ative of -5*f**8/336 + 27*f**7/14 - 235*f**6/24 + 25*f**5/4 + 295*f**4/6 - 130*f**3 - 839*f**2. Suppose o(b) = 0. What is b?
-1, 1, 2, 78
Let c(l) be the second derivative of -10*l - 1/2*l**2 - 1/270*l**5 + 0*l**3 - 1/108*l**4 + 0. Let y(s) be the first derivative of c(s). Factor y(x).
-2*x*(x + 1)/9
Let c(z) be the second derivative of -z**4/48 + 553*z**3/12 - 305809*z**2/8 - z + 1954. Factor c(y).
-(y - 553)**2/4
Let y(n) be the third derivative of -n**8/784 - n**7/35 + 69*n**6/280 - 27*n**5/70 - 116*n**2 - 4*n. Let y(g) = 0. Calculate g.
-18, 0, 1, 3
Let f(r) be the second derivative of -r**5/70 + 2*r**4/7 - 3*r**3/7 - 22*r**2/7 + 1357*r. Suppose f(q) = 0. What is q?
-1, 2, 11
Let j(u) be the first derivative of 22*u + 1/14*u**4 - 4/7*u**2 - 4/21*u**3 - 16. Let i(w) be the first derivative of j(w). Factor i(q).
2*(q - 2)*(3*q + 2)/7
Suppose 0 = -50*p + 49437 - 49337. Determine x so that -1/2*x**p + 23/2 - 11*x = 0.
-23, 1
Let h(s) be the third derivative of s**8/24 - 362*s**7/315 + 1037*s**6/252 - 1913*s**5/315 + 41*s**4/9 - 40*s**3/21 - 68*s**2 - s + 2. Solve h(g) = 0 for g.
2/7, 2/3, 1, 15
Let u(q) = -79*q**2 - 521*q - 4946. Let o(p) = 297*p**2 + 2085*p + 19785. Let l(w) = 4*o(w) + 15*u(w). Solve l(z) = 0.
-165, -10
Let h(x) be the third derivative of -x**7/1365 + 311*x**6/780 - 616*x**5/195 + 307*x**4/39 - 5417*x**2. Factor h(o).
-2*o*(o - 307)*(o - 2)**2/13
Factor -885686*r**2 + 611*r + 877281*r**2 - 2251*r - 80.
-5*(41*r + 4)**2
Let i(q) be the first derivative of -q**4/4 - 109*q**3/6 + 42*q**2 + 6630. Solve i(d) = 0 for d.
-56, 0, 3/2
Suppose -152/13*k + 24/13 - 826/13*k**2 = 0. What is k?
-2/7, 6/59
Factor 40/7*b**3 + 0 - 2/7*b**4 + 36/7*b - 74/7*b**2.
-2*b*(b - 18)*(b - 1)**2/7
Factor 1/2*x**2 + 45/2*x + 82.
(x + 4)*(x + 41)/2
Suppose -5*y + 2*f + 12 = 0, 2*f - 3 + 5 = 0. Let k be (-330)/17 + 31*2580/3999. Let -k*n + 2/17*n**y + 0 = 0. Calculate n.
0, 5
Factor -282*a - 24*a**2 + 19*a**4 + 3*a**5 + 18*a**3 + 5*a**4 - 284*a - 278*a + 823*a.
3*a*(a - 1)*(a + 1)**2*(a + 7)
Let n(j) be the second derivative of 49/3*j**3 + 91 + 0*j**2 - 7/3*j**4 + 1/10*j**5 + 3*j. What is b in n(b) = 0?
0, 7
Let g(a) be the first derivative of a**3/3 - 14*a**2 - 30. Let r(f) = -3*f**2 + 27*f. Let u(i) = 3*g(i) + 2*r(i). Factor u(n).
-3*n*(n + 10)
Find m, given that 0 + 12/5*m - 2/5*m**4 + 14/5*m**3 - 2/5*m**5 + 26/5*m**2 = 0.
-2, -1, 0, 3
Suppose -5*x + 18 = 4*w, -4*x + 2*w - 6 = -10. Solve 4*h - 7*h + 8*h + 2*h**x - 3*h = 0.
-1, 0
Let j(x) = -16*x - 28. Let f be j(-4). Solve -f*v + 2 + 9*v**2 + 17*v + 30*v = 0 for v.
-1, -2/9
Let y = -961/10 + 197/2. Let y*q + 1/5*q**2 + 4 = 0. Calculate q.
-10, -2
Find z such that 10*z**3 + 215*z**2 - 6*z**3 - 3*z**3 + 75*z + 139*z = 0.
