Factor -4/7*g**b + w + 4*g.
-4*g*(g - 7)/7
Let h(k) be the first derivative of k**4/4 - k**3/3 - 22*k**2 - 96*k + 4365. Let h(t) = 0. Calculate t.
-4, -3, 8
Let v = 702641/1995135 + -42/28915. Let u = v - 2/115. Factor -u*y - 1/3*y**4 - y**2 + 0 - y**3.
-y*(y + 1)**3/3
Suppose -2*q + 78 = 2*d, -2*d + 6*d - 170 = 3*q. Let r be (-533)/d*4/(-10). Factor 2/5*v**5 + 8/5*v + 0 + r*v**3 + 12/5*v**4 + 24/5*v**2.
2*v*(v + 1)**2*(v + 2)**2/5
Let l(w) be the first derivative of w**7/1680 - w**6/120 + 2*w**4/3 - w**3 - w**2 + 115. Let n(i) be the third derivative of l(i). Factor n(k).
(k - 4)**2*(k + 2)/2
Determine o so that 173/4*o - 85/4*o**3 - 265/4*o**2 + 1/2 + 263/4*o**4 - 22*o**5 = 0.
-1, -1/88, 1, 2
Let z(b) be the second derivative of -1/4*b**3 + 0*b**2 + 39*b - 27/160*b**5 + 3 - 3/4*b**4 + 11/80*b**6. Suppose z(f) = 0. Calculate f.
-1, -2/11, 0, 2
Let v(i) = -12*i**2 + 71*i - 329. Let x(r) = -58*r**2 + 354*r - 1652. Let b(z) = 24*v(z) - 5*x(z). Let b(u) = 0. Calculate u.
7, 26
Suppose 2*p - m = -2*p - 1, 3*p - 2 = -2*m. Suppose 3*c = -6, p = -0*w - 2*w - 5*c. Factor -5*k - 17*k - 15*k**4 + 7*k + 5*k**5 + 10*k**3 + 4*k**2 + w + 6*k**2.
5*(k - 1)**4*(k + 1)
Factor 0*n - 2/5*n**2 + 0.
-2*n**2/5
Let h be ((-10880)/(-2736) - 4)*(-582)/4. Let r = -52/19 + h. Let -2/3 + 16/9*f + r*f**2 = 0. What is f?
-3, 1/3
Let m(i) be the first derivative of 16/3*i**3 - 13*i**2 - 50 + 12*i - 1/2*i**4. Factor m(r).
-2*(r - 6)*(r - 1)**2
Let z be (2/(-5))/((2080/100)/(-8))*13. Let o(h) be the first derivative of 4*h**3 + 0*h**z - 33 + 0*h + 3/5*h**5 + 15/4*h**4. Factor o(y).
3*y**2*(y + 1)*(y + 4)
Factor -70 - 346*w - 288/5*w**3 - 2256/5*w**2.
-2*(w + 7)*(12*w + 5)**2/5
Let y = 64 + -23. Let k = y - 30. Determine f so that 2*f**2 - 2*f + 10*f**2 - k*f**2 + f**3 = 0.
-2, 0, 1
Let z(x) be the third derivative of -2*x**7/63 - 261*x**6/8 - 346327*x**5/36 - 238795*x**4/8 - 429245*x**3/18 + 2969*x**2. Let z(p) = 0. What is p?
-293, -1, -1/4
Let k(s) be the third derivative of -s**8/672 + 37*s**7/210 - 1439*s**6/240 + 1259*s**5/60 + 30*s**4 - 216*s**3 - 769*s**2. Determine g, given that k(g) = 0.
-1, 1, 2, 36
Suppose 720 - 56 = 8*x. Determine g so that -170*g**5 + 20*g**4 + 83*g**5 + x*g**5 = 0.
0, 5
Find f, given that 4*f**2 + 20*f - 2196 + 993 + 1059 = 0.
-9, 4
Suppose k + 5*p + 25 = 0, 5*p = -2*k + 3*p - 10. Let a(c) be the third derivative of 0*c**3 + 1/100*c**5 + 0*c**4 + 10*c**2 - 1/200*c**6 + k + 0*c. Factor a(w).
-3*w**2*(w - 1)/5
Let q(t) be the first derivative of t**6/6 + 38*t**5/5 + 90*t**4 - 38*t**3/3 - 361*t**2/2 - 6445. Factor q(x).
x*(x - 1)*(x + 1)*(x + 19)**2
Let x be (-1 + 121)*(-12)/(-24). Determine i, given that -20*i**4 + x*i + 72 + 132*i**3 + 45*i**2 - 284*i**2 - 5*i**2 = 0.
