a - 1)
Let v(d) = 2*d**2 + 72*d + 619. Let w be v(-14). Factor k + 1/6*k**w + 0 - 5/6*k**2.
k*(k - 3)*(k - 2)/6
Let c be (-3*2)/(-3) - -1. Let k = 382 + -380. Factor -c*p**4 + 1680*p**5 - p**2 - 1678*p**5 + 3*p**k - 3*p**3.
p**2*(p - 2)*(p + 1)*(2*p - 1)
Let n(g) = 6*g**2 + 128*g - 82. Let h(a) = 6*a**2 + 128*a - 80. Let z = -966 + 963. Let w(i) = z*h(i) + 4*n(i). Factor w(p).
2*(p + 22)*(3*p - 2)
Let c(x) be the first derivative of x**5/10 - 5*x**4/2 - 46*x**3/3 - 24*x**2 - 1942. Factor c(d).
d*(d - 24)*(d + 2)**2/2
Let n(h) = 163*h**3 - 1134*h**2 - 3366*h - 2234. Let p(l) = 15*l**3 + 2*l + 2. Let q(d) = 2*n(d) - 22*p(d). Factor q(a).
-4*(a + 1)*(a + 2)*(a + 564)
Let y be 0*(-5 + -1 - -5)*(-21)/42. Factor y - 58/15*g**2 - 2/15*g**4 - 28/15*g - 32/15*g**3.
-2*g*(g + 1)**2*(g + 14)/15
Suppose -5*l - 3485 = -5*p, 5*p - 1407 = -3*l + 2086. Factor 28*c**2 + 698 - p - 2*c**3.
-2*c**2*(c - 14)
Let s(v) be the first derivative of -v**3/7 + 372*v**2/7 + 2259*v/7 - 11267. Factor s(p).
-3*(p - 251)*(p + 3)/7
Let m(q) = 4*q**2 - 11*q + 17. Let w be m(10). Suppose 0 = 2*p - w + 25. Find c such that -10*c**2 + 3*c**4 + 2*c**4 - 136 + p = 0.
-1, 1
Let v(a) be the third derivative of -a**7/2520 + 17*a**6/180 - 289*a**5/30 + a**4/12 - a**3 - 118*a**2. Let u(y) be the second derivative of v(y). Factor u(r).
-(r - 34)**2
Let r(a) be the second derivative of 2/3*a**3 - 1/5*a**5 - 4*a**2 - 15*a - 1 + 2/3*a**4. Factor r(w).
-4*(w - 2)*(w - 1)*(w + 1)
Let c(z) = -10*z**3 - 350*z**2 - 207*z - 7239. Let l be c(-35). Factor 13/2*g + 1/2*g**2 + l.
(g + 1)*(g + 12)/2
Factor -30086 - 50*o - 231*o**2 + 30110 + 75*o**3 - 232*o.
3*(o - 4)*(o + 1)*(25*o - 2)
Let f be (-45)/(-1155)*4/3. Let t = 65/231 + f. Factor 1/3*o - 2/3 - t*o**4 - 1/3*o**3 + o**2.
-(o - 1)**2*(o + 1)*(o + 2)/3
Let z(n) = -426*n + 84. Let j(t) = -t**2 - t. Let g(h) = 20*j(h) - 4*z(h). Find v, given that g(v) = 0.
1/5, 84
Let r(w) be the first derivative of 47 + 8*w - 15*w**2 - 8/3*w**3. Factor r(v).
-2*(v + 4)*(4*v - 1)
Let m(z) be the second derivative of z**6/150 - z**5/25 + z**4/15 - 175*z - 2. Factor m(y).
y**2*(y - 2)**2/5
Let g(f) = -f**3 + 25*f**2 + 14*f - 2055. Let p be g(21). Suppose 2/3*z**4 + 2*z**p + 0 + 4/3*z**2 + 0*z = 0. What is z?
-2, -1, 0
Let l(t) = 161*t - 1123. Let u be l(7). Let m(v) be the first derivative of 1/4*v**u - 19 - 23/18*v**2 + 10/9*v**3 + 4/9*v. Factor m(q).
(q + 4)*(3*q - 1)**2/9
Let m = 3033/7114 - -262/3557. Factor 0 - m*o + 1/6*o**2.
o*(o - 3)/6
Factor -5/4*x**2 - 4415/4*x + 0.
-5*x*(x + 883)/4
Let p(x) be the third derivative of x**7/210 - x**6/10 + 3*x**5/20 + 11*x**4/12 - 13*x**2 - 4*x. Factor p(z).
z*(z - 11)*(z - 2)*(z + 1)
What is g in -128/3*g + 0 + 4/3*g**4 - 46/3*g**3 - 280/3*g**2 = 0?
