 the third derivative of -o**7/147 - 2*o**6/105 + 13*o**5/70 - 17*o**4/42 + 8*o**3/21 + 8*o**2 - 2. Let a(c) = 0. What is c?
-4, 2/5, 1
Suppose -10 = 1533*v - 1538*v. Let j(i) be the first derivative of 1/16*i**4 + 0*i**3 - 7 + 0*i - 1/8*i**v. Let j(p) = 0. Calculate p.
-1, 0, 1
Let h(y) be the first derivative of 3*y**5/5 + 3*y**4/4 - 3*y**3 - 3*y**2/2 + 6*y - 284. Find p such that h(p) = 0.
-2, -1, 1
Let j(o) be the third derivative of -1/156*o**6 - 31/390*o**5 - 17/52*o**4 + 0*o + 18*o**2 + 0 - 3/13*o**3. Factor j(z).
-2*(z + 3)**2*(5*z + 1)/13
Let u(n) be the third derivative of n**5/45 - 13*n**4/18 + 44*n**3/9 + 66*n**2. Factor u(t).
4*(t - 11)*(t - 2)/3
Suppose 4*z - 11*z = -28. Suppose z*y + 4*y = 0. What is j in 2/3*j**2 - 2/3*j + y = 0?
0, 1
Factor 6/7 + 20/7*g**2 + 19/7*g - 1/7*g**5 - 2/7*g**4 + 6/7*g**3.
-(g - 3)*(g + 1)**3*(g + 2)/7
Let g(w) be the third derivative of w**6/24 - w**5/12 - 5*w**4/3 + 10*w**3 - 71*w**2 + 1. Determine d, given that g(d) = 0.
-3, 2
Let k(v) be the first derivative of -7 + 0*v**2 + 0*v + 1/14*v**4 + 0*v**3 - 2/35*v**5. Determine a, given that k(a) = 0.
0, 1
Let p(n) be the first derivative of -n**5/50 + n**4/5 - 3*n**3/5 + 11*n - 14. Let k(u) be the first derivative of p(u). Find c, given that k(c) = 0.
0, 3
Suppose 0 = 5*l + 20, 0*l - 36 = -5*v + 4*l. Let b(h) = -h**3 + 3*h**2 + 3*h + 6. Let n be b(v). Solve 2/15*o + 0 + 0*o**n - 2/15*o**3 = 0.
-1, 0, 1
Let g(m) be the first derivative of 56*m**6/5 + 1752*m**5/25 + 1509*m**4/20 - 656*m**3/5 + 117*m**2/2 - 54*m/5 + 18. Solve g(l) = 0 for l.
-3, 1/4, 2/7
Let z(i) be the second derivative of -5*i**9/1512 + i**8/336 + i**7/168 + 23*i**3/6 + 27*i. Let o(b) be the second derivative of z(b). Let o(r) = 0. What is r?
-1/2, 0, 1
Suppose -375*l + 26 = -362*l. Suppose l*k**2 + 10/3*k - 2/3*k**3 - 2/3*k**4 + 4/3 = 0. Calculate k.
-1, 2
Let n = 1/2 + 7/10. Let b be ((36/7)/9)/(300/630). Let n*p**2 + 2/5*p**3 + 2/5 + b*p = 0. What is p?
-1
Let w(x) be the third derivative of -1/280*x**8 - 1/60*x**4 + 1/25*x**5 + 0 + 0*x + 0*x**3 - 1/25*x**6 + 2/105*x**7 - 4*x**2. Factor w(v).
-2*v*(v - 1)**3*(3*v - 1)/5
Suppose -955713*i**2 + 61*i + 955758*i**2 + 107*i + 3*i**3 = 0. Calculate i.
-8, -7, 0
Let l be 17/((-221)/39)*2/(-3). Let w(n) be the third derivative of 0*n - 1/30*n**5 + 1/60*n**6 + 0*n**3 + 0 + 1/36*n**4 - 1/315*n**7 - 6*n**l. Factor w(f).
-2*f*(f - 1)**3/3
Let i(r) be the third derivative of -r**8/6720 + r**7/280 + r**6/72 - 2*r**4 - 7*r**2. Let l(t) be the second derivative of i(t). Let l(b) = 0. What is b?
-1, 0, 10
Let c(v) be the third derivative of 11*v**8/20160 - v**7/560 - v**6/360 + v**5/60 + 4*v**2. Let m(u) be the third derivative of c(u). Factor m(o).
(o - 1)*(11*o + 2)
Let s(g) = 16*g**3 - 39*g**2 + 13*g + 31. Suppose -5*d + 5 + 5 = 0. Let p(q) = 5*q**3 - 13*q**2 + 4*q + 10. Let c(m) = d*s(m) - 7*p(m). Factor c(o).
