of a(p). Find g such that y(g) = 0.
1, 2
Let d(u) be the third derivative of -u**8/336 + 2*u**7/35 - u**6/6 - u**5/30 + 7*u**4/8 - 5*u**3/3 + 175*u**2. Find s, given that d(s) = 0.
-1, 1, 10
Let y(a) be the second derivative of 1/27*a**3 + 0*a**4 - 1/90*a**5 + 0*a**2 + 0 - 13*a. Solve y(o) = 0 for o.
-1, 0, 1
Suppose 0 = 7*y - 29 + 1. Factor 3*m**3 + 5*m**2 - m**3 + 60*m**4 - 6*m - 61*m**y.
-m*(m - 3)*(m - 1)*(m + 2)
Let a = 23/147 - -1/98. Let f be 2 - (-18 + 23 + (-5)/1). Solve 0*s - 1/6*s**3 + a*s**f + 0 = 0 for s.
0, 1
Solve -55/4*b + 26*b**2 + 7/4 + 4*b**3 = 0 for b.
-7, 1/4
Let c(o) be the second derivative of 1/15*o**3 + 1/60*o**4 + 0 + 3*o - 1/100*o**5 + 0*o**2. Let c(u) = 0. What is u?
-1, 0, 2
Let g(k) = 2*k + 13. Let n(m) = m + 13. Let r(c) = 2*g(c) - 3*n(c). Let a be r(15). Determine b, given that 2/11*b + 2/11*b**3 + 0 - 4/11*b**a = 0.
0, 1
Suppose -4*m = 20, 5*m - 3*m + 18 = 4*x. Suppose 6*z - 2 + x = 0. Factor 2/11*t**2 - 2/11*t**5 + 2/11*t**3 + 0*t - 2/11*t**4 + z.
-2*t**2*(t - 1)*(t + 1)**2/11
Factor -256/9*f**2 + 0 + 512/9*f - 2/9*f**4 + 40/9*f**3.
-2*f*(f - 8)**2*(f - 4)/9
Let j(l) be the third derivative of l**5/240 + 13*l**4/96 + 7*l**3/4 - 16*l**2 - 7. Factor j(i).
(i + 6)*(i + 7)/4
Let u(z) be the third derivative of -z**6/240 + 7*z**4/48 + z**3/2 + 143*z**2. Factor u(m).
-(m - 3)*(m + 1)*(m + 2)/2
Let c(z) = z**4 - z**3 + z**2 + z - 1. Let y(h) = 2*h**4 + 173*h**3 - 8*h**2 - 173*h + 3. Let t(g) = -3*c(g) - y(g). What is v in t(v) = 0?
-34, -1, 0, 1
Let m(x) be the second derivative of -2*x**4/3 + 65*x**3/3 - 16*x**2 - 44*x. Factor m(n).
-2*(n - 16)*(4*n - 1)
Factor 236*l**3 + 107*l - 27*l - 241*l**3.
-5*l*(l - 4)*(l + 4)
Let t(n) be the first derivative of 2*n**5/5 - 7*n**4/4 - 14*n**3 - 47*n**2/2 - 14*n + 310. Determine f, given that t(f) = 0.
-2, -1, -1/2, 7
What is o in -20/21 + 2/3*o**3 + 2/21*o**4 - 2/3*o + 6/7*o**2 = 0?
-5, -2, -1, 1
Let l = 128 + -122. Factor m**3 - 4*m**3 + 3*m**2 - l*m + 5*m + m**4.
m*(m - 1)**3
Let d(g) be the first derivative of -g**4 + 8*g**3/3 + 2*g**2 - 8*g - 151. Factor d(n).
-4*(n - 2)*(n - 1)*(n + 1)
Suppose -27*r**2 + 2*r - 48*r**4 - 63*r**3 + 10*r**3 - 5*r - 19*r**3 = 0. What is r?
-1, -1/4, 0
Let f = -5653 - -5655. Factor o - 1/7*o**f + 0.
-o*(o - 7)/7
Let o(d) be the third derivative of -1/39*d**3 - 1/195*d**5 + 0 + 1/455*d**7 + 1/390*d**6 - 1/52*d**4 + 0*d + 1/2184*d**8 + 12*d**2. Factor o(f).
2*(f - 1)*(f + 1)**4/13
Let f = -786 + 791. Let i(r) be the third derivative of 5/24*r**4 - 1/24*r**6 + f*r**2 + 5/6*r**3 + 0 - 1/12*r**5 + 0*r. Determine u so that i(u) = 0.
-1, 1
Factor -14/11*d**2 - 1/11*d**3 + 0 - 49/11*d.
-d*(d + 7)**2/11
Find f such that 2*f**4 - 4*f**4 - 3*f**4 - 10*f**2 + 15*f**3 = 0.
