t**4/2 + 2*t**3 + 3*t**2/2 - 3*t - 1038. Factor l(u).
3*(u - 1)**3*(u + 1)**2
Let h = -233739/100 + 9357/4. Let f(o) be the second derivative of 12/5*o**4 + 3/5*o**2 + 19/25*o**6 + 8*o + h*o**5 + 0 + 17/10*o**3 + 9/70*o**7. Factor f(d).
3*(d + 1)**4*(9*d + 2)/5
Let i(m) = -9*m**2 + 63*m + 78. Let w be 30/(-4)*14*(-18)/(-315). Let j(q) = 16*q**2 - 128*q - 155. Let a(f) = w*j(f) - 11*i(f). Solve a(k) = 0 for k.
-24, -1
Let n(l) be the first derivative of l**4/6 + 8*l**3/3 - 4*l**2/3 - 32*l + 1820. Let n(v) = 0. What is v?
-12, -2, 2
Solve -2783*i**4 + 65 - 330*i**2 + 1441*i**4 + 1327*i**4 + 60*i + 220*i**3 = 0 for i.
-1/3, 1, 13
Suppose b = 4*b - r + 2745, -4*r = 2*b + 1844. Let f = -8242/9 - b. Factor 1/3 - 2/9*v + f*v**3 + 1/9*v**4 - 4/9*v**2.
(v - 1)**2*(v + 1)*(v + 3)/9
Let z(p) = 4*p**2 - 52*p + 3. Let f(s) = -s - 2. Let g be f(1). Let i(t) = -4*t**2 + 52*t - 2. Let m(c) = g*i(c) - 2*z(c). Factor m(k).
4*k*(k - 13)
Let x = -347039/480 - -723. Let z(t) be the third derivative of 0*t + 0 + x*t**6 + 0*t**4 + 0*t**3 + 2*t**2 + 0*t**5. Factor z(s).
s**3/4
Let i = -8220 + 8220. Suppose i - 6/13*b**2 + 2/13*b**5 - 10/13*b**3 - 2/13*b**4 + 0*b = 0. What is b?
-1, 0, 3
Determine d, given that 42*d + 8*d**3 + 38*d**3 - 7*d**3 - 97*d**2 + 35*d**5 + 30*d**3 - 34*d**5 - 15*d**4 = 0.
0, 1, 6, 7
Let h be 4/((-7)/(14/(-4))). Let l(p) = -p**3 + 10*p**2 - 15*p - 4. Let j be l(8). Solve 4*m**4 + 4*m - m**h - 2*m**2 - 2*m**j - 3*m**2 = 0.
-2, 0, 1
Find r, given that -5*r**5 + 213 - 732*r + 522*r**3 - 418*r**2 - 70*r**4 - r**5 + 95 - 36 = 0.
-17, -1, 1/3, 2, 4
Let a(p) = -12*p**2 - 64*p + 96. Let w be (-16 - -12)/(1 + (-14)/10). Let o(v) = -4*v**2 - 20*v + 32. Let u(t) = w*o(t) - 3*a(t). Factor u(g).
-4*(g - 2)*(g + 4)
Suppose -18*v = 6*v - 648. Let y be (v/72*-6)/((-26)/16). Factor y + 2/13*t**2 + 12/13*t.
2*(t + 3)**2/13
Let l(t) be the third derivative of -4/15*t**5 + 0*t + 5 - 1/105*t**7 + 2*t**2 + 0*t**3 + 1/3*t**4 + 1/12*t**6. Factor l(r).
-2*r*(r - 2)**2*(r - 1)
Let j(d) = -318 + 286 - 14*d - d + d**2. Let p be j(17). Solve -40*h - 4*h**p - 46 + 4*h**3 + 14 - h**3 + h**3 = 0 for h.
-2, -1, 4
Let l(g) = 2*g**2 - 15*g - 2. Let n be l(8). Factor n - 6 - 12*a**3 + 72*a**2 + 16*a**3.
4*a**2*(a + 18)
Let w be -13 + 41 - 32 - (-9 + -1). Let q(r) be the first derivative of -1/3*r**w - r**4 - 1 + 0*r + 0*r**3 + 0*r**2 + 6/5*r**5. Factor q(f).
-2*f**3*(f - 2)*(f - 1)
Factor -497025/4 - 705/2*l - 1/4*l**2.
-(l + 705)**2/4
Suppose 58 = 2*k + 4*x, -k + 83*x - 88*x = -23. Let j be k/(-44) + 38/40. Factor -1/5 - j*p**2 + 2/5*p.
-(p - 1)**2/5
Suppose 4 = 7*b - 10. Find p such that -10*p**b + p**3 + 6*p**2 - 7*p**3 + 2*p + 8*p**3 = 0.
0, 1
Let -80/3 + 212/3*h - 14/3*h**3 - 118/3*h**2 = 0. What is h?
