t k(w) = -8*j(w) + z(w). Let k(r) = 0. What is r?
-191, 1/2, 2/3
Let y = -379 + 381. Let o be y*3/(-3)*(-80)/56. Let -o*i**2 + 0 - 12/7*i**3 + 8/7*i = 0. What is i?
-2, 0, 1/3
Let o(b) be the first derivative of b**6/216 - b**5/3 + 115*b**4/72 + 83*b**3/3 + 33. Let t(k) be the third derivative of o(k). Factor t(n).
5*(n - 23)*(n - 1)/3
Let i(s) be the second derivative of s**4/9 - 3820*s**3/9 + 1824050*s**2/3 - 6461*s. Let i(q) = 0. What is q?
955
Let s be (-22)/(-1)*86/4730. Solve 0 - 2/5*z - s*z**5 + 8/5*z**2 + 8/5*z**4 - 12/5*z**3 = 0.
0, 1
Let d(v) be the third derivative of -v**6/40 + 5*v**5 - 97*v**4/2 + 192*v**3 - 5*v**2 - 169*v. Find o, given that d(o) = 0.
2, 96
Let f be 69 + 15408/(-225) - (-4)/(-200). Find h, given that f*h**4 + 0 - 20*h - 23/2*h**3 + 31*h**2 = 0.
0, 1, 2, 20
Factor -30 - 396 - 270 + 250*r + 28*r**2 + 136 - 13*r**2.
5*(r - 2)*(3*r + 56)
Let c(p) be the first derivative of -p**5/100 + 49*p**4/60 - 104*p**3/5 + 288*p**2/5 + 88*p + 5. Let g(s) be the first derivative of c(s). Factor g(j).
-(j - 24)**2*(j - 1)/5
Suppose -4*j**2 - 12*j**2 - j**3 - 5*j**2 + 0*j**3 - 66*j - 4*j**2 = 0. What is j?
-22, -3, 0
Let i = -508 + 511. Suppose -2*h - i*p = -4 + 2, -h = -p - 6. Let -1/4*b**5 - h*b**2 - 7/2*b**3 - 9/4*b - 3/2*b**4 - 1/2 = 0. Calculate b.
-2, -1
Let j(s) be the first derivative of s**7/168 - s**6/40 + 3*s**5/80 - s**4/48 + 31*s + 27. Let q(y) be the first derivative of j(y). What is f in q(f) = 0?
0, 1
Let y(d) be the second derivative of d**7/21 - d**6/15 - 9*d**5/5 + 25*d**4/3 - 47*d**3/3 + 15*d**2 - 1483*d. Factor y(v).
2*(v - 3)*(v - 1)**3*(v + 5)
Let y be 27/(-24) - (-1)/8. Let g be y/(-6) - (-136)/48. Let 96 + 18*p**2 - 72*p - 3/2*p**g = 0. What is p?
4
Let c be -2*(-15)/6 + 1. Suppose -9 + 1 = -2*p + n, 3*p + n = 2. Determine g, given that g**4 - 5*g**5 - 4*g**p + c*g**2 + 4*g**4 + 5*g**3 - 7*g**2 = 0.
-1, 0, 1
Let k = -78 - -89. Factor 10*v**4 - 2*v**5 - 8*v - 30*v**3 - 13*v**4 - 26*v**2 - k*v**4.
-2*v*(v + 1)**3*(v + 4)
Let q be ((-14)/8 - -1)/3*(-1870)/440. Let h(m) be the first derivative of 7/4*m**3 + 3/20*m**5 + 0*m - 9/8*m**2 + 19 + q*m**4. Suppose h(n) = 0. Calculate n.
-3, 0, 1/3
Let d(n) be the third derivative of 0*n + 13/180*n**5 + 1/630*n**7 + 2/9*n**3 + 1/6*n**4 + 0 + 1/60*n**6 - 29*n**2. Let d(g) = 0. What is g?
-2, -1
Let t be ((-96)/(-256))/(1050/80 - 13). Determine p so that -2/3*p**4 + 0 - 4*p + 2/3*p**2 + 4*p**t = 0.
-1, 0, 1, 6
Suppose -2037 + 1039 = -499*h. What is b in -320 - 40*b - 5/4*b**h = 0?
-16
Let r(k) be the first derivative of 13*k**4 - 20*k**3 - 152*k**2 + 48*k - 241. Factor r(o).
4*(o - 3)*(o + 2)*(13*o - 2)
Let o(r) = -r**2 + r. Let s(c) be the first derivative of -11*c**3/3 - 169*c**2/2 + 50*c + 94. Let g(l) = 4*o(l) - s(l). Find n, given that g(n) = 0.
