for r.
0
Let o(i) be the third derivative of 0*i**3 - 1/40*i**6 + 1/112*i**8 + 0*i**4 + 1/70*i**7 + 0 + 0*i - 1/20*i**5 + 13*i**2. Factor o(x).
3*x**2*(x - 1)*(x + 1)**2
Let v(u) be the first derivative of u**7/210 - 2*u**6/45 - u**5/30 + 2*u**4/3 + 8*u**3 + 15. Let b(t) be the third derivative of v(t). Factor b(h).
4*(h - 4)*(h - 1)*(h + 1)
Let g = -189 - -194. Let v(w) be the third derivative of -3*w**2 - 1/12*w**4 + 0 + 0*w - 1/20*w**g + 0*w**3 - 1/120*w**6. Solve v(t) = 0 for t.
-2, -1, 0
Determine w so that 1/2*w**2 + 3/2*w + 0 = 0.
-3, 0
Let n(c) be the third derivative of -c**8/1680 - c**7/315 - c**6/180 + c**4/24 + 2*c**2. Let a(t) be the second derivative of n(t). Find l, given that a(l) = 0.
-1, 0
Let p(u) = -u**3 - 7*u**2 - 8*u - 9. Let i be p(-6). Factor -5*v**i + 4*v**3 - v**4 - v**2 - 2*v**3 - v**2.
-v**2*(v + 1)*(v + 2)
Let r(o) = 60*o**2 + 205*o + 145. Let a(k) = 5*k**2 + 17*k + 12. Let m = 29 + -54. Let h(l) = m*a(l) + 2*r(l). Solve h(s) = 0.
-2, -1
Let y(c) be the second derivative of -2*c**6/15 + 9*c**5/20 + 13*c**4/6 + 3*c**3/2 - 2*c**2 - 383*c. Determine p, given that y(p) = 0.
-1, 1/4, 4
Let k be ((-6)/(-3))/(2*(-1)/(-4)). Factor 24*i - 4 - 6*i**4 - 63*i**2 + 40*i**3 - 6*i**k + 15*i**2.
-4*(i - 1)**3*(3*i - 1)
Let q(g) be the first derivative of -g**3/3 - 13*g**2/2 - 12*g + 18. Factor q(w).
-(w + 1)*(w + 12)
Let p(y) = -y**3 + 2*y**2 + 2*y + 1. Let b be p(-2). Suppose -k = -4*u - u - 28, 16 = 2*k - 2*u. Factor 19*m**3 - 10*m**3 - b*m**k + 4*m**2.
-4*m**2*(m - 1)
Find l such that 169431*l**3 - 169397*l**3 + 2*l**5 - 19*l**2 - l**2 - 16*l**4 = 0.
0, 1, 2, 5
Let a = -3682 - -239351/65. Let c = a - -2/195. Determine v so that 0 + 3*v + c*v**3 + 2*v**2 = 0.
-3, 0
Suppose -7/6 + 7/6*m**2 - 1/6*m + 1/6*m**3 = 0. Calculate m.
-7, -1, 1
Let j(h) = -h**2 + 4*h + 1. Let l be j(3). Factor -2*m**2 + 5 - 4 + 5 - l*m + 0*m**2.
-2*(m - 1)*(m + 3)
Suppose -4 = -3*z + z. Factor 3*s + z*s**2 - 5*s - 4*s**3 + 0*s**2 + 3*s**2 + s**4.
s*(s - 2)*(s - 1)**2
Let v be ((-2)/8)/((-51)/136). Factor 1/3*f**3 + 0 + 1/3*f**5 + 0*f - v*f**4 + 0*f**2.
f**3*(f - 1)**2/3
Let x be (152/24 - -3) + -4. Let j(g) be the first derivative of -2*g - x*g**3 - 7/4*g**4 - 11/2*g**2 - 4. Let j(b) = 0. Calculate b.
-1, -2/7
Let s(q) be the third derivative of -2/3*q**5 - 3/2*q**4 + 5/84*q**8 + 0*q + 8*q**2 + 8/35*q**7 + 0 - 4/3*q**3 + 2/15*q**6. Factor s(t).
4*(t - 1)*(t + 1)**3*(5*t + 2)
Let t(s) be the third derivative of s**6/60 + 17*s**5/10 - 9*s**4/2 - 104*s**3/3 - 755*s**2. What is a in t(a) = 0?
-52, -1, 2
Let u = -4 + 6. Suppose 20*x**2 - u*x - 4*x + 2*x = 0. Calculate x.
0, 1/5
Let m(g) be the first derivative of 15/14*g**2 + 2 + 12/7*g + 1/7*g**3. Suppose m(v) = 0. What is v?
