Let y(k) be the third derivative of 0 - 39*k**2 - 1/72*k**5 + 0*k**3 + 0*k - 35/72*k**4. Factor y(j).
-5*j*(j + 14)/6
Let g = -274231 + 274235. Factor -g*i**3 + 0 + 0*i**2 + 0*i + 4/3*i**4.
4*i**3*(i - 3)/3
Let i(x) be the second derivative of 0*x**2 + 0 + 7/60*x**6 + 0*x**3 - 49/40*x**5 - 1/336*x**7 + 0*x**4 - 39*x. Let i(r) = 0. Calculate r.
0, 14
Let o(v) = -5*v**2 - 66*v + 425. Let g(b) = -25*b**2 - 333*b + 2125. Let i(m) = -2*g(m) + 11*o(m). Factor i(a).
-5*(a - 5)*(a + 17)
Let y = 341/8 - 509/12. Let s(a) be the third derivative of 0*a**3 + 0 + 1/4*a**5 - 10*a**2 + 1/6*a**6 - y*a**4 + 0*a. Factor s(u).
5*u*(u + 1)*(4*u - 1)
Let f = 85118/5 + -1106524/65. Solve f*s**2 - 76/13*s + 722/13 = 0.
19
Let o(a) = a**3 + 2*a + 2. Suppose 0*h + 28 = 14*h. Let y(g) = -6*g**3 - 80*g**2 + 76. Let w(r) = h*o(r) + y(r). Let w(q) = 0. What is q?
-20, -1, 1
Let q be (-2)/(-2) + (-24)/35 + 6852/23982. Let q*d**2 + 2883/5 - 186/5*d = 0. What is d?
31
Let f(u) = u**3 - 11*u**2 + 3*u - 31. Let o be f(11). Factor y**o - 2*y**3 + 4*y**3 - 2*y**2 - 21*y + 19*y + y**4.
y*(y - 1)*(y + 1)*(y + 2)
Let g = -231 - -384. What is l in 5*l**4 - 54*l**3 - 1611*l + g*l - 3*l**4 + 486*l**2 = 0?
0, 9
Let y = -11090/13 - -33634/39. Find l such that 64/3*l + 0 - 2/3*l**3 - y*l**2 = 0.
-16, 0, 2
Let z(x) be the first derivative of 52*x**3/3 + 74*x**2 + 96*x - 6016. Suppose z(t) = 0. Calculate t.
-24/13, -1
Let f(t) be the third derivative of -t**5/80 + 5*t**4/8 + 11*t**3/2 + 1153*t**2. Factor f(r).
-3*(r - 22)*(r + 2)/4
Let f(n) = 3*n**2 + 357*n + 360. Let k(a) = 7*a**2 + 719*a + 727. Let r(g) = -5*f(g) + 2*k(g). Factor r(p).
-(p + 1)*(p + 346)
Let z(q) = -9*q**3 + 8*q**2 - 7. Let k(y) = -8*y**3 + 7*y**2 - 6. Suppose 3*v - 36 = -18. Let g(p) = v*z(p) - 7*k(p). Determine l so that g(l) = 0.
0, 1/2
Let n(p) be the third derivative of -29/30*p**4 + 0*p + 5 + 2*p**2 + 4*p**3 - 1/75*p**5. Factor n(t).
-4*(t - 1)*(t + 30)/5
Let z(r) = -r**3 - 5*r**2 - r - 3. Let o be (53/(-5) + (-6)/(-10))/2. Let h be z(o). Determine n so that 69*n**h - 4*n - 4 - 4*n - 70*n**2 + 4*n = 0.
-2
Let s(d) = 78*d + 190. Let o be s(11). Factor -12*r**2 - 15*r**4 + 24*r**3 + 3*r**5 - o*r + 1048*r.
3*r**2*(r - 2)**2*(r - 1)
Let f be (-100)/(-8)*12/15 + (-56)/6. Determine v so that -f*v**2 - 10/3*v + 4 = 0.
-6, 1
Let v(b) be the second derivative of -b**2 + 1/30*b**4 - 4*b - 13 - 4/15*b**3. Factor v(q).
2*(q - 5)*(q + 1)/5
Let f be -6 + (88*(-2)/(-55))/(2/5). Suppose 2/5*x**f + 2/5*x + 0 = 0. What is x?
-1, 0
Let k(d) = d**3 + d**2 - d. Let j(h) = -3*h**4 + 9*h**3 + 3*h**2 - 3*h. Suppose -128 = -5*g + 282. Let z = g - 85. Let b(s) = z*k(s) + j(s). Factor b(t).
-3*t**3*(t - 2)
Suppose -184*q + 486 = -22*q. Let l(h) be the third derivative of -5/12*h**q + 0*h**5 + 0 + 1/96*h**6 + 0*h - 12*h**2 - 5/32*h**4. Factor l(m).
