)/11
Suppose 0 = -21*h + 310 + 194. Factor 20 - h*o + 98*o**2 - 47*o**3 - 20 + 39*o**3.
-2*o*(o - 12)*(4*o - 1)
Let k(g) = 5*g**2 - g + 6. Let f(t) = 8*t**2 + 2862*t - 1025300. Let n(u) = f(u) - 2*k(u). Factor n(a).
-2*(a - 716)**2
Let z = 2636 + -2636. Let v(g) be the third derivative of -1/96*g**6 + z*g - 2/3*g**4 - 6*g**2 + 0 - 4/3*g**3 + 19/120*g**5. Find q such that v(q) = 0.
-2/5, 4
Let i(a) be the first derivative of -7 - 45*a**3 + 50*a**2 - 25/4*a**4 + 60*a. Factor i(t).
-5*(t - 1)*(t + 6)*(5*t + 2)
Factor 1/5*i**5 - 17/5*i**4 + 0*i**2 + 42/5*i**3 + 0 + 0*i.
i**3*(i - 14)*(i - 3)/5
Let j = -844 + 844. Let t(b) be the third derivative of 0*b + 1/84*b**7 + 0*b**3 + 0 + 0*b**5 + j*b**4 + 1/96*b**8 - 1/120*b**6 + 18*b**2. Factor t(f).
f**3*(f + 1)*(7*f - 2)/2
Let i be 141432/207666 - 4/278. Solve i*b - 4/5*b**2 + 2/15*b**3 + 0 = 0 for b.
0, 1, 5
Let o(m) = -m**2 - 6*m - 10. Let j be o(-3). Let q be (-18)/(-6) - (-1)/j. What is f in -20*f**2 - 14*f - f + 30*f**q + 5*f**3 = 0?
-3, 0, 1
Let t(f) be the second derivative of -f**4/24 + 109*f**3/12 - 159*f**2/2 - 7*f - 1013. Factor t(i).
-(i - 106)*(i - 3)/2
Let z = 570772482/145 + -72902298/29. Factor -127008/5*j**2 + z*j - 3/5*j**4 - 149361408/5 + 1008/5*j**3.
-3*(j - 84)**4/5
Suppose 2*k = 3*l + 73, -5*l - 592 = -3*k - 471. Determine h so that -1/5*h**4 - 1/5*h**5 + 8*h + 0 + 52/5*h**k + 18/5*h**3 = 0.
-2, 0, 5
Factor 4/7*a**4 - 60/7*a + 0 - 52/7*a**2 + 12/7*a**3.
4*a*(a - 3)*(a + 1)*(a + 5)/7
Let o(j) be the third derivative of 129/560*j**7 + 0 + 9/896*j**8 + 2*j + 95/64*j**6 + 201*j**2 + 31/160*j**5 - 7*j**4 - 49/4*j**3. Solve o(f) = 0 for f.
-7, -2/3, 1
Let u(f) = -2*f**2 - 2*f - 8. Let z(s) = -3*s**2 - s - 7. Let x(g) = 5*u(g) - 4*z(g). Let b be x(7). Factor 43*p + 2*p**2 - b*p - p**2.
p*(p - 1)
Let a(f) be the first derivative of -f**4/6 + 1480*f**3/27 - 15293*f**2/3 + 6724*f - 7. Suppose a(o) = 0. What is o?
2/3, 123
Let q(n) be the first derivative of 3*n**4/8 - 17*n**3/2 + 21*n**2/2 + 48*n - 5510. Let q(c) = 0. What is c?
-1, 2, 16
Let l be ((-120)/(-84))/(5*(-2)/(-210)). Let p be (26 - l) + 69/15. Suppose -1/5*n**4 - 1/5*n**5 + 1/5*n**2 - 2/5*n + 0 + p*n**3 = 0. What is n?
-2, -1, 0, 1
Let h(g) = 65*g**3 - 2*g + 1. Let n be h(1). Let u be n/18 - (-112)/252. Factor -9/4 - 3/4*s**u + 15/2*s - 9*s**2 + 9/2*s**3.
-3*(s - 3)*(s - 1)**3/4
Let t(x) be the second derivative of -x**5/20 - x**3/6 - 2*x + 35. Let b(l) = 3*l**3 + 6*l**2 + 10*l. Let j(z) = b(z) + 2*t(z). Factor j(p).
p*(p + 2)*(p + 4)
Let h(o) be the third derivative of o**5/30 - 103*o**4/12 + 282*o**3 + 4268*o**2. Find d such that h(d) = 0.
9, 94
Let l(i) be the third derivative of 1/10*i**6 + 2/105*i**7 + 0*i - 4/3*i**4 - 2 - 2/5*i**5 - 18*i**2 + 0*i**3. Suppose l(f) = 0. What is f?
