g(x) be the first derivative of 0*x**2 - 9/28*x**4 + 147 + 6/35*x**5 + 1/14*x**6 + 0*x + 0*x**3. Factor g(a).
3*a**3*(a - 1)*(a + 3)/7
Solve 3/2*m**4 + 0 + 0*m - 9*m**2 - 3/2*m**3 = 0 for m.
-2, 0, 3
Let h = -656 - -658. Factor -2*z**2 + 6*z**h + 400*z - 396*z.
4*z*(z + 1)
Let g(f) be the third derivative of -22/3*f**3 + 0*f + 0*f**4 + 0 - 7/90*f**5 - 34*f**2 - 1/270*f**6. Let l(n) be the first derivative of g(n). Factor l(j).
-4*j*(j + 7)/3
Suppose 117*t - 114*t = 9. Let l(n) be the second derivative of 5/3*n**t + 5/12*n**4 + 0 + 0*n**2 - 2*n. Factor l(w).
5*w*(w + 2)
Let o(u) be the third derivative of u**7/315 + 37*u**6/180 + 77*u**5/30 - 245*u**4/4 + 136*u**2 - 4. Factor o(k).
2*k*(k - 5)*(k + 21)**2/3
Let v(f) be the third derivative of f**8/90720 + f**7/3240 - f**6/405 - f**5/15 + f**3/3 + 32*f**2. Let z(m) be the third derivative of v(m). Factor z(b).
2*(b - 1)*(b + 8)/9
Let s(u) be the first derivative of u**4/10 - 64*u**3/5 - 99*u**2/5 + 388*u/5 + 13093. Solve s(x) = 0.
-2, 1, 97
Factor 110*k**2 + 120*k**2 - 340*k**2 + 106*k**2 - 4500 - 536*k.
-4*(k + 9)*(k + 125)
Let n(z) be the second derivative of 15/2*z**2 + 202*z + 0 - 3/2*z**5 - 3/14*z**7 + 3/2*z**4 - 11/10*z**6 + 13/2*z**3. Determine w so that n(w) = 0.
-5/3, -1, 1
Suppose 0 = l - 2*d - 139, -369 - 308 = -5*l + 4*d. Suppose 0 = 2*w + l - 143. Let 0 + 3/2*m**4 + 1/2*m**2 + 3/2*m**3 + 0*m + 1/2*m**w = 0. Calculate m.
-1, 0
Let c be ((-15)/(-115))/(2772/3542). Factor -7/6*m**2 + c*m**4 - m + 0 + 0*m**3.
m*(m - 3)*(m + 1)*(m + 2)/6
Let f(u) be the first derivative of -4*u**3 + 3/20*u**5 + 0*u + 15/2*u**2 + 3/16*u**4 - 42. Let f(l) = 0. Calculate l.
-5, 0, 2
Let x(f) be the second derivative of 2*f**6/15 - 27*f**5/5 + 45*f**4 - 386*f**3/3 + 168*f**2 + 24*f - 8. Suppose x(d) = 0. Calculate d.
1, 4, 21
Let z(v) be the third derivative of 28/9*v**3 + 5/6*v**4 - v**2 + 0*v + 1/45*v**5 + 61. What is o in z(o) = 0?
-14, -1
Let i(m) be the second derivative of -m**5/20 + 123*m**4/4 - 244*m**3 + 730*m**2 + 7083*m. Determine v, given that i(v) = 0.
2, 365
Factor 32 + 12*b**3 + 9893*b + 24*b**2 - 9953*b - 8*b**3.
4*(b - 1)**2*(b + 8)
Let b(l) be the third derivative of -5*l**8/336 - l**7/14 - l**6/12 + 7*l**2 + 42*l. Let b(r) = 0. Calculate r.
-2, -1, 0
Let h(y) be the first derivative of 0*y**2 - 1/84*y**5 - 29 + 0*y + 1/1260*y**6 - 3*y**3 + 1/14*y**4. Let i(p) be the third derivative of h(p). Solve i(a) = 0.
2, 3
Let f be (-6 - -2 - -8) + 3/(-3). Determine v so that -2*v**f - v**3 + 0*v**3 - v**3 = 0.
0
Suppose -23 = 6*g + 31. Let o be 2/g - (-5 + 2215/(-45)). Find r, given that -o*r**3 - 3*r**5 - 21*r**4 - 6*r**2 - 6*r - 21*r + 3*r - 54*r**2 = 0.
-2, -1, 0
Let p(r) be the first derivative of r**5/15 - 17*r**4/3 + 61*r**2/2 + 224. Let y(d) be the second derivative of p(d). Factor y(m).
