ate w.
-2, -1
Let j(a) be the second derivative of 2*a**3 - 1/5*a**5 + 0*a**4 + 4*a**2 + 4*a + 0. Factor j(k).
-4*(k - 2)*(k + 1)**2
Let s(l) be the first derivative of l**4/36 - l**3 + 27*l**2/2 + 8*l - 15. Let i(j) be the first derivative of s(j). Let i(p) = 0. What is p?
9
Suppose 0 = d - t - 9, 0 = 4*d - 0*t - 2*t - 26. Let g be (-6 - (-4)/2) + 7. Suppose 3*c**d + 21*c**3 - 18*c**g + 3*c**4 + 3*c**5 = 0. Calculate c.
-1, 0
Let o(m) = -18*m**2 - 2*m + 18. Let u = -98 + 107. Let h(p) = -p**3 - 73*p**2 - 8*p + 73. Let n(v) = u*o(v) - 2*h(v). Factor n(b).
2*(b - 8)*(b - 1)*(b + 1)
Let s = -2421 + 2421. Let h(v) be the first derivative of 12*v + 13 - 4/5*v**5 + 8*v**3 + s*v**4 - 16*v**2. What is y in h(y) = 0?
-3, 1
Let z(y) be the second derivative of -y**8/23520 + y**7/2940 - y**6/840 + y**5/420 - 13*y**4/4 + 18*y. Let f(s) be the third derivative of z(s). Factor f(a).
-2*(a - 1)**3/7
Let i be (8/(-32))/(17/(-204)). Factor -1/8*c**i - 1/4*c**2 + 1/4 + 1/8*c.
-(c - 1)*(c + 1)*(c + 2)/8
Let p(k) be the first derivative of -2*k**5/35 - k**4/7 + 8*k**3/7 - 2*k**2 + 10*k/7 + 29. Suppose p(x) = 0. What is x?
-5, 1
Let g(b) be the first derivative of -b**3 - 9*b**2/2 + 30*b - 313. Let g(p) = 0. Calculate p.
-5, 2
Let y be 990/63 - (-2)/7. Suppose y = -4*t, -6*o + 4*o = -3*t - 12. Factor 3/4*l + 0 + 3/4*l**5 + o*l**4 + 0*l**2 - 3/2*l**3.
3*l*(l - 1)**2*(l + 1)**2/4
Let x(l) be the second derivative of -l**8/168 + 2*l**7/105 - l**5/15 + l**4/12 + 6*l**2 - 6*l. Let p(a) be the first derivative of x(a). Solve p(f) = 0 for f.
-1, 0, 1
Let c(f) be the first derivative of -7/8*f**4 + 1/2*f**5 - 27 + 0*f + 1/3*f**3 + 0*f**2. Factor c(a).
a**2*(a - 1)*(5*a - 2)/2
Let z be ((-4)/(-3)*3)/(56/98). Let o(r) be the third derivative of 0 + 1/168*r**8 + 0*r - 7*r**2 - 1/105*r**z + 0*r**3 + 0*r**4 + 0*r**6 + 0*r**5. Factor o(s).
2*s**4*(s - 1)
Let l be (2 - 1)/(-1) - -21. Let -l*j + 120*j**4 + 163*j**3 - 41*j**3 + 25*j**5 + 53*j**3 + 60*j**2 = 0. What is j?
-2, -1, 0, 1/5
Factor 280 - 11*o**3 - 60*o**2 + 150*o**2 + 6*o**3 - 300*o.
-5*(o - 14)*(o - 2)**2
Let l(n) be the first derivative of -n**5/4 - 7*n**4/8 + 3*n**3 - 2*n**2 - 4. Let b(p) be the second derivative of l(p). Factor b(k).
-3*(k + 2)*(5*k - 3)
Suppose 5*n**4 - 2*n**4 - 9*n**3 - 588111*n**2 + 588111*n**2 = 0. Calculate n.
0, 3
Let y = -5 + 10. Let b = -54 + 57. What is i in 24*i**2 + y - 14*i**2 + 3 - 2*i**3 + 16*i + 4*i**b = 0?
-2, -1
Suppose -3*n - 5*h = -77, 2*n + 4*h - 25 = 25. Factor 74 + 19*t**2 + t**2 + t + n*t**3 - 76 + 12*t**4.
(t + 1)**2*(3*t + 2)*(4*t - 1)
Let z = -53047 + 53050. Factor -9/2*s - 9/4*s**2 - 3/8*s**3 - z.
-3*(s + 2)**3/8
Suppose -h - 5*h - 2*h**2 + 5*h**2 = 0. Calculate h.
0, 2
Let w = 13 + -11. Factor -72 + 72 + w*y - y**2 - y.
