- 12*i**2 + 7*i. Let z(n) be the second derivative of o(n). What is q in z(q) = 0?
-2, 0
Let a be (-1)/1 + 2 - -1. Suppose -4*r + 15 = -3*f, -3*r - 49*f = -51*f - 10. Factor 6/5*q**3 - 12/5*q**a + r + 0*q.
6*q**2*(q - 2)/5
Let c(u) = 45*u + 5. Let w(z) = -5 - 8 - 43*z + 7 + z**2. Let r(o) = 6*c(o) + 5*w(o). Let r(x) = 0. Calculate x.
-11, 0
Let s = 3/854 - 35229/427. Let f = -81 - s. Let 5*c + 3/2*c**2 + f = 0. Calculate c.
-3, -1/3
Let h(d) be the second derivative of d**6/180 + 13*d**5/30 - 55*d**4/18 + 56*d**3/9 - 1120*d. Factor h(r).
r*(r - 2)**2*(r + 56)/6
Suppose 2/13*d**2 - 294/13 + 92/13*d = 0. What is d?
-49, 3
Let w = 1444 - 1444. Let x(y) be the third derivative of 0*y + 16*y**2 + 1/96*y**4 - 1/480*y**5 + 0 + w*y**3. Factor x(k).
-k*(k - 2)/8
Let v be (-4)/(-24) - 2/(-12). Let r(g) = 4*g**2 + 56*g + 2. Let q be r(-14). Let -v + 4/9*k - 1/9*k**q = 0. Calculate k.
1, 3
Let z(m) = 2*m**2 + 8*m - 28. Let h(n) = -17. Let w(f) = -2*h(f) + z(f). Factor w(v).
2*(v + 1)*(v + 3)
Let 19/5*d**2 + 28 + 104/5*d + 1/5*d**3 = 0. What is d?
-10, -7, -2
Let s(m) be the first derivative of 75*m**4/4 + 860*m**3/3 + 1275*m**2/2 + 490*m - 850. Factor s(w).
5*(w + 1)*(3*w + 2)*(5*w + 49)
Let f(h) be the third derivative of -8*h**2 + 1/15*h**5 - 8*h**4 + 0 - 98/3*h**3 + h. Factor f(v).
4*(v - 49)*(v + 1)
Suppose 48*i - 68*i = -120. Suppose 62*b**2 - 65*b**2 - 6 - i*b + 3 = 0. What is b?
-1
Let i(z) be the third derivative of -31*z**6/80 + 53*z**5/20 - 13*z**4/4 - 18*z**3 + 222*z**2 + 7. Factor i(o).
-3*(o - 2)**2*(31*o + 18)/2
Suppose -3*l = -2*l - 76. Factor -18*z**3 + l*z**2 - 59*z + 48 + 2*z**4 - 29*z - 16*z**2.
2*(z - 3)*(z - 2)**3
Let q = -300 - -297. Let f be 1/(4/q) - 168/(-224). Solve 2/5*y + f + 1/5*y**2 = 0.
-2, 0
Let o(f) = 2*f**2 + 118*f - 1376. Let z be o(-69). Let d(l) be the second derivative of 0 + 0*l**2 - 5/2*l**3 - 23*l - 1/4*l**z. Determine b so that d(b) = 0.
-5, 0
Factor -14/3 - 44/3*d - 47/6*d**2 - 5/6*d**3.
-(d + 2)*(d + 7)*(5*d + 2)/6
Suppose 2*r + 0 = 3*v - 1, 5*r = 5*v + 5. Factor 4*p**5 - 23*p**2 + 7*p**4 - 12 - 18*p**5 + 8*p**5 + 32*p + 5*p**5 - 3*p**v.
-(p - 6)*(p - 1)**3*(p + 2)
Let g(b) = 1579*b**2 - 1648*b - 3. Let p(m) = -1578*m**2 + 1629*m + 3. Let l(j) = 3*g(j) + 4*p(j). Factor l(a).
-3*(a - 1)*(525*a + 1)
What is f in -72/11*f + 0 - 2/11*f**3 + 40/11*f**2 = 0?
0, 2, 18
Let f(i) be the second derivative of -i**5/12 - 25*i**4/18 + 265*i**3/18 + 385*i**2 + 40*i + 35. Factor f(a).
-5*(a - 7)*(a + 6)*(a + 11)/3
Factor 37845 - 865*j**2 - 2909*j - 15733*j - 5*j**3 - 18333*j.
-5*(j - 1)*(j + 87)**2
Let r(s) be the third derivative of 7*s**6/90 - 88*s**5/45 - 25*s**4/2 + 68*s**3 - 28*s**2 - 13*s. Determine g so that r(g) = 0.
