o + i*o**3 + 6*o**x + 32*o + 2*o**5 - 10*o = 0. Calculate o.
-2, -1
Let d(p) be the third derivative of 0*p**3 + 13/60*p**6 - 1/9*p**5 + 4/315*p**7 + 0*p**4 + 59*p**2 + 0*p + 0. Determine l, given that d(l) = 0.
-10, 0, 1/4
Let w = 675292 + -675290. Factor -12*v**w - 10*v - 2/3*v**3 + 68/3.
-2*(v - 1)*(v + 2)*(v + 17)/3
Let q(j) be the third derivative of -1/16*j**4 + 0*j**6 + 0 + 0*j**3 + 1/280*j**7 - 126*j**2 + 0*j - 3/80*j**5. Find k such that q(k) = 0.
-1, 0, 2
Let n(w) be the third derivative of 10*w**2 - 3/20*w**5 + 1/60*w**6 + 3/70*w**7 + 1/12*w**4 - 1/84*w**8 + 0*w + 0*w**3 + 0. Let n(f) = 0. Calculate f.
-1, 0, 1/4, 1, 2
Let n(g) be the third derivative of -g**6/120 + 13*g**5/40 - 11*g**4/4 - 4*g**3/3 + 9*g**2. Let f(q) be the first derivative of n(q). Factor f(x).
-3*(x - 11)*(x - 2)
Let d(t) = 1136*t**2 + 1136*t + 2. Let k be d(-1). Suppose -3*u + 3/2*u**k + 3/2 = 0. What is u?
1
Suppose 0 = 2*d - 4*n + 14, 0 = -31*d + 36*d - 4*n + 35. Let g(p) = -p**3 - 6*p**2 + 7*p. Let a be g(d). Factor 2/7*x**2 + a + 6/7*x.
2*x*(x + 3)/7
Let o(x) be the first derivative of -113/4*x**2 - 10 + 37*x + 1/2*x**3. Let o(d) = 0. Calculate d.
2/3, 37
Let f = 667534 - 667532. Solve -240/7*p**f - 232/7 + 4/7*p**3 + 468/7*p = 0.
1, 58
Let k(f) be the third derivative of -f**5/270 - 115*f**4/108 - 218*f**3/9 + 134*f**2 + 2*f - 4. Factor k(g).
-2*(g + 6)*(g + 109)/9
Let -1934*b + 89*b**3 - 38*b**3 - 23*b**3 - 391*b**2 - 29*b**3 - 1904 + 360 = 0. What is b?
-386, -4, -1
Let s(o) be the second derivative of -2/17*o**2 + 1/17*o**3 + 170*o + 1/34*o**4 - 7/170*o**5 + 0 + 1/85*o**6. Determine i, given that s(i) = 0.
-2/3, 1
Let b = -12533 - -12538. Let z(w) be the second derivative of -2*w**2 - 3/20*w**b + 0 - 11/12*w**4 + 26*w - 2*w**3. Factor z(u).
-(u + 1)*(u + 2)*(3*u + 2)
Let g be (-2)/9 - (-16)/(-9). Let t be (-132)/(-63) + g/21. Find i, given that -80 - i**t + 80 - i**3 = 0.
-1, 0
Let x(j) = j**2 + 679*j - 666. Let w(b) = 5*b**2 + 2721*b - 2663. Let f(g) = 2*w(g) - 9*x(g). Determine n, given that f(n) = 0.
1, 668
Let u(c) be the first derivative of 2*c**3/15 - 288*c/5 + 6599. Find v such that u(v) = 0.
-12, 12
Let m(d) be the third derivative of 0*d**3 + 5/4*d**6 + 35 + 8/15*d**7 + 0*d**4 - 7/24*d**8 + 0*d + d**2 + 3/5*d**5. Suppose m(j) = 0. What is j?
-3/7, 0, 2
Let y(h) be the third derivative of 0*h**3 + 7/90*h**5 - 1/360*h**6 + 0 - 1/3*h**4 + 6*h - 7*h**2. Solve y(m) = 0.
0, 2, 12
Let x = 1903/195 + -126/13. Let c(j) be the first derivative of 0*j + 0*j**4 - x*j**2 + 1/45*j**6 + 4/75*j**5 + 15 - 4/45*j**3. Factor c(g).
2*g*(g - 1)*(g + 1)**3/15
Suppose -41 = -6*l + 91. Solve 22*h - h**2 + 11*h + 15 - 8*h + 8*h + l*h**2 + 3*h**3 = 0.
