 - 27*g**4 - 8*g + d*g + 8*g**5 = 0. What is g?
-9, -1, 0, 2/7, 1
Let p(b) be the first derivative of -b**4/7 + 88*b**3/21 + 258*b**2/7 + 648*b/7 - 4274. Determine x so that p(x) = 0.
-3, -2, 27
Let c = 6014/14435 + -48/2887. Find d, given that 9/5 + 1/5*d**4 - c*d**2 - 12/5*d + 4/5*d**3 = 0.
-3, 1
Suppose 21 = 6*z - 3. Suppose -4*l = -4 - z. Factor -o**2 + 4*o + 0*o**l + 2*o + 0*o**2.
-o*(o - 6)
Factor 8/5*k**3 - 12/5*k - 2/5*k**4 - 2/5*k**2 + 0.
-2*k*(k - 3)*(k - 2)*(k + 1)/5
Solve -3*x**5 + 0*x**5 + 2*x + 17*x**3 + 21*x**2 - 8 - 11*x**4 - 49*x**3 + 33*x**3 - 2*x**4 = 0.
-4, -1, 2/3, 1
Let y(v) = 6*v**2 + 29*v + 9. Let w(m) = -m**2 + 1. Let j be -1*(10/(-60))/(2/(-12)). Let q(o) = j*y(o) + 3*w(o). Find c, given that q(c) = 0.
-3, -2/9
Let b(z) = z**3 - z**2 - 1. Let x = 636 + -603. Let j(l) = 36*l**3 - 206*l**2 + 144*l - 39. Let t(p) = x*b(p) - 3*j(p). Factor t(q).
-3*(q - 7)*(5*q - 2)**2
Let h(f) = 9*f**3 + 10*f**2 + 7*f + 7. Let a(z) = z**3 + z + 1. Let n(l) = -7*a(l) + h(l). Find q, given that n(q) = 0.
-5, 0
Factor 1/2*s**2 + 50 - 26*s.
(s - 50)*(s - 2)/2
Let h(z) be the second derivative of -21*z**4/8 - z**3/2 + 36*z + 2. Find p such that h(p) = 0.
-2/21, 0
Let r(x) be the first derivative of x**6/2 + 813*x**5 + 1379049*x**4/4 + 458329*x**3 + 3983. What is o in r(o) = 0?
-677, -1, 0
Let p(z) be the first derivative of 2*z**4 - 516*z**3 + 35640*z**2 + 352836*z - 5714. Suppose p(n) = 0. What is n?
-9/2, 99
Let n be (0 - (-2)/6)*(16 + -10). Suppose -179*o**2 + 6*o**n + 50*o**2 + 6*o = 0. Calculate o.
0, 2/41
Let q(l) = 2*l**2 + 4*l - 2. Let w be q(2). Factor 4*r**2 + 8*r - 4*r**2 + 8 - w - 2*r**2.
-2*(r - 3)*(r - 1)
Let w = 35 - 6. Let b = 31 - w. Factor -13*i + 13*i - 4 - 14*i**b + 10*i + 8*i.
-2*(i - 1)*(7*i - 2)
Factor -30758*s**4 + 3/4 + 2769/2*s**2 + 9633*s**3 + 227/4*s.
-(7*s - 3)*(26*s + 1)**3/4
Let w(m) be the third derivative of 2*m**7/105 + 7*m**6/120 - m**5/2 + 23*m**4/24 - 2*m**3/3 + 1184*m**2. Factor w(d).
(d - 1)**2*(d + 4)*(4*d - 1)
Let y(o) be the second derivative of 3*o**5 + 3*o + 0*o**2 - 14/3*o**4 + 1/21*o**7 + 3*o**3 + 0 - 4/5*o**6. Factor y(d).
2*d*(d - 9)*(d - 1)**3
Let u be 6 + ((-3072)/(-432) - 13). Determine h, given that 1/3*h + 2/9 - 1/9*h**4 - 1/3*h**3 - u*h**2 = 0.
-2, -1, 1
Suppose -3*t + 11 = -d, 32*d = 2*t + 35*d. Let q(f) be the third derivative of 0 - 5/144*f**4 + 0*f**t - 10*f**2 + 0*f - 1/360*f**5. Find v such that q(v) = 0.
-5, 0
Let v be ((-54)/(-2376)*-22)/(22/(-8)). What is m in -4/11 + v*m - 6/11*m**3 + 8/11*m**2 = 0?
-2/3, 1
Let n(d) be the first derivative of -d**5/40 + 29*d**4/16 - 46*d**3/3 + 283*d**2/8 - 255*d/8 + 1511. Suppose n(s) = 0. What is s?
