0*x**2 + 1/16*x**4 + 13*x - 9/160*x**5 + 1/80*x**6 + 0*x**3 + 0. Factor r(z).
3*z**2*(z - 2)*(z - 1)/8
Let y(p) = -p**5 + p**4 - 2*p**2 - 1. Let w(x) = x**5 - 9*x**4 + 2*x**3 + 20*x**2 - 5. Let l(q) = -2*w(q) - 6*y(q). Find z such that l(z) = 0.
-2, -1, 1
Let p = 608/13 + -2962/65. Factor 1/5*d**5 + 4/5*d**2 + 4/5*d**4 + p*d**3 + 1/5*d + 0.
d*(d + 1)**4/5
Let a(q) be the first derivative of 4*q**5/5 - q**4 - 12*q**3 + 18*q**2 - 350. Determine s, given that a(s) = 0.
-3, 0, 1, 3
Let m(q) be the first derivative of q**8/3360 - q**7/560 + q**6/240 - q**5/240 - 25*q**3/3 + 11. Let n(f) be the third derivative of m(f). Solve n(z) = 0 for z.
0, 1
Let g be ((-2)/8)/(3/(-372)). Suppose -14*q + g = 3. Determine m, given that 27/4 + 3/4*m**q - 9/2*m = 0.
3
Let n be 0 - 3*((-16)/12)/2. What is w in n*w**2 + 0*w**3 - 15*w**2 + 4*w**2 + 3*w**3 = 0?
0, 3
Factor 0 + 2/5*o**2 + 284/5*o.
2*o*(o + 142)/5
Let q = 2316/11 - 9099/44. Suppose 0 = -g + 2*d - 7, 4*d - 7 = 5*g - 2. Solve -3/4*j**5 - 3/4*j**4 + g + q*j**3 - 6*j + 3/4*j**2 = 0.
-2, 1
Let i(c) be the first derivative of 5*c**9/2016 - 3*c**8/1120 - c**7/280 - 20*c**3/3 + 10. Let l(q) be the third derivative of i(q). Factor l(a).
3*a**3*(a - 1)*(5*a + 2)/2
Let w be 10/3 - (6/9)/2. Factor 0 - 7/4*q**2 - 1/2*q - 3/4*q**w.
-q*(q + 2)*(3*q + 1)/4
Let d(c) = -c**4 + 2*c**2 + 1. Let k(z) = 60*z**3 - 10*z**2 - 53*z**4 + 15*z**5 + 58 - 4*z**2 + 5*z - 55 - 10*z**2. Let a(t) = 3*d(t) - k(t). Factor a(i).
-5*i*(i - 1)**3*(3*i - 1)
Let m(q) be the third derivative of 0*q**3 + 1/40*q**6 - 13*q**2 + 0*q**4 + 0*q + 1/112*q**8 + 0*q**5 - 1/35*q**7 + 0. Find r such that m(r) = 0.
0, 1
Let p(w) be the first derivative of -w**6/10 - 9*w**5/25 + 9*w**4/20 + 11*w**3/5 + 9*w**2/5 + 405. Let p(i) = 0. What is i?
-3, -1, 0, 2
Let j(b) = 0 + b**2 + 1 + 3*b**2 + 0. Let l be j(1). Let 2*n**3 + 2*n + 0*n**3 + 10*n**4 - 3*n**l - 8*n**3 - n**5 - 2*n**2 = 0. Calculate n.
-1/2, 0, 1
What is c in -2*c**2 - 2*c**2 + 2*c**2 - 50 + 45*c - 12 + 19*c = 0?
1, 31
Let q(c) = 582*c**3 + 41462*c**2 - 84680*c + 42634. Let p(s) = -s**4 + 583*s**3 + 41460*s**2 - 84680*s + 42635. Let j(r) = -4*p(r) + 6*q(r). Solve j(l) = 0.
-146, 1
Let d(i) = -38*i**2 + 151*i + 6. Let k be d(4). Factor 0*s**k + 0*s**4 + 0*s - 1/4*s**3 + 0 + 1/4*s**5.
s**3*(s - 1)*(s + 1)/4
Let t(v) = -10*v**2 + v + 31. Let h(n) be the first derivative of 5*n**3/3 - n**2/2 - 16*n - 5. Let g(y) = 11*h(y) + 6*t(y). Suppose g(a) = 0. Calculate a.
-2, 1
Let z(u) be the second derivative of u**5/80 + 3*u**4/8 + 9*u**3/2 + 23*u**2/2 - 23*u. Let k(r) be the first derivative of z(r). Suppose k(p) = 0. Calculate p.
-6
Suppose -129 = -4*o + j, -126 + 6 = -4*o + 4*j. Let i = -29 + o. Determine n so that -8*n + 19*n - 3*n - 4*n**2 - i = 0.
