+ 10/7*x**4 + 0 = 0. Calculate x.
-1, -2/5, 0, 2
Let u(d) be the third derivative of 1/126*d**7 + 1/18*d**6 + 1/12*d**5 + 0*d**4 - 24*d**2 + 0*d + 0*d**3 + 0. What is c in u(c) = 0?
-3, -1, 0
Factor 0 - 142/9*d + 73/9*d**2 + 70/9*d**3 - 1/9*d**4.
-d*(d - 71)*(d - 1)*(d + 2)/9
Let g(l) = 2*l**5 + l**4 + 2*l**3 + l**2 - 2. Let m(d) = -7*d**5 - 20*d**4 - 13*d**3 + 76*d**2 + 72*d + 4. Let s(n) = -2*g(n) - m(n). Solve s(j) = 0.
-4, -3, -1, 0, 2
Suppose -97*q = -167*q + 85*q. Let v(f) be the third derivative of 0*f**3 - 12*f**2 + 1/28*f**5 + q*f**4 + 0 + 0*f + 1/280*f**6. Factor v(o).
3*o**2*(o + 5)/7
Let j = -27 + 48. Let u be (4/(-3))/(((-154)/j)/11). Factor 148 + 146 - 37*m**2 + 3*m**3 + 15*m + m**u + 48*m.
3*(m - 7)**2*(m + 2)
Let n = 2206 - 2202. Let p(z) be the first derivative of 1/27*z**6 - 8/45*z**5 + 4/9*z + 7 - 5/9*z**2 + 4/27*z**3 + 2/9*z**n. Determine o so that p(o) = 0.
-1, 1, 2
Let o(h) be the first derivative of -h - 1/4*h**2 + 1/6*h**3 + 26. Factor o(x).
(x - 2)*(x + 1)/2
Factor 306 - 47*l - 2*l**2 + 65*l - 53*l + 3*l**2.
(l - 18)*(l - 17)
Suppose -5*d = -5*g + 55, 3*g - 20 - 7 = 5*d. Factor 34*r**2 - 1 + 2 - g*r + 15*r**2.
(7*r - 1)**2
Let v be (-21)/(-42)*(6 + 0). Factor -3*g**4 - g**4 + 4*g**2 - 5*g**v + 6*g**4 - 89*g + 88*g.
g*(g - 1)**2*(2*g - 1)
Let j be 0 + 64/(-3)*90/(-40). Let a be 12/(-14)*(-224)/j. Find i, given that a*i + 4672 + 2*i**2 - 2*i**3 - 4672 = 0.
-1, 0, 2
Let -105/2*o**2 - 106*o - 2*o**3 + 5/2*o**4 - 58 = 0. What is o?
-2, -1, 29/5
Let d(q) be the second derivative of 19*q**7/105 + 31*q**6/25 + 14*q**5/25 - 26*q**4/5 + 16*q**3/15 + 151*q. Solve d(g) = 0.
-4, -2, 0, 2/19, 1
Let t(p) be the second derivative of -4/5*p**2 + 17/30*p**3 + 1 + 1/100*p**5 - 23*p - 1/6*p**4. Let t(b) = 0. Calculate b.
1, 8
Let v be (3 - 2)*(-15 - -15)/41. Factor v*w + 0 - 1/2*w**2 - 1/2*w**3.
-w**2*(w + 1)/2
Determine b so that 696/7*b + 1404/7 - 3/7*b**2 = 0.
-2, 234
Let k(q) = -1013*q**2 + 24320*q - 190. Let p be k(24). Find g, given that 4*g + 5/7*g**p + 15/7 = 0.
-5, -3/5
Let w(p) be the third derivative of 0 + 0*p**3 + 1/105*p**7 + 0*p - 1/5*p**5 - 42*p**2 + 0*p**4 + 1/12*p**6. Factor w(v).
2*v**2*(v - 1)*(v + 6)
Factor -411*y + 9*y**2 + 202*y + 198*y + 2.
(y - 1)*(9*y - 2)
Let h = -689521 + 689521. Factor 81/2*s**4 + 0 + h*s - 10*s**3 - 2*s**5 + 0*s**2.
-s**3*(s - 20)*(4*s - 1)/2
Let c be (15/(-6))/((-1590)/7208). Solve -2*f**5 + c*f**4 - 64/3*f + 56/3 + 70/3*f**3 - 30*f**2 = 0 for f.
-2, -1, 2/3, 1, 7
Suppose -16 + 24 = 2*w - 4*x, 4*x = -10*w - 8. Factor 10*v**3 + 0 + 2/3*v**4 + 28/3*v**2 + w*v.
2*v**2*(v + 1)*(v + 14)/3
Let m(l) = l**2 - l - 39. Let o be m(-6). Factor 83*s - 7 + o*s**2 - 42 - 97*s - 4*s**2.
