 9351*v - 9354 - 334*v**2 - 312*v**2.
3*(v - 1)*(v + 3118)
Suppose 2*n = -10, 5*s - 10*n - 20 = -9*n. Factor -11 - 102*l + 680*l**2 + 21*l**s + 35 - 623*l**2.
3*(l - 1)*(l + 4)*(7*l - 2)
Suppose 3*o - 45 = -93. Let d(f) = 12*f**3 - 68*f**2 - 284*f + 324. Let s(w) = w**3 - 2*w. Let g(j) = o*s(j) + d(j). What is v in g(v) = 0?
-9, 1
Let q(d) = 2*d**2 - 13089*d + 22. Let x(w) = w**2 - 9817*w + 16. Let p(o) = -8*q(o) + 11*x(o). What is u in p(u) = 0?
-655, 0
Find h, given that 45/2 + 57/4*h + 1/4*h**4 - 35/4*h**2 - 1/4*h**3 = 0.
-6, -1, 3, 5
Let o = -1135043/4 - -283761. Factor -16 + 36*n - 97/4*n**2 - o*n**4 + 9/2*n**3.
-(n - 8)**2*(n - 1)**2/4
Suppose -2*z = 3*v - 1460, -5*v + 4*z + 494 + 1910 = 0. Let l = 983/2 - v. What is y in -5 + 20*y**2 - l*y**3 - 15/2*y = 0?
-1/3, 1, 2
Let k be 14/3 + 0 + (-400)/150. Let u(c) be the second derivative of 0 + 38*c - 1/8*c**4 - 21/4*c**k + 2*c**3. Find z such that u(z) = 0.
1, 7
Let i(t) be the first derivative of 17*t**5/130 + 10*t**4/39 - 31*t**3/39 - 6*t**2/13 - 205*t + 162. Let f(q) be the first derivative of i(q). Solve f(v) = 0.
-2, -3/17, 1
Let d(m) be the second derivative of 1/3*m**3 + 1/180*m**6 - 1/6*m**4 + 1/60*m**5 + 0*m**2 + 0 - 7*m. Let v(p) be the second derivative of d(p). Factor v(i).
2*(i - 1)*(i + 2)
Let n be (-480)/240*4*6/(-336). Let 36/7 + n*x**2 - 12/7*x = 0. What is x?
6
Determine f, given that -226/9*f**2 - 4/9 + 230/9*f = 0.
2/113, 1
Let s = 9511 - 9500. Let r(h) be the second derivative of 35/78*h**4 + 1/13*h**2 - 49/130*h**5 + 0 + 1/3*h**3 - s*h. What is n in r(n) = 0?
-1/7, 1
Let r be (-2)/(-4)*9*(-42)/(-7). Suppose -r = -4*x - 15. Determine a so that x*a**2 - 6 - 14*a**5 - 4*a**4 + 7*a**2 + 10*a**5 + a**5 - 17*a + 20*a**3 = 0.
-3, -1, -1/3, 1, 2
Let w(o) be the second derivative of o**4/3 - 44*o**3/3 + 234*o**2 + 19*o + 191. Let w(a) = 0. Calculate a.
9, 13
Find i such that 112/3*i - 144 - 1/3*i**2 = 0.
4, 108
Let s(c) = 2*c**2 + 37*c - 75. Let l(z) = z**2 - 2*z + 7. Let o(w) = l(w) - s(w). Find t, given that o(t) = 0.
-41, 2
Suppose 7*l + 177 = 219. Factor l*j - 168*j**2 + 168*j**2 - 3*j - 3*j**3.
-3*j*(j - 1)*(j + 1)
Let o(x) be the third derivative of x**7/42 + 5*x**6/24 - 4*x**5 - 45*x**4/2 + 46*x**2 + 26. Factor o(w).
5*w*(w - 6)*(w + 2)*(w + 9)
Let j be 1/65*-3*730/(-219). Factor -8/13*m + 0 + 22/13*m**2 + 2/13*m**5 - 18/13*m**3 + j*m**4.
2*m*(m - 1)**3*(m + 4)/13
Let t = 10109 + -10097. Factor -8/7*i**2 - 164/7*i + t.
-4*(i + 21)*(2*i - 1)/7
Let w be 5*38/399*(-42)/(-35). Factor 6/7 + 2/7*v**4 + 4/7*v - 8/7*v**2 - w*v**3.
2*(v - 3)*(v - 1)*(v + 1)**2/7
Let t(j) be the third derivative of -j**5/20 - 59*j**4/8 - 921*j**2. Factor t(l).
-3*l*(l + 59)
Let q(y) be the second derivative of y**6/540 + y**5/27 + 29*y**4/108 + 20*y**3/27 + 45*y**2 - 242*y. Let f(n) be the first derivative of q(n). Factor f(b).
