irst derivative of 1/16*w**4 + 1/12*w**3 - 54 - w - 1/2*w**2. Find g, given that y(g) = 0.
-2, -1, 2
Factor 0 + 2*t**2 - 112/9*t.
2*t*(9*t - 56)/9
Let g(a) be the second derivative of -a**5/5 + 283*a**4/3 - 188*a**3 - 879*a. Find o such that g(o) = 0.
0, 1, 282
Let 609*r - 1799*r + 60 + 608*r + 608*r + 2*r**2 = 0. What is r?
-10, -3
Let g(p) = 15*p**3 + 8*p**2 - 65*p + 5. Let r(v) = -2*v**3 - v**2 + 8*v - 2. Let i(t) = -5*g(t) - 35*r(t). Determine b, given that i(b) = 0.
-3, -1, 3
Factor 6/7*f**2 + 16/7 - 20/7*f.
2*(f - 2)*(3*f - 4)/7
Factor 2/3*x**2 - 112/3*x - 232/3.
2*(x - 58)*(x + 2)/3
Let w(m) be the third derivative of m**6/780 + m**5/78 - 2*m**4/39 - 4*m**3/13 + 128*m**2 - m - 1. Solve w(p) = 0 for p.
-6, -1, 2
Let v be ((-2 - (-32)/12) + 2/(-3))/(-1). Let d(c) be the second derivative of 5/12*c**4 + v + 15/2*c**2 + 13*c + 10/3*c**3. Suppose d(a) = 0. Calculate a.
-3, -1
Let q be (-104)/(-16) + 15/(-10). Factor a**2 - 4*a + a + a - q + 6*a.
(a - 1)*(a + 5)
Let r(k) be the first derivative of k**3/4 + 3717*k**2/2 + 4605363*k + 1021. Factor r(i).
3*(i + 2478)**2/4
Let q be (-442)/(-5)*1563/6773. Suppose -5*c = -2*c - 6. What is g in 24/5 + 9/5*g**4 + 84/5*g + q*g**c + 51/5*g**3 = 0?
-2, -1, -2/3
Let b = 316969/13026 + -1/4342. Factor -49 - b*q**2 + 287/3*q + 5/3*q**3.
(q - 7)**2*(5*q - 3)/3
Suppose -154*q + 116 = -152*q. Suppose -73 - 100*u + 33 - 20 + 99*u**2 + q*u**3 + 8 - 5*u**4 = 0. Calculate u.
-2, -2/5, 1, 13
Let s be (-11 + 10)/((-1)/(-16)). Let d be ((-21)/(-14))/((-12)/s). Factor -3 - 3*a + 3*a**3 + 9/4*a**d + 3/4*a**4.
3*(a - 1)*(a + 1)*(a + 2)**2/4
Let h be (60/(-24))/((-50)/920). Let i(u) be the second derivative of 1/5*u**5 + 2/3*u**3 + 1/2*u**4 + 0 + 1/2*u**2 + h*u + 1/30*u**6. Factor i(k).
(k + 1)**4
Suppose 163 + 69*d**2 - 4*d**3 + 177 + 111 - 188*d - 9*d**2 - 319 = 0. What is d?
1, 3, 11
Let r(q) = -405*q**3 - 54790*q**2 + 73455*q - 18360. Let i(o) = 24*o**3 + 3223*o**2 - 4321*o + 1080. Let c(j) = -50*i(j) - 3*r(j). Factor c(l).
5*(l - 1)*(l + 216)*(3*l - 1)
Suppose -3*y - 3*p - 339 = 0, 0 = -3*y + p - 3*p - 336. Let m = y + 225/2. Determine n, given that 1/2*n**4 + 0 + 9/2*n + 3/2*n**2 - m*n**3 = 0.
-1, 0, 3
Suppose a + 32 = 9*a. Let t(j) be the second derivative of -16*j + 0*j**2 + 0*j**a + 3/20*j**5 + 0 + 0*j**3. What is r in t(r) = 0?
0
Suppose 3*m + 4*h - 5*h = 29, 5*m + 2*h = 52. Factor -20 + 11*n - 6*n - m*n + 20*n**2 + 5*n**3.
5*(n - 1)*(n + 1)*(n + 4)
Let l(w) = 12*w**3 - 470*w**2 - 2734*w - 4048. Let u(p) = -p**3 + 2*p**2 - 2*p - 11. Let j(a) = l(a) + 10*u(a). Factor j(c).
2*(c - 231)*(c + 3)**2
Let v(y) = y**2 - 2*y - 1. Let d = 260 + -259. Let b(f) = -8*f**2 - 168*f - 1932. Let s(p) = d*b(p) + 4*v(p). Factor s(q).