5*(m - 2)*(m + 1)**2/4
Suppose -38*h + 41*h - 4*p = 26, 0 = h + 4*p + 2. Suppose -31 = -h*s - 19. Factor 3/5 + 3/5*l**2 + s*l.
(l + 3)*(3*l + 1)/5
Suppose 3*a + 13 = 4*d + 28, -15 = 3*d - 3*a. Suppose d = 21*m - 25*m. Suppose 0*c + m - 4/3*c**3 + 8/3*c**2 = 0. What is c?
0, 2
Let b(j) be the second derivative of j**7/3360 - j**6/480 + j**5/240 + 17*j**3/6 - j**2/2 + 29*j + 2. Let v(n) be the second derivative of b(n). Factor v(q).
q*(q - 2)*(q - 1)/4
Let h = -186/853 - -4342/4265. Factor 6/5*t**2 - 2/5*t**4 - 8/5 + h*t**3 - 8/5*t.
-2*(t - 2)**2*(t + 1)**2/5
Let b be 136/44 - 178/1958. Let h(f) be the first derivative of 0*f - 1/14*f**2 - 1/21*f**b + 33. What is q in h(q) = 0?
-1, 0
Let p(r) = -3*r**3 + r**4 + 4*r**3 + 1 - 1. Let h(o) = 51*o**4 + 39*o**3 - 39*o**2 - 33*o - 6. Let k(f) = -h(f) + 6*p(f). Let k(b) = 0. What is b?
-1, -2/5, -1/3, 1
Solve 874/3 + 65/3*a + 1/3*a**2 = 0.
-46, -19
Let w(b) be the second derivative of 0*b**2 + 0*b**3 - 1/21*b**7 - 1/15*b**6 - 1/2*b**4 - 3*b + 1/2*b**5 - 30. Factor w(o).
-2*o**2*(o - 1)**2*(o + 3)
Factor -234/5 + 3/5*a**2 - 69/5*a.
3*(a - 26)*(a + 3)/5
Suppose n + 8 = 3*f, 59*n = -5*f + 63*n - 3. What is s in -25/2*s**2 - 2 - 1/2*s**f - 7/2*s**4 - 19/2*s**3 - 8*s = 0?
-2, -1
Let s(i) = 3*i**5 + 282*i**4 + 11379*i**3 + 225744*i**2 + 2211600*i + 8664000. Let m(g) = g**4 + 12*g**3 + 3*g**2. Let h(f) = 12*m(f) + s(f). Factor h(a).
3*(a + 19)**2*(a + 20)**3
Solve 71*y + 226*y + 604 - 2*y**2 + 68*y + 237*y = 0.
-1, 302
Let a(q) be the second derivative of 1/2*q**5 + 15*q + 2 + 0*q**2 - 5/4*q**3 + 5/12*q**4 - 5/84*q**7 - 1/6*q**6. What is x in a(x) = 0?
-3, -1, 0, 1
Factor -258*i**2 + 792*i + 39204 - 285*i**2 + 547*i**2.
4*(i + 99)**2
Factor 7*d**5 - 3*d**5 + 48*d - 40*d**4 + 4477*d**2 - 4605*d**2 + 116*d**3.
4*d*(d - 6)*(d - 2)*(d - 1)**2
Let o be (-75 - -70) + -2*1 + 12. Suppose 0 = -3*s + 2*z + 10, -10*s = -o*s + 5*z. Suppose 0 + 5*l + 15/2*l**3 + 25/2*l**s = 0. What is l?
-1, -2/3, 0
Let h(l) be the first derivative of -8*l - 1/3*l**3 - 9/2*l**2 + 2. Find f such that h(f) = 0.
-8, -1
Let b be ((-36)/240*(-2)/(-3))/(783/(-1044)). Find f such that -14/15*f**3 - b*f**2 + 0 + 2/15*f**5 + 2/15*f**4 + 4/5*f = 0.
-3, -1, 0, 1, 2
Let y(u) be the first derivative of 6*u**5/5 - 143*u**4/2 - 100*u**3/3 + 96*u**2 + 2080. Factor y(v).
2*v*(v - 48)*(v + 1)*(3*v - 2)
Suppose 6*t = -3 - 3. Let u be ((-10)/(-5) + -2)/t. Factor 21*g + 0 - 20*g**3 + 25*g**2 - 31*g + u + 5*g**4.
5*g*(g - 2)*(g - 1)**2
Let g = 4976698/23 + -216376. Find l such that -660/23*l**2 - 24*l + g*l**3 - 112/23 = 0.
-2/5, 14
Suppose 22*f + 23*f = 14*f. Suppose -5*z = -2*m - 6, m + f*z = -z + 4. Factor -4/9 + 1/9*l**4 - 4/9*l**3 + 1/3*l**m + 4/9*l.
