63). Determine w so that -1/7*w**3 - 9/7*w**2 - s - 27/7*w = 0.
-3
Suppose p + 10 = t + 6, 3*p + 26 = 5*t. Factor 30/7 + 3/7*w**p + 9/7*w - 18/7*w**2.
3*(w - 5)*(w - 2)*(w + 1)/7
Let c = 13691/20514 - 5/6838. Factor -2*b**2 + c*b**4 - 10/3*b + 2/3*b**3 - 4/3.
2*(b - 2)*(b + 1)**3/3
Let d = -264593/3 - -88201. Determine g so that g - 1/3*g**2 + d = 0.
-2, 5
Let p(i) be the first derivative of -i**3 - 912*i**2 - 277248*i - 1170. Factor p(y).
-3*(y + 304)**2
Let c(b) = -b**2 - 10*b + 24. Suppose -35 = -12*k + 1. Let m(s) = -2*s**2 - 1. Let j(z) = k*m(z) - 3*c(z). Determine w, given that j(w) = 0.
5
Find q such that 6*q**3 + 0*q**3 - 7895*q**2 - 40*q + 6*q**3 + 7562*q**2 - 44*q = 0.
-1/4, 0, 28
Let g(t) be the second derivative of 6*t**2 + 18*t - 1/16*t**4 + 1/3*t**3 + 1/240*t**5 + 0. Let b(k) be the first derivative of g(k). Factor b(o).
(o - 4)*(o - 2)/4
Let l be 33/(-12) + (16 - -1 - 14). Let d(o) be the second derivative of 3*o**3 + 0 + 15/2*o**2 + l*o**4 + 11*o. Factor d(j).
3*(j + 1)*(j + 5)
Let o be ((-7)/((-189)/(-12)))/(162/(-729)). Let 26/3*x - 8/9*x**3 + 20/9 + 8*x**o = 0. What is x?
-1/2, 10
Suppose 5*u - 6 = 8*u. Let c(o) = -2*o**2 + 8*o - 6. Let g(d) be the second derivative of -d**3/6 + d**2/2 - 7*d - 2. Let k(j) = u*g(j) - c(j). Factor k(q).
2*(q - 2)*(q - 1)
Let f be -3*((-2400)/45)/20. Factor 2/5*n**2 + 16/5*n - f.
2*(n - 2)*(n + 10)/5
Let o be (-5)/(-15) - (5/(-50))/(1/(-2)). Factor o*z + 2/15*z**2 + 0.
2*z*(z + 1)/15
Let o(c) be the second derivative of c**6/15 + 99*c**5/5 + 3267*c**4/2 - 4626*c. Solve o(x) = 0 for x.
-99, 0
Find y such that -1/3*y**2 - 214/3 + 109/3*y = 0.
2, 107
Let c(x) = 6*x**2 - 74*x + 126. Let p(g) = 31*g**2 - 371*g + 629. Let t(w) = 11*c(w) - 2*p(w). Let t(j) = 0. What is j?
2, 16
Let 30 - 19*t**2 - 1337*t**4 - 31*t**2 + 5*t**5 - 5*t + 1357*t**4 = 0. Calculate t.
-3, -2, -1, 1
Suppose 4 = y - 0. Let p = 184897 + -2403653/13. Determine f so that 2/13*f**y + 8/13 + 10/13*f**3 - 2/13*f**5 - p*f - 10/13*f**2 = 0.
-2, -1, 1, 2
Let z(f) be the second derivative of f**6/90 + 53*f**5/60 + 223*f**4/12 - 117*f**3/2 - 729*f**2 - f - 147. Factor z(n).
(n - 3)*(n + 2)*(n + 27)**2/3
Factor 21/2*w**2 + 0 - 32/3*w**3 + 1/6*w**4 + 0*w.
w**2*(w - 63)*(w - 1)/6
Let m = 9925/9 - 9919/9. Suppose m*o**4 - 10/3*o**2 - 2*o - 2/3*o**3 + 0 = 0. What is o?
-1, 0, 3
Determine i, given that -10/17*i**3 + 2/17*i**4 - 58/17*i**2 + 138/17*i + 504/17 = 0.
-3, 4, 7
Let w(y) be the first derivative of 2*y**5/45 + 73*y**4/18 - 298*y**3/27 + 25*y**2/3 + 3591. Suppose w(n) = 0. What is n?
-75, 0, 1
Determine i, given that 49*i**3 - 248*i**5 + 245*i**5 - 80 - 26*i**4 - 173*i + 105*i + 84*i**2 = 0.
-10, -1, 4/3, 2
Let h = -25663 + 25669. Let g(f) be the second derivative of -25/3*f**3 - 1/30*f**h + 125/2*f**2 + 0 - 5*f**4 - 7/10*f**5 + 32*f. Factor g(i).