-(s + 7)**2
Suppose 0 = -141*u + 2697*u - 5112. Suppose 9/8*h**4 + 0 + 3/8*h**u + 3/8*h - 15/8*h**3 = 0. Calculate h.
-1/3, 0, 1
Let h(m) = -5*m**3 - m**2 - 1. Let t be h(-1). Factor -t*r**5 + 6*r**3 - 3*r - 956 + 956.
-3*r*(r - 1)**2*(r + 1)**2
Let r(p) be the second derivative of -p**7/294 + p**6/7 - 12*p**5/5 + 119*p**4/6 - 147*p**3/2 + 221*p - 7. Factor r(m).
-m*(m - 9)*(m - 7)**3/7
Let u = 695 - 692. Find w, given that -100*w**2 + 157 + 4*w**4 + 30*w - 30*w**u - 82 - 7*w**4 + 28*w**2 = 0.
-5, -1, 1
Find b, given that -1152*b**3 + 2543*b**2 - 3*b**4 + 762*b**3 - 15218*b**2 = 0.
-65, 0
Suppose -321*g + 63*g + 274 = -27*g - 94*g. Factor -6/5*s**g + 42/5 - 36/5*s.
-6*(s - 1)*(s + 7)/5
Let y = 78347 + -626771/8. Factor y*z**2 + 0 + 1/8*z**3 + 3/4*z.
z*(z + 2)*(z + 3)/8
Let i(l) be the second derivative of l**6/10 + 15*l**5/4 + 99*l**4/2 + 208*l**3 - 960*l**2 - 16*l - 233. Solve i(d) = 0 for d.
-10, -8, 1
Let j be ((-187)/(-44) - 3) + 6/(-6). Determine l so that 2 + l - 5/4*l**3 - j*l**4 - 3/2*l**2 = 0.
-2, 1
Let a(h) be the third derivative of h**6/1800 + 17*h**5/200 - 13*h**4/30 - 67*h**3/3 + 32*h**2. Let n(l) be the first derivative of a(l). Factor n(u).
(u - 1)*(u + 52)/5
Let i(y) = -y**3 - y**2 - y + 4. Let v(b) = 5*b**3 - 3371*b**2 + 947533*b - 88752168. Let f(u) = i(u) + v(u). Factor f(m).
4*(m - 281)**3
Let z(y) = -331*y**2 + 149*y - 31. Suppose 14 = c + 3. Let p(f) = -4 - 706*f**2 + 30*f + 640*f**2 - 2 + 0. Let b(s) = c*p(s) - 2*z(s). Solve b(n) = 0.
1/4
Let n(o) be the first derivative of -o**6/2 + 12*o**5/5 + 33*o**4/4 + 6*o**3 - 1810. Let n(c) = 0. What is c?
-1, 0, 6
Let x(f) = 5*f + 22. Let r be x(-4). Find a, given that -1506*a**2 + 3032*a**2 - 20*a**4 + 5*a**5 - 5*a**3 - 1506*a**r = 0.
-1, 0, 1, 4
Let g = 6630/1463 + -276/77. Factor 4/19 - 22/19*l**2 + g*l.
-2*(l - 1)*(11*l + 2)/19
Let o be (-4)/(-10) + 772/40*-28. Let b = o - -4321/8. Factor 5/8*a - 1/2 - b*a**2.
-(a - 4)*(a - 1)/8
Let r = 11531 + -11531. Let s(w) be the third derivative of 0*w**3 + 0*w + 0*w**4 + 0 + r*w**5 - 1/48*w**6 - 1/84*w**7 + 8*w**2. Factor s(f).
-5*f**3*(f + 1)/2
Let -2*m**3 + 15*m**5 + 8*m**2 - 11*m + 10*m**2 - 18*m**4 - 10*m**3 + 8*m = 0. Calculate m.
-1, 0, 1/5, 1
Let v(y) be the second derivative of -y**4 - 3262*y**3/3 + 1088*y**2 + 107*y. Suppose v(r) = 0. What is r?
-544, 1/3
Let y(b) = -7*b**3 + 16*b**2 - 17*b + 2. Let j(l) = 120*l**3 - 270*l**2 + 290*l - 35. Let p(w) = 2*j(w) + 35*y(w). Factor p(h).
-5*h*(h - 3)*(h - 1)
Let w(r) = -3*r**5 - 15*r**4 - 9*r**3 + 45*r**2. Let t(j) = -j**2. Let v(s) = -18*t(s) - w(s). Find x, given that v(x) = 0.
-3, 0, 1
Let i(h) be the first derivative of -3*h**4/2 - 51*h**3 + 54*h**2 + 780*h + 2734. Factor i(v).