(l - 2)**2*(l - 1)*(l + 1)/9
Let h be (-3)/18*322 + 4. Let l = -49 - h. Find x such that -1/3 + l*x - 1/3*x**2 = 0.
1
Factor 438 - 174 - 667*i**3 - 666*i**2 + 392*i + 677*i**3.
2*(i - 66)*(i - 1)*(5*i + 2)
Let u(w) be the third derivative of -w**5/20 + 25*w**4/8 + 27*w**3 + 46*w**2 + 3*w. Factor u(x).
-3*(x - 27)*(x + 2)
Suppose -5*w + 18*f = 15*f + 235, 4*w + 3*f = -161. Let k be (-232)/(-3828) - 34/w. Factor 5/3*t**2 + k*t - 5/3 - 5/6*t**3.
-5*(t - 2)*(t - 1)*(t + 1)/6
Suppose 0 = 278*q - 282*q - 24. Let n(k) = -8*k**2 + 2. Let v(l) = -l**2. Let s(x) = q*v(x) + n(x). Find t such that s(t) = 0.
-1, 1
Let n(s) be the first derivative of 31/3*s**3 - 48 - 9/4*s**4 + 8*s - 15*s**2. Let n(t) = 0. Calculate t.
4/9, 1, 2
Let w(j) be the third derivative of -3*j**8/280 + j**7/50 + j**6/225 - 2*j**5/75 - 7*j**3/2 - 50*j**2. Let y(z) be the first derivative of w(z). Factor y(f).
-2*f*(3*f - 2)**2*(5*f + 2)/5
Let y = 144 + -139. Solve 97*n**2 + 10 - 217*n**2 + 5*n**3 - y*n + 110*n**2 = 0.
-1, 1, 2
Let q be (48 - 0)*(-108)/(-72). Factor -71*a**3 - 245 + 65*a**2 - 175*a - q*a**3 + 138*a**3.
-5*(a - 7)**2*(a + 1)
Let v(x) be the first derivative of 20/3*x**3 - 4*x**2 + 4/5*x**5 - 4*x**4 + 17 + 0*x. Suppose v(s) = 0. Calculate s.
0, 1, 2
Suppose -230 = -8*d + 3*d. Suppose 3*h - 5*l = d, 2*l + 0 = -h + 8. Solve -10*i**3 - 8*i - 17*i**3 + 23*i**3 + h*i**2 = 0.
0, 1, 2
Let r(o) = 3*o**3 - 71*o**2 - 1208*o - 3092. Let p(g) = -5*g**3 + 141*g**2 + 2418*g + 6179. Let a(j) = 4*p(j) + 7*r(j). Solve a(u) = 0.
-32, -3
Let k = -16 + 17. Let z be k/(21/6 - 3). Solve 8*y**4 - 15*y**4 + 7*y**4 + z*y**4 - 4*y**2 + 2 = 0 for y.
-1, 1
Let 2066/5*f - 1067089/5 - 1/5*f**2 = 0. What is f?
1033
Let w(a) be the third derivative of a**8/168 - 4*a**7/105 - a**6/60 + 8*a**5/15 - a**4 + 297*a**2. Find n, given that w(n) = 0.
-2, 0, 1, 2, 3
Let o(z) be the first derivative of 15123*z**5/5 - 30885*z**4/2 + 21877*z**3 - 2610*z**2 + 108*z + 552. Factor o(y).
3*(y - 2)**2*(71*y - 3)**2
Let b(d) be the second derivative of d**4/48 - 263*d**3/2 + 622521*d**2/2 - 3428*d. Solve b(k) = 0 for k.
1578
Let v(k) be the first derivative of 71 + 13*k**2 + 1/2*k**4 - 28/3*k**3 + 0*k. Factor v(w).
2*w*(w - 13)*(w - 1)
Suppose 9708*a + 227 = 9730*a + 7. Factor 1/4*u**2 - a*u + 100.
(u - 20)**2/4
Let y(a) be the third derivative of -1/70*a**7 + 0*a + 72*a**3 - 3/5*a**6 - 170*a**2 + 3*a**4 - 143/20*a**5 + 0. Determine r so that y(r) = 0.
-12, -1, 1
Suppose -5*t - 66*x + 73*x = 55, 0 = 2*x + 2*x - 40. Factor 2/3*p**4 - 6*p + 22*p**2 - 22/3*p**t - 36.
2*(p - 6)*(p - 3)**2*(p + 1)/3
Let l(d) = -12*d**2 + 54*d. Let x(v) = -v**2 + v. Let y be (-42)/35 + (4/20 - 0). Let h(w) = y*l(w) + 9*x(w). Suppose h(s) = 0. Calculate s.
0,