Determine w, given that q(w) = 0.
-4, -2, 0
Let t(d) be the first derivative of d**4/8 - 5*d**3 - 63*d**2/4 - 16*d - 70. Let t(m) = 0. Calculate m.
-1, 32
Let y be (36/(-14)*40/60)/(-1). Factor -16/7 + 6/7*f**2 + y*f - 2/7*f**3.
-2*(f - 4)*(f - 1)*(f + 2)/7
Suppose 4*n = -3*p + 11, -n - 2*n + 9 = 3*p. Let b be 82/4 - n/(-4). Determine k, given that -3 - 3*k - b*k**2 - 3 + 24*k**2 = 0.
-1, 2
Let l be (6/7)/((-2)/(-7)). Suppose 27 - l = 6*c. Let -q**3 + 3*q**3 + q**2 + 2*q**5 - 4*q**3 + 20*q**c - 21*q**4 = 0. What is q?
-1, 0, 1/2, 1
Let l(k) be the first derivative of 3*k**5/5 - 69*k**4/4 + 118*k**3 + 288*k**2 - 864*k + 351. Determine m, given that l(m) = 0.
-2, 1, 12
Let g(x) = -3*x**3 + 35*x**2 - 40*x - 78. Let c(s) = 65*s**3 - 770*s**2 + 880*s + 1715. Let m be (-6)/2 + (4 - -1). Let d(b) = m*c(b) + 45*g(b). Factor d(j).
-5*(j - 4)**2*(j + 1)
Let a(p) be the third derivative of 0*p - 2/15*p**5 - 4/3*p**3 - 5/6*p**4 + 0 - 9*p**2. Solve a(h) = 0 for h.
-2, -1/2
Suppose 28 = 2*p - 4*q, 2*p - 7*p - 3*q = -18. Suppose -15 = p*t - 9*t. Determine o, given that -34/3*o**4 + 0*o - 7*o**t + 8/3*o**2 + 20/3*o**3 + 0 = 0.
-2, -2/7, 0, 2/3
Determine m, given that -106*m - 4*m**4 + 19*m - 120*m**3 + 384*m**2 - 165*m - 176*m + 132 + 36*m = 0.
-33, 1
Let s(b) = -b**3 + b**2 - b. Let q(n) = -3*n**3 - 9*n + 3. Let j(r) = q(r) - 5*s(r). Suppose j(m) = 0. What is m?
-1, 1/2, 3
Let t(x) be the second derivative of x**6/120 - 3*x**5/10 - 9*x**4/16 + 25*x**3/12 + 188*x - 2. Factor t(p).
p*(p - 25)*(p - 1)*(p + 2)/4
Let a = 33 - 31. Let l(r) be the second derivative of 1/42*r**7 + 0*r**3 + 0*r**6 - 1/6*r**4 - 3/20*r**5 + 0 + r + 0*r**a. Factor l(k).
k**2*(k - 2)*(k + 1)**2
Let v(p) be the second derivative of p**5/20 - 31*p**4/12 + 19*p - 9. Factor v(d).
d**2*(d - 31)
Let b = -325 - -330. Let x(n) be the first derivative of 6 - 2*n + 2/5*n**b + 0*n**3 - 2*n**2 + n**4. Find s, given that x(s) = 0.
-1, 1
Let k(j) = j**4 + 2. Let b(i) = -30*i**4 + 35*i**3 + 40*i**2 - 50. Let y(s) = -b(s) - 25*k(s). Factor y(o).
5*o**2*(o - 8)*(o + 1)
Suppose -3*o + 7*o = -5*w + 20, 8 = 2*o + 2*w. Solve o + 10/13*t**3 - 2/13*t**2 - 8/13*t = 0 for t.
-4/5, 0, 1
Let c(i) be the second derivative of i**6/15 - 3*i**5/5 - 4*i**4/3 + 2*i**3 + 7*i**2 + 3*i - 45. Factor c(v).
2*(v - 7)*(v - 1)*(v + 1)**2
Find l, given that 6*l + 82676*l**2 - 120*l - 82679*l**2 - 111 = 0.
-37, -1
Let s(c) = -c**3 - 8*c + 5. Suppose 3*r = 7*r + r. Let w be s(r). Factor 0 + 0*h + 1/7*h**w - 1/7*h**3 - 1/7*h**4 + 1/7*h**2.
h**2*(h - 1)**2*(h + 1)/7
Solve 212/23*q - 6/23*q**2 - 70/23 = 0 for q.
1/3, 35
Factor -5/2*u + u**2 + 2*u**3 + 1/2*u**5 + 1 - 2*u**4.
(u - 2)*(u - 1)**3*(u + 1)/2
Suppose 2*j + b = 4, -4*j - 168*b + 8 = -165*b. What is v in 4/7*v**j + 0*v + 0 - 2/7*v**3 = 0?
