*(s - 2)*(s + 1)**2
Let m(i) be the second derivative of -7/36*i**4 + 2/3*i**2 - 1 - 2/3*i**3 + 20*i. Let m(r) = 0. Calculate r.
-2, 2/7
Let w(t) be the third derivative of -7/50*t**6 + 5/84*t**8 + 8/105*t**7 - 3*t + t**2 - 2/15*t**4 + 0*t**3 - 4/15*t**5 + 0. Let w(n) = 0. Calculate n.
-1, -2/5, 0, 1
Let -11/2*q**2 + 1/2*q**3 - 14 - 20*q = 0. Calculate q.
-2, -1, 14
Let n(u) = -u**2 - 15*u - 50. Let v be n(-16). Let q = v + 69. Suppose -2 - 24*g**q + 2 + 12*g**2 - 3*g**5 + 11*g**4 + 4*g**4 = 0. Calculate g.
0, 1, 2
Let o = -715 - 69. Let a = 3141/4 + o. Suppose a - 3/2*q + 1/4*q**2 = 0. Calculate q.
1, 5
Let q(c) = -97*c - 1067. Let a be q(-11). Let l(b) be the second derivative of 0 - 4*b - 5/12*b**4 + 5/3*b**3 + a*b**2. Determine p so that l(p) = 0.
0, 2
Let f be ((-15)/14)/(21 - (-2703)/(-119)). Factor -7/2*t - f*t**2 + 3/2.
-(t + 6)*(5*t - 2)/8
Solve -7282092/5 + 9348/5*k - 3/5*k**2 = 0 for k.
1558
Let u(b) = -b**5 + b**4 - b**2 - b - 1. Let d(a) = 4*a**5 + 2*a**4 - 11*a**3 + 10*a**2 + 5*a + 5. Let q(g) = -3*d(g) - 15*u(g). Solve q(w) = 0 for w.
0, 1, 5
Let z(c) be the second derivative of 7*c**4/8 + 621*c**3/4 - 267*c**2/2 - 909*c. Factor z(x).
3*(x + 89)*(7*x - 2)/2
Let y(c) be the third derivative of -c**5/15 + 11*c**4/6 - 20*c**3/3 - 148*c**2 - 4. Determine i so that y(i) = 0.
1, 10
Let x(s) = -256*s + 3330. Let t be x(13). Let n(l) be the second derivative of 1/6*l**3 + 23*l + 0*l**t + 1/12*l**4 + 0. Factor n(m).
m*(m + 1)
Let d(v) be the second derivative of v**4/4 - 2675*v**3/2 + 4011*v**2 + 99*v + 1. Factor d(k).
3*(k - 2674)*(k - 1)
Let n(m) be the second derivative of 5*m**4/12 - 20*m**3/3 + 40*m**2 - 2454*m. Factor n(w).
5*(w - 4)**2
Determine h so that -87*h**2 + 355*h**2 + 0*h**4 + 142*h**2 - 2*h**4 - 408 - 406*h + 406*h**3 = 0.
-1, 1, 204
Let i = -497 - -527. Let y be 70/i - (3 - 6). Factor 8/3*o**3 - 4/3 - 20/3*o**2 + y*o.
4*(o - 1)**2*(2*o - 1)/3
Let m be (((-27)/(-60))/((-139)/(-1112)))/((-4)/(-5)). Let q be (6/(-3))/(8/(-3)). Factor q*r**2 + 27/4 + m*r.
3*(r + 3)**2/4
Let v(t) be the first derivative of 5/9*t**3 + 0*t - 1/12*t**4 - 2/3*t**2 - 95. Factor v(y).
-y*(y - 4)*(y - 1)/3
Let y(m) be the third derivative of 2/15*m**7 + 1/84*m**8 + 5 - 32/3*m**3 + 8/15*m**5 - 8/3*m**4 + 2*m**2 + 0*m + 8/15*m**6. Factor y(w).
4*(w - 1)*(w + 2)**4
Let y(f) be the first derivative of -4/17*f**2 + 0*f**3 - 19 + 1/102*f**4 + 6*f. Let m(g) be the first derivative of y(g). Suppose m(p) = 0. Calculate p.
-2, 2
Let u be (2 - 11/6)*192/96. Let p(a) be the first derivative of -2*a**4 + 3*a**2 + 4/3*a**3 + 0*a**5 + u*a**6 + 7 - 4*a. Let p(l) = 0. Calculate l.
-2, -1, 1
Suppose -3*f = -274 + 154. Let q be (-29)/4 + -32 + f. Suppose 1/4*j**2 + q + j = 0. Calculate j.
