(h).
5*(1427*h - 2)**2
Let r(z) be the third derivative of -11/15*z**5 + 5/3*z**4 + 0*z**3 - 150*z**2 + 1/30*z**6 + 0*z + 0. Suppose r(l) = 0. Calculate l.
0, 1, 10
Let n be 10 + -13 + 17 + -10. Let y(k) be the first derivative of -9 - 1/2*k**n + 1/3*k**3 + 0*k + 1/5*k**5 + 0*k**2. Factor y(p).
p**2*(p - 1)**2
Let j(s) = s**4 + s**2 + 4*s + 2. Suppose 10*w - 29 + 9 = 0. Let p(a) = -2*a**4 - 5*a - 3. Let k = 8 + -5. Let x(m) = k*j(m) + w*p(m). Factor x(i).
-i*(i - 2)*(i + 1)**2
Let y(x) be the third derivative of -x**6/480 + 4*x**5/15 - 319*x**4/32 - 363*x**3/4 - 1537*x**2. Factor y(c).
-(c - 33)**2*(c + 2)/4
Suppose 60*o**3 - 25/3*o**5 + 0*o + 0*o**2 + 55/3*o**4 + 0 = 0. What is o?
-9/5, 0, 4
Let w(p) be the third derivative of 0*p + 1/120*p**4 + 89*p**2 - 1/75*p**5 + 0 - 1/120*p**6 + 0*p**3. What is l in w(l) = 0?
-1, 0, 1/5
Let l(u) be the first derivative of -u**5/255 + u**4/68 - u**3/51 - 33*u**2/2 - u + 16. Let k(n) be the second derivative of l(n). Factor k(v).
-2*(v - 1)*(2*v - 1)/17
Let b = -148469 - -148472. Let -29*f**2 + 0 + 1/2*f**b + 841/2*f = 0. Calculate f.
0, 29
Let i be -8 - (0 - 2) - 637812/(-882). Let r = i - 717. Factor -144/7 + 24/7*g - r*g**2.
-(g - 12)**2/7
Let o(b) be the third derivative of 11*b**8/2016 - 67*b**7/630 + b**6/30 - b**2 - 93. Factor o(l).
l**3*(l - 12)*(11*l - 2)/6
Suppose -79 + 63 = -81*n + 146. Let h(l) be the second derivative of 0 - 16*l + 8*l**n + 1/3*l**4 - 8/3*l**3. Factor h(o).
4*(o - 2)**2
Factor -12/7*c + 2/7*c**2 + 10/7.
2*(c - 5)*(c - 1)/7
Let v(q) be the third derivative of 0*q - 13/24*q**4 - 5*q**2 + 1/120*q**6 + 1/12*q**5 + 0 + 7/6*q**3. Factor v(h).
(h - 1)**2*(h + 7)
Let b be 12*((-133)/21)/(-19). Let h(a) be the first derivative of 1/14*a**b + 0*a - 3/7*a**2 + 4/21*a**3 + 15. Find q, given that h(q) = 0.
-3, 0, 1
Let t(j) be the first derivative of -j**7/5040 - j**6/720 + j**5/720 + j**4/48 + j**3/3 - 8*j**2 - 47. Let n(i) be the third derivative of t(i). Factor n(h).
-(h - 1)*(h + 1)*(h + 3)/6
Let v = 336 - 334. Solve -35*x**3 + 33*x**3 - x**v + 9 + 3*x**3 - 9*x = 0.
-3, 1, 3
Let b(s) be the second derivative of s**5/135 + 35*s**4/54 + 68*s**3/27 + 24*s**2 + 145*s. Let v(f) be the first derivative of b(f). Factor v(l).
4*(l + 1)*(l + 34)/9
Let r(c) be the first derivative of c**4/2 + 32*c**3 - 49*c**2 - 641. Factor r(g).
2*g*(g - 1)*(g + 49)
Let q(p) = 3*p**2 + 17*p - 4. Let k be q(-6). Suppose 3*c = 5*v - 32, 6*v - k*v + 4*c = 0. Factor 34*i**v - 66*i**4 + i**2 + i - i**3 + 31*i**4.
-i*(i - 1)*(i + 1)**2
Let c(x) be the second derivative of 6*x + 3/4*x**4 - 8*x**3 - 18*x**2 + 9/10*x**5 - 1/10*x**6 + 1. Solve c(s) = 0 for s.
-1, 2, 6
Let y(i) be the second derivative of -1/6*i**3 - 42*i - 1/72*i**4 + 7/12*i**2 + 0. Factor y(s).
