b**3 + b**2 - 2385. Factor t(v).
-v*(v - 2)*(7*v + 2)/2
Let n be 15/(-2*(-99)/22) + 8/6. Factor 4/9*v**2 - 4/9 - 2/9*v**n + 2/9*v.
-2*(v - 2)*(v - 1)*(v + 1)/9
Let c(k) be the second derivative of k**5/20 + 7*k**4/12 - k**3/6 - 7*k**2/2 - 23*k + 22. Determine f, given that c(f) = 0.
-7, -1, 1
Let x(g) be the second derivative of g**5/20 + 55*g**4/12 + 69*g**3/2 + 153*g**2/2 + 4*g - 134. Factor x(w).
(w + 1)*(w + 3)*(w + 51)
Let c(m) be the third derivative of m**8/1512 - 11*m**7/945 + 2*m**6/135 + 2*m**5/27 - 7178*m**2. Solve c(l) = 0.
-1, 0, 2, 10
Let g(r) be the second derivative of -11 - 1/18*r**4 + 11/3*r**2 + 10/9*r**3 - 5*r. Suppose g(w) = 0. What is w?
-1, 11
Let k = 256 + -261. Let f(h) = -4*h**2 + 120*h + 100. Let y(o) = o**2 - 24*o - 20. Let m(l) = k*f(l) - 24*y(l). Factor m(w).
-4*(w + 1)*(w + 5)
Let h(g) be the third derivative of g**7/70 + 9*g**6/20 + 21*g**5/20 - 83*g**4/2 + 210*g**3 + 2251*g**2. Factor h(u).
3*(u - 2)**2*(u + 7)*(u + 15)
Suppose 2*z + 5*h = -393, 29 = z + 2*h + 228. Let o = 213 + z. Suppose 0 - 123/2*b**o + 75/4*b**3 - 3*b + 135/4*b**5 + 12*b**2 = 0. What is b?
-2/5, 0, 2/9, 1
What is m in 3*m**4 + 44*m**3 + 5160*m - 15*m**3 + 3600 - 11*m**3 + 56*m**3 + 1689*m**2 + 58*m**3 = 0?
-20, -3, -1
Let h = 28 - 83/3. Let a = -807768 + 807770. Find s, given that -4/3 + 4/3*s - h*s**a = 0.
2
Let n = 56/1615 - -3733712/4845. What is k in 2/3*k**3 - n + 816*k - 46*k**2 = 0?
1, 34
Suppose -208*r = -105*r - 108*r + 60, -2*r = 5*h - 44. Solve -30/7*q**3 - 48/7*q**2 + 0*q - 3/7*q**h + 0 = 0.
-8, -2, 0
Suppose 10074/5*x**2 - 42632/5*x + 144/5*x**3 + 0 + 1/10*x**4 = 0. Calculate x.
-146, 0, 4
Let p(k) = -498*k**2 - 476*k - 14. Let b(i) = -500*i**2 - 462*i - 16. Let z(v) = -4*b(v) + 6*p(v). Factor z(l).
-4*(l + 1)*(247*l + 5)
Let i be 4/(-4)*(1 + 0) - -5. Suppose -29 = -i*d + v, 0 = -d - 57*v + 53*v + 20. Let -d - 1/2*u**2 - 4*u = 0. What is u?
-4
Suppose 0 = -29*z + 25*z. Let v(i) be the first derivative of -1/2*i**4 + i**2 + z*i**3 + 13 - i + 1/5*i**5. Determine y, given that v(y) = 0.
-1, 1
Let o(t) be the second derivative of -2*t**7/21 + 142*t**6/5 - 3474*t**5 + 223326*t**4 - 8051022*t**3 + 163340226*t**2 - 4*t + 656. Solve o(p) = 0 for p.
21, 57
Let t(i) be the first derivative of 3*i**4/16 - 65*i**3/4 - 399*i**2/8 - 201*i/4 - 1594. Factor t(w).
3*(w - 67)*(w + 1)**2/4
Suppose 0 = 4*g - 4*o + 4, 7*g + 1 = 3*g + 3*o. Factor -2/3*h**4 + 0*h**3 + 16/3*h + 4*h**2 + g.
-2*(h - 3)*(h + 1)**3/3
Let s = -2422 + 290641/120. Let a(l) be the third derivative of -7/24*l**4 + 49/12*l**3 + s*l**5 + 4*l**2 + 0 + 0*l. Factor a(k).
(k - 7)**2/2
Let p(a) = -3*a**3 - 11*a**2 + 19*a - 3. Let k be p(-5). What is i in 6*i**3 - 4*i**3 - 5537*i**k - 4*i**3 - 1250*i + 5437*i**2 = 0?