-(i - 1)*(i + 5)**3
Let g be 2431/493 + 24/348. Let -5 - 75/4*j + g*j**2 = 0. What is j?
-1/4, 4
Suppose -m - 6 = -4*q, 5 + 1 = 2*q + m. Suppose 14*t - 11*t + h - q = 0, -2*h + 4 = -2*t. Factor -4/5*k**2 - 81/5*k**5 + 32/5*k**3 - 9*k**4 + t + 0*k.
-k**2*(k + 1)*(9*k - 2)**2/5
Let s(m) be the first derivative of 11*m**6/10 + 3*m**5 + 7*m**4/4 - m**3 - 312*m + 45. Let z(u) be the first derivative of s(u). Find t, given that z(t) = 0.
-1, 0, 2/11
Let j = 1233938/7 - 176264. Let -3/7*p**2 - 675/7 - j*p = 0. What is p?
-15
Let a(j) = -4*j**2 + 16*j + 17. Let h(w) = -36*w**2 + 144*w + 152. Let k = 149 - 177. Let m(c) = k*a(c) + 3*h(c). Factor m(u).
4*(u - 5)*(u + 1)
Suppose -508*i**2 - 1182*i + 505*i**2 - 4248 - 243*i = 0. What is i?
-472, -3
Solve -2*v**3 + 4*v**2 - v**3 + 27 + 0*v**3 - 502*v + 553*v + 17*v**2 = 0.
-1, 9
Let l(b) = -8*b**3 + 40*b**2 + 70*b - 350. Let p be l(5). Suppose -1/2*c**3 + 8*c**2 - 32*c + p = 0. Calculate c.
0, 8
Let t(z) = 6*z - 100. Let d be t(19). Solve -l**3 + 15*l - 5*l**2 + 7*l**2 - d*l**3 - 10 + 8*l**2 = 0 for l.
-1, 2/3, 1
Let z(o) = 17*o**2 - 434*o - 427. Let i(p) = -190*p**2 + 4780*p + 4700. Let y(r) = -4*i(r) - 45*z(r). Find x, given that y(x) = 0.
-1, 83
Let k be 5 + 93/279*(-5 + (2 - 0)). Let l(a) be the third derivative of 2*a**3 + 0*a + 1/30*a**5 - 3*a**2 - 5/12*a**k + 0. Find c such that l(c) = 0.
2, 3
Let c(o) be the third derivative of 0*o + 0*o**3 - 31*o**2 + 1/630*o**7 + 0 - 1/72*o**6 + 5/72*o**4 - 1/180*o**5. Let c(u) = 0. What is u?
-1, 0, 1, 5
Let y(k) = -5*k**2 + 9*k + 22. Let g be y(3). Let m(w) be the second derivative of 0 + 1/4*w**g - 13*w + 3*w**3 + 0*w**2. Determine b so that m(b) = 0.
-6, 0
Suppose 6*m - 3672 + 3606 = 0. Let t be (-2 - (-20)/m) + (-1512)/(-1540). Let t*z**2 + 24/5 + 4*z = 0. What is z?
-3, -2
Let b(j) be the first derivative of 4*j**5/5 - 9*j**4 - 36*j**3 + 658*j**2 - 1176*j + 1505. Determine q so that b(q) = 0.
-6, 1, 7
Suppose -876 - 283*l - 101*l - 176*l + 256*l - 4*l**2 = 0. What is l?
-73, -3
Let x(q) be the first derivative of q**6/9 + 4*q**5/3 - 47*q**4/24 - 29*q**3/18 + 43*q**2/12 - 11*q/6 + 2618. Let x(i) = 0. What is i?
-11, -1, 1/2, 1
Let c be 2 - 4 - 54/(-15). Let z = 1688/4045 - 14/809. Factor -6/5*h**2 - h**3 + z*h**4 + 4*h - c.
(h - 2)**2*(h + 2)*(2*h - 1)/5
Let y(v) = -16*v**2 - 3820*v - 16. Let j(s) = -19*s**2 - 3815*s - 20. Let q(m) = -4*j(m) + 5*y(m). Factor q(u).
-4*u*(u + 960)
Suppose 651 = 19*c + 670. Let m(n) = n**2 - n + 1. Let o(s) = 4*s**2 + 50*s + 340. Suppose -j = -3*j + 4. Let p(g) = c*o(g) + j*m(g). Factor p(y).
-2*(y + 13)**2
Let s(y) = 2*y**2 + 28*y + 4 + 7 - 14*y. Let h be s(-9). Suppose 16*q + 40*q**2 + h*q**5 - 13 - 16*q**4 - 19 - 51*q**5 - 4*q**3 + 0 = 0. Calculate q.
