t i be b(25). Let w be m(i). Factor -1/9*u**2 + 1/9*u**w + 1/9*u**3 - 1/9*u + 0.
u*(u - 1)*(u + 1)**2/9
Let h be 31866/22 + 168/308. Let f = -4346/3 + h. Let -f*c**2 + 1/6*c + 1/3 - 1/6*c**3 = 0. What is c?
-2, -1, 1
Suppose -4*n = 4*r + 48, -1738 = 4*r + n - 1732. Factor -70/3*x + 1/3 + 1225/3*x**r.
(35*x - 1)**2/3
Let n(m) be the third derivative of m**5/15 + 4*m**4 + 190*m**3/3 - 107*m**2 - 2. Factor n(q).
4*(q + 5)*(q + 19)
Let d(g) be the first derivative of -25*g**4/4 + 1085*g**3/3 - 740*g**2 + 420*g - 1208. Solve d(m) = 0 for m.
2/5, 1, 42
Let n be (-24)/(-98)*1757/753. Factor 0 - 128/7*t**4 - n*t**5 + 0*t - 1024/7*t**3 + 0*t**2.
-4*t**3*(t + 16)**2/7
Let j(s) be the first derivative of s**4/2 + 72*s**3 + 105*s**2 - 428*s - 1531. Factor j(c).
2*(c - 1)*(c + 2)*(c + 107)
Determine z, given that 8424*z**2 - 796*z**3 - 30500*z + 22326 - 595*z**3 + 1139*z**3 + 4*z**4 - 2*z**4 = 0.
1, 3, 61
Let n(s) be the second derivative of -s**6/6 + 27*s**5/2 - 255*s**4 - 7975*s**3/3 - 12615*s**2/2 - 4990*s. Suppose n(d) = 0. Calculate d.
-3, -1, 29
Let b be (5/4)/((-4)/(-16)). Factor -b*q**3 + 3*q**2 - 6*q - 13*q**3 + 15*q**3 + 6*q**2.
-3*q*(q - 2)*(q - 1)
Let s(l) = 3*l - 19. Let c be s(7). Let h = 129 + -81. What is j in h*j - 8*j**c - 192 - 4*j**2 + 9*j**2 = 0?
8
Let j = -11449/630 - -509/28. Let i(w) be the third derivative of -1/30*w**5 + 0*w + 0 - j*w**6 + 1/6*w**4 + 8/9*w**3 - 26*w**2. Suppose i(x) = 0. Calculate x.
-4, -1, 2
Let a(t) be the second derivative of 2/3*t**6 + 0*t**2 - 193/120*t**5 - 5/3*t**4 + 0 - 4/63*t**7 - 4/9*t**3 - 10*t. Factor a(w).
-w*(w - 4)**2*(4*w + 1)**2/6
Let i(v) be the third derivative of v**9/1008 + 3*v**8/560 + v**7/140 + 43*v**3/3 - 2*v**2 + 13. Let k(f) be the first derivative of i(f). Factor k(s).
3*s**3*(s + 1)*(s + 2)
Let o(j) be the first derivative of 2*j**3/21 - 9*j**2/7 - 8223. What is b in o(b) = 0?
0, 9
Let u = -21/943 - -3835/2829. Determine c so that -u - c**2 - 8/3*c = 0.
-2, -2/3
Let w(l) be the first derivative of 0*l**4 + 1/21*l**3 - 7*l - 1/70*l**5 + 0*l**2 + 26. Let x(h) be the first derivative of w(h). Factor x(t).
-2*t*(t - 1)*(t + 1)/7
Let q be 11 - ((-254)/2032 + (2 - (-41)/8)). Factor 3/5*d**5 + 9*d**3 + 0 - 21/5*d**q - 39/5*d**2 + 12/5*d.
3*d*(d - 4)*(d - 1)**3/5
Factor 2904/7*k + 0 - 110*k**2 - 2/7*k**4 + 68/7*k**3.
-2*k*(k - 12)*(k - 11)**2/7
Let y = 141551 + -424646/3. Solve 19/3*r + y*r**2 - 19/3*r**3 + 2/3*r**4 - 3 = 0.
-1, 1/2, 1, 9
Let n(b) = -11*b**3 + 331*b**2 + 739*b - 2839. Let h(s) = -16*s**3 + 497*s**2 + 1109*s - 4253. Let f(u) = -5*h(u) + 7*n(u). Suppose f(x) = 0. Calculate x.
-4, 2, 58
Determine x so that 16 - 1212/7*x**2 - 124/7*x**4 - 6*x**5 + 1018/7*x**3 - 40/7*x = 0.