0, 1, 2
Let q(m) be the third derivative of -1/225*m**5 + 0*m + 1/525*m**7 - 10*m**2 + 0 + 1/2520*m**8 - 1/60*m**4 - 1/45*m**3 + 1/450*m**6. Factor q(p).
2*(p - 1)*(p + 1)**4/15
Let n be 12/42 + (-90)/21. Let j(y) = 0*y**3 - 5*y**3 + 3 - 7 - 3*y. Let t(c) = -11*c**3 - 7*c - 9. Let m(z) = n*t(z) + 9*j(z). Factor m(h).
-h*(h - 1)*(h + 1)
Suppose 2*v + 3 = -o + 8, 2*v - o = 7. Let -38/5*r**v - 14/5*r**4 + 56/5*r - 16/5 + 12/5*r**2 = 0. Calculate r.
-2, 2/7, 1
Factor -13*l + 7*l + 2*l**2 + 5844 - 30*l + 2*l**2 - 5788.
4*(l - 7)*(l - 2)
Let x(t) = -3*t**3 + 75*t**2 - 50*t - 22. Let h(w) = -w**3 + 15*w**2 - 10*w - 4. Let o(g) = -11*h(g) + 2*x(g). Factor o(k).
5*k*(k - 2)*(k - 1)
Let p(i) be the first derivative of 4 + 0*i + 147/10*i**2 - 14/5*i**3 + 3/20*i**4. Determine y so that p(y) = 0.
0, 7
Let a(g) be the second derivative of -3*g**5/160 - 171*g**4/32 - 9747*g**3/16 - 555579*g**2/16 + 91*g. Determine r so that a(r) = 0.
-57
Let z(c) = -14*c - 2. Let b be z(-1). Factor -b*a**2 + 3*a - 16*a**3 + 0*a**3 + a.
-4*a*(a + 1)*(4*a - 1)
Let p be -4 + (-1130)/35 - 2/(-7). Let u = -34 - p. Factor -1/3*z**3 + 0*z**u + z + 2/3.
-(z - 2)*(z + 1)**2/3
Let j(v) be the second derivative of -2/33*v**3 + 14*v + 1/15*v**6 + 0 + 0*v**2 - 1/77*v**7 + 3/22*v**4 - 3/22*v**5. Determine y so that j(y) = 0.
0, 2/3, 1
Let k(p) be the first derivative of 0*p + 4/3*p**3 + 1/1260*p**6 + 1/210*p**5 - 1/28*p**4 + 0*p**2 - 10. Let h(m) be the third derivative of k(m). Factor h(q).
2*(q - 1)*(q + 3)/7
Let j(l) be the first derivative of l**4/36 - l**3/18 - l - 11. Let r(i) be the first derivative of j(i). Factor r(k).
k*(k - 1)/3
Let t(f) be the third derivative of f**8/17920 - f**7/1120 + f**6/384 - 13*f**4/12 - 25*f**2. Let w(u) be the second derivative of t(u). Factor w(d).
3*d*(d - 5)*(d - 1)/8
Suppose -2*q + 29 = 2*q - 5*f, -3*q + 2*f = -13. Let j be q + (-156)/(-60) + 2/5. Determine v, given that 1 + 3/2*v**3 - 1/2*v**2 - 3/2*v - 1/2*v**j = 0.
-1, 1, 2
Let v(j) = 5*j**3 - 3*j**2 - 3*j. Suppose 2*n - 14 = 36. Let u(l) = 40*l**3 - 25*l**2 - 25*l. Let t(m) = n*v(m) - 3*u(m). Suppose t(z) = 0. What is z?
0
Let t(j) = -j**2 + j + 34. Let l be t(6). Let a be ((-3)/(-5 + l))/((-9)/(-12)). Find c such that -2/11*c**a + 2/11 + 4/11*c - 4/11*c**3 + 0*c**2 = 0.
-1, 1
Let a(p) = -72*p**4 + 261*p**3 + 1008*p**2 + 957*p + 285. Let q(d) = -71*d**4 + 263*d**3 + 1010*d**2 + 956*d + 284. Let i(y) = -4*a(y) + 3*q(y). Factor i(x).
3*(x - 6)*(x + 1)*(5*x + 4)**2
Let d(m) = m**2 + 50*m - 396. Let x be d(7). Let l = -85 + 511/6. Suppose 1/3*i**2 - 1/6*i - l*i**x + 0 = 0. What is i?
0, 1
Let a(l) be the third derivative of l**9/70560 - l**8/14112 + l**7/17640 + l**6/2520 - l**5/20 + 8*l**2. Let h(u) be the third derivative of a(u). Factor h(y).