-5, -1
Let w(i) = 8*i**2 + 20*i + 16. Let n(y) = 18*y + 16 - 7*y**2 + 16*y**2 + 3*y. Let a be (2/6 + -2)*6*(-2)/4. Let u(g) = a*w(g) - 4*n(g). Let u(z) = 0. What is z?
-2
Suppose 0 = -2*o - o + 45. Suppose 8*s - 3*s = o. Factor -l**5 + 2*l - 2*l**5 - 6*l**5 - 4*l**s + 11*l**5.
2*l*(l - 1)**2*(l + 1)**2
What is w in 609/5*w**4 - 5319/5 + 3573/5*w + 942*w**2 - 714*w**3 - 3/5*w**5 = 0?
-1, 1, 3, 197
Suppose -3*u + 2*n = 0, 2*u - 12*n = -13*n + 7. Determine a, given that -985 - 530*a**3 - 270*a**u + 1025 - 105*a**4 - 165*a**2 + 30*a = 0.
-4, -1, -1/3, 2/7
Let m(f) be the first derivative of -22*f**3/3 + 1351*f**2/3 + 164*f/3 - 997. Factor m(g).
-2*(g - 41)*(33*g + 2)/3
Let j(c) be the second derivative of -5*c**7/21 + 18*c**6/5 + 371*c**5/50 - 4*c**4 - 148*c**3/15 + 48*c**2/5 + 3168*c. What is k in j(k) = 0?
-1, 2/5, 12
Determine v, given that -1604/7*v - 360/7*v**2 - 136 - 8/7*v**4 + 284/7*v**3 = 0.
-1, 7/2, 34
Let j be (66/14)/(8525/13950). Determine f, given that -81/7*f - j - 30/7*f**2 - 3/7*f**3 = 0.
-6, -3, -1
Let h(q) be the second derivative of -q**4/4 + 57*q**3/2 - 810*q**2 - 8*q + 597. What is b in h(b) = 0?
12, 45
Let q(o) be the second derivative of o**4/6 - 37*o**3/3 - 38*o**2 - 4864*o. Determine b so that q(b) = 0.
-1, 38
Let r be (-6 - (-24)/6)/(-1) - -27. Factor 3*f**2 - 10*f**2 - 39*f - r*f**2 + 3*f**3.
3*f*(f - 13)*(f + 1)
Let z(g) = 4*g**3 + g**2 - 2*g + 3. Let u = -183 - -191. Let l(s) = 11*s**3 + 2*s**2 - 7*s + 10. Let h(q) = u*z(q) - 3*l(q). Factor h(r).
-(r - 3)*(r - 1)*(r + 2)
Let z be ((-1)/(-2)*4)/((-8)/(-52)). Factor -49*a - 5*a - 9*a - 32*a**2 - z*a + 4*a**3 - 40.
4*(a - 10)*(a + 1)**2
Let d(y) be the second derivative of -3*y**5/20 - 59*y**4/2 - 233*y**3/2 - 174*y**2 + 978*y. Factor d(c).
-3*(c + 1)**2*(c + 116)
Let n(l) = l**2 + 14*l - 29. Suppose -84 = 5*i - 2*r, 4*i + 54 = -2*r - 3*r. Let o be n(i). Factor 5*x**4 - 6*x**4 + 46 - 24*x + 4*x**3 - 5*x**2 + 2*x**o - 10.
-(x - 3)**2*(x - 2)*(x + 2)
Let m(u) be the second derivative of -u**5/20 + 157*u**4/12 - 2788*u**3/3 - 23534*u**2 + 6170*u. Factor m(b).
-(b - 82)**2*(b + 7)
Let a(h) be the first derivative of -9 + 7*h**3 - 84*h + 0 + 2 + 144*h**2 - 12. Solve a(n) = 0.
-14, 2/7
Suppose 194/7*n**2 - 16/7*n**5 - 96/7*n - 32/7 - 12/7*n**4 + 262/7*n**3 = 0. What is n?
-4, -1, -1/4, 1/2, 4
Let k(d) be the first derivative of -4*d**3/3 + 12552*d**2 - 39388176*d - 9898. Factor k(i).
-4*(i - 3138)**2
Let u(s) be the first derivative of s**3/7 - 3186*s**2/7 + 3383532*s/7 - 2195. Let u(x) = 0. Calculate x.
1062
Suppose 0 = 64*h - 18*h - 188 + 50. Let m(t) be the second derivative of 49/2*t**2 - 24*t + 0 + 1/4*t**4 - 1/140*t**5 - 7/2*t**h. Factor m(y).
-(y - 7)**3/7
Let h(r) be the third derivative of -1/9*r**4 - 1/15*r**5 + 13/180*r**6 + 1/42*r**7 + 0 + 3*r + r**2 + 0*r**3. Suppose h(f) = 0. Calculate f.