-3, 1, 102/7
Let t(q) be the first derivative of -q**5/5 + q**4/3 + 2*q**3/3 - 2*q**2 - 114*q - 95. Let w(i) be the first derivative of t(i). Find d, given that w(d) = 0.
-1, 1
Let j(z) be the first derivative of 4*z**3/21 + 208*z**2/7 - 60*z + 113. Let j(d) = 0. Calculate d.
-105, 1
Let b = 1201 - 4777/4. Let s(v) be the first derivative of -9 - b*v**4 - 15*v**3 - 6*v - v**5 - 29/2*v**2. Determine i so that s(i) = 0.
-3, -1, -2/5
Let r(s) = s**3 - s**2 + 1. Let f = -5 + 7. Let v(p) = -31*p**2 + 3*p + 74*p**f - 3 - 7*p**3 - 3*p. Let a(u) = 3*r(u) + v(u). Factor a(n).
-4*n**2*(n - 10)
Let r(c) be the third derivative of c**5/150 - 88*c**4/3 + 154880*c**3/3 + 547*c**2. What is g in r(g) = 0?
880
Let n(f) be the first derivative of -f**9/4032 - f**8/2240 + f**7/560 + 34*f**3/3 - 8. Let b(h) be the third derivative of n(h). Solve b(y) = 0.
-2, 0, 1
Suppose 2*r = -3*r - 4*n - 213, -4*r - 189 = -3*n. Let h be (9/(-12))/(r/24). Factor 0*l**2 + 0*l + 0 - h*l**4 - 2/5*l**3.
-2*l**3*(l + 1)/5
Suppose 33*m - 24*m - 36 = 0. Factor 20*o + 40*o**3 + 46*o**m - 40*o**2 - 4 + 48*o**4 + 31*o**4 + 4*o**5 - 145*o**4.
4*(o - 1)**5
Suppose -4 = -2*s, 3*s - 26 = -0*z - 4*z. Factor 0*l**4 + z*l**4 - 110*l + 40*l**2 + 110*l - 30*l**3.
5*l**2*(l - 4)*(l - 2)
Let c = -1555 - -1616. Suppose -c*i + 116 = -3*i. Suppose 0 - p**i + 2/5*p = 0. Calculate p.
0, 2/5
Let r(i) be the first derivative of -74*i**5/25 + 116*i**4/5 - 262*i**3/5 + 18*i**2 + 14262. Factor r(d).
-2*d*(d - 3)**2*(37*d - 10)/5
Suppose 61*s**2 + 99562*s**5 + 12*s**4 + 19*s**4 - 100*s**3 - 9*s**2 - 99559*s**5 = 0. Calculate s.
-13, 0, 2/3, 2
Suppose x - 4*z - 24 = -9, 8*z + 39 = 5*x. Let p(i) be the first derivative of -2/5*i**4 + 0*i - 2/5*i**2 + 2/25*i**5 + 2/3*i**x + 10. Factor p(w).
2*w*(w - 2)*(w - 1)**2/5
Factor -2*c**4 - 1503549*c**2 - 3112*c**3 - 1207458 - 1650376*c + 289873*c**2 - 299916*c - 467732*c.
-2*(c + 1)**2*(c + 777)**2
Let z(t) be the second derivative of t**8/336 - t**6/36 + 5*t**4/24 + 49*t**3/6 + t - 21. Let w(y) be the second derivative of z(y). Let w(c) = 0. What is c?
-1, 1
Let f(o) = 4*o**2 - 19*o + 64. Let t(s) = s - 14. Let y be t(18). Let v be (2/y)/(1/8). Let q(j) = -5*j**2 + 20*j - 64. Let w(b) = v*f(b) + 3*q(b). Factor w(p).
(p - 8)**2
Suppose -4*n = -6*b + 3*b - 23, -3*b = -3*n + 21. Suppose 33*u**5 - 12*u + 8*u**3 - 16*u**4 - 29*u**5 + 399*u**2 - 383*u**n = 0. Calculate u.
-1, 0, 1, 3
Suppose 28/11*n**2 - 2/11*n**3 - 2/11*n**5 + 16/11 - 8/11*n**4 + 40/11*n = 0. What is n?
-2, -1, 2
Let l(q) be the third derivative of -q**7/8820 + 11*q**6/2520 - q**5/42 + 13*q**4/24 - q**3/3 - 83*q**2. Let p(j) be the second derivative of l(j). Factor p(m).
-2*(m - 10)*(m - 1)/7
Let m = -207764 - -1038948/5. Factor -m*o + 96/5*o**2 - 24/5*o**3 + 2/5*o**4 + 0.