-(s - 1)*(s + 7)/6
Let o(f) be the second derivative of 9*f**5/20 + 3*f**4/4 + f**3/2 + 8*f**2 - f - 7. Let k(g) be the first derivative of o(g). Factor k(w).
3*(3*w + 1)**2
Let j be (-735)/(-27) + (-63 - -38). Solve 58/9*c**4 - 56/9*c**2 - j*c**3 - 2/9 + 40/9*c**5 - 20/9*c = 0.
-1, -1/4, -1/5, 1
Let v = 9 - 7. Suppose -40619 = -43*r - 9745. Determine a, given that v*a**2 + 20*a - r - 10*a**2 + 710 = 0.
1/2, 2
Let l be 3/(60/16)*5255/12612. Find s such that -5/3*s**3 - 2/3*s**4 + 4/3*s + l*s**5 + 10/3*s**2 - 8/3 = 0.
-2, -1, 1, 2
Suppose -4*z - 2*n = -138, -n + 77 = 3*z - 28. Factor 12*v**2 + z*v + v**3 + 0*v**2 + 0*v**3.
v*(v + 6)**2
Let t = 178 - 173. Let h(v) = 3*v**4 + 21*v**3 - 6*v**2 - 30*v + 6. Let f(w) = -3*w**4 - 20*w**3 + 4*w**2 + 29*w - 5. Let l(i) = t*h(i) + 6*f(i). Factor l(a).
-3*a*(a - 1)*(a + 2)*(a + 4)
Let t(s) be the second derivative of -s**6/150 - 123*s**5/50 - 1281*s**4/5 - 14884*s**3/15 + 411*s. Let t(r) = 0. Calculate r.
-122, -2, 0
Let p(t) = -14 - 20*t + 51 + t**3 - 20 + 24*t**2. Let j be p(-24). Factor -3*q - 5*q**3 - q**4 + 497 - 7*q**2 - j.
-q*(q + 1)**2*(q + 3)
What is o in 26*o - 724*o**2 + 885*o**3 - 273*o**3 + 254*o - 104*o**3 - 32*o**3 - 32 = 0?
4/17, 2/7, 1
Let z be 2120/2915 - (-24)/(-33). What is p in z - 4/3*p - 1/9*p**2 = 0?
-12, 0
Let f(r) = r + 5. Let b be f(-4). Let o(i) = -i**2 - i - 1. Suppose 9*p - 10 = 4*p. Let s(a) = -254*a**2 + 66*a - 2. Let d(u) = b*s(u) + p*o(u). Factor d(j).
-4*(8*j - 1)**2
Let x(v) be the third derivative of 49*v**2 + 7/6*v**4 + 0*v**3 + 0 + 4/105*v**7 - 1/2*v**6 + 2/5*v**5 + 0*v. Factor x(b).
4*b*(b - 7)*(b - 1)*(2*b + 1)
Suppose -25*u + 23*u = -8. Let i = -765/47 + 5517/235. Solve 16/5 - 14/5*p**3 + 2/5*p**u + i*p**2 - 8*p = 0 for p.
1, 2
Let t(q) be the second derivative of -q**4/12 - 46*q**3 - 275*q**2/2 + 405*q - 2. Find m, given that t(m) = 0.
-275, -1
Let l(a) be the second derivative of a**5/100 - 11*a**4/60 + 6*a**3/5 - 18*a**2/5 + 1047*a. What is p in l(p) = 0?
2, 3, 6
Let k(y) = -10*y - 16. Let b be k(-2). Let o(j) be the first derivative of -5*j**4 - b + 0*j + 5/2*j**2 + 5*j**3. Suppose o(f) = 0. Calculate f.
-1/4, 0, 1
Suppose 0 = -2*g + p + 13, -4*g + g = -3*p - 27. Factor x**g + 2*x**3 - 9802*x**2 - 3*x**3 + x + 9801*x**2.
x*(x - 1)**2*(x + 1)
Let o be (-2)/(-2)*(-20 + -5 + 29). Let f(r) be the third derivative of 2/45*r**5 + 0 + 1/180*r**6 + 20*r**2 - 4/9*r**3 - 1/36*r**o + 0*r. Factor f(q).
2*(q - 1)*(q + 1)*(q + 4)/3
Let x(g) = -g**5 - g**2 + g. Let w(k) = 35*k**5 - 25*k**4 - 20*k**3 + 130*k**2 - 30*k. Let d = 250 + -280. Let r(p) = d*x(p) - w(p). Solve r(v) = 0 for v.
-2, 0, 2, 5
Find l, given that -27*l**2 - 406*l + 204*l + 213*l = 0.