-3, -1
Let r(l) be the first derivative of l**6/6 - 2*l**5 + 3*l**4/2 + 160*l**3/3 - 175*l**2/2 - 750*l + 5854. Factor r(a).
(a - 5)**3*(a + 2)*(a + 3)
Let q(f) be the first derivative of 37*f**4 + 52*f**3 + 16*f + 2*f**6 - 56 + 40*f**2 + 68/5*f**5. Determine l, given that q(l) = 0.
-2, -1, -2/3
Factor -45/2*i**2 - 65*i - 5/2*i**3 - 60.
-5*(i + 2)*(i + 3)*(i + 4)/2
Let j(i) = -4*i**3 + 3*i**2 - i + 2. Let b(s) be the first derivative of s**4/4 - s - 77. Let t = -15 + 16. Let u(d) = t*j(d) + 5*b(d). Solve u(g) = 0.
-3, -1, 1
What is h in 14213*h + 14204*h + 14353*h - 15*h**3 + 1572*h**2 - 42455*h = 0?
-1/5, 0, 105
Determine r so that -3/4*r**2 + 3/2*r + 2 - 1/4*r**3 = 0.
-4, -1, 2
Factor 3*n**3 - 44*n - 52*n - 39*n**2 + 850 - 895 - 7*n + 16*n.
3*(n - 15)*(n + 1)**2
Let m(k) be the second derivative of 24*k - 7*k**2 - 1/120*k**4 + 0 + 1/15*k**3 - 1/300*k**5. Let c(v) be the first derivative of m(v). Factor c(d).
-(d - 1)*(d + 2)/5
Suppose 0 = 441*y + 46*y + 229*y - 1432. Find i such that 1/2*i**2 - y*i + 2 = 0.
2
Let h = -2839/253 + 2885/253. Factor -h*c**2 + 60/11 + 26/11*c.
-2*(c - 15)*(c + 2)/11
Let c = -114020 + 114023. Solve 0 + 0*r + 4/3*r**2 - 2/3*r**c = 0 for r.
0, 2
Let k(y) = 5*y**2 + 29*y - 132. Let t(v) = 27*v**2 + 158*v - 661. Let m(l) = -33*k(l) + 6*t(l). Factor m(s).
-3*(s - 10)*(s + 13)
Let n(h) be the first derivative of 1/24*h**4 - 1/12*h**2 + 0*h**3 + 0*h + 38. Let n(t) = 0. Calculate t.
-1, 0, 1
Let v(f) = 32*f**3 - 127*f**2 - 1221*f - 2511. Let n(o) = -7*o**3 + 32*o**2 + 305*o + 628. Let x(p) = -9*n(p) - 2*v(p). Suppose x(d) = 0. Calculate d.
-21, -10, -3
Let i be ((-375)/50 - -5)*-2. Suppose 500*y + 75*y**2 + i*y**3 + 1/8*y**4 + 1250 = 0. What is y?
-10
Let c(i) = 7*i**2 - 95*i + 338. Let h(n) = -n**2 + 5*n + 1. Let l(p) = c(p) + 4*h(p). Find o, given that l(o) = 0.
6, 19
Suppose 12*h + 5725 - 5773 = 0. Let l be ((-10)/h)/((-11)/22). Factor 5/4*n**2 - 1/4*n**l + 3/4*n**3 + 0 - 1/4*n**4 + 1/2*n.
-n*(n - 2)*(n + 1)**3/4
Let x(l) be the first derivative of -1/80*l**5 + 0*l + 1/6*l**3 + 11/2*l**2 - 16 + 1/480*l**6 + 0*l**4. Let g(h) be the second derivative of x(h). Factor g(d).
(d - 2)**2*(d + 1)/4
Let j(w) be the second derivative of -1 + 20*w - 1/3*w**3 - 1/12*w**4 + 4*w**2. Factor j(k).
-(k - 2)*(k + 4)
Find t such that -2031/5*t**2 + 17408/5 - 1/5*t**4 - 15296/5*t - 16*t**3 = 0.
-32, -17, 1
Let t(j) be the third derivative of -59*j**6/180 - 89*j**5/135 + 353*j**4/108 + 2*j**3/27 + 6697*j**2. Let t(z) = 0. What is z?
-2, -1/177, 1
Let h(p) = p**3 + 2*p**2 - 4*p + 19. Let l be h(-4). Let -2*r**5 - 3*r**4 - r**l + 3*r**3 + 5*r**4 - 20*r**4 - 18*r**3 = 0. What is r?
-8, -1, 0
Let b(p) be the first derivative of -1/16*p**2 - 71 - 1/24*p**3 + 0*p. Factor b(i).
-i*(i + 1)/8
Let m be 93/3 + 32663/(-1101). Suppose -4/3*f + m + 1/3*f**2 = 0. What is f?
