e the first derivative of -8/11*h**2 + 175 + 2/33*h**3 + 0*h. Factor k(l).
2*l*(l - 8)/11
Factor 2/9*z**3 - 22/9*z**2 + 64/9*z - 56/9.
2*(z - 7)*(z - 2)**2/9
Let f(w) be the first derivative of -2*w**3 - 1768*w**2 + 2360*w - 761. Factor f(p).
-2*(p + 590)*(3*p - 2)
Let r(w) be the third derivative of -w**5/60 + 14*w**4/9 + 38*w**3/9 - 403*w**2. Factor r(o).
-(o - 38)*(3*o + 2)/3
Let k = -1075/63 + 6341/315. Determine h, given that 46/15*h - k*h**3 - 4/15*h**2 + 4/15 = 0.
-1, -2/23, 1
Let l = -362008 - -362011. Determine s, given that -2/19 + 16/19*s**l - 12/19*s**2 - 16/19*s + 14/19*s**4 = 0.
-1, -1/7, 1
Let -1/3*s**2 - 141*s + 0 = 0. What is s?
-423, 0
Let m = -595119/5 + 120245. Let v = 1222 - m. Factor 0 - v*i - 2/5*i**3 + 6/5*i**2.
-2*i*(i - 2)*(i - 1)/5
Let j(u) = -28*u**2 - 491*u + 164. Let m(y) = 28*y**2 + 490*y - 168. Let l(i) = -6*j(i) - 5*m(i). Find x such that l(x) = 0.
-18, 2/7
Let x = 4809 + -264493/55. Let v(m) be the first derivative of 2/33*m**3 + 0*m - 21 - 1/11*m**4 + x*m**5 + 0*m**2. Solve v(c) = 0 for c.
0, 1
Let t(o) be the third derivative of 0*o**4 + 1/840*o**8 + 0*o**3 + 0*o + 0*o**5 + 1/300*o**6 + 13*o**2 + 0 + 2/525*o**7. Factor t(r).
2*r**3*(r + 1)**2/5
Suppose 6/5*t + 247/5 - 1/5*t**2 = 0. What is t?
-13, 19
Let v(i) be the third derivative of -4/165*i**7 - 8/11*i**3 - 5/1848*i**8 + 13/33*i**4 - 29*i**2 + 0 - 1/20*i**6 - 2*i + 19/165*i**5. What is k in v(k) = 0?
-3, -2, 2/5, 1
Let f(y) be the third derivative of -1/112*y**8 - 13/40*y**6 - 3/5*y**5 - 1/2*y**4 + 0*y**3 + 0*y + 3 - 2*y**2 - 3/35*y**7. Factor f(h).
-3*h*(h + 1)**2*(h + 2)**2
Let v(l) be the first derivative of -5*l**4 - 716*l**3/3 - 1478*l**2 + 620*l + 5175. Factor v(n).
-4*(n + 5)*(n + 31)*(5*n - 1)
Let p be (-79)/(1738/(-1705)) - 49. Factor 1/2*j**2 + p - 29*j.
(j - 57)*(j - 1)/2
Let i be ((-805)/(-230))/(-1 + 8). Let n(t) be the first derivative of 5/4*t**2 - i*t**3 + 2 - t. Solve n(m) = 0 for m.
2/3, 1
Let f(o) be the third derivative of -o**6/120 - 7*o**5/20 + 514*o**2. Suppose f(i) = 0. What is i?
-21, 0
Let x(w) be the first derivative of 29 + 0*w - 1/3*w**6 - 2*w**2 + 3/2*w**4 - 2/3*w**3 + 2/5*w**5. Determine f, given that x(f) = 0.
-1, 0, 1, 2
Let i = 197 + -195. Let x(f) = 8*f**2 - 17*f + 21. Let r(d) = 2*d**2 + d + 1. Let u(s) = i*x(s) - 6*r(s). Let u(a) = 0. What is a?
1, 9
Let y = 226496 - 679468/3. Solve 64*x + y*x**2 + 64/3 - 10/3*x**5 - 28*x**4 - 182/3*x**3 = 0 for x.
-4, -1, -2/5, 1
Let s(x) be the first derivative of -3/10*x**5 + 2/3*x**4 + 4/3*x**3 + 10 + 0*x**2 - 7*x. Let r(b) be the first derivative of s(b). Solve r(a) = 0 for a.
-2/3, 0, 2
Let t be (6/4)/((-102)/(-136)). Let w be (-7)/((-245)/(-56))*t + 6. Find u, given that w*u - 4/5 + 8/5*u**2 = 0.
