 - i**2 + i - 2. Let y(w) = k(w) + 18*z(w). Determine n, given that y(n) = 0.
-15, -3/2, 1
Let g = -71 - -81. Suppose -2*p = 2*p - 16. Suppose -g*u**2 + 0*u**2 + p*u**2 + 4*u + 2*u**2 - u**5 + 4*u**4 - 3*u**3 = 0. Calculate u.
-1, 0, 1, 2
Suppose 2*z + 4 = -4*b + 8, 3*z + 5*b - 6 = 0. Factor 12*u**z + 6*u**4 - 32*u**2 + 6*u**3 - 4*u**4.
2*u**2*(u - 2)*(u + 5)
Let d(j) = j**2 + 193*j - 533. Let r(w) = -2*w**2 - 194*w + 534. Let f(k) = 6*d(k) + 5*r(k). Factor f(u).
-4*(u - 44)*(u - 3)
Let t = -1661/140 + 2291/140. Factor -15/2*n**2 + 0 - t*n - 3/2*n**3 + 3/2*n**4.
3*n*(n - 3)*(n + 1)**2/2
Let f(j) be the first derivative of 49/3*j**2 - 1/9*j**3 - 2401/3*j + 131. Let f(r) = 0. Calculate r.
49
Let r = 527/3945 - 1/3945. Let s(a) be the first derivative of 18 - 4/5*a**2 + 6/5*a + r*a**3. Solve s(c) = 0 for c.
1, 3
Let w(h) = 596*h**3 + 13078*h**2 + 7326*h + 1038. Let s(i) = 600*i**3 + 13079*i**2 + 7325*i + 1037. Let m(k) = -2*s(k) + 3*w(k). Find p, given that m(p) = 0.
-65/3, -2/7
Let i be 16/2 + (-10)/2. Factor n + 2526*n**3 + 2*n - 2 - 2527*n**i.
-(n - 1)**2*(n + 2)
Find m such that -45*m - 49/4*m**2 + 0 - 1/4*m**3 = 0.
-45, -4, 0
Solve 36*l + 2/7*l**4 + 16/7*l**3 - 150/7*l**2 + 0 = 0.
-14, 0, 3
Let l = 1278 - 1246. Let a = l - 30. Determine s, given that 5/3*s**3 + 0*s**4 - 5/3*s**5 + 0 + 0*s**a + 0*s = 0.
-1, 0, 1
Let k(v) be the second derivative of -v**4/18 - 8*v**3/9 - 16*v**2/3 + 758*v. Find g, given that k(g) = 0.
-4
Let c(x) be the first derivative of -4*x**5/5 + 163*x**4 + 4*x**3 - 974*x**2 - 1304*x + 1126. Suppose c(l) = 0. Calculate l.
-1, 2, 163
Let j(w) be the third derivative of -w**8/1848 + 2*w**7/165 - w**6/20 - 8*w**5/33 + 25*w**4/33 - 52*w**2 - 23*w. Suppose j(q) = 0. Calculate q.
-2, 0, 1, 5, 10
Let r(v) = v**3 + 6*v**2 - 6*v + 17. Let p be r(-7). Let z(t) = 4*t - 38. Let w be z(p). Suppose -24*i - 6*i**2 + 0 + 30 + w*i**2 - 2 = 0. What is i?
-7, 1
Let m(u) = -40*u**3 + 18032*u**2 + 18076*u + 4500. Let o(t) = 13*t**3 - 6010*t**2 - 6025*t - 1499. Let g(q) = 3*m(q) + 8*o(q). Find w, given that g(w) = 0.
-1/2, 377
Let g = -42841 - -42843. What is d in 0 - 1/6*d**5 + 0*d**g - 1/6*d + 0*d**4 + 1/3*d**3 = 0?
-1, 0, 1
Factor -1104*u**5 + 543*u**5 - 579*u**2 - 264*u**3 + 558*u**5 + 72*u**4 - 2352*u - 1437*u**2.
-3*u*(u - 14)**2*(u + 2)**2
Let c(w) be the first derivative of 112*w**3/3 + 66*w**2 + 20*w + 4208. Let c(u) = 0. Calculate u.
-1, -5/28
Let v = 159643/2743 - 2/13715. Let y = v + -55. Suppose 0 - 4/5*x**2 - y*x = 0. What is x?
-4, 0
Let h(i) be the third derivative of i**7/70 - 27*i**6/40 + 193*i**5/20 - 117*i**4/8 - 169*i**3 - 1406*i**2. Factor h(w).
3*(w - 13)**2*(w - 2)*(w + 1)
Let l(r) be the second derivative of -8/21*r**3 - 4/35*r**6 + 2*r - 5 + 0*r**2 - 4/7*r**4 - 13/35*r**5 - 2/147*r**7. Solve l(y) = 0 for y.
