pose -16*t + 159 + 42 = 51*t. Let n(f) be the first derivative of -20 + 1/6*f**4 + 2/3*f**t + 2/3*f**2 + 0*f. Factor n(l).
2*l*(l + 1)*(l + 2)/3
Let l be (2 + -9)*(-20)/70. Let d = -1/767 + 14579/4602. Factor -1/6*m**5 - d*m**3 - 8/3*m - 2/3 - 7/6*m**4 - 25/6*m**l.
-(m + 1)**3*(m + 2)**2/6
Factor 1927/5*v**2 + 546/5*v + 36/5 - 2209/10*v**3.
-(v - 2)*(47*v + 6)**2/10
Let h(m) be the second derivative of m**7/42 - m**6/6 + 3*m**5/20 + 17*m**4/12 - 14*m**3/3 + 6*m**2 - 482*m. Let h(z) = 0. What is z?
-2, 1, 2, 3
Let 8/13*q - 2/13*q**2 - 6/13 = 0. Calculate q.
1, 3
Let d = -208753/48930 - 1/3262. Let u = -18/5 - d. Factor -2*t + 0 + u*t**2.
2*t*(t - 3)/3
Let f(h) = h**3 + 4*h**2 - 7. Let u be f(-3). Let a be (0 - (0 + -3))/1. Factor -16*y**a + 48*y**2 - 23*y**2 - 21*y**u.
-4*y**2*(4*y - 1)
Let p(s) be the first derivative of 7/36*s**4 - 8/9*s - 1/45*s**5 - 29 - 2/3*s**3 + 10/9*s**2. Suppose p(q) = 0. Calculate q.
1, 2
Let n(z) be the second derivative of -z**4/60 + 127*z**3/30 - 63*z**2/5 + z + 1144. Suppose n(g) = 0. Calculate g.
1, 126
Let i be 4/(-1*2/(-13)) - (23 + -21). Let h(s) be the third derivative of -i*s**2 + 1/20*s**5 + 1/2*s**3 - 1/4*s**4 + 0 + 0*s. Factor h(l).
3*(l - 1)**2
Let y = 643813/7 + -91881. Suppose -722/7 + 74/7*m**2 + y*m + 2/7*m**3 = 0. What is m?
-19, 1
Factor 162/5*k - 288/5*k**2 + 92/5*k**3 + 32/5*k**4 + 0 + 2/5*k**5.
2*k*(k - 1)**2*(k + 9)**2/5
Let d(f) be the first derivative of -f**6/9 + 164*f**5/15 + 42*f**4 + 508*f**3/9 + 85*f**2/3 - 675. Suppose d(c) = 0. What is c?
-1, 0, 85
Let r be (-1)/(-3) - (23902/456)/(-37). What is p in 0 + 2*p**3 + 0*p - 4*p**2 + 1/4*p**5 + r*p**4 = 0?
-4, 0, 1
Let s(o) = o**2 - o - 1. Suppose -9 + 12 = -3*u. Let f(v) = 18*v**2 + 51*v + 348. Let c(y) = u*f(y) + 15*s(y). Suppose c(m) = 0. Calculate m.
-11
Let n(j) be the third derivative of j**6/960 + 3*j**5/160 - j**3/2 - 3*j**2 - 20*j. Let y(g) be the first derivative of n(g). Suppose y(z) = 0. Calculate z.
-6, 0
Suppose 98*c = 88*c + 120. Factor 40*o + c*o**2 + 151*o**3 + 16*o**2 - 147*o**3.
4*o*(o + 2)*(o + 5)
Suppose -17 = -10*j + 3. Let i = 39 + -37. Suppose 5*x - x**3 + 3*x**i + 4*x - 3*x**2 + 3*x**j + 5 = 0. Calculate x.
-1, 5
Suppose -4 = -w - 5*y - 22, 5*w - 4*y = 26. Let p(l) be the third derivative of 0*l - 1/180*l**5 + 0 - 1/24*l**4 - 1/9*l**3 + 16*l**w. Solve p(g) = 0 for g.
-2, -1
Let k(s) be the third derivative of 3/35*s**7 + 128*s**2 + 0*s + 22/15*s**5 + 0 + 1/168*s**8 + 0*s**3 + 1/2*s**6 + 2*s**4. Factor k(g).
2*g*(g + 2)**3*(g + 3)
Suppose 13 = -3*o - 5*w, o + 37*w - 38*w = 9. Factor -1168 - 5*h**3 + 25*h**2 - h**4 + 5*h**5 + 1168 - 24*h**o.
5*h**2*(h - 5)*(h - 1)*(h + 1)
Find q, given that 117128/15 + 968/15*q + 2/15*q**2 = 0.
