- 191*v**2 + 282*v - 2074. Factor s(u).
-2*(u - 47)*(u - 3)*(u - 1)
Let n(t) = t**2 + 5*t - 3. Let j(o) = -10*o**2 + 29*o - 10. Let v(d) = 5*j(d) + 40*n(d). Factor v(p).
-5*(p - 34)*(2*p - 1)
Let o(d) be the second derivative of d**6/120 + 27*d**5/80 - 13*d**4/4 + 16*d**3/3 - 2093*d. Find x such that o(x) = 0.
-32, 0, 1, 4
Let f(l) be the second derivative of l**5/50 + 257*l**4/30 + 256*l**3/15 + 4*l + 94. Factor f(w).
2*w*(w + 1)*(w + 256)/5
Let q(s) be the first derivative of -2*s**3/3 - 306*s**2 - 46818*s + 1814. Let q(t) = 0. Calculate t.
-153
Factor 15*r**3 + 86*r**2 - 318*r - 205*r**2 + 20*r**2 - 216 - 12*r**3.
3*(r - 36)*(r + 1)*(r + 2)
Let z(m) be the second derivative of m**6/270 - 67*m**5/20 + 45901*m**4/54 - 45200*m**3/9 + 10000*m**2 - 31*m - 16. Factor z(i).
(i - 300)**2*(i - 2)*(i - 1)/9
Let o(n) = 5*n**3 + 30*n**2 - 63*n + 18. Let b(k) = -13*k**3 - 59*k**2 + 127*k - 30. Let d(q) = 2*b(q) + 5*o(q). Determine g, given that d(g) = 0.
1, 30
Suppose -a - 2 = a - 2*h, 25 = 5*h. Let 24*d**4 + 17*d**4 - 68*d**a + 24*d**4 = 0. What is d?
0
Factor -124 - 21*u**2 + 117*u**2 + 906*u - 41*u**2 - 29*u**2 - 104*u.
2*(u + 31)*(13*u - 2)
Let n = -94681/21 + 4509. Let v(u) be the first derivative of -37 - 2/63*u**3 + 5/21*u**2 - n*u. Determine d so that v(d) = 0.
1, 4
Let a be ((-4)/(-9))/((-3016)/(-3393)). Solve 0 + 2/3*h - a*h**3 + 0*h**2 - 1/6*h**4 = 0.
-2, 0, 1
Let i(v) be the second derivative of -29*v**4/48 - 165*v**3/8 - 17*v**2/4 - 418*v - 4. Factor i(s).
-(s + 17)*(29*s + 2)/4
Let t(o) = -441*o**2 + 48*o + 2. Let i(p) = 882*p**2 - 94*p - 3. Let u = -184 + 194. Let y(m) = u*t(m) + 6*i(m). Suppose y(d) = 0. Calculate d.
1/21
Let a(g) = g - 2. Let q(u) = -33*u - 227. Let o(b) = -4*a(b) - q(b). Let s be o(-8). Factor 0*w - 1/6*w**s + 1/2*w**2 + 0.
-w**2*(w - 3)/6
Let r(h) be the second derivative of 8811*h**5/100 - 28*h**4/5 - 2*h**3/5 + 67*h - 7. Factor r(a).
3*a*(33*a - 2)*(89*a + 2)/5
Let q(g) = -g - 2. Let x be q(-5). Suppose -b - x*z + 17 = 0, -4*b + z = -0 - 3. Factor 2*p**3 + b*p**4 - 3*p**4 + 0*p**3 - 6*p**4.
-p**3*(7*p - 2)
Suppose f - 31 = -4*d, 5*d - 47 = f - 3*f. Suppose 2*s + 3*y - 1 = 2*y, 5*y + f = -2*s. Factor 29*z**s + 17*z - 2*z - 34*z**2 - 10.
-5*(z - 2)*(z - 1)
Let l = 145 - 148. Let u be (396/15)/(-12) - l. Find n such that -4/5*n**2 + 24/5 + u*n = 0.
-2, 3
Let p = 767/240 + -37/12. Let n(x) be the second derivative of -3/4*x**2 + 0 - p*x**5 + 3/8*x**3 + 1/16*x**4 + 6*x + 1/40*x**6. Find t such that n(t) = 0.
-1, 1, 2
Let z(j) be the second derivative of j**6/180 - 13*j**5/120 - j**4/24 + 37*j**3/36 + 13*j**2/6 + 110*j - 7. Determine a so that z(a) = 0.
-1, 2, 13
Let i(n) be the second derivative of -n**5/30 + 355*n**4/18 - n - 806. Factor i(w).
