Factor o(d).
2*d**2*(d + 1)*(d + 8)
Let b = -3272 - -3272. Factor 1/3*f + 0 + b*f**3 - 1/3*f**5 + 2/3*f**4 - 2/3*f**2.
-f*(f - 1)**3*(f + 1)/3
Let g(q) = 4*q**2 - 6*q. Suppose -2*y = 4*j + 38, -7*j = -2*j + y + 40. Let z(h) = -h**2 + 2*h. Let x(v) = j*z(v) - 2*g(v). Let x(d) = 0. Calculate d.
-2, 0
Determine b so that 0 + 3/5*b**4 + 0*b - 2/5*b**3 + 0*b**2 - 1/5*b**5 = 0.
0, 1, 2
Let o(z) be the first derivative of z**5/45 - 5*z**4/36 + 2*z**3/9 - 13*z**2 + 29. Let v(d) be the second derivative of o(d). Find g such that v(g) = 0.
1/2, 2
Let z(i) be the second derivative of -i**4/3 - 4*i**3/3 + 16*i**2 - 238*i. Solve z(s) = 0 for s.
-4, 2
Let h(c) be the third derivative of -c**5/210 + 29*c**4/84 - 4*c**3/3 + 403*c**2. Factor h(a).
-2*(a - 28)*(a - 1)/7
Suppose -3 - 15 = -z. Let m = z - 13. Factor -7*x**4 + 4*x**4 + 2*x**2 + 4*x**3 + m*x**4.
2*x**2*(x + 1)**2
Let n be 12*(-4)/180*(-9)/6. Solve 0 - n*q - 2/5*q**2 = 0.
-1, 0
Factor -14*v - 40/3 + 0*v**2 + 2/3*v**3.
2*(v - 5)*(v + 1)*(v + 4)/3
Let i(g) be the first derivative of -g**6/4 - 69*g**5 - 7935*g**4 - 486680*g**3 - 16790460*g**2 - 308944464*g + 335. Factor i(t).
-3*(t + 46)**5/2
Suppose 0 = 12*y - 30 - 18. Factor -y*k + 24*k - 17 - 8 + 5*k**2.
5*(k - 1)*(k + 5)
Suppose z = -0*z. Let o be 4/18 + 40/90. Factor -o*d**4 + 0*d**2 + z - 1/3*d**3 + 0*d - 1/3*d**5.
-d**3*(d + 1)**2/3
Let m be (-10 - 3 - (8 + -13))/(28/(-6)). Factor -2/7*l**2 + 0 + m*l.
-2*l*(l - 6)/7
Factor -2/9*s**2 - 2/9*s**3 + 8/9*s + 8/9.
-2*(s - 2)*(s + 1)*(s + 2)/9
Factor -864 + 525*d - 1281*d + 4*d**4 + 4*d**3 - 2827*d**2 + 2647*d**2.
4*(d - 8)*(d + 3)**3
Suppose -4*g - 4*s + 3 = -5, 10 = 5*g + 3*s. Suppose z + 11 = 4*t + t, -t - g*z + 11 = 0. Let -8/3*x**t + 8/3*x - 2/3 + 2/3*x**2 = 0. What is x?
-1, 1/4, 1
Let l(d) be the second derivative of d**4/18 - d**2/3 + d - 1. Factor l(t).
2*(t - 1)*(t + 1)/3
Suppose 4*f + 4*x + 40 = 0, -4*f + x = 6*x + 38. Let k be (f/(-16))/((-12)/(-32)). Let -2/3 - 5/3*v - 1/3*v**3 - 4/3*v**k = 0. Calculate v.
-2, -1
Factor 68/9*a - 16 + 2/9*a**2.
2*(a - 2)*(a + 36)/9
Let k be 2/(2 - (-160)/(-75)). Let a be 6/10 - 21/k. Determine p, given that 0 - 1/2*p - 1/2*p**3 - p**a = 0.
-1, 0
Suppose 3*t = -o + 5*o + 23, 3*o + 3*t = 9. Let y(v) = 16*v**2 + 24*v - 6. Let g(f) = -33*f**2 - 48*f + 11. Let b(d) = o*g(d) - 5*y(d). Factor b(c).
-2*(c + 2)*(7*c - 2)
Suppose 5*r + 5*w = 45, 5*r + w = -0*w + 29. Suppose 7 = r*b - 18. What is u in 0*u**3 + 0*u**5 + 10*u**3 - u**b + 5*u**4 + 1 + 2*u**5 + 5*u + 10*u**2 = 0?
-1
Solve -8/5*y**3 + 0 + 2/5*y**4 + 0*y + 6/5*y**2 = 0.
0, 1, 3
Let f(q) be the first derivative of 35/3*q**3 + 0*q + 5*q**2 - 2 + 25/4*q**4. Let f(y) = 0. What is y?