-2/5, 1, 3
Let s = -706397/80 - -8830. Let l(g) be the third derivative of -1/280*g**7 + 5*g**2 + 0*g - s*g**5 - 1/40*g**6 + 0*g**3 + 0 + 0*g**4. Factor l(f).
-3*f**2*(f + 1)*(f + 3)/4
Let o(h) be the first derivative of -1/4*h**4 - 150*h**2 + 10*h**3 + 1000*h + 74. Determine p so that o(p) = 0.
10
Factor 30/11*s + 0 + 4/11*s**3 + 62/11*s**2.
2*s*(s + 15)*(2*s + 1)/11
Let -72 + 16/5*o + 2/5*o**2 = 0. Calculate o.
-18, 10
Let r(s) = 18*s**2 + 220*s + 167. Let v(m) = -m**2 - 9. Let a(n) = -r(n) - 3*v(n). Factor a(w).
-5*(w + 14)*(3*w + 2)
Suppose -p - 5*o - 23 = 0, 2*p + 0*o = -3*o - 11. Factor 1289*t - 1329*t - p*t**2 - 2*t**2.
-4*t*(t + 10)
Let z be ((-49)/14)/(-3 + 5/(-3)). Solve 5/2 - z*w - 1/4*w**2 = 0 for w.
-5, 2
Let x(i) be the second derivative of 3 - 7/20*i**5 - 5/2*i**4 + 96*i + 125/4*i**2 - 1/60*i**6 - 25/6*i**3. Factor x(v).
-(v - 1)*(v + 5)**3/2
Let t = -698 - -648. Let s be 2805/102*(-264)/t. Factor 132/5*q - s - 6/5*q**2.
-6*(q - 11)**2/5
Let q = 2637 - 2637. Let p(w) be the third derivative of 0*w + 5*w**2 + q*w**3 + 0 + 1/96*w**4 + 1/240*w**6 - 1/96*w**5 - 1/1680*w**7. Factor p(g).
-g*(g - 2)*(g - 1)**2/8
Let j(f) be the first derivative of -3*f**5/35 - 3*f**4/28 + 4*f**3/7 + 6*f**2/7 - 222. Factor j(m).
-3*m*(m - 2)*(m + 1)*(m + 2)/7
Let r = 755 - 752. Factor 3 + 109*h**3 + r*h**5 - 3 + 7*h - 93*h**2 - 27*h**4 + 29*h - 28*h**3.
3*h*(h - 4)*(h - 3)*(h - 1)**2
Let k(u) = -u**3 + 110*u**2 - 3*u + 333. Let c be k(110). Let y(j) be the first derivative of 8 + 8*j + 2*j**2 - 4/3*j**c. Factor y(h).
-4*(h - 2)*(h + 1)
Let c(p) be the third derivative of -p**6/360 + p**5/20 + 5*p**4/3 - 550*p**3/9 - 2*p**2 - 469*p - 2. Determine d, given that c(d) = 0.
-11, 10
Let k(w) be the first derivative of w**5/30 - w**4/2 - 7*w**3/3 - 215*w**2/2 - 158. Let o(l) be the second derivative of k(l). Factor o(r).
2*(r - 7)*(r + 1)
Let w be (-1 + (-7)/(-3))*(-735240)/(-80). Factor -498*z - 4*z**2 - 32990 + w - 78*z.
-4*(z + 72)**2
Let a = 16139191/807 + -19999. Let d = 5374/2421 - a. Factor d*n**2 + 2*n + 2/3*n**3 + 4/9.
2*(n + 1)*(n + 2)*(3*n + 1)/9
Let g(w) be the second derivative of w**7/42 + w**6/8 + w**5/4 + 5*w**4/24 - 12*w**2 - 8*w - 3. Let k(f) be the first derivative of g(f). Solve k(s) = 0 for s.
-1, 0
Let u be -8*(-10)/50*5. Let o be u*9/(-135)*(-9)/4. Determine d, given that -o*d + 14/5*d**3 + 26/5*d**2 + 2/5*d**4 - 36/5 = 0.
-3, -2, 1
Let r = 108634 - 108634. Determine l, given that 4/5*l**3 - 24/5*l**2 + r + 4/5*l**5 + 16/5*l**4 + 0*l = 0.
-3, -2, 0, 1
Find r, given that 2/7*r**2 - 40/7*r - 264 = 0.
-22, 42
Factor 4332 + 31*t**2 - 1/2*t**3 - 1273/2*t.
-(t - 24)*(t - 19)**2/2
Let f be 4/18 - 258/(-54). Solve 8*j**4 - 15*j**4 + 5*j**4 + 6*j**2 + f*j**4 + 9*j**3 = 0.
