4/5 - 2*o**2 + 63*o. Determine v so that m(v) = 0.
-1, 0, 12
Suppose 5*h = -3*v + 24, 2*h - 1 + 10 = 5*v. Factor 4*m - 5*m + 8*m**2 + 3*m + 4*m**h + 2*m.
4*m*(m + 1)**2
Find l, given that 2/3*l**2 + 2/9 - 2/9*l**3 - 2/3*l = 0.
1
Suppose 0 = 129*q - 158*q. Let u(i) be the second derivative of 0*i**2 + 2*i + q - 1/18*i**4 + 2/9*i**3. Determine d so that u(d) = 0.
0, 2
Let m(q) be the third derivative of 3*q**8/392 - 47*q**7/735 + 23*q**6/210 - 4*q**5/105 + 3*q**2 - 23. What is o in m(o) = 0?
0, 2/9, 1, 4
Let p(u) be the second derivative of 0*u**5 + 0*u**3 + 0*u**2 + 1/12*u**4 - 6*u - 1/30*u**6 + 0. Determine y so that p(y) = 0.
-1, 0, 1
Let y(j) = 2*j - 2. Let w be y(2). Suppose 0 = 6*t - 36 + 12. Suppose 0 + 6*f**2 + 5 - 5*f**w + t*f - 2 = 0. Calculate f.
-3, -1
Let x(b) be the first derivative of 3/4*b**4 + 0*b**2 - 12 + 1/2*b**6 + 0*b**3 - 6/5*b**5 + 0*b. Factor x(d).
3*d**3*(d - 1)**2
Suppose -32*q + 2*q**3 - 128/3 - 8/3*q**2 + 1/3*q**4 = 0. What is q?
-4, -2, 4
Factor -26/17*m - 12/17 - 16/17*m**2 - 2/17*m**3.
-2*(m + 1)**2*(m + 6)/17
Let y(k) = 2*k**2 - 66*k + 727. Let t(n) = -3*n**2 + 100*n - 1090. Let j(w) = 5*t(w) + 7*y(w). Find v, given that j(v) = 0.
19
Let d be 4/(-16)*0/3. Suppose -2*b + 3 + 3 = d. Determine o so that 24*o - 9*o**b - 12*o**3 + 4 - 15*o**4 + 3*o**2 - 3*o**5 + 8 = 0.
-2, -1, 1
Let 104*u**2 - 43 - 4*u**3 + 4*u - 88 + 27 = 0. Calculate u.
-1, 1, 26
Suppose -24*i + 17*i = -42. Find q, given that -8*q - i*q**2 - 6*q + 2*q**3 + 2*q**2 - 8 = 0.
-1, 4
Let x(p) be the third derivative of 0*p + 1/12*p**3 + 1/60*p**5 + 5/96*p**4 + 1/480*p**6 - 6*p**2 + 0. Factor x(r).
(r + 1)**2*(r + 2)/4
Let g = 18 - 14. Suppose 0 = 2*k - 4*z + 20, 0*k - 2*z + 10 = -g*k. Solve k - 2/11*u - 2/11*u**2 = 0.
-1, 0
Suppose 2*f - 28 = -5*z, 3*z - 20 = -f - z. Let -6*j**2 - 3*j**3 - j**f + 2*j + j**3 + 4 + 3*j**4 = 0. What is j?
-1, 1, 2
Let n(b) be the first derivative of 0*b + 0*b**2 - 1/4*b**4 + 31 - 1/20*b**5 - 1/3*b**3. Factor n(a).
-a**2*(a + 2)**2/4
Let j = 83 - 79. Let d(q) be the third derivative of 0*q**4 - 1/6*q**3 + 1/60*q**5 + 0 + 0*q - j*q**2. Factor d(u).
(u - 1)*(u + 1)
Let x(l) = l**4 - l**3 + l**2 + l. Let k(o) = 5*o**4 - 15*o**3 + 9*o**2 - 5*o. Let w(u) = 2*k(u) + 6*x(u). Factor w(z).
4*z*(z - 1)**2*(4*z - 1)
Let k = -8275/4 - -2069. Factor 1/8*h**2 + k + 3/8*h.
(h + 1)*(h + 2)/8
Let o be (-7 + 1)/(9/6). Let v be 6/o*5/(-10). Factor -v*q + 1/4 + 1/2*q**3 - 3/4*q**4 + 1/4*q**5 + 1/2*q**2.
(q - 1)**4*(q + 1)/4
Let h(z) be the third derivative of 0 - z**4 + 0*z + 0*z**3 + 1/20*z**5 + 28*z**2. Factor h(q).
3*q*(q - 8)
Let k(v) be the first derivative of -11/14*v**4 + 3/7*v**6 + 0*v - 9 - 24/35*v**5 - 4/21*v**3 + 0*v**2. Let k(g) = 0. Calculate g.