-2, 1/4
Let h = 73 - 70. Let v be ((-3)/(-6))/((h/66)/1). Solve 16*k - 35*k**3 + 3*k**4 + 2*k**4 + v*k**2 + 119*k - 270 + 34*k**2 = 0.
-2, 3
Let i(z) be the third derivative of 2*z**7/315 - 11*z**6/30 - 7*z**5/3 - 107*z**4/18 - 8*z**3 + 33*z**2 + 4. Factor i(w).
4*(w - 36)*(w + 1)**3/3
Let c(g) be the second derivative of -1/6*g**3 + 0 + 0*g**2 - 1/6*g**4 - 79*g - 1/20*g**5. Factor c(q).
-q*(q + 1)**2
Let x = -116 - -119. Let b(c) be the second derivative of 0*c**2 - 1/21*c**7 + 0*c**x - 3/10*c**5 + 3*c + 0 + 1/3*c**6 - 3/2*c**4. Find w, given that b(w) = 0.
-1, 0, 3
Suppose 68*a + 22*a - 242 = -31*a. Determine z, given that 34/3*z - 3*z**a + 8/3 = 0.
-2/9, 4
Factor 1/2*i - 481 - 1/2*i**3 + 481*i**2.
-(i - 962)*(i - 1)*(i + 1)/2
Let t(i) be the third derivative of i**7/350 + i**6/8 - 27*i**5/100 - 5*i**4/8 + 13*i**3/5 - 2*i**2 - 767*i. Solve t(h) = 0.
-26, -1, 1
Suppose -4*m + 26 = -2*z, 4*m + 3*z - 44 + 53 = 0. Let u(d) be the third derivative of 0*d**m - 2/9*d**5 + 1/72*d**6 + 0*d**4 + 19*d**2 + 0*d + 0. Factor u(s).
5*s**2*(s - 8)/3
Let q(s) be the third derivative of -s**7/735 + 3*s**5/70 + 2*s**2 + 294. Determine p so that q(p) = 0.
-3, 0, 3
Let s be 205/(-82)*39/(-6). Let 15/4*w**5 + 95/4*w**3 - s*w**4 + 5/2*w + 0 - 55/4*w**2 = 0. What is w?
0, 1/3, 1, 2
Let s(b) be the second derivative of -7*b**6/150 - b**5/10 + 7*b**4/15 + 4*b**3/3 + 1487*b. What is c in s(c) = 0?
-2, -10/7, 0, 2
Let v(g) be the second derivative of g**5/10 + 33*g**4/2 + 380*g**3/3 + 34*g - 15. Factor v(w).
2*w*(w + 4)*(w + 95)
Suppose -1244*u = 767 - 4551 - 2436. Let f**3 + 0*f**2 + 0*f - 1/2*f**u - 1/2*f**4 + 0 = 0. Calculate f.
-2, 0, 1
Let c = -294 + 790. Factor 447*p**2 - 180*p**2 + 72 + 285*p**2 + c*p - 98*p**3 + 274*p**2.
-2*(p - 9)*(7*p + 2)**2
Suppose 2*h + 4*i + 386 = 368, -24 = 4*i. Factor 3/5*v**2 - 9/10*v + 0 - 1/10*v**h.
-v*(v - 3)**2/10
Let m be 42/8 - 6*(138/(-12) - -12). Let g(d) be the first derivative of -30 + m*d**4 + 45/2*d**2 - 3/20*d**5 - 23/2*d**3 - 75/4*d. Factor g(y).
-3*(y - 5)**2*(y - 1)**2/4
Let k(x) be the third derivative of -x**5/15 - 178*x**4/3 - 63368*x**3/3 - x**2 - 688*x. Determine g so that k(g) = 0.
-178
Let y(f) be the third derivative of f**8/2352 - 3*f**7/490 - f**6/280 + 5*f**5/84 + 3*f**4/28 + 2*f**2 - 18. Solve y(w) = 0.
-1, 0, 2, 9
Let u be (-2 - -9) + -2 - (576 - 4). Let l = u + 5673/10. Factor 2/5 + 4/5*n + l*n**2.
(n + 2)*(3*n + 2)/10
Let l(f) be the third derivative of f**10/226800 + f**9/15120 + f**8/3360 - 71*f**5/30 - 2*f**2 - 23*f. Let w(q) be the third derivative of l(q). Factor w(v).
2*v**2*(v + 3)**2/3
Let r(n) be the first derivative of -n**5/12 + 5*n**4/6 - 5*n**3/2 - 85*n**2 - 128. Let t(x) be the second derivative of r(x). Solve t(f) = 0 for f.
