- 24, -2*k = -3*v + 14. Determine f, given that 2/9*f**v + m*f - 4/9 = 0.
-2, 1
Factor -184 - 4*i - 62*i + 16*i + 4*i**2 - 34*i.
4*(i - 23)*(i + 2)
Solve 191 - 97 - 94 - 495*d**3 - 20172*d - 383*d**4 + 380*d**4 - 20664*d**2 = 0 for d.
-82, -1, 0
Let p(n) be the first derivative of n**4 + 1372*n**3/3 + 2044*n**2 + 2720*n - 7338. Solve p(h) = 0 for h.
-340, -2, -1
Suppose 11 = -3*y + 23. Suppose y*v = -0*v - 3*z + 40, 0 = 2*v + 5*z - 6. Let 7*d**2 - 30*d**2 + v*d**2 + 4 + 6*d = 0. What is d?
-2/5, 1
Let t(a) be the first derivative of a**7/2520 - 11*a**6/2160 - a**5/36 - 7*a**4/144 - 91*a**3/3 + 130. Let s(m) be the third derivative of t(m). Factor s(x).
(x - 7)*(x + 1)*(2*x + 1)/6
Let b be -9*((-268)/(-8) + -36)*6/27. Let 29/2*p + 5 - b*p**4 - p**3 + 12*p**2 - 3/2*p**5 = 0. Calculate p.
-2, -1, 5/3
Determine w so that 1/7*w**3 + 2816/7 + 43/7*w**2 + 608/7*w = 0.
-16, -11
Let 22/19*r - 48/19 - 2/19*r**2 = 0. What is r?
3, 8
Suppose l = 16 - 14. Suppose 4*c - 25*c**4 - 60*c - 150*c**l + 16*c - 135*c**3 = 0. What is c?
-4, -1, -2/5, 0
Let b(y) = -20*y + 281. Let u be b(14). Let w be (1/(-5))/(-5 + (u - -3)). Solve -8/5*h**3 + 12/5*h**2 + 0*h + 1/5*h**5 + 0 - w*h**4 = 0 for h.
-3, 0, 2
Let z(f) be the second derivative of -f**6/540 - f**5/12 - 4*f**3 + f**2 + 60*f - 2. Let s(g) be the second derivative of z(g). Factor s(r).
-2*r*(r + 15)/3
Let d(o) be the first derivative of -3/4*o**4 - 28 - 3/2*o - 11/2*o**2 - 25/6*o**3. Factor d(f).
-(f + 1)*(f + 3)*(6*f + 1)/2
Let l be (-307748)/(-18571) - (0 + 1 - -9). Determine k so that -l*k**3 - 8/7*k + 0 - 6/7*k**5 - 4*k**4 - 32/7*k**2 = 0.
-2, -1, -2/3, 0
Let f(b) = b**2 + 8*b + 8. Let l(k) = -k - 17. Let r(v) = -f(v) - 4*l(v). Factor r(i).
-(i - 6)*(i + 10)
Let o(y) = -41*y - 202. Let d be o(-5). Factor 2*m**4 - 573*m**5 - m**d - 3*m**4 + 0*m**3 + m**2 + 574*m**5.
m**2*(m - 1)**2*(m + 1)
Let i(u) = -u**3 - 3*u**2 - 4*u - 2. Let h(j) = 9*j**3 - 1157*j**2 - 1152*j + 14. Let g(w) = h(w) + 7*i(w). Find s such that g(s) = 0.
-1, 0, 590
Let b(j) be the first derivative of j**5/45 + j**4/18 - 4*j**3/27 - j**2/9 + j/3 - 244. Factor b(v).
(v - 1)**2*(v + 1)*(v + 3)/9
Let g be (25/9 - 3)/(((-2)/10)/((-1658880)/(-5400))). Factor 1/3*y**2 - 64/3*y + g.
(y - 32)**2/3
Suppose s = 3*f + 232, 4*f + 314 = -4*s + 3*s. Let y = -22 - f. Factor 46*u**2 + y + 73 - 144*u - 3*u**3 + 63 - 10*u**2.
-3*(u - 4)**3
Let x be (-43)/(-72) - (-1 + (-22)/(-18)). Suppose 0 + 5 = -c, 3*c + 15 = -5*o. Factor 0*j - x*j**5 + o + 3/8*j**3 + 0*j**4 + 0*j**2.
-3*j**3*(j - 1)*(j + 1)/8
Let 5062*j**5 + 55*j**2 - 307*j**2 - 42*j**4 - 108*j - 13*j**3 - 170*j**3 - 5065*j**5 = 0. What is j?
-6, -1, 0
Let u(q) be the first derivative of 1/6*q**6 + 150 + 3/5*q**5 - q**2 + 0*q - q**3 + 1/4*q**4. Factor u(b).
b*(b - 1)*(b + 1)**2*(b + 2)
Factor 756*b + 3/7*b**2 + 333396.