1
Let b(q) be the first derivative of 2*q**5/55 - 2*q**4/11 + 2*q**3/33 + 6*q**2/11 - 106. Solve b(m) = 0 for m.
-1, 0, 2, 3
Let c(p) be the second derivative of -p**4/18 + 500*p**3/9 - 62500*p**2/3 + 437*p. Factor c(j).
-2*(j - 250)**2/3
Let b(a) be the second derivative of -a**6/660 + a**5/110 - a**4/66 + 5*a**2/2 - 9*a. Let q(i) be the first derivative of b(i). Factor q(o).
-2*o*(o - 2)*(o - 1)/11
Let k = 103/220 - 12/55. Factor 1/4 - k*t**2 + 0*t.
-(t - 1)*(t + 1)/4
Let h(n) = 2 - 4*n - 5*n + 4*n + n**2 + 4*n**3 - 3*n**3. Let q be h(2). Suppose 217*a**3 - 25*a**3 + 64 + 36*a**q + 352*a**2 + 314*a - 58*a = 0. What is a?
-2, -2/3
Let h(l) = -2*l**2 + 35*l - 144. Let d be h(7). Let u(k) be the first derivative of 0*k + 0*k**4 - 1/6*k**6 + 1 + 0*k**d + 0*k**2 + 1/5*k**5. Factor u(c).
-c**4*(c - 1)
Let i(d) be the first derivative of d**3/21 + 9*d**2/7 + 72*d/7 + 807. Factor i(g).
(g + 6)*(g + 12)/7
What is x in 4/5*x**3 - 9/5*x**2 + x + 0 = 0?
0, 1, 5/4
Determine h, given that -21*h**3 + 9*h - 3*h**3 + 30 + 0*h**3 + 32*h**3 - 18*h**2 - 5*h**3 = 0.
-1, 2, 5
Suppose -71 - 224 = -59*g. Determine o so that 1/4*o + 0 + 1/2*o**4 + 0*o**3 - 1/4*o**g - 1/2*o**2 = 0.
-1, 0, 1
Let d(c) be the second derivative of -3*c**5/80 - 3*c**4/8 + 25*c**3/8 - 27*c**2/4 - 336*c. Solve d(g) = 0 for g.
-9, 1, 2
Let b(z) = z**3 + 27*z**2 - 27*z + 30. Let i be b(-28). Let -14*d**i - 6 + 25*d - 28*d**2 + 51*d**2 = 0. Calculate d.
-3, 2/9
Let g(d) be the third derivative of -d**7/945 - d**6/135 - 2*d**5/135 - 14*d**2. What is z in g(z) = 0?
-2, 0
Let -1/6*j**2 - 2/3*j - 2/3 = 0. Calculate j.
-2
Solve -40/3*y**3 + 16/3*y - 16/3 + 28/3*y**2 + 4*y**4 = 0.
-2/3, 1, 2
Let k(d) be the third derivative of 3/40*d**6 + d**3 - 3/8*d**4 + 0 - 29*d**2 + 0*d - 1/10*d**5. Find b, given that k(b) = 0.
-1, 2/3, 1
Suppose 4*r + 8*p - 9*p + 20 = 0, 5*p - 12 = -2*r. Let l(v) = -v - 3. Let b be l(r). Find n, given that 1/2*n**2 + 1/2*n**4 + 3/2*n - b - 3/2*n**3 = 0.
-1, 1, 2
Let z(c) be the third derivative of c**7/210 - c**6/45 - c**5/30 + c**4/3 - 5*c**3/6 - 2*c**2. Let k(b) be the first derivative of z(b). Factor k(n).
4*(n - 2)*(n - 1)*(n + 1)
Let w = -10 + 11. Suppose 8 = o - 5*j - w, j + 9 = o. Factor o - l**3 - 9 - l**2 + 2*l.
-l*(l - 1)*(l + 2)
Let f(g) be the third derivative of g**5/15 - 5*g**4/2 - 152*g**3/3 + 637*g**2. Factor f(a).
4*(a - 19)*(a + 4)
Let y(p) be the first derivative of 0*p - 4/9*p**3 + 4/45*p**5 + 0*p**4 - 40 - 4/9*p**2. Let y(r) = 0. What is r?
-1, 0, 2
Let g be (2/7)/((-1)/(-14)). Suppose 7 - 23 = -g*d. Suppose 3*a**2 + 0*a**5 - 6*a**2 + 2*a**d + a - a**5 + a**2 = 0. What is a?
-1, 0, 1
Let r(s) = -s**5 - s**4 - 1. Let u(m) = 901*m**5 + 3361*m**4 + 2656*m**3 - 896*m**2 + 64*m + 1. Let l(x) = -r(x) - u(x). Find p such that l(p) = 0.