-214, -1, 0
Let r = -89 - -94. Let d(z) be the third derivative of 20*z**2 - 1/60*z**6 + 0*z**4 - 1/60*z**r + 0 + 0*z - 1/210*z**7 + 0*z**3. Solve d(a) = 0.
-1, 0
Let l be 13160/525 - 25 - (-1)/3. Let 4/5 + l*u**2 + 6/5*u = 0. Calculate u.
-2, -1
Let l(h) be the second derivative of 13*h**5/20 + 3*h**4/2 - 26*h**3/3 - 36*h**2 - 339*h. Factor l(j).
(j - 2)*(j + 2)*(13*j + 18)
Factor -1066 - 1175 + 2*k**2 + k**2 + 51*k - 1243 + 3070.
3*(k - 6)*(k + 23)
Let z(r) = -r**2 - 4452*r - 254849. Let l be z(-58). Solve -1/2*h**2 - l*h - 5/2 = 0.
-5, -1
Let j(i) be the third derivative of 0*i - 2*i**3 + 2/5*i**5 - 224*i**2 - 2/35*i**7 + 1/12*i**4 + 0 + 1/168*i**8 - 1/30*i**6. Determine h so that j(h) = 0.
-1, 1, 6
Let r = 1550/63 - 1529/63. Factor 0*g**3 - g**2 - 2/3*g + r*g**4 + 0.
g*(g - 2)*(g + 1)**2/3
Let y = -583 - -587. Let k be ((-48)/(-32))/((-33)/(-4)). Factor 2/11*a**3 + 2/11*a**y + 0*a - k*a**2 + 0 - 2/11*a**5.
-2*a**2*(a - 1)**2*(a + 1)/11
Let p = -1813 - -1817. Let o(l) be the second derivative of -1/24*l**p - 1 + 3/2*l**3 + 8*l - 81/4*l**2. Factor o(g).
-(g - 9)**2/2
Suppose -246 + 13*n**2 + 16*n**2 + 249*n - 52*n**2 + 20*n**2 = 0. Calculate n.
1, 82
Let r(o) = 206*o + 7 - 98*o - 107*o. Let d be r(9). Solve d*t - 3408 + t**5 + 3408 - 8*t**3 = 0.
-2, 0, 2
Suppose -14*j + 10*j = -284. Let n(c) = 57*c + j - 10*c**2 - 254 + 2*c**2. Let l(g) = -15*g**2 + 115*g - 365. Let d(k) = -3*l(k) + 5*n(k). Factor d(u).
5*(u - 6)**2
Factor -12*z**2 + 4*z**3 + 16*z - 1/2*z**4 - 8.
-(z - 2)**4/2
Let s = -1282 + 1263. Let r(l) = -7*l - 131. Let t be r(s). Factor -2/3*i**3 + 0*i - 2/3*i**5 + 5/3*i**4 + 0 + 0*i**t.
-i**3*(i - 2)*(2*i - 1)/3
Solve 1211*c - 3499*c - 2*c**2 - 795405 + 141037 = 0 for c.
-572
Let l be ((-1088)/1680 + (-4)/14)*(-15)/105. Factor l*g**2 + 8/5*g - 56/15.
2*(g - 2)*(g + 14)/15
Let g = 22681/90820 - -6/22705. Factor 2*f**2 + 11/2 - 31/4*f + g*f**3.
(f - 2)*(f - 1)*(f + 11)/4
Factor 1579*d**3 - 358*d**2 + 4509*d + 4864*d**2 - 1582*d**3.
-3*d*(d - 1503)*(d + 1)
Let h(n) be the first derivative of -n**3/6 - 85*n**2/4 - 237*n + 14207. Determine u, given that h(u) = 0.
-79, -6
Let o be (5/((-100)/(-4)))/((-6)/(-60)). Factor -155*m**o + 2*m**4 + 153*m**2 + 2*m**5 - 2*m**3 + 6*m - 6*m.
2*m**2*(m - 1)*(m + 1)**2
Factor 1/3*t**3 - 24 - 14/3*t**2 + 19*t.
(t - 8)*(t - 3)**2/3
Let x be -3*(-4 - (5 - 8)). Determine q, given that 521*q - 1045*q + 520*q + q**x = 0.
-2, 0, 2
Let f = -28/233 - -8938/699. Factor -f*b - 1/3*b**2 - 361/3.
-(b + 19)**2/3
Let j(f) be the third derivative of f**8/14 - 194*f**7/105 + 743*f**6/48 - 4669*f**5/120 + 841*f**4/24 + 54*f**2 + 16. Suppose j(v) = 0. Calculate v.
0, 2/3, 1, 29/4
Let w(l) = 6*l - 40. Let y be w(7). Let a be y/7 + 2*6/(-336). Factor -1/2*s + 1/4*s**2 + a.
