93*w. Factor o(j).
-3*(j - 1)*(j + 3)*(j + 37)/4
Let b = -57 - -59. Factor -15*r**2 - 109*r**3 - 23*r**b - 52*r**2 + 15*r**4 - 16*r**3.
5*r**2*(r - 9)*(3*r + 2)
Let v be 1/((-15)/(-15))*0/2. Let r(g) be the second derivative of g + v - 2/27*g**4 + 0*g**2 - 4/27*g**3 - 1/90*g**5. Factor r(z).
-2*z*(z + 2)**2/9
Let t = 629 + -636. Let b be (4/8)/(6 - t/(-2)). Factor -6/5*m + 0 + b*m**2.
m*(m - 6)/5
Factor 2 - 2 - 23*f**4 + 20*f**4 - 5138*f**2 - 795*f**3 + 449*f**2 - 6993*f.
-3*f*(f + 3)**2*(f + 259)
Let c(j) be the second derivative of -3*j**5/20 + 23*j**4/2 + 98*j**3 + 300*j**2 + 1725*j. Find i such that c(i) = 0.
-2, 50
Let u be (0 - 2 - -1)*(-3072)/4. Let s = 49 - 47. Factor -2*k**3 - 44 - 1521*k - 117*k**s - k**3 - 7315 + u.
-3*(k + 13)**3
Let c(t) = 2*t**3 + 158*t**2 - 642*t + 646. Let d(q) = -2*q**3 - 160*q**2 + 643*q - 645. Let z(g) = -3*c(g) - 2*d(g). Find b, given that z(b) = 0.
-81, 2
Factor -64 + 16*w**3 + 0*w**2 + 7*w - 23*w + w**4 - 8*w**2 + 76 - 5*w**4.
-4*(w - 3)*(w - 1)**2*(w + 1)
Let y(r) be the second derivative of -23*r**4/12 + 133*r**3/6 + 15*r**2 + 4*r - 163. Factor y(b).
-(b - 6)*(23*b + 5)
Let v(w) = w**3 + 60*w**2 + 236*w + 676. Let c be v(-56). Factor -1/4*y**2 - c - 2*y.
-(y + 4)**2/4
Let g(l) = -2*l**3 - l**2 + l + 1. Let z(a) = -14*a**3 - 8*a**2 + 8. Let s be (-4 - (2 + -3)) + 12 + -8. Let b(o) = s*z(o) - 8*g(o). Factor b(w).
2*w*(w - 2)*(w + 2)
Let y(j) be the first derivative of -32*j**5/55 + 892*j**4/11 - 94898*j**3/33 - 127110*j**2/11 - 162450*j/11 - 1348. Find a such that y(a) = 0.
-5/4, 57
Let g = -25/36 + -7769/36. Let x = g + 869/4. What is c in -x - 3/2*c**2 - 15/8*c - 3/8*c**3 = 0?
-2, -1
Determine r, given that 2563*r**4 - 133*r**3 + 110*r**2 + 18*r**3 - 440*r**2 - 2538*r**4 = 0.
-2, 0, 33/5
Suppose 4 + 4 = h, 0 = -4*f + 20*h - 19*h. Determine b so that -177/2*b - 6*b**5 - 129/2*b**4 + 93/2*b**f + 18 + 189/2*b**3 = 0.
-12, -1, 1/4, 1
Let l = 1246 - 1241. Let z(p) be the second derivative of 0*p**3 + 0*p**2 - 5/12*p**4 - 29*p - 1/3*p**6 - 3/4*p**l + 0. Suppose z(m) = 0. Calculate m.
-1, -1/2, 0
Let u = -6128 - -6131. Let l(v) be the third derivative of 1/390*v**5 - 2/13*v**4 + v**2 + 0*v + 48/13*v**u + 0. Factor l(q).
2*(q - 12)**2/13
Let y(o) be the second derivative of 1/80*o**5 - 1/8*o**4 + 3/8*o**3 + 0*o**2 + 82*o + 0. Solve y(c) = 0.
0, 3
Let d(n) be the third derivative of -1/420*n**5 + 1/1260*n**6 + 0 + 4/3*n**3 + 0*n + 0*n**4 - 6*n**2. Let r(j) be the first derivative of d(j). Factor r(i).
2*i*(i - 1)/7
Let j(i) be the first derivative of -442/3*i**3 + 59 + 2*i**2 - 21*i**6 + 559/5*i**5 - 397/4*i**4 + 24*i. Solve j(v) = 0 for v.
-1/2, -2/7, 2/9, 2, 3
Let a(d) be the third derivative of 37*d**6/120 - 863*d**5/10 + 15085*d**4/2 + 4900*d**3/3 + 2*d**2 - d + 132. Suppose a(n) = 0. Calculate n.