-25, 2/7
Let n(s) be the first derivative of 2*s**5/35 + 389*s**4/7 + 302642*s**3/21 - 303. Factor n(y).
2*y**2*(y + 389)**2/7
Let q(u) be the third derivative of -u**6/660 + 259*u**5/165 + 260*u**4/33 + 3486*u**2. Factor q(n).
-2*n*(n - 520)*(n + 2)/11
Let o be (-4561360)/(-1152) - 2/(-18). Let c = o - 3954. Suppose c*r + 15/2*r**2 + 15/4*r**3 - 3/8*r**5 + 0*r**4 + 3/2 = 0. What is r?
-1, 4
Let m be 103/618 - ((-1846)/(-12))/(-1). Let a be m/154 - (-6)/14. What is o in -2 - 26/7*o - a*o**2 + 2/7*o**3 = 0?
-1, 7
Let b(i) be the second derivative of 2*i**6/45 + 314*i**5/15 + 69*i**4 - 208*i**3 + 1039*i. Solve b(f) = 0.
-312, -3, 0, 1
Suppose -2*q + 2*t + 57 = 3*t, -3*t = -q + 39. Determine h so that 25 + 8*h + 33*h + q*h - 26*h - 10*h**2 = 0.
-1/2, 5
Let j = 36 - 34. Suppose 0 = -4*w - 3*b + 1321, 2*w + 0*b = -2*b + 658. Factor -w*h + h**4 + 332*h - h**2 + 0*h**2 + j*h**3.
h*(h - 1)*(h + 1)*(h + 2)
Let h = -70/39 + 2113/1170. Let o(c) be the third derivative of 5*c**2 - 1/9*c**3 + 0*c**4 + 0*c + h*c**5 + 0. Solve o(f) = 0.
-1, 1
Factor -95 - 9/5*c**2 + 1/5*c**3 - 33*c.
(c - 19)*(c + 5)**2/5
Suppose 5*v - 72 = 4*z - 81, -6*v + 36 = 3*z. Let o(m) be the first derivative of 17/10*m**2 + 43 - m**v - 2/5*m. Factor o(u).
-(u - 1)*(15*u - 2)/5
Let j be 0/(-8 - -5 - -2). Suppose 12*m - 10*m - 6 = j. Factor -3*v + 9*v**3 - 3*v**5 - 7*v**m + 4*v**3.
-3*v*(v - 1)**2*(v + 1)**2
Suppose -724*h - 47*h**3 + 739*h + 78 + 147 - 47*h**3 - 176*h**2 + 30*h**3 = 0. Calculate h.
-15/8, 1
Factor 248/7*g + 512/7 - 4/7*g**2.
-4*(g - 64)*(g + 2)/7
Let u = -59674 - -119357/2. Let -15/4*o**4 + 0 + 3/4*o**5 + 15/4*o**2 + 15/4*o**3 - u*o = 0. What is o?
-1, 0, 1, 2, 3
Let w be 5/(20/(-16)) + 7. Suppose -w*p = 3*d - 42, 0*p - 4*d = -2*p + 16. Suppose -p*v - 3*v + 5*v**4 + 15*v**3 + v - 5*v**5 - 5*v**2 + 4*v = 0. Calculate v.
-1, 0, 1, 2
Let s(f) = f**4 + f**3 - f**2 + f - 1. Let u(r) = r**5 + 5*r**4 - 23*r**3 + 5*r**2 + 16*r - 7. Let z = 830 - 826. Let a(v) = z*u(v) + 12*s(v). Solve a(d) = 0.
-10, -1, 1
Suppose 0 = -4*y - 12, 0*b + 5*y = 5*b - 245. Find f, given that -4*f**3 + 193*f + 65*f**2 - b*f**3 + 107*f + 5*f**4 + 180 = 0.
-1, 6
Let f(b) be the first derivative of -1/12*b**4 - 1/10*b**5 + 8*b**2 + 9 + b**3 + 1/60*b**6 + 0*b. Let d(z) be the second derivative of f(z). Solve d(w) = 0.
-1, 1, 3
Let h = 123558 - 617786/5. Factor 6*k + h*k**2 - 72/5 - 2/5*k**3.
-2*(k - 3)**2*(k + 4)/5
Let s = -78782 - -78785. Find a such that 33/2*a - 9/2*a**s + 0 + 25/2*a**2 - 1/2*a**4 = 0.
-11, -1, 0, 3
Suppose 28*o - 3*o + 8 = 29*o. Let m(j) be the third derivative of 0*j - 1/84*j**4 + 1/210*j**5 + 0 + 15*j**o + 0*j**3. Factor m(d).
2*d*(d - 1)/7
Let x(w) = -5*w + 70. Let j be x(8). What is d in 68*d**5 - 71*d**5 - 71 + 71 - 27*d**3 + j*d**4 = 0?