-2, -2/5, 0, 2/3
Let h = 25 + -22. Find f, given that 8894*f + f**h + 3*f**2 - 8894*f = 0.
-3, 0
Suppose 0 = u + 3*r - 14, -3*r = -6 - 6. Factor -114*v + 5*v**3 + 111*v - u*v**3 + 36 - 36*v**2.
3*(v - 12)*(v - 1)*(v + 1)
Let y be (-4812)/(-4) - (1581/(-1428) - (-1)/4). Factor 3/7*j**2 - 318/7*j + y.
3*(j - 53)**2/7
Suppose 0 = -3*i - 2*g + 4, -2*g + 3 = 2*i - g. Let p be 39/(-26) + 3/i + 2. Solve -14*f - 12*f**3 - 2*f**4 - p*f + 68*f**2 - 92*f**2 = 0 for f.
-2, 0
Let j = 26813/60 + -5353/12. Determine f, given that -j + 8/5*f - 4/5*f**2 = 0.
1
Let y(r) be the second derivative of r**7/252 + 17*r**6/180 - 5*r**5/8 - 317*r**4/72 - 173*r**3/18 - 10*r**2 - 2419*r. Factor y(z).
(z - 6)*(z + 1)**3*(z + 20)/6
Let o = -351058 - -1755294/5. Determine f, given that -1/5*f**2 - o - f = 0.
-4, -1
Let g(m) be the third derivative of -2/15*m**5 + 0 - 1/2*m**4 + 0*m**3 + 1/30*m**6 - 2*m + 21*m**2. Factor g(u).
4*u*(u - 3)*(u + 1)
Let j(s) be the second derivative of s**7/189 - 16*s**6/135 - 13*s**5/45 + 532*s**4/27 - 1991*s**3/27 + 968*s**2/9 + 2364*s. Find d, given that j(d) = 0.
-8, 1, 11
Suppose -10*c - v - 3497 = -14*c, 6 = 2*v. Let i be 10/c*30 - 2/10. Determine m, given that 0 + 2/7*m + i*m**2 - 1/7*m**4 - 3/7*m**3 + 1/7*m**5 = 0.
-1, 0, 1, 2
Let h(t) be the third derivative of 1/35*t**7 + 17/100*t**6 + 124*t**2 + 1/560*t**8 + 0*t + 13/25*t**5 + 37/40*t**4 + 0 + t**3. Factor h(z).
3*(z + 1)**3*(z + 2)*(z + 5)/5
Suppose -20*u - 280 = -30*u. Solve -4*x**2 - 23*x**3 + 73*x**2 + u*x**3 - 60 - 192*x + 16*x**3 = 0.
-5, -2/7, 2
Let m(z) = -3*z**3 + 44*z**2 + 59*z + 2. Let j(i) = -7*i**3 + 89*i**2 + 126*i + 5. Let r(h) = 4*j(h) - 10*m(h). Factor r(a).
2*a*(a - 43)*(a + 1)
Let p = -20 + 18. Let i(b) = -2*b**3 - 3*b**2 + b + 2. Let r be i(p). Factor -h - 4*h**3 + 3*h**r - 5*h**2 - h - 4*h**4.
-h*(h + 1)**2*(h + 2)
Let j(n) be the third derivative of -1/80*n**6 + 0 + 0*n - 1/2*n**4 - n**3 + n**2 - 1/8*n**5. Determine a, given that j(a) = 0.
-2, -1
Let m be (4 - 124/32)*(-18)/(-12). Let b(h) be the second derivative of m*h**2 + 12*h + 1/96*h**4 - 1/12*h**3 + 0. Factor b(w).
(w - 3)*(w - 1)/8
Let d(n) be the second derivative of -11*n**6/90 + 331*n**5/60 + 221*n**4/12 + 289*n**3/18 - 16*n**2/3 + 4067*n. Suppose d(v) = 0. What is v?
-1, 1/11, 32
Let g = -19 + 29. Let z be -5*((-38)/g + 3). Let -6*j**4 + 3*j**4 + z*j**4 - 13*j**5 + 14*j**5 = 0. What is j?
-1, 0
Let c(r) be the second derivative of -r**7/280 - r**6/10 - 11*r**5/40 - r**3/6 + 35*r**2/2 - 105*r + 2. Let w(g) be the second derivative of c(g). Factor w(l).
-3*l*(l + 1)*(l + 11)
Let j(r) be the second derivative of 0 + 145*r - 1/210*r**5 + 0*r**2 - 8/63*r**3 + 1/21*r**4. Factor j(f).
-2*f*(f - 4)*(f - 2)/21
Let g(p) 