e the first derivative of -2*x**3/21 + 5*x**2 + 2463. Factor o(w).
-2*w*(w - 35)/7
Let f(t) be the third derivative of -t**6/150 - t**5/20 - 17*t**4/120 - t**3/5 - 3616*t**2. Let f(v) = 0. What is v?
-2, -1, -3/4
Let g(x) = x**3 + 22*x**2 - 44*x - 20. Let y be g(-23). Let q = 465 - y. Factor -2/11*w**q + 0 - 4/11*w.
-2*w*(w + 2)/11
Let q(k) be the third derivative of -1/2*k**3 + 2*k - 1/20*k**6 + 0 - 1/112*k**8 - 1/10*k**5 - 2*k**2 + 3/8*k**4 + 3/70*k**7. Factor q(s).
-3*(s - 1)**4*(s + 1)
Suppose 9 = 146*v - 149*v, -5*i + 160 = -5*v. Let l(y) be the first derivative of -1/2*y**2 + 0*y + i - y**3 + y**4. Let l(w) = 0. What is w?
-1/4, 0, 1
Suppose l = 4*l - 81. Let o = -24 + l. Let 3 - 11*t - o + 9*t + t**2 = 0. Calculate t.
0, 2
Let i be 2/(-16) + (-68)/(-32). Suppose -z + i*q = -7, 2*z = -3*q + 8*q + 16. Factor -21/2*j**z - 9/2*j**2 - 15/2*j**4 + 0 + 0*j - 3/2*j**5.
-3*j**2*(j + 1)**2*(j + 3)/2
Let o(y) be the second derivative of y**5/12 + 25*y**4 + 3000*y**3 - 197*y**2/2 - 16*y - 9. Let v(a) be the first derivative of o(a). Factor v(p).
5*(p + 60)**2
Let v(z) be the third derivative of 0*z**4 + 0 + 0*z**5 + 0*z**3 - 42*z - z**2 - 2/245*z**7 + 1/1176*z**8 + 1/84*z**6. What is q in v(q) = 0?
0, 1, 5
Let n = 1837174/7 - 262453. Determine b so that n*b + 2/7 + 1/7*b**2 = 0.
-2, -1
Suppose -668*g = 1128*g - 17371 + 6595. Factor 1/2*y**4 - g*y + y**3 + 18 - 11/2*y**2.
(y - 2)**2*(y + 3)**2/2
Let d(a) be the second derivative of -1/10*a**6 - 9*a - 33/20*a**5 + 5*a**3 + 1/14*a**7 + 12*a**2 - 7/4*a**4 + 0. What is b in d(b) = 0?
-2, -1, 1, 4
Let w(d) be the third derivative of 23*d**2 - 1/240*d**6 + 0*d + 1/48*d**4 + 0 + 0*d**3 - 1/240*d**5 + 1/840*d**7. Factor w(m).
m*(m - 2)*(m - 1)*(m + 1)/4
Let c(i) be the first derivative of i**5/12 - 5*i**4/6 - 25*i**3/6 - 17*i**2 - 2*i + 30. Let j(a) be the second derivative of c(a). Let j(y) = 0. Calculate y.
-1, 5
Let b = 1440139 + -1440137. Factor 1/5*i**b + 148/5*i + 5476/5.
(i + 74)**2/5
Let d(x) be the third derivative of 0*x**3 + 0 + 1/40*x**6 - 3*x - 1/112*x**8 + 0*x**4 + 1/70*x**7 + 6*x**2 - 1/20*x**5. Factor d(b).
-3*b**2*(b - 1)**2*(b + 1)
Let z be -6 + 1 - 340/(24 - 92). Factor z + 1/3*r**4 + 0*r + 0*r**2 + r**3.
r**3*(r + 3)/3
Let w = 2/1995 + 383/15960. Let o(h) be the second derivative of -18*h + w*h**5 + 0*h**4 + 0 + 0*h**2 - 1/12*h**3. What is n in o(n) = 0?
-1, 0, 1
Suppose 5*f = -4*g + 33, 0 = -3*g + g - f + 9. Suppose 90*r**5 + 39*r**2 + 8*r + 29*r**2 + 216*r**4 - 4*r**g + 182*r**3 = 0. What is r?
-1, -2/3, -2/5, -1/3, 0
Let d(f) = f**2 + f + 5. Let j(c) = 7*c**2 - 1768*c - 428. Let y(z) = 3*d(z) - j(z). Factor y(g).
-(g - 443)*(4*g + 1)
Factor -39*h**2 - 381*h + 1891*h + 1488400 - 33*h**2 + 73*h**2 + 930*h.
(h + 1220)**2
Let m be (-5)/2 - -3 - (-210)/(-12). Let l(t) = -11*t**2 - 11*t. Let w(z) = 32*z**2 + 32*z. Let y(g) = m*l(g) - 6*w(g). Factor y(d).