-4, -1, 0, 2
Suppose -n - d - 1 = 0, -21*n - d + 5 = -17*n. Let z(c) be the third derivative of 0*c - 1/60*c**5 + 1/4*c**4 - 4/3*c**3 - 15*c**n + 0. What is a in z(a) = 0?
2, 4
Let y be ((-15)/(-5))/(7/(14/31) + -5). Determine u, given that 18/7*u - 40/7 - y*u**2 = 0.
4, 5
Let p(b) = 3*b**3 + 84*b**2 + 50*b + 13. Let k(n) = 42*n**2 + 25*n + 7. Let z = -18 - -13. Let f(o) = z*k(o) + 3*p(o). Solve f(i) = 0 for i.
-4, -1/3
Let v = -666627/2 - -333315. Factor v - 3*j**3 + j**2 - 1/2*j**5 + 7/2*j - 5/2*j**4.
-(j - 1)*(j + 1)**3*(j + 3)/2
Suppose 10/3*b**4 + 28/9*b + 4/9*b**5 + 0 + 76/9*b**3 + 26/3*b**2 = 0. What is b?
-7/2, -2, -1, 0
Suppose 0*r - 27 = -r - 3*k, 0 = 2*r - 2*k - 46. Let m be ((-24)/32)/(((-9)/r)/1). Solve 4*b**3 + 17*b + 8*b**m + 9*b + 0*b**2 - 22*b = 0 for b.
-1, 0
Suppose -b = -5*q + 10889, 0 = -17*q + 20*q + b - 6535. Let o = 2181 - q. Find u, given that 6/5*u**2 + 14/5*u**4 - 4/5*u + 0 + 24/5*u**o = 0.
-1, 0, 2/7
Let n(u) be the second derivative of u**4/3 + 1060*u**3 - 3182*u**2 - 1261*u + 2. Determine r so that n(r) = 0.
-1591, 1
Let b be ((-560)/(-60) + -12)/((-39)/52). Determine x, given that b - 2/9*x**2 + 0*x = 0.
-4, 4
Let j(q) be the third derivative of -5/12*q**5 + 5/48*q**8 + 0 - 55*q + 5/12*q**4 + 5/42*q**7 - 3/8*q**6 + q**2 + 0*q**3. Determine y, given that j(y) = 0.
-1, 0, 2/7, 1
Let g(h) be the third derivative of h**6/240 + 11*h**5/12 - 223*h**4/48 + 28*h**3/3 + 2962*h**2. Factor g(f).
(f - 1)**2*(f + 112)/2
Suppose 39*y - 10 = -10. Suppose y = -2*t - t. Factor -5/3*k**3 + 0 + t*k - 10*k**2.
-5*k**2*(k + 6)/3
Let f(z) be the third derivative of 0*z**3 + 9/70*z**7 - 1/2*z**4 + 1 + 3/40*z**6 + 0*z - z**2 - 2/5*z**5. Factor f(r).
3*r*(r - 1)*(3*r + 2)**2
Let n(a) be the first derivative of 5*a**6/6 - 18*a**5 + 60*a**4 + 3200*a**3/3 - 7680*a**2 + 923. Solve n(v) = 0.
-6, 0, 8
Let y(c) = 8*c**3 - 100*c**2 + 1431*c + 36531. Let v(a) = a**3 - a**2 + 2. Let b(d) = 35*v(d) - 5*y(d). Suppose b(h) = 0. Calculate h.
-13, 53
Let v(w) be the third derivative of w**8/168 + 3*w**7/35 - 17*w**6/60 - 19*w**5/10 + 31*w**4/3 - 20*w**3 + 5*w**2 + 470*w. What is p in v(p) = 0?
-10, -3, 1, 2
Let g(u) be the second derivative of u**6/15 + 4*u**5 - 127*u**4/6 + 86*u**3/3 - 3577*u. Factor g(w).
2*w*(w - 2)*(w - 1)*(w + 43)
Suppose 3*m = 2*l - 989, -5*m = -2*l + 2379 - 732. Let f = m - -332. Factor 4/3*h**f - 2/3*h**2 - 10/3 - 16/3*h.
2*(h + 1)**2*(2*h - 5)/3
Let t be 9 + 0/(-3 - -4 - 0). Determine x, given that 453 + t*x**2 - 24*x - 901 + 464 = 0.
4/3
Let w(b) = -b**2 - 5*b + 5. Let p be ((-1)/(-2))/((-4)/40). Let h be w(p). Factor -6*a**4 - 2*a**2 + 18*a**3 - 5*a**3 + 2*a**h - 7*a**3.
2*a**2*(a - 1)**3
Let p(i) be the first derivative of 2*i + 1/3*i**2 - 1/6*i**3 + 149 - 1/24*i**4. Find t such that p(t) = 0.