2
Let c(d) be the third derivative of 17/30*d**6 + 0*d + 1/84*d**8 - 7 - 7*d**2 + 17/15*d**5 + d**4 + 2/15*d**7 + 0*d**3. Factor c(j).
4*j*(j + 1)**2*(j + 2)*(j + 3)
Let m(g) = g**2 - 2*g + 3. Let v be m(4). Let b = 20 - v. Factor 9*c - 3*c**2 - 1 - 3*c**4 + 12 + 0*c**2 - b*c**3 - 5.
-3*(c - 1)*(c + 1)**2*(c + 2)
Let q(m) = m**3 - m**2 - m - 1. Let r(v) = 8*v**3 + 736*v**2 - 12*v - 12. Let a(k) = -12*q(k) + r(k). Determine c so that a(c) = 0.
0, 187
Determine z, given that -136/9 + 404/9*z - 1/9*z**5 - 28/9*z**4 + 191/9*z**3 - 430/9*z**2 = 0.
-34, 1, 2
Let i(y) be the first derivative of 2*y**6 + 136*y**5/5 + 35*y**4 - 208*y**3/3 - 40*y**2 - 4509. Find o, given that i(o) = 0.
-10, -2, -1/3, 0, 1
Suppose s + 2 = 1, -3*s = 4*k - 465. What is f in k*f - 2 - 121*f + 2*f**2 - 4*f**2 = 0?
-1
Let s(d) be the first derivative of -d**6/15 - 6*d**5/5 - 13*d**4/5 + 684. Factor s(c).
-2*c**3*(c + 2)*(c + 13)/5
Factor 0 - 43/2*x**3 - 45/2*x - 89/2*x**2 + 1/2*x**4.
x*(x - 45)*(x + 1)**2/2
Let h = 361467/4 + -90348. What is l in h - 3/4*l**3 - 105/4*l + 33/4*l**2 = 0?
1, 5
Let s be 15/5 + -6 - 0. Let u be (s + 1)*1*(-8)/16. Determine w, given that -3/2*w - 1/2*w**2 - u = 0.
-2, -1
Suppose -430*a = 505*a - 1870. Solve 1625*b + 665/3*b**3 - 15*b**4 + 1250/3 - 1075*b**a = 0 for b.
-2/9, 5
Suppose 0 = 9*k - 6*k + 24. Let w be 20/k*(-4)/5. Determine r so that 5*r**w + 11 - 5 + 0 + 20*r + 9 = 0.
-3, -1
Suppose -18*y**3 - 14*y**4 - 16*y**2 - 1901*y**5 - 10*y**3 + 1899*y**5 = 0. What is y?
-4, -2, -1, 0
Let g(s) be the second derivative of -s**5/30 + 4*s**4/9 + 79*s**3/9 + 70*s**2/3 - 3*s + 155. Suppose g(u) = 0. Calculate u.
-5, -1, 14
Let 4/3*m**2 + 1672/3 + 844/3*m = 0. Calculate m.
-209, -2
Let z be (-63)/48*6214/(-39). Let x = z + -209. Factor 0*t**2 - t**4 - 3/8*t**5 - 3/4*t**3 + x*t + 0.
-t*(t + 1)**3*(3*t - 1)/8
Factor -4/5*v**2 - 64 - 96/5*v.
-4*(v + 4)*(v + 20)/5
Suppose -38 = 3*y - 77 + 33. Let i(f) be the first derivative of y*f - 1/5*f**5 + 5/2*f**2 - 5 + f**3 - 1/4*f**4. Find l, given that i(l) = 0.
-1, 2
Factor 4116 + 4*j**2 - 8553 + 3841 + 592*j.
4*(j - 1)*(j + 149)
Let h(p) be the third derivative of 0*p - 1/20*p**6 + 64/3*p**3 + 1/105*p**7 + 4*p**4 + 2 + 50*p**2 - 2/3*p**5. Factor h(y).
2*(y - 4)**2*(y + 1)*(y + 4)
Let l(o) be the first derivative of -3*o**4/16 + 17*o**3/4 - 93*o**2/8 + 45*o/4 - 1177. Factor l(h).
-3*(h - 15)*(h - 1)**2/4
Let g(n) = -5*n**3 + 2*n**2 - 20*n - 12. Let o = -330 - -334. Let z(t) = -6*t**3 + 4*t**2 - 22*t - 13. Let r(f) = o*z(f) - 5*g(f). Factor r(q).
(q + 2)**3
Let p = 478 + -470. Let s be 0 + (-4)/10 - p/(-20). What is n in s - 2/9*n**2 - 2/9*n = 0?
-1, 0
Let r = 142475 - 569897/4. Factor 27/2