3*(b + 882)**2/7
What is n in -2676/7*n + 4/7*n**2 + 5336/7 = 0?
2, 667
Let l(w) be the first derivative of w**4/4 - 57*w**2/2 + 56*w + 3648. Factor l(i).
(i - 7)*(i - 1)*(i + 8)
Factor -57/5*w**3 + 1/5*w**4 - 1782/5 - 567/5*w**2 - 351*w.
(w - 66)*(w + 3)**3/5
Let g be 2/(5*9/90). Factor 24*y**2 - 2*y**3 + 3*y**4 - 2*y**4 - 3*y**g + 24*y + 47*y + 32 - 15*y.
-2*(y - 4)*(y + 1)*(y + 2)**2
Let x(a) = -a**3 - 16*a**2 - 40*a - 11. Suppose 157 = -9*i + 40. Let b be x(i). Solve -b*q**2 + 28/3*q - 16/3 = 0.
2/3, 4
Suppose 3*s = -0*p + 5*p - 19, -30 = -5*s - 4*p. What is n in 28*n - 14*n + 52*n**2 - s*n**3 - 40*n**2 = 0?
-1, 0, 7
Let v = 244089 - 244087. Factor -20/9*a**v + 0 - 2/9*a**3 - 14/3*a.
-2*a*(a + 3)*(a + 7)/9
Solve 777/2*z - 389 + 1/2*z**2 = 0.
-778, 1
Let h(k) be the third derivative of k**6/180 - 8*k**5/45 - k**4 - 102*k**2 - 14*k + 2. Suppose h(m) = 0. What is m?
-2, 0, 18
Factor -6889/9*p + 55/3*p**3 + 0 - 747*p**2 - 1/9*p**4.
-p*(p - 83)**2*(p + 1)/9
Let b(t) be the second derivative of t**4/12 + 221*t**3/6 - 223*t**2 + 445*t - 2. Determine m so that b(m) = 0.
-223, 2
Let m be 6 - (-4)/(-4 - 144/(-30)). Suppose m*p = -26*p. Determine q so that -12*q**2 + p + 4/3*q**3 + 8/3*q + 28*q**4 + 12*q**5 = 0.
-2, -1, 0, 1/3
Let 224*o - 81 + 37*o**2 + 129 + 87*o**2 - 24*o**2 = 0. Calculate o.
-2, -6/25
Let n(t) be the first derivative of 16/13*t - 17/13*t**2 - 1/26*t**4 + 105 + 20/39*t**3. Factor n(y).
-2*(y - 8)*(y - 1)**2/13
Let z = -109 - -97. Let a be z/(-14)*3/((-12)/(-14)). Factor 18*v**4 - 50*v**3 + 14*v**3 - 3*v**5 + 27*v**2 - 6*v**2 + a*v**2.
-3*v**2*(v - 2)**3
Let v = 166 - 105. Suppose -v*t + 70*t = 0. Factor -4/13 + t*a**2 + 6/13*a - 2/13*a**3.
-2*(a - 1)**2*(a + 2)/13
Let d = -131 - -142. Factor 19 - 2*h**2 + h**2 + d*h - 12 + 5.
-(h - 12)*(h + 1)
Suppose 370 = -27*s + 64*s. Suppose 0 = 3*k + 2*w + s, -10*w + 8*w - 10 = -3*k. Factor 0 - 4/3*r**3 + 0*r**2 + k*r.
-4*r**3/3
Let j(y) = -y**3 + 11*y**2 + 5*y - 40. Let d be j(12). Let t = d + 129. Find u such that 10*u**3 - t*u**2 - 1792 - 5*u**4 + 1792 = 0.
0, 1
Let p be 2160/(-810) + (538/42 - 3). Suppose 32/7*s**4 - 380/7*s + p + 642/7*s**2 + 304/7*s**3 = 0. Calculate s.
-5, 1/4
Let q(x) be the first derivative of -x**6/21 + 618*x**5/35 + 155*x**4/7 - 11204. Solve q(c) = 0 for c.
-1, 0, 310
Let z = 395711/989240 + -3/197848. Factor 4 - z*m**2 + 18/5*m.
-2*(m - 10)*(m + 1)/5
Suppose 360 - 11*i + 10*i**2 - i**3 - 480 + 144 - 17*i = 0. Calculate i.
2, 6
Let s(w) = 4*w**2 + 204*w - 424. Let u(r) = 4*r**2 + 204*r - 424. Let z(n) = 4*s(n) - 3*u(n). Find q, given that z(q) = 0.
-53, 2
Let 0 + 65/6*a**3 - 88/3*a + 52/3*a**2 + 7/6*a**4 = 0. Calculate a.
