*(u - 69)*(u - 2)
Let p = 22 + -22. Suppose 3*s + p*s - 12 = 0. Factor 2*j**s - 4*j**2 + 4*j**5 - 3*j**5 - j + 2*j**3 + 2 - 2*j**5.
-(j - 2)*(j - 1)**2*(j + 1)**2
Let h = 855601 + -855441. Factor h + 2/5*y**2 + 16*y.
2*(y + 20)**2/5
Let b(g) = 66*g**3 - g**2 - 2*g - 2. Let z be b(-1). Let d = -65 - z. Factor 38*v - 36*v + 4*v**3 - 4*v**3 - d*v**3 + 2*v**2 - 2.
-2*(v - 1)**2*(v + 1)
Let o(r) be the first derivative of r**3/24 - 9*r**2/16 - 35*r/4 - 1402. Factor o(u).
(u - 14)*(u + 5)/8
Let s(y) be the third derivative of y**4/6 - 5*y**3/3 - 15*y**2. Let z be s(4). What is n in 1 + 16*n - 19*n - 3*n**2 + z*n**2 - n**3 = 0?
1
Solve -700/3*q**3 - 280/3*q**4 + 2960/3*q**2 - 6*q**5 + 216 - 870*q = 0.
-9, 4/9, 1
Let p(i) be the second derivative of 1/8*i**3 + 0 - 3/4*i**2 - 231*i - 3/80*i**5 + 1/8*i**4. Factor p(t).
-3*(t - 2)*(t - 1)*(t + 1)/4
Let o(r) be the third derivative of -1/8*r**4 + 0 + 0*r**3 - 159*r**2 + 0*r - 1/240*r**5. Factor o(d).
-d*(d + 12)/4
Let m = -78405 - -78407. Factor -5/8*t**3 - 3/8*t**m + 0 + 1/4*t**4 + 0*t.
t**2*(t - 3)*(2*t + 1)/8
Let d(g) be the second derivative of 5*g**6/2 + 51*g**5/2 + 329*g**4/4 + 98*g**3 - 2064*g. Let d(k) = 0. Calculate k.
-4, -7/5, 0
Let i(n) be the second derivative of 7*n**5/4 - 5*n**4/3 + n - 307. Factor i(y).
5*y**2*(7*y - 4)
Let q(l) = -8*l**3 + 12*l**2 + 8*l - 16. Let r(a) = a**4 - a**2 - 1. Let c be 2*(-5 - -8)*(-8)/(-12). Let i(p) = c*r(p) - q(p). Factor i(u).
4*(u - 1)**2*(u + 1)*(u + 3)
Let u(f) be the second derivative of -f**5/130 + 73*f**4/78 - 943*f**3/39 - 15129*f**2/13 - 1169*f - 3. Factor u(c).
-2*(c - 41)**2*(c + 9)/13
Let t(w) be the first derivative of -145*w**3/12 - 271*w**2/8 - 9*w/2 + 1952. Solve t(m) = 0.
-9/5, -2/29
Let q(l) be the third derivative of -l**5/160 + 719*l**4/64 + 45*l**3 + l**2 + l - 666. Suppose q(b) = 0. What is b?
-1, 720
Find y, given that -752/19 + 188/19*y**2 + 2/19*y**3 - 8/19*y = 0.
-94, -2, 2
Solve -112/11*v - 100/11*v**2 + 0 - 2/11*v**4 - 26/11*v**3 = 0.
-7, -4, -2, 0
Let t be (198/(-140))/(-3) + (16 - 43)/(-270). Let v(f) be the first derivative of t*f**2 - 48 + 0*f + 2/21*f**3. Find o, given that v(o) = 0.
-4, 0
Suppose -34*w - 19 = -223. Let m(d) be the second derivative of 7/6*d**4 - 18*d**2 + 5*d**3 + 6*d - 3/10*d**5 + 0 - 1/15*d**w. Factor m(h).
-2*(h - 2)*(h - 1)*(h + 3)**2
Find p, given that 1146*p**2 + 6*p**3 + 6*p**3 + p**4 - 1111*p**2 = 0.
-7, -5, 0
Suppose -3*o - 28 + 37 = 0. Find n, given that -10*n**2 + 10*n**o - 3*n**4 + 0*n**3 + n**4 - 10*n - 249 + 261 = 0.
-1, 1, 2, 3
Let s(l) = -l**4 - 18*l**3 - 96*l**2 + 4*l + 2. Let b(n) = 2*n**4 + 18*n**3 + 100*n**2 - 6*n - 3. Let m(o) = 4*b(o) + 6*s(o). Suppose m(u) = 0. Calculate u.
