10*x + 0 - 1/10*x**s. Factor y(h).
3*(h + 1)**3*(5*h - 2)/5
Let o(j) be the first derivative of -j**6/6 - 419*j**5/15 - 9659*j**4/6 - 31678*j**3 + 408665*j**2/6 - 103823*j/3 - 880. Let o(t) = 0. What is t?
-47, 1/3, 1
Let b(k) be the third derivative of 23/84*k**4 + 0 + 57*k**2 - 2/7*k**3 + 2/35*k**6 - 17/105*k**5 + 0*k + 1/1176*k**8 - 8/735*k**7. Solve b(y) = 0.
1, 2, 3
Suppose 4 = 4*t, -z - 2*z + 2*t - 2036 = 0. Let g = z - -680. Factor -6/5*w**g + 6/5*w + 0.
-6*w*(w - 1)/5
Let z be 984/26 + 14/91. Let l = z - 36. Suppose -6*o**2 + 4*o**l + o - 6*o + 7*o**2 = 0. What is o?
0, 1
Let o(g) be the third derivative of 0*g - 1/180*g**5 + 0 + 0*g**3 - 1/72*g**4 - 13*g**2. What is n in o(n) = 0?
-1, 0
Suppose 11*g + 12*g + 12*g = 560. Let c(m) be the first derivative of m**4 + g + 2/15*m**5 + 16/9*m**3 - 2*m**2 - 6*m. Factor c(y).
2*(y - 1)*(y + 1)*(y + 3)**2/3
Let g be (-28)/35*-5 + -1*1. Suppose -4 + 48*y**2 - 1322*y**3 + 1250*y**g + 0 + 8*y - 108*y**4 = 0. Calculate y.
-1, -1/3, 1/3
Let j = 195 + -191. Factor -z**4 - 4*z**2 - 3*z - 8*z - 13*z + 24*z**3 + 5*z**j.
4*z*(z - 1)*(z + 1)*(z + 6)
Suppose -327/2*o**3 + 3/8*o**4 - 651/4*o + 2607/8*o**2 + 0 = 0. Calculate o.
0, 1, 434
Let p = -28414/3 + 9472. Factor 0 + p*k**2 + 1/3*k + 1/3*k**3.
k*(k + 1)**2/3
Let w(m) be the first derivative of m**3/6 - 321*m**2 + 206082*m - 991. Factor w(s).
(s - 642)**2/2
Let g be (1080/210)/(3/14). Suppose -9 = -5*q - 2*s, -4*q = q - 3*s - g. Solve 3*d**2 - 1/2*d**q + 4 - 6*d = 0 for d.
2
Factor -2*s**3 - 3947*s**2 + 4*s**3 + 3917*s**2 - 56*s - 168 + 552.
2*(s - 16)*(s - 3)*(s + 4)
Let o(l) be the third derivative of 0 - 3/160*l**5 - 1/4*l**4 + 0*l - 3/4*l**3 + 1/320*l**6 - 60*l**2. Let o(j) = 0. Calculate j.
-2, -1, 6
Let u(l) = 32*l**4 - 308*l**3 - 8614*l**2 - 4244*l - 524. Let p(h) = h**3 + 2*h**2 - 1. Let t(j) = 4*p(j) + u(j). Suppose t(i) = 0. Calculate i.
-12, -1/4, 22
Let k be (21/28)/(3*2). Let r(j) be the third derivative of 0*j - k*j**4 + 0*j**3 + 1/40*j**5 - 10*j**2 + 0. Factor r(l).
3*l*(l - 2)/2
Determine o so that -147/5*o**4 + 301/5*o + 9/5*o**5 + 50*o**2 + 57/5 - 94*o**3 = 0.
-3, -1/3, 1, 19
Let z(c) be the first derivative of -2*c**3/3 - 932*c**2 - 434312*c + 2706. Factor z(s).
-2*(s + 466)**2
Let d(i) be the third derivative of -i**8/6720 + i**7/1260 + i**6/48 - i**4/6 - 7*i**3/6 - 79*i**2. Let n(g) be the second derivative of d(g). Factor n(t).
-t*(t - 5)*(t + 3)
Let b(y) be the third derivative of -y**8/112 - 52*y**7/35 + 211*y**6/40 - 53*y**5/10 - y**2 + 38*y. Solve b(i) = 0 for i.
-106, 0, 1
Let d be 9/24 - 7/(-2)*(-61 + 107415/1764). Factor 0 + 21/5*j**4 - 3*j**3 + d*j - 9/5*j**5 + 3/5*j**2.
-3*j**2*(j - 1)**2*(3*j - 1)/5
Suppose 0 = 3*m + 4*x - 1084, 5*m + 2*x + 3*x = 1815. Let o = -365 + m. Factor 0*i**2 - 1/5*i**4 + 0 - 1/5*i**5 + 0*i + 0*i**o.
