lve 0 + r*o + 2/9*o**3 + 1/9*o**4 + 1/9*o**2 = 0 for o.
-1, 0
Let k(b) be the second derivative of b**5/150 - 79*b**4/45 + 2132*b**3/15 - 4056*b**2/5 - 4968*b. Factor k(c).
2*(c - 78)**2*(c - 2)/15
Factor -57651*v**2 + 57655*v**2 + 396 - 62*v - 18*v.
4*(v - 11)*(v - 9)
Let f = 54 - 61. Let l(z) = z**2 + 9*z + 19. Let r be l(f). Factor 5*q**2 - 121*q**4 - 8*q**2 + 130*q**4 - 6*q**r.
-3*q**2*(q - 1)**2*(2*q + 1)
Let u be ((-54)/(-10))/((-6)/(-30)). Let w = -3 + u. Factor -9*h + w*h**4 + 2*h**2 - 11*h**2 - 21*h**4 + 3*h.
3*h*(h - 2)*(h + 1)**2
Let o be (-419)/(-6) - (-30)/180. Let k be 15/(-24)*(-56)/o. Determine l, given that -1/4 + k*l + 0*l**2 - 1/2*l**3 + 1/4*l**4 = 0.
-1, 1
Determine n so that 48*n**3 + 17*n**5 + 116*n**2 - 59*n**4 + 8*n**3 - 33*n**5 + 7*n**5 + 10*n**5 = 0.
-1, 0, 2, 58
Let h(d) = 4*d + 53. Let u be h(-12). Suppose 26*k + 66082*k**4 - u*k**5 - 66077*k**4 + 4*k - 65*k**2 + 35*k**3 = 0. What is k?
-3, 0, 1, 2
Suppose -648*x - 2*f = -645*x + 4, 0 = 4*x - 5*f - 33. Let c(t) be the first derivative of -48*t**x + 4/5*t**5 - 10*t**4 - 25 + 0*t + 112/3*t**3. Factor c(b).
4*b*(b - 6)*(b - 2)**2
Let g(q) = -6*q**3 + 106*q**2 - 1540*q + 2704. Let r(t) = -8*t**3 + 105*t**2 - 1530*t + 2704. Let l(b) = 3*g(b) - 2*r(b). Factor l(w).
-2*(w - 26)**2*(w - 2)
Let a be -14*((2275/(-28))/(-13) - 7)*2. Let r(j) be the third derivative of -a*j**2 - 1/60*j**5 - 1/3*j**3 + 1/8*j**4 + 0*j + 0. Suppose r(p) = 0. Calculate p.
1, 2
Suppose -2*h - 14 = -4*f, 40 = 5*h + 6*f - f. Suppose -11*p - 68 + 123 = 0. Suppose 3*b**3 - 6*b**4 + 9*b**4 + 4*b**3 - h*b**2 - b**5 - 6*b**p = 0. What is b?
-1, 0, 3/7, 1
Let h(v) be the third derivative of -v**7/3780 + v**5/180 + v**4/54 + 11*v**3/6 + 35*v**2. Let c(g) be the first derivative of h(g). Factor c(p).
-2*(p - 2)*(p + 1)**2/9
Suppose 5*g = 5*w - 65, w - 1868 = 6*g - 1800. Factor -1/6*u**w + 0*u + 1/6.
-(u - 1)*(u + 1)/6
Let w(x) be the third derivative of 1/240*x**5 - 1/16*x**4 + 60*x**2 + 3/8*x**3 + 0 + 0*x. Find y such that w(y) = 0.
3
Factor 52 + 235*z**2 - 119*z + 38 + 13*z + z**3 - 223*z**2 + 3*z.
(z - 5)*(z - 1)*(z + 18)
Let z be (5 - -1)/((-21)/(-1883)). Let q = -535 + z. What is f in 5/11*f**2 + 6/11*f + 1/11*f**q + 0 = 0?
-3, -2, 0
Let c(k) be the third derivative of -k**8/252 - k**7/10 + 8*k**6/9 - 11*k**5/5 + 10*k**4/9 + 523*k**2. Find a such that c(a) = 0.
-20, 0, 1/4, 2
Let p(f) = f**3 + 10*f**2 - 5*f + 71. Let c be p(-20). Let l be (3282/c)/((-6)/28 + 0). Factor -3/8*y**2 - 9/8*y**3 - 3/8*y**5 - 9/8*y**l + 0*y + 0.
-3*y**2*(y + 1)**3/8
Let k = -3/12599 - -12608/37797. Let n(s) be the second derivative of -5/9*s**3 + 5/9*s**4 - 2*s + 0 + 1/9*s**6 - 1/3*s**5 - 1/63*s**7 + k*s**2. Factor n(p).
