11349. Let d = 2/1261 - i. Solve d*z - 2/9*z**2 + 2/3 = 0 for z.
-1, 3
Let x = 63 - 61. Let i be x/(-1) - (-15 - -10). Factor -70*q**2 + 19 + 96*q - 7*q**4 + 30 - 17 - 51*q**i.
-(q - 1)*(q + 4)**2*(7*q + 2)
Let b be 35*-25*(-36)/3150. Let d(r) be the first derivative of 8*r**2 + 10/3*r**3 + 1/2*r**4 + 8*r + b. Factor d(t).
2*(t + 1)*(t + 2)**2
Let d(r) be the first derivative of -r**6/2 - 6*r**5/5 + 3*r**4/2 + 8*r**3 + 21*r**2/2 + 6*r + 3960. Solve d(u) = 0 for u.
-1, 2
Suppose -40 = 2*c - 7*c + 5*s, 4*c = -s + 47. Let x be (4 + (4 - c))*-7. Suppose x*r**4 + 6*r**2 - 7*r**4 + 6*r**3 - 12*r**4 + 2*r = 0. Calculate r.
-1, 0
Let u be (-36222)/(-18) + (-28)/12. Let d = u + -2008. What is r in 8/15*r - 2/5 - 2/15*r**d = 0?
1, 3
Let i(y) = -311 - y**2 + 311 + y. Suppose -x = 3*x + 4. Let n(s) = 5*s**2 - 11*s. Let f(q) = x*n(q) - 2*i(q). Determine g so that f(g) = 0.
0, 3
Suppose -4*q = 2 - 10. Determine m so that -40*m + m**3 - m**2 - 44 + q*m**2 - 8*m**2 = 0.
-2, 11
Let w = -33 + 54. Suppose -o = 2*o - 9, -o - w = -4*c. Solve -4 + 13*q + 50*q**2 - 48*q**2 - c*q = 0 for q.
-4, 1/2
Let z(y) be the first derivative of -y**5/2 + 35*y**4/4 - 235*y**3/6 + 25*y**2/2 + 180*y - 3865. What is v in z(v) = 0?
-1, 2, 4, 9
Let k(c) be the first derivative of c**8/560 - 2*c**7/175 + 3*c**6/200 - 36*c**2 - 85. Let l(x) be the second derivative of k(x). Determine j so that l(j) = 0.
0, 1, 3
Let s = -7451/4 + 1863. Let n(k) be the second derivative of 0*k**2 - s*k**4 + 4*k - 3/20*k**5 + 0 + 3*k**3. Factor n(x).
-3*x*(x - 2)*(x + 3)
Let n be (-194)/873 - (-11749)/18. Let z = n + -651. What is u in -z*u + 0 + 3/8*u**2 = 0?
0, 4
Suppose 0 = -5*a + 2*j + 17, -6*a + 4 = -4*a + 2*j. Suppose 0 = -f - 5, -a = 3*u + 3*f + 3. Let 8*r**2 - 131*r**u + r + 129*r**3 - 7*r = 0. What is r?
0, 1, 3
Let j(l) be the second derivative of 1/30*l**5 + 728/9*l**3 - 55/18*l**4 + 784/3*l**2 - 38*l + 4. Factor j(g).
2*(g - 28)**2*(g + 1)/3
Let a(c) = -4*c**3 - 3*c. Let p(q) = -31*q**3 + 93*q**2 - 429*q + 468. Let l(y) = -7*a(y) + p(y). Factor l(w).
-3*(w - 26)*(w - 3)*(w - 2)
Let q(c) be the first derivative of 5*c**3/3 + 8620*c**2 + 14860880*c + 4295. Factor q(w).
5*(w + 1724)**2
Let p(i) be the third derivative of i**6/1260 + i**5/60 + i**4/14 + 17*i**3/3 + 3*i**2 - 5. Let c(v) be the first derivative of p(v). Factor c(w).
2*(w + 1)*(w + 6)/7
Let j(t) be the first derivative of -t**3/7 - 111*t**2/14 - 558*t/7 + 1150. Find a, given that j(a) = 0.
-31, -6
Let q(g) be the second derivative of 5*g**6/48 + 113*g**5 + 135901*g**4/4 - 163624*g**3/3 + 32761*g**2 - 3460*g. Factor q(y).
(y + 362)**2*(5*y - 2)**2/8
Suppose 5*f = 32*f + 648. Let b be (9*4/f)/(-3). Factor -b*k + 1/2*k**3 - 4/3*k**2 + 0.
k*(k - 3)*(3*k + 1)/6
Let h = 37802 + -37797. Let l(m) be the first derivative of 0*m**2 + 5/3*m**3 + 0*m + 26 + 5/4*m**h + 15/4*m**4. Factor l(w).