4*m*(m - 34)
Factor 86*h**3 - 5398*h**4 - 3*h**2 + 1783*h**4 + 1755*h**4 + 1777*h**4.
-h**2*(h - 1)*(83*h - 3)
Let h be ((-23902)/740 - -32)/(4/(-10)). Solve v**3 - 9/4*v - 1/2 - h*v**2 = 0 for v.
-1, -1/4, 2
Let p be (1 + (8 - 13) + 12 - -17)/(1*2). Factor p + 0*o - 1/2*o**2.
-(o - 5)*(o + 5)/2
Factor -2/11*d**2 - 2036/11 - 1022/11*d.
-2*(d + 2)*(d + 509)/11
Let t(x) = x - 7. Let n = 71 + -61. Let g be t(n). Factor -p**4 - 32*p**3 + 18*p**g + 13*p**3.
-p**3*(p + 1)
Let a(i) be the third derivative of -i**8/50400 - i**7/1800 - i**6/300 + i**5/30 - i**4/6 - 46*i**2. Let w(q) be the third derivative of a(q). Factor w(t).
-2*(t + 1)*(t + 6)/5
Suppose -12*r + 13*r - 2 = -4*l, 0 = -2*r - 3*l + 4. Let m = 1788 + -1784. Let m - 7/2*p - 1/2*p**r = 0. Calculate p.
-8, 1
Let n = -66964/3 + 22323. Let x(m) = m**2 + 13*m + 24. Let r be x(-11). Determine w, given that 1/3*w**r + 0 - n*w = 0.
0, 5
Suppose 14*z - 23*z = -14*z + 25. Let c(r) be the first derivative of -3/2*r**2 + r**6 - 7 - 3/4*r**4 - 3*r**3 + 9/5*r**z + 0*r. Determine a so that c(a) = 0.
-1, -1/2, 0, 1
Suppose -25*m + 24*m - 2*q = 0, 0 = 2*m - 6*m - 4*q. Let s = -18 + 21. Factor -1/2*z**s + m + 0*z**2 + 0*z.
-z**3/2
Let k = -559 - -559. Let c(m) be the third derivative of 1/48*m**4 + k - 1/120*m**6 - 1/280*m**7 + 0*m + 1/48*m**5 + 0*m**3 + 14*m**2. Solve c(p) = 0 for p.
-2, -1/3, 0, 1
Let q be 116/(153816/306)*28/3. Factor -10/13*o + 16/13*o**2 - 2/13*o**3 - q.
-2*(o - 7)*(o - 2)*(o + 1)/13
Let j(x) be the first derivative of 4*x**3/9 - 40*x**2/3 + 248. Find h, given that j(h) = 0.
0, 20
Let k(h) be the third derivative of h**8/112 + 4*h**7/35 - 5*h**6/4 - 37*h**5/5 + 409*h**4/8 - 110*h**3 + 4991*h**2 - 2. Determine n, given that k(n) = 0.
-11, -4, 1, 5
Let q(h) be the first derivative of -h**3/3 - h**2 - h + 1340. Suppose q(x) = 0. Calculate x.
-1
Determine u so that 2/9*u**3 - 1650 - 170*u - 2/3*u**2 = 0.
-15, 33
Let x(j) be the first derivative of -j**6/33 + 24*j**5/55 + j**4/22 - 536*j**3/33 + 512*j/11 - 2258. Determine v, given that x(v) = 0.
-4, -1, 1, 8
Let b be (22/(-12) + 2)*3. Suppose 416*o + 193 = 659 + 782. Factor -b*d**o + 1 + 3/2*d + 0*d**2.
-(d - 2)*(d + 1)**2/2
Suppose 3*u - 14 - 7 = 0. Suppose 2*g + 8 = 4*z, 4*g - 4 = -2*z + u*g. Determine i, given that -11*i**2 + 4*i + 8*i + 4*i**z + 4 = 0.
-2/7, 2
Suppose -80*r**3 + 239/3*r - 236/3*r**4 + 710/3*r**2 - 158 + 1/3*r**5 = 0. Calculate r.
-2, -1, 1, 237
Let v(y) be the first derivative of -1/35*y**5 + 3/7*y**3 + 198 + 0*y**4 - 12/7*y - 2/7*y**2. Factor v(i).
-(i - 2)**2*(i + 1)*(i + 3)/7
Suppose -425*n + 1208*n + 901*n = 4548 + 504. Factor 0 + 0*z + 36/7*z**4 + 6/7*z**2 - 27/7*z**n - 15/7*z**5.
