e 0 - 4 + 135*m**3 + 102*m**4 + 45*m - 19*m**4 - 48*m**4 - 6 + 155*m**2 = 0. Calculate m.
-2, -1, 1/7
Find r, given that -10/7*r**3 - 4/7*r**4 + 2/7*r**5 + 20/7*r**2 + 8/7*r - 16/7 = 0.
-2, -1, 1, 2
Let h(i) = 14*i**2 + 113*i + 2. Let m be h(-8). Let j be m + (3 - (-4)/12 - -3). Determine o, given that j*o**2 - 1 - 2/3*o = 0.
-1, 3
Let u(v) = -11*v**3 - 38*v**2 + 66*v. Let k(c) = 23 + 121*c**2 - 155*c**3 - 656*c**2 - 23 + 925*c. Let p(i) = -6*k(i) + 85*u(i). Determine s so that p(s) = 0.
-6, 0, 2
Let 95*p**3 + 5/2*p**4 + 1585/2*p**2 - 2300*p - 3000 = 0. What is p?
-20, -1, 3
Factor x + 1/9*x**2 + 8/9.
(x + 1)*(x + 8)/9
Suppose 0 = 3*x - 283 - 77. What is v in 110*v**2 - 19*v**3 - 15*v**4 + x + 26*v**3 + 260*v - 32*v**3 = 0?
-2, -2/3, 3
What is o in 38*o - 11562*o**3 - 13*o**4 + 34*o + 11519*o**3 - 15*o**2 - o**5 = 0?
-8, -3, 0, 1
Let r(s) be the third derivative of 59/180*s**5 + 0*s + 103*s**2 + 11/420*s**7 + 1/4*s**3 + 1/504*s**8 + 2/15*s**6 + 5/12*s**4 + 0. Solve r(w) = 0 for w.
-3, -1, -1/4
Let p = 2214 + -6770/3. Let n = -628/15 - p. Factor -4/5 + 3/5*a**2 + 1/5*a**4 - 4/5*a**3 + n*a.
(a - 2)**2*(a - 1)*(a + 1)/5
Let h(o) be the third derivative of o**8/192 - 59*o**7/210 - 103*o**6/60 - 493*o**5/120 - 479*o**4/96 - 37*o**3/12 - 1468*o**2. What is r in h(r) = 0?
-1, -2/7, 37
Factor -136*m**3 + 2*m**4 - 1076135 - 426*m**2 + 1076135.
2*m**2*(m - 71)*(m + 3)
Let k(d) be the second derivative of 0 - 7/90*d**5 - 5/36*d**4 + 2/9*d**3 + 9*d - 21/2*d**2. Let q(b) be the first derivative of k(b). Factor q(g).
-2*(g + 1)*(7*g - 2)/3
Let r(m) = -10*m**2 - 166*m - 240. Let i be r(-15). Suppose 0 + 3/8*t**2 + i*t - 1/8*t**5 + 1/8*t**3 - 3/8*t**4 = 0. Calculate t.
-3, -1, 0, 1
Let v = -862 - -860. Let z be v/(0 - 2)*957/203. Factor 9/7*l**3 - 9/7*l**2 - z*l + 3/7*l**4 - 18/7.
3*(l - 2)*(l + 1)**2*(l + 3)/7
Suppose 155/7*q**2 + 39/7*q + 0 - 155/7*q**4 + 4/7*q**5 - 43/7*q**3 = 0. What is q?
-1, -1/4, 0, 1, 39
Let s(a) be the third derivative of 7*a**2 + 0*a - 1/2310*a**7 - 1/132*a**5 + 1/330*a**6 + 1 + 0*a**3 + 1/132*a**4. Determine c so that s(c) = 0.
0, 1, 2
Let d(m) = m**3 + m**2 - 4*m - 4. Let r = 104 - 17. Let q = 80 - r. Let g(z) = -z**3 - z**2 + 4*z + 4. Let x(k) = q*g(k) - 6*d(k). Factor x(f).
(f - 2)*(f + 1)*(f + 2)
Let l be 398/3 + 2/(-3). Let j be 15/(-35) + l/14 + -6. Suppose -4/13*y**j + 0 + 0*y**2 + 2/13*y + 0*y**4 + 2/13*y**5 = 0. What is y?
-1, 0, 1
Let n be 2/(-4)*35/(-5)*-4. Let d be (-3)/2*(n - 55/(-4)). Factor 3/2 - 3/2*o + d*o**2.
3*(o - 2)**2/8
Let f(n) be the second derivative of -n**6/80 + 17*n**5/40 - 11*n**4/4 + 7*n**3 - 65*n**2/2 + 319*n. Let a(t) be the first derivative of f(t). Factor a(u).