2*(b + 1)*(b + 4)*(b + 5)/9
Suppose 635253*x = 635321*x - 272. Factor 40/3*r + 16*r**2 + 8*r**3 + 4/3*r**x + 4.
4*(r + 1)**3*(r + 3)/3
Let c = 1476 + -1473. Suppose 12 = 5*y + 4*r, -3 = 5*y - 3*r + 2*r. Factor 1 + y*d**2 - 1/2*d**c + 3/2*d.
-(d - 2)*(d + 1)**2/2
Solve 32/7*j**2 - 46*j + 20/7 = 0 for j.
1/16, 10
Let h(d) be the second derivative of d**3/6 + 5*d**2 + 6*d. Let b be h(-8). Factor 11 - 5 + 2*v**b + 0 + 4*v - 4.
2*(v + 1)**2
Let r be (9 - 7) + 6 - (34 + -28). Factor 2/5*x**2 - 48/5 + r*x.
2*(x - 3)*(x + 8)/5
Let b(x) be the third derivative of -2*x**7/105 - x**6/15 + 4*x**5/5 - 7*x**4/3 + 10*x**3/3 - 1439*x**2. Factor b(l).
-4*(l - 1)**3*(l + 5)
Let m(a) be the first derivative of 3*a**5/5 + 51*a**4 - 542*a**3 - 1926*a**2 - 2025*a - 7624. Factor m(k).
3*(k - 9)*(k + 1)**2*(k + 75)
Let o = 8992 - 179839/20. Let u(d) be the third derivative of 3/4*d**3 + 3/160*d**6 + 0 - o*d**5 - 17/32*d**4 - 11*d**2 + 0*d. Suppose u(z) = 0. Calculate z.
-2, 1/3, 3
Let h = -382812 - -2679693/7. Determine w, given that 8/7 - 30/7*w + h*w**3 - 29/7*w**2 = 0.
-1, 2/9, 4
Suppose -2*q - 10 = 0, -2*q - 18 = 2*p + 34. Let i = 45 + p. Let -45*b - 4*b**2 - 17*b + 42*b + i = 0. What is b?
-6, 1
Let o(v) be the third derivative of v**6/600 - 797*v**5/300 + 3980*v**4/3 - 79202*v**3/15 - 26*v**2 - v. Factor o(q).
(q - 398)**2*(q - 1)/5
Determine f so that -5/2*f**3 - 40495/2*f - 39605/2 - 895/2*f**2 = 0.
-89, -1
Let u(l) = -l**2 + 15*l + 58. Let w be u(-3). Determine p, given that -30*p - 5*p**2 + 11*p + 90 + w*p = 0.
-6, 3
Let h(r) be the second derivative of -1 - 6*r**2 + 29/3*r**3 - 7/2*r**4 + 2/5*r**5 + 33*r. Solve h(l) = 0 for l.
1/4, 2, 3
Factor 2/7*w**2 + 80 + 284/7*w.
2*(w + 2)*(w + 140)/7
Let n(z) = -9*z**4 - 347*z**3 - 14441*z**2 + 347*z + 14408. Let u(q) = 5*q**4 + 174*q**3 + 7220*q**2 - 174*q - 7201. Let d(l) = -4*n(l) - 7*u(l). Factor d(c).
(c - 1)*(c + 1)*(c + 85)**2
Let t be ((-50)/(-9) - (-42)/(-7))/((-20)/10). Let n(h) be the third derivative of 0*h**5 + 0 + t*h**3 + 1/180*h**6 + 0*h - 10*h**2 - 1/12*h**4. Factor n(j).
2*(j - 1)**2*(j + 2)/3
Let a(o) = -14 + 17*o - 5 - o**2 + 7. Let m be a(15). Factor 20*y**2 + 16*y**2 - m*y**3 - 27*y**2 - 27 + 18*y + 15*y**2 + 3*y**4.
3*(y - 3)**2*(y - 1)*(y + 1)
Let m(r) be the third derivative of 0*r - 1/20*r**5 + 55*r**2 - 128*r**3 + 1 - 4*r**4. Factor m(t).
-3*(t + 16)**2
Let l be ((-25)/2)/(-5)*200/250. Factor -338*h - 40 + 370*h - 2*h**3 - 2*h**l + 0*h**2.
-2*(h - 2)**2*(h + 5)
Let b = -267947/4 - -66988. Factor -35/4 + 10*l - b*l**2.
-5*(l - 7)*(l - 1)/4
Let o(w) be the second derivative of -6*w**2 + 10 + 5/3*w**3 - 6*w + 1/6*w**4. Solve o(r) = 0 for r.