1, 3
Let q be 110/684 + 234/(-2223). Let z(n) be the first derivative of -4/9*n - 2/9*n**3 - 15 + 2/45*n**5 + q*n**4 - 5/9*n**2. Determine x so that z(x) = 0.
-1, 2
Let -2012/13*n**3 + 0*n + 0 + 506018/13*n**2 + 2/13*n**4 = 0. What is n?
0, 503
Let b(h) be the third derivative of h**5/120 + 47*h**4/2 + 26508*h**3 + 2*h**2 + 842*h. Solve b(q) = 0 for q.
-564
Let o(h) = -35*h - 24. Let r be o(16). Let q = r + 1051. Factor -27*g**2 + 4 + 21 - 80*g**3 + q*g**2 - 205*g.
-5*(g - 5)*(4*g - 1)**2
Let x(q) be the third derivative of -19*q**2 + 0*q**3 - 2*q - 1/150*q**7 - 13/60*q**5 + 0 + 29/300*q**6 + 7/60*q**4. Factor x(p).
-p*(p - 7)*(p - 1)*(7*p - 2)/5
Let f be (-45)/(-135)*(11 - -1). Suppose 2*v = -4*q + 6, -26 = 4*q - f*v - 50. Solve -3/2*l**q + 3/2*l**2 + 0 + 0*l + 3/2*l**5 - 3/2*l**4 = 0.
-1, 0, 1
Suppose -18*u + 577 + 233 = 0. Let g(k) = -k**2 - 7*k - 6. Let q be g(-5). Solve -u*v**3 + 2*v**5 + 0*v**q + 47*v**3 + 5*v**4 - v**4 = 0.
-1, 0
Let l = 201805 + -201803. What is n in 0 + 0*n - 4/3*n**l - 5*n**3 = 0?
-4/15, 0
Let b(t) be the first derivative of -2*t**7/147 - 8*t**6/105 - t**5/7 - 2*t**4/21 + 20*t + 115. Let f(w) be the first derivative of b(w). Factor f(g).
-4*g**2*(g + 1)**2*(g + 2)/7
Determine f, given that -2*f**5 - 37418*f + 739588*f**3 + 23*f**5 + 3448*f**4 - 33*f**5 - 1489536*f**2 + 16*f**5 + 783914*f = 0.
-432, 0, 1
Let m(v) be the second derivative of 7 - 3*v**4 - 8*v**2 + 2/15*v**6 + 1/5*v**5 + 22/3*v**3 + v. Factor m(i).
4*(i - 1)**3*(i + 4)
Let -80/9*q**2 + 3362/9 - 1517/9*q - 1/9*q**3 = 0. What is q?
-41, 2
Let n be (-38)/12 + 23 + (-780)/40. Let o(u) be the third derivative of -n*u**3 + 0*u + 1/4*u**4 - 1/15*u**5 + 0 - 9*u**2. Find l such that o(l) = 0.
1/2, 1
Let b(g) be the first derivative of -2*g**7/21 + 3*g**5/5 - 2*g**4/3 + 82*g - 144. Let w(k) be the first derivative of b(k). What is l in w(l) = 0?
-2, 0, 1
Let x be ((-5)/60)/((-23)/(920/150) - -3). Factor 1/3 - 4/9*y**3 - 2/9*y**2 + 4/9*y - x*y**4.
-(y - 1)*(y + 1)**2*(y + 3)/9
Factor 257/3*t - 85/3*t**2 - 56 - 4/3*t**3.
-(t - 1)*(t + 24)*(4*t - 7)/3
Let t(d) = d**3 + 186*d**2 + 1077*d - 14. Let j be t(-6). Suppose -3 = 5*c + 7, 2*w + 4*c = 4. Factor -2*a - w*a**2 + 7/2*a**3 + 8 - 1/2*a**j.
-(a - 4)*(a - 2)**2*(a + 1)/2
Suppose 160 = -15*d + 11*d. Let s = -35 - d. Factor -25*q**4 + 9*q**s + 15*q**4 - 4*q**5.
5*q**4*(q - 2)
Let b(j) be the third derivative of j**8/840 - j**7/210 - j**6/60 + 11*j**3/3 - 4*j**2. Let p(f) be the first derivative of b(f). Factor p(u).
2*u**2*(u - 3)*(u + 1)
Let d(k) = k**2 + 121*k + 2022. Let o be d(-101). Factor 4*x**2 - 1/2*x**5 + o*x**3 - x**4 + 0*x + 0.
-x**2*(x - 2)*(x + 2)**2/2
Let v(k) be the third derivative of 19*k**2 - 3/280*k**7 - 2*k + 1/448*k**8 + 1/80*k**6 - 3/32*k**4 + 1/8*k**3 + 1/40*