c - 2. Let s(g) be the first derivative of p(g). Let s(l) = 0. What is l?
-5, 3
Determine k so that 496/7*k**2 + 500/7 - 2/7*k**3 + 998/7*k = 0.
-1, 250
Let y(m) be the second derivative of 54*m**6/5 + 198*m**5/5 - 572*m**4/3 - 560*m**3/3 - 64*m**2 + 4846*m. Solve y(a) = 0.
-4, -2/9, 2
Let p(w) be the second derivative of -w**3 - 29/16*w**4 - 1/40*w**6 + 18*w**2 - 3/8*w**5 - 2*w + 13. Find l such that p(l) = 0.
-4, -3, 1
Suppose -5*i = -2*w - 6, -2 = i - 3*w - 11. Let p be (-48)/372 - (-1717)/1054. Suppose 1/2*k**2 - p*k + i = 0. Calculate k.
0, 3
Let m(y) be the second derivative of y**5/150 - 37*y**4/90 + 56*y**3/9 + 80*y**2 - 668*y. Factor m(n).
2*(n - 20)**2*(n + 3)/15
Let g(w) = -w**2 + 21*w - 85. Let j be g(15). Suppose -j*q + 25 = 5*s, 32*s - 31*s + 13 = 5*q. Factor -o**q + o - 1/2*o**4 + 0 + 1/2*o**2.
-o*(o - 1)*(o + 1)*(o + 2)/2
Let g = -443 + 310. Let u be g/(-49) + 46/14 + -3. Let -3/2 + 21/2*z**2 - 9/4*z - 9*z**4 - u*z**3 + 21/4*z**5 = 0. What is z?
-1, -2/7, 1
Let k(z) be the first derivative of z**4/36 - 4*z**3/27 - 55*z**2/6 + 3955. Factor k(g).
g*(g - 15)*(g + 11)/9
Let h(a) = a**3 + 149*a**2 - 300*a + 304. Let g be h(-151). Suppose 1/5*q**g - 8/5*q + 12/5 = 0. What is q?
2, 6
Let -48 + 38*i**2 - 23*i**2 - 52*i - 9*i**2 - 10*i**2 + 0 = 0. Calculate i.
-12, -1
Let f(p) be the second derivative of -p**4/6 - 17*p**3/3 + 110*p**2 + 138*p. Suppose f(b) = 0. Calculate b.
-22, 5
Let o be (26 + -25)/(0 + -1). Let b(m) = m**2 + 36*m + 260. Let z(s) = -s - 1. Let p(l) = o*b(l) - 4*z(l). Determine i so that p(i) = 0.
-16
Let q(w) be the third derivative of 5/24*w**3 - 1/480*w**6 + 0 + 1/80*w**5 + 3/32*w**4 + 0*w - 57*w**2. Let q(y) = 0. Calculate y.
-1, 5
Let v(l) be the second derivative of -l**4/24 + 17*l**3/12 - 21*l**2/2 - 486*l. Factor v(t).
-(t - 14)*(t - 3)/2
Let -64/3 + 76/3*l**4 + 6*l**5 - 96*l**2 + 16/3*l**3 - 352/3*l = 0. What is l?
-2, -2/9, 2
Let t(b) = -b**3 + b. Let f = 128 - 127. Let m(a) = -4*a**5 + 8*a**4 - 4*a**3 - 8*a**2 + 8*a. Let l(r) = f*m(r) - 4*t(r). Factor l(j).
-4*j*(j - 1)**3*(j + 1)
Suppose -3*v + 7*v = 8. Suppose u = 5*u - 4*j - 316, -v*u + 4*j = -148. Determine h, given that -180*h**2 - 222*h + 273*h + 51*h**2 + u*h**3 - 6 = 0.
1/4, 2/7, 1
Let y(h) be the second derivative of h**7/2 - 307*h**6/30 + 1949*h**5/30 - 397*h**4/3 + 364*h**3/3 - 160*h**2/3 + 770*h. Determine g so that y(g) = 0.
2/7, 2/3, 5, 8
Factor 2/11*z**2 + 373248/11 - 1728/11*z.
2*(z - 432)**2/11
Let o(x) = -24*x**3 - 704*x**2 + 2756*x - 2736. Let c(y) = 17*y**3 + 703*y**2 - 2755*y + 2736. Let n(i) = 4*c(i) + 3*o(i). Determine w so that n(w) = 0.
2, 171
Suppose 18*g**2 + 4*g**2 - 24*g**2 + 258*g - 83*g**2 - 48*g + 5*g**3 = 0. What is g?
0, 3, 14
Suppose -4/13*r - 96/13 + 2/13*r**4 - 24/13*r**3 + 66/13*r**2 = 0. What is r?