-2*w**2*(w - 355)/3
Let v be 5/(-15) + 1 + 2/(-3). Factor 4*r**2 - 86 + v*r**2 - 84*r - 2.
4*(r - 22)*(r + 1)
Let a(s) be the second derivative of s**5/60 - 47*s**4/36 - 8*s**3/3 + 336*s. Determine z, given that a(z) = 0.
-1, 0, 48
Let h(b) = -b**2 - 7*b + 15. Let k be h(-6). Determine s, given that -67 - s**2 + 3 - s**2 - 7*s - 8*s - k*s = 0.
-16, -2
Let j(g) = 2*g**3 - 16*g**2 + 15*g + 1. Let o be j(7). Suppose 12*v - o*v - 8 = 0. Factor -4/3*b**4 + 4/3 + 16/3*b**v + 4/3*b**3 + 14/3*b - 2/3*b**5.
-2*(b - 2)*(b + 1)**4/3
Let u(q) be the second derivative of -q**4/6 - 208*q**3 - 97344*q**2 + 697*q. Factor u(f).
-2*(f + 312)**2
Let l(v) = v**2 + 26*v + 109. Let s be l(-23). Let o be 0 + (-3)/(3/(-4)). Determine c so that 5*c**o + 82*c - 42*c - s*c = 0.
0
Factor 0*i + 0*i**2 + 0 + 2/5*i**5 - 62/5*i**4 - 64/5*i**3.
2*i**3*(i - 32)*(i + 1)/5
Let c(n) be the second derivative of -3*n**5/80 + 157*n**4/48 + 683*n**3/12 + 105*n**2 + 10663*n. Factor c(l).
-(l - 60)*(l + 7)*(3*l + 2)/4
Let q(k) be the third derivative of 182*k**2 + 0 + 0*k**3 + 2/735*k**7 - 26/105*k**5 + 0*k**4 + 5/42*k**6 + 0*k. Factor q(u).
4*u**2*(u - 1)*(u + 26)/7
Let l(k) be the first derivative of 3*k**4/16 + 468*k**3 + 438048*k**2 + 182227968*k - 250. Find h such that l(h) = 0.
-624
Suppose 0 = 3*o + 2*h - 3, 2*o = 2*h - 4*h. Let g be (-2)/((3/9)/((-1)/o)). Factor -6*m + 37*m**g - 3*m**3 - 27*m**2 - 19*m**2.
-3*m*(m + 1)*(m + 2)
Let k(m) be the first derivative of 2*m**3/21 - 55*m**2/7 + 408*m/7 - 7610. Factor k(q).
2*(q - 51)*(q - 4)/7
Let j(w) = -w**3 + 7*w**2 + 7*w + 11. Let z be j(7). Factor -27 + 45*o**2 + 19 - z*o + 28.
5*(3*o - 2)**2
Let h = -1690 - -1690. Let w(m) be the third derivative of 1/120*m**6 + 1/90*m**5 + 0 + 0*m - 14*m**2 + h*m**4 + 0*m**3 + 1/630*m**7. Factor w(r).
r**2*(r + 1)*(r + 2)/3
Let z(a) = -4*a**4 + 16*a**3 + 68*a**2 - 179*a + 98. Let y(w) = -w**4 - 2*w**3 - w**2 + w + 2. Let f(b) = -y(b) + z(b). Factor f(s).
-3*(s - 8)*(s - 1)**2*(s + 4)
Let h = 2990041/9 - 332220. Determine s so that -185/9*s**3 - 5/3*s**5 + 4/3 - h*s**2 + 32/9*s - 119/9*s**4 = 0.
-6, -1, -1/3, 2/5
Let i(m) be the first derivative of m**7/840 + m**6/480 - m**5/120 + m**2/2 - 22*m + 59. Let p(s) be the second derivative of i(s). Factor p(j).
j**2*(j - 1)*(j + 2)/4
Let g(d) = -22*d**3 - 27*d**2 + 59*d - 2. Let p(o) = 21*o**3 + 29*o**2 - 62*o + 3. Let b(s) = 9*g(s) + 8*p(s). Find k such that b(k) = 0.
-6/5, -1/6, 1
Determine q so that -q**5 - q**5 + 63*q**3 - 22*q**4 - 145*q**3 - 2*q**4 - 8*q**4 - 52*q**2 = 0.
-13, -2, -1, 0
Let l = 290747/7 - 41533. Determine o, given that -2/7*o**3 + 12/7*o**2 + 30/7*o + l = 0.
-1, 8
Let k(d) be the second derivative of -2*d**7/315 + d**6/18 - d**5/15 - d**4/2 - 43*d**2 - 77*d. Let a(o) be the first derivative of k(o). Factor a(j).