-25, 0
Let o(c) be the second derivative of 24*c**7/77 - 26*c**6/55 + c**5/55 + 3*c**4/44 - c**3/66 + 28*c + 20. Suppose o(k) = 0. What is k?
-1/4, 0, 1/6, 1
Let x be (6/4*-6)/(30/(-40)). Let v be ((-12)/9)/((-80)/x + 6). Solve 4/15 + 8/15*q**v + 2/15*q**3 + 2/3*q = 0.
-2, -1
Let i(s) = 625*s**3 - 1243*s**2 + 711*s - 3. Let v(l) = 1876*l**3 - 3728*l**2 + 2148*l - 8. Let k(t) = 16*i(t) - 5*v(t). Factor k(d).
4*(d - 1)**2*(155*d - 2)
Let u(o) = 4*o**4 + 64*o - 65*o - 6*o**4. Let g(m) = -21*m**4 + 18*m**3 + 93*m**2 + 69*m - 192. Let s(b) = -2*g(b) + 22*u(b). Factor s(v).
-2*(v - 1)*(v + 3)*(v + 8)**2
Let n be ((-72)/16 - 3)*-4*1. Let g be (-16)/(-7) - n/105. Find z, given that 7*z**5 - g*z**4 + 2*z**2 - 3*z**5 - 3*z**5 - z = 0.
-1, 0, 1
Let w = 74673/7 - 10667. Find t, given that w*t + 1/7*t**2 + 3/7 = 0.
-3, -1
Suppose -3*h + 6592*o = 6595*o, -5*h + 3*o = -32. Suppose 8/3*p**3 - 8/3*p - 2/3*p**2 + 2/3*p**h + 0 = 0. Calculate p.
-4, -1, 0, 1
Let m(s) be the second derivative of 84*s + 0*s**3 + 11/27*s**4 + 0 + 0*s**2 - 1/45*s**5. Factor m(v).
-4*v**2*(v - 11)/9
Suppose 31*r - 12 = -4*a + 28*r, 0 = 2*a + 5*r - 6. Factor -3*i + 1/2*i**4 + 3*i**a - 5/2 + 2*i**2.
(i - 1)*(i + 1)**2*(i + 5)/2
Let b(s) be the first derivative of 3*s**5/5 - 57*s**4/4 - 41*s**3 - 63*s**2/2 + 9767. Factor b(z).
3*z*(z - 21)*(z + 1)**2
Let w = 3014 + -3010. Let r(z) be the first derivative of 0*z**2 + w - 4/5*z**5 + 4/3*z**3 + 2/3*z**6 + 0*z - z**4. Let r(x) = 0. What is x?
-1, 0, 1
Let h(i) be the first derivative of 2*i**3/3 - 1085*i**2 - 1719. What is l in h(l) = 0?
0, 1085
Let g(y) = 2*y**3 - 2*y**2 - 2*y + 1. Let u(q) = 20*q**3 + 36*q**2 + 264*q - 1284. Let j(k) = -12*g(k) + u(k). Factor j(z).
-4*(z - 18)*(z - 3)*(z + 6)
Let m(i) be the second derivative of -3*i**5/140 + 159*i**4/28 + 23*i**3 + 500*i. Factor m(v).
-3*v*(v - 161)*(v + 2)/7
Let j(h) be the second derivative of h**4/60 + 801*h**3/10 + 1201*h**2/5 + 10590*h. What is x in j(x) = 0?
-2402, -1
Let u(n) = -38*n**3 - 2*n**2 + 1. Let p be u(-1). Let g = p - 34. Find f such that -4*f**2 + 16*f + 13 - g*f**2 + 3 + 11*f**2 = 0.
-2
Suppose 18*m**3 - 12*m**3 - 37*m**2 - 20*m**4 + 23*m**4 - 27*m**2 + 19*m**2 = 0. Calculate m.
-5, 0, 3
Let u(t) = -2*t**2 + 16*t + 6. Let q be (-3 + 10/4)*-1*12. Let p(a) = -2 + 0 + 6 - 5 + a. Let s(b) = q*p(b) - u(b). Factor s(x).
2*(x - 6)*(x + 1)
Let x(k) = 14*k + 73. Let u be x(-5). Factor 186*q**u - 8*q + q**4 - 4 + 180*q**3 - q**5 - q**2 - 361*q**3.
-(q - 2)**2*(q + 1)**3
Solve -154*k - 61 + 249 + 190 + 15*k**2 - 51 - 188*k = 0 for k.
1, 109/5
Factor -644*o + 2924*o - 694*o**2 - 196010 - 2*o**4 + 72*o**3 + 194354.
