15*s**5 + 1/18*s**4 + 1/9*s**6 + a*s**2 + 0*s**3 + 0. Solve f(j) = 0.
0, 1/2, 1
Let t(x) be the first derivative of -x**5/100 + 9*x**4/40 - 4*x**3/5 + 15*x**2/2 + 29. Let o(v) be the second derivative of t(v). Find h such that o(h) = 0.
1, 8
Let f(c) = c**2 - 15*c + 39. Let y be 150/12 - ((-21)/(-6) + -3). Let n be f(y). Factor 0*z**n + 0 + 1/7*z**2 - 1/7*z**4 + 0*z.
-z**2*(z - 1)*(z + 1)/7
Factor -5/2*c**3 + 55/2*c**2 + 0 - 25*c.
-5*c*(c - 10)*(c - 1)/2
Suppose -3*m - 180 = -9*m. Factor 5*h**3 - 55*h - 14*h**2 + m + 46*h**2 - 12*h**2.
5*(h - 1)**2*(h + 6)
What is d in 5*d**4 - 3*d**2 + 4*d**4 - 3*d**5 - 5*d**3 - 6*d**2 + 2*d**3 + 6*d = 0?
-1, 0, 1, 2
Let r(a) be the second derivative of 5/3*a**3 - 5/2*a**2 + 1/6*a**6 - 1/2*a**5 + 20*a + 0 + 0*a**4. Let r(t) = 0. Calculate t.
-1, 1
Let u(p) be the first derivative of 0*p**3 + 1/5*p**5 + 1/6*p**6 - 5 + 0*p - 1/2*p**4 + 0*p**2. Factor u(w).
w**3*(w - 1)*(w + 2)
Let d = -3213 + 6253/2. Let o = 88 + d. Factor 1 - 1/2*u**3 + 0*u**2 + o*u.
-(u - 2)*(u + 1)**2/2
Find v, given that -3*v**2 - 8218 - 6167*v + 6569*v - 5249 = 0.
67
Let l(j) = j**3 + j + 1. Let k(y) = -7*y**3 - 5*y**2 - 5*y - 3. Suppose -c + 26 = 4*c - 2*f, 8 = -c - 4*f. Let z(v) = c*l(v) + k(v). Factor z(q).
-(q + 1)**2*(3*q - 1)
Let f be (2 + (-15)/6)/((-4)/8). Let h be (4 + -6)/(f*-1). Solve 0*o + 0 + 12/5*o**h - 4/5*o**3 = 0 for o.
0, 3
Let d be 7 + -35*8/40. Factor 3/2*k + d - 3/2*k**2.
-3*k*(k - 1)/2
Let m be ((-6)/(-10))/(-2 - 22/(-10)). Let x(j) be the third derivative of 0*j**4 + 1/100*j**5 + 1/200*j**6 + 0 - 3*j**2 + 0*j + 0*j**m. Solve x(a) = 0.
-1, 0
Let q = -477/2 - -240. Suppose -1 = v - 3*v - c, -v = -5*c - 17. Factor q*x + 1 - x**v.
-(x - 2)*(2*x + 1)/2
Let q(l) be the second derivative of l**7/1680 - l**6/180 + l**5/48 - l**4/24 + 13*l**3/6 - 28*l. Let w(p) be the second derivative of q(p). Factor w(g).
(g - 2)*(g - 1)**2/2
Let j(l) be the first derivative of l**5/60 + l**4/12 + l**3/6 + 19*l**2/2 - 2. Let q(z) be the second derivative of j(z). Factor q(k).
(k + 1)**2
Let s be (-55)/11*(-276)/30. Let b(h) = -5*h + 5. Let g be b(-4). Let -15*t**2 - s*t - 13 - 3*t**3 + g*t + 4 = 0. Calculate t.
-3, -1
Let s(a) be the first derivative of a**5 + 35*a**4/4 + 55*a**3/3 + 25*a**2/2 + 308. Factor s(u).
5*u*(u + 1)**2*(u + 5)
Let i be 143/(-6) + 11/(-66). Let o = i + 28. Solve o - t - 16*t + 9*t + 4*t**2 = 0 for t.
1
Factor -248*x + 15*x**2 - 36125 + 7*x**2 - 602*x + 5*x**2 - 32*x**2.
-5*(x + 85)**2
Suppose 4*j + 5*h - 67 = 0, 4*j + 0*h - 76 = 4*h. Suppose 0 = 2*a - 5*v - 12, -a = 5*v + j - 9. Factor 1 - a - 3*s**3 + 3*s**2 + 0.
-3*s**2*(s - 1)
Suppose -m + 3 = 2*j, 3*j - 8*j - 4*m = 0. Determine p so that -9*p**2 + 3*p**j - 2 + 3*p - 67*p**3 + 8 + 64*p**3 = 0.