-242
Let d(u) = 7*u - 8. Let z(n) = -9*n + 5. Let x(f) = -5*d(f) - 4*z(f). Let h be x(-17). Find g such that 0*g**2 + 4/11 + 2/11*g**h - 6/11*g = 0.
-2, 1
Let i(s) be the first derivative of 12 + 0*s - 1/6*s**3 - 1/6*s**2 - 1/24*s**4. Factor i(q).
-q*(q + 1)*(q + 2)/6
Let o = -5265 + 5269. Let h(v) be the third derivative of 7/15*v**5 - 23*v**2 + 8/3*v**3 + 0 + 8/3*v**o + 0*v. Factor h(s).
4*(s + 2)*(7*s + 2)
Let f be (134 + -135)/(5/(-30)). Factor f*q + 0 + 9/2*q**2 + 3/4*q**3.
3*q*(q + 2)*(q + 4)/4
Suppose -66*y - 3*y = 5*y - 296. Let c(a) be the third derivative of -1/90*a**5 + 0 + 1/36*a**y + 2/9*a**3 - 8*a**2 + 0*a. Factor c(h).
-2*(h - 2)*(h + 1)/3
Let g(v) be the first derivative of -3/2*v**4 + 130 + 0*v**3 + 3*v**5 + 0*v + 0*v**2. Suppose g(h) = 0. What is h?
0, 2/5
Let c(x) be the third derivative of 2/15*x**5 - 4*x + 0*x**4 + 1/10*x**6 + 2/105*x**7 - 2*x**2 + 0 + 0*x**3. Factor c(s).
4*s**2*(s + 1)*(s + 2)
Let c = 623/792 + 9/88. Factor -c - 2/3*a**2 - 26/9*a.
-2*(a + 4)*(3*a + 1)/9
Let a be ((-24)/7)/(252/(-2646)). Let w be 60/a*2/3. Determine l, given that 0 + 4/9*l + 8/9*l**3 + w*l**4 - 22/9*l**2 = 0.
-2, 0, 1/5, 1
Let i = 111481 + -780365/7. Determine h, given that 0*h**2 - 12/7 + 2*h - i*h**3 = 0.
-3, 1, 2
Let q(f) = -10*f**2 + 12926*f - 4186048. Let h(d) = -5*d**2 + 6464*d - 2093027. Let x(n) = -7*h(n) + 3*q(n). Factor x(t).
5*(t - 647)**2
Let m = -466945/332 - 7992/83. Let f = m + 1508. Factor 9/4*q + f*q**3 - 9*q**2 + 3/2.
3*(q - 1)**2*(7*q + 2)/4
Factor -56/13*u + 392/13 + 2/13*u**2.
2*(u - 14)**2/13
Let k(y) be the first derivative of -1/9*y**3 + y - 1/50*y**5 + 21 + 1/15*y**2 + 7/90*y**4. Let d(w) be the first derivative of k(w). Factor d(l).
-2*(l - 1)**2*(3*l - 1)/15
Let k = 12320 + -12315. Let x(z) be the second derivative of 28*z + 1/6*z**4 - 3/20*z**k + 2/3*z**3 + 0*z**2 + 0 - 1/84*z**7 - 1/12*z**6. Solve x(v) = 0.
-2, 0, 1
Let d(n) be the first derivative of -10*n**2 + 85 + 1/12*n**3 + 400*n. What is o in d(o) = 0?
40
Factor 1679/4*c + 841/4*c**2 + 839/4 + 1/4*c**3.
(c + 1)**2*(c + 839)/4
Let u(i) be the first derivative of -2*i**3/3 - 90*i**2 + 558*i - 3291. Suppose u(p) = 0. Calculate p.
-93, 3
Let w(x) be the second derivative of -x**4/78 - 82*x**3/39 - 237*x**2/13 - 1937*x. Factor w(i).
-2*(i + 3)*(i + 79)/13
Let v(h) be the third derivative of -3*h**2 + 0*h + 1/105*h**7 + 1/6*h**6 + 0*h**3 + 2 - 5/6*h**4 - 1/30*h**5. Suppose v(a) = 0. What is a?
-10, -1, 0, 1
Let p(o) = 28*o - 61*o**2 + 29 - 112*o**3 + 56*o**3 + 52*o**3 - 46*o**2. Let v be p(-27). Determine r, given that 0 - 4/3*r + 1/6*r**v = 0.
0, 8
Factor 32/9*r + 2/9*r**2 - 1330/9.
2*(r - 19)*(r + 35)/9
Let s(r) be the second derivative of -325*r**7/4 + 895*r**6/6 - 743*r**5/15 - 478*r**4/9 + 356*r**3/9 - 8*r**2 + 2*r + 246. Let s(b) = 0. What is b?
