9*n. What is s in u(s) = 0?
-332, -4, 0
Let o be -5 - (-5 - (3 - 3)). Suppose -5*k = -o*r - r + 3, k - 6 = -2*r. Factor 4*z**r - 48*z**2 + 11*z + 5*z - 32*z + 12*z**4.
4*z*(z - 2)*(z + 2)*(3*z + 1)
Let d be 4/(-18) - 2/(-6). Let m be (-36)/90*(-7 - (1330/(-90) + 10)). Factor -m*t**3 + 0*t + 0 + d*t**4 + 7/9*t**2.
t**2*(t - 7)*(t - 1)/9
Let n = 5668808/13 - 436060. Determine l, given that 30/13*l + n + 2/13*l**2 = 0.
-14, -1
Let q = -8 - -12. Suppose 1576*k - 1068 = 128 + 1956. Determine j so that -2*j + 2/3*j**q - 2/3*j**2 + k*j**3 + 0 = 0.
-3, -1, 0, 1
Let y(f) be the first derivative of -5*f**4/4 + 140*f**3/3 - 125*f**2/2 - 270*f - 450. Factor y(x).
-5*(x - 27)*(x - 2)*(x + 1)
Let i(q) = -9*q + 11. Let v be i(1). Factor 768 - 36*h**2 - 353*h + 608*h**3 - 511*h + 135*h**v - 611*h**3.
-3*(h - 16)**2*(h - 1)
Let k(a) = 3*a**3 - 395*a**2 - 120*a - 1582. Let z be k(132). Factor -v**3 + v + 1/4*v**4 - 3/4 + 1/2*v**z.
(v - 3)*(v - 1)**2*(v + 1)/4
Let j = -184423/6 - -30738. Let -j*r**2 - 1/6*r**3 + 5/6 + 1/6*r = 0. What is r?
-5, -1, 1
Let a be (8*1)/(-1)*(-2583)/30996*(-6)/(-26). Factor 0 + 16/13*n + a*n**2.
2*n*(n + 8)/13
Suppose 0 = 4*z + 4*c + 1160, -286 = z - 5*c + 7*c. Let a = -292 - z. Factor -9/2*p**3 - 21/4*p**2 - a*p - 1/4.
-(2*p + 1)*(3*p + 1)**2/4
Suppose -160*i - 1440 = -169*i. Solve -i*n**2 + 10 + 3 + 2*n**3 - 22 + 9 = 0 for n.
0, 80
Suppose 1632/5*s**2 - 84/5*s + 0 + 117/5*s**3 = 0. Calculate s.
-14, 0, 2/39
Suppose 0 = 646*x - 663*x + 34. Let g(h) be the third derivative of -1/27*h**3 + 0 + 1/270*h**5 + 0*h**4 - 5*h**x + 0*h. Find d, given that g(d) = 0.
-1, 1
Let z be 12/(-9)*(-1)/15*(43/2 - 17). Factor 348/5*n + z*n**2 + 15138/5.
2*(n + 87)**2/5
Let p = 18703 - 280489/15. Let 648/5*v + 2/15*v**4 + 36*v**2 + p*v**3 + 486/5 = 0. What is v?
-9, -1
Suppose -2012 + 3783 = -96*m + 1963. Suppose 0*g - g = -2. Solve g + 1/3*f**m - 7/3*f = 0.
1, 6
Let s(g) = -3*g - 40. Let i be s(-14). Solve -30*c**2 + 18*c**i + 6*c**4 + 0*c**4 - 3*c**4 = 0 for c.
-2, 0, 2
Suppose -3/5*b**2 - 1284/5 + 1287/5*b = 0. What is b?
1, 428
Let a(s) be the third derivative of 0 + 1/42*s**7 - 540*s**3 + 0*s + 9/2*s**5 + 73*s**2 + 45/2*s**4 - 5/8*s**6. Suppose a(g) = 0. What is g?
-3, 6
Let d(t) be the first derivative of -t**4/46 - 26*t**3/23 + 14*t**2 + 907. Factor d(u).
-2*u*(u - 7)*(u + 46)/23
Let z(j) be the second derivative of -j**4/8 - 93*j**3 - 3321*j**2/4 + j + 2393. Factor z(l).
-3*(l + 3)*(l + 369)/2
Let a(c) be the first derivative of c**3/3 - 914*c**2 + 835396*c - 776. Determine w, given that a(w) = 0.
914
Let y(a) = 15*a**3 + 75*a**2 + 66*a - 192. Let x(d) = -58*d**3 - 301*d**2 - 265*d + 762. Let f(i) = -6*x(i) - 23*y(i). Solve f(t) = 0.