-i**4*(i + 1)/5
Let i(k) = -9*k**2 + 4206*k - 2196615. Let u(v) = 5*v**2 - 2104*v + 1098308. Let s(o) = -4*i(o) - 7*u(o). Find a such that s(a) = 0.
1048
Let s = 16560/4403 + -60/259. Suppose -36 = -16*x + 12. Factor -s*w**2 - 2000/17 + 600/17*w + 2/17*w**x.
2*(w - 10)**3/17
Let v(p) = -p**3 - 6*p**2 - 5*p + 11. Let r be v(-4). Let f(l) = -17*l + 1. Let x(z) = -2*z**2 - z + 1. Let t(k) = r*f(k) + x(k). Let t(i) = 0. Calculate i.
0, 8
Suppose -2*k = 7*k. Suppose 18*v - 15*v - 9 = k. Factor 11*u**2 - u**3 + 5*u**v + 9*u**2 - 8*u**2.
4*u**2*(u + 3)
Factor 0 - 39/4*n**2 - 9/2*n**3 - 5*n + 1/4*n**4.
n*(n - 20)*(n + 1)**2/4
Let c be ((-7)/((-126)/8))/((-2)/(-18)). Let d(p) be the first derivative of 3/35*p**5 - 9/14*p**2 - 15/28*p**c + p**3 - 6 + 0*p. Suppose d(y) = 0. What is y?
0, 1, 3
Suppose 2/11*x**4 - 32/11*x**3 - 28/11*x + 0 + 58/11*x**2 = 0. What is x?
0, 1, 14
Suppose -3045*l + 3035*l = -50. Let o(i) be the second derivative of 0*i**2 + 0 + 1/60*i**l - 1/6*i**4 - 27*i + 1/2*i**3. Factor o(s).
s*(s - 3)**2/3
Let v(q) = q**3 - 5*q + 1. Let p(t) = 7*t**3 + 187*t**2 + 156*t + 6. Let g(a) = p(a) - 6*v(a). Factor g(f).
f*(f + 1)*(f + 186)
Let v(b) be the first derivative of -b**6/30 - 3*b**5/20 - b**4/6 - 123*b + 196. Let q(i) be the first derivative of v(i). Solve q(n) = 0.
-2, -1, 0
Let n(o) be the first derivative of o**4/12 - 11*o**3/9 - 86*o**2/3 + 380*o/3 - 4209. Suppose n(r) = 0. What is r?
-10, 2, 19
Let y be (-18)/(-4 + 72/20). Let l be 10/y*(-117)/(-208). Factor l*n + 0 - 1/8*n**2.
-n*(n - 1)/8
Let a(k) be the second derivative of -2/15*k**5 + 4/9*k**3 + 0*k**2 + 160*k - 1/45*k**6 + 1/18*k**4 + 0. Solve a(c) = 0.
-4, -1, 0, 1
Let v = 232099/3 + -77305. Factor v*g + 28*g**2 + 10/3*g**3 + 128/3 - 1/3*g**4.
-(g - 16)*(g + 2)**3/3
Let t be 4*(-4)/6*93/(-22196). Let z = 173/537 + t. Factor 2/3 - w**2 + 1/3*w**3 - 1/3*w + z*w**4.
(w - 1)**2*(w + 1)*(w + 2)/3
Let k be (-7 + 16)*3/9. Solve 27*c**4 - 392 - 506*c**2 - 840*c + 45*c**4 - 60*c**k - 74*c**4 = 0 for c.
-14, -1
Factor 183*g - 239 - 29*g**2 - 247*g**3 - 58*g**3 + 154*g**3 + 152*g**3 - 76.
(g - 21)*(g - 5)*(g - 3)
Let p = -88924/9 + 88928/9. Factor 2/9*u**2 - p*u + 2/9*u**3 + 0.
2*u*(u - 1)*(u + 2)/9
Let d(w) be the third derivative of 1/330*w**5 + 235*w**2 + 0*w**3 - 5/33*w**4 + 0*w + 0. Solve d(c) = 0.
0, 20
Let h(c) be the third derivative of -c**5/60 - c**4/2 + 5*c**3/6 + 21*c**2 + 2*c. Let b(p) = p**2 + 13*p - 6. Let f(y) = 5*b(y) + 6*h(y). Factor f(s).
-s*(s + 7)
Factor 2*g**2 + 4*g**2 + 6473 - 7*g**2 - 6009 - 100*g - 3*g**2.
-4*(g - 4)*(g + 29)
Let y(l) be the first derivative of 2*l**3/15 + 161*l**2/5 - 2516. Factor y(a).