-6, 1
Factor -16/3*d**2 + 36 - 2/3*d**3 + 10*d.
-2*(d - 3)*(d + 2)*(d + 9)/3
Let f be (((-40)/14)/(-4))/(6185/356256). Factor -3174/7 - 6/7*l**4 - f*l**3 - 6624/7*l - 3732/7*l**2.
-6*(l + 1)**2*(l + 23)**2/7
Let s(g) be the second derivative of g**6/6 + 3*g**5/4 - 20*g**4/3 + 10*g**3 + 655*g. Let s(d) = 0. What is d?
-6, 0, 1, 2
Let k(b) be the third derivative of 0 - 41*b**2 + 5/6*b**4 + 1/36*b**6 - 37/180*b**5 - 1/630*b**7 + 0*b - 2*b**3. Factor k(n).
-(n - 3)**2*(n - 2)**2/3
Find q such that -70 + 369*q - 25/4*q**4 - 1067/2*q**2 + 495/4*q**3 = 0.
2/5, 5, 14
Determine u, given that -2/11*u**3 + 130/11*u - 124/11*u**2 + 252/11 = 0.
-63, -1, 2
Suppose 30912 = -2*t + 30*t. Let z = t - 1101. Factor -8/3*r**2 + 2/3*r + 4 + 2/3*r**z.
2*(r - 3)*(r - 2)*(r + 1)/3
Suppose 2*b = -4, -u - 5*b - 5 = 11 - 10. Determine n, given that 0 - 3/5*n**u + 0*n + 2/5*n**3 + 0*n**2 + 1/5*n**5 = 0.
0, 1, 2
Let p = -1 + 7. Let k be (6*(-4)/40)/(2/(-10)). Determine q so that 3*q**3 - 5*q**4 + 8*q**3 - p*q**k = 0.
0, 1
Let t(z) be the first derivative of -z**4/4 - 8*z**3/3 + 51*z**2/2 + 39*z - 517. Let j be t(-12). Find x such that 2/9*x**j - 2/9*x - 4/9*x**2 + 4/9 = 0.
-1, 1, 2
Let g = -148/2255 + 2854/2255. Determine l, given that 0 - 20*l**3 - g*l**4 + 32/5*l - 62/5*l**2 = 0.
-16, -1, 0, 1/3
Let j(u) be the third derivative of 0*u + 1/20*u**4 + 11*u**2 - 1 - 2/5*u**3 - 1/450*u**5. Factor j(b).
-2*(b - 6)*(b - 3)/15
Let z = -257093/4 - -128551/2. Let 0*l - z*l**2 + 0 + 3/4*l**3 = 0. What is l?
0, 3
Let y = 4/283 + 976/11037. Let o = 106/273 - y. Determine x, given that 2/7*x**3 - o*x - 2/7*x**2 + 2/7 = 0.
-1, 1
Suppose 4*k - 4*o = 4, 5*k + 7*o - 13 = 4*o. Solve -12*l - 2*l**4 + k*l**2 - 4*l + 16*l**3 + 5525 - 5525 = 0.
-1, 0, 1, 8
Let q(l) be the second derivative of -2 - 1/6*l**4 - 1/2*l**2 - 5/12*l**3 + 3*l - 1/40*l**5. Determine y, given that q(y) = 0.
-2, -1
Let g(j) be the second derivative of -j**4/12 - 21*j**3/2 + 99*j**2 + 77*j - 2. Solve g(v) = 0.
-66, 3
Let q = 70011/2 + -34992. Factor -15/4*x**2 - 141/4*x - q.
-3*(x + 9)*(5*x + 2)/4
Let w = -1597713/4 - -798877/2. Factor -10*t + 1/4*t**2 - w.
(t - 41)*(t + 1)/4
Let i(k) be the second derivative of 5*k**7/84 + 13*k**6/24 + 15*k**5/8 + 145*k**4/48 + 25*k**3/12 - 7*k - 15. Let i(n) = 0. Calculate n.
-5/2, -2, -1, 0
Let j(k) be the first derivative of k**6/24 - 23*k**5/10 + 477*k**4/16 + 108*k**3 - 216*k**2 + 3770. Determine i, given that j(i) = 0.
-3, 0, 1, 24
Suppose 4*z - 20 = -f, -5*f - z = -91 - 47. Let v = f + -103/4. Find h, given that -3/2*h**3 + 3/2*h + v*h**4 + 0 - 9/4*h**2 = 0.
-1, 0, 2/3, 1
Factor 4/9*z**2 - 4/9 - 50/9*z + 50/9*z**3.
2*(z - 1)*(z + 1)*(25*z + 2)/9
Let d(v) be the second derivative of -25*v**7/14 + 14*v**6 - 99*v**5/10 - 1