-1, 2, 3, 8
Suppose 0 = r + 2, -13*b - 16*b + 33*b - 3*r = 7*b. Factor 169/2 - 13*p + 1/2*p**b.
(p - 13)**2/2
Suppose 4*k = 3*l + 11, 5*l - 604 = k - 611. Let 3/4*r - 3*r**k + 3 - 3/4*r**3 = 0. What is r?
-4, -1, 1
Let i(d) be the second derivative of 3*d**6/2 + 1104*d**5 + 673430*d**4/3 - 603520*d**3 + 605160*d**2 + 4375*d. Suppose i(m) = 0. What is m?
-246, 2/3
Let n = -1234/431 + 2899/862. Factor n*y**3 + 64 - 62*y + 14*y**2.
(y - 2)**2*(y + 32)/2
Let p(c) = -65*c - 150. Let y be p(2). Let t = -276 - y. Let 0*h**2 + 0*h - 4/3*h**3 - 2/3*h**5 + 0 - 2*h**t = 0. Calculate h.
-2, -1, 0
Factor -1040 + 3*o**3 - 279 - 106 - 1197*o - 186*o**2 - 411.
3*(o - 68)*(o + 3)**2
Let a = -55136111/5 - -216519535912/19635. Let y = 1/561 + a. Find u such that -3/7*u + 1/7*u**2 - y = 0.
-2, 5
Let q(b) = -b + 1. Let m(z) = 41. Let l(p) = -m(p) + 5*q(p). Let k be l(-8). Let -k*v**3 + 15*v**2 - 5*v**3 - 10*v + 16*v = 0. Calculate v.
-1/3, 0, 2
Suppose -3*b - 12 = -4*c - 37, 3*c + 15 = b. Determine m so that -36*m**2 - 32 - 28*m - 28*m + 4*m**4 - 10*m**b - 3*m**4 - 2*m**4 = 0.
-4, -2
Let h be 33/(-22)*(-8)/3. Suppose -3*n = -h*k - 7, 5*k - 2*k = 5*n - 19. Suppose 0*o**2 + 10 + 281*o - 296*o + n*o**3 + 0*o**2 = 0. Calculate o.
-2, 1
Let g(u) be the second derivative of -u**5/30 + 292*u**4/9 - 84677*u**3/9 - 171698*u**2/3 + 9388*u. Determine a so that g(a) = 0.
-2, 293
Let s(d) = -50*d**3 + 17*d**2 - d - 2. Let q be s(-2). Factor -22*l**2 + 5*l**3 + 618 + 182*l**2 - q + 305*l.
5*(l + 1)**2*(l + 30)
Suppose 0 = 511*q - 485*q - 260. Let m(n) be the second derivative of 1/45*n**6 - q*n - 1/6*n**5 - 4/9*n**3 + 0*n**2 + 0 + 4/9*n**4. Factor m(v).
2*v*(v - 2)**2*(v - 1)/3
Factor -108/7 + 30/7*d**3 + 258/7*d + 6/7*d**4 - 186/7*d**2.
6*(d - 2)*(d - 1)**2*(d + 9)/7
Let a be ((-150)/9)/(-5)*1/55. Let h(p) be the first derivative of -4/11*p**2 + 10 + 1/22*p**4 + 8/11*p - a*p**3. Let h(w) = 0. What is w?
-2, 1, 2
Let p(m) be the second derivative of m**5/15 - 3*m**4/2 + 35*m**2 - 13*m + 4. Let y(k) be the first derivative of p(k). Suppose y(r) = 0. What is r?
0, 9
Determine c, given that 333 - 478*c + 29*c**2 - 383*c - 398*c + 929*c - 32*c**2 = 0.
-111, 1
Solve 4/3*p**2 - 340/3*p - 7/3*p**4 + 61/3*p**3 - 32 = 0.
-2, -2/7, 3, 8
Let m(p) be the third derivative of 2*p**7/735 + 19*p**6/105 + 85*p**5/21 + 578*p**4/21 - 529*p**2 - 1. Solve m(b) = 0.
-17, -4, 0
Factor -19*d**3 - 503*d**3 + 2127*d**3 - 24*d**4 + 21*d**4 - 981552*d**2 + 1827*d**3.
-3*d**2*(d - 572)**2
Let l(q) be the second derivative of -5*q**4/84 - 1027*q**3/42 + 309*q**2/7 - 2*q - 347. Find j, given that l(j) = 0.
-206, 3/5
Let w(r) = r**2 + 2*r - 1. Suppose 7*f - 18 = -2*f. Let q(o) = -2*o**2 + 28*o - 38. Let x(h) = f*w(h) - q(h). Solve x(v) = 0 for v.
