 0 for z.
-1, 0
Factor 8/3*w + 4/3*w**2 - 4.
4*(w - 1)*(w + 3)/3
Let k(o) be the first derivative of 5/3*o**3 + 5 - 3*o + 0*o**2. Let d(v) = -v**2 + 1. Let i(c) = -3*d(c) - k(c). Suppose i(j) = 0. Calculate j.
0
Let t(q) be the first derivative of -13*q**6/60 - 11*q**5/40 + q**4/12 - 42*q + 52. Let x(m) be the first derivative of t(m). Factor x(j).
-j**2*(j + 1)*(13*j - 2)/2
Suppose 0 = -2*c + 4*t - 8, 2*c + 2*t - 10 = -3*t. Suppose a = -1, -2*f + 4*a + 4 = -c*a. Suppose 3*y**2 + f*y - 4/3 - y**4 - 2/3*y**3 = 0. Calculate y.
-2, -2/3, 1
Let x(v) = 3*v**2 + 44*v - 13. Let w be x(-15). Let r(d) be the second derivative of 0 - 1/30*d**3 + 0*d**w - 8*d + 1/60*d**4. Factor r(c).
c*(c - 1)/5
Let j(k) be the second derivative of k**5/130 + 2*k**4/39 - 5*k**3/39 + 23*k - 1. Factor j(l).
2*l*(l - 1)*(l + 5)/13
Factor -1/5*r**3 + 11543176/5 - 153228/5*r + 678/5*r**2.
-(r - 226)**3/5
Factor 1/8*x - 1/4 + 1/8*x**2.
(x - 1)*(x + 2)/8
Factor -4/3*p**2 + 0 + 4/3*p + 1/3*p**3.
p*(p - 2)**2/3
Let f be 170/(-153)*(-1 + -1)*3 + -5. Factor 4/3*n - f + 1/3*n**2.
(n - 1)*(n + 5)/3
Let o(y) be the third derivative of -y**10/15120 + y**9/3780 - 7*y**4/12 - 7*y**2. Let r(i) be the second derivative of o(i). Factor r(v).
-2*v**4*(v - 2)
Let s(q) be the second derivative of q**5/10 - 7*q**4/6 - q**3/3 + 7*q**2 + 71*q. Find k such that s(k) = 0.
-1, 1, 7
Let j(d) be the second derivative of d**5/80 - 5*d**4/48 - 7*d**3/12 - 22*d + 2. What is u in j(u) = 0?
-2, 0, 7
Let p be (-60)/110 - (-144)/(-99) - (-5 - 0). Suppose -3/4 - 3/4*h**p - 9/4*h - 9/4*h**2 = 0. Calculate h.
-1
Let m(w) = -w - 13. Let c be m(-14). Let y be c + 0 + 3 - 2. Find z such that -12*z**y + 3 + 25*z**4 + 4*z**3 - 4*z + 5 - 21*z**4 = 0.
-2, -1, 1
Let q = 8859/40 + -2211/10. Find r, given that 9/2*r - 9/2*r**3 + 3/2 + q*r**2 - 15/8*r**4 = 0.
-2, -1, -2/5, 1
Let y(o) be the third derivative of o**6/1380 - 13*o**5/690 + 4*o**2 + 2. Factor y(u).
2*u**2*(u - 13)/23
Suppose 0 = -16*l + 58 + 22. Let i(q) be the first derivative of 9/8*q**4 + 9/20*q**l + 5/4*q**3 - 1 + 9/16*q**2 + 1/16*q**6 + 0*q. Factor i(r).
3*r*(r + 1)**3*(r + 3)/8
Let j = -33 + 38. Factor j*r - 311*r**2 + 2 + 3 + 306*r**2 - 5*r**3.
-5*(r - 1)*(r + 1)**2
Factor 18/5*d + 4/5 + 8/5*d**2.
2*(d + 2)*(4*d + 1)/5
Let z = -91 - -91. Find l, given that -28*l**3 + z*l**3 + 3*l**3 - 21*l + l + 5*l**4 + 40*l**2 = 0.
0, 1, 2
Solve -1728*f**2 + 32 - 31*f + 119*f + 1748*f**2 = 0.
-4, -2/5
Suppose -9*n - 1 = -12*n - 5*h, -2*n - 2*h + 2 = 0. Factor -8/11*m + 10/11 - 2/11*m**n.
-2*(m - 1)*(m + 5)/11
Let d(w) = -3*w**2 - 51*w - 18. Let m(g) = -2*g - 3. Let y(c) = -d(c) + 6*m(c). Factor y(j).
3*j*(j + 13)
Let r(n) be the first derivative of 0*n + 8 + 16/85*n**5 + 0*n**2 + 5/17*n**4 + 2/17*n**3. Determine q so that r(q) = 0.