-1, 1, 2
Let f = 2 - -1. Let c be -4 + (18/(-33) - (5 + (-1170)/88)). Find o such that 21/4*o**2 + 3/4*o**5 + 0 + 27/4*o**f + 3/2*o + c*o**4 = 0.
-2, -1, 0
Suppose 0 = 3*m - 3*k - 24, 2*k - 4 = -2*m - 0*m. Suppose -y = r + 4, 2*r + 5*y = -25 + m. What is f in r*f + 1/4*f**3 + 1/2*f**4 + 0 - 1/4*f**2 = 0?
-1, 0, 1/2
Let h(o) be the third derivative of o**6/120 - 7*o**5/60 + o**4/2 - 123*o**2. Let h(j) = 0. Calculate j.
0, 3, 4
Let w(z) be the third derivative of z**8/28 + z**7/10 - 33*z**6/20 + 2*z**5/5 + 31*z**4/4 - 15*z**3/2 + 429*z**2. Find d, given that w(d) = 0.
-5, -1, 1/4, 1, 3
Let g be 0*1*(-3 - 7/(21/(-12))). Determine r so that -2/3*r**2 + 0*r + g - 1/3*r**3 = 0.
-2, 0
Suppose 4*n - 5*n - 3 = -2*p, 3*p - 6 = n. Factor -9*f + 9*f**2 - 2 + 3*f**p + 6*f - 10 + 3*f**2.
3*(f - 1)*(f + 1)*(f + 4)
What is v in 21/4*v + 9 + 3/4*v**2 = 0?
-4, -3
Let 0*t**2 - 98 - t**2 + 77 - 22*t = 0. Calculate t.
-21, -1
Factor -10952*z**3 + 16*z + 10948*z**3 - 32 - 3*z**4 - z**4 + 24*z**2.
-4*(z - 2)*(z - 1)*(z + 2)**2
Suppose -16*h = -15*h - 15. Let d = h - 12. Let -d*m**2 + 33 - 33 - m**3 = 0. Calculate m.
-3, 0
Determine k so that 65*k**3 - 4*k - 32*k**2 - 3*k - 9*k + 7*k**3 + 7*k**5 - 40*k**4 = 0.
-2/7, 0, 2
Let d(m) = -21*m**3 - 134*m**2 + 99*m + 38. Let u(y) = 125*y**3 + 805*y**2 - 595*y - 230. Let b(w) = -35*d(w) - 6*u(w). Find j, given that b(j) = 0.
-10, -1/3, 1
Let k(z) be the third derivative of z**6/40 + 3*z**5/10 - 15*z**4/8 + 4*z**3 - 409*z**2 - 2*z. Solve k(g) = 0.
-8, 1
Factor 16/3 - 1/3*w**3 + 14/3*w**2 + 31/3*w.
-(w - 16)*(w + 1)**2/3
Let l be 19712/4704 - 16/(-14). Suppose l + 24*c + 27*c**2 = 0. What is c?
-4/9
Suppose 5*y = 4*v + 100, -58 = -2*y - v - v. What is r in -y*r + 30*r**2 - 175*r**2 - 570*r**3 - 525*r**4 - 59*r**2 = 0?
-2/5, -2/7, 0
Let u(w) be the third derivative of -2*w**6/15 + 7*w**5/15 - w**4/3 - 2*w**3/3 - 74*w**2. Determine t, given that u(t) = 0.
-1/4, 1
Let o = 35 + -384/11. Let u = o - -4/77. Factor -1/7*l**4 - u + 0*l**3 + 0*l + 2/7*l**2.
-(l - 1)**2*(l + 1)**2/7
Let o(z) = 61*z - 20. Let n be o(-2). Let u = -275/2 - n. Factor -u + 3/2*v**2 + 3*v.
3*(v - 1)*(v + 3)/2
Let x(o) be the second derivative of -18*o + 0 + 1/20*o**4 - 3/50*o**5 + 1/5*o**3 + 0*o**2 - 1/50*o**6. Factor x(s).
-3*s*(s - 1)*(s + 1)*(s + 2)/5
Determine f, given that 2601/8 + 1/8*f**2 - 51/4*f = 0.
51
Let p(z) be the third derivative of z**5/15 - 7*z**4/3 + 26*z**3/3 + 528*z**2 - 2*z. Factor p(t).
4*(t - 13)*(t - 1)
Let y = -89 - -6. Let w = 83 + y. Factor -4/5*p**2 + 0*p**3 + w*p + 0 + 12/5*p**4 + 8/5*p**5.
4*p**2*(p + 1)**2*(2*p - 1)/5
Let g(x) = -x**5 + 5*x**4 - 3*x**3 - 10*x**2 - x. Let d(f) = 2*f**5 - 9*f**4 + 5*f**3 + 18*f**2 + 2*f. Let t(n) = -5*d(n) - 9*g(n). Factor t(s).
