3/33 - 640*a. Find m such that v(m) = 0.
0, 568
Let j = -126/263 + 1430/789. Factor j*x**3 + 0 + 5/3*x**2 + 1/3*x**4 + 2/3*x.
x*(x + 1)**2*(x + 2)/3
Let s(l) = -9*l - 199. Let t be s(-22). Let c be t*11/22 - (-18)/4. Factor 0*b + 0*b**2 + 0 + 0*b**3 - 4/7*b**c + 4/7*b**5.
4*b**4*(b - 1)/7
Let x be (45/(-20))/((-3 - (-258)/48) + -5). Suppose -x*z + 2/7*z**5 + 2/7 + 4/7*z**2 + 4/7*z**3 - 6/7*z**4 = 0. Calculate z.
-1, 1
Let a(n) be the first derivative of -n**3/3 + 48*n**2 - 679. Factor a(m).
-m*(m - 96)
Let o(c) be the second derivative of -c**7/189 - 4*c**6/135 + c**5/9 + 14*c**4/27 + 5*c**3/9 - 1860*c. Solve o(v) = 0.
-5, -1, 0, 3
Let p be 82*(-2)/112 + (-5 - 156/(-24)). Let y(r) be the second derivative of p*r**4 + 0 - 3*r + 0*r**3 - 3/14*r**2. Determine v, given that y(v) = 0.
-1, 1
Let a = 158960 - 794724/5. Factor -4/5*z**2 - 72/5*z + a.
-4*(z - 1)*(z + 19)/5
Determine g so that -1606 - 1083*g + 858 - 1406 - g**2 - 2*g**2 = 0.
-359, -2
Let d = 167505 + -167503. Solve 4*p**3 - 4/5*p**4 + 32/5 - 24/5*p**d - 16/5*p = 0.
-1, 2
Solve 74*a**2 - 382*a - 468*a + 111*a**3 + 215*a**3 - 30*a**4 + 524*a - 44 = 0 for a.
-1, -2/15, 1, 11
Determine v so that 1/6*v**4 - 209/3*v - 71/3*v**3 + 139/6 + 70*v**2 = 0.
1, 139
Suppose -2*d - 6*d = -640. Suppose -d*m**3 - 76*m**3 + 151*m**3 - 5*m**2 = 0. Calculate m.
-1, 0
Let h be ((-330)/(-12) - 10)*(-10)/(-35). Let j(g) be the second derivative of -2/35*g**h + 2/21*g**4 + 0 + 27*g + 0*g**2 + 0*g**3 + 1/105*g**6. Factor j(w).
2*w**2*(w - 2)**2/7
Let c(m) be the third derivative of m**8/2520 - m**7/1260 - m**6/54 - 2*m**5/45 + 7*m**3/2 - 6*m**2. Let u(j) be the first derivative of c(j). Factor u(n).
2*n*(n - 4)*(n + 1)*(n + 2)/3
Suppose -12*d + 1785 = 1749. Let m(c) be the first derivative of -1/2*c**2 - c - 1/12*c**d - 7. Suppose m(f) = 0. Calculate f.
-2
Let k(w) be the second derivative of w**4/66 + 28*w**3/33 - 245*w**2/11 - 2509*w. Let k(o) = 0. Calculate o.
-35, 7
Let a(u) = 3*u**3 + 7*u**2 - 29*u - 1. Let r be a(-7). Let o = r + 1454/3. Factor -2/3*s**4 - o + 8/3*s - 4*s**2 + 8/3*s**3.
-2*(s - 1)**4/3
Let d be ((-24)/30)/(6/(-15)). Let 2*l**3 - 99*l**d + 15*l**2 - 55 + 31*l**2 + 109*l - 3*l**3 = 0. Calculate l.
-55, 1
Factor 6*b**3 + 7*b**3 + 3580*b + 1645 + 3707 - 17*b**3 - 2688*b**2 + 912*b**2.
-4*(b - 3)*(b + 1)*(b + 446)
Let d = 514 - 386. Let b be (8/14)/(d/448). Let 3*x**b - 2*x - 8/3 = 0. Calculate x.
-2/3, 4/3
Let u(r) be the first derivative of r**5/90 - 5*r**4/36 - 2*r**3/3 + 5*r**2/2 + 9*r - 4. Let s(k) be the second derivative of u(k). Factor s(p).
2*(p - 6)*(p + 1)/3
Let j(s) be the third derivative of -s**7/3360 - 7*s**6/960 + 9*s**5/80 + 11*s**4/3 + 198*s**2. Let g(i) be the second derivative of j(i). Factor g(p).
-3*(p - 2)*(p + 9)/4
Factor 0*w + 0 - 31/4*w**3 - 1/4*w**2.
