- 2)*(t - 1)
Let x(h) be the first derivative of 4 + 15/2*h - 3/4*h**3 - 15/16*h**4 + 39/8*h**2 + 3/20*h**5. Factor x(t).
3*(t - 5)*(t - 2)*(t + 1)**2/4
Let c = 5075 - 5070. Let v(o) be the second derivative of 0*o**3 - 1/120*o**c - 5*o - 1/24*o**4 + 0 + 1/3*o**2. Solve v(y) = 0.
-2, 1
What is a in 6543*a**2 + 2141549312 + 16703*a**2 + 4*a**3 + 7912128*a - 13502*a**2 = 0?
-812
Suppose 2*r + 11 = 23. Find d, given that 11*d**3 - r*d**4 - 6*d**4 - 298*d**5 + 293*d**5 + 36*d + 8 + 6*d**2 + 40*d**2 = 0.
-2, -1, -2/5, 2
Let i(j) be the third derivative of -j**5/510 + 4*j**4/17 - 92*j**3/51 - 9*j**2 - 14. Factor i(w).
-2*(w - 46)*(w - 2)/17
Let o(x) = -7*x. Let g = -45 + 44. Let b be o(g). Determine s so that 8*s**4 + 4*s - b*s**5 - 5*s**2 - 3*s**2 - 12*s**5 + 15*s**5 = 0.
-1, 0, 1
Let s(j) be the third derivative of -5/108*j**4 + 4/27*j**3 + 1/270*j**5 + 0 + 0*j - 109*j**2. Factor s(p).
2*(p - 4)*(p - 1)/9
Suppose 71 = 3*q + 2*t + 62, 3*q - 4*t - 27 = 0. Let j(z) be the second derivative of 0*z**4 + 0 - 31*z + 0*z**3 - 3/14*z**q + 0*z**2 - 1/70*z**6. Factor j(i).
-3*i**3*(i + 10)/7
Factor -74*z + 5*z**2 - 83*z**3 + 87*z**3 + 148 + 7*z**2 - 22*z - 36.
4*(z - 2)**2*(z + 7)
Let a(f) be the second derivative of -f**6/150 + 17*f**5/100 - 67*f**4/60 + 29*f**3/10 - 18*f**2/5 - 2200*f. Factor a(n).
-(n - 12)*(n - 3)*(n - 1)**2/5
Let f = 198 - 196. Suppose 5*y + 20 = f*x + 3*x, -x - 5*y = 8. Factor -1/11*m**x + 0 - 1/11*m.
-m*(m + 1)/11
Let r(s) = 2*s**2 - s + 1. Let q be r(1). Let b be 17/7 + 57/(-133). Factor 4 + 2*g**q + 3*g + 0*g**2 - 6*g**2 + 3*g**b.
-(g - 4)*(g + 1)
Suppose -171 + 191 - 228 = -52*r. Let s(x) be the second derivative of 0*x**2 - 3/5*x**5 - 4/21*x**7 - 1/6*x**r - 3 + 0*x**3 - 3/5*x**6 + 4*x. Solve s(a) = 0.
-1, -1/4, 0
Suppose 47*l - 59472 = 89*l. Let s = 8497/6 + l. Find a such that -2/3*a + 2 + s*a**3 - 1/2*a**2 = 0.
-2, 2, 3
Let r be (4/(-50))/((-92)/230). Let j(x) be the first derivative of 1/50*x**5 + r*x**3 - 1/5*x**2 - 31 + 1/10*x - 1/10*x**4. Factor j(v).
(v - 1)**4/10
Suppose 5*m + 149 = -3*y + 3*m, 12 = -3*m. Let i be -1 + y/(-35) + 40/50. What is f in 2/7*f**3 + 0 + 0*f - i*f**2 = 0?
0, 4
Factor 1/5*f**3 - 17/5*f**2 - 4*f + 36/5.
(f - 18)*(f - 1)*(f + 2)/5
Determine z so that 3/7*z**3 - 468/7*z - 3/7*z**2 + 0 = 0.
-12, 0, 13
Let i = 204524 - 2658806/13. Factor -22/13*j + 16/13*j**2 + 8/13*j**3 + i.
2*(j + 3)*(2*j - 1)**2/13
Let r be (54/48)/((-2835)/(-6480)). Solve -r + 2/7*l**2 + 16/7*l = 0.
-9, 1
Let v(g) be the first derivative of -2*g**3/15 - 7008*g**2/5 - 24556032*g/5 + 7708. Determine i so that v(i) = 0.
-3504
Suppose 0 = 5*g + 20, -5*g - 10 = 3*q - g. Suppose -4*h - 9*f = -4*f - 2, 0 = -4*h - 2*f + 8. Factor -1/4*y**h - 3/4 + 1/4*y + 3/4*y**q.
