 second derivative of -1/20*r**5 - 1/30*r**6 + 1/6*r**k + 1/12*r**4 - r + 0 + 0*r**2. Suppose d(a) = 0. What is a?
-1, 0, 1
Let c be 203/63 - (-4)/(-18). What is v in -5*v**2 + c*v**4 - 12*v - v**4 - 17*v**2 + 8*v**4 + 24*v**3 = 0?
-3, -2/5, 0, 1
Let j(r) = 4*r. Let f be j(1). Suppose 0 = -f*l + 52 + 4. Solve 26*k**3 + 4*k - 8*k**3 + 2*k**5 - 4*k**4 - 6*k**4 - l*k**2 = 0.
0, 1, 2
Let i(d) be the third derivative of d**8/112 + 3*d**7/35 + 13*d**6/40 + 3*d**5/5 + d**4/2 + 48*d**2. Factor i(f).
3*f*(f + 1)**2*(f + 2)**2
Find w, given that -14/17*w**5 + 24/17*w**2 + 0 + 22/17*w**3 - 8/17*w - 24/17*w**4 = 0.
-2, -1, 0, 2/7, 1
Let q be (-25)/(-2) - (-1)/(-2). Factor 5*w**2 + 2*w + 7*w**2 - 11*w**3 - q - 6*w + 15*w**3.
4*(w - 1)*(w + 1)*(w + 3)
Let u be 0/44 - (-6)/2. Factor 0 + 1/4*c - 1/2*c**u + 0*c**2 + 0*c**4 + 1/4*c**5.
c*(c - 1)**2*(c + 1)**2/4
Let r = -4951 + 9905/2. Factor -7/2*v**2 - 5/2*v - r*v**3 - 1/2.
-(v + 1)**2*(3*v + 1)/2
Let a(f) be the second derivative of f**10/90720 - f**8/20160 - 2*f**4/3 + 8*f. Let u(s) be the third derivative of a(s). Find r such that u(r) = 0.
-1, 0, 1
Factor -64/3*p**3 + 376/3*p**2 + 4/3*p**4 - 320*p + 300.
4*(p - 5)**2*(p - 3)**2/3
Let s(a) be the first derivative of 2/3*a + 1/4*a**2 - 1/18*a**3 - 17. Suppose s(o) = 0. Calculate o.
-1, 4
Let c(r) = 2*r**3 + r**2 + r - 1. Let j(h) = -28*h**3 - 444*h**2 - 15564*h - 186612. Let q(f) = 12*c(f) + j(f). Determine z, given that q(z) = 0.
-36
Let f be 2/(-5) - (-110)/150. Let y(a) be the third derivative of 1/80*a**6 + 0 - 1/120*a**5 - 5*a**2 + 0*a - 1/4*a**4 + f*a**3. Factor y(q).
(q - 2)*(q + 2)*(3*q - 1)/2
Let d = 207 - 204. Let k(s) be the first derivative of 0*s - s**d + 0*s**2 + 4 - 3/4*s**4. Find i such that k(i) = 0.
-1, 0
Suppose 0 = 11*n - 25*n + 560. Suppose -n = -10*z - 0*z. Find i such that i - 6/5*i**2 + 3/5*i**3 - 1/10*i**z - 3/10 = 0.
1, 3
Let c(v) be the second derivative of -18*v + 0 + 1/8*v**4 + 0*v**2 - 1/4*v**3. What is o in c(o) = 0?
0, 1
Let b = 38 - 42. Let i be (2 + b)*(-12)/8. Suppose -4/3*w + 10/3*w**2 + 0 - 2*w**i = 0. Calculate w.
0, 2/3, 1
Suppose -12 = 14*g - 124. Suppose 2*l + 3*c = -g, 7 - 11 = 4*l + 3*c. Determine b, given that 1/5*b**4 - 1/5*b**3 + 0 + 1/5*b**5 + 0*b - 1/5*b**l = 0.
-1, 0, 1
Let x(i) be the first derivative of i**4/7 + 22*i**3/3 - 291*i**2/7 + 36*i + 103. Factor x(s).
2*(s - 3)*(s + 42)*(2*s - 1)/7
Let p(m) be the first derivative of -3*m**5/5 - 3*m**3 + 6*m**2 + 6*m - 16. Let b(r) = r**4 - r - 1. Let c(v) = 6*b(v) + p(v). Factor c(s).
3*s*(s - 1)**2*(s + 2)
Let c be -3 - 0/(-2) - (69 + -75). Let j(q) be the first derivative of 2*q**c - 3 - 8*q + 0*q**2 - 1/2*q**4. Factor j(s).
-2*(s - 2)**2*(s + 1)
Factor 0*l**3 + l**2 + 22*l - 20*l - l**3 + 0*l**2.
-l*(l - 2)*(l + 1)
Factor 9/4*k + 5 + 1/4*k**2.
