36 + 8*q**7/105 + q**6/40 - 23*q**5/30 - 4*q**4/3 + 3727*q**2. Factor t(v).
-v*(v - 16)*(v - 2)*(v + 1)**2
Let d(j) be the first derivative of 1/3*j**5 - 20/3*j**3 + 1/6*j**4 - 52/3*j**2 + 323 - 32/3*j. Find z such that d(z) = 0.
-2, -2/5, 4
Let x be -2 + 0 + 3 + 3. Suppose -5*a + 3*i = 4*i - 20, -2*i + 22 = x*a. Factor 12 - a*o**2 + 10*o - 3*o**2 + 8*o**2.
2*(o + 2)*(o + 3)
Factor 735/4*h - 745/2 + 5/4*h**2.
5*(h - 2)*(h + 149)/4
Let x(g) = 37*g - 1834. Let t be x(50). Let m(c) be the second derivative of 1/4*c**3 - t*c - 1/16*c**4 + 0 + 9/8*c**2. Solve m(p) = 0 for p.
-1, 3
Let q(z) be the first derivative of z**8/1680 + z**7/700 - z**6/200 - z**5/300 + 23*z**3 + 4. Let w(h) be the third derivative of q(h). Factor w(p).
p*(p - 1)*(p + 2)*(5*p + 1)/5
Let p(y) be the third derivative of -y**8/168 + y**7/3 - 117*y**6/20 + 169*y**5/30 + 2197*y**4/3 - 1656*y**2. Factor p(o).
-2*o*(o - 13)**3*(o + 4)
Let v = 13 + -10. Let r = v - -2. Factor 12*t**3 + 8 + 19*t**3 + 20*t - 64*t**2 + r*t**3.
4*(t - 1)**2*(9*t + 2)
Let a = 349 - 333. Let -a*c + 6*c**3 + 23*c**4 + 0*c**5 - 15*c**3 + 7*c**5 - 68*c**2 + 0*c**5 - 27*c**3 = 0. What is c?
-4, -1, -2/7, 0, 2
Let x = 10292 - 10288. Let c(w) be the third derivative of 0*w - 5/18*w**x + 39*w**2 - 50/9*w**3 + 0 - 1/180*w**5. Factor c(v).
-(v + 10)**2/3
Let x = -1731 + 1927. Let n be 68/17 + (-7)/(x/104). Factor -2/7*f**3 + n*f**4 + 0*f - 4/7*f**2 + 0.
2*f**2*(f - 2)*(f + 1)/7
Let a(s) be the second derivative of 6*s - 1/16*s**4 - 18 - 7/6*s**3 - 25/8*s**2. Determine r so that a(r) = 0.
-25/3, -1
Let g(l) = -16*l**2 - 3*l. Let d(q) = 2*q**2 + 5*q**2 - 42*q + 43*q. Let w(n) = 14*d(n) + 6*g(n). Factor w(r).
2*r*(r - 2)
Let u = -1699951/4 + 425011. What is t in 9/4*t**5 + 14*t**4 + u*t**3 + 0 + 9/2*t**2 + 0*t = 0?
-3, -2/9, 0
Suppose s = 63 + 15. Factor -t - 73 + 15*t**2 + t**3 + 136 - s.
(t - 1)*(t + 1)*(t + 15)
Let q(x) = -x + 20. Let u be q(-6). Determine w, given that 6*w**4 + 15*w**3 - 27*w**2 + 20*w**2 + 3*w - u*w**2 + 3*w**4 + 6*w = 0.
-3, 0, 1/3, 1
Let s = -531 + 82. Let l = 451 + s. Find c such that -12/7*c**l + 0 + 3/7*c + 18/7*c**3 - 12/7*c**4 + 3/7*c**5 = 0.
0, 1
Let y be -16 - 38/(-26 + 24). Let 6/7 - 2/7*h**4 - 8/7*h**y + 8/7*h - 4/7*h**2 = 0. What is h?
-3, -1, 1
Let b(d) be the second derivative of d**4/9 - 248*d**3/9 + 82*d**2 + 3*d + 40. Factor b(c).
4*(c - 123)*(c - 1)/3
Factor 887364 - 942*r + 1/4*r**2.
(r - 1884)**2/4
Let l = 88210 + -352835/4. Suppose 125/2 - 35*v**2 + 275/4*v - 55/2*v**3 + 25/2*v**4 - l*v**5 = 0. Calculate v.
-1, 2, 5
Let h be 40 + (15/(-10))/((-3)/4). Suppose 13*b + b = h. Let -27*v**b + 17*v**3 - 3*v + 16*v**3 - 5*v - 2*v**4 = 0. What is v?