-2, -1, 0
Let t(r) be the first derivative of -5*r**4/4 - 215*r**3/3 - 305*r**2 - 400*r - 618. Factor t(z).
-5*(z + 1)*(z + 2)*(z + 40)
Let -49/2*w + 0 + 1/2*w**3 + 0*w**2 = 0. Calculate w.
-7, 0, 7
Suppose 100*b + b**2 + 38*b + 24 - 239 + 76*b = 0. What is b?
-215, 1
Let v(o) be the third derivative of -o**6/24 - 25*o**5/12 - 535*o**4/24 + 665*o**3/6 + 637*o**2 - 2*o - 1. Factor v(d).
-5*(d - 1)*(d + 7)*(d + 19)
Let 86 - 4*h**3 + 4*h - 184 + 86 + 12*h**2 = 0. Calculate h.
-1, 1, 3
Let t(g) be the first derivative of -33*g**4/4 + 100*g**3 - 18*g**2 - 3456*g - 7414. Factor t(f).
-3*(f - 6)**2*(11*f + 32)
Solve -2284880 + 2704*d - 4/5*d**2 = 0.
1690
Determine p, given that -9072 - p**4 - 3078*p**2 - 8*p**3 - 129*p**3 - p**4 + 32*p**3 - 249*p**3 - 9126*p = 0.
-168, -3
Suppose 0 = -g - 2*z, -54*g + 3*z = -58*g. Let m(i) be the second derivative of -5/9*i**3 - 17*i + 1/36*i**4 + 25/6*i**2 + g. Determine a, given that m(a) = 0.
5
What is i in 50*i**2 - 18*i + 69*i**3 - 17*i + 78*i**3 - 90 - 226*i**3 + 74*i**3 = 0?
-1, 2, 9
Let j(h) be the first derivative of -h**6/18 - h**5/3 - 5*h**4/36 + 5*h**3/3 - 41*h + 75. Let z(i) be the first derivative of j(i). Factor z(k).
-5*k*(k - 1)*(k + 2)*(k + 3)/3
Suppose 260*w - 2*w**3 + 595*w**2 - 38*w + 112 + 634*w**2 - 1121*w**2 = 0. What is w?
-1, 56
Let j(w) = -4*w**2 + 561*w + 80079. Let x(r) = 3*r**2 - 562*r - 80081. Let q(v) = -4*j(v) - 5*x(v). Solve q(y) = 0.
-283
Find l, given that 1/7*l**3 + 14*l - 99/7*l**2 + 0 = 0.
0, 1, 98
Let i(d) be the first derivative of -2*d**3/9 + 106*d**2/3 - 1010*d/3 - 6430. Factor i(y).
-2*(y - 101)*(y - 5)/3
Let q = 218 + -183. Let u be ((-42)/49)/((-10)/q). Suppose 0 + 3/8*k**4 - 1/4*k**u - 1/4*k - 7/8*k**2 = 0. Calculate k.
-1, -1/3, 0, 2
Let s(u) be the third derivative of u**8/2240 + u**7/1260 - u**6/60 - u**5/15 + 61*u**4/12 - u**2 - 53. Let l(o) be the second derivative of s(o). Factor l(d).
(d - 2)*(d + 2)*(3*d + 2)
Let f(s) be the third derivative of -s**6/600 - 17*s**5/150 - 329*s**4/120 - 98*s**3/3 - 4724*s**2. Find y, given that f(y) = 0.
-20, -7
Let m(i) be the third derivative of -1/1365*i**7 + 8 + 1/390*i**5 - 1/260*i**6 + 1/52*i**4 + 0*i + 0*i**3 + 6*i**2. Suppose m(g) = 0. What is g?
-3, -1, 0, 1
Let d(r) be the third derivative of r**6/540 + 8*r**5/27 - 247*r**4/108 + 166*r**3/27 + 6*r**2 + r + 12. Let d(m) = 0. What is m?
-83, 1, 2
Factor -2*v**2 + 1746/7*v + 500/7.
-2*(v - 125)*(7*v + 2)/7
Let -4652/5 + 4656/5*s - 4/5*s**2 = 0. What is s?
1, 1163
Suppose 5 = 5*b, 2*g = b + 18 - 1. Factor 0*a**3 - g*a - 37*a**2 + a**3 + 29*a**2.
a*(a - 9)*(a + 1)
Let x(h) = 19*h**2 + 123*h - 290. Let s(l) = 7*l**2 + 41*l - 98. Let c(k) = -8*s(k) + 3*x(k). Factor c(p).
(p - 2)*(p + 43)
Let x(v) be the third derivative of -v**6/120 - 3*v**5/20 + 