3
Let z(b) be the first derivative of -1/420*b**6 + 5/2*b**2 + 6 + 0*b**4 + 1/70*b**5 + 0*b - 4/21*b**3. Let j(h) be the second derivative of z(h). Factor j(x).
-2*(x - 2)**2*(x + 1)/7
Let u(j) be the second derivative of -3*j**5/140 - j**4/14 + 53*j**3/14 - 135*j**2/7 - 423*j. Factor u(p).
-3*(p - 5)*(p - 2)*(p + 9)/7
Suppose -5*z - 15 = 3*k, 5*k + 2*z + 22 + 3 = 0. Let v(a) = a**3 + 4*a**2 - 8*a - 11. Let b be v(k). Factor c**2 - 9*c + 0*c**2 - 2*c + 8*c - b.
(c - 4)*(c + 1)
Let p = -182 - -194. Let 96 + 2*g**4 + 2*g**4 - 1228*g + 1244*g - 72*g**2 + p*g**3 = 0. What is g?
-6, -1, 2
Let u(o) be the first derivative of -o**6/240 - 9*o**5/160 - 7*o**4/24 - 3*o**3/4 - o**2 - 293*o - 186. Let g(w) be the first derivative of u(w). Factor g(f).
-(f + 1)*(f + 2)**2*(f + 4)/8
Factor 92 - 145 - 80*x + 155 - 20*x - 2*x**2.
-2*(x - 1)*(x + 51)
Let j be (-51)/(-12)*4 + (-297)/18. Solve 0 - 41/2*v - j*v**2 = 0 for v.
-41, 0
Let m be -5 - 28/((-5040)/1044). Suppose 0 - z**4 + 0*z**2 - m*z**3 - 1/5*z**5 + 0*z = 0. What is z?
-4, -1, 0
Let g = -14528 - -43682/3. Let y(b) be the first derivative of 68/9*b**3 + 5/12*b**4 - g*b + 217/6*b**2 - 29. Solve y(w) = 0 for w.
-7, 2/5
Let q = 2634 - 2632. Factor -1/2*o**q - o + 3/2.
-(o - 1)*(o + 3)/2
Let g be ((-2)/4)/((-13)/(-26)). Let b be g*((-2)/(-4))/(4/(-32)). Factor -4/3*u**b - 1/3*u**2 + 5/3*u**3 + 0 + 0*u.
-u**2*(u - 1)*(4*u - 1)/3
Let m be 2*23*3/6. Suppose -4*h + 0*h + 5*y = 13, -h - 4*y = -m. Suppose 5*a**2 + 29*a + h + 56*a + 12 - 65*a = 0. What is a?
-3, -1
Let v(o) be the third derivative of o**8/168 - o**7/105 - o**6/2 - 62*o**2 + 8*o + 2. Let v(q) = 0. Calculate q.
-5, 0, 6
Let t = 6304/4737 - -4/1579. Let u(f) be the first derivative of 1 - f**2 + t*f + 2/9*f**3. Suppose u(k) = 0. Calculate k.
1, 2
Let a(p) be the third derivative of p**8/336 - 7*p**7/30 + 34*p**6/5 - 1216*p**5/15 + 512*p**4/3 + 326*p**2. Suppose a(r) = 0. Calculate r.
0, 1, 16
Let m = 209542/3 + -69834. Determine k so that -m*k + 5/3*k**2 - 20 + 5/3*k**3 = 0.
-2, 3
Let u = 90 - 220. Let b = u - -134. Factor 0*p**2 + 0 - 4/5*p**3 + 0*p + 2/5*p**b.
2*p**3*(p - 2)/5
Let g = -52 + 56. Factor -3*z - 37*z + 10*z - z**3 - 35*z**2 - g*z**3.
-5*z*(z + 1)*(z + 6)
Let u(c) be the third derivative of -c + 1/12*c**4 + 0 + c**2 + 2*c**3 - 1/6*c**5. Determine i so that u(i) = 0.
-1, 6/5
Suppose -5*b + 5*q + 60 = 0, 8*b + 4*q - 50 = 5*b. Suppose 0 = b*v - 63 + 7. Solve 0*n**2 + 2/5*n**3 - n**5 + 0*n - 3/5*n**v + 0 = 0.
-1, 0, 2/5
Find j such that -325/4*j**2 - 255/4*j + 5/4*j**4 - 65/4*j**3 + 0 = 0.
-3, -1, 0, 17
Let t be (-13)/60 + 1972/8874. Let a(w) be the third derivative of 0 + 1/18*w**4 + 0*w**3 + t*w**5 + 39*w**2 + 0*w. Determine l, given that