-2, -1, 0
Let v = 1166426/162005 + 2/32401. Find a, given that 1/5*a**3 + 0*a + 0 + v*a**2 = 0.
-36, 0
Suppose -698*y = -703*y + 10. Suppose -5*h + 13 = -y*v + 11, 22 = h + 5*v. Factor -250 - 15/2*f**h + 1/4*f**3 + 75*f.
(f - 10)**3/4
Suppose 5/4*c**3 + 335/4*c**2 - 685/4*c + 345/4 = 0. Calculate c.
-69, 1
Let t(g) be the first derivative of -235/6*g**2 - 48 - 70/3*g + 35/9*g**3. Factor t(d).
5*(d - 7)*(7*d + 2)/3
Let s(i) be the third derivative of -8*i**7/105 + 11*i**6/30 + 7*i**5/30 - i**4/4 - 90*i**2 + 3. Find j such that s(j) = 0.
-1/2, 0, 1/4, 3
What is i in -13/2*i + 14 - 1/4*i**2 = 0?
-28, 2
Suppose 0 + 0*f + 2/7*f**3 - 482/7*f**2 = 0. What is f?
0, 241
Let i(z) = -z**2 - z + 18. Let g(k) = 12*k**2 - 12*k - 252. Let s(v) = -g(v) - 9*i(v). Factor s(u).
-3*(u - 10)*(u + 3)
Factor 156/7*o + 328/7 - 4/7*o**2.
-4*(o - 41)*(o + 2)/7
Let y(m) be the first derivative of 2*m**5/5 - 151*m**4/2 + 198*m**3 + 151*m**2 - 596*m - 2461. Let y(w) = 0. What is w?
-1, 1, 2, 149
Suppose 613 = -125*k + 308*k + 64. Let g(b) be the third derivative of 0*b - 1/33*b**k - 1/660*b**6 + 1/330*b**5 + 0 + 33*b**2 + 1/132*b**4. Factor g(d).
-2*(d - 1)**2*(d + 1)/11
Let w(a) = -5*a**3 + 8*a**2 + 19*a + 6. Let b(j) = 209*j - 354*j - 10*j**3 + 183*j + 16*j**2 + 12. Let o(x) = 4*b(x) - 9*w(x). Solve o(p) = 0.
-1, -2/5, 3
Let l(f) be the first derivative of -6*f**4 + 0*f**2 + 152 - 1/3*f**6 + 16/3*f**3 + 12/5*f**5 + 0*f. Factor l(r).
-2*r**2*(r - 2)**3
Let k be (2/(-3))/(3*(-34)/2295). Let p(x) be the third derivative of 1/120*x**6 + 0 - 1/20*x**5 + 0*x**3 + 0*x**4 - k*x**2 + 0*x. Suppose p(i) = 0. What is i?
0, 3
Let n = -20378 + 142658/7. Suppose -12/7*p**2 + 20/7*p**3 + 0 - 4/7*p**5 - 16/7*p + n*p**4 = 0. Calculate p.
-1, 0, 1, 4
Let q = -4332 + 4337. Let w(t) be the first derivative of -8/3*t**3 - 2/3*t**6 + 0*t**2 + 3*t**4 + 3 + 0*t + 0*t**q. Determine v, given that w(v) = 0.
-2, 0, 1
Let j(i) be the third derivative of -i**7/672 - i**6/2880 + 24*i**3 + 107*i**2. Let c(k) be the first derivative of j(k). Factor c(z).
-z**2*(10*z + 1)/8
Factor 2359*n + 59 - 28 + 227 - 2232*n + n**3 - 130*n**2.
(n - 129)*(n - 2)*(n + 1)
Suppose -51820266*r**2 + 3*r**4 + 810 - 53*r + 15*r**3 + 51820185*r**2 - 190*r = 0. Calculate r.
-6, -5, 3
Solve 36/7*y - 8 - 4/7*y**2 = 0.
2, 7
Suppose 0 = -5*r + 3*t + 15, 11*r - 9*r - 6 = 3*t. Suppose -458*i**r - 6 + 3*i**2 + 12*i**2 + 3*i + 455*i**3 - 9*i**4 = 0. Calculate i.
-1, 2/3, 1
Let x(j) be the first derivative of -j**2 + 2*j + 41. Let a be x(-1). Find b such that -2 + 0*b**4 + 20*b - 10*b**3 - 15*b**2 + b**4 + 22 + 4*b**a = 0.
-1, 2
Let r(y) = 6*y**3 + 1176*y**2 + 10*y - 1072. Let x(o) = -o**3 - 14*o**2 - o + 1. Let l(h) = -r(h) - 8*x(h). Let l(a) = 0. What is a?