-1, 0, 2
Let b(x) be the second derivative of -x**5/50 + 125*x**4/6 - 1247*x**3/15 + 623*x**2/5 + 4849*x. Factor b(u).
-2*(u - 623)*(u - 1)**2/5
Let n be 12975/(-1200) + (0 - -11). Let u(m) be the first derivative of 0*m**2 - 14 - n*m**4 + 0*m + 1/4*m**3. Let u(r) = 0. What is r?
0, 1
Let x be ((-494)/(-342))/(-1*(-2)/(-438)). Let n = x + 317. Solve 4/9*u**2 + 2/9*u**5 + 0 - 4/9*u**4 + n*u - 8/9*u**3 = 0 for u.
-1, 0, 1, 3
Let y(o) be the third derivative of o**5/4 + 29*o**4/2 + 23*o**3/2 + 1073*o**2 + o. Find u such that y(u) = 0.
-23, -1/5
Let j(y) be the second derivative of y**5/30 - 8*y**4/3 + 92*y**3/9 + 2*y + 2180. Factor j(f).
2*f*(f - 46)*(f - 2)/3
Let j be (-8)/28 + -6*32/(-84). What is u in 538*u**3 + 2*u**5 + j*u + 8*u**2 + 8*u**4 + 551*u**3 - 1077*u**3 = 0?
-1, 0
Factor -20*a - 5/3*a**2 - 45.
-5*(a + 3)*(a + 9)/3
Let h = -58 + 128. Let f be (6/7)/(20/h). Let -21*i**2 + 15*i**f + 10*i + i - 5*i = 0. Calculate i.
0, 2/5, 1
Let b = 1335998/1113315 - 4/222663. Let 0*d - 1/5*d**4 + 0 - 9/5*d**2 + b*d**3 = 0. What is d?
0, 3
Let l(f) = -4*f + 48. Let g be l(11). Factor 4*c**3 - 4*c - 472*c**4 - 8 + 233*c**4 + 12*c**2 + 235*c**g.
-4*(c - 2)*(c - 1)*(c + 1)**2
Factor 4 - 40 - 803*q + 53*q**2 + 735*q - 5*q**3.
-(q - 9)*(q - 2)*(5*q + 2)
Let w be ((-17)/(-34))/(9/12). Let y(a) be the second derivative of w*a**4 - 1/10*a**5 + 11/3*a**3 + 6*a**2 + 0 + 26*a. Factor y(i).
-2*(i - 6)*(i + 1)**2
Let -3/8*h**5 - 14904675/4*h**2 - 58389903/8*h - 28990791/8 - 206079/4*h**3 - 1923/8*h**4 = 0. Calculate h.
-213, -1
Let c(q) be the first derivative of 4*q**3/3 - 14*q**2 - 40*q - 14. Let x(p) = 6*p**2 - 29*p - 41. Let y(m) = -3*c(m) + 4*x(m). Factor y(f).
4*(f + 1)*(3*f - 11)
Let m(i) be the second derivative of -3*i**5/80 + 2*i**4 - 141*i**3/8 + 243*i**2/4 - 515*i. Determine v, given that m(v) = 0.
2, 3, 27
Let g = 11347 + -11345. Let r(d) be the first derivative of 1/4*d**g - 10 + 0*d - 1/16*d**4 + 1/12*d**3. Determine m, given that r(m) = 0.
-1, 0, 2
Let a = 57509/7 - 8213. Factor 27/7*f - a*f**2 + 3/7*f**3 - 12/7.
3*(f - 4)*(f - 1)**2/7
Let w = -141198 + 988422/7. Factor -68/7*b + 4*b**2 + 4/7*b**3 + w.
4*(b - 1)**2*(b + 9)/7
Let y(g) be the third derivative of -g**6/180 + g**5/6 - 3*g**4/4 - 47*g**3/2 + 6*g**2. Let t(j) be the first derivative of y(j). Factor t(h).
-2*(h - 9)*(h - 1)
Let n(r) = -3*r - 540. Let v be n(0). Let x be 8 + -1 - v/(-135). Factor -14/5*p**4 - 2/5*p**5 - 16/5*p**x + 32/5*p**2 + 0*p + 0.
-2*p**2*(p - 1)*(p + 4)**2/5
Let h(r) be the third derivative of r**6/200 + 47*r**5/100 - 5*r**4 + 102*r**3/5 + 241*r**2. Let h(g) = 0. Calculate g.
-51, 2
Let u(f) be the third derivative of -f**6/24 - 8*f**5/3 - 475*f**4/8 - 495*f**3 + 25*f**2 + 19*f + 2. Factor u(g).
-5*(g + 3)*(g + 11)*(g + 18)
Let m(c) be the third derivative of -1/100*c**5 + 2 - 71*c**2 + 0*c**3 + 1/350*c**7 + 1/20*c**4 - 1/100*c**6 + 0*c. Factor m(g).
