0*v + 4862152*v**2 - 176287 + 2*v**3 + 3*v**3.
5*(v - 176)**2*(v - 2)
Let q = 1059 + -476. Let c = 589 - q. Factor c*h + 12/5*h**2 + 16/5 - 2/5*h**3.
-2*(h - 8)*(h + 1)**2/5
Let n(h) be the second derivative of h**6/200 + h**5/20 + 3*h**4/20 - 70*h**2 - 14*h - 1. Let j(v) be the first derivative of n(v). Find x, given that j(x) = 0.
-3, -2, 0
Factor 65/4 + 133/8*b**3 + 391/8*b + 1/8*b**4 + 393/8*b**2.
(b + 1)**3*(b + 130)/8
Let x(l) be the first derivative of 5*l**6/23 - 218*l**5/115 - 11*l**4/46 + 166*l**3/23 + 164*l**2/23 + 56*l/23 - 1305. Solve x(c) = 0.
-1, -2/5, -1/3, 2, 7
Let k(z) be the first derivative of -1/3*z**3 + 1/12*z**4 - 6*z + 0*z**2 + 1/20*z**5 - 2. Let o(g) be the first derivative of k(g). What is y in o(y) = 0?
-2, 0, 1
Suppose 2*y - 5*y + 4*o - 393 = 0, 4*o = -2*y - 262. Let s = -128 - y. Determine r, given that -10/7*r + 22/7*r**2 - 8/7*r**s - 4/7 = 0.
-1/4, 1, 2
Factor 1920/7*g - 18*g**2 + 2048/7 + 2/7*g**3.
2*(g - 32)**2*(g + 1)/7
Let t = 42 + -42. Suppose 12*m - 11*m - 4 = t. Solve -6*x**2 + 86 + m*x - 86 = 0.
0, 2/3
Suppose -5*x + 3*y + 83 = 0, 2*x = -0*x - 3*y + 50. Suppose -4*t + 1 = -x. Factor -6*o + 6*o - t*o**2 + 3*o**2 + 8.
-2*(o - 2)*(o + 2)
Let t = 38526 + -38526. Factor t*q**3 + 0 - 7/5*q**2 - 6/5*q + 1/5*q**4.
q*(q - 3)*(q + 1)*(q + 2)/5
Let i be (-1257)/(-4) - 3/12. Let n(m) = 5*m + 33. Let w be n(-6). Factor 8 + 308*b**2 - 6*b**w - i*b**2 + 4*b**3.
-2*(b - 1)*(b + 2)**2
Let h = 9384/25 - 64388/175. Factor 2/7*d**2 + h*d + 338/7.
2*(d + 13)**2/7
Factor 84*d**2 + 120 - 237*d + 9/4*d**3.
3*(d - 2)*(d + 40)*(3*d - 2)/4
Let c(x) = x**3 - 2*x**2 + x - 122. Let j(f) = f**3 - f**2 - f + 1. Let q(k) = -c(k) + 2*j(k). Let t(d) be the first derivative of q(d). Factor t(p).
3*(p - 1)*(p + 1)
Let x be 375385/3501 + 20/(-36). Let 250/3*b**2 + 35/3*b**3 + x*b - 160 = 0. What is b?
-4, 6/7
Let d = -1944/1285 + 2134306/3855. Let y = -552 + d. Factor -y*f**2 - 2/15*f**5 + 0 - 2/5*f**3 + 0*f - 2/5*f**4.
-2*f**2*(f + 1)**3/15
Let x(o) = -o**2 + o - 1. Let a(f) = 21*f - 28. Let z(u) = a(u) + 2*x(u). Let k be z(10). Factor 0*p + 2/9*p**3 + k + 0*p**2.
2*p**3/9
Let a(f) = -2*f**3 + 9*f**2 + 3*f + 12. Let p be a(5). Suppose 0 = -q + 4 - p. Factor -3*s**4 + 2*s**q + 3*s**3 + 3*s**3 - 5*s**3.
-s**2*(s - 1)*(3*s + 2)
Let y(j) be the first derivative of 0*j - 41 + 1/10*j**4 + 4/5*j**2 + 8/15*j**3. Factor y(n).
2*n*(n + 2)**2/5
Let k = -1615330/3 - -538445. Factor -25*i**2 - 1250 + k*i**4 - 15*i**3 + 1625/3*i.
5*(i - 5)**3*(i + 6)/3
Let x(r) be the third derivative of r**7/315 - 583*r**6/90 + 341053*r**5/90 - 56551*r**4/3 + 37636*r**3 - 6659*r**2. Factor x(z).
2*(z - 582)**2*(z - 1)**2/3
Let u(q) be the first derivative of 61 - 2/3*q**3 - 1/21*q**6 + 8/7*q + 6/35*q**5 + 0*q**2 + 1/14*q**4. Determine w, given that u(w) = 0.
