- 1/3*s**v + 0*s**4. Factor g(j).
2*(j - 1)*(j + 1)
Suppose -58 = -5*d - 93. Let o(p) = 4*p**2 + 27*p + 23. Let q(l) = -8*l**2 - 55*l - 47. Let t(a) = d*o(a) - 3*q(a). Determine m, given that t(m) = 0.
-5, -1
Let n(z) = 3*z**3 + 5*z**2 + 20*z + 10. Let c(s) = -5*s**3 - 6*s**2 - 22*s - 9. Let g(w) = -4*c(w) - 6*n(w). Factor g(m).
2*(m - 6)*(m + 1)*(m + 2)
Let m(y) be the third derivative of -y**5/420 - y**4/21 - y**3/6 + 297*y**2. Let m(c) = 0. What is c?
-7, -1
Let s be (-1157)/(-910) - (-4)/(-56). Factor -s*u**2 - 3/5*u**3 + 0 + 0*u.
-3*u**2*(u + 2)/5
Factor -1/2*d**2 + 5/2*d - 3.
-(d - 3)*(d - 2)/2
Let d be -2 + -1 + 28/4. Factor -16*y**3 - 16*y + 4*y**4 - 5*y**d - 24*y**2 - 4 - 3*y**4.
-4*(y + 1)**4
Let k(b) be the first derivative of 9*b**4/4 - 7*b**3 + 15*b**2/2 - 3*b + 5. Let k(w) = 0. What is w?
1/3, 1
Let w(r) be the first derivative of 0*r + 1/20*r**5 - 3 - r**3 - r**2 + 1/8*r**4. Let q(c) be the second derivative of w(c). Factor q(k).
3*(k - 1)*(k + 2)
Let a(x) = -x**3 + 79*x**2 + 4*x - 313. Let p be a(79). Determine z so that -42*z**p + 9/2*z**2 - 42*z**5 + 3*z + 0 - 171/2*z**4 = 0.
-1, -2/7, 0, 1/4
Suppose 138*z = 140*z - 4. Factor -19 + 11 - 62 - 2 - z*b**2 - 24*b.
-2*(b + 6)**2
Suppose f = -4*b + 7 + 3, -4*b + f + 14 = 0. Factor -5*a**2 + 4*a**b + 20*a - 9 + 1 - 11*a**2.
4*(a - 2)*(a - 1)**2
Factor -4/3*t + 2 - 2/3*t**2.
-2*(t - 1)*(t + 3)/3
Suppose -6*c - 13 = 65. Let s = c + 15. Factor -6/5 + 8/5*r - 2/5*r**s.
-2*(r - 3)*(r - 1)/5
Suppose -3 = -l + 8. Suppose l - 2 = 3*r. Let -c**3 - 21*c**2 + 3 + 0*c**3 + 6*c + 5*c**3 + 8*c**r = 0. What is c?
-1/4, 1
Let v(g) be the third derivative of -g**7/105 + g**6/30 + 4*g**5/15 - 3*g**4/2 + 3*g**3 + 6*g**2 - 7*g. Determine f, given that v(f) = 0.
-3, 1, 3
Let k(a) = a**2 - 11*a + 6. Let v = -4 + 15. Let n be k(v). Find d, given that -n*d**2 + 7*d**3 - 2*d**4 + 2*d + 0*d**3 - d**3 = 0.
0, 1
Let p(i) be the second derivative of i**6/30 + 2*i**5/5 - i**4/12 - 4*i**3/3 + 8*i + 2. Factor p(w).
w*(w - 1)*(w + 1)*(w + 8)
Let d = 3625 - 25299/7. Let u = -12767/7 + 1831. Let -u*g**3 - 2/7*g**5 - d*g**2 - 8*g - 16/7 - 16/7*g**4 = 0. Calculate g.
-2, -1
Let p(h) be the second derivative of 0 + 3*h + 0*h**3 - 5/12*h**4 + 0*h**2. Determine l so that p(l) = 0.
0
Let y(b) be the second derivative of -b**4/3 + 50*b**3/3 + 52*b**2 + 270*b. What is x in y(x) = 0?
-1, 26
Let r = 18 + -16. Let m(c) = -6*c**2 - 16*c - 11. Let k(g) = g**2 + 3*g + 2. Let l(f) = r*m(f) + 11*k(f). Factor l(z).
-z*(z - 1)
What is r in -17*r**3 - 17*r**3 - 8 - 8 - 15*r**5 - 31*r**3 - 4 - 45*r**2 + 65*r**4 + 80*r = 0?
-1, 1/3, 1, 2
Find u, given that 2/15*u**4 + 0*u**3 - 2/5*u**2 + 0 + 4/15*u = 0.