-y*(y - 1)
Suppose 0*w**2 + 159*w**4 - 2*w**3 - 2*w**3 - 82*w**4 + 2*w**2 - 75*w**4 = 0. What is w?
0, 1
Let j(m) be the third derivative of -m**9/120960 + m**8/40320 + m**5/10 - 26*m**2. Let h(i) be the third derivative of j(i). Determine c so that h(c) = 0.
0, 1
Let h(i) be the second derivative of 5/6*i**3 + 0 + 6*i**2 - 1/6*i**4 - 37*i. Factor h(a).
-(a - 4)*(2*a + 3)
Let d(p) = -20*p**2 - 2*p - 20. Let r = 28 + -23. Let m(t) = -7*t**2 - t - 7. Let i(x) = r*d(x) - 14*m(x). Factor i(b).
-2*(b - 1)**2
Let j be ((-16)/(-84))/((-12)/(-70)). Let b be 11/12 + (-2)/8. Solve -j*h**3 - b*h**2 - 8/9 + 8/3*h = 0.
-2, 2/5, 1
Let p(m) = m**4 - m**3. Let u(x) = -3*x**3 - 2*x**4 + 2*x**2 + 12*x - 2 - 4 - 3. Let t(f) = -3*p(f) - 3*u(f). Factor t(l).
3*(l - 1)**2*(l + 3)**2
Let j be 18/18*-8*(-60)/88. Factor -150/11 + j*h - 6/11*h**2.
-6*(h - 5)**2/11
Let c be (-2)/(3 - 40/12). Suppose 6 - 2 + 22*j**2 - c*j**2 + 4*j**3 - 4*j**2 + 12*j = 0. Calculate j.
-1
Let s(q) be the first derivative of q**9/5292 - q**8/2940 + q**7/5880 + 9*q**3 + 29. Let f(c) be the third derivative of s(c). Factor f(y).
y**3*(2*y - 1)**2/7
Let k = 2201 - 2201. Let h(y) be the third derivative of -12*y**2 - 2/3*y**5 - 5/6*y**3 + k*y + 5/84*y**8 + 0 - 5/4*y**4 + 1/12*y**6 + 3/14*y**7. Factor h(m).
5*(m - 1)*(m + 1)**3*(4*m + 1)
Let d be 5 - (-2 + 0/(-3)). Suppose -d*c + 12*c = 25. Factor -5*j**2 - 3*j**c + 14*j**2 - 15*j**2 + 6*j**4 + 3*j.
-3*j*(j - 1)**3*(j + 1)
Let z(c) be the third derivative of c**8/36960 + c**7/6930 + c**4/3 - 5*c**2. Let f(m) be the second derivative of z(m). Factor f(r).
2*r**2*(r + 2)/11
Let s(x) be the second derivative of -25*x**8/336 + 5*x**7/84 - x**6/48 + x**5/240 + x**4/12 - 3*x. Let a(w) be the third derivative of s(w). Factor a(c).
-(10*c - 1)**3/2
Let w = -67 + 70. Factor 248*v + 180 + 18*v**2 - 31*v**3 - 19*v**w + 52*v + 5*v**4 + 47*v**2.
5*(v - 6)**2*(v + 1)**2
Let t(m) = -m**3 + 10*m**2 + m - 8. Let q be t(10). Factor -3/2*j**q + 0*j + 0 + 3*j**4 + 21/4*j**3.
3*j**2*(j + 2)*(4*j - 1)/4
Suppose 0 = -k - 3*b - 12, -14 = k + 2*b - 6. Let s(j) = -7*j + 31. Let o be s(4). Factor k + 3*q**o + 1/2*q + 2*q**2 + 2*q**4 + 1/2*q**5.
q*(q + 1)**4/2
Let s(v) be the first derivative of -4/25*v**5 - 1 + 2/5*v**2 + 0*v - 1/5*v**4 + 4/15*v**3. Factor s(i).
-4*i*(i - 1)*(i + 1)**2/5
Let h(l) = l**2 + 11*l + 30. Let r be h(-9). Let 22*o**3 + 43*o**3 - 96*o**2 + 100*o**3 + r*o = 0. What is o?
0, 2/11, 2/5
Suppose -20*q + 19*q - 19 = -4*u, -5*q = -5. Solve -9/7*j + 0 + 0*j**4 - 18/7*j**3 + 3/7*j**u + 24/7*j**2 = 0 for j.
-3, 0, 1
Let d = -4/8487 + 67964/144279. Factor -8/17*z**2 + d - 2/17*z + 2/17*z**3.
2*(z - 4)*(z - 1)*(z + 1)/17
Let y(i) be the third derivative of -i**6/600 - i**5/75 - 367*i**2. Find c, given that y(c) = 0.