-7, -2/7, 1/3, 2
Let a(b) = -13*b**2 + 517*b - 754. Let k be a(38). Factor -42 + 9/2*l**3 - 333/2*l - k*l**2.
3*(l - 28)*(l + 1)*(3*l + 1)/2
Let j(s) be the first derivative of s**6/14 + 54*s**5/35 + 327*s**4/28 + 36*s**3 + 42*s**2 + 930. Determine t, given that j(t) = 0.
-7, -2, 0
Factor -41510*k**3 + 275 - 1130*k + 37*k**2 + 78*k**2 + 41530*k**3.
5*(k - 5)*(k + 11)*(4*k - 1)
Let p(y) be the third derivative of -1/21*y**3 + 0*y - 3/245*y**7 + 1/21*y**4 - 1/35*y**6 + 1/105*y**5 + 0 + 164*y**2. Let p(o) = 0. Calculate o.
-1, 1/3
Let q(o) = 3*o - 25. Let h be q(9). Determine l so that 17*l**2 - 14*l**2 + 33*l**h + 3*l**2 + 18*l = 0.
-6/13, 0
Let h be ((-319)/(-22))/(4930/680). Factor -4/5*z**h - 1/5*z**3 + 6/5 - 1/5*z.
-(z - 1)*(z + 2)*(z + 3)/5
Let y be (2/(-24))/(153/(-204)). Let m(r) be the second derivative of -1/4*r**5 + y*r**6 + 0 + 5/18*r**3 + 0*r**4 - 12*r + 0*r**2. Factor m(b).
5*b*(b - 1)**2*(2*b + 1)/3
Let q be 4*(-3 + 14/4). Let w be 2/(-5) + ((-8)/136)/(5/(-44)). Factor w*u**q - 16/17 + 4/17*u.
2*(u - 2)*(u + 4)/17
Let j be (-15)/(300/184) - -10. Suppose -6*n = -10*n + 16. Find s, given that j*s**n - 8/5*s**3 + 0 - 4/5*s**2 + 8/5*s = 0.
-1, 0, 1, 2
Let l = -423 - -429. Factor -v - 5*v**2 + 515*v**4 - 516*v**4 + 2*v**3 + 2*v**3 + l*v - 3*v.
-v*(v - 2)*(v - 1)**2
Factor 0 + 35*b**3 - 15*b**3 - 21*b**3 - 110*b + 0 + 57*b**2.
-b*(b - 55)*(b - 2)
Let o be (-7)/14*(2 + -8). Let 30*q**2 - 52*q**o + 97*q**3 - 63*q + 32 - 44*q**3 = 0. Calculate q.
-32, 1
Let w(t) = 94*t**2 - 3*t - 11. Let y be w(-2). Let k = y + -369. Suppose c**2 - 5/2*c + 1 - k*c**4 + 2*c**3 + 1/2*c**5 = 0. What is c?
-1, 1, 2
Let b be 4*(150/(-24))/(-5). Let n be (2/b)/(21/30). Find i, given that -2/7*i**2 + 4/7*i + 0 + 2/7*i**4 - n*i**3 = 0.
-1, 0, 1, 2
Let v(y) = -2*y**4 + 498*y**3 + 501*y**2 + y - 2. Let k(t) = -t**4 - t + 2. Let x(d) = k(d) + v(d). Suppose x(l) = 0. What is l?
-1, 0, 167
Let c(p) = -p**4 + 3*p**3 + p**2 - 2*p - 1. Let l(k) = -36*k**4 + 159*k**3 + 183*k**2 - 78*k - 39. Let w(j) = -39*c(j) + l(j). Suppose w(h) = 0. What is h?
-8, -6, 0
Let m(r) be the first derivative of -40*r**2 - 1/2*r**5 + 5/4*r**4 + 40*r + 25/2*r**3 + 151. Determine u so that m(u) = 0.
-4, 1, 4
Let p(m) be the first derivative of -1/6*m**6 - 24 + 7/4*m**4 - 10/3*m**3 + 4/5*m**5 + 0*m + 0*m**2. Factor p(t).
-t**2*(t - 5)*(t - 1)*(t + 2)
Suppose -7 - 40 = -34*g + 89. Let y(u) be the first derivative of 8/5*u**3 + 96/5*u**2 + 512/5*u - 21 + 1/20*u**g. Factor y(f).
(f + 8)**3/5
Let j be ((-1400)/(-90) + -16)*18/(-4). Let h(w) be the first derivative of 0*w**j + 9 - 1/4*w**4 + 4*w - w**3. Determine v so that h(v) = 0.
