v - 3)
Factor -f**4 - 16*f**3 + 58*f**3 - 52*f**3 + 56*f**2.
-f**2*(f - 4)*(f + 14)
Let w(n) = 2*n**2 + 2*n - 20. Let z be w(3). Factor -93*u**2 - z*u**3 + 5*u**3 + 18*u + 104*u**2.
u*(u + 2)*(u + 9)
Let v(g) be the second derivative of 3 + 4*g - 2883/10*g**2 - 31/5*g**3 - 1/20*g**4. Factor v(c).
-3*(c + 31)**2/5
Let w(x) = 5*x**2 + 27*x + 16. Let j(v) = -16*v**2 - 84*v - 47. Suppose -3*r - 1 = -2*z - 3, 3*r - 3*z = 0. Let u(d) = r*j(d) + 7*w(d). Factor u(h).
3*(h + 1)*(h + 6)
Factor 4/7*a**4 + 1166400/7 + 444960/7*a - 824/7*a**3 + 38116/7*a**2.
4*(a - 108)**2*(a + 5)**2/7
Let u be -27 + (300/125 - -25). Factor -2*r**4 + 4/5*r + 18/5*r**3 - 14/5*r**2 + 0 + u*r**5.
2*r*(r - 2)*(r - 1)**3/5
Let o = 494876 + -494870. Solve 40/3*y + 14/3*y**2 - o*y**3 + 8/3 = 0 for y.
-1, -2/9, 2
Suppose -386*i - 369*i = -787*i. Factor 0*z**2 + i*z + 6/5*z**3 + 0 - 1/5*z**5 - z**4.
-z**3*(z - 1)*(z + 6)/5
Factor -1119*m - 48 - 1376729*m**4 + 498 + 1376726*m**4 + 885*m**2 - 213*m**3.
-3*(m - 2)*(m - 1)**2*(m + 75)
Let a(c) be the first derivative of -c**5/105 - c**4/168 - 7*c**2/2 + 74. Let d(n) be the second derivative of a(n). Factor d(u).
-u*(4*u + 1)/7
Factor -183/5*d + 74/5 - 33/5*d**3 + 143/5*d**2 - 1/5*d**4.
-(d - 2)*(d - 1)**2*(d + 37)/5
Let i(x) be the third derivative of 7*x**5/30 + 981*x**4 - 3364*x**3/3 + 7677*x**2 - 2. Factor i(a).
2*(a + 1682)*(7*a - 2)
Factor -18*i**2 + 83*i - 82*i - 48 + 354 + 17*i**2.
-(i - 18)*(i + 17)
Let y = -5002 + 9005. Let a be y/1 + (-1 - 7 - -5). Factor -12*b**3 - 36*b - a - 120*b**2 + 383*b + 16*b**3 + 853*b.
4*(b - 10)**3
Let u = 170 + -167. Factor -1618*z**u - 9 - 30591*z**2 - 1 - 2 + 31021*z**3 - 117*z + 1317*z.
3*(z - 1)*(99*z - 2)**2
Let y(o) be the second derivative of 7*o**5/10 + 499*o**4/6 + 142*o**3/3 - 760*o. Suppose y(f) = 0. What is f?
-71, -2/7, 0
Let i(r) be the first derivative of r**6/48 + r**5/80 - r**4/32 - 17*r - 69. Let g(y) be the first derivative of i(y). Factor g(v).
v**2*(v + 1)*(5*v - 3)/8
Let 72 + 87/2*f - 1/2*f**3 + 5*f**2 = 0. Calculate f.
-3, 16
Let d(l) be the third derivative of l**5/10 + 13*l**4/8 + 3*l**3 - 113*l**2 + 1. Factor d(c).
3*(c + 6)*(2*c + 1)
Factor 414 + 3031*u**3 + 3039*u**3 + 3040*u**3 - 9107*u**3 - 327*u + 54*u**2.
3*(u - 3)*(u - 2)*(u + 23)
Let m(s) be the first derivative of s**3 - 33*s**2 + 255*s - 911. Factor m(b).
3*(b - 17)*(b - 5)
Let m = -15/4 - -189/44. Let c = 1493/528 + -31/48. Suppose -m*u**4 - 6/11 - 36/11*u**2 + 24/11*u**3 + c*u = 0. Calculate u.
1
Let b(r) be the third derivative of 3721*r**5/270 - 244*r**4/27 + 64*r**3/27 - 7*r**2 - 15. Factor b(t).
2*(61*t - 8)**2/9
Let x(b) be the first derivative of -2*b**7/105 - b**6/30 + 4*b**5/15 + 2*b**4/3 + 31*b**2 - 43. Let h(p) be the second derivative of x(p). Factor h(v).
