m. Let r(o) be the second derivative of k(o). Factor r(f).
f*(f - 2)**2*(f + 2)/2
Determine x so that -10374*x**4 - 699*x**2 + 5345*x**4 + 300*x + 252 - 21*x**5 + 9*x**3 + 5188*x**4 = 0.
-2, -3/7, 1, 2, 7
Suppose 0 = -3*o + 12. Let g = -285 + 289. Factor -g*m + 3*m + 8*m**3 - 5*m + 2*m + o*m**2.
4*m*(m + 1)*(2*m - 1)
Factor 1/8*v**3 + 9 + 3/8*v**2 - 23/4*v.
(v - 4)*(v - 2)*(v + 9)/8
Let a be 6/(-258) - (8 - (-28025)/(-3225)). Solve -22/3 + 8*o - a*o**2 = 0 for o.
1, 11
Suppose 277*z = -42 + 42. Let l(o) be the third derivative of 9*o**2 + 0*o**4 + 1/20*o**5 - 1/160*o**6 + z + 0*o + 0*o**3. Factor l(q).
-3*q**2*(q - 4)/4
Factor -118/7*v + 152/7 - 34/7*v**2.
-2*(v - 1)*(17*v + 76)/7
Let j = 6620 + -6618. Suppose -2*w + 495 - 173 = 0. Factor 97*x**2 + 5*x**3 + 79*x**2 - 5*x - w*x**j - 10 - 5*x**4.
-5*(x - 2)*(x - 1)*(x + 1)**2
Let b = -2537 + 6037. Let i = 421 - 417. Let -3500 - i*h**2 + b - 16*h = 0. Calculate h.
-4, 0
Factor 156/5*t - 432/5 - 4/5*t**2.
-4*(t - 36)*(t - 3)/5
Let k = -366251/35 + 52323/5. Factor 2/7*p**2 - k*p**3 + 0 + 24/7*p.
-2*p*(p - 4)*(p + 3)/7
Let n(h) be the third derivative of 0*h + 25/24*h**4 - 1/24*h**6 - 1/4*h**5 + 1/42*h**7 + 15*h**2 - 5/3*h**3 + 0. Find g such that n(g) = 0.
-2, 1
Let z(y) be the second derivative of 3*y**5/80 - 9*y**4/2 + 35*y**3/2 + 2695*y. Let z(a) = 0. Calculate a.
0, 2, 70
Let i be 4/(-6) + (-46)/(-60). Let x = -126108 + 126110. Factor -i*g**x - 2/5 - 2/5*g.
-(g + 2)**2/10
Let s(h) = 5*h + 91. Let i be s(-17). Factor 0 + i - 4*d**2 - 2*d**3 + 8*d + 13 - 3.
-2*(d - 2)*(d + 2)**2
Let k(n) be the third derivative of n**5/140 + 30*n**4/7 + 2*n**2 + 24. Find g, given that k(g) = 0.
-240, 0
Let z(d) be the first derivative of 30/11*d**2 - 31 + 62/33*d**3 - 2/11*d. Factor z(j).
2*(j + 1)*(31*j - 1)/11
Let m be (50/(-12))/((-1219)/2438)*2/(40/9). Solve -87/4*k**4 - 27/2*k - 183/4*k**3 + 0 - 165/4*k**2 - m*k**5 = 0.
-2, -9/5, -1, 0
Let x(s) = 2*s - 23. Let z be x(7). Let i be (-11)/(-99) - 26/z. Let -1 + 0 - i + 6*w**2 - 15*w**2 + 20*w = 0. What is w?
2/9, 2
Let i = 81789561 + -235308562037/2877. Let g = -4/411 + i. Let 18/7*p + 2/7*p**3 - g*p**2 - 8/7 = 0. What is p?
1, 4
Suppose -5*o - 3*u = -342, 11*o - u = 16*o - 344. Let k be (0 + -4)*o/(-184). Suppose -k*h**2 + 3*h + 0 = 0. Calculate h.
0, 2
Factor -621*a**2 + 171*a**2 - 2921 + 16416*a + 1165 + 10180 + 3*a**3 + 26232.
3*(a - 76)**2*(a + 2)
Let i be ((-4)/5)/((-10)/75). Suppose -2*h - h + 6 = -y, i = 3*h - 4*y. Factor -128 - 11*w - 24*w**h - 12*w + 2*w**3 + 54*w + 65*w.
2*(w - 4)**3
Let g = 61 - 43. Let b be (-3*(2 + -3))/(g/24). Suppose -k**3 + 17*k**2 - 198*k**5 + 203*k**5 - 15*k**b - 2*k**2 - 10*k + 6*k**3 = 0. What is k?
