ve of j**7/420 + j**6/16 + 13*j**5/120 - 5*j**4/16 - 7*j**3/6 + 388*j**2 - j. Let f(s) = 0. Calculate s.
-14, -1, 1
Let s(c) be the third derivative of c**5/12 + 415*c**4/6 + 68890*c**3/3 + 292*c**2. Factor s(l).
5*(l + 166)**2
Suppose 2*m + 8 = 0, 96*v - 100*v = -m - 24. Let w be -4*(-68)/32 - v. Factor 25/2*d + 6*d**2 - w*d**3 + 3.
-(d - 3)*(d + 1)*(7*d + 2)/2
Let o(r) = -2*r**2. Let s(c) = c**3 - c - 1. Let d = 8 + -7. Let q(j) = d*o(j) - 2*s(j). Solve q(f) = 0.
-1, 1
Let k = -144127 + 144129. Factor 1/11*u**k + 7/11 - 8/11*u.
(u - 7)*(u - 1)/11
Let p(o) = -o**3 - o**2 + o + 3. Let v be p(0). Let j be 3 + -1 - 0/(-1). Determine m so that 20*m - 48*m**2 + 12 - 52*m**j + 15 - v = 0.
-2/5, 3/5
Let w(s) be the first derivative of -104 + 2/5*s**5 - 2*s**3 - 24*s - 3*s**4 + 20*s**2. Factor w(a).
2*(a - 6)*(a - 1)**2*(a + 2)
Let g(t) be the first derivative of 4*t**3/27 + 470*t**2/9 - 632*t/3 - 1445. Factor g(s).
4*(s - 2)*(s + 237)/9
Let p(s) be the first derivative of s**4/6 - 80*s**3/9 + 11*s**2 + 156*s + 977. Factor p(n).
2*(n - 39)*(n - 3)*(n + 2)/3
Let z(w) = 3*w**5 - 801*w**4 + 43905*w**3 + 136089*w**2 + 137607*w + 46128. Let s(g) = -2*g**4 - 2*g**2 - g. Let v(c) = -33*s(c) + z(c). Factor v(p).
3*(p - 124)**2*(p + 1)**3
Let t(h) be the second derivative of h**7/7 - 2*h**6/3 - h**5/5 + 8*h**4/3 - h**3/3 - 6*h**2 - 148*h + 3. Suppose t(u) = 0. What is u?
-1, -2/3, 1, 3
Suppose -17*t - 93 + 263 = 0. Factor -422*b**2 - 137*b**3 + 4*b**3 + t - 175*b + 42*b**2 - 62*b**3.
-5*(b + 1)**2*(39*b - 2)
Let y be (-3950)/7900 + (-1)/(-8)*46. Find b, given that 0 - 3/4*b**3 + 6*b**2 - y*b = 0.
0, 1, 7
Let s(p) = 4*p**5 + 10*p**4 + 16*p**3 + 2*p**2. Let a(t) = 5*t**5 + 9*t**4 + 16*t**3 + 3*t**2. Let r(u) = -2*a(u) + 3*s(u). Factor r(o).
2*o**3*(o + 2)*(o + 4)
Factor -516 + 96*a - 8*a**2 + 303 - 522 + 30*a + 5*a**2.
-3*(a - 35)*(a - 7)
Let f = 47 - 44. Suppose f*x + l - 5 = 0, -4*x + x - 2*l = -1. Factor -2*c**x - 7*c**5 - 10*c**2 + 11*c**5 + 2*c**2 - 10*c**3.
4*c**2*(c - 2)*(c + 1)**2
Determine w so that 2900*w**2 + w**3 - 527076 - 428770*w - 95402*w - 5*w**3 = 0.
-1, 363
Let m be 6/24 + (-19)/(-4). What is n in -4*n**m - 58*n**4 + 28*n**4 + 28*n**3 + 30*n**4 + 24*n**2 = 0?
-2, -1, 0, 3
Let x(b) = b**2 - 33*b + 72. Let t be x(24). Let h be (2/4 - 120/t) + -1. Let 2/3*d**2 - 2/3*d**4 + 0*d**3 + 1/3*d**5 + 0 - h*d = 0. What is d?
-1, 0, 1
Let y(p) be the second derivative of 0*p**2 + 1/2*p**3 + 263*p - 1/40*p**6 - 3/80*p**5 + 1/4*p**4 + 0. Factor y(d).
-3*d*(d - 2)*(d + 1)*(d + 2)/4
Let c(x) be the first derivative of -x**3/24 + 35*x**2/8 - 33*x + 589. Factor c(i).
-(i - 66)*(i - 4)/8
Let f(n) be the second derivative of -n**4/36 + 283*n**3/18 + 95*n**2 - 2294*n. Factor f(a).