-2, 1
Let f(r) be the first derivative of 0*r + 42 - 9/4*r**4 - r**3 + 9/2*r**2 + 3/5*r**5. Find g, given that f(g) = 0.
-1, 0, 1, 3
Let p be (((-1190)/(-952))/((-45)/8))/(1/(-18)). Suppose -16/3*i**3 + 0 - p*i**4 + 2/3*i**5 + 4*i**2 + 14/3*i = 0. Calculate i.
-1, 0, 1, 7
What is c in -632 - 944*c + 672*c - 1728*c + 0*c**2 - 3*c**2 + 103*c = 0?
-632, -1/3
Let n(z) = -7*z**2 + 798*z - 2359. Let k(l) = -365*l**2 + 41495*l - 122670. Let i(w) = 2*k(w) - 105*n(w). Factor i(s).
5*(s - 157)*(s - 3)
Let z = 29 + -24. Factor -114*f**4 + 93*f**4 + 4*f**3 + 9*f**z - 3*f**2 + 11*f**3.
3*f**2*(f - 1)**2*(3*f - 1)
Let f = -380226 - -2661608/7. Solve 12/7 - 2/7*w**3 - f*w + 16/7*w**2 = 0 for w.
1, 6
Let z be (36/24)/(9/8358). Let c = 1396 - z. Factor -r**2 + 8/3*r + 1/3*r**4 - 4/3 - 2/3*r**c.
(r - 2)*(r - 1)**2*(r + 2)/3
Let o(h) = 2*h**3 - 10*h**2 + 18*h - 6. Let g(c) = 32*c**2 - 16*c**2 + c - 17*c**2 - 1. Let b(r) = 4*g(r) + o(r). Factor b(q).
2*(q - 5)*(q - 1)**2
Let x(v) be the first derivative of 105 - 2/27*v**3 + 44/9*v**2 - 968/9*v. Factor x(s).
-2*(s - 22)**2/9
Factor -d - 4*d + 5*d**3 - 5795*d**2 + 243764 - 237969.
5*(d - 1159)*(d - 1)*(d + 1)
Let p(a) be the first derivative of -2*a**5/5 + 27*a**4/2 - 78*a**3 + 157*a**2 - 132*a + 1356. Determine r so that p(r) = 0.
1, 3, 22
Find v, given that 176/7*v**2 - 48/7*v - 4*v**3 + 0 = 0.
0, 2/7, 6
Let c = 597 - 690. Let s be c/(-9) + (-29)/(-58). Solve -5*t**4 + 0 - s*t**3 - 10*t**2 - 5/6*t**5 - 10/3*t = 0.
-2, -1, 0
Let w(y) be the first derivative of -y**4/60 - 2*y**3/15 + y**2/2 + 107*y + 126. Let g(d) be the first derivative of w(d). Find x, given that g(x) = 0.
-5, 1
Let c(w) = -2*w + 9. Let j(n) = 400 - 399 + 5*n**2 + n - 6*n**2. Let b(o) = -o**2 + 3*o - 4. Let p be b(5). Let t(k) = p*j(k) + 2*c(k). Factor t(i).
2*(i - 1)*(7*i - 2)
Let f(v) = v**3 + 3093*v**2 - 3074*v - 10. Let p(k) = 4*k**3 + 9280*k**2 - 9220*k - 32. Let o(m) = 16*f(m) - 5*p(m). Factor o(j).
-4*j*(j - 771)*(j - 1)
Let g be (-8)/18 + (-41)/(738/(-62)). Let -3/5*z**g - 6*z**2 + 0 - 15*z = 0. What is z?
-5, 0
Let c be (-1 - -25)*2/((-6)/(-9)). What is r in -25*r**2 - 22*r**3 + c*r - 3*r**2 + 4*r**4 + r**5 + r**5 + 4*r**2 = 0?
-3, 0, 2
Let r(k) be the third derivative of -k**8/4480 + k**7/168 - 13*k**4/24 - k**3/6 + 68*k**2. Let j(i) be the second derivative of r(i). Solve j(w) = 0.
0, 10
Let f = -56/57 + 82/19. Let n(l) be the first derivative of -f*l - 80/9*l**3 + 27 + 55/6*l**2 + 35/12*l**4. Solve n(w) = 0 for w.
2/7, 1
Let h(j) be the second derivative of -67/6*j**3 - 107/140*j**5 + 5 + 157/28*j**4 + 7*j**2 + 1/30*j**6 + 7*j. Determine b, given that h(b) = 0.
2/7, 1, 7
Suppose 709996 = -89*i + 710619. Factor i*v