 + 21 = 0.
-5, 1
Let v = 364775 - 364772. Let t be (-175)/30*(-8)/14. Determine y so that 38/9*y**v - 4/3*y**2 + 4/9*y**5 - t*y**4 + 0 + 0*y = 0.
0, 1/2, 1, 6
Let z(o) be the first derivative of o**4/14 - 146*o**3/21 + 177. Factor z(u).
2*u**2*(u - 73)/7
Suppose -76/5*f**2 + 0 + 42/5*f**3 - 32/5*f + 76/5*f**4 - 2*f**5 = 0. Calculate f.
-1, -2/5, 0, 1, 8
Let i = 188333 + -188170. What is o in -3*o**5 - 307/3*o**3 - 100/3 - i*o**2 - 120*o - 29*o**4 = 0?
-10/3, -1
Suppose -1/4*a**3 + 0 - 3/2*a**2 + 27/4*a = 0. What is a?
-9, 0, 3
Let i(b) be the second derivative of -b**4/36 + 23*b**3/18 - 15*b**2 + 10801*b. What is z in i(z) = 0?
5, 18
Let i = 3214183/6 - 537947. Let s = 2250 + i. Factor 0 + 0*y + 0*y**3 - 2/3*y**2 + s*y**4.
y**2*(y - 2)*(y + 2)/6
Let l be (-1)/((-21)/(-12) - 2). Suppose -2*u - 2*d + 8 = 3*u, -l*d + 16 = 5*u. Factor 3*s - 6*s + 60*s**2 - 63*s**2 - s**3 + u - 1.
-(s + 1)**3
Let i = 14727/14 + -73607/70. Let s = 3 + 0. Factor 0 - 1/5*b**s + 3/5*b + i*b**2.
-b*(b - 3)*(b + 1)/5
Factor 18 + 22*z + 25/6*z**2 + 1/6*z**3.
(z + 1)*(z + 6)*(z + 18)/6
Let s(q) be the first derivative of 5*q**4/16 - 25*q**3/12 + 1305. Solve s(a) = 0.
0, 5
Let p(b) = -b**2 + 25*b + 9. Let d be p(27). Let h be 22/5 - (-3 + d/(-9)). Factor 8/5*v**3 - 4/5 + 0*v + h*v**2.
4*(v + 1)**2*(2*v - 1)/5
Suppose -i - 2*n - 3 = -4, -5 = 5*n. Factor 8 - 51*p**2 - 3*p**4 - 16 - 10 - 51*p - 21*p**i.
-3*(p + 1)**2*(p + 2)*(p + 3)
Let t(b) be the first derivative of 51 - 7/6*b**2 - 2/9*b**3 + 1/4*b**4 - 2/3*b. Factor t(p).
(p - 2)*(p + 1)*(3*p + 1)/3
Let w(j) be the first derivative of 6*j**3 - 53*j**2 + 88*j + 1046. Factor w(y).
2*(y - 1)*(9*y - 44)
Let x(u) = 110*u**3 + 1020*u**2 - 1530*u + 715. Let o(m) = 19*m**3 + 171*m**2 - 255*m + 119. Let q(z) = 35*o(z) - 6*x(z). Solve q(k) = 0.
1, 25
Let s(i) = -3*i**3 - 26*i**2 - 38*i - 174. Let c be s(-8). What is z in -2*z**c - 1/3*z + 5/3*z**4 + 1/3 + z**5 - 2/3*z**3 = 0?
-1, 1/3, 1
Let g(n) be the second derivative of -1/16*n**4 + 13*n - 27/4*n**2 + 0 - 11/8*n**3. Find i such that g(i) = 0.
-9, -2
Factor 34 + 1/3*n**2 - 53/3*n.
(n - 51)*(n - 2)/3
Let d be (4/8)/(10/40). Factor 174*y - y**2 + d*y**3 - y**3 - 180*y.
y*(y - 3)*(y + 2)
Let i(g) be the third derivative of 2*g**7/105 + 17*g**6/10 + 149*g**5/5 - 5191*g**4/6 + 6728*g**3 - 2*g**2 + 518*g. Factor i(v).
4*(v - 4)*(v - 3)*(v + 29)**2
Let c be (328/(-308) - -1)/((-888)/518). Let n(i) be the third derivative of -25*i**2 + 0 - 2/11*i**3 + 0*i - c*i**4 - 1/330*i**5. Suppose n(r) = 0. What is r?
-3, -2
Let b(p) be the second derivative of -1/15*p**6 + 1/10*p**5 - 28/3*p**3 + 0 + 16*p**2 + 2*p**4 + 161*p. Find z, given that b(z) = 0.
-4, 1, 2
Let k(g) be the second derivative of 2*g**5/15 + 29*g**4/18 + 55*g**3/9 + 4*g**2 - 17*g + 30. Factor k(t).