-2, 0, 1
Let k(i) = -5*i**2 - 79*i + 23. Let n be k(-16). Let a(u) be the first derivative of n - 18/7*u + 6/7*u**2 - 2/21*u**3. Determine c so that a(c) = 0.
3
Let d(a) be the second derivative of -3*a**3 + 7/2*a**2 - 3/10*a**5 + 6*a + 0 - 13/8*a**4. Let c(r) be the first derivative of d(r). What is y in c(y) = 0?
-3/2, -2/3
Determine b, given that -4/7*b**3 - 2/7*b**2 + 2/7 + 3/7*b + 0*b**4 + 1/7*b**5 = 0.
-1, 1, 2
Suppose 4*j + 13 = -3. Let u be j/(-6) - (-60)/45. Find y such that 1/6*y + 1/2*y**5 - 1/3*y**4 - 2/3*y**3 + 0 + 1/3*y**u = 0.
-1, -1/3, 0, 1
Let p(h) = -3*h + 7. Let n(t) = 7*t - 13. Let f(v) = 2*n(v) + 5*p(v). Let z be f(6). Let 0*m - 2/3*m**2 - 5/6*m**5 + 13/6*m**4 + 0 - 2/3*m**z = 0. What is m?
-2/5, 0, 1, 2
Let b(c) be the third derivative of 2*c**7/105 + 19*c**6/120 + 19*c**5/60 - c**4/4 - 689*c**2. Factor b(d).
d*(d + 2)*(d + 3)*(4*d - 1)
Let p be (-23 - (-8)/4)*1/(-27). Let i(o) be the third derivative of 0 + p*o**4 + 0*o - 8/9*o**3 + 5*o**2 + 1/20*o**6 - 1/3*o**5. Find n such that i(n) = 0.
2/3, 2
Determine r so that -158279*r + 52740*r**2 + 18*r**4 + 41463*r + 21935 + 16481 - 2008*r**3 + 2*r**4 = 0.
2/5, 2, 49
Suppose 2 = 4*q + 3*a, 14*q = 15*q + 2*a + 2. Let f(w) be the first derivative of -3*w**3 - 3*w**q + 0*w - 3/4*w**4 + 7. Find x such that f(x) = 0.
-2, -1, 0
Suppose 2*p - 4 = -0*p - 3*g, 4 = 2*p - 5*g. Suppose 0 = 2*i - q + 6*q + 19, -q - 11 = -p*i. Factor 30*a**2 - 15*a - 12 - i*a**5 + 11 + 4 - 30*a**3 + 15*a**4.
-3*(a - 1)**5
Let h be (-1 - 4) + (-16 - 1043/(-49)). Suppose -2/7*d**3 - h*d**2 + 0 + 0*d = 0. What is d?
-1, 0
Suppose 30 + 6 = 6*m. Solve -2*l**2 + 65 - 41 - 56*l - 2*l**2 - m*l**2 = 0.
-6, 2/5
Let z(a) be the second derivative of a**6/45 - a**5/6 + 2*a**4/9 - 70*a. Solve z(p) = 0.
0, 1, 4
Let f(u) be the second derivative of -u**5/200 - 13*u**4/40 - 169*u**3/20 - 2197*u**2/20 - 19*u. Factor f(v).
-(v + 13)**3/10
Let l be (3/2)/(5/960*-9). Let s be 46/(-48) + 2 - l/(-48). Solve -15/8*k**2 + s*k + 3/4*k**5 + 0 - 21/8*k**4 + 27/8*k**3 = 0.
0, 1/2, 1
Let x(z) be the second derivative of 4/105*z**6 - 1/21*z**4 + 13*z + 2/35*z**5 + 1/147*z**7 + 0 - 2/7*z**2 - 5/21*z**3. Factor x(k).
2*(k - 1)*(k + 1)**3*(k + 2)/7
Determine z so that -15/4*z**4 + 0 + 9/2*z + 33/2*z**3 - 69/4*z**2 = 0.
0, 2/5, 1, 3
Let q(b) be the second derivative of -13 + 15*b**2 - b - 35/6*b**3 + 5/12*b**4. Factor q(u).
5*(u - 6)*(u - 1)
Let n(u) be the third derivative of -u**6/180 + u**4/12 + 2*u**3/9 + 2*u**2 + 47. Let n(k) = 0. Calculate k.
-1, 2
Suppose -7*d = 169 + 293. Let u be ((-6)/(-8))/(d/(-352)). Find i such that -4 - i**2 + 6*i + u*i - 3*i - 3*i = 0.
2
Suppose -4*b + 14 = 3*b. Let o(s) be the third derivative of 1/25*s**5 + 0 - 4*s**b - 3/175*s**7 + 7/200*s**6 + 0*s + 1/5*s**3 - 7/40*s**4. Solve o(i) = 0.
