rivative of 2*p**5/85 + 11*p**4/34 + 18*p**3/17 + 25*p**2/17 + 16*p/17 - 698. Factor v(i).
2*(i + 1)**3*(i + 8)/17
Factor -26624/9 + 4/9*o**4 + 44/9*o**3 - 7936/9*o - 160/3*o**2.
4*(o - 13)*(o + 8)**3/9
Let a(y) = y**3 + 2*y**2 - 6*y - 32. Suppose 0 = 2*d - 5*u + 7*u + 20, 4*d + 72 = 4*u. Let m(f) = -f**2 - 3*f - 1. Let r(t) = d*m(t) + 2*a(t). Factor r(w).
2*(w - 1)*(w + 5)**2
Suppose -3412*l = -39907 - 52217. Determine u, given that -3/4*u**2 + 15*u - l = 0.
2, 18
Let p be 5/(-30)*-2 - 13571/(-21). Let z = -646 + p. Solve -2/7 - 2/7*w**2 - z*w = 0 for w.
-1
Let x(d) = d**2 - 17*d + 67. Let t be x(7). Let n(k) = k**3 - 8*k**2 + 7*k. Let l(u) = 2*u**3 - 8*u**2 + 6*u. Let w(a) = t*l(a) + 2*n(a). Factor w(m).
-4*m*(m - 1)**2
Let q = -534 - -626. Let s = q - 90. Find l, given that 0 - 3/4*l + 1/4*l**s = 0.
0, 3
Solve -1047/2*q + 3/2*q**3 - 1557/2 + 513/2*q**2 = 0.
-173, -1, 3
Let s(p) be the third derivative of 4/175*p**7 - 19/150*p**6 + 0*p + 8/15*p**3 - 11/20*p**4 + 0 + 7*p**2 + 26/75*p**5 - 1/840*p**8. Let s(j) = 0. Calculate j.
1, 8
Let g be 15/(-6) + (-2093)/(-26). Factor g - 17 + 69 + 17 + 3*c**2 + 42*c.
3*(c + 7)**2
Factor 105 + 3*d**3 - 35*d**4 - 1/2*d**5 + 563/2*d + 214*d**2.
-(d - 3)*(d + 1)**3*(d + 70)/2
Let v(q) be the third derivative of q**5/15 - 211*q**4/3 + 89042*q**3/3 - 8*q**2 - 21*q. Solve v(g) = 0.
211
Let h = 94677/5 + -18864. Let s = 73 - h. Factor 2/5*x**2 + s + 8/5*x.
2*(x + 2)**2/5
Let s = -51747 - -51751. Factor -20/3*g**2 - 8*g**3 - 4*g**s - 2/3*g**5 - 2*g + 0.
-2*g*(g + 1)**3*(g + 3)/3
Find r, given that r**2 + 60*r - 15*r - 13*r + 73*r + 40 - 146 = 0.
-106, 1
Let f(c) be the second derivative of -287*c - 11/7*c**2 + 0 + 1/84*c**4 - 1/2*c**3. Factor f(d).
(d - 22)*(d + 1)/7
Find d such that -2/3*d**2 + 1256*d + 0 = 0.
0, 1884
Let i(h) be the second derivative of h**7/840 + h**6/120 + 127*h**4/12 + h - 26. Let z(y) be the third derivative of i(y). Let z(w) = 0. What is w?
-2, 0
Let c = 19627/26156 - 5/13078. What is x in -1 + 1/4*x**2 + c*x = 0?
-4, 1
Suppose -2*i - 335 + 323 = -2*c, -9*c + 5*i = -38. Factor -2/9*x**c + 14/3*x - 40/9.
-2*(x - 20)*(x - 1)/9
Factor -60*r**3 - 90*r**4 - 220*r**5 + 195*r**5 + 479*r**2 - 241*r**2 - 198*r**2.
-5*r**2*(r + 2)**2*(5*r - 2)
Let x(q) = 2*q**3 - 4*q**2 + 2*q + 4. Let a = -209 - -213. Suppose 2*p + 1 = 3*p. Let l(v) = -v**3 - v - 1. Let o(k) = a*l(k) + p*x(k). Factor o(c).
-2*c*(c + 1)**2
Let p(d) be the second derivative of d**9/83160 + d**8/36960 - 17*d**4/12 + 151*d. Let k(g) be the third derivative of p(g). Factor k(h).
2*h**3*(h + 1)/11
Let t(c) be the third derivative of 0 - 6*c**2 + 13/6*c**3 + 7/12*c**4 - 13*c + 1/60*c**5. Find y such that t(y) = 0.
-13, -1
Let b(k) be the first derivative of k**4/12 + 26*k**3/9 - 128*k**2/3 + 544*k/3 - 725. Factor b(w).