-4, -1
Factor -5/8*w**2 + 0*w + 0 + 1/2*w**3 + 1/8*w**4.
w**2*(w - 1)*(w + 5)/8
Let p(f) be the third derivative of f**8/10080 + f**7/441 - f**6/210 + 31*f**5/60 + f**2. Let n(q) be the third derivative of p(q). Solve n(k) = 0.
-6, 2/7
Let l(u) = -16*u**2 - 8*u + 12. Let n = -31 + 17. Let t = n + 13. Let z(h) = h**2 - 1. Let k(g) = t*l(g) - 12*z(g). Determine m, given that k(m) = 0.
-2, 0
Let x be (-16)/6*57/(-190). Let d(z) be the first derivative of 0*z + 0*z**3 + x*z**5 + 1/6*z**6 + 1 + z**4 + 0*z**2. Factor d(y).
y**3*(y + 2)**2
Factor 14*y**2 + 147*y + 3*y**2 + 81*y - 256 - 117*y**2 + 92*y.
-4*(5*y - 8)**2
Let j(x) = -25*x**3 + 11*x**2 + 36*x + 32. Let q(l) = 31*l**3 - 11*l**2 - 35*l - 33. Let y(s) = -5*j(s) - 4*q(s). Factor y(w).
(w - 14)*(w + 1)*(w + 2)
Let 124*i**2 - 221124 + 221148 + 108*i**2 - 628*i + 152*i = 0. Calculate i.
3/58, 2
Factor -435*s - 450 + 12 + 11*s**2 + 7*s**2 + s**2 - 16*s**2.
3*(s - 146)*(s + 1)
Let n(u) be the third derivative of -u**8/1176 + u**6/420 + 65*u**2. Factor n(q).
-2*q**3*(q - 1)*(q + 1)/7
Let v be (-4)/14 - 50/(-28). Let z = -17/300 - -23/75. Factor -v*j + z*j**2 + 9/4.
(j - 3)**2/4
Let y(z) = -20*z**3 - 45*z**2 - 24*z - 3. Let i(n) = -18*n**3 - 45*n**2 - 24*n. Let h(j) = 4*i(j) - 3*y(j). Let h(p) = 0. Calculate p.
-3, -1, 1/4
Let r(t) be the first derivative of t**6/72 - 2*t**5/3 + 40*t**4/3 - 14*t**3/3 + 13. Let w(y) be the third derivative of r(y). Let w(z) = 0. Calculate z.
8
Let l(b) = 2*b - 3. Let n be l(3). Suppose -4*t = 2*f - 74, 2*t + 128 = n*f + f. Find y, given that -1 + 0 - f*y + 20*y**2 + 7*y**2 + 7 = 0.
2/9, 1
Let y(m) be the first derivative of 0*m - 1/9*m**4 - 1/27*m**6 + 2/15*m**5 + 0*m**2 - 16 + 0*m**3. Suppose y(u) = 0. What is u?
0, 1, 2
Let n(y) be the first derivative of y**7/280 - 3*y**6/40 + 3*y**5/5 - 2*y**4 - 3*y**3 - 28. Let m(v) be the third derivative of n(v). Factor m(r).
3*(r - 4)**2*(r - 1)
Let v = 79/13200 + -1/550. Let o(x) be the third derivative of -v*x**5 + 1/96*x**4 + 0*x + 0 - 3*x**2 + 1/12*x**3. Suppose o(j) = 0. Calculate j.
-1, 2
Let w(d) be the second derivative of 3/4*d**3 - 3/160*d**5 - 1/4*d**4 + 10*d + 0 + 0*d**2 + 1/80*d**6. Factor w(s).
3*s*(s - 2)**2*(s + 3)/8
Let y(c) be the second derivative of 3*c**5/40 + c**4/8 - c**3/4 - 3*c**2/4 - 48*c. Find b such that y(b) = 0.
-1, 1
Let b = 2289657/11 - 208491. Let o = -340 - b. Solve o*k + 0 - 2/11*k**3 - 2/11*k**2 = 0.
-2, 0, 1
Let c be (6/4)/(2 + -1)*2. Let f(u) be the second derivative of 1/15*u**5 + 1/45*u**6 - 4/9*u**c + 4/3*u**2 + 2*u - 1/6*u**4 + 0. Find g, given that f(g) = 0.
-2, 1
Let r(j) be the second derivative of -j**6/720 - j**5/180 - j**4/144 + 4*j**2 - 4*j. Let a(o) be the first derivative of r(o). Factor a(g).
-g*(g + 1)**2/6
Let t(b) be the second derivative of -b**5/80 - b**4/12 + b**3/24 + b**2/2 - 2*b - 71. Factor t(w).