2*(t + 3)*(t + 4)*(4*t + 1)/3
Factor 164*h**3 - 20336*h - 30752/3 - 2/3*h**4 - 29762/3*h**2.
-2*(h - 124)**2*(h + 1)**2/3
Suppose -72 = 4*w - 80, 5*w = -2*t + 10. Let z(m) be the third derivative of 0 - 17*m**2 - 1/6*m**5 + t*m + 3*m**3 - 1/4*m**4 - 1/60*m**6. Solve z(d) = 0 for d.
-3, 1
Let k be 20/(-12)*12/(-10). Suppose 1 = -k*x + 3. What is w in -4*w + 7 - w**2 - 9 + x - 2 = 0?
-3, -1
Let z be (15/(-12) - -3) + (-676)/(-1040). Factor -28/5*x - 8/5*x**3 + z + 23/5*x**2 + 1/5*x**4.
(x - 3)*(x - 2)**2*(x - 1)/5
Let n = 145762 + -145759. Let 0 - 2/9*k**n + 2/9*k**2 + 4/9*k = 0. What is k?
-1, 0, 2
Let d be -3 - 3/(-1) - (18/((-180)/74) - -6). Find s, given that -1/5*s**2 + 0 - d*s = 0.
-7, 0
Let v be (15/9 - (-540)/(-108))/(1/(-6)). Let p(m) be the second derivative of 1/5*m**3 - 12/5*m**2 + 0 + 1/20*m**4 - v*m. Determine n, given that p(n) = 0.
-4, 2
Let q be 1 + (-19)/21 - 96*245/(-12348). Solve 1/5*z**5 + 0 + 0*z + 0*z**q - 2/5*z**4 + 0*z**3 = 0.
0, 2
Let m = 662 - 660. Suppose 2*z + 5*s = 1, -m*z - z = -5*s - 14. Factor 6/5*l**2 - 2/5*l**z - 6/5*l + 2/5.
-2*(l - 1)**3/5
Suppose y + 31 = 3*q, -2*y - 2 - 5 = -q. Let g(i) = -i**3 + 12*i**2 - 18*i + 79. Let w be g(q). Factor 1/4*d**w + 3/2*d + 5/4.
(d + 1)*(d + 5)/4
Let c(m) = -139*m**2 + 1925*m + 68. Let h(v) = -70*v**2 + 962*v + 36. Let u(s) = 4*c(s) - 9*h(s). Factor u(n).
2*(n - 13)*(37*n + 2)
Let b be (7/(-2) - -1)*(-18)/15. Suppose -k + 5*k + 5*n + 5 = 0, 0 = b*k + 3*n + 3. Factor 3*t**4 + k*t**4 - 14*t**5 + 17*t**5.
3*t**4*(t + 1)
Suppose 3*b + 5*r - 23 = 0, -r + 6 = 2*b - 0. Let -5*g**3 + 1 + 16*g**2 - 28*g**2 - b - 48*g**2 - 160*g = 0. Calculate g.
-8, -4, 0
Let c(b) = b**2 + 4*b - 1. Let g(z) = 10*z**2 + 38*z - 9. Let j(n) = -18*c(n) + 2*g(n). Solve j(w) = 0.
-2, 0
Let z(w) be the second derivative of -4/3*w**3 + 1/12*w**4 - 62*w + 0 + 0*w**2. Factor z(b).
b*(b - 8)
Factor 26*y**4 - 786*y**2 + 904*y**2 + 2*y**5 + 29*y + 94*y**3 + 19*y.
2*y*(y + 1)**2*(y + 3)*(y + 8)
Let r(o) be the third derivative of o**8/36960 - o**7/1980 + o**6/660 + 121*o**4/24 - 2*o**2 - 12*o. Let l(z) be the second derivative of r(z). Factor l(h).
2*h*(h - 6)*(h - 1)/11
Let l(g) = -15*g**2 + 60910*g - 92842090. Let t(u) = 22*u**2 - 91368*u + 139263135. Let j(c) = -7*l(c) - 5*t(c). Factor j(x).
-5*(x - 3047)**2
Let z = 6/1345 - -35203/8070. Let i = z - 19/6. Suppose 3/5*y + i - 6/5*y**2 - 3/5*y**3 = 0. What is y?
-2, -1, 1
Let y = 181 + -176. Factor -37*k + 30*k**2 + 12 + y*k**3 + 71*k + 18 + 21*k.