2*a*(a + 161)/5
Suppose 47*a + 19440 = 87*a. Let r = 3405/7 - a. Find s, given that r*s**2 + 18/7*s + 24/7 = 0.
-4, -2
Let t(a) be the third derivative of -a**8/896 + 23*a**7/840 - 131*a**6/960 + 17*a**5/60 - a**4/4 - 11*a**2 - 181. Find c, given that t(c) = 0.
0, 1, 4/3, 12
Suppose -22*v + 2 = -42. Solve 10*d - 1444 + 142*d - 16*d**v + 12*d**2 = 0 for d.
19
Let g(m) = -6*m - 20. Let x be g(-4). Find p, given that -5*p**3 - 4*p**3 + 3*p**2 + 2*p**5 + p**5 - 12*p**x + 6*p + 9*p**4 = 0.
-1, 0, 1, 2
Suppose 2*m = 7*m. Suppose -k - 2 = m, 5*h - 3*k + 5 = 21. What is i in -10*i**3 + 6 + 36*i**2 - 7*i**3 + h*i**3 - 27*i = 0?
2/5, 1
Let s = -702 - -415. Let u = 287 + s. Factor -2*y**2 - 4/3*y + u.
-2*y*(3*y + 2)/3
Let g(m) be the third derivative of m**8/1848 - 2*m**7/1155 - m**6/220 + 2*m**5/165 + m**4/33 - 1717*m**2. Determine f so that g(f) = 0.
-1, 0, 2
Let n be 1*(-4)/20*-2*1. Suppose -22 + 25 = 5*t + p, 0 = 4*t - 3*p - 29. Factor 18/5 + n*f**t - 12/5*f.
2*(f - 3)**2/5
Let r be 0/(2550/50 + -24). Factor 9/5*h - 3/5*h**3 - 6/5*h**2 + r.
-3*h*(h - 1)*(h + 3)/5
Let q(x) be the second derivative of -2*x**7/63 - 4*x**6/45 + x**5/15 + 2*x**4/9 + 1706*x. Solve q(u) = 0 for u.
-2, -1, 0, 1
Let -g + 37 - 56 + g**2 - 16 - 121 = 0. What is g?
-12, 13
Let p(v) be the second derivative of v**4/3 - 14*v**3/3 - 40*v + 19. Factor p(c).
4*c*(c - 7)
Let g(i) be the first derivative of 3*i**4/4 + 344*i**3 - 4770. Factor g(t).
3*t**2*(t + 344)
Let n = -232935/2 - -116535. Let -243/4*c**2 + n*c - 75/4 = 0. Calculate c.
5/9
Let q(w) = 5*w**2 + 1245*w + 2458. Let x(o) = 15*o**2 + 3735*o + 7368. Let f(s) = 7*q(s) - 2*x(s). Factor f(k).
5*(k + 2)*(k + 247)
Let w(z) = -18*z - 783. Let l be w(-46). Let j be l/(-90) + 2/4. Factor j + 0*a + 6/13*a**2 + 8/13*a**3 + 2/13*a**4.
2*a**2*(a + 1)*(a + 3)/13
Let n(h) = -68*h**2 + 26*h - h**3 + 87 + 139*h**2 - 76*h**2. Let g be n(-7). Factor -23/2*j**2 + 14/3*j + 35/3*j**g - 2/3 - 25/6*j**4.
-(j - 1)**2*(5*j - 2)**2/6
Let y = -2/1939 - -1955/15512. Let m(u) be the third derivative of 0 - 7/96*u**4 + 0*u + y*u**3 - 1/480*u**6 + 1/48*u**5 + 4*u**2. What is j in m(j) = 0?
1, 3
Let c(h) be the third derivative of h**7/1785 - 77*h**6/340 + 229*h**5/255 - 88*h**2 - 9. Factor c(r).
2*r**2*(r - 229)*(r - 2)/17
Let d(c) be the second derivative of 74*c + 1/25*c**5 + 0*c**4 + 0 + 0*c**2 - 1/150*c**6 + 0*c**3. Suppose d(x) = 0. What is x?
0, 4
Suppose 2*p = -3*v - 5, -21*p = -24*p + 3*v + 15. Let a(k) be the second derivative of 4/3*k**4 + 0*k**3 + k**5 + 0 + 2/15*k**6 - 4*k + 0*k**p. Solve a(z) = 0.
-4, -1, 0
Let i(a) = -3*a**2 - 8*a - 3. Let u(o) = 30*o**2 + 81*o + 30. Suppose 29 = -15*p - 1. Let k(q) = p*u(q) - 21*i(q). Let k(n) = 0. Calculate n.
-1
Let y = -14923/510 - -498/17. Let u(z) be the first derivative o