-10, 4/7, 1
Suppose -1833*y = -1955*y + 488. Find a, given that -19/3*a**3 - 145/3*a**2 - 64/3 - 176/3*a + 13/3*a**y - 1/3*a**5 = 0.
-1, 8
Let l(u) be the first derivative of 1/24*u**3 + 2*u - 1/80*u**5 + 2 + 1/96*u**4 - 1/16*u**2. Let h(a) be the first derivative of l(a). Factor h(t).
-(t - 1)*(t + 1)*(2*t - 1)/8
Let v(l) be the third derivative of 22*l**2 - 1/150*l**5 + 0*l + 0 + 1/5*l**3 - 1/30*l**4. Factor v(r).
-2*(r - 1)*(r + 3)/5
Let k = -20 + 20. Suppose 8*j - 13*j = k. Suppose 0*x**3 - 1/2*x**2 + 0*x + j + 1/2*x**4 = 0. Calculate x.
-1, 0, 1
Factor -2*q**2 + 3*q**2 + 885*q - 553*q - 4*q**2 - 4220*q.
-3*q*(q + 1296)
Let p(j) = -28*j**2 - 200*j - 894. Let x(y) = 24*y**2 + 200*y + 895. Let f(g) = -5*p(g) - 6*x(g). Factor f(m).
-4*(m + 5)*(m + 45)
Let d(s) be the third derivative of s**8/1008 - s**6/36 + s**4/8 - 83*s**2 + 3*s. Find a, given that d(a) = 0.
-3, -1, 0, 1, 3
Let v(y) be the third derivative of 2*y**5/195 - 5*y**4/52 - 19*y**3/39 + 31*y**2 + 5*y + 2. Factor v(w).
2*(w + 1)*(4*w - 19)/13
Let a(f) be the third derivative of -f**5/450 - 421*f**4/90 - 177241*f**3/45 - f**2 - 987. Let a(c) = 0. What is c?
-421
Let p be ((-21777)/663 - -33)/(8/26)*0. What is q in -7/2*q + p - 1/4*q**2 = 0?
-14, 0
Let z be 9/(-3) + (5 + -1 - -2). Suppose 5*x + 2*a - z*a = 18, -12 = -5*x - a. Factor -5*b**4 + 0*b**5 + 5*b**x - 3*b**2 - 8*b**3 + 10*b**3 + b**5.
b**2*(b - 3)*(b - 1)**2
Let w = -1650 + 11568/7. Factor -48/7*a + 32/7 + w*a**2 - 2/7*a**3.
-2*(a - 4)**2*(a - 1)/7
Suppose -26 = -5*b - 4*s - 5, 0 = 5*b + 5*s - 20. Let n(h) be the third derivative of 0*h + 0 + 1/40*h**b - 1/8*h**4 - 7*h**2 + 1/4*h**3. Factor n(a).
3*(a - 1)**2/2
Let j(z) = -z**3 - 12*z**2 + 12*z - 9. Suppose -45 = 8*s + 59. Let l be j(s). Determine n, given that -8*n**l + 8*n**4 - 3*n**4 = 0.
0
Let f(r) be the second derivative of r**5/100 + 3*r**4/20 + 7*r**3/15 - 12*r**2/5 + 5*r - 30. Suppose f(i) = 0. Calculate i.
-6, -4, 1
Suppose -26*k = -305*k. Let l(h) be the second derivative of 2/5*h**2 + 0*h**5 + 0 + 18*h + 2/75*h**6 - 2/15*h**4 + k*h**3. Solve l(v) = 0.
-1, 1
Let b(h) = -10*h - 119. Let l be b(-11). Let x be 1/((-468)/(-45) + l). Determine o, given that 0 - 4/7*o**2 - x*o = 0.
-5/4, 0
Let j = 671/7 - 95. Let t be (514/1799)/((12/3)/16). Solve t + 1/7*g**2 - j*g = 0 for g.
2, 4
Let u be (-48)/(-64)*((-385)/(-33) - 9). Factor 0 + 4/5*l**u - 3/5*l - 1/5*l**3.
-l*(l - 3)*(l - 1)/5
Let g be (-6660)/(-481) + (-4)/(-26). Let v be ((-56)/g - 27/(-6))*7. Factor 1/4*a**2 + v + 9/4*a.
(a + 2)*(a + 7)/4
Suppose 2*n + 30*a + 58 = 14*a, -4*n + 16 = -a. Factor -34/13*w**n + 126/13*w**2 + 2/13*w**4 + 162/13*w + 0.
2*w*(w - 9)**2*(w + 1)/13
Solve -26/7*g**3 + 24/7 - 122/7*g**2 + 8/7*g**4 - 64/7*g = 0 for g.