-2, 0, 2/15
Let y(l) be the first derivative of -l**5/80 + l**4/16 - l**3/12 - 8*l - 10. Let x(v) be the first derivative of y(v). Suppose x(h) = 0. What is h?
0, 1, 2
Let v be (-14)/(924/55)*9*4/(-6). Factor 0*r**2 + 4*r**4 + 12/5*r**3 + 0 + 0*r - 8/5*r**v.
-4*r**3*(r - 3)*(2*r + 1)/5
Let g(h) be the first derivative of -35 + 2/19*h + 2/19*h**2 + 2/57*h**3. Find y, given that g(y) = 0.
-1
Let r be 154/10 + (-2)/5. Suppose -5*o - r = -60. Let 10 + 11 + 3*c**2 - o - 12*c = 0. What is c?
2
Let s = -352 - -357. Let o(w) be the first derivative of -15/4*w**4 - 5 + 0*w - 9/5*w**s - 1/2*w**2 - 7/3*w**3. Find i such that o(i) = 0.
-1, -1/3, 0
Let p(v) be the first derivative of 2*v**4 - 2/5*v**5 - 10/3*v**3 + 2*v**2 + 0*v + 21. Factor p(f).
-2*f*(f - 2)*(f - 1)**2
Solve 56/5*r**2 - 8/5*r + 0 - 56/5*r**4 + 98/5*r**5 - 18*r**3 = 0 for r.
-1, 0, 2/7, 1
Suppose m - 131*d - 5 = -127*d, 0 = -2*m + d + 17. Factor 12 - m*p + 3/2*p**2.
3*(p - 4)*(p - 2)/2
Factor 201/5*l**2 - 3468/5 - 3/5*l**3 - 3264/5*l.
-3*(l - 34)**2*(l + 1)/5
Let j = -510 - -25501/50. Let w(b) be the third derivative of 1/300*b**6 - j*b**5 - 4*b**2 + 0*b**4 + 0 + 0*b + 0*b**3. Factor w(i).
2*i**2*(i - 3)/5
Let q = 574 + -571. Find w such that -q - 33/2*w**3 - 45/2*w - 36*w**2 = 0.
-1, -2/11
Let p(b) be the third derivative of -b**6/270 + 26*b**5/135 - 101*b**4/216 + 25*b**3/54 - 77*b**2. Factor p(v).
-(v - 25)*(2*v - 1)**2/9
Let h(c) be the first derivative of 3*c**5/5 - 3*c**4 - 2*c**3 + 18*c**2 + 27*c - 15. What is y in h(y) = 0?
-1, 3
Let x be 134 - (2/11 + (-3)/(-44)). Let y = x - 133. Factor y*u - 3/4*u**3 - 3/4 + 3/4*u**2.
-3*(u - 1)**2*(u + 1)/4
Let u(o) be the third derivative of 1/90*o**5 + 0*o + o**2 - 4 - 14/9*o**3 - 13/36*o**4. Factor u(b).
2*(b - 14)*(b + 1)/3
Factor 5 + 2 - 14*k**2 - 2*k + 2*k**3 + 6 + 7 - 6.
2*(k - 7)*(k - 1)*(k + 1)
Let z(g) = g**2 - 13*g + 24. Let m be z(11). Let l(y) be the first derivative of 0*y - 3 + y**3 - 3/5*y**5 + 3/2*y**m - 3/4*y**4. Solve l(a) = 0 for a.
-1, 0, 1
Suppose z + 2*x = 5*z - 8, 0 = -x. Let k be ((-1)/6)/((-3)/(-1755)*-13) + -7. Factor k - 1/2*o**z + 0*o.
-(o - 1)*(o + 1)/2
Let o(j) be the second derivative of 4*j**6/15 + j**5/2 - j**3 - 3*j**2 + 11*j. Let y(m) = m**4 + m**3 - m - 1. Let s(l) = -o(l) + 6*y(l). Factor s(x).
-2*x**3*(x + 2)
Let c(v) be the second derivative of -v**7/14 - 43*v**6/30 - 67*v**5/15 - 49*v**4/9 - 8*v**3/3 - 2*v - 55. Determine q so that c(q) = 0.
-12, -1, -2/3, 0
Let u = 2523 + -2519. Suppose 0 - 16/3*s - 14/3*s**u - 40/3*s**2 - 2/3*s**5 - 12*s**3 = 0. Calculate s.
-2, -1, 0
Let h(a) = -15*a**4 - 25*a**3 - 75*a**2 - 16*a. Let u(i) = 7*i**4 + 13*i**3 + 35*i**2 + 8*i. Let k(x) = 3*h(x) + 7*u(x). Factor k(p).
4*p*(p