3)*(m + 6)/8
Find a, given that -3/2*a**4 - 6*a - 2601/2*a**2 + 438*a**3 + 1734 = 0.
-1, 2, 289
Let n(g) be the third derivative of -11/20*g**5 + 0 + 0*g**4 - 9/70*g**7 + 0*g**3 + 21/40*g**6 - 1/112*g**8 - 203*g**2 + 0*g. What is x in n(x) = 0?
-11, 0, 1
Let d(f) be the first derivative of -3*f**5/7 - 141*f**4/28 - 106*f**3/7 - 96*f**2/7 - 249. Let d(n) = 0. What is n?
-32/5, -2, -1, 0
Let d(a) be the first derivative of -2*a**5/15 - 11*a**4/3 + 122*a**3/3 + 3344*a**2/3 - 46208*a/3 - 4850. Find b such that d(b) = 0.
-19, 8
Let a = 192452 - 192446. Let -a*f + 0 - 9/2*f**2 + 3/2*f**3 = 0. What is f?
-1, 0, 4
Let t(o) be the first derivative of -16/7*o - 98 - 15/7*o**2 + 1/14*o**4 - 4/7*o**3. Determine p, given that t(p) = 0.
-1, 8
Solve 0 - 10/3*h + 7/3*h**2 - 1/3*h**3 = 0.
0, 2, 5
Let b(g) be the first derivative of 2*g**3/33 - 108*g**2/11 + 214*g/11 + 1058. Factor b(c).
2*(c - 107)*(c - 1)/11
Let b be ((-48)/112 - (-768)/77) + 87/(-319). Suppose -6/11*n**2 + b + 96/11*n = 0. What is n?
-1, 17
Let n(c) = 10*c - 1. Let d(q) = -4*q**2 + 1184*q + 16. Let v(r) = -d(r) - 16*n(r). Factor v(u).
4*u*(u - 336)
Suppose -w = -b + 23, -2*b + 4*b = 5*w + 43. Factor -4*y**2 + 58 + 250*y + 14 - 262*y - b + 24.
-4*(y - 3)*(y + 6)
Determine n so that -2/19*n**5 + 14/19*n**4 - 12/19*n**3 + 0 - 64/19*n**2 + 64/19*n = 0.
-2, 0, 1, 4
Let n(i) be the first derivative of i**5/15 + 2*i**4/3 + i**3/3 - 16*i**2/3 - 28*i/3 + 2429. Find h such that n(h) = 0.
-7, -2, -1, 2
Let z(o) = 54*o - 213. Let h be z(4). Let w(s) be the first derivative of -9/2*s**2 + 0*s - s**h - 19. Find n, given that w(n) = 0.
-3, 0
Let l(h) be the first derivative of 2*h**5/55 + 19*h**4/66 - 58*h - 78. Let v(k) be the first derivative of l(k). Factor v(w).
2*w**2*(4*w + 19)/11
Factor -34*g**2 + 652*g + 19*g**2 - 433 - 223 + 19*g**2.
4*(g - 1)*(g + 164)
Let u be (12/(-10))/(1/95*-9) + -12. Suppose 5 + 31/3*c + u*c**2 = 0. What is c?
-15, -1/2
Factor 3/2*g**2 - 1764 - 285*g.
3*(g - 196)*(g + 6)/2
Let c(g) = 69 + 2*g - g - 70 + g**2 + 0*g. Let b(d) = 2*d**5 - 20*d**4 + 64*d**3 - 55*d**2 - 69*d + 75. Let j(h) = b(h) + 3*c(h). Suppose j(f) = 0. What is f?
-1, 1, 3, 4
Let f(a) be the first derivative of -a**5/180 - 5*a**4/18 - 19*a**3/18 - 6*a**2 + 50. Let i(x) be the second derivative of f(x). What is p in i(p) = 0?
-19, -1
Let a(j) be the third derivative of j**5/60 - 32*j**3/3 + j**2 - 2108. Factor a(c).
(c - 8)*(c + 8)
Suppose 5*c - 370 = -w, -2*c = 3*w - 3*c - 1142. Factor -32*b + 380 + 5*b**2 - w + 95*b + 117*b.
5*b*(b + 36)
Let h(p) be the second derivative of 11*p**6/2 + 65*p**5/2 - 10*p**4/3 - 211*p + 1. Let h(d) = 0. Calculate d.
-4, 0, 2/33
Find r, given that -8*r + 5*r**4 + 193 - 367 + 65*r**2 - 32*r - 20*r - 30*r**3 + 194 = 0.
1, 2
Suppose 76*f = 66*f + 20. Factor -f*d**2 + 0*d**2 + 20 - 18.