0, 2
Let j(t) be the third derivative of t**6/90 + 7*t**5/9 + 67*t**4/18 + 22*t**3/3 - 53*t**2. Factor j(y).
4*(y + 1)**2*(y + 33)/3
Suppose c - 33 = -2*q + 4*q, -41 = -2*c - q. Let w = -6 + 9. Factor -2 - 7*d**2 - c*d - 2*d**w + 16*d + 0*d**2.
-(d + 1)*(d + 2)*(2*d + 1)
Let y(i) be the third derivative of -i**6/300 - i**5/15 + 13*i**4/60 + 22*i**3/15 - 7*i**2 + 3*i. Determine n, given that y(n) = 0.
-11, -1, 2
Let b(t) = t + 6. Let v be b(5). Let m(a) = -a**3 + 13*a**2 + 14*a + 3. Let q be m(14). Determine y, given that -13 + 2*y**2 + 2*y + v - 4*y + 2*y**q = 0.
-1, 1
Let p(n) be the first derivative of -n**6/120 + n**5/40 + 11*n**3/3 - 2. Let y(q) be the third derivative of p(q). Factor y(l).
-3*l*(l - 1)
Let r(z) = -7*z**3 + 24*z**2 - 44*z + 4. Let f(q) = 15*q**3 - 48*q**2 + 87*q - 9. Let m(a) = -4*f(a) - 9*r(a). Factor m(y).
3*y*(y - 4)**2
Solve 24*o + 6 + 16*o**2 - o**2 + 8 + 3*o**2 - 3*o**4 - 5 = 0 for o.
-1, 3
Let x(n) be the first derivative of -4 + 2/3*n**3 - 3/10*n**5 + 5/8*n**4 + 0*n - n**2. Factor x(q).
-q*(q - 2)*(q + 1)*(3*q - 2)/2
Let n(u) be the first derivative of 8 - 7/20*u**5 + 5/16*u**4 + 1/8*u**6 + 0*u**2 - 1/12*u**3 + 0*u. Factor n(l).
l**2*(l - 1)**2*(3*l - 1)/4
Let g(w) be the third derivative of w**8/672 - w**7/420 - w**6/80 + w**5/24 - w**4/24 - w**2 - 79. Suppose g(k) = 0. Calculate k.
-2, 0, 1
Let a = 72/37 - 31/111. Let -25*l**4 + a*l**3 + 0 + 0*l + 10/3*l**2 = 0. What is l?
-1/3, 0, 2/5
Let v = -6 + 11. Factor f + 5*f - 2*f**3 - f**3 + 2*f**2 - v*f**2.
-3*f*(f - 1)*(f + 2)
Let l(w) be the third derivative of 0*w**3 + 0*w**4 + 1/105*w**7 - 1/120*w**6 + 0 + 1/336*w**8 - 7*w**2 + 0*w - 1/30*w**5. Factor l(b).
b**2*(b - 1)*(b + 1)*(b + 2)
Solve -92*p - 451*p**3 + 3*p**4 + 44 - 2*p**4 + 63*p**2 + 435*p**3 = 0.
1, 2, 11
Determine c so that 37/2*c - 1369/2*c**2 - 1/8 = 0.
1/74
Let u(s) = 12*s**3 + 68*s**2 + 72*s - 8. Let j(k) = 8*k**3 + 45*k**2 + 47*k - 5. Let r(l) = -8*j(l) + 5*u(l). Determine y, given that r(y) = 0.
-4, -1, 0
Let l(m) be the second derivative of -1/50*m**5 + 34*m + 1/6*m**4 + 0 + 3/5*m**2 - 7/15*m**3. Determine b, given that l(b) = 0.
1, 3
Let x(q) be the second derivative of 1/9*q**2 - 1/54*q**4 - 1/27*q**3 + 1/90*q**5 + 0 - 7*q. Suppose x(n) = 0. What is n?
-1, 1
Suppose -5*a = 5*k - 355, 3*a - k - 233 = -0*k. Suppose -5*z - 76 + a = 0. What is r in -26/3*r**4 + z + 8/3*r**5 - 14/3*r**2 + 10*r**3 + 2/3*r = 0?
0, 1/4, 1
Determine d, given that -116/5*d**2 + 14/5*d**3 + 26*d - 28/5 = 0.
2/7, 1, 7
Suppose -13 = -2*i - 5. Suppose 3*t = 5*c + 6, -4*c + t - 2 + 0 = 0. Find p, given that -2*p**3 - p**i + c*p**2 - 2*p**3 + 3*p**4 + 2*p**2 = 0.