(w - 4)**2*(w + 34)/3
Let f(y) = y**2 + 13*y + 1. Let g(u) = 4*u**3 - 97*u**2 - 6385*u - 60405. Let k(p) = -11*f(p) + g(p). Let k(z) = 0. Calculate z.
-16, 59
Let v(m) = 2*m - 69. Let j(w) = -5*w + 131. Let y(i) = 3*j(i) + 5*v(i). Let z be y(9). Factor 0*c + 1/3*c**4 + 1/3*c**2 - 2/3*c**z + 0.
c**2*(c - 1)**2/3
Suppose -218*c = -223*c + 3*k - 23, 5*k - 45 = 5*c. Determine m so that 0 - 1/3*m - 1/9*m**c = 0.
-3, 0
Let v be (9/12)/(77/2376*18). Suppose 0 = -3*q + 11 - 2. Let -v*t**3 - 6/7*t**2 + 0*t - q*t**5 + 0 + 36/7*t**4 = 0. Calculate t.
-2/7, 0, 1
Let u(h) be the third derivative of 0 + 24*h**3 + 0*h - 14*h**2 + 1/15*h**5 + 2*h**4. Factor u(l).
4*(l + 6)**2
Let i(g) be the second derivative of 23/6*g**4 + 32/3*g**3 + 1/2*g**5 - 3*g - 19 + 12*g**2. Factor i(h).
2*(h + 2)**2*(5*h + 3)
Let q be (-56)/(-6) + 2*-7 + 323 + -317. Find z, given that -q*z + 25/6*z**2 - 2/3 + 25/3*z**3 = 0.
-1/2, -2/5, 2/5
Let l be 4 + (3 + (-19)/6)*(-8304 - 82). Factor 2610*z**3 - 3065/3*z**2 - 180*z - 20/3 - l*z**4.
-5*(z - 1)**2*(29*z + 2)**2/3
Let a(l) = 3*l + 23. Let b be a(6). Suppose b - 13 = 7*s. Solve -5*p**2 - s + 2 + 3*p**2 + 4*p = 0 for p.
1
Suppose 6*c**3 + 6 - 8*c - 809*c**5 + 808*c**5 - 2*c**4 + 20*c**2 + 27*c = 0. Calculate c.
-2, -1, 3
Let h be (30 - (-1 + 7))/((-1)/3). Let k be 2/(-4) - -33*(-4)/h. Determine o so that 4/3*o - 4/3*o**3 + k - 4/3*o**2 = 0.
-1, 1
Let o(t) = t**2 - 117*t - 35582. Let x be o(-139). Suppose -3/5*y**5 - 66/5*y**x + 24/5*y**4 + 96/5*y - 39/5*y**3 + 96/5 = 0. Calculate y.
-1, 2, 4
Factor 10005*k - 605/4*k**3 + 54945/2*k**2 + 910.
-5*(k - 182)*(11*k + 2)**2/4
Let o(m) be the first derivative of 16*m**5/5 + 294*m**4 + 195*m**3 + 73*m**2/2 + 3314. Let o(y) = 0. Calculate y.
-73, -1/4, 0
Suppose 79*v = 78*v + 2. Solve 70*p**v + 3*p**4 - 31*p**2 + 9*p**3 - 33*p**2 = 0 for p.
-2, -1, 0
Let l(a) = -5*a**2 - 39*a + 288. Let q be l(6). Let d be 12/(-1)*14/q. Factor -d - 26/3*x - 64/3*x**2 - 10/3*x**5 - 44/3*x**4 - 76/3*x**3.
-2*(x + 1)**4*(5*x + 2)/3
Let b(k) be the third derivative of -k**7/1575 - 2*k**6/75 - 9*k**5/25 + 243*k**3/5 + 2*k**2 - 3*k - 36. Determine l, given that b(l) = 0.
-9, 3
Let q(r) be the second derivative of 125/6*r**3 + 2*r + 1/6*r**6 - 5/4*r**4 - 9/4*r**5 + 45*r**2 + 61. Find d such that q(d) = 0.
-1, 2, 9
Factor 0*o + 11025/4*o**2 - 105/2*o**3 + 1/4*o**4 + 0.
o**2*(o - 105)**2/4
Factor 3199/4*r - 1/4*r**4 - 1225/2 - 813/4*r**2 + 65/4*r**3.
-(r - 50)*(r - 7)**2*(r - 1)/4
Suppose -k = -3*c - 23, -2*k = 3*c - 0*k + 17. Let f(b) = -b**2 - 7*b + 2. Let g be f(c). Factor y**g - 1 + 2 - y - 8 + 1.
(y - 3)*(y + 2)
What is z in -1304*z + 654*z + 14*z**5 - 130*z**4 + 650*z - 32*z**2 + 148*z**3 = 0?