-4, 0
Let h(s) be the second derivative of s**7/42 + s**6/10 - s**5/20 - s**4/4 + 5*s - 9. What is c in h(c) = 0?
-3, -1, 0, 1
Let n(h) be the first derivative of -h**7/980 + h**6/504 + h**5/840 - 4*h**3 + 2*h - 27. Let o(u) be the third derivative of n(u). Factor o(x).
-x*(x - 1)*(6*x + 1)/7
Let p be 301/4 - (-6)/(-24). Let t be (5/(p/36))/(10 - 8). Suppose 0 - 3/5*i**3 + t*i**2 + 0*i = 0. What is i?
0, 2
Let j(a) be the second derivative of -a**5/170 + 4*a**4/51 + 19*a**3/51 + 10*a**2/17 - 73*a. Solve j(i) = 0 for i.
-1, 10
Let p be 5 + 3*(4/(-4) - -2). Let o = -6 + 10. Find c such that 0 - p*c - o + 5*c**3 - 12*c**4 + 16*c**2 + 3*c**3 = 0.
-1, -1/3, 1
Factor 144/5*d**3 + 48*d**2 + 8/5 - 92/5*d.
4*(d + 2)*(6*d - 1)**2/5
Find h, given that 6*h**3 + 3/2*h**4 + 0*h - 3/4*h**5 + 0 + 0*h**2 = 0.
-2, 0, 4
Solve -27/4*b**4 - 471/8*b**2 + 297/8*b**3 - 15/2 + 36*b = 0 for b.
1/2, 2/3, 1, 10/3
Suppose -1/4*g**2 + 5/2*g + 0 = 0. Calculate g.
0, 10
Let d(u) be the second derivative of u**4/42 + 8*u**3/21 + 16*u**2/7 + 3*u + 20. Factor d(h).
2*(h + 4)**2/7
Let 18*v + 34*v**3 - 7*v**5 + 6*v + 116*v**2 + 109*v**3 - 25*v**3 + 19*v**4 = 0. Calculate v.
-2, -1, -2/7, 0, 6
Let w be ((-21)/28)/((-6)/1282). Let j = -160 + w. Factor 1/2*c**2 + 1/4*c**3 + 0 + j*c.
c*(c + 1)**2/4
Let u = -12 + 16. Suppose -5*f - s = -0*f - 18, -f + 15 = u*s. Solve -x**3 + 0*x**3 - x**f - 2*x**2 = 0.
-1, 0
Let a(f) be the first derivative of 16/9*f + 4/27*f**3 + 8/9*f**2 - 27. Find t such that a(t) = 0.
-2
Let k be (3 + 3 + -5)/((-22)/(-4) + -3). Let 4/5*c + k + 2/5*c**2 = 0. Calculate c.
-1
Let z(d) = -4*d**4 + 4*d**3 - 3*d**2 - 3*d. Let w(r) = -3*r**4 + 3*r**3 - 2*r**2 - 2*r. Let k(m) = -6*w(m) + 4*z(m). Factor k(f).
2*f**3*(f - 1)
Suppose 0 - 3/2*u + 3/2*u**3 + 3/4*u**2 - 3/4*u**4 = 0. Calculate u.
-1, 0, 1, 2
Let v(m) be the first derivative of -3*m**4/4 - 6*m**3 - 27*m**2/2 - 100. Let v(b) = 0. Calculate b.
-3, 0
Let n(x) = x**2 - 2. Let w be n(-2). Let y be (1/2 - 1)*0. Factor -2/3*i + y + w*i**2 - 5/6*i**3.
-i*(i - 2)*(5*i - 2)/6
Let c(s) be the third derivative of s**8/181440 + s**7/11340 + s**6/2160 - s**5/15 + s**2. Let p(o) be the third derivative of c(o). Factor p(r).
(r + 1)*(r + 3)/9
Let i be (3 - 7/2)*-24. Suppose h = -v + 4, v - h + i = 6*v. What is k in 5*k**3 + 0*k**3 + 30*k**2 - v*k**3 - 33*k**2 = 0?
0, 1
Solve 44*a**5 + 56*a**3 - 63*a**4 - 100*a + 2 + 128*a**2 - 60*a**4 - 13*a**4 - 4 + 10 = 0.
-1, 1/11, 1, 2
Let o(m) be the first derivative of m**4/26 + 4*m**3/39 - 106. Suppose o(x) = 0. Calculate x.
-2, 0
Let r(c) be the second derivative of c**7/14 + c**6/10 - 9*c**5/10 - c**4 + 4*c**3 - 4*c + 1. Factor r(j).
3*j*(j - 2)*(j - 1)*(j + 2)**2
Factor 0 + w - 1/4*w**2.
-w*(w 