-5*d*(d + 1)
Suppose 0 = -117*k + 541*k. Factor 18 + k*q**2 + 3/2*q**3 - 39/2*q.
3*(q - 3)*(q - 1)*(q + 4)/2
Let k(x) = -x**2 - 44*x - 56. Let y be k(-28). Suppose -35*z - y - 12*z - 9*z - 2*z**2 = 0. What is z?
-14
Factor 4 - 3882*w + 1255827*w**2 - 270840023/2*w**3.
-(647*w - 2)**3/2
Suppose -2*j = -5*u + j - 20, 4*u - 5*j + 16 = 0. Let y be (30/(-9))/5*18/u. Find k such that 3/4*k + 0*k**2 - 1/2 - 1/4*k**y = 0.
-2, 1
Let n(j) be the third derivative of -1/30*j**5 + 0*j + 1/315*j**7 + 1/18*j**4 - 2*j**2 - 6 + 0*j**3 + 0*j**6. Determine s so that n(s) = 0.
-2, 0, 1
What is t in -2/3*t**4 - 28/3*t**3 - 32*t**2 + 98/3 + 28/3*t = 0?
-7, -1, 1
Let i(r) be the second derivative of -4*r**4/21 + 562*r**3/21 - 20*r**2 + 2573*r. Factor i(w).
-4*(w - 70)*(4*w - 1)/7
Let a(c) = 4*c**2 + 1. Let r be a(-1). Let m be (-6)/33*54681/(-3314). Determine z so that -3/2*z**r + 3/2*z**4 + 0*z**m + 0*z**2 + 0*z + 0 = 0.
0, 1
Let z(y) be the third derivative of y**5/300 - 17*y**4/60 - 12*y**3/5 + 495*y**2. Suppose z(u) = 0. What is u?
-2, 36
Let k(d) = 2*d**3 - 2*d**2 + 4*d - 4. Let j be k(1). Suppose j = -5*o + 2*o. Factor 0 + 2/23*i**2 + o*i - 2/23*i**3.
-2*i**2*(i - 1)/23
Let g(p) = 4*p - 4*p**2 - 12*p - 21 - 9*p + 11. Let z be g(-3). Factor 0*w - 1/4*w**4 - 1/8*w**3 + 0 - 1/8*w**z + 0*w**2.
-w**3*(w + 1)**2/8
Let t(a) = 35*a**5 - 22*a**4 - 55*a**3 + 106*a**2 + 20*a - 40. Let c(z) = -z**4 + 9*z**2 - 4. Let y(s) = 44*c(s) - 4*t(s). Suppose y(q) = 0. Calculate q.
-1, -2/5, -2/7, 1
Let p(l) be the first derivative of -l**5/15 - l**4 - 16*l**3/3 + 34*l**2 - 33. Let v(u) be the second derivative of p(u). Factor v(g).
-4*(g + 2)*(g + 4)
Let k(n) be the second derivative of 0*n**2 + 1/255*n**6 - 18 + 24/17*n**4 - 2*n + 12/85*n**5 + 0*n**3. Factor k(c).
2*c**2*(c + 12)**2/17
Let t = -13 - -56. Let u = -41 + t. Find q, given that -8*q**2 + 6*q**2 - q**4 - u*q + 11*q**2 - q**3 + 4 - 9*q = 0.
-4, 1
Let k be (-2)/3*(-828)/184. Factor -242*n**3 + 41*n**2 - 4*n**4 + 218*n**k - 32*n - 3*n**2 + 22*n**2.
-4*n*(n - 1)**2*(n + 8)
Let s(b) be the second derivative of -b**6/6 + b**5/4 + 20*b**4 - 430*b**3/3 + 400*b**2 - 3739*b. Factor s(g).
-5*(g - 5)*(g - 2)**2*(g + 8)
Suppose 136 - 26 = 22*o. Suppose -4*m + 5 = 5*w + 13, 4*w - 10 = o*m. Factor 2/15*l + 2/5*l**2 + w.
2*l*(3*l + 1)/15
Let t(h) be the third derivative of -h**7/735 + 83*h**6/420 - 163*h**5/210 + 27*h**4/28 - 915*h**2. Let t(k) = 0. Calculate k.
0, 1, 81
Let f(y) = 14*y**2 + 70*y + 3. Let u be f(-5). Let h be (-8)/5*((-99)/18 + u). Suppose -2/3*a + a**2 + 1/6*a**3 - 1/6*a**h - 4/3 = 0. Calculate a.
-2, -1, 2
Let k(y) = 310*y**2 - 25*y - 790. Let c(i) = -53*i**2 + 4*i + 132. Let o(v) = -35*c(v) - 6*k(v). Factor o(r).