3*g*(g - 2)*(g - 1)*(g + 1)/5
Suppose 256/9*l - 320/9 - 16/9*l**4 + 148/3*l**2 - 154/9*l**3 + 2/3*l**5 = 0. Calculate l.
-5, -1, 2/3, 4
Let y(q) be the second derivative of -q**4/4 + 642*q**3 - 618246*q**2 + 752*q. Let y(w) = 0. Calculate w.
642
Let g(s) = 2*s**3 - 10606*s**2 - 18733738*s - 11034169322. Let q(t) = -t**3 + t**2 + t - 1. Let d(y) = -g(y) - 4*q(y). Let d(f) = 0. Calculate f.
-1767
Let k = 1676/179 - 14368/1611. Solve k - 2/3*a**2 + 10/9*a = 0 for a.
-1/3, 2
Let r(w) be the second derivative of -w**4/114 - 22*w**3/57 - 112*w**2/19 - 3994*w. Factor r(v).
-2*(v + 8)*(v + 14)/19
Let y(n) be the second derivative of -n**7/84 + n**6/15 - 3*n**5/20 + n**4/6 - n**3/12 - 47*n - 1. Factor y(q).
-q*(q - 1)**4/2
Let f(n) = n**2 - 1677*n + 26632. Let d be f(16). Let 8*l - 2/7*l**2 - d = 0. Calculate l.
14
Let v be -3 - (-52)/16 - 11/(-4). Determine f, given that 4*f**v - 8*f**3 + 20*f**2 + 2*f**3 + 0*f**3 = 0.
0, 10
Let y = -94 - -103. Suppose 0 = -y*u + 8*u. Let -3/4*f**4 + 0*f**2 - 3/4*f**3 + u*f + 0 = 0. Calculate f.
-1, 0
Suppose -5*p + 5*c - 35 = 0, 5*c + 7756 - 7791 = 4*p. Factor 0*s**2 + p - 3/4*s**3 + 0*s + 3/4*s**4.
3*s**3*(s - 1)/4
Let b(i) be the third derivative of 0*i**6 - 1/30*i**5 + 0 + 64*i**2 + 1/735*i**7 + 0*i**3 - 1/14*i**4 + 0*i. Let b(l) = 0. Calculate l.
-2, -1, 0, 3
Let -395236*s**2 - 4353278608 + 235276*s**2 - 5*s**4 - 3660*s**3 - 1254286997 - 16590433*s - 844710*s**2 - 105979307*s = 0. What is s?
-183
Let 4321/5*f**2 + 2/5*f**4 + 2304/5 + 6816/5*f - 189/5*f**3 = 0. What is f?
-1, -1/2, 48
Factor -2037/4*r**2 + 0 + 339/2*r + 9/4*r**3.
3*r*(r - 226)*(3*r - 1)/4
Let l(t) be the second derivative of t**3 + 9*t + 0 + 1/15*t**6 + 1/6*t**4 - 3/10*t**5 - 2*t**2. Factor l(n).
2*(n - 2)*(n - 1)**2*(n + 1)
Let k(c) be the second derivative of 0*c**3 + 0*c**2 - 328*c + 7/180*c**5 + 1/12*c**4 + 0. Suppose k(y) = 0. What is y?
-9/7, 0
Let p(q) be the first derivative of -1/14*q**4 - 4/7*q - 4/7*q**2 - 1/5*q**5 + q**3 - 129. What is l in p(l) = 0?
-2, -2/7, 1
Factor -1/4*w**4 + 12*w + 10*w**2 + 0 - 9/4*w**3.
-w*(w - 4)*(w + 1)*(w + 12)/4
Let b(r) be the third derivative of -r**6/180 - 148*r**5/45 - 21605*r**4/36 + 44402*r**3/9 + 21*r**2 + 11*r. Factor b(l).
-2*(l - 2)*(l + 149)**2/3
Determine k, given that 3/4*k**5 - 12*k**4 - 51/2*k**2 + 48*k**3 - 195/4*k + 75/2 = 0.
-1, 1, 5, 10
Let n(d) = -2*d**3 - 28*d**2 + 26*d. Let j = 396 - 401. Let z(s) = -3*s**3 - 29*s**2 + 27*s. Let k(h) = j*n(h) + 4*z(h). Suppose k(b) = 0. Calculate b.
0, 1, 11
Let b(m) be the third derivative of -m**8/336 + 11*m**7/210 - 19*m**6/120 + 3*m**5/20 + 694*m**2 + 3*m. Factor b(f).
-f**2*(f - 9)*(f - 1)**2
Let y(h) = -h**4 - h**