-(a - 285)*(a + 2)/3
Let y = 19/1003 + 23977/5015. Find s, given that -28/5*s**3 - 68/5*s + 68/5*s**2 + y + 4/5*s**4 = 0.
1, 2, 3
Let j = 16240 + -16237. Let y be (-416)/(-117)*(-3)/(-4). Factor -8/3*r + 0 + y*r**2 - 2/3*r**j.
-2*r*(r - 2)**2/3
Let l(q) be the first derivative of -q**4 + 32*q**3 + 3536. Let l(b) = 0. What is b?
0, 24
Let b(s) be the second derivative of 2*s**7/63 + 52*s**6/45 + 43*s**5/5 + 176*s**4/9 - 184*s**3/9 - 160*s**2 + 42*s + 9. Solve b(w) = 0 for w.
-20, -3, -2, 1
Let s = -167 - -177. Find z, given that 5*z - s - 4*z**2 + 11*z - 2 + 0*z**2 = 0.
1, 3
Let u(s) be the second derivative of -22*s**3 + 0 + 49*s - 1/5*s**5 - 72*s**2 - 10/3*s**4. Factor u(g).
-4*(g + 3)**2*(g + 4)
Solve 3*g**5 - 5*g**4 - 6*g**4 + 1345*g**3 - 61*g**4 - 970*g**3 - 306*g**2 = 0 for g.
0, 1, 6, 17
Let c(b) be the second derivative of -2/3*b**2 + 0 - 5/27*b**3 - 1/54*b**4 - 17*b. Find n, given that c(n) = 0.
-3, -2
Let m be 8 - -1*(-12)/4. Suppose -m*o = -41 - 74. Factor 11*t**2 + t**4 - 8*t + t**4 - o*t**2 + 24*t**2 - 8*t**3 + 2.
2*(t - 1)**4
Factor -305/3*p + 68 + 67/2*p**2 + 1/6*p**3.
(p - 2)*(p - 1)*(p + 204)/6
Let g(z) be the second derivative of 0*z**2 - 1/30*z**4 - 13/15*z**3 + 0 + 178*z. Find r, given that g(r) = 0.
-13, 0
Let h(v) be the second derivative of -v**4/4 + 17*v**3/2 + 57*v**2 - 7*v + 19. Factor h(x).
-3*(x - 19)*(x + 2)
Let u(w) be the first derivative of 1/80*w**6 + 1/40*w**5 + 14 - 5*w**2 - 1/8*w**4 + 0*w + 0*w**3. Let g(a) be the second derivative of u(a). Factor g(x).
3*x*(x - 1)*(x + 2)/2
Let x = -2414 + 2414. Let n(p) be the second derivative of 1/13*p**2 + x - 1/78*p**4 + 0*p**3 + 4*p. Suppose n(t) = 0. Calculate t.
-1, 1
Let d(m) be the first derivative of -9/28*m**4 - 41/7*m**3 + 21*m - 205 - 57/2*m**2. Factor d(x).
-3*(x + 7)**2*(3*x - 1)/7
Let k(o) be the first derivative of 122 + 48/7*o**2 - 14*o + 2/21*o**3. Factor k(f).
2*(f - 1)*(f + 49)/7
Suppose 0 = 13*c - 15*c + 6. Suppose 0*v = -c*v + 27. Solve 3*n - 2*n + 25*n**2 + v*n - 15 + 0 = 0 for n.
-1, 3/5
Let k(b) be the second derivative of -b**5/10 + 9*b**4/2 - 50*b**3/3 + 4084*b. Factor k(t).
-2*t*(t - 25)*(t - 2)
Let l(i) = 2*i**2 - 40*i + 150. Let o be l(5). Let d(n) be the first derivative of o*n**2 - 3/20*n**4 - 3/10*n**3 - 1/50*n**5 + 0*n - 4. Solve d(f) = 0 for f.
-3, 0
Suppose 6*s + 936 - 3042 = 0. Let b be (-56)/(-26) - 9*6/s. Factor 0 + 0*m**b + 0*m - 2/7*m**3.
-2*m**3/7
Let g = -3587 - -3591. Let u(q) be the second derivative of 1/20*q**5 + 16*q**2 + 0 + 5/6*q**g + 9*q + 16/3*q**3. Factor u(c).
(c + 2)*(c + 4)**2
Suppose 1164*p = 1180*p - 96. Suppose -3*c - q + 14 = 0, -2 = 3*c - q - p. Suppose 2/7*m**c + 0*m + 0*m**2 + 2/7*m**4 + 0 = 0. What is m?
