 + 841/14. Let w(d) be the first derivative of -3/28*d**4 - 1/7*d**3 + 0*d + 0*d**2 + t*d**6 + 2 + 3/35*d**5. Suppose w(s) = 0. What is s?
-1, 0, 1
Let k(i) be the first derivative of 3*i**4/4 - 22*i**3 + 363*i**2/2 - 46. Factor k(w).
3*w*(w - 11)**2
Solve -24/5 + 12/5*k - 3/5*k**3 + 6/5*k**2 = 0.
-2, 2
Suppose -u + 4*u - 30 = 0. Let x = u + -7. Find r, given that 8*r**x + 15*r**3 + 7 - 2*r**3 - 36*r**2 - 1 + 9*r = 0.
-2/7, 1
Let z = 58 - 8. Factor 9*a + a - z*a**2 + 20 + 54*a**2 + 14*a.
4*(a + 1)*(a + 5)
Let g(s) be the first derivative of 0*s - 1/20*s**4 + 1/10*s**2 - 8 - 1/30*s**3 + 1/50*s**5. Factor g(n).
n*(n - 2)*(n - 1)*(n + 1)/10
Let i be (-1)/4 - (-11150)/792. Let v = i + -95/9. Solve -16/11*p - 2/11*p**5 - v*p**3 + 0 + 40/11*p**2 + 14/11*p**4 = 0 for p.
0, 1, 2
Factor 1729 - 65*p**2 - 640*p + 23871 + 69*p**2.
4*(p - 80)**2
Factor 185*h**2 - 157*h + 5*h**3 + 675 - 15 + 457*h + 380*h.
5*(h + 2)**2*(h + 33)
Let y(s) be the second derivative of s**5/20 - 3*s**4/4 + 7*s**3/6 + 5*s**2 + 8*s. Let u be y(8). What is o in 14*o + 0*o**u - 8*o + 3*o**2 = 0?
-2, 0
Suppose -2*y - 5*p = 1035 - 1079, 3*y = 4*p - 26. Determine f, given that 1/5*f**y - 2/5*f + 0 + 2/5*f**4 + f**3 = 0.
-2, -1, 0, 1/2
Let b = 60 - 56. Suppose 2*h + 4 = 3*m, b*h - 2*h = -m + 4. Factor -2/7*p**m - 4/7*p - 2/7.
-2*(p + 1)**2/7
Let r be ((-360)/252)/((-10)/35). Let v(m) be the second derivative of -5/84*m**4 + 1/14*m**2 + 0 - 11*m + 1/42*m**3 + 3/140*m**r. Factor v(p).
(p - 1)**2*(3*p + 1)/7
Let i(m) = m**2 + 44*m - 1116. Let g be i(-62). Factor g + 0*w + 0*w**2 - 2/11*w**4 - 2/11*w**3.
-2*w**3*(w + 1)/11
Let t(a) = -a**3 - 2*a**2 + 2. Let g be t(-2). Let o be 1/((2/13)/g). Find q, given that 0 - 4 - o*q**2 + 9*q**2 + 6*q + 2*q = 0.
1
Let f(m) be the third derivative of 3/4*m**3 - 3*m**2 + 1/120*m**5 + 0*m - 1/8*m**4 + 0. Factor f(d).
(d - 3)**2/2
Solve -32/7*m**2 - 32/7 + 10/7*m**4 - 2/7*m**5 - 8/7*m**3 + 64/7*m = 0 for m.
-2, 1, 2
Determine u, given that 4*u - 5*u**4 - 202 + 6*u + 20*u**2 - 10*u**3 + 187 = 0.
-3, -1, 1
Let c(l) = l**4 - l**3 + 4*l**2 - 2*l - 2. Let a(k) = -4*k**4 + 4*k**3 - 12*k**2 + 5*k + 7. Let p(w) = -2*a(w) - 7*c(w). Factor p(h).
h*(h - 2)*(h - 1)*(h + 2)
Suppose -6*g**3 + 0 - 81/2*g + 63/2*g**2 = 0. What is g?
0, 9/4, 3
Let x be ((-17)/(-4))/(2/8). Solve -19*b**2 - 55*b**2 - 128*b**5 - 14*b + 232*b**3 - x + 21 + 160*b**4 = 0.
-1, -1/4, 1/4, 2
Let -2/9*l**3 - 8192/9 - 32/3*l**2 - 512/3*l = 0. What is l?
-16
Let d(q) be the third derivative of -q**8/224 + q**7/14 + q**6/80 - q**5/4 + 2*q**2 - 71*q. Solve d(j) = 0 for j.
-1, 0, 1, 10
Let n(r) be the third derivative of 0*r**3 + 0 + 1/60*r**5 + 42*r**2 + 0*r + 0*r**4. Determine l, given that n(l) = 0.