2*(y - 1)**2*(3*y + 1)/7
Let c(r) be the first derivative of -14 - 6/7*r - 11/14*r**2 + 1/7*r**4 - 1/21*r**3. Factor c(p).
(p - 2)*(p + 1)*(4*p + 3)/7
Factor -1/2*f**2 - 10*f - 19/2.
-(f + 1)*(f + 19)/2
Suppose 19 = -4*i + 3*h + 18, -2*h = -i + 1. Let j be 180/54 + i*2/6. Factor 12/5*g**2 - 4/5*g + 9/5*g**j - 7/5*g**4 + 0.
-g*(g - 2)*(g + 1)*(7*g - 2)/5
Let j(h) be the first derivative of h**6/195 - h**4/26 + 2*h**3/39 + 3*h + 9. Let z(x) be the first derivative of j(x). Factor z(r).
2*r*(r - 1)**2*(r + 2)/13
Let j(l) be the second derivative of 0*l**2 - l + 0*l**3 + 9 + 1/12*l**4 - 1/20*l**5. Determine n so that j(n) = 0.
0, 1
Let v = 113263/35 - 3236. Let u(y) be the first derivative of 5/7*y**3 + 0*y + v*y**5 - 3/7*y**2 + 7 - 3/7*y**4. Factor u(g).
3*g*(g - 2)*(g - 1)**2/7
Let a(z) = z**2 + 5*z + 13. Let w be a(-6). Suppose 5*y - 19 = 3*q, 2*y + 13*q = 18*q + w. Factor -4/3 - y*f + 2*f**2 + 4/3*f**3.
2*(f - 1)*(f + 2)*(2*f + 1)/3
Let t(b) = -5*b**2 + 10*b. Let s(g) be the third derivative of g**5/6 - 5*g**4/6 + 13*g**2. Let j(f) = -2*s(f) - 5*t(f). Factor j(k).
5*k*(k - 2)
Suppose 0*l + 3*l**4 - 1/2*l**5 + 0 - 9/2*l**3 + 2*l**2 = 0. Calculate l.
0, 1, 4
Let o(g) be the second derivative of 0 + 0*g**2 - g - 9/20*g**5 + g**3 + 1/4*g**4. Factor o(h).
-3*h*(h - 1)*(3*h + 2)
Let t(p) = p**3 + p**2 + 2*p - 2. Let r(m) = 28*m**3 + 28*m**2 - 72*m - 48. Let l(c) = r(c) - 24*t(c). Factor l(q).
4*q*(q - 5)*(q + 6)
Let t(x) be the first derivative of -2*x + 0*x**2 - 1/42*x**4 + 3/70*x**5 - 2/21*x**3 + 5. Let a(k) be the first derivative of t(k). Solve a(d) = 0 for d.
-2/3, 0, 1
Suppose 36/7*l - 3*l**2 + 0 + 3/7*l**3 = 0. What is l?
0, 3, 4
Let s(m) be the first derivative of 3*m**5/35 + 3*m**4/7 + 4*m**3/7 + 201. Let s(f) = 0. Calculate f.
-2, 0
Suppose 0 = 2*u - 4. Let k = 20177 + -161413/8. Factor 3/8*t**u + 3/4*t + k.
3*(t + 1)**2/8
Let d(o) be the third derivative of -o**6/160 - o**5/80 + 131*o**2. Find r, given that d(r) = 0.
-1, 0
Suppose 0 = -4*j + 11 + 1. Let a(l) = 5*l**4 + 20*l**3 + 25*l**2 + 10*l + 3. Let i(h) = -1. Let z(x) = j*i(x) + a(x). What is g in z(g) = 0?
-2, -1, 0
Factor -63*f**2 + 30 - 33*f**3 + 9*f - 12*f**4 + 26*f**4 - 5*f**4.
3*(f - 5)*(f + 1)**2*(3*f - 2)
Let a = -1877/10 + 188. Let l(b) be the second derivative of -a*b**5 + 0*b**2 + 0 + 2*b + 1/10*b**6 + 0*b**4 + 0*b**3. Suppose l(n) = 0. Calculate n.
0, 2
Let x(i) = -i + 21. Let r be x(18). Let 10/3*s**2 + 5/3*s**r + 0 + 5/3*s = 0. What is s?
-1, 0
Let b(h) be the third derivative of -h**8/588 + 8*h**7/735 - h**6/70 - 68*h**2. What is n in b(n) = 0?
0, 1, 3
Suppose -2*s + 42 = 2*q + 2*s, 5*q = -s + 69. Suppose 9 - 9 = q*r. Factor 4/3*x + 4/3*x**4 - 4/3*x**2 - 4/3*x**3 + r.
4*x*(x - 1)**2*(x + 1)/3
Let y(q) be the second deriva