-1, 0, 1, 2
Let h(u) be the third derivative of -u**5/150 - 123*u**4/20 + 742*u**3/15 - 3447*u**2. Solve h(p) = 0.
-371, 2
Find n, given that -4*n**4 - 20*n**3 + 355*n**2 - 331*n**2 - 73*n + 73*n = 0.
-6, 0, 1
Let x = 2608 + -2578. Let d(k) be the second derivative of 0 + 1/6*k**4 + x*k - 4*k**3 + 36*k**2. Find b such that d(b) = 0.
6
Factor -1/4*c**3 + 351/4*c - 3/2*c**2 - 486.
-(c - 9)**2*(c + 24)/4
Let l = -67211 + 268847/4. Let 0 + 3/4*x - l*x**4 - 9/4*x**2 + 9/4*x**3 = 0. What is x?
0, 1
Let x = 371753/6958 + 3/6958. Suppose x*k + 508/7*k**2 - 2*k**3 - 148/7 = 0. What is k?
-1, 2/7, 37
Let c(m) be the first derivative of 2/9*m**3 + 24*m - 187 - 37/3*m**2. Factor c(b).
2*(b - 36)*(b - 1)/3
Let l(s) be the third derivative of 2 + 0*s**4 - 1/330*s**5 - 10*s**2 + 4/33*s**3 + 0*s. Determine g, given that l(g) = 0.
-2, 2
Let u(f) be the first derivative of 5*f**4/12 - 25*f**3/6 + 15*f**2 - 63*f + 24. Let q(c) be the first derivative of u(c). Find g, given that q(g) = 0.
2, 3
Let z = 129959 + -129957. Find d such that -4/9*d**z + 2/3*d + 0 - 2/9*d**3 = 0.
-3, 0, 1
Suppose -28*n + 41 = 59 - 74. Factor -2/13*w**4 + 60/13*w**3 + 0 + 112/13*w - 2/13*w**5 - 152/13*w**n.
-2*w*(w - 2)**3*(w + 7)/13
Let q(b) be the first derivative of 0*b**2 + 5 - 12*b - 1/10*b**5 + 0*b**4 + 1/3*b**3. Let l(u) be the first derivative of q(u). Factor l(d).
-2*d*(d - 1)*(d + 1)
Suppose 3*j + 5*n - 960 = -0*n, -1600 = -5*j - 3*n. Find p, given that 14 + 391 - 519*p + j*p**2 - 201*p = 0.
9/8
Factor z**5 + 216*z**2 - 2605*z**4 + 109*z - 5*z**5 + 215*z + 2581*z**4.
-4*z*(z - 3)*(z + 3)**3
Let b = 519 - 519. Factor 13/2*f - 1/4*f**2 + b.
-f*(f - 26)/4
Let k(g) be the second derivative of g**4/36 - 115*g**3/18 + 113*g**2/3 + 31*g. Factor k(q).
(q - 113)*(q - 2)/3
Let l(p) be the second derivative of 0 + 9/5*p**2 + 1/210*p**7 + 3/50*p**5 + 1/3*p**4 - 13/10*p**3 - 84*p - 1/25*p**6. Suppose l(i) = 0. What is i?
-2, 1, 3
Factor -261/2*b + 6*b**2 + 3/2*b**3 - 405.
3*(b - 9)*(b + 3)*(b + 10)/2
Suppose -156 = -14*i - 44. Solve -9126*d - 10*d**3 - 40903 - 234*d**2 - 79861 + i*d**3 + 2126 = 0.
-39
Let v = 22509/7 + -427629/133. Factor v*x**2 - 2/19*x**3 + 0 - 4/19*x.
-2*x*(x - 2)*(x - 1)/19
Suppose -4*d - 4*i = -24, -6*d + 4*d + 4*i = -6. Let j be (-5)/60 - (0 + 12/(-36)). Factor 1/4*o + 1/4*o**4 + j - 1/2*o**3 - 1/2*o**2 + 1/4*o**d.
(o - 1)**2*(o + 1)**3/4
Let t(s) = 6*s - 4. Let h(u) = u**3 + 15*u**2 + 1. Let q be h(-15). Let m be t(q). Solve 19*d**2 - m*d + 27*d**2 - 8 + 2 + 0*d**2 + 42*d**3 = 0 for d.
-1, -3/7, 1/3
Suppose -7*u + 80 - 269 = 0. Let j be ((-80)/6)/(-4)*u/(-45). Determine p so that 10/7*p + 2/7*p**3 + 0 - 12/7*p**j = 0.
0, 1, 5
Let p(q) be the third derivative of -1/300*q**6 - 1/25*q**5 + 0 - 11/60*q**4 - 130*q**2 - 2/5*q**3 + 0*q. Factor p(l).