(s - 1)**2/4
Let l be 19/((-266)/(-108)) + (-4)/(-14). Let -19*w**3 + w**3 + w**2 - 12 + 19*w**3 - l*w = 0. What is w?
-2, 3
Let j = 4/117207 - -937628/820449. Let j - 2/7*q**2 + 0*q = 0. What is q?
-2, 2
Let v be (0 + 2)/2 + (-210)/21. Let k be (-1634)/(-2736) + 2/v. Find s such that -k*s**2 + 1/2 + 0*s + 1/8*s**3 = 0.
-1, 2
Suppose 5*n = -5*i + 20, 4*i - 10 = 2*n - 12. Factor -26484*r - 2*r**3 + 26496*r - r**3 - 12*r**2 + n*r**4.
3*r*(r - 2)*(r - 1)*(r + 2)
Let 213*o - 450 + 7*o**5 + 110*o**3 - 196*o - 4*o**5 + 100*o**2 - 10*o**4 - 482*o - 8*o**5 = 0. Calculate o.
-5, -2, -1, 3
Let y be (1/14)/((-7)/(-56)). Suppose 1311*s - 1309*s = 0. Find n, given that 0*n + 0 + s*n**2 + y*n**4 + 4/7*n**3 = 0.
-1, 0
Let w = -170 + 170. Suppose w = -0*p - 2*p + 4*q, 5*p - 5*q = 10. Factor -5/3*a**2 + 2/3*a + 1/3*a**p + 0 - 1/3*a**5 + a**3.
-a*(a - 1)**3*(a + 2)/3
Let w(f) be the second derivative of f**6/75 - 23*f**4/30 - 6*f**3/5 + 8*f**2 - f - 2891. Determine j, given that w(j) = 0.
-4, -2, 1, 5
Solve 4704/5*q - 940 - 4/5*q**2 = 0 for q.
1, 1175
Let g = 10366552/1413621 + 2/1413621. What is k in 6*k**3 + g*k + 14*k**2 - 2/3*k**4 + 0 = 0?
-1, 0, 11
Let g(v) = -4*v + 39. Let h = 47 + -38. Let m be g(h). Factor 124*c**5 + 30*c**m + 3*c + 2*c - 20*c**4 - 20*c**2 - 119*c**5.
5*c*(c - 1)**4
Let u = -142 - -194. Let -4*z**3 + 52*z - u*z**2 - 75*z**2 + 79*z**2 = 0. Calculate z.
-13, 0, 1
Suppose 216*m = 211*m + 10. Suppose m*h = -h + 12. Factor 10 + 25*c**3 - c**h - c**4 + 75*c**2 + 7*c**4 - 30*c**2 + 35*c.
5*(c + 1)**3*(c + 2)
Let x(m) be the third derivative of 3*m**6/20 + 208*m**5/15 + 497*m**4/12 + 30*m**3 - 2267*m**2. Let x(p) = 0. What is p?
-45, -1, -2/9
Let o(y) be the first derivative of -y**6/160 + y**5/20 + y**4/8 - 2*y**3 - y**2 + 29*y + 41. Let r(n) be the second derivative of o(n). Factor r(q).
-3*(q - 4)*(q - 2)*(q + 2)/4
Let g(c) be the third derivative of c**8/120960 - c**7/7560 + c**6/1080 + c**5/30 - 2*c**4/3 + 35*c**2. Let f(k) be the third derivative of g(k). Factor f(r).
(r - 2)**2/6
Let m(w) be the second derivative of 0 - 115*w + 0*w**3 + 0*w**2 - 3/2*w**4 + 0*w**5 + 1/15*w**6. Find y such that m(y) = 0.
-3, 0, 3
Let m(r) = r**4 - r**3 - 10*r**2 - 11*r + 27. Let f(j) = -j**4 + 2*j**3 + 9*j**2 + 10*j - 28. Let t(h) = -3*f(h) - 4*m(h). Let t(a) = 0. What is a?
-4, -2, 1, 3
Let 578/3*a - 2/3*a**2 + 580/3 = 0. What is a?
-1, 290
Suppose 2*x + 4*y - 21706 = 0, -x - 6*y = -2*y - 10861. Let 10785*o**2 - x*o**2 - 6*o**3 + o**3 + 65*o = 0. What is o?
-13, 0, 1
Let c(t) be the first derivative of 5*t**5/7 - 2015*t**4/28 + 56*t**3 + 968*t**2/7 - 1280*t/7 + 4978. Solve c(d) = 0 for d.
-1, 4/5, 80
Let i = -248/29 - -8242/957. Let j(v) be the second derivative of 0 - i*v**3 + 3/11*v**2 - 23*v - 1/66*v**4. 