-2*(p - 1)**5/3
What is c in -13996*c**3 - 13483*c**4 - 18*c**5 + 7*c**5 + 13871*c**4 - 1827584*c + 7*c**5 + 233420*c**2 + 5451776 = 0?
11, 32
Let c(i) be the third derivative of 26*i**7/35 + 137*i**6/30 + 82*i**5/15 - 34*i**4/3 + 16*i**3/3 + 31*i**2 - 9*i + 1. Suppose c(r) = 0. Calculate r.
-2, 2/13, 1/3
Let l(x) be the second derivative of x**5/100 - 7*x**4/60 - 24*x**3 + 4698*x**2/5 - 4307*x. Let l(o) = 0. What is o?
-29, 18
Let u(j) be the second derivative of j**5 + 10/3*j**3 - 1/6*j**6 - 70*j**2 - 17*j + 1 + 35/4*j**4. Factor u(v).
-5*(v - 7)*(v - 1)*(v + 2)**2
Let y(q) be the first derivative of q**5/40 + q**4/12 - q**3/12 - q**2/2 + 85*q + 100. Let t(o) be the first derivative of y(o). Suppose t(z) = 0. What is z?
-2, -1, 1
Suppose -35*l + 52 = -22*l. Factor -112*y**3 + y**4 + l*y**4 + 117*y**3.
5*y**3*(y + 1)
Solve -364/3*t**3 + 0 + 3280/3*t**2 + 1200*t + 4/3*t**5 - 40/3*t**4 = 0.
-9, -1, 0, 10
Let i be (86/9)/2 - (-27986)/125937. What is d in 14/3*d**4 - 2/3*d**i + 10/3*d**2 + 0*d + 0 - 22/3*d**3 = 0?
0, 1, 5
Let m(g) = -3*g**3 + g**2 - 4*g + 2. Let h be 2/(-2) - (-112)/28 - 0. Let t(p) = 4*p**3 + p**2 + 3*p - 3. Let u(k) = h*m(k) + 2*t(k). Factor u(f).
-f*(f - 3)*(f - 2)
Suppose 0*d = 2*d - 4*d + 4. Factor -1/5*b**d + 3/5*b + 0.
-b*(b - 3)/5
Let -102*y**4 - 1026 - 227*y**3 - 250*y**3 + 192*y**2 + 9*y + 15*y**3 + 3*y**5 + 463*y + 923*y = 0. What is y?
-3, 1, 38
Suppose 0 = -2*c - q + 6, -125*c + 118*c = q - 26. Factor -1/2*j**4 + c*j**2 - 7/2*j**3 + 0 + 0*j.
-j**2*(j - 1)*(j + 8)/2
Suppose 4*n - 6 = 6, 4*l + 22 = 2*n. Let h be 1 - (13/l - 3/(-12)). Suppose 4*b**4 - 3*b**2 - 3*b**h + 2*b**2 = 0. What is b?
-1, 0, 1
Suppose -4*a = -8, 0 = -3*i - 3*a + 15 + 45. Suppose -74 - i = -23*v. Factor -6*h**3 + 1 - 7/3*h**4 + 2/3*h - v*h**2.
-(h + 1)**3*(7*h - 3)/3
Suppose 10*p**5 + 517*p**4 + 24*p**2 - 509*p**4 - 22*p**3 - 11*p**5 - 9*p = 0. Calculate p.
0, 1, 3
Let x = -323000 - -323003. Suppose -1/3*i**x + 5/3*i**2 - 8/3*i + 4/3 = 0. Calculate i.
1, 2
Let n = -90571 - -90580. Find o, given that n*o**2 + 3/4*o**3 - 39/2 - 45/4*o = 0.
-13, -1, 2
Let c(u) be the second derivative of 16/7*u**2 + 46/21*u**4 + 29/35*u**5 - 68*u + 0 - 1/147*u**7 + 4/35*u**6 + 3*u**3. What is v in c(v) = 0?
-1, 16
Let o(b) be the first derivative of b**3/3 + 5*b**2/2 - 50*b - 4273. Let o(g) = 0. Calculate g.
-10, 5
Let y(j) = j**3 - 67*j**2 - 149*j + 759. Let m be y(69). Let d(p) be the second derivative of 34*p - 1/24*p**3 + 1/48*p**4 + 0*p**2 + m. Factor d(l).
l*(l - 1)/4
Let q(p) = 6*p + 163. Let y be q(-28). Let i(o) = 22*o + 112. Let z be i(y). Factor -2/13*h**4 + 8/13*h + 0*h**z + 0 - 6/13*h**3.
-2*h*(h - 1)*(h + 2)**2/13
Let d = -349357 + 349359. What is h in -h**3 + 0 + 0*h - h**5 + 10/3*h**d - 16/3*h**4 = 0?