-3*(u - 14)*(u - 2)*(u - 1)/2
Suppose f - 447 = 4*s, -s + 1259 = 2*f + 410. Suppose -6*m = 403 - f. Find y such that 4/7*y**m - 20/7*y**2 + 0 - 4/7*y**3 - 12/7*y = 0.
-1, 0, 3
Let k(h) = -h**3 + 5*h**2 + 12*h + 20. Let s be k(7). Let l(j) be the first derivative of -7/4*j - j**2 - 1/12*j**3 - s. Factor l(r).
-(r + 1)*(r + 7)/4
Let -2260*o**3 + 4521*o**3 - 179*o**2 - 152*o - 2270*o**3 = 0. Calculate o.
-19, -8/9, 0
Let r be ((-37)/148)/((-2835)/12). Let o(f) be the third derivative of 0*f**4 - 6*f**2 + 0*f**3 + 0*f - 1/270*f**5 - r*f**7 - 1/270*f**6 + 0. Factor o(l).
-2*l**2*(l + 1)**2/9
Let s be 6/4*(-1142182)/(-237). What is u in 7229 - s - 25*u**2 - 5*u**3 = 0?
-5, 0
Let v(o) = o**4 - 5*o**3 - 2*o**2 + 3*o. Let z(k) = -k**4 + 6*k**3 + 3*k**2 - 4*k. Let r = -257 + 261. Let a(f) = r*v(f) + 3*z(f). Factor a(p).
p**2*(p - 1)**2
Let d be 0 - (6 - (-27808)/(-28)). Let m = -987 + d. Find h such that m*h**2 - 1/7 + 0*h = 0.
-1, 1
Let p(k) be the first derivative of -k**4 + 888*k**3 - 295704*k**2 + 43764192*k - 642. Let p(f) = 0. What is f?
222
Let x be 8140/10656 + 4/32. Let o be (-1)/4 + (-65)/(-20). Let 4/9*j + 2/9*j**4 - 4/9*j**o - x*j**2 + 2/3 = 0. Calculate j.
-1, 1, 3
Let r be 340/(-255)*(-3)/(-2). Let b(k) = -k - 1 + 1. Let o(i) = -i**2 + 4*i - 2. Let g(v) = r*b(v) - 2*o(v). Factor g(j).
2*(j - 2)*(j - 1)
Let h(o) be the first derivative of -o**6/54 - 2*o**5/5 + 10*o**4/9 - 2980. Factor h(l).
-l**3*(l - 2)*(l + 20)/9
Let b(g) = 4*g**2 - 24*g + 8. Let m(u) = u**2 + 4*u + 4. Let n be m(-3). Let y(s) = -2 + 4 - 3 + 0. Let r(j) = n*b(j) + 8*y(j). Let r(x) = 0. Calculate x.
0, 6
Find b, given that -b - 47*b**2 - 330 + 323*b**2 + 93*b**2 + b**3 - 39*b**2 = 0.
-330, -1, 1
Let y(z) be the third derivative of 5*z**8/12 + 1345*z**7/42 + 829*z**6/4 + 20*z**5/3 - 220*z**4/3 - 9991*z**2. Solve y(h) = 0.
-44, -4, -2/7, 0, 1/4
Let m(f) be the second derivative of 1/84*f**7 + 0*f**2 + 0 + 0*f**3 - 51*f - 1/40*f**5 - 1/24*f**4 + 1/60*f**6. Find r such that m(r) = 0.
-1, 0, 1
Let y(x) be the third derivative of x**6/90 - 17*x**5/135 - x**4/2 - 14*x**3/27 - 39*x**2 + 2*x. Suppose y(s) = 0. What is s?
-1, -1/3, 7
Suppose 0 = f - 0*f - 4. Suppose -138*t = -18*t - 32*t. Let t + 102*w**3 + 88/3*w**2 + 8/3*w + 108*w**f = 0. What is w?
-1/2, -2/9, 0
Let v(w) be the first derivative of 1/20*w**4 + 16/5*w + 4/5*w**2 + 64 - 7/15*w**3. Find p, given that v(p) = 0.
-1, 4
Let k(i) be the first derivative of 0*i**2 + 0*i + 1/90*i**6 - 31 - 29/3*i**3 + 0*i**5 - 1/6*i**4. Let l(z) be the third derivative of k(z). Factor l(n).
4*(n - 1)*(n + 1)
Suppose -24 = -4*p + 4*v, -9 = 3*p - 5*v - 29. Suppose -p + 15 = -5*w - 4*r, 0 = 5*w + 2*r. Factor -224*k + 15*k**2 + 25*k**2 - 4*k**w + 324*k**3 + 64.