-2*(d - 1)*(d + 1)
Let w be -17 + 810/18 + -25. Factor 3/8*v**w + 3/4*v**2 + 0 + 3/8*v.
3*v*(v + 1)**2/8
Let c(m) be the first derivative of 2/27*m**3 - 2*m + 8/9*m**2 + 3. Factor c(u).
2*(u - 1)*(u + 9)/9
Let q(r) = -29*r**2 - 324*r + 325. Let p(t) = 160*t**2 + 1621*t - 1627. Let l(a) = 6*p(a) + 33*q(a). Determine c, given that l(c) = 0.
1, 321
Let b(d) be the second derivative of d**5/190 + 31*d**4/19 + 2944*d**3/19 + 16928*d**2/19 + 23*d - 30. Determine m so that b(m) = 0.
-92, -2
Let w(k) = 101*k**2 + 5*k + 2. Let q be w(-3). Suppose -896*n + q*n + 64*n**2 - 512 - 2*n**4 = 0. Calculate n.
-4, 4
Find r, given that -42*r - 74*r - 86166*r**3 - r**4 + 34*r**2 + 86195*r**3 - 120 = 0.
-2, -1, 2, 30
Let g(m) be the first derivative of m**4/84 + m**3/14 - 2*m**2/7 + 52*m + 118. Let o(x) be the first derivative of g(x). Factor o(i).
(i - 1)*(i + 4)/7
Let -255*d + 221*d - 735*d - 4048 - 4*d**2 - 259*d = 0. Calculate d.
-253, -4
Let s = 265 + -260. Let l = 5/241 + 919/2169. Factor l*d + 26/9*d**4 - 10/9*d**s - 2*d**3 + 0 - 2/9*d**2.
-2*d*(d - 1)**3*(5*d + 2)/9
Let i be ((-34)/102*27)/(5/(-10)). Let -15/4*l**4 - 291/4*l**2 + i + 51*l**3 + 15/2*l = 0. Calculate l.
-2/5, 1, 12
Solve -4/7*q**5 - 37978787936896/7 - 481964313920/7*q - 7880/7*q**4 - 6209440/7*q**3 - 2446519360/7*q**2 = 0 for q.
-394
Solve 5/3*q**2 - 151/12*q + 1/12*q**3 + 65/6 = 0 for q.
-26, 1, 5
Factor -459/5*h + 1404/5 - 3/5*h**2.
-3*(h - 3)*(h + 156)/5
Let k(a) = -2*a**3 - 12*a**2 - 54*a - 20. Suppose 30 = 14*n + 16. Let u(i) = -2*i**2 + 2*i. Let x(q) = n*k(q) + 6*u(q). Find p such that x(p) = 0.
-10, -1
Factor -4870*l**2 + 4876*l**2 - 3*l + 7*l + 12*l - 120.
2*(l + 6)*(3*l - 10)
Suppose 0 = 4*y - 8*y + 12. Determine h, given that -h**3 + 22*h**2 + 108*h - 29*h**y - 112*h = 0.
0, 1/3, 2/5
Let -4766*j**3 - 1060*j**2 - 4179*j**4 + 0*j**4 + 14*j**5 + 487*j**4 = 0. Calculate j.
-1, -2/7, 0, 265
Let b be 1425/(-45)*2/(2/(-3)). Let s be -4 - 65/(-2)*19/b. Determine a, given that 7/2*a**2 - 1 + 3/2*a**3 - s*a**4 - 3/2*a = 0.
-1, -2/5, 1
Let u(x) be the third derivative of x**7/315 + 17*x**6/60 + 323*x**5/90 + 223*x**4/12 + 44*x**3 + 5*x**2 - 84*x. Solve u(k) = 0.
-44, -3, -1
Let 6226 + 6174 - 29*y + 166*y**2 - 12532 - 5*y**3 = 0. Calculate y.
-4/5, 1, 33
Factor 6660*y**4 - 260*y + 300 + 21*y**2 - 3332*y**4 - 6*y**2 + 30*y**3 - 3333*y**4.
-5*(y - 5)*(y - 2)**2*(y + 3)
Solve -5808/5 - 676/5*m**3 + 13024/5*m - 16/5*m**4 - 6524/5*m**2 = 0 for m.
-22, 3/4, 1
Determine d, given that -30 - 3/7*d**2 - 51/7*d = 0.
-10, -7
Let k be ((22/(-5))/(-11))/(1/5). Suppose 5*c = -j + 70, k*c - 5 = 7*c. Factor -6*n - 18*n + j*n**3 + 4*n**2 - 71*n**3.
