 first derivative of -2/25*r**5 + 4/5*r**2 + 24 - 8*r + 2*r**3 + 1/5*r**4. Solve i(p) = 0.
-2, 1, 5
Let v(w) be the second derivative of -w**6/75 - 17*w**5/50 - 67*w**4/30 - 29*w**3/5 - 36*w**2/5 + 700*w - 1. Solve v(n) = 0.
-12, -3, -1
Let p be (-12)/((-36)/(-15)) - -30. Suppose -10*l = -7*l - 177. Factor -5*d**3 - 3*d**3 + l*d - 64*d - 12*d**3 - p*d**2.
-5*d*(d + 1)*(4*d + 1)
Let m(i) = -i**3 - 8*i**2 - 6*i + 7. Let v be m(-7). Suppose -u - 2 + 6 = v. Factor 3*d**4 - 28*d**3 - 59*d - 12*d**2 + 87*d - 8 + 17*d**u.
4*(d - 1)**2*(d + 1)*(5*d - 2)
Let b = 625724 + -625722. Let f = 27/2 - 13. Suppose 0 + 1/3*s**b - f*s + 1/6*s**3 = 0. Calculate s.
-3, 0, 1
Suppose 37 = -6*v + 7. Let x(u) = u**3 + 2*u**2 - 35*u - 30. Let j(m) = -5*m**2 + 70*m + 60. Let t(i) = v*x(i) - 2*j(i). Suppose t(f) = 0. What is f?
-2, -1, 3
Let h(w) be the first derivative of 74/15*w**3 - 13 + 72/5*w - w**4 + 2/25*w**5 - 12*w**2. Solve h(r) = 0.
2, 3
Suppose 4*l - 3*m - 155 + 138 = 0, 4*l - 19 = m. Solve 2 - 1/3*v**4 - 17/3*v - v**3 + l*v**2 = 0 for v.
-6, 1
Let g = -1265519/1730 + 939/346. Let d = g + 729. Suppose d*m**2 + 6/5 - 7/5*m = 0. What is m?
1, 6
Determine o, given that 1611591*o - 1610593*o + o**2 - 3*o**2 = 0.
0, 499
Let p(r) be the first derivative of -r**5/90 - r**4/3 - 20*r**3/9 - 8*r**2 + r - 21. Let z(t) be the second derivative of p(t). Factor z(u).
-2*(u + 2)*(u + 10)/3
Let w(n) = -100*n**2 + 1309*n - 434281. Let b(u) = 11*u**2 + u. Let m(z) = -36*b(z) - 4*w(z). Factor m(y).
4*(y - 659)**2
Let s(b) = -1062*b**3 + 38272*b**2 - 6628*b + 296. Let o(g) = -2*g**3 + 2*g + 4. Let t(x) = 4*o(x) - 2*s(x). Factor t(v).
4*(v - 36)*(23*v - 2)**2
Let n(s) = -155*s**3 - 3805*s**2 - 7460*s - 3540. Let x(h) = 7*h**3 + 173*h**2 + 339*h + 161. Let d(r) = 2*n(r) + 45*x(r). What is z in d(z) = 0?
-33, -1
Let p(n) be the second derivative of 2/13*n**2 + 0 - 1/26*n**4 + 1/39*n**3 + 1/195*n**6 - 1/130*n**5 + 58*n. Determine s so that p(s) = 0.
-1, 1, 2
Let a(n) be the second derivative of -2*n**6/15 + 86*n**5/5 + 175*n**4/3 + 176*n**3/3 + 139*n + 3. Let a(l) = 0. Calculate l.
-1, 0, 88
Let k be ((-364)/39)/((-2401)/98)*119. Let -134/3*j - 2/3*j**2 + k = 0. Calculate j.
-68, 1
Let p(x) = -298*x + 70330. Let k be p(236). What is b in 0*b + 0 - k*b**3 - 7/3*b**4 + 0*b**2 = 0?
-6/7, 0
Suppose 0 = -0*x + 19*x - 133. Let -37 - 11 - 260*t**2 - 312*t - 138*t**3 - 120*t**2 - x*t**2 - 15*t**4 = 0. What is t?
-4, -1, -1/5
Let q(s) be the first derivative of -1/12*s**5 + 19 - 5/6*s**3 - 5/12*s**4 - 3*s**2 + 0*s. Let n(g) be the second derivative of q(g). Let n(z) = 0. Calculate z.
-1
Let l be -3 - -7 - -1 - 2. Suppose -207*i**3 - 20 - 3*i + 43*i + 5*i**4 - 5*i**2 - 204*i**3 + 386*i**l + 5*i**5 = 0. What is i?
-2, 1
Solve 76/17*k - 22/17*k**2 - 80/17 + 2/17*k**3 = 0 for k.
