 1121. Suppose -v*o + 175*o = 0. What is u in 3/4*u**3 + o - 3/2*u**2 + 3/4*u = 0?
0, 1
Let p = 112161 - 112158. Factor -7/2*x**4 + 0 - 13/2*x**2 + 13*x**p - 3*x.
-x*(x - 3)*(x - 1)*(7*x + 2)/2
Factor 32*v - 169177*v**2 + 169174*v**2 + 10*v + 621.
-3*(v - 23)*(v + 9)
Let u(s) be the third derivative of -s**8/4480 + s**7/140 + 11*s**4/8 + s**2 + 17. Let x(n) be the second derivative of u(n). Solve x(p) = 0.
0, 12
Let f(y) be the third derivative of y**6/1080 - y**5/120 - 5*y**4/36 + 5*y**3/6 - 18*y**2 + 2*y. Let a(i) be the first derivative of f(i). Factor a(h).
(h - 5)*(h + 2)/3
Factor 0 + 102*z + 20*z**2 + 1/2*z**3.
z*(z + 6)*(z + 34)/2
Let p = -239 + 122. Let k = 119 + p. Factor -2*h**4 + 0*h**4 - h**3 - 3*h + k*h**2 + 5*h - h.
-h*(h - 1)*(h + 1)*(2*h + 1)
Let c be 60/140*9/27. Let a(d) be the first derivative of 42 + 0*d - 2/7*d**3 + c*d**2. Solve a(h) = 0 for h.
0, 1/3
Find d such that -32*d - 568/3*d**3 + 0 - 12*d**5 + 100*d**4 + 400/3*d**2 = 0.
0, 2/3, 1, 6
Suppose 2*v - 38 + 34 = 0. Suppose 5*q + 23 = -v*z + z, 4*z + 12 = -4*q. Factor 1/2*f + 0 + 1/8*f**z.
f*(f + 4)/8
Let t be (-261)/783*9/(-12). Determine o, given that 1/8*o**4 + 0*o**2 - 1/8 + 1/4*o - t*o**3 = 0.
-1, 1
Let s be (-9*5/90)/((-2)/(-16)). Let u be (-2)/s + (-39)/130. Factor 2/5*y + y**2 + 4/5*y**3 + u*y**4 + 0.
y*(y + 1)**2*(y + 2)/5
Find j, given that 24/23*j + 0 - 2/23*j**2 = 0.
0, 12
Let a(h) = -h**3 + 2. Let z(i) = -3*i**3 + 8*i**2 - 53*i - 52. Let v(c) = -4*a(c) + z(c). Factor v(y).
(y - 5)*(y + 1)*(y + 12)
Let z(d) be the second derivative of 1/35*d**7 + 2/15*d**6 + 34 + 6/5*d**2 - 4*d - 8/15*d**4 - 1/15*d**3 - 1/25*d**5. Suppose z(q) = 0. Calculate q.
-3, -1, 2/3, 1
Suppose 6 = 5*x - 4, 5 = h + x. Let y(a) be the first derivative of h*a**2 - 3*a**3 + 3/5*a**5 + 0*a**4 - 26 + 0*a. Find c, given that y(c) = 0.
-2, 0, 1
Let a(c) = 2*c**4 + c**3 - c - 4. Let m(y) = 22*y**4 - 314*y**3 - 860*y**2 + 884*y + 266. Let z(g) = a(g) - m(g). Let z(k) = 0. Calculate k.
-3, -1/4, 1, 18
Let o(j) = 21*j - 102 + 13*j - 33*j + 2*j**2. Let n be o(7). Let 0 + 7/3*w**2 + w**n + 2/3*w = 0. What is w?
-2, -1/3, 0
Let s(o) be the third derivative of -5*o**8/448 - 73*o**7/840 - 11*o**6/48 - 11*o**5/60 + o**4/12 + 117*o**2 + 1. Determine p, given that s(p) = 0.
-2, -1, 0, 2/15
Let g = 389/1818 + -16/101. Let w(p) be the first derivative of 0*p**4 - 4/9*p**3 + g*p**6 + 0*p**2 + 1/5*p**5 - 3 + 0*p. Find u such that w(u) = 0.
-2, 0, 1
Suppose 0*q - 162 = -6*q. Let s = q + -24. Find x, given that 10*x**2 - 6*x - s*x**2 + 3 + 0*x**2 - 4*x**2 = 0.
1
Let g(v) be the second derivative of -3*v**5/80 + 107*v**4/16 - 211*v**3/8 + 315*v**2/8 + 1333*v. Factor g(n).
-3*(n - 105)*(n - 1)**2/4
Let o be (-5)/4*270/(-4725)*12. Factor o*h**2 - 10/7*h + 4/7.