-(y - 3)*(y - 1)*(y + 1)/4
Solve 984*a**3 + 6653 + 274*a**2 - 986*a**3 - 2013 + 2288*a = 0.
-4, 145
Suppose -6*v - 62 = -182. Factor -27*a**2 + 11*a**2 + 243*a - 35*a + 2704 + v*a**2.
4*(a + 26)**2
Let z(s) = s**2 + 18*s - 205. Let j be z(-20). Let b be 3/4 - (j/(-12))/(-11). Factor 0 + 4/3*t**b + 2/3*t**5 - 2*t**3 + 0*t + 0*t**4.
2*t**2*(t - 1)**2*(t + 2)/3
Let b(m) = 5*m**2 + 9*m. Suppose -2*d - 8 + 0 = 0. Let p(z) = 5*z - 24*z - 10*z**2 + 0*z**2. Let k(t) = d*p(t) - 9*b(t). Let k(c) = 0. What is c?
-1, 0
Let u(y) = -264*y + 58875. Let w be u(223). Suppose 40*v**2 + 10*v**4 + 5/4*v**5 + 20*v + 30*v**w + 0 = 0. What is v?
-2, 0
Let g = 100271/5 + -701892/35. Suppose -4/7*p - 15/7*p**3 + p**4 - g*p**5 + 0 + 13/7*p**2 = 0. What is p?
0, 1, 4
Let r be -5*1/(-4 - -8)*(-13)/(260/48). Let 2/3*o**r + 0 + 0*o + 10/3*o**2 = 0. Calculate o.
-5, 0
Let s(o) be the first derivative of 3*o**5/25 - 3*o**4/4 + 8*o**3/5 - 6*o**2/5 + 775. Let s(r) = 0. Calculate r.
0, 1, 2
Suppose 18/7 + 12/7*k**3 - 12/7*k - 2/7*k**4 - 16/7*k**2 = 0. What is k?
-1, 1, 3
Find n such that 1930 + 3275*n - 98*n + 3568*n - 752*n**2 + 717*n**2 = 0.
-2/7, 193
Suppose 4*s + 6*z - z = 105, -2*s + z + 35 = 0. Factor -20*p - 498 - 3*p**2 + 448 + 2*p**4 + 51*p**2 + s*p**3.
2*(p - 1)*(p + 1)*(p + 5)**2
Let t = 3192 - 38303/12. Let z(s) be the third derivative of 5/48*s**8 + 5/8*s**6 + 0 - t*s**5 - 19/42*s**7 + 0*s - 5/12*s**4 + 0*s**3 + 3*s**2. Factor z(f).
5*f*(f - 1)**3*(7*f + 2)
Suppose -4*u + 8 = 5*p, -2*u - 2*p + 4 = -0*p. Determine j, given that 0 - 13*j**2 + 0 - 39*j + 10*j**u = 0.
-13, 0
Suppose -4*b + 2*b - 3*n + 16 = 0, -5*b = n - 14. Factor -b*g + 10*g + 1 - 8*g - g**2 + 0.
-(g - 1)*(g + 1)
Factor -d**3 + 6300 - 212*d - 128*d - 31*d**2 + 59*d - 22*d**2 - 199*d.
-(d - 7)*(d + 30)**2
Let 1207949625/4 - 1/4*m**3 - 3402675/4*m + 3195/4*m**2 = 0. What is m?
1065
Let g(y) be the first derivative of -y**5/130 + 3*y**4/26 - 2*y**3/13 - 16*y**2/13 + 208*y + 29. Let c(b) be the first derivative of g(b). Factor c(r).
-2*(r - 8)*(r - 2)*(r + 1)/13
Let f(r) be the first derivative of 2*r**3/9 - 502*r**2/3 + 126002*r/3 - 1275. Factor f(x).
2*(x - 251)**2/3
Let r = 3983 + -3980. Let v(i) be the second derivative of 1/4*i**4 - i**r + 0 - 21*i + 3/2*i**2. Suppose v(n) = 0. What is n?
1
Let n(o) be the third derivative of 9*o**6/260 - 747*o**5/130 + 20667*o**4/52 - 571787*o**3/39 - 385*o**2 + 1. What is i in n(i) = 0?
83/3
Let k = 273 - 135. Suppose 2*d = k + 112. Factor 65*z**4 + 8*z**5 - 5*z**5 + 44*z + 530*z**2 + 2*z**5 + 290*z**3 + d + 381*z.
5*(z + 1)**3*(z + 5)**2
Let g(x) be the third derivative of x**7/210 - x**6/5 + 16*x**5/5 - 80*x**4/3 + 128*x**3 - 10302*x**2. Find v, given that g(v) = 0.