-4*(q + 22)**2
Factor -62/19*v**4 - 54/19 + 2/19*v**5 + 218/19*v + 12*v**3 - 332/19*v**2.
2*(v - 27)*(v - 1)**4/19
What is l in 5/6*l**2 + 35 - 85/6*l = 0?
3, 14
Let z = 22041/2 + -11018. Let c(o) be the first derivative of -z*o**2 + 1/6*o**3 + 0*o + 52. What is p in c(p) = 0?
0, 10
Let s(y) = -y**2 - 7*y + 2. Let b(m) = 7*m + 1. Let h be b(5). Let o(r) = h*r + 163 - 81 + 6*r**2 - 91. Let p(z) = 6*o(z) + 33*s(z). What is q in p(q) = 0?
1, 4
Let g = 1551 + -1780. Let s = g - -229. Factor 0*c + 0*c**2 - 2/5*c**5 + s*c**3 + 0 - 4/5*c**4.
-2*c**4*(c + 2)/5
Let f(t) be the first derivative of 3*t**4/4 + 9*t**3 + 12*t**2 - 2252. Factor f(w).
3*w*(w + 1)*(w + 8)
Let p be ((3150/54)/35*(4/(-20) - -1))/8. Find v, given that -1/12*v**3 + 0 - p*v**4 + 0*v + 1/6*v**2 + 1/12*v**5 = 0.
-1, 0, 1, 2
Let b be 8/10*(3766/(-756) - -5). Let w = 5/27 + b. Find q, given that 1/5*q**2 + 1/5*q - w*q**3 - 1/5 = 0.
-1, 1
Suppose 42*j**2 - 27 - 21/2*j + 9*j**3 + 3/2*j**5 - 15*j**4 = 0. What is j?
-1, 1, 2, 9
Let i(m) be the third derivative of -m**8/840 + 8*m**7/525 - m**6/15 + 8*m**5/75 - m**2 - 246. Factor i(d).
-2*d**2*(d - 4)*(d - 2)**2/5
Let f = 770497 + -3852479/5. Factor f*u**3 + 2/5*u**5 + 46/5*u**2 - 14/5*u**4 + 24/5 - 64/5*u.
2*(u - 6)*(u - 1)**3*(u + 2)/5
Let b = 47 - 43. Suppose 2*h - 3*x - 59 = -0*h, b*x + 64 = 2*h. Factor 14 + h - 24 - 9*p - 3*p**2.
-3*(p - 1)*(p + 4)
Let i = -2279/60 + 159/4. Let a = i + -4/15. Suppose -a*k + 3/2*k**2 + 0 = 0. Calculate k.
0, 1
Let v(h) = h**3 + 10*h**2 + 11*h - 16. Let c be v(-7). Suppose 35*x = 38*x - c. Solve 2*d**2 - 11 + x*d - 7*d**2 + 2*d**2 - 16 = 0.
3
Let p be 4*(-100)/(29900/(-69)). Factor -2/13*c + 2/13*c**2 - p.
2*(c - 3)*(c + 2)/13
Let r(k) be the second derivative of -6 + 4/5*k**2 - 1/45*k**3 - 1/90*k**4 + 8*k. Let r(i) = 0. Calculate i.
-4, 3
Let r(s) = s. Let w(c) = -c**2 + 4*c. Let x(v) = 4*r(v) - 2*w(v). Let z(q) = -2*q**2 + 4*q**2 + 11*q - 14*q. Let f(k) = 5*x(k) - 6*z(k). Factor f(l).
-2*l*(l + 1)
Let k(r) be the third derivative of -r**7/840 - 17*r**6/240 + 7*r**5/240 + 29*r**4/12 - 17*r**3/2 - 2*r**2 + 2898*r. Determine t, given that k(t) = 0.
-34, -3, 1, 2
Suppose -3*d - 2*r = -97, d - 159 = -4*d - 2*r. Suppose d*x - 15 = 26*x. Factor -3/5*y + 9/5 + 4/5*y**x - 8/5*y**2.
(y + 1)*(2*y - 3)**2/5
Find k such that -258*k + 67/6*k**3 + 108 + 235/3*k**2 + 1/3*k**4 = 0.
-18, 1/2, 2
Let t(d) = -33*d - 127. Let r be t(-4). Let o(b) be the first derivative of 15*b**3 - 3*b**r + 15/2*b**2 + 5/4*b**4 - 10*b - 20. Let o(h) = 0. What is h?
-1, 1/3, 2
Let l(h) be the third derivative of -5*h**5/12 + 6535*h**4/24 - 435*h**3 + 4*h**2 - 2*h + 4. Factor l(g).