0
Let j(d) = -d**2 + d - 1. Let r(q) = -q**2 + 2*q + 4. Let z be r(4). Let g(k) = 6*k**2 - 2. Let m(n) = z*j(n) - g(n). Factor m(t).
-2*(t - 1)*(t + 3)
Let c(z) be the third derivative of 4*z - 3/5*z**5 - z**2 + 17/6*z**4 + 0 - 2*z**3 - 1/6*z**6. Factor c(k).
-4*(k - 1)*(k + 3)*(5*k - 1)
Let i be ((-3)/(-76))/(60/(-520)). Let r = 3/19 - i. Factor 3/2*u**2 + 0 - r*u.
u*(3*u - 1)/2
Factor 1/5*o**5 + 0 - 3/5*o**3 - 12/5*o + 6/5*o**4 - 4*o**2.
o*(o - 2)*(o + 1)**2*(o + 6)/5
Let v be 45/(-10)*4/(-6). Factor -i - 16 - 7*i**2 - 15*i + v*i**2 - 4*i.
-4*(i + 1)*(i + 4)
Let z(w) be the second derivative of w**7/42 + 41*w**6/30 + 22*w**5 + 100*w**4/3 + 297*w. Determine p so that z(p) = 0.
-20, -1, 0
Let g(l) be the third derivative of 0 + 3/5*l**4 + 0*l + 1/350*l**7 + 1/100*l**6 + 0*l**3 + 14*l**2 - 1/5*l**5. Solve g(v) = 0 for v.
-6, 0, 2
Let t(i) = i**3 + i. Let a = 20 - 23. Let d(w) = -2*w**3 - 9*w**2 + 24*w - 27. Let r(g) = a*t(g) - d(g). Factor r(y).
-(y - 3)**3
Let i(b) be the first derivative of -5*b**3 - 515*b**2 - 680*b - 126. Factor i(s).
-5*(s + 68)*(3*s + 2)
Suppose 12*h + 45/4 + 3/4*h**2 = 0. Calculate h.
-15, -1
Let w be -1 - -2 - (-9)/(-6)*(-1862)/1995. Solve 0 + 12/5*p - w*p**2 + 3/5*p**3 = 0 for p.
0, 2
Let z be (-4)/24*2*6. Let a be z + 4 - (0 + 0). Factor 2 + 13*k + 50*k**a + 9*k - 2*k.
2*(5*k + 1)**2
Let w(a) = 4*a**3 + 3*a**2 + 6*a + 1. Let x(d) = -11*d**3 + d**2 - 2*d**2 - 17*d - 1 - 2 - 8*d**2. Let i(t) = -8*w(t) - 3*x(t). Factor i(s).
(s + 1)**3
Let p(o) be the second derivative of -o**8/2800 + o**7/700 - o**6/600 - 31*o**3/6 - o + 9. Let c(i) be the second derivative of p(i). Solve c(y) = 0 for y.
0, 1
Let z(k) be the second derivative of -2*k**6/15 + 12*k**5/5 - 52*k**4/3 + 64*k**3 - 128*k**2 + 24*k. Factor z(l).
-4*(l - 4)**2*(l - 2)**2
Suppose 0 = -5*z - 2*a, -5*a + 4 = 29. Let j be (41 - 39 - (1 + -5)) + (-123)/21. Factor -16/7 - j*s**z + 8/7*s.
-(s - 4)**2/7
Let x(q) be the first derivative of -q**5 + 65*q**4/2 - 360*q**3 + 1215*q**2 + 3645*q - 249. Find b, given that x(b) = 0.
-1, 9
Let t(f) be the first derivative of 3*f**5/5 - 27*f**4/4 + 15*f**3 + 75*f**2/2 + 27. Solve t(z) = 0 for z.
-1, 0, 5
Let o be (9 - 0)/(3*8/24). Suppose -3*g - 2*g - 3 = -l, -3*l = -g - o. What is b in -2/7*b**3 - 8/7*b**2 - 8/7*b + g = 0?
-2, 0
Let g be 5/3 + (-6974)/4755. Determine f, given that -g*f**2 + 0*f + 0 = 0.
0
Let o(r) be the first derivative of -9*r**4/4 + 32*r**3 + 39*r**2/2 - 66*r + 77. Factor o(z).
-3*(z - 11)*(z + 1)*(3*z - 2)
Suppose -2*a = 2*t - 18, 2*a - 27 = -a + 4*t. Let b be (1*1/12)/(a/81). Suppose -b*o**2 - 3/2 - 9/4*o = 0. What is o?
-2, -1
Let s(d) = 16*d**3 - 3*d**2 + 3*d - 1. Let w be s(1). Let q be (2/w)/(-4*(-3)/72). Determine u so that -q*u**3 - 17/5*u**2 - 4/5 - 4*u = 0.