-2/5, 6/65, 2/7, 2/3
Let b(v) be the second derivative of -v**4/66 + 14*v**3/33 + 72*v**2/11 + 4956*v. Suppose b(a) = 0. Calculate a.
-4, 18
Let f be (-2)/2 + 1 + 2790 + -3. Let -1104*u + 190*u**3 - 1620 - 1985*u**2 - 5*u**4 + f*u + 1737*u = 0. Calculate u.
1, 18
Let a be (10 + 10274/(-5))*10/(-3). Suppose -6818*w**2 - 18 + a*w**2 + w + w**3 - 2*w**3 + 22*w - 2*w = 0. What is w?
-6, 1, 3
Factor 4*n + 2860 + 196304*n**2 + 16*n - 196309*n**2.
-5*(n - 26)*(n + 22)
Factor 50/9 + 2/9*t**2 - 52/9*t.
2*(t - 25)*(t - 1)/9
Let w = 28335014/3695871 + -1/1231957. Factor -1/3*d**2 - 22/3*d + w.
-(d - 1)*(d + 23)/3
Let r(k) be the second derivative of -8*k**6/15 + 11*k**5/5 + 13*k**4 + 58*k**3/3 + 10*k**2 + 1914*k. What is h in r(h) = 0?
-1, -1/4, 5
Let f(r) be the first derivative of -4 - 16/27*r**3 + 0*r - 7/9*r**2 - 1/18*r**4. Find c, given that f(c) = 0.
-7, -1, 0
Suppose 191*o - 1/3*o**2 + 574/3 = 0. Calculate o.
-1, 574
Let c(n) be the third derivative of 0 - 68*n**2 + 3/50*n**5 - 3/5*n**3 + 0*n - 1/40*n**4 + 1/200*n**6. Determine m, given that c(m) = 0.
-6, -1, 1
Solve -1/7*j**5 + 32/7*j**3 + 0 - 2/7*j**4 - 30/7*j**2 - 9*j = 0 for j.
-7, -1, 0, 3
Factor 70467062*r**2 - 21384*r**3 - 107923579847*r - 44863581889*r + 2*r**4 + 15272086*r**2 + 102100020830082.
2*(r - 2673)**4
What is m in 20 - 282*m - 4*m**5 + 76*m**3 - 136*m**2 + 140 + 234*m = 0?
-5, -1, 2
Determine p so that 3/4*p**3 + 423*p + 108*p**2 + 420 = 0.
-140, -2
Let c be (-2)/(-7) - 104/(-28). Factor c*a - 12 + 12 + 10*a**2 - a**4 - 4*a**3 - 9*a**4.
-2*a*(a - 1)*(a + 1)*(5*a + 2)
Suppose 6*h - 3*h = 0, h + 80 = 4*l. Let m be l/(-16)*(256/(-140))/8. Suppose -4/21*q**3 + m*q**4 + 0*q - 2/21*q**2 + 0 = 0. Calculate q.
-1/3, 0, 1
Let y(g) = -86*g - 3. Let c be y(7). Let f = c + 607. Suppose 2/7*r**f + 8/7 + 8/7*r = 0. Calculate r.
-2
Let t = 24 - 21. Let i(q) = 13*q + 28. Let a be i(-2). Factor -686/11*g**5 + 144/11 - 1608/11*g + 4704/11*g**4 - 9870/11*g**t + 6316/11*g**a.
-2*(g - 3)**2*(7*g - 2)**3/11
Let y(v) be the second derivative of -v**4/6 - 14*v**3/3 - 24*v**2 + 1082*v. Factor y(l).
-2*(l + 2)*(l + 12)
Let k(l) be the second derivative of 61*l**6/10 + 363*l**5/10 - 2*l**4 + 1852*l. Factor k(f).
3*f**2*(f + 4)*(61*f - 2)
Let c(p) be the first derivative of 5*p**4/4 + 30*p**3 - 810*p**2 + 5400*p + 307. Factor c(r).
5*(r - 6)**2*(r + 30)
Let i = -1682 + 1684. Let x be (-7)/1 + i - 43/(-2). Factor 363/2*l - x*l**2 + 1/2*l**3 - 1331/2.
(l - 11)**3/2
Let i = -962/7 + 490627/3570. Let g(y) be the third derivative of 0*y**3 + 9*y**2 + 1/1785*y**7 - 1/510*y**6 - i*y**5 + 0*y + 1/102*y**4 + 0. Factor g(q).
2*q*(q - 2)*(q - 1)*(q + 1)/17
Find l, given that -19/3*l**2 - 37/3*l - l**3 - 7 = 0.
-3, -7/3, -1
Let f be (3