0, 1
Let p = 404 + -399. Let d(l) be the second derivative of 0*l**2 - 1/20*l**p - l - 1/12*l**4 + 1/3*l**3 + 0. Let d(w) = 0. What is w?
-2, 0, 1
Let z be 9/(-6) - (237/(-36) - -5). Let s(q) be the second derivative of 1/80*q**5 + z*q**3 + 0*q**2 + 4*q - 1/16*q**4 + 0. Factor s(m).
m*(m - 2)*(m - 1)/4
Let u(r) be the second derivative of r**6/780 + r**5/390 + r**2/2 + 10*r. Let m(k) be the first derivative of u(k). Solve m(s) = 0.
-1, 0
Let u = 51427/3 + -102845/6. Let f = 591/46 + 15/23. Factor -f + 36*j - u*j**4 + 12*j**3 - 33*j**2.
-3*(j - 3)**2*(j - 1)**2/2
Let i be 2/1 + 3/(-3)*82. Let t be 1 - (i/28 - -1). Suppose 3*o**2 + 4/7 - 2/7*o**3 - o**4 + t*o = 0. What is o?
-1, -2/7, 2
Let l = -88 + 97. Let k be -4 + l + -4 - (-1)/(-1). Factor 0*y**2 + 1/3*y**5 - 2/3*y**3 + 0 + 1/3*y + k*y**4.
y*(y - 1)**2*(y + 1)**2/3
Factor -7546368/7*c**3 - 499392/7*c**2 - 42762752/7*c**4 - 14688/7*c - 162/7.
-2*(68*c + 3)**4/7
Let b(p) be the second derivative of 5/42*p**7 + 0*p**2 + 1/6*p**6 + 15*p - 5/12*p**4 - 1/4*p**5 + 0 + 0*p**3. Let b(f) = 0. Calculate f.
-1, 0, 1
Let c(u) be the second derivative of 0 - 1/15*u**3 - 1/200*u**5 + 0*u**2 - 1/24*u**4 + 2*u. Factor c(r).
-r*(r + 1)*(r + 4)/10
Let c(b) be the third derivative of -5/12*b**4 + 18*b**2 + 5/6*b**3 + 1/12*b**5 + 0*b + 0. Factor c(v).
5*(v - 1)**2
Let j(n) = -11*n + 7*n - 30 - n. Let h be j(-13). Suppose h*m**2 - 35*m**2 + m - m**3 = 0. What is m?
-1, 0, 1
Let f(q) be the third derivative of 1/105*q**7 + 0 + 0*q - 1/30*q**5 + 1/6*q**4 + 0*q**3 - 1/30*q**6 + 18*q**2. Find c, given that f(c) = 0.
-1, 0, 1, 2
Let m(w) be the first derivative of -7/96*w**4 + 7/480*w**6 - 1/12*w**3 + 0*w - w**2 - 2 + 1/120*w**5. Let n(x) be the second derivative of m(x). Factor n(p).
(p - 1)*(p + 1)*(7*p + 2)/4
Suppose 5*s = 2*o - 19, -s = 2*o - 0*s - 1. Find f, given that 75 - f**2 - f**o + 5*f**2 + 30*f = 0.
-5
Let a = -15506 - -263752/17. Let m = a + -648/85. Determine z, given that m + 6/5*z**2 + 4*z = 0.
-3, -1/3
Factor -2/9*t**2 - 578/9 - 68/9*t.
-2*(t + 17)**2/9
Find v such that 94*v + 18*v + 27 + 29*v**2 - 12*v**2 - 13*v**2 - 143 = 0.
-29, 1
Let q(h) = 2*h**3 - 146*h**2 - 145*h - 222. Let c be q(74). What is w in c - 4/17*w + 2/17*w**3 - 2/17*w**2 = 0?
-1, 0, 2
Let f(p) = -p + 5. Let u be f(3). Suppose -c + 5*h = -2, -c + h = 3*h - u. Factor 2*y + 1 + 4*y**3 - 4*y**3 - y - y**c - y**3.
-(y - 1)*(y + 1)**2
Let h(o) be the first derivative of 8/51*o**3 + 8/85*o**5 - 3/17*o**4 - 1/51*o**6 - 16 + 0*o - 1/17*o**2. Factor h(a).
-2*a*(a - 1)**4/17
Let o(j) = j + 10. Let r(h) = -h - 9. Let y(s) = 7*o(s) + 6*r(s). Let t be y(8). Factor 9*b + 32 - 65*b + t*b**2 + 36*b**3 - 24*b.
4*(b + 2)*(3*b - 2)**2
Solve 2/9*d**3 + 398/9*d - 202/9*d**2 - 22 = 0 for d.
1, 99
Factor -10*f**2 + 0*f + 0 + 1/6*f**3.
f**2*(f - 60)/6
Let d(x) be the first d