-4*v*(v - 2)*(v + 1)*(v + 2)
Let r(i) be the second derivative of 5/12*i**3 - 5/48*i**4 + 15/8*i**2 - 167*i + 0. Suppose r(d) = 0. What is d?
-1, 3
Let w(m) be the third derivative of 5/1008*m**8 + 0*m**3 + 0 + 0*m**4 + 187*m**2 + 32/3*m**6 - 8/21*m**7 + 0*m - 1024/9*m**5. Suppose w(p) = 0. Calculate p.
0, 16
Let o = -274 - -277. Factor 15*t**o - 35*t**3 + 22*t**3 - 11*t**2 - 7 - 20*t.
(t - 7)*(t + 1)*(2*t + 1)
Let c(m) = 11*m**2 - 831*m - 2466. Let p(u) = -155*u**2 + 11635*u + 34515. Let q(b) = 85*c(b) + 6*p(b). Suppose q(r) = 0. Calculate r.
-3, 168
Let w(q) be the third derivative of -3*q**2 + 0*q - 1/120*q**6 + 1/15*q**3 - 13/120*q**4 + 0 + 4/75*q**5. Factor w(i).
-(i - 2)*(i - 1)*(5*i - 1)/5
Let b be 1/1*(-1)/(-1). Let m(t) = t + 1. Let q(i) = -3*i**3 - 39*i**2 - 145*i - 109. Let a be (11 + -1)*115/1150. Let g(x) = a*m(x) + b*q(x). Factor g(n).
-3*(n + 1)*(n + 6)**2
Let i = -1856/3 - -620. Let m(q) be the third derivative of 0*q - 16*q**2 + 0 + 7/6*q**4 + 4/15*q**5 - i*q**3. Let m(u) = 0. Calculate u.
-2, 1/4
Let i be (-3 - -5)*((-1260)/(-8))/3. Let 75*u - 170*u**2 + i + 22*u**4 + 20 - 5*u**5 - 7*u**4 + 30*u**4 - 70*u**3 = 0. What is u?
-1, 1, 5
Let n(p) = -p**2 + p + 3. Let y be n(0). Factor -2*t**2 + 12*t**3 + 16 - 13*t**y - 16.
-t**2*(t + 2)
Let b(u) be the second derivative of u**6/6 - 15*u**5/4 + 245*u**4/12 - 95*u**3/2 + 55*u**2 + 150*u + 1. Factor b(m).
5*(m - 11)*(m - 2)*(m - 1)**2
Let q = -65/14 - -197/42. Let d(c) be the first derivative of -q*c**3 + 7 - 1/7*c**2 + 0*c. Solve d(w) = 0.
-2, 0
Let a(q) be the second derivative of -q**4/21 + 4484*q**3/21 - 2513282*q**2/7 + 658*q. Determine s, given that a(s) = 0.
1121
Let a(b) = 6*b - 64. Let x be a(11). Let w be (-456)/160 + x/8 - -3. Factor 0*s + 0 + 2/5*s**5 + w*s**4 + 0*s**2 + 0*s**3.
2*s**4*(s + 1)/5
Factor 98/3*f**4 + 2/3*f**2 - 200/3*f**3 - 100/3 + 199/3*f + 1/3*f**5.
(f - 1)**3*(f + 1)*(f + 100)/3
Suppose z = -15 + 23. Suppose -i + 10 = -z. Suppose 2*o**3 - 12 + i*o + 30 - 18 - 12*o**2 = 0. Calculate o.
0, 3
Let l(t) be the first derivative of 7*t**6/48 + 23*t**5/4 + 155*t**4/16 - 95*t**3/6 + 17*t**2/2 + 147. Let p(v) be the second derivative of l(v). Factor p(z).
5*(z + 1)*(z + 19)*(7*z - 2)/2
Let b = 3207 - 3192. Let u be ((-4)/10)/(1/(-5)). Factor 17*s**u + 3*s + 4*s - 9*s - b*s**2.
2*s*(s - 1)
Factor 41*i**3 + i**2 + 39*i**3 + 67*i**3 + 36 - 24*i - 146*i**3.
(i - 3)*(i - 2)*(i + 6)
Let v be 30 - (567/45 + 17). Solve -4/5*d + v*d**2 - 6/5 = 0 for d.
-1, 3
Suppose -11 = 3*r + 3*h - 2, r = 3*h + 17. Factor 0*b + 16 + 5*b**r + b + 17*b - 3*b**2.
2*(b + 1)*(b + 8)
Let h be (11 + -12)*3/(-9)*0. Let 2*p**3 - 4*p - p**3 + 3*p + h*p**2 + 6 - 6*p**2 = 0. Calculate p.