-1, 1, 2
Factor -19*d**4 + 6*d**2 + 6*d + 1200 + 34*d - 171*d**2 + 24*d**4.
5*(d - 4)**2*(d + 3)*(d + 5)
Let g be (-5)/(-1) + (-6)/2. Solve 4*t**3 + 103*t**5 + t**2 - t**g + 37*t**5 + 52*t**4 + 29*t**5 = 0 for t.
-2/13, 0
Let h(j) be the second derivative of -j**7/21 + 4*j**6/25 + 88*j**5/25 - 147*j**4/5 + 423*j**3/5 - 378*j**2/5 + 2996*j. Find x such that h(x) = 0.
-7, 2/5, 3
Let m(u) be the third derivative of -1/60*u**6 + 0*u - 2*u**2 - 1/7*u**4 + 0 - 8/105*u**5 + 0*u**3 - 1/735*u**7. Determine p so that m(p) = 0.
-3, -2, 0
Suppose -24 = -6*d + 2*d + s, -4 = -5*s - 64. Factor 5/3*a**4 + 1/6*a**5 + 6*a**2 - 9/2*a - 9 + 17/3*a**d.
(a - 1)*(a + 2)*(a + 3)**3/6
Suppose -3*d - 2*g - 4 = -15, 3*d = -3*g + 6. Suppose d*l - 78 = -4*i + l, 4*l = -4*i + 76. Factor -81/2*j**2 - 2 - i*j.
-(9*j + 2)**2/2
Let l = -717448 + 717452. Determine m, given that -32/9*m + 0 + 80/9*m**2 - 22/3*m**3 - 2/9*m**5 + 20/9*m**l = 0.
0, 1, 4
Determine w, given that -4/3*w**3 + 2/3*w**5 + 0 - 8*w**2 + 6*w + 8/3*w**4 = 0.
-3, 0, 1
Let q(o) = 4*o**2 - 52172*o - 113326396. Let m(a) = a**2 - 17390*a - 37775462. Let s(w) = 10*m(w) - 3*q(w). Find r such that s(r) = 0.
-4346
Let w be (3/42*8)/(16/56). Let a = -36 + 237. Factor -455*d + 18*d**3 - a*d + 96 + 178*d**3 + 1064*d**w.
4*(d + 6)*(7*d - 2)**2
Let l(m) be the third derivative of m**6/40 + 37*m**5/5 + 721*m**4/8 + 429*m**3 - 6214*m**2. Factor l(y).
3*(y + 2)*(y + 3)*(y + 143)
Let o be 0 - (-4 - -5)*30. Let t be (-72)/o + -3 - (-66)/10. Factor 6*j**2 - 119 - t*j + 123 - 4*j**2.
2*(j - 2)*(j - 1)
Let i(f) be the first derivative of 7*f**4/30 + 3106*f**3/45 + 5735*f**2 - 8214*f/5 + 2439. Suppose i(r) = 0. Calculate r.
-111, 1/7
Let p(u) = 3*u**3 + u**2 + 7*u + 14. Let r(g) = -2*g**3 - 6*g - 12. Let c(i) = -4*p(i) - 5*r(i). Solve c(o) = 0 for o.
-2, -1, 1
Solve 204/7 - 2/7*p**3 - 32/7*p**2 + 46/7*p = 0 for p.
-17, -2, 3
Factor 2/9*p**2 + 290/9 - 292/9*p.
2*(p - 145)*(p - 1)/9
Let v(t) = 18*t**4 - 5*t**3 - 36*t**2 + 5*t + 18. Let r(y) = 5*y**4 - y**3 - 9*y**2 + y + 4. Let g(k) = -9*r(k) + 2*v(k). Find w, given that g(w) = 0.
-1, -1/9, 0, 1
Let v be (-389)/2*((-53)/7 + 7). Let n = v + -2278/21. Factor -n*c + 2 + 2/3*c**2.
2*(c - 3)*(c - 1)/3
Let x(k) be the first derivative of 0*k + 1/18*k**6 - 205 + 1/12*k**4 + 0*k**2 + 2/15*k**5 + 0*k**3. Find c such that x(c) = 0.
-1, 0
Let j(x) = 15*x**3 - 1241*x**2 - 1539*x - 283. Let t(q) = -16*q**3 + 1240*q**2 + 1538*q + 282. Let w(z) = 2*j(z) + 3*t(z). Solve w(y) = 0 for y.
-1, -2/9, 70
Find v such that -2/9*v**5 - 4/3*v**2 - 16/9*v**3 + 4/3*v**4 + 2*v + 0 = 0.