-4, 0, 22
Factor -3*p**3 - p**3 + 16731*p**2 - 6*p**3 - 90*p - 16546*p**2.
-5*p*(p - 18)*(2*p - 1)
Let a(g) be the first derivative of 75*g**4 + 2/3*g**6 + 240*g**2 + 580/3*g**3 + 144*g + 12*g**5 - 41. Factor a(o).
4*(o + 1)**3*(o + 6)**2
Let a(i) be the third derivative of -i**8/140 - 14*i**7/75 - 229*i**6/150 - 419*i**5/75 - 148*i**4/15 - 8*i**3 - 1684*i**2. Find c such that a(c) = 0.
-10, -3, -2, -1, -1/3
Let m = 46 + -66. Let h = -15 - m. Let -3 + 3*t**3 + 10*t - t**2 - 4*t**3 - h*t = 0. What is t?
-3, 1
Let i = 144067 - 144064. Suppose -13/2*l**i + 5/2*l**5 - 31/2*l**2 - 2 - 10*l + 7/2*l**4 = 0. Calculate l.
-1, -2/5, 2
Let t(l) = -2*l**4 + 4*l**2 - 2*l. Let x(s) be the third derivative of s**7/105 - s**5/12 + s**4/8 - 2*s**2. Let p(w) = -3*t(w) - 2*x(w). Factor p(i).
2*i**2*(i - 1)*(i + 1)
Let s be 31 + (6 - 8/1). Let o be 23 - s - (-108)/15. Solve 0*x + 6/5*x**3 + o*x**4 + 0 + 2/5*x**2 + 2/5*x**5 = 0 for x.
-1, 0
Let x = 2 - -19. Let w = 23 - x. Determine p so that 3*p + 4*p**2 + 0*p**2 - 3*p**w - 2*p**2 = 0.
0, 3
Let j be 9/(117/169) + -11. Let z(p) be the third derivative of -19/48*p**4 + 0 + 1/2*p**3 + 0*p - 15*p**j - 7/120*p**5. Find y, given that z(y) = 0.
-3, 2/7
Let h(x) be the first derivative of x**4/30 - 4*x**3/5 + 4*x**2 - 185*x + 182. Let f(g) be the first derivative of h(g). Suppose f(t) = 0. Calculate t.
2, 10
Let b(g) = -g**3 - 47*g**2 - 214*g - 156. Let r(h) = -4. Let c(y) = b(y) + 3*r(y). Let c(p) = 0. Calculate p.
-42, -4, -1
Let u(t) = -72*t + 442. Let f be u(5). Suppose -f*p = -81*p - 3. Factor -14/5*z - 8/5 + 2/5*z**p - 4/5*z**2.
2*(z - 4)*(z + 1)**2/5
Let l be (-130)/5 + (-98)/7007*-1924. Factor 0 + 0*u + l*u**3 - 14/11*u**2.
2*u**2*(5*u - 7)/11
Suppose -1/4*v**2 + 37*v - 1369 = 0. Calculate v.
74
Let k(q) be the second derivative of 0*q**2 - 9*q - 3 + 4/27*q**3 + 1/54*q**4. Factor k(f).
2*f*(f + 4)/9
Let d(i) be the second derivative of 3/10*i**2 + 1/100*i**5 + 7/30*i**3 + 1/12*i**4 - 2*i + 219. Solve d(g) = 0 for g.
-3, -1
Find c, given that 172*c**3 + 20667*c - 331*c**3 - 3534*c**2 - 336*c**3 - 16635*c**2 - 3*c**4 = 0.
-83, 0, 1
Let u(i) be the second derivative of -i**7/210 - 46*i**6/75 - 771*i**5/100 - 503*i**4/15 - 166*i**3/3 - 6332*i. Determine k so that u(k) = 0.
-83, -5, -2, 0
Factor 1/9*s**5 - 1/3*s**4 + 0*s + 4/3*s**2 - 4/9*s**3 + 0.
s**2*(s - 3)*(s - 2)*(s + 2)/9
Suppose 6*j + 13*j - 40*j = 48*j - 345. Solve -17/2*u**4 + u**j - 5/2*u**3 + 36 + 85*u**2 + 114*u = 0 for u.
-2, -1, -1/2, 6
Factor -2*v**2 + 98/3*v + 60.
-2*(v - 18)*(3*v + 5)/3
Let n(i) be the second derivative of -i**4/4 + 43*i**3/2 - 558*i**2 - 3959*i. Factor n(r).
-3*(r - 31)*(r - 12)
Let h = -903027 + 903029. Factor -1 - 1/6*u**3 - 4/3*u**h - 13/6*u.