-1/3, 0, 2
Let c(q) = 2*q**4 + 19*q**3 + 7*q**2 + 15*q. Let z(h) = -2*h**4 - 20*h**3 - 4*h**2 - 16*h. Let y(l) = -6*c(l) - 5*z(l). Determine a so that y(a) = 0.
-5, -1, 0
Determine r, given that 73*r - 516*r - 414*r + 4096 + 48*r**2 - r**3 + 89*r = 0.
16
Let l(g) be the second derivative of 3*g**5/20 + 7*g**4/2 + 21*g**3/2 - 54*g**2 - 737*g. Factor l(i).
3*(i - 1)*(i + 3)*(i + 12)
Suppose 0 = -5*v + 2*m, 2*v - m = -0*v. Let b(n) be the second derivative of -1/2*n**2 - 4*n - 5/6*n**3 + v - 1/3*n**4. Let b(x) = 0. Calculate x.
-1, -1/4
Let p(n) be the third derivative of -n**6/900 - 2*n**5/225 - n**4/180 + 2*n**3/15 - 35*n**2. Let p(t) = 0. What is t?
-3, -2, 1
Let b(m) = -14*m**4 + m**3 - 3*m + 3. Let d(w) = 14*w**4 - 2*w**3 + 2*w - 2. Let h(a) = 2*b(a) + 3*d(a). Determine q so that h(q) = 0.
0, 2/7
Factor -15/2*q**3 + 5/2*q**4 - 45*q**2 + 0*q + 0.
5*q**2*(q - 6)*(q + 3)/2
Suppose -4*n = -5*j + 27, -7*n - 3 = 2*j - 4*n. Factor -3*z**4 + 0*z**4 - 11*z**j + 8*z**3.
-3*z**3*(z + 1)
Let f = 6974 + -6972. Find q, given that 6 + 69/2*q**f + 9/2*q**4 + 21*q**3 + 24*q = 0.
-2, -1, -2/3
Let w(t) be the first derivative of -t**6/8 - 6*t**5/5 - 45*t**4/16 + 2*t**3 + 6*t**2 - 185. Suppose w(o) = 0. What is o?
-4, -1, 0, 1
Suppose 0 = 9*m - 5*i - 54, -60*i + 63*i = -3*m + 18. Factor m*f**4 + 0 - 3/2*f**5 + 0*f + 3*f**2 - 15/2*f**3.
-3*f**2*(f - 2)*(f - 1)**2/2
Determine a so that -11/3*a**2 - 4/3*a**3 - 1/6*a**4 - 3/2 - 4*a = 0.
-3, -1
Let d(a) be the third derivative of 1/120*a**6 + 0 - 1/12*a**5 + 7*a**2 - 2/3*a**3 + 1/3*a**4 + 0*a. Factor d(m).
(m - 2)**2*(m - 1)
Let n(p) be the second derivative of -p**4/3 - 14*p**3/3 - 24*p**2 + 18*p. Determine z, given that n(z) = 0.
-4, -3
Suppose -5 = -5*t + 5. What is o in 28*o**2 + 100*o - 158*o**t + 6*o**3 + 40 + 29*o**3 = 0?
-2/7, 2
Let i(v) be the first derivative of v**6/280 + 5*v**2/2 - 25. Let x(k) be the second derivative of i(k). Suppose x(c) = 0. What is c?
0
Suppose h - 5 = -f + 3, -4*f = 5*h - 35. Suppose -3*j + 33 = 4*a, -f*j + 92 = -3*a + 37. Factor j*m - m**3 + 6*m**2 - 3*m**3 + 6*m**3 - 5*m + 2.
2*(m + 1)**3
Let b(t) = t**2 + t - 1. Let j(o) = -o**3 - o**2 + 5*o - 2. Let p be j(-3). Let z(q) = -60*q**2 + 3. Let g(m) = p*z(m) - 15*b(m). Factor g(f).
-3*(5*f - 2)*(5*f + 3)
Let o(q) be the third derivative of -q**7/70 + 33*q**6/40 - 93*q**5/20 + 91*q**4/8 - 15*q**3 - 294*q**2 + 2. Determine n so that o(n) = 0.
1, 30
Let r(f) be the third derivative of f**6/720 + f**5/24 + 3*f**4/16 + 8*f**3/3 + 12*f**2. Let b(s) be the first derivative of r(s). What is u in b(u) = 0?
-9, -1
Suppose -4*h = -3*h - 5*v - 14, 2*h + 3*v = 2. Let y be (h/(-8) + 2/4)/1. Let 3*w**3 - 3*w**5 + 0 - 3/4*w**2 + y*w + 3/4*w**4 = 0. What is w?