-s*(s - 1)**2*(s + 1)**2
Let q be (-5)/(-10) - 5/20*-1. Suppose -q*o**3 + 0 + 1/4*o**2 + 0*o = 0. What is o?
0, 1/3
Factor 2/9*c**3 + 0 - 2*c**2 - 20/9*c.
2*c*(c - 10)*(c + 1)/9
Determine y, given that -260/7 + 4/7*y**2 + 256/7*y = 0.
-65, 1
Solve -11/6*h**4 - 5/2*h**3 + 31/6*h**2 - 1/6*h**5 - 6 + 16/3*h = 0 for h.
-9, -2, 1
Let j(y) = y**3 - 9*y**2 + y - 7. Let c(h) = -h**2 - 7*h + 9. Let t be c(-7). Let i be j(t). Find g, given that 4*g**2 + i*g**2 - 3*g**2 - 7*g**4 + 4*g**4 = 0.
-1, 0, 1
Let k(b) be the second derivative of 1/33*b**3 + 3/11*b**2 - 16*b + 0 - 1/110*b**5 - 1/22*b**4. Factor k(v).
-2*(v - 1)*(v + 1)*(v + 3)/11
Let z be (60/14)/(12/84). Let a be z/75*(6 - 1). Suppose -12/5 - 3/5*p**a - 12/5*p = 0. Calculate p.
-2
Let c = -2/1489 + 4535/50626. Let u = 27/17 - c. Factor 9/2 - 3*r - u*r**2.
-3*(r - 1)*(r + 3)/2
Let k = 44 + -34. Let t = -10 + k. Factor 0 + 1/3*x**4 + t*x + 0*x**3 - 1/3*x**2.
x**2*(x - 1)*(x + 1)/3
Suppose 3*l - 14 = 25. Let q = -144 + 144. Factor -27*j + l*j**5 + 18*j**4 + q*j + 48*j**2 + 6 - 16*j**5 - 42*j**3.
-3*(j - 2)*(j - 1)**4
Let g(x) be the second derivative of -5*x**4/12 + 5*x**3/3 + 20*x**2 + 17*x + 14. Factor g(j).
-5*(j - 4)*(j + 2)
Factor 4 + 13/5*v**2 - 1/5*v**3 - 32/5*v.
-(v - 10)*(v - 2)*(v - 1)/5
Suppose x = l - x + 6, 5*x = l + 21. Suppose 3*z = 2*j + 8, j = -j + 2*z - l. Factor -5*k + 1 - 31*k**2 + j*k + k + 32*k**2.
(k - 1)**2
Let m be (1 + -22 + 21)*(0 + 1/(-4)). Factor -11/2*a**3 + m - 1/2*a**2 + 0*a.
-a**2*(11*a + 1)/2
Suppose -2/3*k**2 - 16/3 - 2/3*k**3 + 20/3*k = 0. Calculate k.
-4, 1, 2
Find i, given that 55112/7 + 2/7*i**2 - 664/7*i = 0.
166
Let r(x) = -20*x**5 + 7*x**4 - 5*x**3 - 9*x**2 - 9*x - 9. Let s(k) = -10*k**5 + 4*k**4 - 2*k**3 - 4*k**2 - 4*k - 4. Let u(q) = 4*r(q) - 9*s(q). Factor u(y).
2*y**3*(y - 1)*(5*y + 1)
Let a be (8/140)/((-1)/(-5)). Let f be ((-100)/(-1225)*(-10 - -3))/(4/(-2)). Determine o, given that -a*o**2 + 0*o + f = 0.
-1, 1
Let h = 14/9 + -103/72. Let o(f) = -f**2 - 47*f - 246. Let t be o(-6). Factor t - h*g + 1/8*g**2.
g*(g - 1)/8
Let i(h) be the second derivative of -4/17*h**2 + 1/102*h**4 + 4/51*h**3 + 13*h + 0 - 1/170*h**5. Factor i(a).
-2*(a - 2)*(a - 1)*(a + 2)/17
Suppose 0 = -3*b + 3*b + b. Let j(h) be the first derivative of 1/15*h**4 - 6 + 2/75*h**5 + b*h**2 + 0*h + 2/45*h**3. Factor j(v).
2*v**2*(v + 1)**2/15
Let f(r) = -r**3 - 29*r**2 - 36*r + 55. Let y be f(-28). Let j = y - 279. Factor -15/4*s**3 + 15/4*s - 5/4*s**4 + 5/4*s**2 + j.
-5*s*(s - 1)*(s + 1)*(s + 3)/4
Solve 37 - 5*t**2 - 4 + 19 + 9 - 11 - 123*t = 0.
-25, 2/5
Let a(l) be the first derivative of l**5/25 - l**4/2 + 23*l**3/15 - 7*l**2/5 + 798. Suppose a(y) = 0. Calculate y.
0, 1, 2, 7
Let p = -29 + 41. Factor -8*n - 32*n**3 + 20*n**2 + 27*n**3 - p*