-2/37, 70
Let v(d) = 24*d**3 - 48*d**2 - 506*d + 34. Let y(o) = 5*o**3 - 9*o**2 - 101*o + 7. Let q(p) = -14*v(p) + 68*y(p). Determine c, given that q(c) = 0.
-9, -6, 0
Let d(o) be the first derivative of -o**4/4 - 398*o**3/3 + 401*o**2/2 + 798*o - 6927. Determine a so that d(a) = 0.
-399, -1, 2
Let q(r) be the first derivative of 0*r - 1/24*r**4 + 42 + 1/72*r**6 + 1/60*r**5 + 0*r**2 + 0*r**3. Factor q(l).
l**3*(l - 1)*(l + 2)/12
Solve 2/11*b**5 + 1328/11*b**2 - 444/11*b**4 + 0 - 6/11*b**3 + 888/11*b = 0 for b.
-1, 0, 2, 222
Let i(g) be the second derivative of g**5/60 + 7*g**4/18 + 14*g**3/9 - 20*g**2 - 3126*g. Determine h, given that i(h) = 0.
-10, -6, 2
Let o(z) be the third derivative of z**7/420 + 121*z**6/120 + 319*z**5/40 + 149*z**4/6 + 119*z**3/3 - 229*z**2 + 2*z + 1. Solve o(t) = 0.
-238, -2, -1
Let h = 1068/77 + -5109/385. Determine f, given that -h*f**2 + 3/5*f + 0 = 0.
0, 1
Suppose 3*q = 13*q - q - 2*q. Let s(f) be the third derivative of -13*f**2 + 3/200*f**5 + 7/240*f**4 + q + 0*f - 1/30*f**3. Factor s(l).
(l + 1)*(9*l - 2)/10
Let k(o) be the first derivative of -2*o**3/39 - 489*o**2/13 + 11066. Factor k(d).
-2*d*(d + 489)/13
Let x be ((-72)/(-18))/((-8)/(-26)). Suppose -15 = -x*p + 10*p - 4*l, -3*l - 25 = -5*p. Factor -3/2*a**3 + 1/2*a**4 - 1/2*a**2 + 0 + a + 1/2*a**p.
a*(a - 1)**2*(a + 1)*(a + 2)/2
Factor -207936/5 - 1/5*l**4 + 206112/5*l - 452/5*l**3 - 50164/5*l**2.
-(l - 2)**2*(l + 228)**2/5
Suppose 36*t + 8 = 40*t. Determine r, given that -1 + 729*r**t - 3 + 10*r - 737*r**2 + 2*r**3 = 0.
1, 2
Let u(l) be the third derivative of -l**4/12 - l**3 - 21*l**2. Let p be u(-3). Solve -5 + p + 3*b**2 + 5*b**3 + 0 - 5*b + 2*b**2 = 0.
-1, 1
Let j(p) be the third derivative of 2/3*p**3 + 0*p + 1/240*p**6 + 1/420*p**7 - 1/12*p**4 - 1/20*p**5 - 28*p**2 + 0. Factor j(v).
(v - 2)*(v - 1)*(v + 2)**2/2
Let k = -2190 + 2195. Let j(t) be the third derivative of 0 - 2/315*t**7 + 1/15*t**k + 0*t + 0*t**3 + 0*t**4 - 13*t**2 - 1/45*t**6. What is v in j(v) = 0?
-3, 0, 1
Let b(d) be the second derivative of -d**5/10 - 11*d**4/6 - 20*d**3/3 + 32*d**2 + 20*d + 34. Factor b(x).
-2*(x - 1)*(x + 4)*(x + 8)
Let x(s) be the third derivative of 0 - 1/600*s**6 + 0*s**4 + 0*s**3 - 3*s + 3*s**2 + 1/300*s**5. Let x(p) = 0. What is p?
0, 1
Let a(g) = 24897*g**3 - 49812*g**2 + 24909*g - 6. Let t(q) = -9959*q**3 + 19925*q**2 - 9963*q + 2. Let p(c) = 5*a(c) + 12*t(c). Factor p(l).
3*(l - 1)**2*(1659*l - 2)
Let l = 674 - 527. Let y be l/(-30) - (-23 - -18). Solve -y*n**2 + 0*n + 1/5*n**3 - 1/10*n**4 + 0 = 0.
0, 1
Let k(r) be the second derivative of r**6/165 + 19*r**5/55 + 281*r**4/66 + 580*r**3/33 - 6729*r. Solve k(o) = 0 for o.