-3*(v + 2)*(v + 26)*(2*v - 5)
Let u(l) be the first derivative of -l**4/18 - 1252*l**3/27 + 2516*l**2/9 - 560*l - 3065. What is g in u(g) = 0?
-630, 2
Determine p so that 7/3*p**2 + 46*p - 40/3 = 0.
-20, 2/7
Suppose -2*r = -3*l - 19, 5*r - 4*l - 25 = 5. Let z(m) = -43*m + 86. Let k be z(r). Factor 0*s + k + 2/5*s**2.
2*s**2/5
Let x(i) be the second derivative of 0 + 0*i**2 + 9/32*i**4 + 0*i**3 - 1/16*i**6 + 9/160*i**5 - 133*i + 1/112*i**7. Find y, given that x(y) = 0.
-1, 0, 3
Let u(b) be the first derivative of 0*b**2 + 1/45*b**5 + 0*b**4 - 31/3*b**3 + 0*b - 42 - 1/1080*b**6. Let r(c) be the third derivative of u(c). Factor r(j).
-j*(j - 8)/3
Let g(c) be the second derivative of 2/69*c**3 + 1/46*c**4 + 10 - 1/483*c**7 - 1/115*c**6 - 1/230*c**5 + 0*c**2 - c. Solve g(l) = 0.
-2, -1, 0, 1
Factor 1668 + 4748 - 2672 + 3264*u + u**4 + 3*u**3 - 478*u**2.
(u - 12)**2*(u + 1)*(u + 26)
Let l(x) be the second derivative of x**6/5 - 117*x**5/20 - 13*x**4 + 312*x**3 + 480*x**2 - 1325*x. Suppose l(m) = 0. Calculate m.
-4, -1/2, 4, 20
Determine q so that 4*q**3 - 984*q**2 + 15189 - 103676*q + 3*q**4 - 1589 + 98796*q + q**4 = 0.
-10, 2, 17
Suppose 3*r + 8 = 2, 5*t - r - 72 = 0. Let l be -20*(t/(-12) + 4/6). Factor -9*u**5 - l*u**2 + 5*u**2 - 24*u**4 - u**2 - 21*u**3.
-3*u**2*(u + 1)**2*(3*u + 2)
Suppose -29*w - 5*o - 29 = -26*w, 5*w + 6*o = -32. Let l(v) be the first derivative of 0*v - 2/3*v**w + 1/2*v**4 - 50/27*v**3 + 31. Factor l(f).
2*f*(f - 3)*(9*f + 2)/9
Let u(l) be the first derivative of -l**4/4 - l**3 - 13*l**2/2 - 7*l - 85. Let p(g) = -4*g**3 - 8*g**2 - 39*g - 21. Let z(i) = -6*p(i) + 21*u(i). Factor z(q).
3*(q - 7)*(q + 1)**2
Let k(s) be the first derivative of -s**5/60 - s**4/24 + s**3/3 + 171*s**2/2 + 77. Let d(z) be the second derivative of k(z). Find c, given that d(c) = 0.
-2, 1
Let u = -15/792632 + 992392409/905978376. Let o = u + 2/127. Factor -8/9 + o*v**2 + 16/9*v.
2*(v + 2)*(5*v - 2)/9
Let d = 435038/17 - 25599. Let l = 759/85 + d. Suppose -2/15*n**2 - 4/15*n + l = 0. What is n?
-3, 1
Let r(b) be the second derivative of -2*b**7/63 + b**6/15 - b**5/30 - 9*b + 30. Factor r(p).
-2*p**3*(p - 1)*(2*p - 1)/3
Let d be (-24)/26*(-151944)/31168. Determine k, given that -d*k - 1/4*k**2 + 0 = 0.
-18, 0
Solve -82/5 - 131/2*r + 2/5*r**2 = 0.
-1/4, 164
Let p(y) be the second derivative of 1/18*y**4 + 7/9*y**3 + 0 + 10/3*y**2 - 6*y. Solve p(m) = 0 for m.
-5, -2
Let o = 99251/2 - 49625. Factor 0*t + 0 - 1/2*t**4 - o*t**2 - t**3.
-t**2*(t + 1)**2/2
Let n(o) = o**3 + 6*o**2 - o - 4. Let t be n(-6). Let v = -2277/122 - -7319/366. Factor -v*b**3 + 0*b + 0*b**2 + 0 - t*b**5 + 10/3*b**4.
-2*b**3*(b - 1)*(3*b - 2)/3
Let h(k) = -15*k**4 + 195*k**3 + 1980*k**2 - 2420*k - 60. Let f(n) = -n**4 - n**3 - 11*n**2 - 3. Let t(b) = -20*f(b) + h(b). Factor t(w).
5*w*(w - 1)*(w + 22)**2
Let k(m) = -m**3 - 2*