-1, 1, 532
Let a be (6 + -11)/(940/(-40) + 21). Suppose 1/5*z**3 - 1 - 3/5*z**a - 9/5*z = 0. Calculate z.
-1, 5
Let -2/3*b**4 - 1246/3*b**2 - 42*b**3 + 0 - 374*b = 0. What is b?
-51, -11, -1, 0
Let r = -7313/280 + 183/7. Let o(m) be the third derivative of -7/80*m**6 + 0*m**3 + 4*m**2 + 0*m + 0 + r*m**5 + 1/14*m**8 + 2/35*m**7 + 0*m**4. Factor o(s).
3*s**2*(s + 1)*(4*s - 1)**2/2
Let z(k) be the third derivative of -k**5/120 + 3*k**4/8 - 6*k**3 - 5517*k**2. Find c such that z(c) = 0.
6, 12
Factor 0*z - 2/5*z**4 + 34/5*z**3 + 0*z**2 + 0.
-2*z**3*(z - 17)/5
Let k be 4674/2214 - (10/(-234) + (-4)/(-26)). What is z in -578/7 - 68/7*z - 2/7*z**k = 0?
-17
Suppose -2*k + 52*o = 47*o - 6, k - 2*o = 2. Let b be -3 - (-174)/36 - (-1)/k. Factor 2*a**2 + b*a + 0 + 2/3*a**3.
2*a*(a + 1)*(a + 2)/3
Let n(s) be the first derivative of -14/33*s**3 + 0*s**2 - 3 + 0*s - 1/22*s**4. Solve n(u) = 0.
-7, 0
Let s = -12122/7 + 149516/63. Let p = 642 - s. Factor -4/3*u + 4/9 + 4/3*u**2 - p*u**3.
-4*(u - 1)**3/9
Let j(z) be the second derivative of z**4/66 + 10*z**3/11 + 125*z**2/11 + 3*z - 127. Factor j(b).
2*(b + 5)*(b + 25)/11
Let n(q) be the first derivative of 5*q**6/12 - 3*q**5/2 - 15*q**4/4 + 25*q**3/3 + 105*q**2/4 + 45*q/2 + 3892. Factor n(c).
5*(c - 3)**2*(c + 1)**3/2
Let m = -49 + 46. Let j be 1*(m/2)/(21/(-56)). Factor -474*y**3 + 42*y**2 - 250*y**j - 58*y + 91*y**2 + 137*y**2 + 4 + 124*y**3.
-2*(y + 2)*(5*y - 1)**3
Let y = 82 + -5. Determine c, given that 8*c + 73 - 6 + y + 4*c**2 - 56*c = 0.
6
Let n(x) = -x**3 + 2*x**2 - 2*x - 3. Let u(d) = d**3 + 5*d**2 + 62*d + 38. Let o(f) = -30*n(f) - 3*u(f). Determine a, given that o(a) = 0.
-1, -2/9, 4
Let b(x) = -15*x - 3. Let l be b(0). Let k(p) = -15*p**2 - 91*p + 7. Let j(t) = -6*t**2 - 45*t + 3. Let h(w) = l*k(w) + 7*j(w). Suppose h(s) = 0. What is s?
0, 14
Let g(m) = -m**4 - 517*m**3 + 2155*m**2 - 2711*m + 1082. Let r(f) = f**4 + 1032*f**3 - 4310*f**2 + 5421*f - 2162. Let b(j) = -9*g(j) - 4*r(j). Factor b(i).
5*(i - 2)*(i - 1)**2*(i + 109)
Determine u, given that -49*u**2 - 1890 - 106*u + 3*u**3 + 13*u**2 - 1744*u - 132*u**2 + 557*u = 0.
-5, -2, 63
Suppose 217 = 11*g + 63. Suppose -16*y + 9*y = -g. Factor 105*u**3 + 75*u - 170*u**y - 6 + 3 - 7.
5*(u - 1)*(3*u - 1)*(7*u - 2)
Let v be ((-8)/(-6))/(10 + 0). Let d be 18/2430*-10 - (5838/(-810) + 7). Factor -2/15*s**4 - 2/15*s**3 + 0*s + v*s**5 + 0 + d*s**2.
2*s**2*(s - 1)**2*(s + 1)/15
Let 183/4 + 1/4*q**2 + 46*q = 0. What is q?
-183, -1
Let b be (-2)/(1 - 9/6). Let c(d) be the first derivative of 0*d**2 + 3/7*d**b + 0*d - 4 + 16/21*d**3 - 4/35*d**5. Let c(k) = 0. What is k?
-1, 0, 4
Let l(p) = p**3 + 458*p**2 + 457*p + 7. Let w(z) = -305*z**2 - 305*z - 5. Let v(s) = 5*l