-4, -1/2, 0, 16
Let h(s) be the third derivative of -s**8/147 - 26*s**7/245 + 221*s**6/210 - 82*s**5/35 - 50*s**4/21 + 16*s**3 - 17*s**2 - 11*s. Let h(p) = 0. What is p?
-14, -3/4, 1, 2
Let l(h) = 1318*h**2 + 20*h - 26. Let p(b) = -224*b**2 - 3*b + 4. Let q(z) = -6*l(z) - 39*p(z). Factor q(n).
3*n*(276*n - 1)
Suppose 92 = 4*r - 136. Suppose -39 = -60*d + r*d. Factor -8*o**3 + d*o**3 + 7*o**2 + 20*o - 32*o**2.
5*o*(o - 4)*(o - 1)
Suppose -190*c**2 + 11*c**4 - 25*c**3 - 5*c**5 - 40*c - 43*c**4 - 80*c + 27*c**4 + 45*c**4 = 0. Calculate c.
-1, 0, 4, 6
Let c(i) be the second derivative of -i**6/36 + 377*i**5/24 - 935*i**4/9 + 1865*i**3/9 + 5081*i - 2. Find a, given that c(a) = 0.
0, 2, 373
Let m be 32/72 + (-205)/(-45). Let v(y) be the third derivative of 0*y**4 + 0*y + 0*y**3 + 1/60*y**6 - 15*y**2 - 1/10*y**m + 0. Find p such that v(p) = 0.
0, 3
Let l(c) = -c**2 + 4*c + 5. Let q = -185 - -190. Let f be l(q). Factor f*y + 0 - y**2 - 1/3*y**3.
-y**2*(y + 3)/3
Suppose -52*v + 128*v + 114*v - 5*v**2 - 525 = 0. Calculate v.
3, 35
Suppose -224957 - 60199 - 212*q**2 - 794*q**2 - 4*q**3 - 898*q**2 - 287292*q - 236*q**2 = 0. What is q?
-267, -1
Let n(q) be the first derivative of -1/8*q**5 - 15 - 4/3*q**3 - 5/12*q**4 - 1/72*q**6 + 0*q + 0*q**2. Let w(k) be the third derivative of n(k). Solve w(v) = 0.
-2, -1
Let y(b) be the third derivative of -b**7/315 + b**6/270 + 13*b**5/90 + b**4/3 - 21*b**3/2 - 23*b**2. Let w(h) be the first derivative of y(h). Factor w(c).
-4*(c - 3)*(c + 2)*(2*c + 1)/3
Suppose 10*c - 80 = -10*c. What is d in 61*d**2 - 4 + 1083*d**3 + 4 + c - 64*d + 72*d**2 = 0?
-1/3, 2/19
Let p(u) be the first derivative of 7/4*u**2 + 67 + 0*u + 1/6*u**3. Determine v, given that p(v) = 0.
-7, 0
Find z, given that -44*z**5 + 108*z**4 + 46*z**5 - 11790*z**2 + 66*z**4 + 3514*z**3 - 2952*z + 11052*z = 0.
-45, 0, 1, 2
Let b(l) be the first derivative of 0*l - 96*l**2 + 12*l**4 - 2/3*l**6 - 80/3*l**3 + 12/5*l**5 + 328. Let b(i) = 0. What is i?
-2, 0, 3, 4
Let z be -6 - (-1)/3*23/(92/120). Let a(x) be the second derivative of 3/140*x**5 - 11*x + 0 - 1/14*x**3 + 3/14*x**2 - 1/28*x**z. Solve a(r) = 0.
-1, 1
Let k(l) be the first derivative of -4*l**3/3 - 22*l**2 - 40*l + 88. Find z such that k(z) = 0.
-10, -1
Let g be (-212)/(-240) + ((-4)/(-48))/((-434)/(-63) + -7). Factor -62/15*m + 34/15*m**2 + 2 - g*m**3.
-2*(m - 15)*(m - 1)**2/15
Let s be ((-2)/(-6))/(145/(-30) - -5). Factor -28 + 58*x - 5*x**s + 31 + 57 + 4*x**2 - x**2.
-2*(x - 30)*(x + 1)
Let p be 72/756 + 8/(-84). Let n(v) be the first derivative of p*v + 0*v**3 - 9 + 0*v**4 + 0*v**2 + 1/54*v**6 + 1/45*v**5. Factor n(h).
h**4*(h + 1)/9
Let o = -151913/2 - -75964. Factor -250 + 75*q + 1/4*q**3 - o*q**2.