4, 12
Let q be 11/1 - (-71553)/(-6588). Let j(u) be the first derivative of q*u**4 + 0*u**2 + 20 + 0*u + 1/27*u**3. Factor j(g).
g**2*(5*g + 1)/9
Let s(h) be the first derivative of -h**5/20 + 6*h**4 + 497*h**3/12 + 201*h**2/2 + 101*h + 1570. Let s(v) = 0. Calculate v.
-2, -1, 101
Let n = -3/1358 - -691/5432. Let z(w) be the second derivative of -n*w**5 - 15/8*w**4 + 0 + 2*w - 45/4*w**3 - 135/4*w**2. Let z(s) = 0. Calculate s.
-3
Let r(d) be the second derivative of d**4/12 + d**3/6 + 49*d. Let w(y) = y**3 + 16*y**2 - 7*y. Let m(u) = 20*r(u) - 4*w(u). Factor m(c).
-4*c*(c - 1)*(c + 12)
Let s(w) be the second derivative of -3625/6*w**3 + 240*w - 2500*w**2 - 1/6*w**6 - 325/4*w**4 + 0 - 23/4*w**5. Solve s(k) = 0 for k.
-8, -5
Let t(h) be the third derivative of 0 + 1/175*h**7 - 1/840*h**8 - 1/50*h**5 - 22*h**2 + 0*h**3 - 1/300*h**6 + 0*h + 1/30*h**4. Solve t(q) = 0 for q.
-1, 0, 1, 2
Let o(t) = 4 + 11*t - 12*t + 10*t. Let y be o(0). Factor -5*j**3 - y*j + 9*j**3 + 0*j.
4*j*(j - 1)*(j + 1)
Suppose 19930 - 19930 = 12*n. Let u(x) be the second derivative of 0*x**4 - 1/12*x**3 + 0 + n*x**2 - 34*x + 1/40*x**5. Let u(m) = 0. Calculate m.
-1, 0, 1
Let g(t) be the first derivative of -6/5*t - 1/5*t**2 + 2/5*t**3 + 1/10*t**4 + 30. Factor g(j).
2*(j - 1)*(j + 1)*(j + 3)/5
Let p(j) be the first derivative of -71 + 16/5*j + 52/5*j**2 + 3/10*j**4 + 49/15*j**3. Find c, given that p(c) = 0.
-4, -1/6
Let q be (16/28)/(((-6)/(-10) + 0)/(210/400)). What is p in 3/2*p**2 + 0 + q*p**3 + p = 0?
-2, -1, 0
Suppose -4790 = -8*w + 5610. Let k = w + -9074/7. Let -2/7*q**5 - k*q**4 - 50/7 - 116/7*q**3 - 170/7*q - 212/7*q**2 = 0. Calculate q.
-5, -1
Solve 100*s**2 - 315*s - 6*s**3 + 12 + 213 + s**3 - 5*s**2 = 0 for s.
1, 3, 15
Suppose 51/5*u**3 - 48/5*u - 3/5*u**4 + 51/5*u**2 - 48/5 - 3/5*u**5 = 0. What is u?
-4, -1, 1, 4
Let c(r) be the second derivative of 10 + 5/3*r**3 + 2*r + 1/6*r**6 - 1/2*r**5 - 5/2*r**2 + 0*r**4. Suppose c(x) = 0. What is x?
-1, 1
Let n(b) be the first derivative of 9*b**5/20 - 237*b**4/16 - 69*b**3/2 - 21*b**2 + 552. Suppose n(a) = 0. Calculate a.
-1, -2/3, 0, 28
Suppose 0 = 561*l - 567*l - 66. Let m(x) = 5*x**2 - 12*x + 15. Let u(y) = -25*y**2 + 56*y - 75. Let v(r) = l*m(r) - 2*u(r). Suppose v(n) = 0. What is n?
1, 3
Suppose 2*m - 6 = -3*x + 1, 5*m + 4*x = 14. Let 5432*d**2 + 59*d + 11*d - 5427*d**m = 0. Calculate d.
-14, 0
Factor 1253 - 3*y**3 - 616 - 637 - 6*y - 9*y**2.
-3*y*(y + 1)*(y + 2)
Let a = -3455 - -3455. Let x(f) be the third derivative of a*f**3 + 0 + 0*f - 5/6*f**4 - 6*f**2 + 1/12*f**5. What is z in x(z) = 0?
0, 4
Let k(p) be the third derivative of 0 - 1/30*p**5 + 67*p**2 - 2/9*p**3 + 2*p + 1/8*p**4 + 1/360*p**6. Solve k(m) = 0 for m.
1, 4
Let w(i) be the third derivative of i**6/2880 - 31*i**5/480 + 961*i**4/192 + 63*i**3/