5*w**2*(w + 2)*(5*w + 2)/4
Suppose -150*t = -141*t + 2*v - 257, 5*v - 35 = 0. Let p(f) be the first derivative of f**3 + 3/2*f**2 + t + 0*f. Factor p(m).
3*m*(m + 1)
Let i(m) = 52*m - 100. Let w(c) = c**2 - 49*c + 99. Let f = 118 - 122. Let l(j) = f*w(j) - 3*i(j). Let l(k) = 0. What is k?
4, 6
Let a(g) = 26*g**2 + 574*g + 1912. Let s be a(-18). What is z in 54/7*z**3 + z**s + 68/7*z**2 + 24/7*z + 0 - 3/7*z**5 = 0?
-2, -1, -2/3, 0, 6
Let b(x) = x**3 + 138*x**2 - 863*x - 2. Let j be b(6). Factor 0*s + 8/5*s**3 - 12/5*s**2 + 0 - 1/5*s**j.
-s**2*(s - 6)*(s - 2)/5
Solve -76557845 - 35507*d - 321*d**2 - 20300*d + 16677*d + 166*d**2 + 150*d**2 = 0 for d.
-3913
Let a(m) be the third derivative of -m**6/360 + 91*m**5/45 + 365*m**4/72 + 2087*m**2. Factor a(p).
-p*(p - 365)*(p + 1)/3
Let k(r) = -r**2 - r**2 + r + 0*r**2 + r**3 + 4 + r**2. Let d be k(0). Find o, given that -3 + o**3 - 1 - o**d + 4 = 0.
0, 1
Let g(a) be the third derivative of a**6/660 + 14*a**5/165 - 91*a**4/132 + 62*a**3/33 + 3510*a**2. Let g(c) = 0. What is c?
-31, 1, 2
Let t be -3 - (-8 + -7 + -3). Let w be (t + -14)/(12/20). Solve 0 + 4/3*v**3 - 1/3*v**4 - w*v**2 + 2/3*v = 0.
0, 1, 2
Find c such that -c**2 + 89*c - 48*c + 51*c + 7*c + 76*c - 174 = 0.
1, 174
Let d(t) be the third derivative of t**8/168 + t**7/60 - 3*t**6/80 - 13*t**5/120 + 5*t**4/48 + t**3/2 - 18*t**2 + 6. Suppose d(k) = 0. What is k?
-2, -1, -3/4, 1
Suppose 4*l - 4*a = 44, 0*l - l - 4*a + 21 = 0. Let r(k) = -k + 15. Let o be r(l). Determine x so that 0*x - 1/2*x**o + 1/2 = 0.
-1, 1
Suppose 5*u - 2*u - t - 5 = 0, 2*t = 4*u - 4. Let l(j) be the first derivative of 9/4*j**u + 14 - 81/8*j**2 + 81/4*j - 3/16*j**4. Find d, given that l(d) = 0.
3
Let b = -799 + 342. Let j = 177 - b. Factor -j*a**4 + 630*a**4 + 7*a**3 + 0 + 2*a**2 + 0.
-a**2*(a - 2)*(4*a + 1)
Let x(h) = 36*h**2 - 3*h - 36. Let b be x(-7). Find n such that -4*n**4 - 679*n**2 - 1835*n - 569*n**2 - 3136 - 128*n**3 - b*n = 0.
-14, -2
Factor -2/3 + 94/3*i + 32*i**2.
2*(i + 1)*(48*i - 1)/3
Let i(n) = n + 18. Let j be i(-13). Solve -3 + 5*b**2 + 13*b**2 + 16*b**5 - 9*b - 63*b**4 + 30*b**3 + 11*b**j = 0 for b.
-1/3, 1
Let c(j) be the second derivative of -j**4/12 + 75*j**3 - 418*j. Factor c(l).
-l*(l - 450)
Suppose -95 = 10*w + 775. Let i = w + 89. Determine p so that 3/8*p**3 + 3/8*p**4 + 0*p + 0*p**i + 0 = 0.
-1, 0
Suppose -134 = -2*f + 2*b, 2*f - 2*b = 3*b + 146. Let h be ((-308)/f)/(-2) + (-6 - -4). Factor 4/9*k**4 + 2/9*k**5 - h*k**2 - 2/9*k + 0 + 0*k**3.
2*k*(k - 1)*(k + 1)**3/9
Let k(f) be the first derivative of 12*f**5/5 + 51*f**4/4 - 51*f**2/2 - 12*f + 1454. What is n in k(n) = 0?
-4, -1, -1/4, 1
Let h be (-31)/((-7161)/666) - 3/7*1. Let a(n) be the first derivative of 0*n + 90/11*n**3 - 225/22*n**4 + 50/11*n**5 - h*n**2 - 29. Solve a(s) = 0 for s.
