14)*(j + 1)**2
Let o be (-4)/(20 + -13 + -5 + -14). Solve o*l**3 + 4/3*l**2 - 1/3*l**4 + 0 - 4/3*l = 0.
-2, 0, 1, 2
Let a(u) be the first derivative of 5*u**3/3 - 3525*u**2 + 2485125*u + 530. Find w such that a(w) = 0.
705
Suppose k - a = 5, -2086*k + 2088*k - 8*a = 10. Solve -4*v - 2/3*v**k + 0 - 10/3*v**4 + 14/3*v**3 + 10/3*v**2 = 0.
-6, -1, 0, 1
Suppose 4*v - 7*v = -6*v. Suppose b - 4*m - 22 = v, -2*b - 2*b = 5*m - 4. Factor 15*d**3 - 28*d**3 + 12*d**3 - b*d**2.
-d**2*(d + 6)
Let d(n) be the second derivative of -3*n**5/80 - 99*n**4/16 - 174*n**3 - 1992*n**2 + 32*n + 16. Factor d(b).
-3*(b + 8)**2*(b + 83)/4
Let w(y) be the second derivative of -y**5/10 - 6*y**4 - 119*y**3 - 578*y**2 + 3*y - 111. Suppose w(v) = 0. What is v?
-17, -2
Let a(w) be the third derivative of w**6/120 + 7*w**5/20 + 7*w**4/3 + 6*w**3 - 2*w**2 - 908*w. Factor a(n).
(n + 1)*(n + 2)*(n + 18)
Let k be (-48)/(-510)*((-1706)/(-72) - 292/(-5256)). Find h such that 40/17*h - 2/17*h**2 - k = 0.
1, 19
Let r be (9 + 45/(-5))/((-16)/(-56)*7). Find x such that r*x**2 - 52/5*x + 48/5 + 4/5*x**3 = 0.
-4, 1, 3
Let d(t) be the third derivative of -72*t**7/35 - 317*t**6/20 - 813*t**5/20 - 63*t**4/2 - 10*t**3 - t**2 - 10*t + 19. Solve d(g) = 0 for g.
-2, -5/18, -1/8
Let o = -127 + 131. Factor 7*p**3 + 7*p**3 - 8*p**3 - 8*p + 8*p**o - 8*p**2 + 7*p**5 - 5*p**5.
2*p*(p - 1)*(p + 1)*(p + 2)**2
Let k(c) be the first derivative of 2/27*c**3 + 139 + 2/3*c + 5/9*c**2 - 1/18*c**4. Solve k(y) = 0.
-1, 3
Suppose 0 = -4*x + 5*v + 12, -3*x - 3*v + 7 + 2 = 0. Factor 6 + 45*a + 36*a + x*a**2 - 6.
3*a*(a + 27)
Let j(o) be the first derivative of -1/32*o**4 + 9 + 0*o**3 + 0*o + 5/2*o**2 + 1/240*o**5. Let x(z) be the second derivative of j(z). Find y such that x(y) = 0.
0, 3
Factor -359/2 + 361/4*z - 1/4*z**2.
-(z - 359)*(z - 2)/4
Let y(c) be the first derivative of 34 - 3/5*c**5 + 7*c**3 + 3/2*c**2 - 18*c - 3/4*c**4. Let y(f) = 0. What is f?
-3, -1, 1, 2
Let d = 79922 - 79918. Factor -5/4*r**3 + 1/4*r**d + 0*r + r**2 + 0.
r**2*(r - 4)*(r - 1)/4
Let g be ((-96)/(-40)*(-550)/77)/((-54)/28). Solve -g - 32/9*r + 4/9*r**2 = 0 for r.
-2, 10
Let t be ((-270)/(-20) + -12)*4. Let p(q) be the first derivative of -1/11*q**2 + 2/55*q**5 + 2/11*q - 13 + 1/11*q**4 - 1/33*q**t - 4/33*q**3. Factor p(w).
-2*(w - 1)**3*(w + 1)**2/11
Let v be (12/30)/(-2 + (-42)/(-20)). Suppose 4*t - 4 = -b, 3*t + 7 + 3 = -v*b. Suppose z**5 + z**t + 4*z + 23 - 19 - z**4 - 5*z**3 + 4*z = 0. Calculate z.
-1, 2
Suppose -j = -6 + 1. Suppose j*u - a - 10 - 12 = 0, -5*a = -2*u + 18. Solve -o**5 + 2*o**5 - 3*o**2 + 4*o - 5*o + 2*o**u + o**2 = 0.
-1, 0, 1
Factor -109/2 + 111/4*h - 1/4*h**2.
-(h - 109)*(h - 2)/4
Let v(t) be the first derivative of 2*t**3/33 + 180*t**2/11 + 16200*t/11 + 2794. Factor v(d).