-3/4, -1/2, 0
Let a(s) be the third derivative of s**5/12 - 5*s**4 + 120*s**3 - 6*s**2. Solve a(b) = 0.
12
Factor -20/3 + 34/3*g - 2*g**2.
-2*(g - 5)*(3*g - 2)/3
Suppose 5*k - 34 = 36. Suppose -10 = -0*c - c - 4*l, -5*c - 2*l + k = 0. Find w, given that -1/3*w**4 + 7/3*w - 3*w**c - 2/3 + 5/3*w**3 = 0.
1, 2
Let f(r) be the first derivative of 75*r**4/28 + 90*r**3 - 774*r**2/7 + 312*r/7 - 16. Factor f(v).
3*(v + 26)*(5*v - 2)**2/7
Find r such that -189*r**4 - 21*r**2 + 8*r**3 + 193*r**4 - 12*r**3 - 27*r**2 = 0.
-3, 0, 4
Let x = -139 - -133. Let k be (2/(9/(81/x)))/(-1). Solve 16/11 + 12/11*m**2 + 2/11*m**k + 24/11*m = 0.
-2
Let a(w) be the second derivative of 2*w**6/15 - w**5/5 - 71*w. Determine g, given that a(g) = 0.
0, 1
Let o(c) = -9*c + 14. Let v be o(-15). Let b = v + -593/4. Factor 5/4*u**2 - 1/4*u**3 - 7/4*u + b.
-(u - 3)*(u - 1)**2/4
Let y(o) be the first derivative of o**5/55 + o**4/22 - 4*o**3/33 - o**2/11 + 3*o/11 - 197. Determine j so that y(j) = 0.
-3, -1, 1
Solve 22*m**5 + 4*m**4 + 31*m**5 + 0*m**4 + 10*m**4 - 24*m**2 - 51*m**5 + 8*m**3 = 0.
-6, -2, 0, 1
Let u(n) be the first derivative of n**6/18 - n**5/15 - n**4/3 + 4*n**3/9 - 283. Factor u(g).
g**2*(g - 2)*(g - 1)*(g + 2)/3
Let t(p) = -32*p**2 + 26*p - 2. Let l(b) = -33*b**2 + 23*b - 2. Let d(v) = 2*l(v) - 3*t(v). Factor d(h).
2*(h - 1)*(15*h - 1)
Let l(b) be the first derivative of 95*b**6/2 - 996*b**5/5 + 291*b**4/4 + 128*b**3 + 18*b**2 - 16. Solve l(g) = 0 for g.
-2/5, -2/19, 0, 1, 3
Let y(m) be the first derivative of m**4/4 + 20*m**3/3 - 21*m**2/2 + 3*m - 46. Let j be y(-21). Determine g so that 3/2*g + 3/2*g**3 + 0 + j*g**2 = 0.
-1, 0
Let a(t) = 37*t**2 + 27*t - 28. Let y(v) = -12*v**2 + v - 1. Let c(d) = -a(d) - 3*y(d). Factor c(z).
-(z - 1)*(z + 31)
Let d(q) be the third derivative of -q**7/840 + q**6/80 + q**5/10 - 5*q**4/24 - 6*q**2. Let x(k) be the second derivative of d(k). Solve x(w) = 0 for w.
-1, 4
Suppose 185*a - o + 5 = 189*a, 0 = 2*a + o - 5. Solve -5*n**4 + 0 + 10/3*n**5 + a*n**3 + 0*n + 5/3*n**2 = 0.
-1/2, 0, 1
Factor 1/2*k**2 - 12 - k.
(k - 6)*(k + 4)/2
Let v = -49/3 + 17. Factor -2/3*s**2 - v - 4/3*s.
-2*(s + 1)**2/3
Suppose 490/3*p + 343/3 + 1/3*p**4 + 22/3*p**3 + 56*p**2 = 0. Calculate p.
-7, -1
Let a(t) be the third derivative of t**5/20 - 35*t**4/16 + 87*t**3/4 - 4*t**2 - 20*t. Factor a(l).
3*(l - 3)*(2*l - 29)/2
Let u = 0 + 4. Let z be 7 - (-8 + u)/(-1). Find y, given that -2/3*y**z + 0 + 4/3*y - 2/3*y**2 = 0.
-2, 0, 1
Suppose -3*c + i = -2*i - 15, -2*i - 14 = -4*c. Factor 0*s**c + 10 - 13*s - 13 - 4*s**2.
-(s + 3)*(4*s + 1)
Let h(b) be the third derivative of -1/15*b**5 + 19*b**2 + 2/105*b**7 + 1/168*b**8 + 0*b**4 + 0*b**3 + 0*b + 0 - 1/60*b**6. What is o in h(o) = 0?