-2, 1
Let b(k) be the second derivative of k**6/135 - 2*k**5/45 + k**4/54 + 2*k**3/9 - 1740*k + 1. Determine m so that b(m) = 0.
-1, 0, 2, 3
Let q(l) be the first derivative of 20/3*l**3 - 23*l**2 - 55 + 28*l - 1/2*l**4. Factor q(a).
-2*(a - 7)*(a - 2)*(a - 1)
Let w(z) be the first derivative of 7*z**6/39 - 116*z**5/65 - 307*z**4/13 - 888*z**3/13 - 513*z**2/13 + 540*z/13 - 1665. Suppose w(b) = 0. Calculate b.
-3, -1, 2/7, 15
Let x(a) = -60*a**3 - 5220*a**2 + 21688*a - 21928. Let p(s) = 4*s**3 + 348*s**2 - 1446*s + 1462. Let c(k) = 44*p(k) + 3*x(k). Find l such that c(l) = 0.
-91, 2
Solve 35/4*a**2 + 10*a**3 - 45*a + 5/4*a**4 - 45 = 0 for a.
-6, -3, -1, 2
Let k(b) be the second derivative of b**4/30 - 1072*b**3/15 + 287296*b**2/5 + 1705*b. Determine g, given that k(g) = 0.
536
Factor -137*u - 14*u**3 - 3 - 146*u + 333*u + 3 + 35*u**2 + u**4.
u*(u - 10)*(u - 5)*(u + 1)
Let q(b) be the second derivative of -3*b**5/80 + 9*b**4/8 - 69*b**3/8 + 39*b**2/2 - 1862*b. Find f such that q(f) = 0.
1, 4, 13
Let k(m) be the first derivative of -m**4/4 + 10*m**3 - 149*m**2/2 + 120*m - 14741. Factor k(t).
-(t - 24)*(t - 5)*(t - 1)
Determine o, given that -2*o**5 + 178/7*o**3 - 16 - 488/7*o + 80/7*o**4 - 292/7*o**2 = 0.
-2, -1, -2/7, 2, 7
Let l(s) = 2*s**2 - 25*s - 25. Let x be l(-1). Let v(j) be the first derivative of 0*j + 12 - 2/21*j**3 - 1/7*j**x. Let v(p) = 0. What is p?
-1, 0
Let p(z) be the third derivative of -z**6/120 - 29*z**5/15 - 841*z**4/6 - 773*z**2 + 4*z. Let p(n) = 0. Calculate n.
-58, 0
Let j(d) be the first derivative of d**5/35 - 8*d**4/7 + 253. Factor j(f).
f**3*(f - 32)/7
Let b(i) be the first derivative of i**4/10 - 64*i**3/15 + 12*i**2 + 1351. Factor b(k).
2*k*(k - 30)*(k - 2)/5
Let o(w) be the second derivative of -w**8/26880 + w**7/1440 - w**4/12 + w**3/2 + 23*w. Let u(v) be the third derivative of o(v). Factor u(j).
-j**2*(j - 7)/4
Let c(h) be the first derivative of 0*h - 1/2520*h**6 + 1/84*h**4 - 9*h**3 + 21 + 1/840*h**5 + 0*h**2. Let t(u) be the third derivative of c(u). Factor t(v).
-(v - 2)*(v + 1)/7
Let q(d) be the third derivative of 1/300*d**5 - 104*d**2 + 0*d**3 - d - 1/20*d**4 + 0. Factor q(k).
k*(k - 6)/5
Let s(g) be the third derivative of -g**8/840 - 9*g**7/700 - 17*g**6/1200 + 59*g**5/300 + 11*g**4/20 - 2*g**3/3 + 1171*g**2. Solve s(r) = 0 for r.
-5, -2, 1/4, 2
Let i(c) be the second derivative of -c**4/21 - 116*c**3/21 + 240*c**2/7 + 3411*c. Solve i(m) = 0 for m.
-60, 2
Let o be ((-18)/(-28))/(15786/14032). Factor -20/7 + 26/7*w - o*w**2 - 2/7*w**3.
-2*(w - 2)*(w - 1)*(w + 5)/7
Let x(l) be the first derivative of -3*l**4/28 + 612*l**3/7 - 282735*l**2/14 + 558150*l/7 + 4348. Factor x(m).
-3*(m - 305)**2*(m - 2)/7
Let j(m) be the first derivative of -m**5/20 + 7*m**4/8 + 4*m**3 + 89*m**2/2 + 101. Let v(l) be the second derivative of j(l). Determine q so that v(q) = 0.
-1, 8
Let b(y) be the third derivative of -4/7*