-(o - 4)*(o - 1)*(3*o + 2)
Let l(c) = c**3 - c**2 + c - 1. Let x(f) = -4*f - 3. Let w be x(3). Let d(g) = -20*g**3 + 40*g**2 - 55*g + 35. Let q(m) = w*l(m) - d(m). What is v in q(v) = 0?
1, 2
Suppose -2*w - 18 = -2*n, 2*n = -0*n - 2*w + 10. Suppose -n*o**4 + 12*o**2 - 4*o**3 - 3*o**5 - 5*o**4 + 7*o**5 = 0. What is o?
-1, 0, 1, 3
Let k(h) be the second derivative of -2*h**6/15 - h**5/5 + h**4 + 2*h**3/3 - 4*h**2 + 25*h + 2. Solve k(p) = 0.
-2, -1, 1
Factor -57*a**2 - 56*a**2 + 300 + 106*a + 165*a**2 - 50*a**2.
2*(a + 3)*(a + 50)
Suppose -198 = 3*z + n - 3*n, -121 = 2*z - 5*n. Let j = z + 72. Suppose -1/4*x + 0 + 1/4*x**2 + 1/4*x**3 - 1/4*x**j = 0. Calculate x.
-1, 0, 1
Let n be 2 + -6 + (-44)/(-15). Let f = -2/3 - n. Solve -2/5 - f*i**4 + 8/5*i + 8/5*i**3 - 12/5*i**2 = 0.
1
Let z(q) be the second derivative of q**5/5 + 11*q**4/3 + 76*q**3/3 + 80*q**2 + 240*q. Factor z(p).
4*(p + 2)*(p + 4)*(p + 5)
Let c(t) be the first derivative of -t**4/2 + 592*t**3/9 - 589*t**2/9 + 196*t/9 + 680. Factor c(p).
-2*(p - 98)*(3*p - 1)**2/9
Let x(j) be the third derivative of -j**5/75 + j**4/10 + 4*j**3/3 - 3*j**2 + 32. Suppose x(f) = 0. What is f?
-2, 5
Suppose -14*a - 6*a + 180 = 0. Suppose -6*c + a = -3*c. Determine g, given that -2/3 - 2*g**2 + 2/3*g**c + 2*g = 0.
1
Let p(o) be the first derivative of -4*o**2 + 0*o - 7 - 4*o**3 + 1/2*o**4 + 3/5*o**5. Find d, given that p(d) = 0.
-2, -2/3, 0, 2
Let t(p) be the third derivative of 0 + 34*p**2 + 0*p**4 + 0*p - 1/40*p**5 + 0*p**3. Factor t(v).
-3*v**2/2
Let z(u) = -8*u**2 + 2*u + 3. Let m be z(-1). Let b = m - -9. Suppose -3/5 + 9/5*a + 3/5*a**3 - 9/5*a**b = 0. What is a?
1
Let g(s) be the first derivative of 16*s**3/3 - 168*s**2 + 1764*s - 32. Factor g(w).
4*(2*w - 21)**2
Factor 48/5 + 28/3*h**2 - 286/15*h + 2/15*h**3.
2*(h - 1)**2*(h + 72)/15
Let d = 507/164 - 151/82. Factor d*q**3 - 5/2 - 15/4*q + 0*q**2.
5*(q - 2)*(q + 1)**2/4
Let v = -11 - -20. Let w = v - 7. Factor 16/5 - 2/5*d**3 + 12/5*d**w - 24/5*d.
-2*(d - 2)**3/5
Suppose 189*c = 196*c - 28. Let g = c + -5/2. Factor g*n + 3/4*n**2 + 0.
3*n*(n + 2)/4
Let f be 2/6*(32 - 11). Suppose -p - 1 = -4*q, 3*q + 2*p + 2 = f*q. Factor -t**2 - t + 181*t**3 + 1 - 180*t**3 + q.
(t - 1)**2*(t + 1)
Let z be (-3 - -1 - -1)*0. Let s(a) be the third derivative of -2*a**2 + 1/120*a**6 + 0*a + 0*a**4 + z + 1/420*a**7 + 0*a**3 + 1/120*a**5. Factor s(t).
t**2*(t + 1)**2/2
Suppose 5*l - w + 0*w - 17 = 0, -5*w = -l + 13. Factor -2*u**4 + u**4 + u**4 + 10*u**l - 5*u**5 - 5*u.
-5*u*(u - 1)**2*(u + 1)**2
Let h(f) be the second derivative of -3*f**5/70 + 3*f**4/4 + 6*f**3/7 - 33*f**2/14 - 12*f - 1. Let h(i) = 0. Calculate i.