-1, 0, 1, 3
Let c(v) be the second derivative of 17/19*v**5 + 6*v**3 + 4*v - 81/19*v**2 + 0 + 5/57*v**6 - 4*v**4. Determine o so that c(o) = 0.
-9, 3/5, 1
Suppose -38/5 + 17/5*r + 1/5*r**2 = 0. What is r?
-19, 2
Let d(i) be the second derivative of i**5/20 + i**3/6 - 3*i. Let r(v) = -3*v**3 + 5*v - 9*v + v**2 + 2*v. Let x(m) = 2*d(m) + r(m). Find y such that x(y) = 0.
0, 1
Let t(p) = -9*p - 62. Let n be t(-10). Suppose -20*y + 18*y = -n. Suppose 5*d**2 + 41 + 55*d - 16 + 11 + y = 0. Calculate d.
-10, -1
Let m = 38597/1064 - 4808/133. Find b, given that -243/2*b - 27/4*b**2 - m*b**3 - 729 = 0.
-18
Let s(n) be the first derivative of 25/12*n**2 - 1/36*n**6 + 85/9*n**3 + 8/15*n**5 - 11/3*n**4 - 125/3*n + 90. Factor s(h).
-(h - 5)**3*(h - 2)*(h + 1)/6
Let t be 0/((-96)/40 + 20/50). Let n(z) be the second derivative of 8*z + 1/70*z**5 + 0*z**3 + 0*z**2 - 1/147*z**7 - 1/42*z**4 + t + 1/105*z**6. Factor n(d).
-2*d**2*(d - 1)**2*(d + 1)/7
Let w(k) be the third derivative of 0*k**4 - k**2 - 7/60*k**5 - 14*k - 1/120*k**6 + 1/70*k**7 + 1/336*k**8 + 0 + 2/3*k**3. Solve w(r) = 0 for r.
-2, -1, 1
Let r = -446 + 1206. Suppose -8*k - 12 + 757*k**2 - r*k**2 - 7*k = 0. What is k?
-4, -1
Let j be (-45)/24*-7 - (60 - (-1824)/(-38)). Factor -1/8*k**3 + 25/8 - j*k**2 - 15/8*k.
-(k - 1)*(k + 5)**2/8
Let a(f) be the second derivative of 34*f + 2/15*f**6 + 0 + 13/3*f**4 - 40*f**3 + 72*f**2 + 2*f**5. Determine w, given that a(w) = 0.
-6, 1
Let y(l) = -l**4 + l**3 - l**2 + l - 1. Let q(c) = c**5 + 3*c**3 - 2*c**5 + 5*c**3 - 6 - 10*c**2 + 7 + 3*c. Let g(r) = -2*q(r) - 2*y(r). Solve g(k) = 0 for k.
-4, 0, 1
Suppose -74 + 20*c**2 - 23*c**2 - 3 - 32 - 240*c - 128 = 0. Calculate c.
-79, -1
Let f be -508 + (0/(-6) + -3 - -2). Let l = 512 + f. Solve -42*p**2 - 54/5*p**4 + 36/5*p + 228/5*p**l + 0 = 0 for p.
0, 2/9, 1, 3
Solve 7935/7 + 291/7*i**2 - 6/7*i**3 - 552*i = 0.
5/2, 23
Let c(y) be the second derivative of 6627*y**5/4 + 42065*y**4/12 + 8800*y**3/3 + 1210*y**2 - 1560*y. Suppose c(v) = 0. What is v?
-22/47, -1/3
Let p(g) be the first derivative of g**3/3 - 4641*g**2 + 21538881*g + 3130. Suppose p(r) = 0. Calculate r.
4641
Let x(d) be the first derivative of 4*d**3/3 + 22*d**2 - 2480*d - 9318. Factor x(t).
4*(t - 20)*(t + 31)
Let m = -3306114/5 - -661224. Solve -2*g**2 - m*g - 4/5*g**5 + 2*g**3 + 4/5 + 6/5*g**4 = 0 for g.
-1, 1/2, 1, 2
Let m(u) be the second derivative of 7*u**5/5 + 53*u**4/3 + 34*u**3/3 - 154*u**2 - 380*u. Determine h so that m(h) = 0.
-7, -11/7, 1
Suppose -29*q + 28*q = -4. Let m(s) = -s - 1. Let h be m(-3). Find i such that 15*i**q + i**5 + 11*i**2 - 31*i**h + 4*i**5 = 0.
-2, 0, 1
Let j(d) = d**3 - 20*d**2 - 5*d + 19. Let z be j(16). Let y = z + 2181/2. Let 5/2*i**4 + 0 + 6*i**3 - 3*i - y*i**2 = 0. Calculate i.
-3, -2/5, 0, 1
Let q(h) be the second derivative of h**6/10 + 6*h**5/5 - 3*h**4/4 - 63*h**3 - 324*h*