-29, -5, -4, 0
Let o(l) be the second derivative of 1/2*l**3 - 1/24*l**4 + 0*l**2 - 1/60*l**6 - 1/10*l**5 + 7 - l. Factor o(q).
-q*(q - 1)*(q + 2)*(q + 3)/2
Let j(p) be the third derivative of 0 + 0*p + 7/6*p**5 + 0*p**6 - 2/21*p**7 + 94*p**2 - 85/24*p**4 + 5*p**3 + 5/336*p**8. Factor j(z).
5*(z - 3)*(z - 1)**3*(z + 2)
Let a be (-2)/(-5 + (-1)/(-10)*46). Let 35*f + a*f**3 - 33*f**2 + 11*f**2 + 4*f**2 - 22*f**2 = 0. Calculate f.
0, 1, 7
Let a(w) = -w**3 + 20*w**2 - 18*w + 6. Let z be a(19). Let k = 29 - z. Let 12*r**3 + k*r**5 - 4*r - 12*r**2 - 4*r - 8*r**3 + 12*r**4 = 0. What is r?
-2, -1, 0, 1
Suppose 4*z + 30*g - 31*g = -120, -2*z - g = 60. Let b = z + 104/3. Factor -2/3*d**3 - 2 - b*d - 10/3*d**2.
-2*(d + 1)**2*(d + 3)/3
Determine k, given that 7*k**4 - 24*k**3 - 4*k**5 - 6*k**4 + 17*k**4 + 2*k**4 = 0.
0, 2, 3
Let w = 142 + -139. Factor -62*z**w + 22*z - 2*z + 57*z**3.
-5*z*(z - 2)*(z + 2)
Let u(h) be the second derivative of h**10/10080 - h**9/1008 + h**8/560 - 49*h**4/6 + 132*h. Let f(m) be the third derivative of u(m). Factor f(r).
3*r**3*(r - 4)*(r - 1)
Let r be (-112)/(-117) - ((-756)/780 + 1)*-5. Let t = 33/23 - 205/207. What is g in 2/9*g**5 + 8/9*g**3 + t - 8/9*g**4 - r*g + 4/9*g**2 = 0?
-1, 1, 2
Let y = 493575 + -493573. Factor -12/7*i**3 + 69/7*i**y - 6*i - 15/7.
-3*(i - 5)*(i - 1)*(4*i + 1)/7
Let v(h) be the first derivative of -h**3/9 - 222*h**2 - 147852*h - 7511. Factor v(c).
-(c + 666)**2/3
Let m be ((-1)/30 - ((-3)/(-12))/((-70)/56))*27. Suppose m*t + 3/4*t**2 + 6 = 0. What is t?
-4, -2
Let b(n) = -n**3 - 10*n**2 - 10*n - 7. Let y be b(-9). Let h be (-1)/(1/(-18)*y*3). Suppose 8/7 + 4/7*k - 4/7*k**h - 8/7*k**2 = 0. What is k?
-2, -1, 1
Let s(d) be the third derivative of d**7/1785 + d**6/34 + 18*d**5/85 - 206*d**4/51 + 320*d**3/17 + 9164*d**2. Determine w so that s(w) = 0.
-24, -10, 2
Suppose -197*f**3 - 2*f**4 - 1056*f**2 + 28*f**3 - 28*f**3 + 1408 - 167*f**3 + 16*f - 2*f**4 = 0. Calculate f.
-88, -2, 1
Let u(m) be the first derivative of 17*m**5/240 + 5*m**4/32 - m**3/12 - 69*m**2 - 132. Let n(r) be the second derivative of u(r). Factor n(o).
(o + 1)*(17*o - 2)/4
Let h(g) be the second derivative of g**4/102 - 176*g**3/51 + 175*g**2/17 - 1657*g. Factor h(i).
2*(i - 175)*(i - 1)/17
Let c(q) be the third derivative of -4*q**2 + 0*q + 7/48*q**6 + 5/12*q**5 + 0*q**3 - 5/3*q**4 - 1 - 1/84*q**7. Factor c(h).
-5*h*(h - 8)*(h - 1)*(h + 2)/2
Let a be (1/(11 - 13))/(1/(-2)). Let q(m) = 3*m**2 + 11*m - 15. Let s(f) = 4*f**2 + f + 1. Let r(o) = a*q(o) - s(o). Let r(b) = 0. What is b?
2, 8
Let v be (9 - (-315)/(-36))/((-2)/(-16)). Let w(b) be the first derivative of 10 - 8/3*b + 2*b**v - 4/3*b**4 + 8/9*b**3 + 0*b**5 + 2/9*b**6. Factor w(t).
4*(t - 1)**3*(t + 1)*(t + 2)/3
Let b be (573/(-7))/3 - 4/(-14)