-2, -1/4
Let l(t) = -3*t**3 - 12*t**2 + 17*t - 32. Let s(y) = 2*y**3 + 12*y**2 - 18*y + 28. Let c(b) = 4*l(b) + 5*s(b). Factor c(q).
-2*(q - 3)*(q - 2)*(q - 1)
Let o(y) be the second derivative of y**9/3024 - y**8/672 + y**7/504 + y**4/4 - 7*y. Let l(f) be the third derivative of o(f). Factor l(h).
5*h**2*(h - 1)**2
Let l(x) be the first derivative of 0*x - 2/33*x**3 + 0*x**2 + 6. Let l(n) = 0. What is n?
0
Let v(m) be the first derivative of 3/4*m**2 + 3/2*m**3 - 3/8*m**4 - 18 - 9/2*m. What is w in v(w) = 0?
-1, 1, 3
Suppose 6 = 2*f - 0. Find p such that 8 - 18*p - 2*p + 16*p**2 - 64*p**3 + 60*p**f = 0.
1, 2
Let l be (-3 - -3)/2 + -2. Let n be -6*l*(-4)/(-24). Factor 6*y - 11*y - 2*y**n + 3*y.
-2*y*(y + 1)
Let b = 20 - 9. Factor 6*a**2 + 13*a + 6*a - 2*a**2 - b*a.
4*a*(a + 2)
Determine b so that -4/9*b**4 + 0 + 2/9*b**5 - 8/9*b**3 + 2/3*b + 4/9*b**2 = 0.
-1, 0, 1, 3
Let h = -927/5 + 186. Let v(z) be the third derivative of 0 + 1/300*z**6 - 7/150*z**5 + 1/4*z**4 + 0*z - h*z**3 - 5*z**2. Factor v(j).
2*(j - 3)**2*(j - 1)/5
Factor 27/7*g + 0 + 18/7*g**2 + 3/7*g**3.
3*g*(g + 3)**2/7
Let o(i) = -18*i + 669. Let u be o(37). Let -2/9 + 8/9*a - 4/9*a**2 + 2/3*a**4 - 8/9*a**u = 0. Calculate a.
-1, 1/3, 1
Suppose v + 4 = 3*c, 0 = -5*c - 5*v + 4*v + 20. What is b in b - 2*b**4 - 241*b**3 + 2*b**2 + c*b + 237*b**3 = 0?
-2, -1, 0, 1
Let k = 5 + -3. Let -59*v + 62*v - v**3 - k*v**3 = 0. What is v?
-1, 0, 1
Let z = -4303/7 + 617. Let b(a) be the first derivative of -24/7*a**3 - 4/7*a - 9 + 16/7*a**4 - 4/7*a**5 + z*a**2. What is n in b(n) = 0?
1/5, 1
Let c(h) be the second derivative of -1/150*h**6 + 1/2*h**2 + 0 + 1/5*h**4 + 48*h - 1/50*h**5 - 7/15*h**3. Suppose c(b) = 0. Calculate b.
-5, 1
Let y be (2 - 6)/(-2)*2. Let s be 56/16 - 2/y. Factor 4*a**2 + 4*a + a**s - 2*a**2 - 3*a**3.
-2*a*(a - 2)*(a + 1)
Let x(f) be the third derivative of -f**8/504 - f**7/45 + f**6/6 - f**2 + 28*f. Factor x(i).
-2*i**3*(i - 3)*(i + 10)/3
Factor 3*m**2 + 216 - 24*m**2 - 212*m + 8*m**2 + 9*m**2.
-4*(m - 1)*(m + 54)
Let i = 1308 - 1305. Factor -2/7*r**2 - 2/7*r**4 + 4/7*r**i + 0 + 0*r.
-2*r**2*(r - 1)**2/7
Suppose -4*w - 2*w = 18. Let k be 40/42*w/(-2). Factor -10/7*m + k*m**3 - 4/7 + 4/7*m**2.
2*(m - 1)*(m + 1)*(5*m + 2)/7
Let y be (1 - 78/30)*10/(-4). Find m, given that 0 - 3/2*m**y + 0*m + 0*m**3 + 3/2*m**2 = 0.
-1, 0, 1
Let y(h) be the third derivative of -h**8/4 + 41*h**7/70 + 63*h**6/10 + 31*h**5/5 + 2*h**4 - 95*h**2. Find i, given that y(i) = 0.
-2, -2/7, -1/4, 0, 4
Let z(c) = 3*c**2 + 21*c - 22. Let o be z(-8). Determine f so that -4/5*f + 1/5*f**o + 4/5 = 0.
2
Determine t, given that -175/2*t - 13/2*t**4 + 1/2*t**5 + 5*t**2 + 23*t**3 - 125/2 = 0.
-1, 5
Let v(a) be the third derivative of 0 + 1/660*a**6 - 1/132*a**4 - 5*a**2 + 0*a +