-1, -2/5, 0
Let g(d) be the third derivative of d**8/504 + d**7/45 + d**6/18 - 17*d**2. Factor g(x).
2*x**3*(x + 2)*(x + 5)/3
Let y be (-1)/((-2)/6) - 7. Let l = y + 12. Factor -12*f**3 + 5*f - 4*f + l*f**2 - f + 4*f**4.
4*f**2*(f - 2)*(f - 1)
Let v(u) be the first derivative of -8*u**3/3 - 2*u**2 + 4*u - 3. Let k(j) = j**2 + j. Let i(y) = 6*k(y) + v(y). Factor i(n).
-2*(n - 2)*(n + 1)
Let r(l) be the second derivative of -l**5/16 - 95*l**4/48 - 50*l**3/3 + 125*l**2/2 - 237*l. Factor r(f).
-5*(f - 1)*(f + 10)**2/4
What is o in 35*o**4 + 23*o**5 - 95*o**4 - 50*o**2 + 15*o**5 - 33*o**5 + 105*o**3 = 0?
0, 1, 10
Let p(d) be the third derivative of -d**5/120 + 23*d**4/48 - 5*d**3 + 145*d**2. Solve p(c) = 0.
3, 20
Let t(s) be the first derivative of 2*s**3/21 + 290*s**2/7 + 42050*s/7 + 772. Solve t(w) = 0 for w.
-145
Let q(x) = 3*x**2 - 7*x + 17. Let l(j) = 4*j**2 - 6*j + 17. Let b(u) = -2*l(u) + 3*q(u). Let t be b(7). Factor 2/3*n**t + 0 + 1/3*n**4 + 0*n + 0*n**2.
n**3*(n + 2)/3
Suppose 17*n - 19*n = 20. Let w(x) = -x**3 - 6*x**2 + 13*x + 6. Let b be w(n). What is o in -5*o**5 - 3 + 281*o**4 + 3 - b*o**4 = 0?
0, 1
Let o(l) be the second derivative of l**6/900 - l**5/60 + 4*l**3 - 23*l. Let a(b) be the second derivative of o(b). Factor a(z).
2*z*(z - 5)/5
Let m(c) = -c**4 - c**3 - 2*c**2 - c - 1. Let g(j) = j**4 - 9*j**3 - 12*j**2 - 5*j + 3. Let q(v) = g(v) + 3*m(v). What is f in q(f) = 0?
-4, -1, 0
Suppose 349*w - 73*w - 1079 = 301. Suppose 3*u**4 + 1/4*u + 0 + 3/2*u**2 + 13/4*u**3 + u**w = 0. Calculate u.
-1, -1/2, 0
Let s be 100/(6 - 2)*5/25. Let a(h) be the third derivative of -1/60*h**4 + 1/30*h**3 + 1/300*h**s - h**2 + 0*h + 0. Factor a(j).
(j - 1)**2/5
Let b(z) be the third derivative of -3*z**5/110 + 5*z**4/66 - z**3/33 - 8*z**2 + 14*z. Find f such that b(f) = 0.
1/9, 1
Let c(v) be the third derivative of -25*v**8/336 + 13*v**7/42 + v**6/4 - 361*v**2. Suppose c(f) = 0. Calculate f.
-2/5, 0, 3
Let a(t) be the second derivative of t**6/60 + 3*t**5/10 + 464*t + 1. Factor a(g).
g**3*(g + 12)/2
Suppose -470*d**2 - 61 - 14 - 330*d**3 - 305*d - 5*d**5 - 708*d**4 + 613*d**4 = 0. Calculate d.
-15, -1
Let t(x) be the third derivative of x**7/12600 - x**6/1800 + 13*x**4/24 + 3*x**2. Let w(f) be the second derivative of t(f). What is g in w(g) = 0?
0, 2
Let s(p) be the first derivative of 0*p - 3/5*p**5 - 13 - 9/20*p**4 + 2/5*p**6 + p**3 - 3/10*p**2. Suppose s(d) = 0. What is d?
-1, 0, 1/4, 1
Factor -2/5*u**2 + 88*u - 4840.
-2*(u - 110)**2/5
Let 0 + 0*b - 10/17*b**3 + 2/17*b**4 + 8/17*b**2 = 0. What is b?
0, 1, 4
Let s(g) be the second derivative of g**8/560 - g**7/70 - 7*g**3/3 + 2*g. Let x(h) be the second derivative of s(h). Factor x(i).
3*i**3*(i - 4)
Let i be 10/(-15)*3*2*1. Let u be -3*(-2)/(i/(-2)). Factor -1/7*z**u - 8/7*z - 5/7*z**2 - 4/7.
-(z + 1)*(z + 2)**2/7
Let x(u) = -1. Let h(s) = -2*s**2 + 10*s - 10. Let o(p) = 2*h(p) - 4*x(p). Factor o(t).