4*n*(n - 2)*(n + 3)
Suppose 9*b + 10704 = 10785. Let x(z) be the second derivative of 0*z**2 - 3/100*z**5 + 1/10*z**4 + b*z + 0 - 1/10*z**3. Factor x(y).
-3*y*(y - 1)**2/5
Let n be 305/(-1220) + 3 + -2. Let h(o) be the second derivative of n*o**3 + 3/2*o**2 + 3/160*o**5 + 28*o + 3/16*o**4 + 0. Let h(v) = 0. Calculate v.
-2
Let x(w) = 36*w**3 + 11766*w**2 - 23354*w + 11838. Let q(z) = 5*z**3 + 1681*z**2 - 3338*z + 1691. Let k(p) = -44*q(p) + 6*x(p). Suppose k(r) = 0. Calculate r.
-844, 1
Let i(l) be the third derivative of -1/48*l**6 + 1/60*l**7 - 1/10*l**5 + 5/12*l**3 + 0*l + 1/448*l**8 - 2*l**2 + 10 + 7/96*l**4. Solve i(r) = 0.
-5, -1, -2/3, 1
Suppose 82*q = 5*q - 66*q + 858. Determine n, given that -63/4*n + q*n**2 + 27/4 + 4*n**3 = 0.
-3, 3/4
Let w(x) be the third derivative of -x**5/40 + 3449*x**4/8 - 11895601*x**3/4 - x**2 + 2*x + 626. Factor w(z).
-3*(z - 3449)**2/2
Determine d so that -65*d**3 + 86*d + 18 - 240*d**2 + 49*d - 56 + 38 + 10*d**4 = 0.
-3, 0, 1/2, 9
Let h(l) = -4*l**3 + l**2 + 1. Let m be h(0). Let k be -1 + (-20)/(-16)*m. Determine g so that k*g - 1/4 + 1/4*g**2 - 1/4*g**3 = 0.
-1, 1
Let d(y) be the second derivative of -y**4/12 + 163*y**3/3 - 324*y**2 - 52*y + 122. Factor d(h).
-(h - 324)*(h - 2)
Let i(g) = -3*g**3 + 8*g**2 + 19*g + 26. Let w be i(-7). Let s = w - 1311. Factor -2/13*h**2 + 0 + 2/13*h**4 + 2/13*h - 2/13*h**s.
2*h*(h - 1)**2*(h + 1)/13
Let t be ((-5)/70)/((-136)/272). Find f, given that t*f**2 + 289/7 - 34/7*f = 0.
17
Let x(j) = -j - 10. Let a be (-8)/12 + (-120)/9. Let b be x(a). Factor -4*m**2 - 11*m**b + 15*m**4 + 0*m**2 - 8*m**3 + 8*m.
4*m*(m - 2)*(m - 1)*(m + 1)
Find s, given that 257*s**3 - 3*s - 27*s - 319 + 788*s**2 - 191*s**3 - 34*s - 20*s**4 - 449 - 2*s**5 = 0.
-8, -1, 1, 6
Suppose 0 = -2*x - 5*r + 20, 3*x + 34 - 14 = 5*r. Let w(m) be the first derivative of 4/5*m**5 - 2*m**4 + 0*m + 1 + x*m**2 + 0*m**3. Factor w(a).
4*a**3*(a - 2)
Let z(y) be the second derivative of -y**6/15 - 229*y**5/5 - 1072*y. Determine v so that z(v) = 0.
-458, 0
Let u be (-2 + 13/((-26)/(-4)))/6. Let g = -101 + 103. Factor u + 2/7*d + 8/7*d**g.
2*d*(4*d + 1)/7
Let h be (-2)/((-64)/9)*21752/8157. Suppose -h*j**2 + 63/4 + 15*j = 0. What is j?
-1, 21
Factor -6/11*a**4 + 0 + 40/11*a**3 - 78/11*a**2 + 36/11*a.
-2*a*(a - 3)**2*(3*a - 2)/11
Factor 46*v**4 + v - 72*v**3 + 16*v**4 + 60*v**2 - 34*v**4 - 17*v.
4*v*(v - 1)**2*(7*v - 4)
Let x(g) be the second derivative of -g**7/126 - 47*g**6/180 - 103*g**5/40 - 385*g**4/72 - 121*g**3/36 + 1320*g - 1. Let x(p) = 0. What is p?
-11, -1, -1/2, 0
Let z(f) be the first derivative of 10/17*f**2 + 96 + 16/17*f - 2/17*f**3. What is n in z(n) = 0?
-2/3, 4
Let b(g) be the first derivative of -g**6/2 + 36*g**5/5 - 33*g**4 + 38*g**3 + 135*g**2/2 - 150*g + 9254. Suppose b(a) =