-w**2*(31*w + 1)/4
Let r(i) be the first derivative of -i**4/60 + 3*i**3/10 + i**2 - 125*i - 88. Let s(v) be the first derivative of r(v). Determine b, given that s(b) = 0.
-1, 10
Let s(d) be the third derivative of d**2 - 2/105*d**6 + 0 - 1/735*d**7 + 0*d**3 + 19/210*d**5 - 5/42*d**4 + 22*d. Factor s(o).
-2*o*(o - 1)**2*(o + 10)/7
Let z = -494561/5 + 98914. Factor 7/10 + 2/5*l**3 + 2*l - 1/10*l**4 + z*l**2.
-(l - 7)*(l + 1)**3/10
Let c(q) be the second derivative of -55/36*q**4 - 43/54*q**3 - 2 - 34*q - 1/9*q**2. Factor c(f).
-(5*f + 1)*(33*f + 2)/9
Suppose 0 + 62/9*o**3 - 2/9*o**5 + 4*o - 10/9*o**4 - 86/9*o**2 = 0. Calculate o.
-9, 0, 1, 2
Suppose -40*q + 46 = -38*q + 3*c, q - 4*c - 12 = 0. Suppose 61*b = 57*b + q. Factor 0 - 2*f**3 + 0*f - 4/5*f**2 - 8/5*f**4 - 2/5*f**b.
-2*f**2*(f + 1)**2*(f + 2)/5
Let c(f) = 7*f**2 - 6*f - 70*f + 17*f + f**2 - 42 - 7*f**2. Let s(h) = -h**2 + 29*h + 22. Let l(u) = 4*c(u) + 9*s(u). Determine y so that l(y) = 0.
-1, 6
Suppose -5*v + 4*c = -172 + 132, 3*v - 3*c - 27 = 0. Determine z so that 285*z**2 - 189*z**3 - 75/2*z**5 - 405/2*z**v + 27/2 + 261/2*z = 0.
-3, -1/5, 1
Solve 14*t**2 + 8*t**3 - 431*t**4 + t**5 - 3*t**3 + 423*t**4 = 0 for t.
-1, 0, 2, 7
Let q = 70 + -74. Let d be (0 - (-2)/q) + (-5)/(-2). Factor l**5 + 4*l**2 + 4*l**d + 14 + 0*l**2 - 2*l**3 - 7*l - 12 - 2*l**4.
(l - 1)**4*(l + 2)
Factor 1376/9*z - 2/9*z**2 + 1378/9.
-2*(z - 689)*(z + 1)/9
Factor -221840*a - 111392 + 117*a**4 - 211*a**4 + 940*a**3 - 109506*a**2 + 92*a**4.
-2*(a - 236)**2*(a + 1)**2
Let f = 25107497/21 - 1196117. Let s = 1576/3 + f. Suppose -16/7*c**3 + s - 88/7*c + 10*c**2 = 0. What is c?
3/8, 2
Let q(l) be the first derivative of 2*l**5/75 + 11*l**4/10 - 52*l**3/15 - 56*l**2/3 + 4387. Suppose q(j) = 0. Calculate j.
-35, -2, 0, 4
Let s(z) be the third derivative of z**8/1176 - 2*z**7/735 - z**6/42 + 4*z**5/105 + 11*z**4/28 + 6*z**3/7 + 351*z**2 - z + 4. Suppose s(c) = 0. What is c?
-2, -1, 3
Suppose 0 = 4*t + g - 6*g - 37, g - 4 = -3*t. Factor 8*a**2 - 25*a**t + 20*a**3 + 6*a**3.
a**2*(a + 8)
Determine o, given that -1944/13*o + 342/13*o**3 + 0*o**4 - 2/13*o**5 - 19440/13 + 1836/13*o**2 = 0.
-6, 3, 15
Let k(o) = 756*o - 2085. Let c be k(3). Suppose j + 2 = 5. Solve 183*v - 361*v + c*v - 5*v**j = 0.
-1, 0, 1
Factor 52*j - 40 + 81*j**3 - 8*j**2 + 77*j**3 - 162*j**3.
-4*(j - 2)*(j - 1)*(j + 5)
Let x be -6 - -5 - ((-142)/66 - 6/33). Find d, given that 1/2*d**5 + 10*d**2 + x*d**3 - 17/6*d**4 - 32/3 - 16/3*d = 0.
-4/3, -1, 2, 4
Suppose -100*f + 12 = -96*f. Let g be 40/(-15)*(54/(-24))/f. Factor 0 - 75/4*v + 15/2*v**g - 3/4*v**3.
-3*v*(v - 5)**2/4
Let j = 2074 + -2085. Let o be ((-174)/15 - j)*-5. Solve 2/5*l - 32/5*l**4 - 6/5 + 72/5*l**o + 72/5*l**2 = 0.