2, 4, 5
Let b be 45 + ((-5670)/150)/1. Factor -6/5 + b*j**2 + 9/5*j + 21/5*j**3.
3*(j + 1)**2*(7*j - 2)/5
Let d be ((-8)/5)/((-412)/1545). Let p(o) be the first derivative of -3/2*o**2 - 9/2*o**4 - 4*o**3 - 1/2*o**d + 0*o - 12/5*o**5 + 11. Factor p(l).
-3*l*(l + 1)**4
Suppose -2/15*f**2 - 404/15 + 206/15*f = 0. Calculate f.
2, 101
Factor 2/3*v**3 - 52 - 38/3*v + 8*v**2.
2*(v - 3)*(v + 2)*(v + 13)/3
Let h(c) = 140*c + 293. Let x be h(4). Let l = -853 + x. Solve 0*s**2 + 1/4*s**3 + l - 1/4*s = 0 for s.
-1, 0, 1
Let u(y) = -y**3 + 25*y**2 + 22*y - 57. Let o be u(24). What is h in 197*h**2 + 2757*h - 120 + 125*h**3 - 2137*h - o*h**2 = 0?
2/5, 6
Let u(n) = 140*n**3 + 2*n - 3. Let i be u(1). Suppose -b = i - 141. Factor 2167 - 2*g + 4*g**2 - 2167 - b*g.
4*g*(g - 1)
Let d(z) be the third derivative of -z**7/70 - 31*z**6/40 - 27*z**5/4 + 367*z**4/8 - 100*z**3 + 2*z**2 + 80*z. Solve d(x) = 0 for x.
-25, -8, 1
Suppose 4/3*s**2 + 4 + 2/9*s**3 - 50/9*s = 0. What is s?
-9, 1, 2
Factor 1/4*w**4 - 1352 + 10*w**3 + 767/2*w + 501/4*w**2.
(w - 2)*(w + 13)**2*(w + 16)/4
Let i be (0*15/(-825))/23. Find q, given that -21/4*q**2 - 3/4*q**5 + 21/4*q**4 + i + 9/2*q - 15/4*q**3 = 0.
-1, 0, 1, 6
Let a(u) = u**2 + 65*u - 663. Let i be (-4)/((-12)/27)*1. Let l be a(i). What is g in l*g + 9/2 - 3/2*g**2 = 0?
-1, 3
Factor 258/7*q**2 + 0 + 0*q + 15/7*q**4 + 93*q**3.
3*q**2*(q + 43)*(5*q + 2)/7
Let a be (-1648)/(-6)*51/34. Let l = a + -410. What is z in 8/9*z**3 - 2/9*z**4 + 0*z**l + 0*z + 0 = 0?
0, 4
Factor -32/5*b**3 + 0 + 26/5*b**2 + 12*b + 2/5*b**4.
2*b*(b - 15)*(b - 2)*(b + 1)/5
Let s(q) be the third derivative of -1/1260*q**7 + 0 - 1/72*q**5 - 1/180*q**6 - 1/72*q**4 + 0*q**3 + q - 6*q**2. Let s(g) = 0. Calculate g.
-2, -1, 0
Let i be -2*(-249)/(-684) - (45/(22 + -13))/(-6). Factor i*a**3 - 34/19*a**2 - 36/19*a + 0.
2*a*(a - 18)*(a + 1)/19
Let -28560*n - 14638*n**2 - n**4 - 402 - 240*n**3 - 5598 - 8161 = 0. What is n?
-119, -1
Let -1/5*u**3 + 0 + 0*u + 152/5*u**2 = 0. What is u?
0, 152
Let b(d) be the third derivative of -3/16*d**4 - 11/80*d**5 - 244*d**2 + 0*d**3 - 3/160*d**6 + 0*d + 0. Factor b(k).
-3*k*(k + 3)*(3*k + 2)/4
Find k, given that 15*k - 142*k + 336*k**2 + 1704*k**3 - 7*k**5 + 19*k**5 - 213*k + 717*k**4 + 323*k**4 = 0.
-85, -1, 0, 1/3
Solve -224/13*w**3 - 400/13*w + 22/13*w**4 + 56/13 + 42*w**2 = 0.
2/11, 1, 2, 7
Let z(r) be the first derivative of -r**7/1260 + r**6/108 - r**5/30 - 13*r**3/3 + r + 51. Let w(y) be the third derivative of z(y). Factor w(m).
-2*m*(m - 3)*(m - 2)/3
Let i be 12 + 132/(-15)*(-20 + (-6105)/(-286)). Determine w, given that -6/13*w + i*w**2 + 4/13 = 0.
1, 2
Let h(k) be the second derivative of -k**7/294 - 13*k**6/105 + 3*k**5/5 - 43*k**4/42 + 29*k**3/42 + 1928*k. Let h(n) = 0. Calculate n.