(k + 4)*(k + 5)/4
Factor 549*i - 500*i + 16 - i**2 - 76 - 58 + 24.
-(i - 47)*(i - 2)
Suppose 28/3*a + 2/3*a**2 - 10 = 0. What is a?
-15, 1
Let h(t) be the first derivative of -4*t**3/3 - 74*t**2/3 + 104*t/3 - 121. Suppose h(s) = 0. Calculate s.
-13, 2/3
Let f(a) = a**2 + 21*a - 14. Let q(l) = -1. Let s(w) = -3*f(w) - 24*q(w). Factor s(v).
-3*(v - 1)*(v + 22)
Suppose 0 = -29*k + 14*k + 14*k + 2. Solve -6/13*x + 2/13*x**k + 4/13 = 0.
1, 2
Let a be (1026/1425)/((-2)/(-5)). Determine v, given that -1/5*v**2 - a - 6/5*v = 0.
-3
Let o = 19 - 13. Let m(q) = -q**3 + 5*q**2 + 5*q + 14. Let s be m(o). Suppose s*p - 27*p**2 - 6 - 10*p - 19*p - 3*p**4 - 15*p**3 = 0. What is p?
-2, -1
Let t = -28360 - -28362. Factor -2/5*s + 9/10*s**t + 3/5*s**3 - 6/5 + 1/10*s**4.
(s - 1)*(s + 2)**2*(s + 3)/10
Let n be 1 - 48/(-9) - (-18)/27. Suppose -5*f = d - 17, 9 = 2*f + 5*d - n. Factor -2/9*z - 2/9*z**2 + 2/9*z**4 + 2/9*z**f + 0.
2*z*(z - 1)*(z + 1)**2/9
Suppose f - 4*x + 20 - 2 = 0, 3*x = 15. Suppose -f*d - 10*d = -7*d. Factor 2/3*z**3 - 4/3*z + d - 2/3*z**2.
2*z*(z - 2)*(z + 1)/3
Let l be (1/(-19) + 0)*(-3 - -2). Let u = 14/95 + l. Suppose -1/5*r**3 + u*r + 0*r**2 + 0 = 0. Calculate r.
-1, 0, 1
Let v(k) be the first derivative of -1 + 0*k**5 - 1/42*k**4 + 1/210*k**6 + 0*k**3 + 5*k**2 + 0*k. Let y(t) be the second derivative of v(t). Factor y(m).
4*m*(m - 1)*(m + 1)/7
Let n(o) = -11*o**3 - 99*o**2 + 8*o + 42. Let t(r) = -12*r**3 - 99*r**2 + 10*r + 41. Let f(c) = -3*n(c) + 2*t(c). Find l, given that f(l) = 0.
-11, -2/3, 2/3
Let k(h) be the second derivative of -h**5/5 - 19*h**4/12 - 19*h**3/6 + 3*h**2 + 26*h. Factor k(y).
-(y + 2)*(y + 3)*(4*y - 1)
Suppose -x - 2*c - 7 = 0, 14 - 5 = -3*x - 3*c. Suppose -5*u = -24 - x. Factor 2*a**4 - 4*a + 4*a**3 + 5 - 2*a**2 - u.
2*a*(a - 1)*(a + 1)*(a + 2)
Determine j, given that -12/7*j + 3/7*j**4 - 1/7*j**3 + 0 - 20/7*j**2 = 0.
-2, -2/3, 0, 3
Let h(r) = 2*r + 25. Let c be h(-11). Factor u**3 - u - 4*u**3 + 4*u**c.
u*(u - 1)*(u + 1)
Let k be (-176)/(-476) + 130/2210. Factor 15/7 - 12/7*d - 18/7*d**2 + k*d**4 + 12/7*d**3.
3*(d - 1)**2*(d + 1)*(d + 5)/7
Let u(t) be the first derivative of -t**6/585 + t**5/780 - 9*t**3 - 22. Let y(n) be the third derivative of u(n). Determine a so that y(a) = 0.
0, 1/4
Let a(p) be the second derivative of 0 - 5/28*p**4 + 0*p**2 + 24*p + 1/7*p**3. Factor a(c).
-3*c*(5*c - 2)/7
Let t(v) be the first derivative of -4*v**3/3 + 35*v**2/2 - 67*v + 14. Let i(c) = -4*c**2 + 34*c - 66. Let j(f) = 3*i(f) - 2*t(f). Factor j(r).
-4*(r - 4)**2
Let r(u) = -u - 6. Let w be r(1). Let g be 1*(5 + w + 4). Factor 5/2*d - 5/2*d**3 - 1/2 + 1/2*d**g.
-(d - 1)*(d + 1)*(5*d - 1)/2
Suppose 5*a = 60 + 65. Let y be a/10 - (-1)/(-2). Factor 2*w**2 + 6*w**4 - 3*w**2 + w**y + 3*w**3 + 3*w**5.