-1, 1/2, 2/3, 1
Let h(v) be the second derivative of v**8/36960 - v**7/3465 - v**6/3960 + v**5/165 + v**4 - 24*v. Let b(x) be the third derivative of h(x). Factor b(s).
2*(s - 4)*(s - 1)*(s + 1)/11
Let v(s) be the second derivative of 0*s**2 - 2/105*s**7 - 14*s + 0*s**3 + 1/15*s**4 - 3/25*s**5 + 2/25*s**6 + 0. Factor v(i).
-4*i**2*(i - 1)**3/5
Let h be (15*(-6)/(-9))/(-2). Let k be 36/1*18/(-945)*h. Factor -16/7*y**2 + 4/7*y + 0 + k*y**3 + 4/7*y**5 - 16/7*y**4.
4*y*(y - 1)**4/7
Factor 108/7*h - 3/7*h**2 + 111/7.
-3*(h - 37)*(h + 1)/7
Let j(s) be the first derivative of s**3/3 + 12*s**2 - 53. Factor j(d).
d*(d + 24)
Let g(j) = -j**3 - 5*j**2 - 31*j + 48. Let x(d) = -d**2 + d - 1. Let r(o) = g(o) + 4*x(o). Let b(l) be the first derivative of r(l). Factor b(h).
-3*(h + 3)**2
Suppose -2*a = a. Suppose -3 = -2*y - 3*b, 0 = 8*y - 11*y + 5*b + 14. Let -2/3*o**y + a - 4/3*o**2 + 0*o = 0. What is o?
-2, 0
Find o such that 37*o**2 - 69*o - 3*o**3 - 10*o**2 + 84*o - 48*o**3 + 9*o**4 = 0.
-1/3, 0, 1, 5
Let q = -11927/11 + 1085. Suppose -q*x - 2/11*x**2 - 6/11 = 0. What is x?
-3, -1
Let f(m) = m**3 + 0*m + m**4 + 2*m**3 - 2*m**3 + m - m**2. Let a(t) = t**4 + 24*t**3 - 19*t**2 + 10*t. Let g(k) = -5*a(k) + 40*f(k). Factor g(u).
5*u*(u - 1)**2*(7*u - 2)
Factor 2/5*m**3 + 26/5 - 10*m + 22/5*m**2.
2*(m - 1)**2*(m + 13)/5
Let m(i) be the first derivative of i**4 + 4*i**3 - 10*i**2 - 7 + 8*i - 4/5*i**5. Find a, given that m(a) = 0.
-2, 1
Let r(m) = 10*m**3 - 2*m**2 + 2*m - 22. Let t(j) = 2*j**3 - j**2 - j - 1. Let i(n) = r(n) - 6*t(n). Solve i(b) = 0.
-2, 2
Let u(i) = 2*i**4 - 68*i**3 - 196*i**2 - 204*i - 70. Let b(d) = d**3 - 2*d**2 - d. Let j(a) = 4*b(a) + u(a). Find p, given that j(p) = 0.
-1, 35
Suppose 0 = 34*a + a - 140. Let i(p) be the second derivative of -1/3*p**2 - 289/72*p**a + 17/9*p**3 + 0 - 3*p. Factor i(y).
-(17*y - 2)**2/6
Factor 22/7*o - 1/7*o**2 + 48/7.
-(o - 24)*(o + 2)/7
Let s = -713/30 + 145/6. Let b = -421/5 + 85. Factor b - 2/5*f**2 - s*f.
-2*(f - 1)*(f + 2)/5
Find t, given that -2/3*t**3 + 1000/3 - 400/3*t + 50/3*t**2 = 0.
5, 10
Let f(p) = p**4 + p**3 + p**2 + p + 1. Let d = -16 - 12. Let j(m) = -12*m**4 - 12*m**3 - 18*m**2 - 14*m - 14. Let k(a) = d*f(a) - 2*j(a). Factor k(o).
-4*o**2*(o - 1)*(o + 2)
Let l(o) = -5*o**4 - 101*o**3 - 3*o**2 - 3*o. Let v(m) = 5*m**4 + 99*m**3 + 2*m**2 + 2*m. Let u(t) = 2*l(t) + 3*v(t). Factor u(r).
5*r**3*(r + 19)
Let r = 1520 - 455999/300. Let m(i) be the third derivative of 1/1575*i**7 - r*i**6 + 0*i + 0*i**3 + 0 + 0*i**4 + 7*i**2 + 0*i**5. Suppose m(j) = 0. What is j?
0, 3
Let j(l) be the third derivative of 2/105*l**7 + 0*l + 0*l**3 + 5/588*l**8 - 1/70*l**6 - 1/21*l**4 + 0 - 1/15*l**5 + 11*l**2. Suppose j(c) = 0. What is c?
-1, -2/5, 0, 1
Let w(r) be the second derivative of -