-(w - 1)*(w + 1)*(w + 4)/4
Let r(q) = q**3 + q. Let l(j) = -4*j - j**2 - 2*j - j + 4*j. Let z(x) = 3*l(x) + 3*r(x). Determine u, given that z(u) = 0.
-1, 0, 2
Let c(b) be the third derivative of b**6/1620 + 2*b**5/135 + 4*b**4/27 - 17*b**3/6 + 13*b**2. Let o(t) be the first derivative of c(t). Factor o(u).
2*(u + 4)**2/9
Suppose -2*y - 1 = 3*w, -30 = -5*w - 0*y + 3*y. Factor w*l**3 + 0*l**3 + 0*l**3 + l**3 + 12*l**2.
4*l**2*(l + 3)
Let v(z) be the second derivative of z**6/1260 - z**5/420 + 5*z**3/3 - 6*z. Let m(u) be the second derivative of v(u). Suppose m(i) = 0. What is i?
0, 1
Let q = -21298/9 + 238328/99. Find h, given that 0 + 8/11*h**2 + 0*h - 120/11*h**3 + q*h**4 = 0.
0, 2/15
Let d(s) be the third derivative of -s**7/560 + 9*s**6/320 - 3*s**5/16 + 11*s**4/16 - 3*s**3/2 + 30*s**2. Factor d(v).
-3*(v - 3)*(v - 2)**3/8
Let b(d) be the first derivative of -225*d**4/2 + 640*d**3 - 244*d**2 + 32*d - 57. Factor b(z).
-2*(z - 4)*(15*z - 2)**2
Let w(u) = -u**3 + 6*u**2 + 2*u + 37. Let r be w(7). Let -9 - 4*d**2 + 2*d + 0*d - r*d**3 - 5 + 18 = 0. Calculate d.
-2, -1, 1
Factor 0 + 4/7*m**3 - 4/7*m**5 + 0*m + 4/7*m**2 - 4/7*m**4.
-4*m**2*(m - 1)*(m + 1)**2/7
Let h(s) be the third derivative of s**5/450 - 139*s**4/180 - 28*s**3/9 + 3*s**2 - 39*s. Factor h(r).
2*(r - 140)*(r + 1)/15
Let b = 32 + -20. Suppose -4*z + 3*z = 4*q + 1, 3*z - b = 3*q. Solve -18*j**3 - 27*j**2 - 6*j - 5*j**z + 2*j**3 = 0 for j.
-1, -2/7, 0
Let k(f) = 2*f**2 + 8*f - 26. Let h(c) = -1. Let s(o) = -4*h(o) + 2*k(o). Solve s(r) = 0.
-6, 2
Solve -53*f**3 + 29241*f**4 + 3*f + 175*f**5 + 24*f**2 + f - 29391*f**4 = 0 for f.
-2/5, -1/7, 0, 2/5, 1
Let f = 5 - 2. Suppose -f*n + 5 = 5*o + 10, -4*o + 2*n + 18 = 0. Factor -19*u**o - 4*u**3 + 4 + 15*u**2 - 8*u**3 + 12*u.
-4*(u - 1)*(u + 1)*(3*u + 1)
Suppose -6*b + 3*b = 5*d - 222, 5*b + 148 = 4*d. Let z = d + -40. Suppose -2/5*r**4 + 0*r + 0 - 4/5*r**z - 6/5*r**3 = 0. Calculate r.
-2, -1, 0
Let g = 11339 - 11339. Factor 6/13*x**4 - 4/13*x**3 + g - 2/13*x**5 + 0*x + 0*x**2.
-2*x**3*(x - 2)*(x - 1)/13
Factor -15*w**2 + 885*w + 237 - 418 - 69 - 20*w**2.
-5*(w - 25)*(7*w - 2)
Let x(m) be the third derivative of -m**5/150 - 3*m**4/20 + 53*m**2. Factor x(w).
-2*w*(w + 9)/5
Let j(x) = x**2 + 6*x + 6. Let q be j(-5). Let o be (-27)/(-12) - q/4. Factor -3*b**o + 0*b**3 + 13 - 8*b**3 - 3*b**2 - 5 + 8*b - 2*b**4.
-2*(b - 1)*(b + 1)*(b + 2)**2
What is a in 40*a**2 + 124/3*a - 2/3*a**4 + 14 + 12*a**3 = 0?
-1, 21
Let s be (-96)/42 - -2 - 46/(-14). Let i be 1*s/9*0. Factor i + 2/7*o**3 - 4/7*o**2 + 0*o.
2*o**2*(o - 2)/7
Let b = 63 + -63. Let v be (b - 4)/80 - (-3)/12. Factor 0 - v*o**2 - 1/5*o.
-o*(o + 1)/5
Find y, given 