2*(d + 90)**2/11
Suppose -9*d - 1 = -46. Find a, given that d + 1390*a - a**2 + 2*a**2 - 1396*a = 0.
1, 5
Find z such that -12*z + 82/7*z**3 + 2/7*z**5 + 0 - 34/7*z**4 + 34/7*z**2 = 0.
-1, 0, 1, 3, 14
Let r = 33077/21 + -1575. Solve -r*l**3 - 2/21*l**4 + 0 + 8/21*l + 8/21*l**2 = 0 for l.
-2, -1, 0, 2
Let r(n) be the second derivative of -6 + 0*n**2 + 1/24*n**4 + 2/3*n**3 + 5*n. Factor r(o).
o*(o + 8)/2
Solve -66/5*h - 912/5 + 6/5*h**2 = 0.
-8, 19
Let j(d) = d**2 - 35*d + 222. Let w be 34 + 0 + (-1 - 6). Let t be j(w). Solve 0*f**2 + t*f**4 + 3/2*f**5 + 0 + 0*f**3 + 0*f = 0 for f.
-4, 0
Let g = -9056 - -9059. Let y(f) be the third derivative of 0*f**g + 7/160*f**6 + 0*f**4 - 1/448*f**8 + 0*f + 1/20*f**5 + 0 + 1/140*f**7 + 17*f**2. Factor y(r).
-3*r**2*(r - 4)*(r + 1)**2/4
Let r = -770 + 39. Let y be (-11 + r/(-51))*6/10. Determine z, given that 30/7*z - 75/7 - 3/7*z**y = 0.
5
Let b(x) be the second derivative of -x**7/126 - 29*x**6/90 - 73*x**5/20 - 59*x**4/36 + 448*x**3/9 - 98*x**2 - 37*x - 13. Let b(c) = 0. What is c?
-14, -3, 1
Factor -1354/3*l + 2/3*l**4 + 0 - 450*l**3 - 902*l**2.
2*l*(l - 677)*(l + 1)**2/3
Suppose -8/7*a**2 - 3020/7*a + 216 = 0. What is a?
-378, 1/2
Let u be (-155)/(-10)*-2 + 19 + (0 - -14). Factor -16/3*k**u - 2/3*k**4 + 0 + 0*k + 4*k**3.
-2*k**2*(k - 4)*(k - 2)/3
Let a(b) = 20*b**2 - 645*b + 5. Let x(y) = 3*y**2 - y + 1. Let j(l) = -a(l) + 5*x(l). Determine q so that j(q) = 0.
0, 128
Suppose 189 = -2*u - 19*u. Let t be (u/66)/(3 + 125/(-40)). Suppose -4/11*w**3 - 9/11 + t*w - 1/11*w**4 + 2/11*w**2 = 0. Calculate w.
-3, 1
Let z be (1/(-2))/(1/(-10)). Suppose 97*i = 72*i + 71 + 54. Suppose -13 + 8 + 5*q**3 - z*q - i*q**2 + 10*q**2 = 0. What is q?
-1, 1
Let i(g) be the third derivative of g**8/56 + 59*g**7/420 + 23*g**6/60 + 11*g**5/30 + 1627*g**2. Factor i(q).
q**2*(q + 2)**2*(12*q + 11)/2
Let u be 807481/505932 - (-40)/(-28). Let q = -1/1268 + u. Factor -539/6*k + q*k**5 - 19/6*k**4 - 35/3*k**2 - 343/6 + 53/3*k**3.
(k - 7)**3*(k + 1)**2/6
Factor 0*t - 7/3*t**2 + 1/2*t**3 + 16/3.
(t - 4)*(t - 2)*(3*t + 4)/6
Let h(t) = -124*t - 138. Let j(m) = -m**2 - 126*m - 146. Let p(v) = 3*h(v) - 2*j(v). Suppose p(u) = 0. Calculate u.
-1, 61
Let i(k) be the third derivative of k**8/10080 + 2*k**7/315 + k**6/24 - k**5/60 + 2*k**3/3 + 30*k**2. Let r(s) be the third derivative of i(s). Factor r(p).
2*(p + 1)*(p + 15)
Let s(y) be the third derivative of y**6/60 - 37*y**5/10 + 345*y**4/4 - 2525*y**3/3 + 22*y**2 - 63*y. Factor s(a).
2*(a - 101)*(a - 5)**2
Let l(k) be the second derivative of -k**7/945 - k**6/108 - 7*k**5/270 - k**4/36 - 29*k**2 - 2*k + 39. Let w(q) be the first derivative of l(q). Factor w(z).