-4*j*(j - 3)**2*(j + 1)/3
Let a be 5/(-5)*(-6 + -4). Let r be 11/((-220)/16)*a/(-4). Factor 8/3 + 4/3*h - 4/3*h**r.
-4*(h - 2)*(h + 1)/3
Let f be ((-70)/20*180)/((-2)/6). Let a = -1886 + f. Find r, given that 3/2*r**a - 3*r**3 - 9/2*r**2 + 6*r + 6 = 0.
-1, 2
Suppose 8032030*q + 8018*q**2 - 448282*q**3 + 896569*q**3 - 448285*q**3 - 8040050 = 0. What is q?
-2005, 1
Factor -247296 - 1255780 + 687763*j**2 + 4904*j - 687767*j**2.
-4*(j - 613)**2
Let i(f) be the first derivative of 0*f**2 - 2*f + 1/32*f**4 + 0*f**3 + 3/160*f**5 - 14. Let b(x) be the first derivative of i(x). Determine j so that b(j) = 0.
-1, 0
Let b = -684 + 1174. Let p = b + -488. Suppose 4/3*r**5 + 0 + 0*r**p + 0*r - 8/3*r**4 + 4/3*r**3 = 0. What is r?
0, 1
Let k be ((-3)/(-3) - 6)*39/(-65). Let w be (k/(-10))/(4*21/(-224)). Factor -6/5*s**2 - 2/5*s**3 - w*s + 0.
-2*s*(s + 1)*(s + 2)/5
Let f = 19798 - 19793. Let m(a) be the third derivative of 0 - 37*a**2 + 1/600*a**6 + 0*a**4 + 0*a**f + 0*a + 1/1050*a**7 + 0*a**3. Let m(g) = 0. Calculate g.
-1, 0
Factor 6028*g**2 - 112*g - 20*g + 25*g**4 - 52 - 6111*g**2 + 2*g**4 + 23*g**3 + g**5.
(g - 2)*(g + 1)**3*(g + 26)
What is s in -1025*s**4 - 5*s**5 + 31911341*s**3 + 746*s**2 - 4766*s**2 - 31915381*s**3 = 0?
-201, -2, 0
Let r(l) be the second derivative of l**4/72 + 623*l**3/12 - 935*l**2/6 + 2*l + 150. Solve r(o) = 0.
-1870, 1
Determine m so that -242/7*m**2 + 2*m**4 - 254/7*m - 12 - 58/7*m**3 = 0.
-1, -6/7, 7
Let f be (-336)/15 + (234 - 211). Let x be (-3)/2 + 2/(8/18). Solve -6/5 + 9/5*h + 0*h**2 - f*h**x = 0 for h.
-2, 1
Let x(h) be the first derivative of 8*h - 2/3*h**3 + 1/12*h**4 + 2*h**2 + 15. Let c(g) be the first derivative of x(g). Factor c(k).
(k - 2)**2
Factor 70/19*c**2 + 0 - 24/19*c - 16/19*c**3.
-2*c*(c - 4)*(8*c - 3)/19
Let m(i) be the third derivative of -9*i**7/245 - 81*i**6/70 + 306*i**5/35 - 442*i**4/21 + 512*i**3/21 - 5873*i**2 - 2. Determine y so that m(y) = 0.
-64/3, 2/3, 2
Let m(s) be the first derivative of -s**4/12 + s**3 - 64*s + 139. Let w(t) be the first derivative of m(t). Find i such that w(i) = 0.
0, 6
Let r(j) = 28*j**2 + 188*j. Let b(g) = -4*g**2 - 27*g. Suppose 8*p - 11*p = 138. Let t = 43 + p. Let z(i) = t*r(i) - 20*b(i). Solve z(y) = 0 for y.
-6, 0
Let r(u) be the third derivative of -u**8/896 - u**7/20 + u**6/320 + 7*u**5/40 - u**2 + 371. Let r(p) = 0. Calculate p.
-28, -1, 0, 1
Let x(y) be the third derivative of -16*y**8/7 - 2928*y**7/35 - 1503*y**6/2 + 77787*y**5/40 - 3807*y**4/2 + 972*y**3 + 1827*y**2. Factor x(i).
-3*(i + 12)**2*(8*i - 3)**3/2
Let u(w) = 3*w**3 + 10*w**2 - 5. Let s be u(-3). Find m such that s*m**2 + 117*m + 51*m - 897 + 2661 = 0.
-21
Let u(j) be the second derivative of j**7/6300 + 7*j**6/