-1/2, 1/4, 3
Suppose -c + 4*c - 87 = 0. Let u be 132/609 - (-2)/c. Factor 4/7*p**2 - 4/7 - 2/7*p**3 + u*p.
-2*(p - 2)*(p - 1)*(p + 1)/7
What is r in 4*r**3 + 37412 + 2044*r + 37210 - 73602 + 1028*r**2 = 0?
-255, -1
Suppose 114/11*h**2 - 2/11*h**5 + 0*h + 46/11*h**4 - 158/11*h**3 + 0 = 0. What is h?
0, 1, 3, 19
Suppose -x - 3*t - 13 = 0, -2*t = 3*x + 3*t + 19. Factor -2377*w - 2*w**3 - 29*w**2 + 10*w**x + 139*w**2 + 577*w.
-2*w*(w - 30)**2
Let c(s) be the first derivative of -2*s**3/3 - 5*s**2 - 8*s - 3060. Factor c(n).
-2*(n + 1)*(n + 4)
Let y(a) be the second derivative of 19*a**6/216 - 5*a**5/18 + 5*a**4/72 + 5*a**3/6 + 5*a**2/2 - 63*a. Let i(f) be the second derivative of y(f). Factor i(s).
5*(s - 1)*(19*s - 1)/3
Let v(p) = 217*p + 16278. Let c be v(-75). Suppose 2/3*m + 13/6*m**c - 8/3*m**2 - 1/2*m**4 + 0 = 0. What is m?
0, 1/3, 2
Let k(o) = 666*o - 50614. Let i be k(76). Find h such that 2/13*h**i - 20/13 + 18/13*h = 0.
-10, 1
Let y(q) be the first derivative of 25*q**6/2 + 648*q**5 - 2703*q**4/4 - 904*q**3 + 1314*q**2 - 528*q + 5709. Suppose y(h) = 0. What is h?
-44, -1, 2/5, 1
Let q(z) be the third derivative of z**6/270 - 1616*z**5/135 - 3235*z**4/54 - 3236*z**3/27 - 8*z**2 - 245*z. Factor q(s).
4*(s - 1618)*(s + 1)**2/9
Let r(u) be the third derivative of -u**6/200 - 821*u**5/100 - 168099*u**4/40 + 168921*u**3/10 + 18*u**2 + 41*u. Factor r(s).
-3*(s - 1)*(s + 411)**2/5
Factor -354/5*u**4 + 2204/5*u**3 + 810*u - 250 + 18/5*u**5 - 4668/5*u**2.
2*(u - 1)**3*(3*u - 25)**2/5
Let t = 0 + 1. Suppose 0*u - 80 = -40*u. Factor 1 - 2*h + 1 - t + 3 + u*h**3 - 6*h**2 + 2*h**4.
2*(h - 1)**2*(h + 1)*(h + 2)
Let l = -5661 + 5686. Let p(m) be the second derivative of 2/21*m**3 + 0 + l*m + 1/105*m**6 + 5/42*m**4 + 2/35*m**5 + 0*m**2. Solve p(r) = 0.
-2, -1, 0
Let z = -90 - -28. Let c = 65 + z. Determine g so that -6*g + 25*g**2 - 10 + 45*g - 22*g**c - 4*g + 2*g**3 = 0.
-1, 1/4, 2
Factor -10/3 - 3*f**3 - 1/3*f**4 - 9*f - 25/3*f**2.
-(f + 1)**2*(f + 2)*(f + 5)/3
Let f(x) be the second derivative of -3/5*x**5 + 0*x**2 - 1/3*x**4 - 215*x + 2*x**3 + 2/15*x**6 + 0. Solve f(q) = 0.
-1, 0, 1, 3
Let o(g) be the third derivative of 1/72*g**6 - 86*g**2 + 0*g**4 + 0*g + 0*g**3 + 0 - 1/18*g**5. Factor o(i).
5*i**2*(i - 2)/3
Let h(p) be the first derivative of -71/12*p**4 + 4/15*p**5 - 90 - 126*p**2 - 72*p + 46*p**3. Suppose h(o) = 0. Calculate o.
-1/4, 6
Let y(z) be the first derivative of -z**6/12 - 167*z**5/5 - 27553*z**4/8 + 9352*z**3 - 7056*z**2 + 2247. Factor y(d).
-d*(d - 1)**2*(d + 168)**2/2
Let w(o) be the first derivative of -o**9/1008 + o**8/560 + o**7/280 - o**6/120 + 2*o**3 - 2*o**2 - 62. Let l(n) be the third derivative of w(n). Factor l(r).
-3*r**2*(r - 1)**2*(r + 1)