-1, 0
Let w(d) be the third derivative of 0*d**5 + 0 + 0*d**3 + 0*d + 1/30*d**4 - 1/150*d**6 + 74*d**2. Factor w(k).
-4*k*(k - 1)*(k + 1)/5
Let c(l) be the first derivative of 0*l**2 - 2/55*l**5 - 26 + 0*l**4 - 2/11*l + 4/33*l**3. Factor c(m).
-2*(m - 1)**2*(m + 1)**2/11
Solve -704*s - 592900 + 17*s**2 - 11*s**2 - 726*s - 110*s - 7*s**2 = 0.
-770
Let y = -141 - -120. Let m be (-14)/y - 28/(-21). What is i in -15/8*i + 3/8*i**m + 3/2 = 0?
1, 4
Suppose 3*r = 19*l - 22*l + 540, l - 4*r - 195 = 0. Solve -183*i**3 + 484 - 84*i**2 + l*i + 213*i + 187*i**3 = 0 for i.
-1, 11
Let f(y) = 22*y**3 - 4*y**2 + 10*y + 20. Let c(k) = 2*k**3 - k**2 + k + 2. Let w(o) = -20*c(o) + 2*f(o). Determine i so that w(i) = 0.
-3, 0
Let j = 11 - 9. Factor 0*w**4 - 3*w**4 + 65*w**j - 12*w - 37*w**2 - 13*w**3.
-w*(w - 1)*(w + 6)*(3*w - 2)
Let c be (-12)/(-9)*33/11. Find u, given that -3*u**c - 39*u**3 - 72*u + 15*u**3 - 78*u**2 - 3*u**3 = 0.
-4, -3, -2, 0
Let j(p) be the first derivative of 4*p**2 - p**4 + 0*p - 53 + 4/3*p**3. Suppose j(i) = 0. Calculate i.
-1, 0, 2
Let u be 22 + (0 - 572/26). Let r(s) be the third derivative of -1/3*s**5 + 4/3*s**3 + 0 + u*s + 1/2*s**4 - 2*s**2. Factor r(a).
-4*(a - 1)*(5*a + 2)
Let n be (-10 - -13)/((-1)/(-13)). Suppose 3*o - 3*w = -3 + n, 4*w = -16. Factor 24*s + 46*s - o*s**3 + 32 - 10*s**4 + 28*s**2 + 4*s**2 - 6*s - 2*s**5.
-2*(s - 2)*(s + 1)*(s + 2)**3
Let r(l) be the first derivative of -l**6/39 + 6*l**5/13 + 41*l**4/26 - 682*l**3/13 + 968*l**2/13 - 975. Solve r(j) = 0.
-8, 0, 1, 11
Let v = -24456 - -24485. Let c(b) be the third derivative of -2/105*b**5 + 4/21*b**3 - 1/420*b**6 + 1/84*b**4 + 0 + 0*b - v*b**2. Factor c(r).
-2*(r - 1)*(r + 1)*(r + 4)/7
Let c(w) be the first derivative of 0*w - 1029/10*w**2 + 16 + 48*w**5 + 931/5*w**3 - 32/5*w**6 - 693/5*w**4. Factor c(j).
-3*j*(j - 1)*(4*j - 7)**3/5
Let h(q) be the third derivative of q**6/30 + 1204*q**5/5 + 724808*q**4 + 3490675328*q**3/3 + 295*q**2 + 3. Solve h(f) = 0.
-1204
Let x = -1047938/165 + 69864/11. Find b, given that -2/15*b - x*b**2 + 0 = 0.
-1, 0
Let o(z) be the first derivative of z**4/4 - 395*z**3/3 - 198*z**2 + 2971. Factor o(q).
q*(q - 396)*(q + 1)
Let n(o) = 6*o**3 - 24*o**2 + 30*o. Let f(h) = -7*h**3 + 25*h**2 - 30*h. Let j = 293 + -290. Let a(l) = j*f(l) + 4*n(l). Factor a(z).
3*z*(z - 5)*(z - 2)
Let z(b) be the first derivative of b**5/5 + b**4/12 - 2*b**3/3 - b**2/2 - 45*b + 193. Let g(q) be the first derivative of z(q). Factor g(p).
(p - 1)*(p + 1)*(4*p + 1)
Let w(s) be the third derivative of 243/8*s**3 - 35*s + 2*s**2 - 9/16*s**4 + 0 + 1/240*s**5. Factor w(z).
(z - 27)**2/4
Let f(n) = 5*n**2 - 57*n - 58. Let s(i) = 5*i**2 - 54*i - 56. Let y(k) = 3*f(k) - 4*s(k). Suppose y(t) = 0. Calculate t.
-1, 10
Suppose -12*w + 10 + 26 = 0. Determine c so that 2*c**2 + 242*c**w