0, 2/7, 1, 8
Let c(z) be the second derivative of -2/55*z**5 + 1/66*z**4 - 3 + 2/11*z**3 + 0*z**2 + 1/165*z**6 - 10*z. Factor c(h).
2*h*(h - 3)*(h - 2)*(h + 1)/11
Suppose 6*l = -l - 7*l. Suppose l*o + 5*o = 20. What is x in 4*x**5 + 13*x - 4*x**o - 4*x**4 - 11*x - 6*x + 8*x**2 = 0?
-1, 0, 1
Let w(l) be the second derivative of l**7/14 + 43*l**6/10 + 261*l**5/4 - 707*l**4/4 - 1276*l**3 - 2178*l**2 - 204*l. Suppose w(b) = 0. Calculate b.
-22, -1, 3
Let p(z) = 4*z**4 - 12*z**2 + 4*z - 4. Let k(i) = i + 1. Suppose -v - 7 = 3*d, 0 = -2*v - 2*d + 4*d + 2. Let h(s) = v*p(s) - 4*k(s). Factor h(g).
-4*g*(g - 1)**2*(g + 2)
Let s be 3/(-20)*(9 + 2775/135). Let a = s + 29/6. Find n, given that 0*n**2 + 0*n + 8/5*n**4 + a*n**5 + 0 + 8/5*n**3 = 0.
-2, 0
Suppose 11*n - 162 + 140 = 0. Let h(t) be the second derivative of -1/50*t**5 - 9*t + 0 + 1/150*t**6 + 0*t**4 + 1/15*t**3 - 1/10*t**n. Factor h(b).
(b - 1)**3*(b + 1)/5
Factor -5*c**3 - 4840*c - 41*c**2 - 26620 + 391*c**2 - 297*c**2 - 328*c**2.
-5*(c + 11)*(c + 22)**2
Let w be (-72)/48*3/((-900)/16). Let c(d) be the first derivative of -27 - 3/10*d**4 + 6/5*d**3 - w*d**5 + 0*d - d**2. Let c(h) = 0. What is h?
-5, 0, 1
Let h be -4 + -1 + 3 - -1. Let n be 4/4*-8*h/2. Suppose 0*j**3 + 4*j - j**3 - 5*j**2 - 2*j + n*j**2 = 0. Calculate j.
-2, 0, 1
Let v(d) be the second derivative of -3200000*d**2 + 800000/3*d**3 + 400*d**5 - 40000/3*d**4 - 20/3*d**6 + 0 + 1/21*d**7 - 31*d. Factor v(b).
2*(b - 20)**5
Let u = 414 - 409. Suppose 5956 - 4537 + 700*d + u*d**2 + 13517 + 9564 = 0. What is d?
-70
Let s = 39479/7 + -5636. Suppose 3/7*g**3 + 3 + 45/7*g + s*g**2 = 0. Calculate g.
-7, -1
Let a be (749/105 - 7)*(-1 + 3925). Let k = a - 522. Factor -k*r**2 + 0*r**3 + 2/5*r**4 + 0 + 4/5*r.
2*r*(r - 1)**2*(r + 2)/5
Let b(d) = 258*d + 125. Let v be b(6). Suppose 2*i**3 + 9624 - 363 + 63*i**2 + v*i - 350*i - i**3 = 0. Calculate i.
-21
Let c(f) = -7*f**3 - 53*f**2 - 837*f + 900. Suppose 10 = -2*g + 4*d, d + 6 = 4*d. Let s(r) = -2*r**3 + 2*r**2 + r. Let a(j) = g*c(j) + 3*s(j). Factor a(i).
(i - 1)*(i + 30)**2
Let n be (-52)/598 - (-4)/(30360/3351). Let a = n + 8/55. Suppose 3/4*x - 1/4*x**2 - a = 0. Calculate x.
1, 2
Let q(h) be the third derivative of 2*h**7/105 - 2*h**6/15 - 9*h**5/5 - 19*h**4/3 - 32*h**3/3 - 1617*h**2. Let q(d) = 0. What is d?
-2, -1, 8
Factor 8 + 4/3*n**2 - 28/3*n.
4*(n - 6)*(n - 1)/3
Let t be 17199/1560 + 6/(-15) + (-3)/(-8). Let k(y) be the first derivative of 0*y**2 + 12/25*y**5 + t + 0*y - 6/5*y**4 + 16/15*y**3 - 1/15*y**6. Factor k(o).
-2*o**2*(o - 2)**3/5
Let f be (-138)/(-5) + (138/(-115))/(-3). Let s(j) be the first derivative of -f + 1/26*j**4 + 2/13*j**3 - 8/13*j + 0*j**2. Factor s(l).
2*(l - 1)*(l + 2)**2/13
Let s(x) be the second derivative of -5*x**4/12 + 7