-29, 0, 1
Let z(c) be the third derivative of c**6/280 + 3*c**5/28 + 75*c**4/56 + 125*c**3/14 - 10*c**2 - 10*c - 7. Factor z(p).
3*(p + 5)**3/7
Let s = 315418/7 + -43999. Let z = -1059 + s. Suppose z - 3*h - 6/7*h**2 = 0. What is h?
-4, 1/2
Let w be 6 + -5 - (228/(-15))/(-19). Factor w*u**4 + 1/5*u**2 - 2/5*u**3 + 0 + 0*u.
u**2*(u - 1)**2/5
Factor -528*j**3 + 822*j**3 + 2515*j**3 - j**5 + 4*j**5 + 5303*j**3 - 312*j**4.
3*j**3*(j - 52)**2
Let l(u) be the third derivative of -u**6/40 + 3*u**5 + 1556*u**2. Factor l(y).
-3*y**2*(y - 60)
Let l = -728301 + 728303. Factor 3/4*o + 1/2 + 1/4*o**l.
(o + 1)*(o + 2)/4
Solve 14 - 14*c**3 + 485*c**2 - 31*c**3 + 20 + 321*c + 6*c**3 + 159*c**2 = 0 for c.
-1/3, -2/13, 17
Let d(p) be the second derivative of p**5/4 - 293*p**4/24 + 29*p**3/4 - 3466*p. Factor d(h).
h*(h - 29)*(10*h - 3)/2
Let b(p) be the second derivative of -p**4/6 + 275*p**3/3 - 816*p**2 - 4*p - 73. Factor b(o).
-2*(o - 272)*(o - 3)
Let a(u) be the first derivative of -u**6/21 - 12*u**5/35 - u**4/7 + 40*u**3/21 + 27*u**2/7 + 20*u/7 - 258. Solve a(v) = 0 for v.
-5, -1, 2
Suppose 955/4*f**2 - 485/2*f - 480 + 5/4*f**3 = 0. What is f?
-192, -1, 2
Factor 82944/5 + 1/5*c**4 + 84096/5*c + 21892/5*c**2 + 292/5*c**3.
(c + 2)**2*(c + 144)**2/5
Factor 32*o + 201/5*o**2 + 58/5*o**3 - 20 + o**4.
(o + 2)*(o + 5)**2*(5*o - 2)/5
Let f = 200 + -155. Factor -93 + f*l**3 - 91 - 30*l**2 + 5*l + 184.
5*l*(3*l - 1)**2
Let r = 7369/59433 - 5/1801. Let d(k) be the first derivative of 3/11*k**2 + 0*k - 1/22*k**4 + 10 - r*k**3. Solve d(i) = 0.
-3, 0, 1
Suppose -24*o + 15*o = -54. Let a be o/(3 - 9) + (2 - -1). Factor -4*w**3 - w**4 - 2*w**2 - w**2 + 5*w**3 - w + 4*w**a.
-w*(w - 1)**2*(w + 1)
Suppose 68*q - 38*q = -3360. Let c be (-19 + -1)*4*7/q. Suppose 5/2*w + 7/6*w**c + 1/3 + 5*w**4 + 20/3*w**2 + 25/3*w**3 = 0. What is w?
-1, -2/7
Let u = -504 - -343. Let f be 2/(-2)*(-9)/((-1242)/u). Factor -4/3*g + f + 1/6*g**2.
(g - 7)*(g - 1)/6
Let s = 2359/69 - 10139/345. Let 117/5*g**2 - 57/5*g**3 - 27/5*g - 9/5*g**4 - s = 0. Calculate g.
-8, -1/3, 1
Let x = 8359 - 8356. Let u(w) be the third derivative of -3/170*w**5 - 1/170*w**6 + 0 + 0*w**x - 40*w**2 + 0*w**4 - 1/1785*w**7 + 0*w. Factor u(o).
-2*o**2*(o + 3)**2/17
Suppose 4 = -5*p + 524. Suppose 0*y + 3*y - 308 = 4*l, 0 = -y + 2*l + p. Factor 2*m**2 + 40*m - m**2 + 0*m**2 - y - 5*m**2.
-4*(m - 5)**2
Let b(k) be the first derivative of 1/6*k**3 - 1/16*k**4 + k + 7/8*k**2 + 63. Factor b(h).
-(h - 4)*(h + 1)**2/4
Suppose -357 = -116*h - 9. Factor 9*u**h - 10*u**2 + 0 + 8/3*u - 5/3*u**4.
-u*(u - 4)*(u - 1)*(5*u - 2)/3
Let c(a) = a + 1. Let w(u) = 2*u**2 + 14*u - 18. Let o(g) = 6*c(g) - w(g). Factor o(l).
-