5*(k + 1)*(k + 2)*(k + 3)
Let k be 3 + 5 + (-8 - 3/(-360)). Let x(z) be the third derivative of 0*z**3 + k*z**6 + 0*z - 11*z**2 + 0*z**5 + 0 + 1/630*z**7 - 1/18*z**4. Factor x(m).
m*(m - 1)*(m + 2)**2/3
Let j be 2448/3978 + ((-60)/(-13))/(-10). Find y, given that -18/13*y + 2*y**2 - 810/13 + j*y**3 = 0.
-9, 5
Factor 0 + 2/9*w**3 + 0*w - 22/9*w**2.
2*w**2*(w - 11)/9
Let x(c) be the second derivative of c - 5/21*c**3 + 9 + 6/7*c**2 + 1/42*c**4. Factor x(i).
2*(i - 3)*(i - 2)/7
Let p(l) be the second derivative of l**4/6 - l**3/3 - 56*l**2 + 2356*l. Factor p(m).
2*(m - 8)*(m + 7)
What is k in -211*k**4 - 22 + 17*k**2 + 205*k**4 - 109*k**2 - 75*k + k**5 - 46*k**3 = 0?
-2, -1, 11
Let p = -691994 - -691999. Factor 3564/5*d + 4992/5*d**4 - 486/5 + 2736/5*d**3 + 1024/5*d**p - 1566*d**2.
2*(d + 3)**2*(8*d - 3)**3/5
Solve 10/3*m**2 - 28/3*m + 8 - 1/3*m**3 = 0 for m.
2, 6
Let x(p) be the third derivative of 1/135*p**5 + 2*p**2 + 7/54*p**4 + 0*p + 0*p**3 - 162. Factor x(c).
4*c*(c + 7)/9
Determine l so that -66*l + 3125*l**3 - 3128*l**3 + 177*l**2 - 102*l - 348 = 0.
-1, 2, 58
Let d(n) = -n**3 + 8*n**2 - 5*n + 5. Let q(w) = -8*w**2 + 4*w - 4. Let k = -204 + 200. Let j(f) = k*d(f) - 5*q(f). Factor j(l).
4*l**2*(l + 2)
Suppose -71 = 9*k + 10. Let z be 15/k*(-2 - (-28)/15). Factor -8/9 + z*q**3 + 2*q - 4/3*q**2.
2*(q - 4)*(q - 1)**2/9
Let h(w) be the third derivative of -w**5/15 + 733*w**4/3 - 1074578*w**3/3 + 524*w**2. Determine k, given that h(k) = 0.
733
Let t(b) be the third derivative of b**6/40 + 31*b**5/20 + 27*b**4/2 - 3637*b**2. Factor t(y).
3*y*(y + 4)*(y + 27)
Let q(f) be the third derivative of -f**7/1680 + f**6/40 - 113*f**5/480 + 15*f**4/32 - 2*f**2 + 2936*f. Let q(g) = 0. What is g?
0, 1, 5, 18
Suppose 0 = 3*g + 17*g - 1240. Let f = g + -928/15. Factor -f*u**2 + 2/5 + 4/15*u.
-2*(u - 3)*(u + 1)/15
Let i(r) = 10*r**2 - 196*r + 778. Suppose -4*b + 18 = -10*b. Let n(t) = -2*t**2 + 39*t - 156. Let x(v) = b*i(v) - 16*n(v). Determine q, given that x(q) = 0.
9
Let d = -30921 + 30963. Let r(i) be the first derivative of -3/25*i**5 + 3/10*i**6 + 1/5*i**3 + 0*i - d - 3/4*i**4 + 3/5*i**2. What is u in r(u) = 0?
-1, -2/3, 0, 1
Let t(v) be the second derivative of -16/3*v**2 - 7*v**4 + 0 - 1/9*v**6 + 217*v - 82/9*v**3 - 109/60*v**5. Find h such that t(h) = 0.
-8, -2, -1/2, -2/5
Let v be 618/515 - (-2)/1. Let g(h) be the first derivative of -v*h - 9/25*h**5 - 97/15*h**3 + 44/5*h**2 - 16 - 33/10*h**4. Let g(o) = 0. What is o?
-4, 1/3
Let x = 3430 + -44548/13. Suppose -v = -858*k + 862*k - 6, -21 = -k + 3*v. Suppose -16/13 + 88/13*z - 124/13*z**2 + x*z**k = 0. What is z?
2/7, 2/3, 2
Let z be 3/24 + 0 - (-141525)/280. Let q = 507 - z. Determine k so that -6/7*k**2 + 0*k - 4/7*k**4 + 0 + q*k**3 = 0.
0, 1, 3/2
Let f(t) = -4*t**2 + 3*t - 63. Let q be f(5). Let k be q/(-333) - 20/(-9). Find h such that -k*h + 8/3 + 2/3*h**2 = 0.
2
Let n(w) be the first derivative of -w**2/2 + 76. Let y be n(-2). Factor 0 + 2/5*g**y - 4/5*g**4 + 