 + 4*m**2 + 1709*m - 1725*m - 215 - 244 = 0. What is m?
-8, 12
Let p(m) = -2*m**2 - 18*m + 4. Let u be p(-13). Let h = -72 - u. Let -55*q + 27*q - 5*q**4 + 5*q**2 + h*q = 0. What is q?
-1, 0, 1
Let s(x) be the third derivative of 0*x - 79*x**2 - 2/105*x**6 + 0*x**4 + 1/35*x**5 + 0 + 0*x**3 + 2/735*x**7. Find z, given that s(z) = 0.
0, 1, 3
Factor 0*r + 0 - 2/15*r**2 + 22/3*r**3.
2*r**2*(55*r - 1)/15
Find z such that 20 + 129*z - 85*z**3 + 60*z**4 - 44*z - 83*z**2 + 24*z**4 - 10 - 11 = 0.
-1, 1/84, 1
Solve 16/3*n - 2/3*n**2 + 56 = 0.
-6, 14
Suppose -r = 5*r. Let i be (r + 2 + -4)*(-2)/2. Factor -6*y + 11*y + 4*y + 3*y**i.
3*y*(y + 3)
Suppose -2*q = 4*m - 230, 2*q - 45 = -m + 4*q. Let c be (-2)/(-6) + (-44)/(-3). Factor -c*d + 24*d**2 - m*d**2 + 26*d**2.
-5*d*(d + 3)
Let v = 1217 - 694. Let f = v + -523. Factor -2/3*g**2 - 7/3*g**3 + f*g + 0.
-g**2*(7*g + 2)/3
Let x = 3901852/5 - 780368. Find h, given that x - 2/5*h**2 - 2/5*h = 0.
-3, 2
Let v(q) be the second derivative of q**6/10 - 1254*q**5/5 + 174724*q**4 + 1118*q. Factor v(k).
3*k**2*(k - 836)**2
Let j(k) be the second derivative of 5*k**4/12 + 310*k**3 + 86490*k**2 - 616*k. What is z in j(z) = 0?
-186
Let a(u) be the second derivative of -u**4/48 + 59*u**3/24 + 93*u**2/4 + 1183*u. Find s, given that a(s) = 0.
-3, 62
Let b be (-7)/21 + (21/30 - 0)/((-150)/(-500)). Let 7/6*m**b + 1 - 1/6*m**3 - 1/6*m**4 + 13/6*m = 0. What is m?
-2, -1, 3
Find c such that 1411*c**3 - 2415/2*c**2 + 0 + 225*c + 409/2*c**4 + 7*c**5 = 0.
-15, 0, 2/7, 1/2
Let c(w) be the first derivative of -4*w**3/3 - 130*w**2 + 264*w + 1304. Solve c(g) = 0.
-66, 1
Let c(s) be the first derivative of -s**4/18 - 50*s**3/27 - 166*s**2/9 - 160*s/3 + 1165. What is b in c(b) = 0?
-15, -8, -2
Let o(f) = f**2 + 65*f + 659. Let h be o(-12). Let d(b) be the second derivative of -h*b + 0 + 25/6*b**3 + 5*b**2 + 5/6*b**4. Factor d(u).
5*(u + 2)*(2*u + 1)
Let s(n) = 2*n**2 - 82*n - 339. Let h(u) = 14*u**2 - 572*u - 2372. Let v(y) = 3*h(y) - 20*s(y). Factor v(b).
2*(b - 42)*(b + 4)
Let d(p) = -p**3 + 8*p**2 + 4*p - 77. Let g be d(7). Let c(l) be the second derivative of -3/14*l**3 + g + 31*l - 3/7*l**2 - 1/28*l**4. Factor c(r).
-3*(r + 1)*(r + 2)/7
Factor 32*k - 470*k + 104 + 4097*k**2 - 12265*k**2 + 4102*k**2 + 4153*k**2 + 4*k**3.
(k - 4)*(k + 26)*(4*k - 1)
Suppose -12*i + 3*o = -16*i + 53, 4*i - 57 = o. Let z(s) be the first derivative of -4/3*s**3 - 8*s + i - 6*s**2. Factor z(p).
-4*(p + 1)*(p + 2)
Let f(s) be the first derivative of 0*s + 8/9*s**2 + 74/45*s**5 + 7/27*s**6 + 11/3*s**4 + 88/27*s**3 + 13. Find i such that f(i) = 0.
-2, -1, -2/7, 0
Let d(y) be the second derivative of y**6/20 + 39*y**5/20 + 213*y**4/8 + 143*y**3 + 363*y**2 + 2*y - 1114. Factor d(t).
3*(t + 2)**2*(t + 11)**2/2
Suppose -4*p + 17 = -325*o + 320*o, -o - 2*p + 19 = 0. Suppose 0 = -r + 4*r. Determine k so that -8/5*k + r*k**2 + 2/5*k**o + 0 = 0.
-2, 0, 2
Let v(x) = -11*x + 46*x - 2*x**2 + 128 - 145. Let n be v(15). Determine k, given that -8 - 78 - 4*k**3 - 168*k