-2*(l + 1)*(l + 2)*(l + 3)/5
Let l(b) be the second derivative of -2*b**7/21 - 40*b**6/3 - 39*b**5 + 100*b**4/3 + 392*b**3/3 - 111*b + 6. Let l(z) = 0. Calculate z.
-98, -2, -1, 0, 1
Let a(g) = 3*g**2 - 232*g + 3873. Let k be a(53). Let 89/4*u**2 - 59/8*u**3 + 11 + 1/8*u**5 + 1/2*u**k - 53/2*u = 0. What is u?
-11, 1, 2
Suppose -9*n - 44 = -134. Suppose 0 = -4*i + i - 4*u + 23, u = i - n. Let 9*a + 18 + 0*a**3 + 3*a**3 - 7 - 8 + i*a**2 = 0. Calculate a.
-1
Let b(t) be the first derivative of -19 - 1/10*t**4 - 4/15*t**3 + 0*t - 1/5*t**2. Solve b(v) = 0.
-1, 0
Suppose -276/13*n + 2/13*n**2 - 3278/13 = 0. Calculate n.
-11, 149
Let v be (-6 - (-14 - -6))*1. Suppose -10106*m**v - 15 + 10104*m**2 + 12*m - 1 = 0. What is m?
2, 4
Suppose 179*m - 176*m - 6 = 0. Factor -105 + 107 + m*y + 14*y**2 + 27*y.
(y + 2)*(14*y + 1)
Let c(t) = t**3 - 10*t**2 + 9*t + 2. Let s = 16 + -7. Let l be c(s). Factor 21*x**4 - 4*x**2 - 4*x**3 + l - 49*x**4 + 17*x - 13*x**5 + 30*x**2.
-(x - 1)*(x + 1)**3*(13*x + 2)
Let d(b) = 2*b**4 - 234*b**3 - 548*b**2 - 4. Let h(a) = a**4 - 245*a**3 - 548*a**2 - 3. Let x(z) = 3*d(z) - 4*h(z). Factor x(j).
2*j**2*(j + 2)*(j + 137)
Let v = 587 + -596. Let w be v/(4 + -1) - -11. Suppose -23*f**4 + 4/3*f + 0 + 13/3*f**3 + 28/3*f**5 + w*f**2 = 0. What is f?
-2/7, -1/4, 0, 1, 2
Let a(u) be the third derivative of -u**6/240 - 427*u**5/120 + 215*u**4/6 - 431*u**3/3 + 8952*u**2. What is q in a(q) = 0?
-431, 2
Suppose -5*m + 15 = -2*t, -10 = -63*m + 56*m + 5*t. Let u(z) be the third derivative of m*z**2 - 7/120*z**4 + 0*z + 1/300*z**5 + 0 + 1/3*z**3. Factor u(c).
(c - 5)*(c - 2)/5
Let b(n) be the third derivative of n**6/180 + 743*n**5/30 + 413665*n**4/12 - 1243225*n**3/9 - 2445*n**2. Factor b(j).
2*(j - 1)*(j + 1115)**2/3
Let b be (3 - -1) + (-24)/(-18)*1. Let r = 2282/345 - -6/115. Suppose -4/3*t**2 - b*t**3 + 0*t - 8/3*t**5 + 0 - r*t**4 = 0. What is t?
-1, -1/2, 0
Let u(h) be the third derivative of h**9/47040 - h**8/5880 + h**7/2940 + 3*h**5/20 + h**3/3 - h**2 + 54. Let s(k) be the third derivative of u(k). Factor s(b).
3*b*(b - 2)*(3*b - 2)/7
Let d(j) = -35*j**3 - 25*j**2 + 5. Let v(p) = p**4 + 53*p**3 + 36*p**2 - 8. Let f(m) = -8*d(m) - 5*v(m). Find r, given that f(r) = 0.
-1, 0, 4
Let i(n) be the second derivative of -n**7/630 + 7*n**6/90 + n**5/2 + 15*n**4/4 + 38*n. Let t(b) be the third derivative of i(b). Factor t(w).
-4*(w - 15)*(w + 1)
Let d(g) = 4*g**2 + 47*g + 49*g - 4272 + 4752. Let b(o) = 4*o**2 + 98*o + 479. Let f(y) = 4*b(y) - 5*d(y). Factor f(j).
-4*(j + 11)**2
Let b(w) be the third derivative of 3*w**5/40 + 35*w**4/96 - w**3/12 + 157*w**2 - 2. Solve b(c) = 0 for c.
-2, 1/18
Solve 52/5*a**3 + 0*a - 58/5*a**4 + 112/5*a**2 + 0 + 2/5*a**5 = 0 for a.
-1, 0, 2, 28
Let r(i) = 36*i**2 - 35*i - 8. Let d(