(q - 10)**3/4
Let g(t) be the third derivative of -t**8/784 - t**7/49 - 5*t**6/56 + t**5/7 + 10*t**4/7 - 32*t**3/7 + 3028*t**2. Let g(w) = 0. What is w?
-4, 1
Suppose -5606*h + 5*v + 65 = -5611*h, 4*h - 67 = 3*v. Factor -20/11 - 14/11*m**3 + 2/11*m**h - 54/11*m**2 - 58/11*m.
2*(m - 10)*(m + 1)**3/11
Let c(b) be the second derivative of -b**5/40 + 11*b**4/3 - 257*b**3/12 + 85*b**2/2 + 875*b. Factor c(j).
-(j - 85)*(j - 2)*(j - 1)/2
Let p(o) be the first derivative of -2*o**7/105 + 19*o**6/30 - 7*o**5/3 + 17*o**4/6 - o**2/2 + 4*o - 84. Let l(z) be the second derivative of p(z). Factor l(x).
-4*x*(x - 17)*(x - 1)**2
Let c(d) be the third derivative of 0*d + 0*d**3 + 0*d**4 + 1/30*d**6 + 2 - 1/30*d**5 - 20*d**2. Factor c(s).
2*s**2*(2*s - 1)
Let z = 4073 - 4071. Let f(i) be the third derivative of 1/60*i**6 + 0*i - 1/240*i**5 + 0*i**3 + 0 - 1/48*i**4 - 1/168*i**7 + 18*i**z. Factor f(m).
-m*(m - 1)**2*(5*m + 2)/4
Let m be (-292)/(-100) + 108/1350 - 0. Factor 56/3*t - 8 - 26/3*t**2 - 2*t**m.
-2*(t - 1)*(t + 6)*(3*t - 2)/3
Let f(t) be the second derivative of 3*t**5/80 + 3*t**4/2 - 171*t**3/8 + 405*t**2/4 - 1486*t. What is m in f(m) = 0?
-30, 3
Let v(y) be the second derivative of -y**6/120 + 143*y**5/40 - 3906*y. Determine h, given that v(h) = 0.
0, 286
Let t(q) be the first derivative of -2*q**5/35 - 6*q**4/7 - 10*q**3/3 - 24*q**2/7 - 836. Factor t(n).
-2*n*(n + 1)*(n + 3)*(n + 8)/7
Let v(h) = 128*h**2 - 50*h + 8. Let z(k) = 244*k**2 + 139*k**2 + 23 - 139*k - 11*k + 0*k**2. Let d(n) = -8*v(n) + 3*z(n). Factor d(j).
5*(5*j - 1)**2
Let b = 12137/5790 + 168/193. Let h = b - 13/6. Suppose -3/5*u**2 - 4/5*u - 1/5*u**4 + h*u**3 + 4/5 = 0. What is u?
-1, 1, 2
Suppose 83*r = 96*r - 325. Let f be (-110)/(-75) - 20/r. What is b in -f*b**2 - 2/3*b**3 + 0 + 4*b = 0?
-3, 0, 2
Let b = -390 + 393. Solve d**2 - 55*d + 3 + 4 + d**2 + 20 + 9*d**5 + 54*d**b - 8*d**5 - 29*d**4 = 0.
-1, 1, 27
Let c(z) be the first derivative of 49*z**4/16 - 97*z**3/6 - 253*z**2/8 - 5*z/2 - 2265. Let c(x) = 0. Calculate x.
-1, -2/49, 5
Let i(f) be the first derivative of -f**5/160 + 11*f**4/96 - 5*f**3/6 + 3*f**2 + 103*f + 169. Let s(m) be the first derivative of i(m). Factor s(p).
-(p - 4)**2*(p - 3)/8
Let u be 2/4 - 24/(-16). Suppose -2*l = -3*m + 17, u*l = m + 1 - 12. Factor -2/5*t + 1/5*t**m - 1/5*t**2 + 0.
t*(t - 2)*(t + 1)/5
Let m(n) = -8*n**2 + 6244*n - 39. Let q(l) = 3*l**2 - 2498*l + 15. Let c(d) = 10*m(d) + 26*q(d). Factor c(v).
-2*v*(v + 1254)
Let y(o) be the first derivative of -o**7/3360 + o**6/720 + o**5/480 - o**4/48 + o**3/3 - 5*o**2/2 - 92. Let t(h) be the third derivative of y(h). Factor t(k).
-(k - 2)*(k - 1)*(k + 1)/4
Let f(h) be the first derivative of h**3/6 + 31*h**2/2 - 195*h/2 + 2104. Factor f(g).
(g - 3)*(g + 65)/2
Let s(a) be the second derivative o