4*(k + 1)*(9*k - 4)**2
Let j(i) be the first derivative of i**4/54 + 28*i**3/9 + 196*i**2 + 89*i - 301. Let a(m) be the first derivative of j(m). Solve a(p) = 0 for p.
-42
Let x be (-2)/(-4)*(119/21 + -5). Suppose 7/3*w**2 + x*w**3 + 4 + 16/3*w = 0. What is w?
-3, -2
Suppose 3*f - 3*z = 9, 48*z - 12 = -4*f + 50*z. Let v(h) be the first derivative of -2/27*h**f + 1/3*h**2 - 20 + 0*h. Let v(t) = 0. Calculate t.
0, 3
Let j(p) be the third derivative of -2*p**2 + 4/315*p**7 + 0*p**3 + 0*p**4 - 1/504*p**8 + 0 + 2*p + 0*p**5 - 1/45*p**6. Let j(b) = 0. What is b?
0, 2
Let z be 2145/130*(-4)/(-42) - (-10)/7. Factor -2/3*r**z + 0*r**2 + 0 + 0*r + 5*r**4.
r**3*(15*r - 2)/3
Suppose -1/6*g**2 - 448/3*g - 100352/3 = 0. Calculate g.
-448
Let u(i) = -5*i**2 + 181*i + 210. Let x(y) = -21*y**2 + 711*y + 840. Let r(a) = 9*u(a) - 2*x(a). Factor r(z).
-3*(z - 70)*(z + 1)
Let g(i) be the first derivative of i**4/3 - 34*i**3 - 104*i**2 + 231*i + 66. Let a(m) be the first derivative of g(m). Factor a(j).
4*(j - 52)*(j + 1)
Let t(y) be the first derivative of 2/9*y**3 + 13*y + 1/36*y**4 + 1/2*y**2 + 3. Let q(v) be the first derivative of t(v). Factor q(u).
(u + 1)*(u + 3)/3
Let g = 10572 - 211439/20. Let k(t) be the third derivative of -3/2*t**3 + 0*t - g*t**5 - 1/2*t**4 + 0 - 18*t**2. Let k(n) = 0. Calculate n.
-3, -1
Let j(b) be the third derivative of b**7/1680 + 73*b**6/960 - 15*b**5/32 + 227*b**4/192 - 19*b**3/12 - 5369*b**2. Factor j(z).
(z - 1)**3*(z + 76)/8
Let q(k) be the second derivative of 1/50*k**6 + 2/15*k**3 + 0*k**2 - 34*k + 2 - 1/20*k**4 + 1/210*k**7 - 1/20*k**5. Factor q(n).
n*(n - 1)**2*(n + 1)*(n + 4)/5
Let b = 1829/2100 + -47/300. Let -1/7*i**2 + 6/7 - b*i = 0. What is i?
-6, 1
Let q(f) = 3*f + 23. Let c be q(-7). Solve 35*x**2 - 5*x**4 - 30*x**c + 0*x**4 = 0 for x.
-1, 0, 1
Let i(x) be the third derivative of -x**5/450 + 47*x**4/180 - 2*x**3 + 9*x**2 + 3*x. Factor i(n).
-2*(n - 45)*(n - 2)/15
Let n be -295 + 16 + 90/(-10). Let r be 2/16 - 6/(n/6). Solve 0*b - r*b**3 + 1/4*b**2 + 0 = 0.
0, 1
Let r(g) be the third derivative of g**6/24 + 65*g**5/12 + 530*g**4/3 + 7840*g**3/3 + 2804*g**2 - 2. Find h, given that r(h) = 0.
-49, -8
Let b(j) = -3*j**3 + 21*j**2 + 16*j - 2. Let m(s) = s**3 - 3*s**2 + 1. Let p(z) = -3*b(z) - 6*m(z). Factor p(o).
3*o*(o - 16)*(o + 1)
Let w = -134755 - -134770. Solve 2000 + 1/4*y**3 + w*y**2 + 300*y = 0 for y.
-20
Factor z - 139*z**2 - 46*z - 50 + 422*z**2 - 140*z**2 - 138*z**2.
5*(z - 10)*(z + 1)
Let m(b) = 18*b + 327. Let c be m(-18). Factor 5*j**2 + 42*j - c*j**2 - 5*j**2 + 7*j**2 - j**2.
3*j*(j + 14)
Factor -1/6*c**2 - 147/2*c + 0.
-c*(c + 441)/6
Let a(p) = -9*p**2 + 60*p + 65. Let z(w) be the third derivative of w**5/6 - 5*w**4/2 - 65*w**3/6 + 76*w**2. Let v(b) = 5*a(b) + 4*z(b). Factor v(u).
-5*(u - 13)*(u + 1)
Let q(g) be the second derivative of 1/100*