-5, -1, 0, 2/3
Let u(i) be the third derivative of i**7/7980 + i**6/1710 - 2*i**5/285 - 10*i**3 + 40*i**2. Let r(t) be the first derivative of u(t). Factor r(m).
2*m*(m - 2)*(m + 4)/19
Let g = -31/1141 + 2100705/4564. Let r = -458 + g. Solve 0*f + 3/4*f**2 + 0 + r*f**4 + 3/4*f**5 + 9/4*f**3 = 0 for f.
-1, 0
Let b = -14104 + 14106. Let p = 8/117 + 2/13. Factor -8/9*l**b + 2/9*l**4 - p*l**3 + 0 + 8/9*l.
2*l*(l - 2)*(l - 1)*(l + 2)/9
Let l(x) = 3*x**3 + x**2 - x + 1. Let n be l(1). Let p = -170 - -172. Factor 12*m**p + 36*m**2 + 2*m + 14*m + n*m**3 - 64 - 4*m**4.
-4*(m - 4)*(m - 1)*(m + 2)**2
Let n(x) be the second derivative of -64/13*x**2 + 0 - 1/78*x**4 + 5/3*x**3 + 250*x. Factor n(j).
-2*(j - 64)*(j - 1)/13
Let i(m) = 9*m - 10. Let t be i(6). Suppose 2 = -2*k, 4*k + t = 4*d - 0*k. Factor -12 - 13 + d + 20*o - 5*o**2.
-5*(o - 3)*(o - 1)
Let g(k) be the third derivative of k**5/180 + 29*k**4/72 - 22*k**3/3 + 22*k**2 - 5*k - 2. Find u, given that g(u) = 0.
-33, 4
Factor -112 - 2/5*m**3 + 68/5*m**2 + 494/5*m.
-2*(m - 40)*(m - 1)*(m + 7)/5
Let d be (0 - 1)/(1642 - 1644). Factor -d - 1/2*m**3 - 3/2*m**2 - 3/2*m.
-(m + 1)**3/2
Let k(h) = -h**2 + 812*h + 7392. Let c be k(-9). Solve 4/3 + 4/3*a**4 - 16/3*a + 8*a**2 - 16/3*a**c = 0.
1
Let o(x) be the third derivative of x**5/6 + 137*x**4/2 - 165*x**3 + 1230*x**2. Factor o(m).
2*(m + 165)*(5*m - 3)
Solve 84 - 3*x**2 + 408/5*x - 3/5*x**3 = 0.
-14, -1, 10
Let q(f) be the third derivative of 0 + 46*f**2 + 0*f - 3*f**4 + 0*f**3 - 1/60*f**6 + 2/5*f**5. Factor q(h).
-2*h*(h - 6)**2
Let s(l) be the third derivative of 61*l**5/180 - 121*l**4/18 - 16*l**3/9 - 6031*l**2. Factor s(a).
(a - 8)*(61*a + 4)/3
Factor -5*v**2 + 9501*v**4 - 108*v**3 + 13*v**2 - 9617*v**4.
-4*v**2*(v + 1)*(29*v - 2)
Let h(m) be the third derivative of m**6/120 + 11*m**5/6 + 71*m**4/8 - 54*m**3 - m**2 - 439. What is n in h(n) = 0?
-108, -3, 1
Factor -938*a**2 - 3451*a - 22950 - 5779*a - 697*a**3 + 695*a**3.
-2*(a + 5)**2*(a + 459)
Factor -9/7 - 10/7*a + 10/7*a**3 + 1/7*a**4 + 8/7*a**2.
(a - 1)*(a + 1)**2*(a + 9)/7
Let g(n) be the third derivative of 2*n**2 - 7/300*n**5 + 1/1050*n**7 + 3/5*n**3 + 1/8*n**4 + 44 - 1/200*n**6 + 0*n. Solve g(b) = 0.
-2, -1, 3
Let f(g) be the first derivative of -g**5/54 - 17*g**4/108 - 2*g**3/9 + 87*g**2/2 - 82. Let m(b) be the second derivative of f(b). Factor m(v).
-2*(v + 3)*(5*v + 2)/9
Let l(t) be the first derivative of t**6/51 + 12*t**5/85 + 6*t**4/17 + 20*t**3/51 + 3*t**2/17 - 6108. Factor l(y).
2*y*(y + 1)**3*(y + 3)/17
Factor -2/7*w**2 - 3200/7 - 3202/7*w.
-2*(w + 1)*(w + 1600)/7
Let p be (-2*2/(-48))/((-20 + 14)/(-54)). Suppose -5*o - 20 = 3*n, n + o + 4 = -n. Find r such that -p + 3/2*r**2 - 3/4*r**4 + 0*r + n*r**3 = 0.
-1, 1
Let y(s) = 74*s**2 - 1008*s - 3116. Let d(a) = 1