-2*z*(z + 1)**2*(z + 3)/9
Suppose 0 = 5*g - 3*y - 4, g + 2*g - 12 = -3*y. Factor 4*h**2 + g*h**3 - 19*h**2 - 5*h**4 + 18*h**3.
-5*h**2*(h - 3)*(h - 1)
Let u(x) = x**2 + 126*x + 1667. Let p be u(-15). Find b, given that -9/2*b**2 - p - 13/2*b = 0.
-1, -4/9
Let -1/2*x**4 + 0 + 7*x**3 + 17*x + 49/2*x**2 = 0. Calculate x.
-2, -1, 0, 17
Let p(m) = 2*m**2 - 10*m + 5. Let a(g) = -g**2 + 3*g - 2. Let i be 101/(-1) + (-18)/9. Let o = 92 + i. Let z(u) = o*a(u) - 4*p(u). Factor z(l).
(l + 2)*(3*l + 1)
Let q(x) be the second derivative of 1/15*x**6 - 1/20*x**5 + 0*x**3 - 1/6*x**4 + 4*x - 1 + 0*x**2 + 1/42*x**7. Determine h, given that q(h) = 0.
-2, -1, 0, 1
Let i(v) = 3*v**4 + v**3 - v**2 - 2*v + 1. Let n(t) = -7*t**4 + t**3 - 171*t**2 - 277*t + 446. Let f(p) = 4*i(p) + n(p). Determine d, given that f(d) = 0.
-5, -3, 1, 6
Let h = 178709/3 + -59569. Let -20/3*o - 16/3 + 2/3*o**3 - h*o**2 = 0. Calculate o.
-2, -1, 4
Let s be (((-150)/16)/(306/136))/(20/(-9)). Solve -21/8*i**2 - s*i - 9/8*i**3 - 3/8 = 0 for i.
-1, -1/3
Let z be 150/84 + 9/42. Let w(k) be the first derivative of 1/10*k**5 + 0*k + 1/3*k**3 - 33 + 0*k**z - 3/8*k**4. Factor w(n).
n**2*(n - 2)*(n - 1)/2
Let v = -1043/72 + 349/24. Let z(r) be the third derivative of 0*r - 7/90*r**5 + 0*r**3 - r**2 - v*r**4 - 1/36*r**6 + 0. Determine k so that z(k) = 0.
-1, -2/5, 0
Let f(o) be the first derivative of -2*o**5/55 + 29*o**4/22 + 256*o**3/33 + 12*o**2 - 3816. Find i such that f(i) = 0.
-2, 0, 33
Let q = -143/118 - -72/59. Let d = 1411/590 + q. Determine l, given that -d*l**3 + 4/5*l**4 + 4/5*l**5 - 4/5*l**2 + 8/5*l + 0 = 0.
-2, -1, 0, 1
Suppose -12 = -4*y - 0*y. Suppose -3*w + 4*t - 7 = -6*w, -5*t + 5 = y*w. Determine x, given that -8/3*x**4 + 8/3*x**2 + 0 - 2*x + 4/3*x**3 + 2/3*x**w = 0.
-1, 0, 1, 3
Let n = 390 + -386. Determine u, given that 95*u + 201 - n*u**3 + 5 - 80*u**2 - 38 - 3*u = 0.
-21, -1, 2
Let h(k) be the third derivative of -k**8/1512 + 46*k**7/945 - 2*k**6/9 - 168*k**5/5 - 460*k**4 - 2400*k**3 - 3473*k**2. Determine f so that h(f) = 0.
-6, -2, 30
Let y(p) be the first derivative of -p**4/20 + 1547*p**3/5 - 7179627*p**2/10 + 3702294323*p/5 + 231. Let y(z) = 0. What is z?
1547
Let q(d) be the second derivative of -3*d**5/20 + 431*d**4/2 - 1721*d**3/2 + 1290*d**2 + 16*d - 131. Let q(t) = 0. What is t?
1, 860
Let w(y) = y**3 - y**2 + y. Let q be w(1). Let f(z) = z + 4. Let o be f(q). Factor 103 + 5*r**3 - o*r - 55 - 38 - 10*r**2.
5*(r - 2)*(r - 1)*(r + 1)
Let i(t) = -80*t**3 + 2*t + 1. Let a be i(-1). Let c = -75 + a. Factor -249*h - 10*h**4 + 12*h**c - 7*h**4 - 60*h**3 - 125 - 51*h - 230*h**2.
-5*(h + 1)**2*(h + 5)**2
Let u(s) be the third derivative of -s**6/1380 - s**5/690 + 2*s**4/69 + 4*s**3/23 + 521*s**2 - 2. Factor u(q).
-2*(q - 3)*(q + 2)**2/23
Factor 2/11*c**2 - 1756/11 -