0, 1, 9
Let p be (1/2)/(-1 + 3). Suppose 0 = -117*b + 3504 - 3153. Factor 0*x + 1/4*x**b + 0 + p*x**2.
x**2*(x + 1)/4
Suppose -z + 12 = 4*t + 76, -3*t - 48 = 3*z. Let g = 19 + t. Factor x**g + 47*x**2 - 26*x**2 - 24*x**2.
x**2*(x - 3)
Factor -291/7*d + 1530/7 - 3/7*d**2.
-3*(d - 5)*(d + 102)/7
Let y be 44/(-33)*3 + 672. Let u = -666 + y. Factor 3/5*b**u + 21/5 + 24/5*b.
3*(b + 1)*(b + 7)/5
Let x(c) be the second derivative of 2*c**7/147 + 6*c**6/7 + 135*c**5/7 + 1305*c**4/7 + 6480*c**3/7 + 17496*c**2/7 + 68*c. Factor x(n).
4*(n + 3)**3*(n + 18)**2/7
Let s = 5355/4 - 34611/20. Let c = s + 392. Factor c*r**4 - 4/5*r**3 + 0*r + 0 + 4/5*r**2.
r**2*(r - 2)**2/5
Let b(a) = 8*a**3 + 18*a**2 + 2. Let s(x) be the first derivative of 17*x**4/2 + 73*x**3/3 + 9*x + 36. Let j(y) = -9*b(y) + 2*s(y). Solve j(v) = 0.
-4, 0
Let u(k) be the first derivative of k**4/34 + 40*k**3/17 + 900*k**2/17 + 2612. Factor u(i).
2*i*(i + 30)**2/17
Let q(z) = 253*z**3 - 51*z**2 - 280*z - 3. Let n(v) = -4*v**3 - 5*v**2 + v - 1. Let d(f) = 18*n(f) - 2*q(f). Factor d(k).
-2*(k - 1)*(k + 1)*(289*k - 6)
Suppose -885*v + 3823*v**3 - 1905*v**3 - 265*v**2 - 1933*v**3 + 325 = 0. Calculate v.
-13, -5, 1/3
Let g(r) be the third derivative of -r**8/168 - 2*r**7/15 - 3*r**6/20 + 54*r**5/5 - 3*r**2 + 641*r. Factor g(u).
-2*u**2*(u - 4)*(u + 9)**2
Let j(i) be the first derivative of -7*i**5/270 - 131*i**4/108 + 38*i**3/27 - 78*i**2 - 70. Let y(k) be the second derivative of j(k). Solve y(f) = 0 for f.
-19, 2/7
Let i(p) = 613*p + 9812. Let q be i(-16). Let v = -8 + 11. Let -16/5*u + 8/5 - 6/5*u**2 - 4/5*u**q + 14/5*u**v = 0. Calculate u.
-1, 1/2, 2
Let c(o) be the third derivative of -o**8/336 + o**7/105 - o**6/120 + 19*o**2 + 1. Factor c(g).
-g**3*(g - 1)**2
Let j be 4/((-2)/(-8)*(-56)/(-7)). Suppose -105*b**3 + 61*b**3 - 24*b**j + 42*b + 40 - 16*b**2 + 4*b**5 - 2*b**5 = 0. Calculate b.
-4, -1, 1, 5
Let k be (135/(-6))/((-30)/(-420)*-35). Let -10*q**2 + 0 - 7/2*q**4 + 1/2*q**5 + k*q**3 + 4*q = 0. What is q?
0, 1, 2
Suppose -27*x - 3/5*x**3 + 48/5*x**2 - 486/5 = 0. Calculate x.
-2, 9
Let t(m) be the third derivative of m**7/105 + 2*m**6/15 + 2*m**5/3 + 4*m**4/3 + m**2 + 148*m - 4. Factor t(d).
2*d*(d + 2)**2*(d + 4)
Let z be (2/40)/(900/240). Let a(t) be the third derivative of -z*t**5 + 0 + 5*t**2 + 0*t**4 - 1/300*t**6 + 0*t**3 + 1/525*t**7 + 0*t. Factor a(q).
2*q**2*(q - 2)*(q + 1)/5
Suppose -2*q + 10 = 4*j, 3*j = 5*q + 40 - 26. Let 7*p - 288*p**3 - 39*p + 286*p**j - 16*p**2 = 0. Calculate p.
-4, 0
Factor -234*j**2 - 24*j + 7*j**4 + 85272*j**3 + 92*j + 9*j**4 - 85116*j**3 - 6*j**4.
2*j*(j - 1)*(j + 17)*(5*j - 2)
Let l(m) be the second derivative of 138 + 1/40*m**5 + m -