0, 11/27
Let j(o) be the third derivative of 0*o**3 - 11/840*o**7 - 1/48*o**6 + 0*o + 1/30*o**5 + 0*o**4 - 1/672*o**8 - 67 + o**2. Find k, given that j(k) = 0.
-4, -2, 0, 1/2
Let v(q) = 5*q**3 - 144*q**2 - 4*q - 723. Let c be v(29). Factor 72/11 + 26/11*m**c + 96/11*m + 2/11*m**3.
2*(m + 1)*(m + 6)**2/11
Let c(q) be the first derivative of 69*q**2/2 - 274*q - 127. Let i be c(4). Factor -2/9*v**i - 10/9*v - 8/9.
-2*(v + 1)*(v + 4)/9
Factor 3/4*o**4 + 63/4 - 39*o - 9*o**3 + 63/2*o**2.
3*(o - 7)*(o - 3)*(o - 1)**2/4
Suppose v = 5*f + 29, -4*f + 20 = 3*v + 28. Let l(b) be the first derivative of 0*b + 12 + 3/20*b**v + 3/5*b**3 + 3/5*b**2. Suppose l(d) = 0. What is d?
-2, -1, 0
Let u(j) = 8*j**4 + 2*j**3 - 4*j**2 - 44*j + 24. Let c(p) = -7*p**4 - 3*p**3 + 3*p**2 + 43*p - 24. Let n(f) = -7*c(f) - 6*u(f). Determine v so that n(v) = 0.
-8, -3, 1
Let m(c) be the second derivative of c**4/84 + c**3/2 + 34*c**2/7 - 4481*c. Solve m(f) = 0 for f.
-17, -4
Let y(s) be the second derivative of s**6/90 - s**5/9 + 4*s**4/9 - 8*s**3/9 + 18*s**2 - 7*s. Let h(v) be the first derivative of y(v). Solve h(p) = 0 for p.
1, 2
Let g(t) = -t**3 - 11*t**2 + 4*t - 93. Let j be g(-12). Factor 50*o + j*o**2 - 464 + 545 - 134*o.
3*(o - 27)*(o - 1)
Suppose -82 = 2*o - 2*s, 2*s - 259 + 45 = 5*o. Let c be 15/(-4) + (-40 - o). Factor c*h**2 + 0 + 1/2*h.
h*(h + 2)/4
Suppose -16 = -81*w + 77*w. Suppose 5*k = -4*m + 38, -5*m + 25 = -0*k + w*k. Factor -10*o + k*o - 12*o + 9*o**2 + 3*o**3.
3*o*(o - 1)*(o + 4)
Let p(k) = 52*k**2 - 10. Let h be p(2). Let f = 202 - h. Suppose 0 + 6/5*s - 12/5*s**3 + 0*s**f + 0*s**2 + 6/5*s**5 = 0. What is s?
-1, 0, 1
Let w(j) be the second derivative of -j**8/26880 + 11*j**4/6 - j**2/2 - 61*j. Let g(v) be the third derivative of w(v). Factor g(d).
-d**3/4
Let s = 892 + -887. Determine j, given that -148*j**2 + 47*j**3 - 8*j**4 + 43*j + 38*j**3 + 23*j**3 + s*j = 0.
0, 1/2, 1, 12
Let x(d) be the second derivative of -d**4/18 + 29*d**3/9 - 154*d**2/3 + 753*d + 3. Determine y so that x(y) = 0.
7, 22
Factor 0 + 8100*w**2 + 4/3*w**4 - 204*w**3 - 22500*w.
4*w*(w - 75)**2*(w - 3)/3
Let x(o) = -3*o**2 + 44*o + 56. Let y(n) = -5*n**2 + 88*n + 138. Let w(f) = -7*x(f) + 4*y(f). Factor w(z).
(z + 4)*(z + 40)
Let p(y) be the third derivative of y**7/630 + 12*y**6/5 + 7776*y**5/5 + 559872*y**4 + 120932352*y**3 - 2*y**2 - 160*y. Factor p(m).
(m + 216)**4/3
Let l = -373 - -4107/11. Let w be 2 + 67/(-22) - ((-44)/(-1056) - (-2943)/(-648)). Determine g, given that -106/11*g**2 - l + 72/11*g**3 + w*g = 0.
2/9, 1/4, 1
Let j(f) = 4*f**3 + 128*f**2 - 368*f - 468. Let y(x) = x**3 + 4*x**2 + x + 2. Let p(o) = -j(o) + 6*y(o). Let p(h) = 0. Calculate h.
-1, 5, 48
Let b = 100871/42 - 33591/14. Solve -26/3*t**3 + b*t**4 + 20/3 - 19*t**2 + 56/3*t = 0.
-2, -2/7, 1, 5
Let m(b) be the