1, 5, 51
Let h(t) be the second derivative of -2*t**6/75 + 74*t**5/25 + 5*t**4 + 1364*t + 3. What is s in h(s) = 0?
-1, 0, 75
Let f(y) be the first derivative of 5/3*y**3 + 150*y + 155/2*y**2 - 76. Find p such that f(p) = 0.
-30, -1
Suppose -928 = 86*g - 385*g - 330. Let f(w) be the second derivative of 18*w - 5/21*w**3 + 0 - 1/42*w**4 - 4/7*w**g. Factor f(m).
-2*(m + 1)*(m + 4)/7
Let p(t) be the first derivative of 20*t + 2/3*t**3 + 46 - 11*t**2. Factor p(n).
2*(n - 10)*(n - 1)
Solve -418/7 + 64/7*q**3 + 128*q - 540/7*q**2 - 2/7*q**4 = 0.
1, 11, 19
Let 11 + 1/6*r**3 - 11*r**2 - 1/6*r = 0. What is r?
-1, 1, 66
Let c(m) = -m**3 - 11*m - 25. Let i be c(-2). Solve -46*j**3 + 76078*j**i + 12*j**2 - 6*j**4 - 34*j**4 - 76060*j**5 = 0 for j.
-1, 0, 2/9, 3
Suppose b - 6 = 5*c + 129, 2*c = 3*b - 418. Find h such that 5 + 5*h**2 + 130*h**3 - b*h**3 - 5 + 5*h**4 = 0.
0, 1
Let k(v) = -46*v**2 - 49*v + 8. Let j(l) = 224*l**2 + 246*l - 40. Let o(n) = 3*j(n) + 14*k(n). Let o(a) = 0. What is a?
-2, 1/7
Let z(v) be the first derivative of 1/6*v**5 - 5/24*v**4 + 9 - 2*v**2 + 0*v - 5/2*v**3. Let k(b) be the second derivative of z(b). Determine i so that k(i) = 0.
-1, 3/2
Factor 80 - 276/7*k - 2/7*k**2.
-2*(k - 2)*(k + 140)/7
Factor 26*r + 152*r**2 + 140*r**2 - 436*r**2 + r**3 + 129*r**2.
r*(r - 13)*(r - 2)
Let y(v) be the first derivative of -15*v**4 - 8*v + 20 - 14/5*v**5 - 24*v**2 - 86/3*v**3. What is x in y(x) = 0?
-2, -1, -2/7
Suppose 252 = 41*f - 13*f. Let w be f + (-483)/60 - 6/8. Factor 0*i**2 - w + 2/5*i + 1/5*i**4 - 2/5*i**3.
(i - 1)**3*(i + 1)/5
Let a(j) be the first derivative of 2*j**3/3 - 45*j**2 + 252*j + 1943. Factor a(p).
2*(p - 42)*(p - 3)
Let t(r) = r**3 + 2*r**2 - 5*r - 4. Let n be t(-3). Suppose -40 - 3*d - d**2 - 14*d - 11*d - 3*d**n = 0. Calculate d.
-5, -2
Let w(d) be the third derivative of d**8/168 + 79*d**7/105 + 149*d**6/20 + 653*d**5/30 - 76*d**4/3 - 292*d**3 + 4960*d**2. Find s, given that w(s) = 0.
-73, -3, -2, 1
Let u(a) be the first derivative of a**4/10 + 128*a**3/15 - 269*a**2/5 + 408*a/5 + 5124. Find y such that u(y) = 0.
-68, 1, 3
Let y(x) be the first derivative of -1/3*x**3 - 76 + 0*x + 1/4*x**2. Factor y(d).
-d*(2*d - 1)/2
Let d be ((-20)/35)/(20/(-7) + 12 + -10). Let r(s) = -2*s + 12. Let n be r(5). Factor 0 + d*l + 10/3*l**n.
2*l*(5*l + 1)/3
Let a(u) be the third derivative of -u**6/60 - 323*u**5/30 - 643*u**4/12 - 107*u**3 - u**2 + 1825*u. Factor a(x).
-2*(x + 1)**2*(x + 321)
Let b(m) be the third derivative of -m**5/240 - 465*m**4/8 - 648675*m**3/2 + m**2 - m - 1256. Factor b(s).
-(s + 2790)**2/4
Let h(w) be the second derivative of 7/3*w**3 - 2 + 21*w + 1/10*w**5 + 5/6*w**4 + 3*w**2. Solve h(l) = 0.
-3, -1
Let o(p) = 65*p - 390. Let t be o(6). Suppose -3*z - 86 + 95 = t. What is y in -8/3*y**2 - 4/3*y**5 + 4/3*y**z + 8/3*y**4 + 0*y + 0 = 0?