2*o*(o - 4)**3/5
Suppose 9*u = 2*u + 581. Let z = u + -81. Factor -z*r**3 + r**2 + 268 - 272 + r**3 + 4*r.
-(r - 2)*(r - 1)*(r + 2)
Let b = -18512 - -92578/5. Let k be (-1)/(-3)*(14 + 1). Factor -2*l**k + 2/5*l**2 - b*l**3 - 26/5*l**4 + 4/5*l + 0.
-2*l*(l + 1)**3*(5*l - 2)/5
Let c = 70985/14 - 5070. Let j(l) be the first derivative of -1/28*l**4 + 2/7*l + 16 + 4/21*l**3 - c*l**2. What is i in j(i) = 0?
1, 2
Let x(v) = v**2 + 7*v - 57. Let f be x(-16). Solve -13*w + 89*w**2 - w**3 - f*w**2 + 12*w = 0 for w.
0, 1
Let s(j) be the first derivative of 1/4*j**2 + 11/20*j**5 + 0*j + 73 - 1/8*j**4 - 11/12*j**3. What is w in s(w) = 0?
-1, 0, 2/11, 1
Let a be 1802/408 - (8/(-6) - (-975)/900). Factor 2/9*g**3 - 4 - 16/9*g**2 + a*g.
2*(g - 3)**2*(g - 2)/9
Let c(d) = -d - 2. Let f be c(-7). Suppose y = -m + f, -y - m - m = -6. Factor x**y - 571 + 571.
x**4
Let q(l) be the second derivative of 2*l**7/21 - 2*l**6/5 - 39*l**5/5 - 29*l**4/3 + 100*l**3 + 288*l**2 + 7*l + 236. Find b such that q(b) = 0.
-3, -1, 2, 8
Let i = -1333 - -836. Let x = i + 501. Suppose -1888/7*n**x + 1692/7*n**3 + 64*n**5 - 20*n - 136/7*n**2 + 24/7 = 0. What is n?
-2/7, 1/4, 1, 3
Let u = -3 - -14. Let w be 10/(-25) - 66/(-15). Factor -2*f**2 - f**2 - u*f**w + 12*f**4 - 2*f**3.
f**2*(f - 3)*(f + 1)
Let w be 3/6*3/9*0. Suppose 6*h = -5*o + h, -5*o - 3*h = w. Let 0*b + 8/15*b**3 + 2/15*b**5 + 8/15*b**4 + 0*b**2 + o = 0. What is b?
-2, 0
Let j be ((-24)/32)/(3/(-8)). Factor -2*f**j - 88*f - 379 + 20*f - 199.
-2*(f + 17)**2
Let l(u) be the first derivative of 3*u**4/7 + 88*u**3/3 + 690*u**2/7 + 56*u + 98. Suppose l(j) = 0. Calculate j.
-49, -2, -1/3
Find d such that 7/2*d**2 - 49/4*d + 1/4*d**3 + 17/2 = 0.
-17, 1, 2
Let k(w) be the third derivative of w**5/300 + w**4/40 - 44*w**3/15 - 455*w**2 + 2*w. Suppose k(r) = 0. What is r?
-11, 8
Let v(i) be the first derivative of -i**4 - 70/3*i**3 + 0*i - 141 + 0*i**2 + 2/5*i**5. Suppose v(o) = 0. Calculate o.
-5, 0, 7
Let v(t) = 2*t**4 - t**3 + 2*t**2. Let r(j) = 5*j**4 + 19*j**3 - 30*j**2 - 88*j + 160. Let y(k) = r(k) - 3*v(k). Factor y(c).
-(c - 20)*(c - 2)**2*(c + 2)
Let j(x) be the second derivative of -2*x**6/15 - 283*x**5/5 - 19880*x**4/3 + 40328*x**3/3 + 2440*x. Factor j(r).
-4*r*(r - 1)*(r + 142)**2
Factor 3*a**3 - 6*a**2 - 5*a**5 - 51692*a**4 + 140 + 51542*a**4 + 285*a - 283*a**3 + 16*a**2.
-5*(a - 1)*(a + 1)**3*(a + 28)
Let x(u) be the second derivative of -11/9*u**4 - 16/3*u**2 + 2/45*u**6 + 0 + 109*u - 4*u**3 + 0*u**5. Determine c, given that x(c) = 0.
-2, -1, 4
Let z(h) be the second derivative of 4*h**6/15 + h**5/5 - 177*h. Factor z(m).
4*m**3*(2*m + 1)
Let g(q) = 10*q + 4*q**2 + 22 - 7*q**2 - 2*q + 13*q**2. Let m(w) = 4*w**2 + 3*w + 9. Let k(y) = 5*g(y) - 12*m(y). Factor k(r).
2*(r + 1)*