-5*(g - 261)*(5*g - 2)
Let l(h) = h**3 - 19*h**2 + 17*h + 22. Let d be l(18). Let -828*q**3 + 35*q**2 + 30*q**2 - 85*q**d + 883*q**3 + 20 + 25*q**5 - 80*q = 0. Calculate q.
-1, 2/5, 1, 2
Let u(v) be the first derivative of 12/7*v - 8/21*v**3 + 32 + 1/7*v**2 + 1/14*v**4. Let u(t) = 0. Calculate t.
-1, 2, 3
Let l(b) be the third derivative of -b**5/3 - 871*b**4/6 - 116*b**3 - 32*b**2 + 3. Factor l(z).
-4*(z + 174)*(5*z + 1)
Let h = 16 + -25. Let z(w) = w + 11. Let s be z(h). Factor -64*j + 16 + 68*j**s - 32*j**3 - 6*j**3 + 18*j**3.
-4*(j - 2)*(j - 1)*(5*j - 2)
Suppose 2*i + j - 49 = 0, i - j + 0*j = 20. Suppose -7 = 4*z - 3*z - 2*b, 4*b = -z + i. Factor 23*x**2 + z*x**2 - 2*x**2 + 32*x - 4*x**4 + 12.
-4*(x - 3)*(x + 1)**3
Let x(o) be the third derivative of -o**6/24 + 29*o**5/12 + 5*o**4/24 - 145*o**3/6 - 587*o**2. Factor x(z).
-5*(z - 29)*(z - 1)*(z + 1)
Let s(c) be the second derivative of c**4/24 - 2*c**3/3 - 1037*c. Let s(z) = 0. Calculate z.
0, 8
Let r(h) be the third derivative of 0 - 1/30*h**4 - 1/50*h**5 + 0*h - 87*h**2 + 1/840*h**8 + 1/300*h**6 + 1/175*h**7 + 0*h**3. Solve r(n) = 0 for n.
-2, -1, 0, 1
Suppose 3*h - 1 + 13 = 0, 4*j + 4*h = -32. Let x(k) = k**2 + k + 1. Let d(b) = 16*b**3 + 24*b**2 + 8*b - 4. Let q(m) = j*x(m) - d(m). Factor q(v).
-4*v*(v + 1)*(4*v + 3)
Let k be -4*(1 + ((-3150)/160)/15). Let h(n) be the first derivative of -20 - 5/2*n**3 + 5/2*n**2 - k*n + 5/4*n**4 - 1/4*n**5. Solve h(m) = 0 for m.
1
Suppose 95*c - 93*c + 16 = 0. Let u = 10 + c. Suppose 1/4*v**3 - 1/4 - 1/4*v + 1/4*v**u = 0. What is v?
-1, 1
Let d(u) be the second derivative of -1/6*u**4 + 1 + 17*u**3 - 27*u + 52*u**2. Factor d(a).
-2*(a - 52)*(a + 1)
Let a(o) be the first derivative of 11*o**5/15 - 119*o**4/12 + 110*o**3/3 - 122*o**2/3 - 56*o/3 + 24. Solve a(i) = 0.
-2/11, 2, 7
Let g(k) be the second derivative of 0*k**2 + 3/20*k**3 - 6*k - 3 - 1/120*k**4. Determine j, given that g(j) = 0.
0, 9
Let y = 6083/701160 - 2/5843. Let x(b) be the second derivative of 1/36*b**4 - 1/6*b**2 + b - 1/36*b**3 + y*b**5 + 0. Determine h, given that x(h) = 0.
-2, -1, 1
Let m be 300352/(-156)*(-33)/308. Suppose 152/7*y - m - 4/7*y**2 = 0. Calculate y.
19
Let p(m) be the second derivative of -m**4/12 - 9*m**3/2 + 14*m - 77. Factor p(k).
-k*(k + 27)
Let o(j) be the first derivative of -j**5/75 + 4*j**4/5 - 96*j**3/5 - 55*j**2 - 118. Let d(i) be the second derivative of o(i). Factor d(v).
-4*(v - 12)**2/5
Let r(g) = -g**3 - g**2 + 3*g - 1. Let q(w) = -11*w**3 - 32*w**2 + 37*w - 9. Let x(s) = -3*q(s) + 3*r(s). Suppose x(l) = 0. Calculate l.
-4, 2/5, 1/2
Let k(a) be the third derivative of 144*a**3 + 1/30*a**6 - 5*a + 0 + 6/5*a**5 + 18*a**4 + 8*a**2. Factor k(p).
4*(p + 6)**3
Let y(m) = 14*m + 185. Let j be y(-13). What is p in -33*p**3 - p + p + 35*p**j + 22*p**2 = 0?
-11, 0
Let l(h) = 2 - 3 + 2*h**2 - 10 - 3. Let v(s) = -3*s - 6. Let y be v(-6). 