-2*(o - 23)*(o - 6)**2*(o - 1)
Suppose 37162 = -23*f - 24639. Let v = -2683 - f. What is j in -12/5*j**v + 0 + 9/5*j**3 + 12/5*j**2 - 12/5*j + 3/5*j**5 = 0?
-1, 0, 1, 2
Let y(z) = 33*z**3 + 5*z**2 - 6*z. Let h be y(1). Let g be 16*(-4 + 134/h). Factor 39/7*p**g + 9/7*p**2 + 0 + 12/7*p**4 + 0*p.
3*p**2*(p + 3)*(4*p + 1)/7
Let i = 5 - 7. Let k = i + 5. Factor 0*z**3 + 48*z - 4*z**3 + 3*z**2 + 5*z**k + 64 + 9*z**2.
(z + 4)**3
Let p(b) = -b**2 + 4*b + 1. Let i(a) = 8*a**2 - 790*a + 1518. Let g(t) = -i(t) - 6*p(t). Let g(w) = 0. What is w?
2, 381
Let p(i) be the third derivative of i**7/1995 - 11*i**6/1140 + 16*i**5/285 - i**4/57 - 16*i**3/19 + 3*i**2 + 213*i. Find a, given that p(a) = 0.
-1, 2, 4, 6
Let r(l) be the second derivative of -l**5/150 + 37*l**4/30 - 6373*l. Factor r(t).
-2*t**2*(t - 111)/15
Let n(o) be the third derivative of o**7/420 + o**6/48 - 13*o**5/120 + 7*o**4/48 + 2203*o**2. Factor n(l).
l*(l - 1)**2*(l + 7)/2
Let q = -1277809/3 + 425948. Determine m so that -17/3*m**4 + 0 + 13*m**3 + 2/3*m**5 + 11/3*m - q*m**2 = 0.
0, 1, 11/2
Let k = -21860 + 21862. Let f(v) be the first derivative of -30 + 3/14*v**k + 1/7*v**3 + 0*v. Solve f(r) = 0 for r.
-1, 0
Let x(o) be the second derivative of -5*o**4/12 - 40*o**3 + 765*o**2/2 - 96*o - 3. Factor x(g).
-5*(g - 3)*(g + 51)
Let x(p) be the second derivative of 2*p**6/15 + 14*p**5/5 - 16*p**4/3 - 28*p**3/3 + 30*p**2 - 1524*p. Suppose x(a) = 0. Calculate a.
-15, -1, 1
Let r(m) be the second derivative of 2*m**6/15 - 7*m**5/5 - 13*m**4 + 190*m**3/3 - 100*m**2 - 4*m. Factor r(c).
4*(c - 10)*(c - 1)**2*(c + 5)
Let r(y) be the third derivative of 104*y**2 - 1/10*y**4 - 1/150*y**5 - 1/525*y**7 + 0*y + 0*y**3 + 1/75*y**6 + 0. Let r(j) = 0. Calculate j.
-1, 0, 2, 3
Suppose -59*x = -71*x + 3900. Let s = x + -323. Determine g, given that 0*g + 5/3*g**s - 5/3 = 0.
-1, 1
Let g be 126/7 + (-23 - 90/(-18)). Factor -3/2*c**3 + 0*c + g + 24*c**2.
-3*c**2*(c - 16)/2
Suppose 5*f - 29 = -14. Factor 8*y**3 - f*y**3 + 1805 + 14*y**2 + 85*y**2 + 1995*y + 96*y**2.
5*(y + 1)*(y + 19)**2
Factor -86*w**2 + 0 + 116*w - 119/4*w**3 - 1/4*w**4.
-w*(w - 1)*(w + 4)*(w + 116)/4
Let o(s) be the first derivative of -2*s**3 - 2991*s**2/2 - 1494*s + 1950. Solve o(n) = 0.
-498, -1/2
Let a(g) be the second derivative of -g**5/40 - 5*g**4/12 - 19*g**3/12 + 15*g**2/2 + 3226*g. Let a(l) = 0. Calculate l.
-6, -5, 1
Let 34*h**3 + 528*h + 445*h**2 - 31*h**3 + 43*h**2 + 43*h**2 = 0. What is h?
-176, -1, 0
Suppose -10*n - 134 = -54. Let p be n/(-2) - -5 - -3. Factor -p*x**2 - 14*x**2 + 30*x**2 - 16.
4*(x - 2)*(x + 2)
Let q(l) be the third derivative of l**7/70 - 231*l**6/40 - 237*l**5/20 + 1163*l**4/8 - 348*l**3 - 92*l**2 + 8*l. Solve q(x) = 0.
-3, 1, 232
Let h(n) be the first derivative of -4*n**3/3 + 1220*n**2 - 372100*n - 869. Factor h(l).
-4*(l - 305)**2
Suppose 24 = 4*m - 3*d, -5*m - d 