3*w**3*(w + 1)**2
Let j(s) be the third derivative of -4/165*s**5 + 1/44*s**4 - 1/30*s**6 - 6/385*s**7 + 0 + 2/33*s**3 - 5/1848*s**8 - 2*s**2 + 0*s. Find b such that j(b) = 0.
-1, 2/5
Let m(x) be the third derivative of -4*x**7/105 - 17*x**6/30 + 7*x**5 - 76*x**4/3 + 104*x**3/3 + 303*x**2. Find f, given that m(f) = 0.
-13, 1/2, 2
Let q = -55829/13 - -4295. Let 0*u**2 - q*u + 4/13 + 2/13*u**3 = 0. What is u?
-2, 1
Suppose -39*w = -34*w - 25. Suppose -2*c + 4 = -4*g, 2*c + 0*c = -w*g + 13. Solve 1/8*i**3 + 0 + 0*i - 1/8*i**c + 0*i**2 - 1/4*i**5 = 0.
-1, 0, 1/2
Let d be (2/(-8))/(((-11)/4)/11). Let j be (d + 33/(-6) + 4)*0. Factor 0*f**3 - 4/5*f**4 - 2/5*f**5 + j*f**2 + 0 + 0*f.
-2*f**4*(f + 2)/5
Let b(f) = 2*f**2 - 49*f - 25. Let x be b(25). Let u(w) be the first derivative of x*w - 1/14*w**4 - 2/21*w**3 + 6 + 0*w**2. Factor u(k).
-2*k**2*(k + 1)/7
Let j be (-3)/(-4)*4*(-1 + 2). Factor -4*m + 2*m**3 + 2*m**4 + 0*m**3 - 2 + m**5 - 8*m**2 - 3*m - 4*m**j.
(m - 2)*(m + 1)**4
Find b, given that 31/2*b**2 - 3*b + 0 + 29/2*b**3 + 3*b**4 = 0.
-3, -2, 0, 1/6
Let d(j) be the first derivative of 1/5*j**5 + 0*j + 0*j**2 - j**4 + j**3 - 22. Let d(s) = 0. Calculate s.
0, 1, 3
Let u = -37 - -40. Determine l so that -u + 4 - 2*l**2 - 2*l**4 + 9*l**3 - l + 3*l**4 - l**5 - 7*l**3 = 0.
-1, 1
Factor 0*l**3 + 0*l + 1/5*l**2 + 0 - 1/5*l**4.
-l**2*(l - 1)*(l + 1)/5
Find h, given that -1/8*h**2 - 1089/2 - 33/2*h = 0.
-66
Let r = 2722/177 + 76/59. Factor -4/3 - 18*t - r*t**2.
-2*(t + 1)*(25*t + 2)/3
Let s be (24 - 1) + -1 + -1. Let n = s + -16. Let n + 4 - r**2 - 2 - 4 + 2*r = 0. What is r?
-1, 3
Determine q, given that 36/7 - 3/7*q**2 + 12/7*q = 0.
-2, 6
Factor 132*z + 103*z + 4*z**2 - 3*z**3 - 2*z**3 - 187*z + z**3.
-4*z*(z - 4)*(z + 3)
Find c, given that 2*c**5 + 56*c**4 - 2*c**3 - 56*c**2 - 5819*c + 5819*c = 0.
-28, -1, 0, 1
Factor -196*a**3 - 156*a + 191*a**3 + 85*a**2 - 44*a - 1500.
-5*(a - 10)**2*(a + 3)
Let x = 8653 - 8651. Solve 0*v**3 - 2/5*v**x + 1/5*v**5 + 2/5*v**4 + 0 - 1/5*v = 0 for v.
-1, 0, 1
Factor 64*z + 2 - 4 - 2 - 69*z + 0 - z**2.
-(z + 1)*(z + 4)
Suppose -16*t = 5 + 11. Let b(v) = v**3 + v - 1. Let m(w) = 3*w**5 - 24*w**4 + 61*w**3 - 48*w**2 + w - 1. Let o(y) = t*b(y) + m(y). Factor o(j).
3*j**2*(j - 4)*(j - 2)**2
Factor -l**2 + 84*l - 5*l**2 + 16 + 72 + 2*l**2.
-4*(l - 22)*(l + 1)
Let k(z) be the third derivative of 5*z**8/84 - 25*z**7/42 + 9*z**6/4 - 13*z**5/3 + 55*z**4/12 - 5*z**3/2 + z**2 - 5*z. Find m such that k(m) = 0.
1/4, 1, 3
Let u(o) be the second derivative of -5*o**4/14 - 13*o**3/21 + 2*o**2/7 + 30*o. Solve u(s) = 0.
-1, 2/15
Let d(c) be the third derivative of -7*c**8/96 - 3*c**7/10 - 109*c**6/240 - 3*c**5/1