-44/7, -4, 0, 1
Let t(n) be the third derivative of 0*n + 4/3*n**3 - 1/30*n**5 - 103*n**2 + 0*n**4 + 0. Solve t(r) = 0.
-2, 2
Let r(h) be the first derivative of h**6/21 - h**4/2 - 4*h**3/21 + 12*h**2/7 + 16*h/7 - 2584. Find k, given that r(k) = 0.
-2, -1, 2
Let q(b) = b**3 + b**2 - 14*b - 13. Let f(z) = -3*z - 38. Let m be f(-12). Let i(s) = -s**3 + s**2 - 1. Let k(h) = m*i(h) + 2*q(h). Factor k(l).
4*(l - 3)*(l + 1)*(l + 2)
Let b = -473 - -1893/4. Let n(j) be the first derivative of -1/2*j**2 + 2*j + 11 + b*j**4 - 2/3*j**3. Determine z, given that n(z) = 0.
-1, 1, 2
Let z = 1024 + -1031. Let d be 12/z*546/(-351). Determine w so that -2/3*w**3 - 2*w**2 + 0 + d*w = 0.
-4, 0, 1
Let o = 98978/9 + -692828/63. Factor o*f**2 + 0 + 34/7*f.
2*f*(f + 17)/7
Let x = -300 - -300. Let f(l) = -l**3 + 3*l**2 - l + 2. Let w be f(x). Let -2/7*s**4 - 10/7*s**w + 0 + 8/7*s**3 + 4/7*s = 0. What is s?
0, 1, 2
Let u = -501309 + 501311. Factor 1/4*z**4 - 3/2*z**u + 7*z - 6 - 3/4*z**3.
(z - 2)**3*(z + 3)/4
Let m(u) = -20*u**2 - 650*u - 1335. Let a(l) = -7*l**2 - 325*l - 668. Let i(r) = 5*a(r) - 2*m(r). Let i(p) = 0. Calculate p.
-2, 67
Let l(m) = -5296*m - 15883. Let z be l(-3). Solve -54*g**3 + 48*g**2 + 0*g + 18*g**4 - 3/2*g**z + 0 = 0 for g.
0, 2, 8
Let h(k) be the third derivative of -k**6/360 + k**5/10 + 43*k**4/72 - 10*k**3/3 - 61*k**2 - 10*k. Factor h(c).
-(c - 20)*(c - 1)*(c + 3)/3
Suppose 3*c = -0*p - 5*p - 84, 0 = -4*p - 5*c - 62. Let f be (-4)/(-5) - p/15. Factor 2*o - 2 + 9*o + 8*o - 20*o + o**f.
(o - 2)*(o + 1)
Suppose -82*w = -372 - 274 + 154. Factor 3/2*k**4 + 6*k**3 - w*k - 6 + 9/2*k**2.
3*(k - 1)*(k + 1)*(k + 2)**2/2
Let a(z) be the third derivative of -z**6/120 - 28*z**5/15 - 589*z**4/6 + 7688*z**3 + 2213*z**2. Factor a(u).
-(u - 12)*(u + 62)**2
Let c(j) be the third derivative of -j**8/336 + 13*j**7/210 - 23*j**6/60 + 4*j**5/5 - 25*j**2 + 7*j. Solve c(b) = 0 for b.
0, 2, 3, 8
Let p = 3038 - 3033. Let r(x) be the third derivative of 0 + 16*x**2 + 1/300*x**p + 0*x - 1/120*x**4 + 0*x**3. Suppose r(b) = 0. Calculate b.
0, 1
Let b be (2 - (1 - 1))/(2/3). Suppose -4*u = -19 + b. Factor 4*f + f**3 - 2*f - 4*f**4 + 3*f**3 - 6*f + u*f**2.
-4*f*(f - 1)**2*(f + 1)
Let z(v) = 2417*v - 188524. Let j be z(78). Determine s, given that -2888/5 + 228*s + 4/5*s**3 + 144/5*s**j = 0.
-19, 2
Let p(j) = 17*j**4 - 8*j**3 + 39*j**2 - 20*j - 28. Let l(z) = 2*z**4 + 3*z**2 - 3*z - 1. Let o(i) = -24*l(i) + 3*p(i). Factor o(f).
3*(f - 5)*(f - 2)**2*(f + 1)
Let l be (-9)/(-2)*(-154)/(-21). Suppose -3*c + 4*c = 4*u + 30, 2*c = -u + l. Solve -45*t**2 - 16 - 20*t + c*t**2 + 23*t**2 = 0.
-4, -1
Let b(l) be the second derivative of -l**6/360 - l**5/120 + 31*l**3/3 + 37*l. Let j(w) be the second derivative of b(w). Factor j(v).