-1, 1, 6
Let u(c) = 2*c**2 + 3*c - 6. Let f be u(2). Suppose -12 = f*d - 44. Solve 9*p**3 - 16*p - 6*p**4 + 3*p**3 + 16*p**2 - 17*p**5 + 13*p**5 - 2*p**d = 0.
-2, 0, 1
Factor 41*r**2 - 20*r**2 - 176*r - 81*r**2 + r**3 - 5*r**3.
-4*r*(r + 4)*(r + 11)
Let n = -515823/5 - -103173. Suppose 3/5*t**3 - n*t**2 + 3/5*t**5 - 24/5 + 12/5*t**4 - 12*t = 0. Calculate t.
-2, -1, 2
Let k(v) = 1440*v - 100798. Let w be k(70). Factor -1/7*d**4 + 0 - 1/7*d**5 + 3/7*d**3 + 2/7*d + 5/7*d**w.
-d*(d - 2)*(d + 1)**3/7
Determine b so that 21695*b - 571 - 22436*b - 232 + 59 + 3*b**2 = 0.
-1, 248
Let u be 51/(2601/6) - 4/(544/(-52)). Let -u*a**2 + 3/2*a + 0 = 0. Calculate a.
0, 3
Find r such that 5 + 166*r**2 - 41 - 172*r**2 + 110*r = 0.
1/3, 18
Suppose 14 - 14 = 2*q - 6*q. Let n(o) be the second derivative of 1/15*o**3 + 22*o + 1/30*o**4 - 6/5*o**2 + q. Suppose n(s) = 0. Calculate s.
-3, 2
Let u be 0*((-2)/11 + (-36)/44). Let d = u + 2. Factor 4*t**d - 50*t + 43 + 119 + t**2 - 37.
5*(t - 5)**2
Let v(z) be the second derivative of 0 + 1/12*z**3 + 63*z - 1/96*z**4 - 3/16*z**2. Factor v(y).
-(y - 3)*(y - 1)/8
Let w(x) be the first derivative of 1548*x**3 + 168/5*x**5 - 3564*x**2 + 3888*x - 4/3*x**6 - 16 - 657/2*x**4. Let w(b) = 0. Calculate b.
3/2, 6
Find r, given that 1/5*r**3 + 156/5 - 157/5*r + 0*r**2 = 0.
-13, 1, 12
Suppose -261*c - 558 = 2*z - 258*c, -4*c = 5*z + 1388. Let v = z - -278. Factor -1/5*r**v - r - 6/5.
-(r + 2)*(r + 3)/5
Factor 1359/2*a - 3/2*a**3 - 42*a**2 - 1620.
-3*(a - 9)*(a - 3)*(a + 40)/2
Let m(g) be the third derivative of -g**6/120 - g**5/5 - 3*g**4/8 + 11*g**3/3 - 3*g**2 - 14. Find z such that m(z) = 0.
-11, -2, 1
Solve 2*z**2 + 44*z + 28*z + 20 - 135*z + 41*z = 0 for z.
1, 10
Let y(a) = -28*a**2 + 1822*a - 128. Let w be y(65). Let 3*j**w + 6*j**4 + 3/2*j**5 + 0*j + 15/2*j**3 + 0 = 0. What is j?
-2, -1, 0
Suppose 824*w = 819*w + 3*k - 4, -w - 4*k = -36. Find v, given that 4/3*v**3 + 0 + w*v**2 + 0*v = 0.
-3, 0
Let j = 456973 - 2284837/5. Find b, given that -j - 4/5*b + 4/5*b**3 + 28/5*b**2 = 0.
-7, -1, 1
Let d be (-20*4/(-25))/(4/590). Let v = d - 2334/5. Suppose -8/5*w**4 + v*w**3 + 14/5*w - 2/5 - 6*w**2 = 0. What is w?
1/4, 1
Let x be (16/(-18) - 1352/(-4680)) + (-17)/(-5). Suppose -13/5 - 1/5*i**2 - x*i = 0. What is i?
-13, -1
Solve 1006927*c**2 - 1006923*c**2 + 164*c + 233 + 223 = 0 for c.
-38, -3
Let p(f) be the third derivative of f**7/560 - f**6/320 - f**5/80 - 462*f**2. Factor p(l).
3*l**2*(l - 2)*(l + 1)/8
Suppose 2*x - 7*x + 2535 = -5*a, -1013 = -2*x + 3*a. Let i = x + -504. Solve -1/8*p**5 - 1/8*p**2 + 1/8*p**i - p + 5/8*p**3 - 1/2 = 0.
-1, 2
Let m(x) = 379*x**2 + 405*x + 59. Let d(n) = 126*n**2 + 135*n + 21. Let f = -300 - -296. Let j(l) = f*m(l) + 11*d(l). Factor j(q).
-5*(q + 1)*(26*q + 1)
Let f(i) = i**