-2, -1, 0, 1
Let q(l) = -3*l**4 + 4*l**3 + 13*l**2 - 8*l - 6. Let g(y) = y**4 - 2*y**3 + 2*y**2 - 1. Let t(o) = 2*g(o) - q(o). Let t(p) = 0. What is p?
-1, -2/5, 1, 2
Suppose -2*i - 4 = r + 1, -2*r = 3*i + 6. Suppose 2*j = -u - 2*u + r, -4*u = -5*j - 27. Factor 1/3*m**4 + 0 + 1/3*m**u - 1/3*m - 1/3*m**2.
m*(m - 1)*(m + 1)**2/3
Let d(m) be the second derivative of -m**5/30 + 5*m**4/18 + 13*m**3/9 + 7*m**2/3 - 461*m. Let d(f) = 0. Calculate f.
-1, 7
Suppose -4*a - 2*i = -16, -2*a = -4*i - 3 + 15. Suppose 2*u - 7*u = a*u. Find s, given that 1/4 + u*s - 1/4*s**2 = 0.
-1, 1
Let f(o) = -6*o**3 + 9*o**2 - 4*o + 3. Let m be (-343)/28 + (-1)/(-4). Let r(p) = -p**3 - p**2 + p - 1. Let n(l) = m*r(l) - 4*f(l). Solve n(c) = 0 for c.
0, 1/3
Factor 44/3*r - 7/3*r**2 - 4.
-(r - 6)*(7*r - 2)/3
Let d be (9 + -7)/(((-20)/6)/(-5)). Factor -d*i**4 + 7*i + 175*i**2 + 12*i**3 - i - 190*i**2.
-3*i*(i - 2)*(i - 1)**2
Let m = -9 + 12. Suppose -q + m = 1. Factor 0*z + 0*z**5 + 3*z + 3*z**5 + 12*z**q + 18*z**3 + 12*z**4.
3*z*(z + 1)**4
Let x(f) be the second derivative of f**6/30 + f**5/10 - 11*f**4/12 - 2*f**3 + 18*f**2 + 29*f - 2. Factor x(h).
(h - 2)**2*(h + 3)**2
Let f(l) be the third derivative of 0 - 9*l**2 - 1/15*l**5 + 2*l**3 - 1/3*l**4 + 0*l. Suppose f(x) = 0. Calculate x.
-3, 1
Let n be 7 - ((10 - 2) + -1). Find j such that n*j - 1/6*j**4 - 1/3*j**2 + 0 - 1/2*j**3 = 0.
-2, -1, 0
Determine w so that -32 - 1/2*w**5 + 6*w**4 - 47/2*w**3 + 26*w**2 + 24*w = 0.
-1, 1, 4
Let m be 4/(-16)*-8 - (0 - 0). Let 16 - m*a**2 - 7 - 7 = 0. Calculate a.
-1, 1
Let h(z) be the third derivative of z**9/756 + z**8/420 - z**7/105 + 11*z**3/6 - 2*z**2. Let c(k) be the first derivative of h(k). Factor c(b).
4*b**3*(b - 1)*(b + 2)
Let h(f) be the first derivative of 2*f**2 + 2*f**3 - 15 - 5/2*f**4 + 0*f. Find a, given that h(a) = 0.
-2/5, 0, 1
Factor -1/5*f**3 + 0*f + 0 - 8/5*f**2.
-f**2*(f + 8)/5
Suppose -5*m = -5*g - 35, -4*m + 5 = 2*g + 1. Let b = 89 - 87. Factor -2/9*z**m - 2/9*z**b + 2/9*z + 2/9.
-2*(z - 1)*(z + 1)**2/9
Let m(x) = 3*x**5 + 15*x**4 + 7*x**3 - 15*x**2 - 10*x - 2. Let p(r) = r**5 - r**3 + 1. Let w(v) = -m(v) - 2*p(v). Determine c, given that w(c) = 0.
-2, -1, 0, 1
Suppose -5*s = -h - 0*s + 224, -h - 3*s = -192. Factor -p**4 - p - 4 + 2 - 201*p**2 + h*p**2 + p**3.
-(p - 2)*(p - 1)*(p + 1)**2
Suppose 3*d + 23 = 2*g, 7*d - 4*d - 3*g = -27. Let x(a) = -a**3 + a + 4. Let i(b) = 3*b**3 - b**2 - 3*b - 9. Let l(k) = d*x(k) - 2*i(k). Factor l(c).
-(c - 2)*(c - 1)*(c + 1)
Let j(f) be the first derivative of -f**3 + 3*f**2/2 - 17. Suppose j(b) = 0. Calculate b.
0, 1
Let h(a) be the second derivative of -a**7/126 + a**6/18 + a**5/60 - 41*a**4/36 + 4*a**3 - 6*a**2 - 323*a. Let h(g) = 0. What is g?
-3, 1, 2, 3
Let 