-3*z**2*(z - 1)**2*(5*z - 2)/7
Let f(z) be the third derivative of -11*z**2 + 0*z - 25/24*z**4 + 2 + 5*z**3 + 1/12*z**5. Determine o so that f(o) = 0.
2, 3
Let -20 + 126*t**2 + 5*t**3 - 4*t**2 - 117*t**2 - 20*t = 0. What is t?
-2, -1, 2
Let p = 35 + -35. Suppose -2*z + 13 - 3 = p. Factor -4*h**4 + 2*h**3 + 7*h**4 - h**2 - h**4 - h**2 - 2*h**z.
-2*h**2*(h - 1)**2*(h + 1)
Let b(q) be the first derivative of 5*q**7/42 - 19*q**6/6 + 20*q**5 + 125*q**4/3 + 133*q + 79. Let u(k) be the first derivative of b(k). Factor u(o).
5*o**2*(o - 10)**2*(o + 1)
Let j be (2592/720)/((-6)/(-5)). Suppose -26 = -5*p + 3*z, -j*p - z = p - 14. Factor 2/3*a**3 + 0 + 14/3*a**2 + p*a.
2*a*(a + 1)*(a + 6)/3
Find c, given that -502/3*c + 167 + 1/3*c**2 = 0.
1, 501
Let o be (4226/(-264) - -16)/(15/(-8)). Let s = 442/495 - o. Let 1/9*t**2 + 5/9*t**3 + 0*t + 0 + s*t**4 + 4/9*t**5 = 0. What is t?
-1, -1/2, 0
Let z(l) = -10*l**3 - 92*l**2 + 160*l - 76. Let x(r) = -2*r**3 - r**2 - r + 1. Let p(f) = -6*x(f) + z(f). Factor p(c).
2*(c - 41)*(c - 1)**2
Solve -284 + 101 + 377*w**2 - 265 + 4*w**4 - 124*w**3 + 16*w - 41*w**2 = 0.
-1, 2, 28
Suppose -r + 2*o = 12, 2*o = 4*r + 42 + 30. Let d be 38/14 - r/70. Find g such that 44 - 23 - g - 19 - 2*g**2 + 2*g - g**d = 0.
-2, -1, 1
Determine f so that -31/2 + 14/3*f + 1/6*f**2 = 0.
-31, 3
Let w(i) be the second derivative of -26 - 1/28*i**5 - 1/210*i**6 + 5/42*i**3 + 0*i**2 + 1/84*i**4 + 3*i. Factor w(a).
-a*(a - 1)*(a + 1)*(a + 5)/7
Let j(g) be the second derivative of -4*g**2 + 4*g - 13 + 7/6*g**3 + 1/12*g**4. Factor j(n).
(n - 1)*(n + 8)
Let q = -10364 + 10367. Let z(f) be the third derivative of 0*f - 1/30*f**6 - 1/12*f**4 + 0 + 1/10*f**5 + 26*f**2 + 0*f**q. Factor z(i).
-2*i*(i - 1)*(2*i - 1)
Let w(q) be the second derivative of 10086*q**5/5 - 287*q**4/6 - 116*q**3/3 + 4*q**2 + 2*q - 1055. Factor w(o).
2*(12*o + 1)*(41*o - 2)**2
Let s(x) be the second derivative of -x**4/18 + 88*x**3/9 - 237*x**2 + 13957*x. Let s(j) = 0. Calculate j.
9, 79
Suppose 620*k - 1921 - 155 - 404 = 0. Suppose -34/9*x**k + 19/9*x + 40/9*x**2 - x**5 - 10/9*x**3 - 2/3 = 0. What is x?
-3, -1, 2/9, 1
Let p be ((-1)/50)/((-792)/660). Let y(i) be the third derivative of 0*i + 5/6*i**3 + 0 - p*i**5 + 1/6*i**4 + 21*i**2. Factor y(n).
-(n - 5)*(n + 1)
Let z be (-45)/(-30) + 12/24. Let o(u) be the first derivative of -20 - 1/2*u - 3/8*u**z - 1/12*u**3. What is q in o(q) = 0?
-2, -1
Let f(z) = -z**5 - z**4 + z**3 - z**2 + 3. Let t(s) = 20*s**4 - 59*s**3 - 297*s**2 - 341*s - 124. Let k(h) = -f(h) - t(h). Factor k(p).
(p - 11)**2*(p + 1)**3
Let c(r) = 5*r**2 + 15*r - 10. Let n(s) = 2*s**2 - 3*s - 10. Let h be n(0). Let b(a) = 1. Let z(w) = h*b(w) + c(w). Determine q so that z(q) = 0.
-4, 1
Let r(u) = -4*u**2 - 44*u - 46. Let g be