-1, 0, 1, 2
Let q(i) be the third derivative of 0 - 3*i**2 - 3/20*i**5 + 1/20*i**6 + 2*i**3 - 1/2*i**4 + 2*i + 1/70*i**7. Factor q(o).
3*(o - 1)**2*(o + 2)**2
Suppose 120 - 108 = 6*q. Solve 244*a - 1773*a - 2304 - 4*a**3 - 196*a**q + 182*a - 1149*a = 0 for a.
-24, -1
Let q be (-1 - -2)/(6821/20463). Factor -32/3*y**q + 2/3*y**4 + 188/3*y**2 + 150 - 160*y.
2*(y - 5)**2*(y - 3)**2/3
Let s = 250/3187 + 5124/15935. Factor -24/5*d - 16/5*d**2 + 2/5*d**4 + 0 + s*d**3.
2*d*(d - 3)*(d + 2)**2/5
Let f(d) = d**3 + d**2 - 2*d + 25. Let a(o) = -o**4 + 128*o**3 + 817*o**2 + 1670*o + 987. Let z(u) = -a(u) - 5*f(u). Suppose z(p) = 0. What is p?
-2, 139
Let n be 1/(-6) + (-4)/(-24). Suppose -81*c + 19 - 10 = -153. Let -2/7*m**c - 2/7*m + n = 0. Calculate m.
-1, 0
Let s(w) be the first derivative of -2*w**3/27 + 43*w**2/9 - 80*w/3 - 1048. Factor s(f).
-2*(f - 40)*(f - 3)/9
Let o(j) be the third derivative of j**5/20 - 51*j**4/8 + 49*j**3 - j**2 - 304*j. Suppose o(v) = 0. Calculate v.
2, 49
What is w in 550/13*w**2 - 500/13*w - 210/13*w**3 + 34/13*w**4 + 0 - 2/13*w**5 = 0?
0, 2, 5
Let v(n) = -7*n**2 - 11*n. Let y(b) = 14*b**2 + 23*b - 1. Let p = 41 + -34. Let w(h) = 2*h - 16. Let o be w(p). Let q(z) = o*y(z) - 5*v(z). Factor q(j).
(j + 1)*(7*j + 2)
Let q(h) be the first derivative of -11*h**6/18 + 5*h**5 - 107*h**4/12 + 11*h**3/3 + 5*h**2/3 + 2078. What is t in q(t) = 0?
-2/11, 0, 1, 5
Let y(h) be the third derivative of 0 + 121*h + 0*h**3 - 1/30*h**4 - 1/600*h**6 + 1/60*h**5 + h**2. Factor y(v).
-v*(v - 4)*(v - 1)/5
Let p(o) = -2*o**2 + o + 11. Let k(l) = -2*l**2 + 279*l + 1173. Let c(g) = k(g) + p(g). Factor c(d).
-4*(d - 74)*(d + 4)
Let r(b) be the first derivative of -b**8/336 + b**7/56 + b**6/72 - b**5/8 - b**3/3 + 102*b - 116. Let t(v) be the third derivative of r(v). Factor t(z).
-5*z*(z - 3)*(z - 1)*(z + 1)
Let c(i) be the second derivative of 3*i**5/50 - 9*i**4/10 - 21*i**3/5 + 147*i**2 + 12*i - 1. Factor c(a).
6*(a - 7)**2*(a + 5)/5
Let a(j) be the third derivative of j**7/105 + 7*j**6/135 + 2*j**5/135 - 8*j**4/27 + 8*j**2 - 506*j. Determine z so that a(z) = 0.
-2, 0, 8/9
Let j be 10/4*702/2925. Suppose -4*i + 29 = 17. Factor 0*m + 1/5*m**5 + 0 - 1/5*m**2 - 3/5*m**4 + j*m**i.
m**2*(m - 1)**3/5
Let f(i) be the first derivative of 241/9*i**3 + 100/3*i - 1/18*i**6 - 1 - 17/15*i**5 - 140/3*i**2 - 43/12*i**4. What is n in f(n) = 0?
-10, 1
Let r(n) = 69*n**3 - 127*n**2 - 27*n + 13. Let z be r(2). Find j, given that 27/2 - 63/4*j - 3/4*j**4 + 15/4*j**z - 3/4*j**2 = 0.
-2, 1, 3
Let a(m) be the third derivative of m**6/240 - 167*m**5/40 + 27889*m**4/16 - 4657463*m**3/12 - 764*m**2. Find t such that a(t) = 0.
167
Let o(a) be the third derivative of 0*a**3 - 11*a**2 - 1/240*a**5 + 0*a + 1 + 11/96*a**4.