2*(h - 1)*(3*h - 2)/7
Let h(v) = -6*v**3 - 17*v**2 + 24*v + 53. Let u = -96 - -91. Let m(g) = 3*g**3 + 9*g**2 - 12*g - 27. Let k(n) = u*m(n) - 3*h(n). Factor k(x).
3*(x - 2)*(x + 2)**2
Let h(b) be the first derivative of -b**4 + 136*b**3/3 - 626*b**2 + 3360*b - 10573. Let h(l) = 0. What is l?
5, 8, 21
Let d be ((-140)/(-16))/(117/(-104)). Let s = d + 76/9. Factor 10/3*o - s*o**2 - 2 - 2/3*o**3.
-2*(o - 1)**2*(o + 3)/3
What is v in -1635/2*v + 0 - 1370*v**2 - 25/2*v**3 = 0?
-109, -3/5, 0
Factor 221778/11 + 2/11*n**2 + 1332/11*n.
2*(n + 333)**2/11
Suppose 3*f + 10 = 2*k, 4*k = -f + 2 + 4. Determine l, given that l**5 - 3*l + 110 + 3*l**4 + 0*l - 111 - k*l**2 + 2*l**3 = 0.
-1, 1
Suppose 4*f - 3*g - 52 = 0, 2*f - 9*g - 24 = -7*g. Factor -o**4 + 19 - f*o - 11 + 8 + 4*o**3.
-(o - 2)**3*(o + 2)
Let n(g) be the third derivative of 11*g**8/336 + 2*g**7/35 + g**6/120 + 2238*g**2 - 2*g. Factor n(c).
c**3*(c + 1)*(11*c + 1)
Let b(q) be the first derivative of q**6/6 - 129*q**5/5 + 3819*q**4/4 + 22445*q**3/3 + 2831. Factor b(v).
v**2*(v - 67)**2*(v + 5)
Let q = -36481 + 36503. Let p(o) be the first derivative of -q + 3/7*o**2 - 1/7*o**3 + 24/7*o. Determine h so that p(h) = 0.
-2, 4
Factor -2*x**2 - 42960 + 127*x - 23*x + 42058.
-2*(x - 41)*(x - 11)
Let p(k) = 2*k**2 - 28*k - 128. Let q be p(18). Let j(x) be the second derivative of 1/12*x**4 - q*x + 0*x**2 - 1/6*x**3 + 0. Let j(a) = 0. What is a?
0, 1
Factor -2/7*d**2 - 236*d - 48734.
-2*(d + 413)**2/7
Solve 1/5*p**2 + 3 - 8/5*p = 0 for p.
3, 5
Suppose 0 = 2*y - y - 2*u - 264, -2*u - 1304 = -5*y. Let m = y + -1816/7. Factor -6/7*o**3 + 2/7*o**4 + m*o**2 + 0*o + 0.
2*o**2*(o - 2)*(o - 1)/7
Let u be 84/(-420) + 5387/9435. Let j = -2/111 + u. Factor j*c + 0 + 2/17*c**2.
2*c*(c + 3)/17
Suppose 0 = -q - 4*i + 20, -6*q = -2*q + 4*i - 20. Let -544*x + q + 3921*x**2 + 2151*x**2 - 21160*x**3 + 16 - 12167*x**4 = 0. What is x?
-2, 2/23
Let q(c) be the first derivative of -c**5/40 - c**4/4 + 3*c**3/4 + 7*c**2/2 + 140*c + 5. Let x(h) be the first derivative of q(h). Suppose x(t) = 0. What is t?
-7, -1, 2
Let b(a) be the first derivative of a**3/2 + 783*a**2 + 408726*a - 952. Factor b(w).
3*(w + 522)**2/2
Let f be (-32)/((-12)/3)*(-18 - 19/(-1)). Factor f*v - 4/5*v**2 - 2/5*v**3 - 48/5.
-2*(v - 2)**2*(v + 6)/5
Let 5*l**3 - 164*l**2 + 60*l**2 - 1805*l - 56*l**2 - 1070 - 570 = 0. What is l?
-8, -1, 41
Let t = 127082 - 639283/5. Let l = t + 775. Factor -14/5*s + l*s**2 + 12/5.
2*(s - 6)*(s - 1)/5
Suppose -2*j = -10, -5*j - 2 = -2*g - 45. Let s(n) = 3*n + 27. Let h be s(g). Let -6/13*o - 2/13*o**2 + h = 0. What is o?
-3, 0
Factor -24 - 70522306*a**2 + 70522305*a**2 + 2*a**3 - a**3 - 26*a.