-26, -2, 1
Let a(i) be the third derivative of i**5/24 + 545*i**4/24 + i**2 + 986*i. Factor a(x).
5*x*(x + 218)/2
Let m(q) be the third derivative of -3*q**2 + 1682*q**4 + 1/30*q**6 + 0 + 390224/3*q**3 + 0*q + 58/5*q**5. Factor m(h).
4*(h + 58)**3
Let r(t) be the second derivative of -t**7/350 - t**6/200 + t**5/100 + t**4/40 - 41*t**2/2 - 16*t - 2. Let s(h) be the first derivative of r(h). Factor s(o).
-3*o*(o - 1)*(o + 1)**2/5
Let l(s) be the second derivative of s**4/36 - 17*s**3/6 + 115*s**2/3 + 47*s. Determine u so that l(u) = 0.
5, 46
Suppose -2*c - 38 = 2*a, -3*c + 2*a = 2*c + 88. Let i = 23 + c. Suppose -5 - 4 + 4 - 15*q + 15*q**4 + 10*q**3 + i*q**5 - 10*q**2 = 0. What is q?
-1, 1
Let d be 40 + -38 + (1 - 1). Factor -1926*b + b**2 + 1928*b + 12 - 3*b**d.
-2*(b - 3)*(b + 2)
Let q(g) be the second derivative of g**5/10 + 25*g**4/6 - 113*g**3/3 + 87*g**2 + 9560*g. Determine o, given that q(o) = 0.
-29, 1, 3
Let d(y) = 2*y**3 + 3*y**2 + 161*y + 328. Let b be d(-2). Solve -16/7 + 2*z**b + 2/7*z = 0 for z.
-8/7, 1
Let h(n) be the third derivative of -82*n**2 - 5/6*n**4 + 0*n**3 + 0*n - 2/105*n**7 + 0 + 1/15*n**5 + 1/6*n**6. Factor h(r).
-4*r*(r - 5)*(r - 1)*(r + 1)
Let g = 47901/10 - 4790. Let s(c) be the third derivative of -2/15*c**3 - 11/300*c**5 + 0 - 5*c**2 - 1/200*c**6 - g*c**4 + 0*c. Factor s(a).
-(a + 1)*(a + 2)*(3*a + 2)/5
Let x(l) be the second derivative of -13/33*l**3 - 2/165*l**6 + 1/33*l**4 + 7/110*l**5 - 6/11*l**2 + 0 + 29*l. Solve x(b) = 0 for b.
-1, -1/2, 2, 3
Let d(r) be the third derivative of 1 + 1/6*r**5 + 0*r**3 - 1/21*r**7 - 5/336*r**8 + 22*r**2 + 0*r**6 + 0*r + 5/24*r**4. Factor d(x).
-5*x*(x - 1)*(x + 1)**3
Let z(y) be the third derivative of -1/9*y**3 - 1/315*y**7 + 0*y + 1/72*y**4 + 23*y**2 + 0 - 1/180*y**6 + 1/45*y**5 + 1/1008*y**8. Find h, given that z(h) = 0.
-1, 1, 2
Let y(p) be the first derivative of 3*p**3 + 243/5*p + 107 - 3/20*p**4 - 189/10*p**2. Find c, given that y(c) = 0.
3, 9
Let h(s) = 7*s + 68. Let o be h(-9). Suppose -r - 7 = -o*y, 0*y - 13 = -5*y - r. Let -2/7*i**y + 0*i + 8/7 = 0. What is i?
-2, 2
Suppose 0 = -16*b + 4*b - 24. Let r be 1/(63/(-14))*b. Find y such that 2/9*y**2 + 0 + r*y - 2/9*y**3 = 0.
-1, 0, 2
Suppose -2 + 28/3*g**2 + 22/3*g = 0. What is g?
-1, 3/14
Let o(z) be the second derivative of z**7/14 + 8*z**6/5 + 54*z**5/5 + 11*z**4/2 - 329*z**3/2 - 441*z**2 - 3568*z - 1. What is c in o(c) = 0?
-7, -3, -1, 2
Let o = -1807/3 - -48187/80. Let r(w) be the third derivative of 0*w + 1/16*w**4 + o*w**5 + 5/24*w**3 + 17*w**2 + 0. Factor r(b).
(b + 1)*(b + 5)/4
Determine j, given that -1536/5 + 2312/5*j - 156*j**2 + 4/5*j**3 = 0.
1, 2, 192
Let b be -2 - (-2)/3*(-210)/(-35). Factor 0*l**b + 8/5*l**3 + 0 + 4/5*l**4 + 0*l.
4*l**3*(l + 2)/5
Let y(i) be the first derivative of -i**6/36 - 7*i**5/3 - 611*i**4/12 + 104*i**3/9 + 3535*i**2/12 - 1225*i/3 - 308. What is g in y(g) = 0?