-2, -1, 1/4, 6
Let l(g) be the first derivative of -g**6/36 - 13*g**5/30 - 17*g**4/8 - 7*g**3/2 - 3618. Factor l(r).
-r**2*(r + 3)**2*(r + 7)/6
Let z = 649 - 586. Factor -347*a**2 - 32*a + 343*a**2 - 16*a - z - 17.
-4*(a + 2)*(a + 10)
Find v such that -v**5 - 213*v**4 + 21*v**3 - 133*v**4 + 344*v**4 - 18*v**2 = 0.
-6, 0, 1, 3
Let j(o) = 9*o**3 + 3*o. Let n(v) = 4*v - 94. Let q be n(22). Let l(z) = -z**3 - z**2 - 2*z. Let p(k) = q*l(k) - j(k). Factor p(u).
-3*u*(u - 3)*(u + 1)
Let t(x) be the second derivative of x**4/18 - 143*x**3/36 + 45*x**2/2 - 10*x - 95. Let t(b) = 0. Calculate b.
2, 135/4
Let v(p) be the third derivative of -89*p + 0 - 1/16*p**4 - 1/8*p**5 + 0*p**3 - 3/140*p**7 - 7/80*p**6 - p**2. Factor v(y).
-3*y*(y + 1)**2*(3*y + 1)/2
Let o(i) be the second derivative of i**6/30 + 11*i**5/10 - 2*i**4 - 11*i**3/3 + 23*i**2/2 - 1229*i. Factor o(g).
(g - 1)**2*(g + 1)*(g + 23)
Let v(f) be the third derivative of -f**7/252 + f**6/48 - 5*f**4/36 - 713*f**2. Factor v(o).
-5*o*(o - 2)**2*(o + 1)/6
Suppose 8*k - 5*k = -5*i + 13, -4 = -4*k. Let 15 + 139*c + 148*c - 303*c + c**i = 0. Calculate c.
1, 15
Let q(c) = -4*c**3 - 3*c**2 - 2*c - 17. Let v be q(5). Let l = v - -5426/9. Let 2/9*n - l*n**2 + 4/9*n**3 + 8/9*n**4 + 0 - 2/3*n**5 = 0. Calculate n.
-1, 0, 1/3, 1
Let s = -15310127/11 - -1391833. Determine n, given that -s + 2/11*n**2 + 6/11*n = 0.
-6, 3
Find o such that 12*o**2 - 3/2*o**4 - 3*o**3 + 27*o + 27/2 = 0.
-3, -1, 3
Suppose 9*m - 60 = -x, -87*m + x = -88*m + 20. Suppose -1 = -o + g, 4*o = -5*g + 25 - 3. Find h such that -h**2 - 1/2*h**o + 3/4*h**m - 1/4*h + 0 + h**4 = 0.
-1, -1/3, 0, 1
Let -5*t**5 - 62*t**3 - 50*t**4 - 43*t**3 - 2239*t**2 + 2239*t**2 = 0. What is t?
-7, -3, 0
Let t(b) = -8311*b - 24930. Let p be t(-3). Factor -2 - 23/7*d**2 - 33/7*d + 1/7*d**4 - 3/7*d**p.
(d - 7)*(d + 1)**2*(d + 2)/7
Let z(o) be the second derivative of o**4/3 + 34*o**3 + 288*o**2 - 281*o + 8. Factor z(g).
4*(g + 3)*(g + 48)
Let q(m) be the first derivative of 2*m**3 - 12*m - 32 + 5/2*m**2 + 1/4*m**4. Factor q(d).
(d - 1)*(d + 3)*(d + 4)
Let m(a) be the third derivative of 1/20*a**5 + 7/8*a**4 + 0 + 0*a + 6*a**3 - 27*a**2. Factor m(p).
3*(p + 3)*(p + 4)
Let b = 99 + -79. Factor 86*f - 6*f**2 + 7 + 20 + b*f + 4 + 5.
-2*(f - 18)*(3*f + 1)
Let c be 3/(-12)*(-1072)/335. Factor 0 - 3/5*j**2 + 1/5*j**5 + 3/5*j**4 + c*j - j**3.
j*(j - 1)**2*(j + 1)*(j + 4)/5
Suppose -5*t = -3*g - 228 - 124, g - 214 = -3*t. Suppose -66*c = -t*c. Find f such that 0 - 2/5*f**3 + 1/5*f**5 - 1/5*f**4 + 0*f + c*f**2 = 0.
-1, 0, 2
Factor 16/5*i**2 + 0 + 2*i**3 - 24/5*i - 2/5*i**4.
-2*i*(i - 6)*(i - 1)*(i + 2)/5
Let u(y) be the first derivative of y**6/45 - 14*y**5/75 + y**4/5 + 1280. Factor u(b).
2*b**3*(b - 6)*(b - 1)/15
Let g(v) be the first d