-4*(t - 4)*(t - 1)
Find h such that 35/3*h + 17/3 + 1/3*h**3 + 19/3*h**2 = 0.
-17, -1
Let w(n) = -n**4 - n**2 + 1. Suppose 0 = -0*k + 3*k + 3. Let x(p) = 3*p**5 + 9*p**4 + 24*p**3 + 6*p**2 + 6. Let o(i) = k*x(i) + 6*w(i). Factor o(m).
-3*m**2*(m + 1)*(m + 2)**2
Suppose 0 = -4*p + 2*p + 16. Find h such that -p*h**4 - 11*h**4 - 6*h**2 - 2*h**4 - 27*h**3 = 0.
-1, -2/7, 0
Let u = -5 + 15. Factor u*f**2 + 7*f - 2*f**3 - 12*f - 3*f**3.
-5*f*(f - 1)**2
Suppose -9 = -9*z + 6*z. Suppose 3*a**3 + 20*a - 4*a**z + 0*a**3 - 25*a**2 + 6*a**3 = 0. Calculate a.
0, 1, 4
Let x be ((-30)/(-20))/(6/20*1). Suppose 0 = 2*j + 2*l - 16 + 4, x*j = -2*l + 18. Factor 2*r**4 - 5/4*r**5 - 1/4*r**3 + 0 + 0*r - 1/2*r**j.
-r**2*(r - 1)**2*(5*r + 2)/4
Let r = 1939/1322 - -22/661. Solve 3/2*h**2 - r*h + 1/2 - 1/2*h**3 = 0 for h.
1
Let a = 4389 + -21942/5. Factor -a*d + 3/5*d**3 + 3/5*d**4 - 9/5*d**2 + 6/5.
3*(d - 1)**2*(d + 1)*(d + 2)/5
Factor -64 - 66*o**3 + 78*o**3 + 103*o**2 - 12*o - 39*o**2.
4*(o - 1)*(o + 1)*(3*o + 16)
Let m(x) = -x + 1. Let z = -65 - -62. Let n(w) = -w**3 + 23*w**2 - 141*w + 119. Let b(o) = z*n(o) - 6*m(o). Solve b(r) = 0.
1, 11
Suppose 3*i - 3 - 9 = 0. Suppose 3*j + 46 = 2*q, -3*q + 3*j - i*j = -58. Determine n so that -q*n + 2*n**4 - n + 3 - 12*n**3 - 3*n + 5 + 26*n**2 = 0.
1, 2
Let d = -15/7 - -82/35. Let z(s) be the second derivative of 1/21*s**7 + 0*s**6 - 9*s - d*s**5 + 0*s**4 + 0 + 0*s**2 + 1/3*s**3. Factor z(w).
2*w*(w - 1)**2*(w + 1)**2
Suppose 13*i = 13 + 26. Suppose 3*j - 1 = -5*s, 0 = -5*s - 4 - 1. Let -3*z**3 + 9*z**3 - i*z**5 - 6*z + 6*z**4 + 6 - 12*z**j + 3*z = 0. Calculate z.
-1, 1, 2
Let n = 59/5 + -762/65. Let f(g) be the second derivative of 2*g - 1/65*g**5 + 0 - n*g**2 + 2/39*g**3 + 0*g**4 + 1/195*g**6. Find m, given that f(m) = 0.
-1, 1
Let i(y) be the first derivative of -1/10*y**2 - 1/15*y**3 + 1/5*y - 6 + 1/20*y**4. What is m in i(m) = 0?
-1, 1
Let k = 3349/7 + -477. Let a = -2783/7 + 399. Factor -20/7*p**3 - 2/7 - k*p**4 - 2/7*p**5 - a*p - 20/7*p**2.
-2*(p + 1)**5/7
Suppose 0 = 5*u - 5*q - 90, 5*u = 2*u - 4*q + 68. Factor -u - 9*l**2 + 111*l**3 - 106*l**3 - 35*l - l**2.
5*(l - 4)*(l + 1)**2
Suppose 3*x + 105 = 38*x. Let d(k) be the first derivative of 1/9*k**3 + 0*k**2 + x + 0*k. Solve d(v) = 0 for v.
0
Suppose -5*d = 5*h + 215, 3*h + 0*h + 124 = -2*d. Let y = -189/5 - h. Factor 2/5 + 4/5*u**2 + u + y*u**3.
(u + 1)**2*(u + 2)/5
Let k be (-3)/(-12) + 2/((-8)/(-11)). Factor -29*a**2 + 65*a**2 + 2*a**5 - 32*a**2 - 6*a**k.
2*a**2*(a - 1)**2*(a + 2)
Let g(v) = -v**2 - 4*v + 5. Let h be g(-4). Factor b**5 + h*b**3 - 3*b**5 + 10*b**4 + 7*b**5.
5*b**3*(b + 1)**2
Let o be 6/50*(-5