(a - 6)*(a + 1)*(a + 4)
Let y(j) = -7*j - 10. Let u be y(-2). Suppose -3*k + 13 = u. Suppose -4*x**4 + x**3 - 2*x**5 + 0*x**5 - k*x**3 = 0. Calculate x.
-1, 0
Let l(c) be the second derivative of 2 - 2/15*c**3 + 1/100*c**5 + 1/150*c**6 - 1/15*c**4 + 0*c**2 - 47*c. Solve l(t) = 0.
-2, -1, 0, 2
Suppose 2245*z = 2231*z + 42. Let f(y) be the first derivative of 11 + 2/27*y**z + 1/18*y**2 + 0*y. Solve f(u) = 0.
-1/2, 0
Let c(j) = -5*j + 1. Let d(k) = 2*k + 1. Let q(h) = c(h) + 2*d(h). Let a be q(3). Find f, given that -6 - 4 - f**2 + a*f**2 + 0 + 11*f = 0.
1, 10
Let k be (-944)/28 + 6/(-21). Let c = k + 36. Find i, given that 10 + 8*i + 18*i**2 - 58*i**2 + 4*i**3 + 18*i**c = 0.
-1/2, 1, 5
Let n(l) be the second derivative of l**6/18 + 11*l**5/12 + 25*l**4/12 - 875*l**3/18 - 1250*l**2/3 - 14*l + 28. Solve n(d) = 0.
-5, 4
Let r(m) be the third derivative of m**2 + 8/15*m**5 + 13/6*m**4 + 0*m + 4*m**3 + 1/30*m**6 + 111. Determine k so that r(k) = 0.
-6, -1
Determine c, given that 3*c**2 + 132*c - 35510 + 35510 + 8952*c = 0.
-3028, 0
Let w(y) be the first derivative of -5/4*y - 51 - 1/24*y**3 - 7/16*y**2. Factor w(z).
-(z + 2)*(z + 5)/8
Let a = 2326301/4 + -581575. Factor -3/4*q**3 + 0 - 1/4*q**5 + a*q**2 + 3/4*q**4 + 0*q.
-q**2*(q - 1)**3/4
Let l(g) be the third derivative of g**5/80 - 171*g**4/32 + 167*g**3/2 + 101*g**2 + 10*g + 1. Factor l(t).
3*(t - 167)*(t - 4)/4
Let j(x) be the second derivative of -17/10*x**5 + 1/10*x**6 + 25*x + 6*x**2 + 253/36*x**4 + 0 + 34/3*x**3. Factor j(w).
(w - 6)**2*(3*w + 1)**2/3
Let y be (-6)/4 + 10/6 - 5790/(-900). Factor 81/5*c**2 + 24/5 + 3/5*c**4 + 15*c + y*c**3.
3*(c + 1)**3*(c + 8)/5
Let s(g) be the third derivative of 0 + 0*g - 112*g**2 + 0*g**4 + 1/120*g**6 + 0*g**5 + 1/630*g**7 + 0*g**3. Factor s(o).
o**3*(o + 3)/3
Let l(x) be the first derivative of -360*x - 10*x**3 - 90*x**2 - 24 - 5/12*x**4. Factor l(r).
-5*(r + 6)**3/3
Let -2/5*b**4 + 114/5*b**2 - 160*b - 896/5 + 16/5*b**3 = 0. Calculate b.
-7, -1, 8
Let v(y) be the first derivative of -y**6/30 + y**5/15 + y**4/6 - 2*y**3/3 + 48*y**2 + 2*y - 80. Let p(f) be the second derivative of v(f). Factor p(n).
-4*(n - 1)**2*(n + 1)
Let k = -53/100 - -93/100. Let w(d) be the first derivative of 4*d**3 - 4*d**2 - 16*d + 5/2*d**4 + k*d**5 + 8. Factor w(g).
2*(g - 1)*(g + 2)**3
Let l(n) = 3566*n - 152726. Let c be l(45). Factor 7496192/3 + c*p**2 + 681472/3*p + 2/3*p**4 + 352/3*p**3.
2*(p + 44)**4/3
Suppose -2*r - 4 = -4*o, -57 = -2*r - o - 56. Let j(h) = 3*h - 24. Let v be j(9). Determine y, given that -2/5*y**2 + 0*y + r - 1/5*y**4 - 3/5*y**v = 0.
-2, -1, 0
What is z in 2142*z**4 - 2147*z**4 - 260*z**2 - 240*z**3 + 10*z + 20*z**5 + 70*z = 0?
-2, 0, 1/4, 4
Let -279 + 419*i - 561/4*i**2 + 1/4*i**3 = 0. What is i?
1, 2, 558
Let f be (-15)/((-6)/378*1). Let u = -943 + f. Suppo