-1, 1/2, 11
Let v be (-2)/12*-16*6. Find j such that -v*j**2 + 10*j**4 - 10*j**4 - 44*j + 4*j**4 + 24*j**3 - 4*j**5 + 12*j = 0.
-2, -1, 0, 2
Suppose -2*k - u - 4 = 4*u, 0 = 4*k - 3*u - 18. Factor 12*s - k*s**2 - 2*s**5 - 4*s**4 - 10*s + 7*s**2 + 0*s**5.
-2*s*(s - 1)*(s + 1)**3
Let x(f) be the first derivative of -f**5/60 - f**4/36 + f**3/9 - 7*f + 19. Let z(r) be the first derivative of x(r). Factor z(m).
-m*(m - 1)*(m + 2)/3
Factor 27/4*p**2 + 0 + 15/4*p - 3/4*p**4 + 9/4*p**3.
-3*p*(p - 5)*(p + 1)**2/4
Let c(j) be the third derivative of -j**7/105 + j**5/30 - 6*j**2 + 1. Solve c(u) = 0 for u.
-1, 0, 1
Suppose -3*a - 2*a + 110 = 0. Determine z, given that 16*z - a*z - 35*z**2 - 24*z = 0.
-6/7, 0
Let u(q) = 5*q**3 + 4*q**2 - 68*q - 84. Let k(a) = -5*a**3 - 5*a**2 + 70*a + 85. Let d(h) = 4*k(h) + 5*u(h). Factor d(f).
5*(f - 4)*(f + 2)**2
Let o(a) be the third derivative of -4*a**7/105 + a**6/40 + 2*a**5/15 - a**4/8 - 6*a**2 + 15. Factor o(t).
-t*(t - 1)*(t + 1)*(8*t - 3)
Let p = 47 + -45. Let 0 - 14*r**p - 11*r + 5*r - 2 - 10*r = 0. Calculate r.
-1, -1/7
Suppose 360 = -480*b + 498*b. Factor -180*c**2 - 1080 - b*c**3 - 5/6*c**4 - 720*c.
-5*(c + 6)**4/6
Let y be 324/297 + 0 + 0. Factor y - 10/11*a + 2/11*a**2.
2*(a - 3)*(a - 2)/11
Let b(z) be the first derivative of z**6/2 + 3*z**5 - 99*z**4/4 - 193*z**3 - 120*z**2 + 900*z - 105. Solve b(w) = 0.
-5, -2, 1, 6
Let w(j) be the first derivative of -8/3*j + 18 - 2*j**3 + 7/12*j**4 + 10/3*j**2 - 1/15*j**5. Solve w(o) = 0 for o.
1, 2
Let a(t) be the first derivative of -2/15*t**3 + 4 - 2/5*t**2 - 2/5*t. Factor a(m).
-2*(m + 1)**2/5
Let m be (350/245)/((-7)/((-245)/30)). Let n = -2 + 2. Factor -m*k**3 + n + 0*k**2 + 5/3*k.
-5*k*(k - 1)*(k + 1)/3
Let m(t) = -t**2 + t - 2. Let l(f) = -2*f**2 + 2*f - 3. Let p = -12 - -8. Let b be 20/8 - 2/p. Let n(s) = b*m(s) - 2*l(s). Factor n(v).
v*(v - 1)
Let a(i) be the first derivative of -3*i**4/10 + 56*i**3/15 - 253*i**2/15 + 484*i/15 + 10. Let a(l) = 0. What is l?
2, 11/3
Let r(c) = -c**3 - 22*c**2 - 21*c + 1. Let d be r(-21). Suppose 4*k - 5*m = d, 15 = -0*k + 3*k + m. Factor -3/7*w**k - 1/7*w**5 + 0 + 0*w - 3/7*w**3 - 1/7*w**2.
-w**2*(w + 1)**3/7
Suppose -4*y + 4*q + 27 = -q, 0 = -5*y - 5*q. Let 2*x**y - 7 - x**4 + 7 = 0. What is x?
0, 2
Let k = -77 - -117. Suppose 22*c = k + 26. Solve 5/2*q**c + 1 - q**2 - 5/2*q = 0.
-1, 2/5, 1
Suppose -2*y + 6*y - 72 = -4*d, 0 = -5*y - d + 94. Let l be 8/28 + y/7. Factor a**l - a**3 + 68*a**4 - 67*a**4.
a**4
Let x be (588/(-70))/(2/10). Let d be (x/105)/(16/(-30)). Factor 3/4*r + 0 - d*r**3 + 0*r**2.
-3*r*(r - 1)*(r + 1)/4
Let t(j) = j**3 + j**2 + j - 1. Let u be t(1). What is q in -118*q + 2 + q**u + 114*q - 5 - 2*q**2 = 0?
-3, -1
Let w be