-5*(r - 6)*(r + 4)
Let z(b) be the first derivative of 7*b**3/12 + 23*b**2/4 + 16*b + 1990. Factor z(s).
(s + 2)*(7*s + 32)/4
Let f = 631/3531 - -1/321. Let c be 3*(-1 - 1/((-6)/10)). Solve f*u**c + 2/11*u + 0 = 0 for u.
-1, 0
Let r(s) = 55*s**3 + 39*s**2 + 93*s + 64. Let u(q) = 6*q**3 + 2*q**2 + q. Let g(d) = -5*r(d) + 45*u(d). Determine h so that g(h) = 0.
-16, -4, -1
Let o(c) be the third derivative of c**5/12 - 175*c**4/24 - 95*c**3 + 920*c**2. Factor o(k).
5*(k - 38)*(k + 3)
Find h such that -14907*h + 14907*h + 2*h**5 + 152*h**3 - 46*h**4 = 0.
0, 4, 19
Factor 1123*l**2 + 248502998 + 1871*l**2 - 3*l**3 + 5*l**3 + 521202*l - 4*l**3 - 2015208*l.
-2*(l - 499)**3
Suppose -3*v = -3*q - 0*q - 11676, -4*q + 20 = 0. Let -493*k**2 + 9*k**3 - 379*k**2 + 29*k**2 + v + 19599*k + 2730 = 0. What is k?
-1/3, 47
Let i be (-1)/(4/12) - 610/(-22). Let w = i - 1338/55. Suppose 4/5*o**2 - w*o**5 + 8/5*o**4 - 2*o**3 + 0*o + 0 = 0. Calculate o.
0, 1, 2
Let y(p) be the second derivative of p**5/200 + 3*p**4/2 + 644*p**3/5 - 8464*p**2/5 + 3972*p. Solve y(m) = 0 for m.
-92, 4
Factor 8/13*d - 2/13*d**2 + 10/13.
-2*(d - 5)*(d + 1)/13
Let p be (224/(-560))/((-36)/45). Factor d + 1/2 - p*d**4 - d**3 + 0*d**2.
-(d - 1)*(d + 1)**3/2
Let k(j) = 4*j + 85 + 88 - 173. Let v be k(1). Suppose 6*f**3 - 4*f**2 + 9*f**3 - 4*f**v - 7*f**3 = 0. What is f?
0, 1
Let k = -26490 + 26494. Let m(t) be the second derivative of 0 - 13/3*t**3 + 6*t**2 + 3*t + 1/3*t**k. Factor m(z).
2*(z - 6)*(2*z - 1)
Let q(y) = -3*y**2 + 2*y. Let f(r) = -26*r**2 + 12*r + 16. Let u(n) = f(n) - 8*q(n). Factor u(x).
-2*(x - 2)*(x + 4)
Let 170*y**2 + 499*y**4 - 48 - 75*y**3 + 48 - 504*y**4 = 0. Calculate y.
-17, 0, 2
Let y(c) = -c**3 - 10*c**2 - 21*c + 21. Let a be y(-6). Factor -120 - 47*o + 72 + 2*o - 27*o**2 - 27*o - a*o**3.
-3*(o + 1)*(o + 4)**2
Suppose -4*n + 24 + 0 = 2*i, 3*i = 4*n - 14. Factor -1/4*r**3 + 1/2*r**4 + 0 + 0*r + 1/4*r**5 - 1/2*r**i.
r**2*(r - 1)*(r + 1)*(r + 2)/4
Suppose 3*g = -2*j - 4 + 15, 2*g = -2*j + 6. Let m(w) be the second derivative of 0*w**2 + 8*w - 3/130*w**g + 0*w**4 + 0 + 4/39*w**3 + 1/195*w**6. Factor m(l).
2*l*(l - 2)**2*(l + 1)/13
Let x(s) be the first derivative of -32*s**5/15 - 145*s**4/3 - 676*s**3/3 + 2720*s**2/3 - 2800*s/3 - 7785. Suppose x(f) = 0. What is f?
-10, 7/8, 1
Factor -52*x**2 + 0 + 112/3*x**4 + 0*x - 514/3*x**3.
2*x**2*(7*x + 2)*(8*x - 39)/3
Let v = -343 - -345. Factor 27*c**3 + 336*c + 88*c**2 + 196 + 4*c**4 - 77*c**3 + v*c**3.
4*(c - 7)**2*(c + 1)**2
Suppose -680 = -102*b - 238*b. Suppose -16/7*i + 64/7 + 1/7*i**b = 0. What is i?
8
Let v(x) be the second derivative of -2*x**7/35 + 22*x**6/75 + 27*x**5/25 - 71*x