-35, -2, 1
Suppose -14065*d - 291571 + 2*d**5 + 94*d**4 + 7436*d**2 - 39*d**3 + 1547*d**3 - 16693*d + 5961 = 0. What is d?
-13, 5
Factor -38/5*d**2 - 128/5*d - 88/5 + 2/5*d**3.
2*(d - 22)*(d + 1)*(d + 2)/5
Let b = 9415/4 + -2342. Determine t so that 5/2 - 5*t**4 + b*t + 16*t**2 + 11/4*t**3 - t**5 = 0.
-5, -1, -1/2, 2
Let f(r) = r**3 - r**2 + r - 1. Let o = -2 - 4. Let h(i) = -8*i**3 + 2*i**2 + 6. Let b = -4011 - -4010. Let c(u) = b*h(u) + o*f(u). Factor c(w).
2*w*(w - 1)*(w + 3)
Factor 0 + 5/6*m**4 + 28/3*m - 142/3*m**3 + 223/6*m**2.
m*(m - 56)*(m - 1)*(5*m + 1)/6
Let r(w) be the second derivative of -w**6/70 - 3*w**5/35 + 11*w**4/4 + 162*w**3/7 + 486*w**2/7 + 15*w + 5. Solve r(d) = 0.
-9, -2, 9
Let j = 103559/14 - 7397. Let s(l) be the first derivative of 0*l + 1/42*l**6 + 0*l**3 + 0*l**5 + 19 - 1/14*l**4 + j*l**2. Determine x, given that s(x) = 0.
-1, 0, 1
Let k = 42 - 53. Let x = k - -13. Find j, given that -26 + 15*j + 51 - 7 - 3*j**x = 0.
-1, 6
Let w(g) be the first derivative of g**5/5 + g**4/3 - 4*g**3/3 + 62*g - 5. Let x(n) be the first derivative of w(n). Factor x(l).
4*l*(l - 1)*(l + 2)
Let m be (336/12 - 22)*4/(36/(-32) + 2). Factor 48/7*u**3 - 4*u**4 + 64/7*u**2 + m + 4/7*u**5 - 256/7*u.
4*(u - 3)*(u - 2)**3*(u + 2)/7
Let w be 85/(-17) - (-1 - 346). Factor -3*r**4 + 354*r**3 - w*r**3 - 8*r**2 - r**4.
-4*r**2*(r - 2)*(r - 1)
Determine z, given that 72*z - 39*z - 2*z**3 + 5*z**2 - 35*z - z**2 = 0.
0, 1
Let y(b) be the third derivative of -b**5/300 + b**4/12 + 4*b**3/5 + 110*b**2. Factor y(k).
-(k - 12)*(k + 2)/5
Let d(q) be the second derivative of -q**5/90 + 31*q**3/27 - 10*q**2/3 + 1178*q. Factor d(c).
-2*(c - 5)*(c - 1)*(c + 6)/9
Let m be 1 + -2 + (-30)/(-18). Suppose -103*j = -54 - 152. Find g such that -m*g**j + 8*g - 24 = 0.
6
Let p(q) be the first derivative of q**5/35 + 37*q**4/28 - 4*q**3/21 - 74*q**2/7 + 5609. Factor p(y).
y*(y - 2)*(y + 2)*(y + 37)/7
Let c(u) = u**2 - 3*u + 3. Let h be c(3). Let i = 44119/2 + -22059. Factor -9/4*p**h - p + 0 + i*p**4 + 3*p**2.
p*(p - 2)**2*(2*p - 1)/4
Let y = -18037 - -306719/17. Solve -y*r**3 + 0 - 8/17*r**5 + 56/17*r**4 - 56/17*r**2 + 98/17*r = 0.
-1, 0, 1, 7/2
What is a in 159/2*a + 3/2*a**2 + 225 = 0?
-50, -3
Solve 34/3*z**2 - 10/3*z**4 - 8 - 8/3*z + 8/3*z**3 = 0.
-6/5, -1, 1, 2
Let j(z) be the first derivative of 9/4*z**4 - 147 - 1/10*z**5 + 0*z**2 + 0*z - 27/2*z**3. Solve j(s) = 0.
0, 9
Let i = 124 - 121. Suppose -1048*j**4 + 5*j**5 + j**2 - 100*j + 1003*j**4 - 16*j**2 - 4 + 64 + 95*j**i = 0. Calculate j.
-1, 1, 2, 6
Determine d so that 1008 - 15840*d**2 + d**3 + 3*d**3 - 12589 + 1487 - 5754 - 31692*d = 0.
-1, 3962
Suppose 87021/4*j + 8