-3, -2, 2
Let f(i) be the third derivative of i**8/672 - 11*i**7/420 - 5*i**6/48 - 13*i**5/120 + 396*i**2 + 2. What is r in f(r) = 0?
-1, 0, 13
Let d(g) = 5*g**3 + 35*g**2 + 25*g + 5. Let z(m) = 2*m**3 + 18*m**2 + 13*m + 3. Let j = 13 - 18. Let f(v) = j*z(v) + 3*d(v). Find t such that f(t) = 0.
-2, -1, 0
Suppose 0 = 5*j - 2*g - 26, 0 + 4 = 4*j + 4*g. Solve 64*n**2 + 10*n**4 + 40*n + 5*n**j - 75*n**2 + 100*n**3 - 144*n**2 = 0.
-8, 0, 1/3, 1
Let w(z) be the first derivative of -1/2*z**3 + 0*z**2 + 1/16*z**4 + 0*z + 1/24*z**6 + 1/5*z**5 - 9. Suppose w(n) = 0. What is n?
-3, -2, 0, 1
Let t(n) be the second derivative of 0 - 5/2*n**2 + 11*n + 5/6*n**3 - 5/12*n**4 + 1/12*n**5. Let j(y) be the first derivative of t(y). Factor j(o).
5*(o - 1)**2
Let j(t) be the first derivative of -17*t**2/2 - 5*t + 43. Let h be j(-1). Factor 4*k - 16*k**2 + h*k**2 + 2*k**2.
-2*k*(k - 2)
Let q(l) be the first derivative of l**6/2 - 9*l**5/5 - 3*l**4/4 + 7*l**3 - 12*l - 1721. Solve q(o) = 0 for o.
-1, 1, 2
Let f(r) be the second derivative of 5*r**6/6 - 38*r**5 + 1025*r**4/12 - 145*r**3/3 + r + 1871. Let f(d) = 0. What is d?
0, 2/5, 1, 29
Factor 0 + 1/4*u**4 - 24652782*u - 693/2*u**3 + 160083*u**2.
u*(u - 462)**3/4
Suppose -67*j + 22 = -x - 70*j, 4*j = -5*x - 11. Factor 9 - 1/3*q**3 + q**4 - 6*q**2 + 9/2*q - 1/6*q**x.
-(q - 3)**3*(q + 1)*(q + 2)/6
Let q(m) = 2*m. Let x be q(1). Suppose x*f + f + 3 = 0, f = 3*a - 10. Find n such that -n**4 - 2 - 2*n**3 + a + n**5 - 2*n**2 - 5*n**4 + 7*n**4 + n = 0.
-1, 1
Let p(w) = -3*w**2 + 54*w + 786. Let f be (-12 - -17) + 21/(-3). Let k(g) = 11*g**2 - 161*g - 2359. Let h(c) = f*k(c) - 7*p(c). Factor h(x).
-(x + 28)**2
Let b(d) be the first derivative of -1/36*d**4 - 52/9*d + 8/3*d**2 - 1/3*d**3 - 211. Determine h, given that b(h) = 0.
-13, 2
Let y be 34/408*-18*(-2)/1. Let w(s) be the third derivative of -7*s**2 + 0 - 1/300*s**5 + 1/600*s**6 + 0*s + 0*s**4 + 0*s**y. Solve w(l) = 0 for l.
0, 1
Suppose 2280*x**3 - 567*x**3 - 568*x**3 + 60 - 569*x**3 + 50*x**2 - 571*x**3 - 115*x = 0. What is x?
-12, 1
Suppose -6*o + 665 = -979. Factor -2*k**3 + 9*k**2 - 128*k - 126*k + o*k + 9*k**2.
-2*k*(k - 10)*(k + 1)
Suppose -14*o = -4*o + 280. Let v be 30/(-6) - (-3 - o/(-6)). Factor -2/3*u**2 - v - 10/3*u.
-2*(u + 1)*(u + 4)/3
Let w be (-3)/((-3)/(-8)*-2). Suppose -588 = -2*a - w*a. Suppose 3*u**2 - 22*u - 34*u - 4*u**2 + 9*u**2 + a = 0. Calculate u.
7/2
Let q be 15/((8/(-16))/((-2)/6)). Suppose 5*c + 8 = -4*s + 39, 0 = -2*c + 4*s - q. Factor 2/9*o**2 - 2/9*o**4 + 2/9*o**c - 2/9*o + 0.
-2*o*(o - 1)**2*(o + 1)/9
Let r = 32006 - 32003. Factor -1/2*u**r + 7/2*u + 3 + 0*u**2.
-(u - 3)*(u + 1)*(u + 2)/2
Let i be (4/720)/(20/(-1816)). Let b = -