-(u + 1)**2*(u + 6)/6
Let c(q) be the second derivative of -1/110*q**5 - 5*q - 5 + 29/66*q**4 - 225/11*q**2 - 65/11*q**3. Determine h so that c(h) = 0.
-1, 15
Let l = -2/32215 - -3195738/161075. Find u such that l*u**4 - 32/25*u**5 + 1936/25*u**2 - 442/5*u**3 + 196/25 + 1414/25*u = 0.
-1/4, 2, 7
Let j(x) be the third derivative of x**7/30240 - x**6/2160 + x**5/480 - x**4/24 + 4*x**3 - 62*x**2. Let t(v) be the second derivative of j(v). Factor t(p).
(p - 3)*(p - 1)/12
Factor -1/6*c**3 + 595/6*c + 775/3 + 26/3*c**2.
-(c - 62)*(c + 5)**2/6
Let y(d) be the third derivative of 1/75*d**5 + 0*d + 0*d**3 + 1/150*d**6 - 1/5*d**4 + 0 + 3*d**2. Factor y(c).
4*c*(c - 2)*(c + 3)/5
Let k be (-91)/(-52)*4 + -3. Let z(r) be the second derivative of 0 + 1/105*r**7 + 4/15*r**k + 6/25*r**5 + 2/25*r**6 + 0*r**3 + 0*r**2 + 2*r. Factor z(n).
2*n**2*(n + 2)**3/5
Factor 5172 - 2282 - 125*l - 2490 + 20*l + 5*l**2.
5*(l - 16)*(l - 5)
What is z in -4*z**3 - 31*z**2 + 115*z**2 - 512 - 228*z - 264*z + 8*z**2 + 76*z = 0?
-1, 8, 16
Let y(a) be the second derivative of -a**7/10080 + a**6/576 - a**5/120 + 43*a**4/12 - a. Let c(l) be the third derivative of y(l). Solve c(s) = 0.
1, 4
Let g(n) be the third derivative of -n**7/1680 - n**6/72 - 17*n**5/240 - n**4/6 - 95*n**3/6 - 54*n**2. Let p(b) be the first derivative of g(b). Factor p(r).
-(r + 1)**2*(r + 8)/2
Let m(z) be the second derivative of -2809/12*z**3 + 98*z - 1/120*z**5 + 0 + 148877/12*z**2 + 53/24*z**4. Factor m(p).
-(p - 53)**3/6
Let a(i) be the third derivative of i**7/5040 + i**6/720 - i**5/80 - 17*i**4/8 + 122*i**2. Let y(r) be the second derivative of a(r). Factor y(c).
(c - 1)*(c + 3)/2
Let g(z) be the third derivative of -1/30*z**6 - 33*z**2 + 0*z - 4/15*z**5 + 0*z**3 + 5/6*z**4 + 0. Factor g(j).
-4*j*(j - 1)*(j + 5)
Let b(y) be the first derivative of y**4/6 - 44*y**3/3 - 273*y**2/4 - 207*y/2 + 1188. Solve b(v) = 0.
-3/2, 69
Suppose -1/4*b**3 + 54*b + 0 + 25/2*b**2 = 0. Calculate b.
-4, 0, 54
Let y(n) = 4*n**2 - 107*n - 25. Let k be y(27). Let f be k/(-4)*((-144)/68)/9. Factor 18/17*v + 16/17 + f*v**2.
2*(v + 1)*(v + 8)/17
Suppose 0 = -5*m + 4*b - 20, -102*m - 3*b + 15 = -98*m. Let s(o) be the second derivative of 1/84*o**4 + 2/7*o**2 + m - 5/42*o**3 + 26*o. Factor s(k).
(k - 4)*(k - 1)/7
Factor 419*f**3 - 859*f**2 + 1904*f**2 + 271*f**3 - 20*f + 355*f**4 - 730*f**2.
5*f*(f + 1)**2*(71*f - 4)
Let l(h) be the first derivative of -h**7/8820 - h**6/378 - h**5/45 - 2*h**4/21 - 115*h**3/3 + 31. Let z(j) be the third derivative of l(j). Factor z(i).
-2*(i + 2)**2*(i + 6)/21
Let i(t) = t**2 + 2*t + 2. Let u(r) be the first derivative of 7*r**3/3 + 45*r**2 - 178*r - 26. Let m(p) = -3*i(p) + u(p). What is h in m(h) = 0?
-23, 2
Factor -236672/9 - 1376/9*d - 2/9*d**2.
-2*(d + 344)**2/9
Let o = -2/49 + 53/98. Suppose -10*x + 22*x - 24 = 