0, 3/5
Let r be (230 - 229)/(-4 + 38/9). Factor -r*t**3 - 1/4*t**5 - 3/4 - 7/4*t**4 - 11/2*t**2 - 13/4*t.
-(t + 1)**4*(t + 3)/4
Let u(b) = 3 + 2*b + b + 125*b**5 - 121*b**5 + 4*b**4 + 3*b**2 + 0*b**2. Let i(o) = -o**5 - o**4 - o**2 - o - 1. Let z(r) = -6*i(r) - 2*u(r). Factor z(a).
-2*a**4*(a + 1)
Suppose -49/6*j**2 - 70/3*j - 1/6*j**3 - 46/3 = 0. Calculate j.
-46, -2, -1
Suppose -8 = 2*m, 3*o - 3 = 2*m - 7. Let t be (21/28)/((-42)/4)*o. Factor t*r - 2/7*r**3 + 4/7*r**2 - 4/7.
-2*(r - 2)*(r - 1)*(r + 1)/7
Factor 652/3*u + 2/3*u**3 - 118/3*u**2 - 848/3.
2*(u - 53)*(u - 4)*(u - 2)/3
Let u(g) be the first derivative of 5*g**6/3 - 17*g**5 + 125*g**4/2 - 95*g**3 + 45*g**2 - 319. What is o in u(o) = 0?
0, 1/2, 2, 3
Let j(f) = f**3 - 19*f**2 + 34*f. Let r be j(17). Let x = -53/42 + 58/21. Factor -1/2*q**2 - 3/2*q**4 - x*q**3 + r*q - 1/2*q**5 + 0.
-q**2*(q + 1)**3/2
Solve 2547/2*s**4 - 269664 - 270936*s + 541869/2*s**3 + 3/2*s**5 + 536781/2*s**2 = 0 for s.
-424, -1, 1
Let c = 5419/7 + -774. Let k(l) be the second derivative of 1/84*l**4 - c*l**2 + 1/210*l**6 + 3/140*l**5 + 0 - 1/14*l**3 + 21*l. Factor k(t).
(t - 1)*(t + 1)**2*(t + 2)/7
Let i(x) be the first derivative of -5*x**4/16 - 17*x**3/2 - 495*x**2/8 - 91*x/2 - 4617. Factor i(j).
-(j + 7)*(j + 13)*(5*j + 2)/4
Let n(y) = -70*y**5 + 94*y**4 - 234*y**3 + 194*y**2. Let q(t) = -22*t**5 + 31*t**4 - 79*t**3 + 65*t**2. Let u(x) = 5*n(x) - 16*q(x). Solve u(c) = 0.
0, 1, 5, 7
Let x(o) be the second derivative of -3/25*o**5 - 125*o + 0 - 44/15*o**3 - 1/150*o**6 - 24/5*o**2 - 17/20*o**4. What is f in x(f) = 0?
-4, -3, -1
Let p(h) be the second derivative of h**4/3 + 64*h**3/3 - 288*h**2 + 2*h + 618. Solve p(m) = 0.
-36, 4
Let r be (5 - (-1 + 12/18*9))/2. Let w(i) be the third derivative of 0*i - 2*i**4 - 16/15*i**5 - 3/2*i**3 + r + 17*i**2. Solve w(z) = 0 for z.
-3/8
Factor -8 - 24 + 24*d**2 - 10*d**3 - 5 + 10*d + 3*d**4 - 2*d**4 + 12.
(d - 5)**2*(d - 1)*(d + 1)
Suppose 5*w + 3*b = 27, -4*b + 1121 = 4*w + 1093. Let 2/9 + 2/3*y**w - 10/9*y**2 + 2/9*y = 0. Calculate y.
-1/3, 1
Suppose 2*w + 2*y + 95 - 87 = 0, 2*w - y - 1 = 0. Let j be (30/525)/(4/(-300)*w). Factor -1000/7 + 1/7*c**3 + 300/7*c - j*c**2.
(c - 10)**3/7
Let h be (15860/(-1001) - -16)/((-5)/((-560)/24)). Factor -1/11*d**3 + 6/11*d + h - 3/11*d**2.
-(d - 2)*(d + 1)*(d + 4)/11
Suppose -1317120 - 3/4*y**4 - 8316*y**2 - 202272*y - 267/2*y**3 = 0. Calculate y.
-56, -10
Factor -25/6 + 5/4*f - 1/12*f**2.
-(f - 10)*(f - 5)/12
Let t be ((-1330)/98 + 15)/(25/35). Factor 0*n + 0 - 1/7*n**3 - 11/7*n**t.
-n**2*(n + 11)/7
Let s(o) be the th