-1, 0, 1/4, 1
Factor -361/9 - 1/9*v**2 + 38/9*v.
-(v - 19)**2/9
Let v(w) = -17*w**5 - w**4 + 26*w**3 + 18*w**2 - 17*w - 9. Let k(n) = 9*n**3 + 6*n**2 - 193*n + 187*n + 0 - 3 - 6*n**5. Let u(l) = 8*k(l) - 3*v(l). Factor u(z).
3*(z - 1)**2*(z + 1)**3
Let u(l) = -l**2 - l + 2. Let w(f) = f**3 + 3*f**2 - f - 4. Let z be w(-3). Let r(j) = j**2 - j - 1. Let p(t) = z*u(t) - 2*r(t). Find b such that p(b) = 0.
0, 3
Factor -13/4*o**2 - 5/2*o + 0.
-o*(13*o + 10)/4
Suppose -4*p**3 - 11*p**3 + 3*p**5 - 2*p**3 + 3*p**4 - 4*p**3 + 18*p - 3*p**2 = 0. Calculate p.
-3, -1, 0, 1, 2
Let b(f) be the second derivative of -7*f**8/960 - f**7/45 - f**6/45 - f**4/6 - 14*f. Let k(r) be the third derivative of b(r). Find c such that k(c) = 0.
-4/7, 0
Let m(t) be the third derivative of -3*t**8/112 - 2*t**7/35 + 7*t**6/40 + t**5/5 - t**4/2 - t**2 - 12. What is a in m(a) = 0?
-2, -1, 0, 2/3, 1
Let q(t) = -t**2 + 3*t + 4. Suppose -5*a + 25 - 60 = 0. Let u(v) = -v**3 + v**2 - 5*v - 7. Let y(o) = a*q(o) - 4*u(o). Factor y(p).
p*(p + 1)*(4*p - 1)
Let x = -709 - -2129/3. Factor 1/3*o**4 + o**3 + x*o**2 + 0 + 0*o.
o**2*(o + 1)*(o + 2)/3
Let g = 146 - 143. Let o(t) be the first derivative of -t**2 + 0*t + 1/2*t**4 + 1 + 0*t**g. Determine c so that o(c) = 0.
-1, 0, 1
Let h(d) be the third derivative of -d**2 - 2 + 1/32*d**4 + 1/480*d**6 + 1/40*d**5 - 5/12*d**3 + 0*d. Factor h(r).
(r - 1)*(r + 2)*(r + 5)/4
Let m(u) = -u**2 - 3*u + 28. Let k be m(-10). Let f be (-19)/(-133) + (-50)/k. Factor -16*r**2 + 6*r**3 - f + 26/3*r.
2*(r - 2)*(3*r - 1)**2/3
Let n(m) be the first derivative of -m**3 + 267*m**2/14 + 78*m/7 + 137. Factor n(d).
-3*(d - 13)*(7*d + 2)/7
Let v(y) be the second derivative of 3*y**5/80 - 5*y**4/12 + 23*y**3/24 + 5*y**2/4 + 4*y. Determine s so that v(s) = 0.
-1/3, 2, 5
Suppose -59 = 9*c - 221. Suppose -2/9*o**5 + c + 36*o**2 + 26/9*o**4 - 44/3*o**3 - 42*o = 0. What is o?
1, 3
Let w(v) be the third derivative of v**9/15120 - v**8/1680 + v**7/630 + 7*v**5/20 - 14*v**2. Let f(y) be the third derivative of w(y). Factor f(a).
4*a*(a - 2)*(a - 1)
Let v be (1 + 2)*12/9. Suppose o = -v*n - 10, -5*o + 2*n - 4*n + 4 = 0. Determine g, given that -11*g - 46*g - 35*g - 16*g + 12 + 243*g**o = 0.
2/9
Let s be (-57)/(-7) + (4 - -23) + -35. Factor -8/7 - 1/7*h**4 - 4/7*h + 6/7*h**2 + s*h**3.
-(h - 2)**2*(h + 1)*(h + 2)/7
Suppose r = -5*w + 30 - 12, 0 = 2*w - 5*r - 18. Let -3/4*c**3 - 3/4*c**2 + 3/4*c**w + 3/4*c + 0 = 0. What is c?
-1, 0, 1
Suppose -17/5*c**4 - 324/5 + 1/5*c**5 - 252/5*c + 59/5*c**3 + 149/5*c**2 = 0. What is c?
-2, -1, 2, 9
Suppose 0 = -249*w + 211*w. Suppose 5*j = -2*a - 10, -j = -3*a - 11 - 4. Suppose w + j*d - 1/2*d**2 = 0. What is d?
0
Let x be (50 - 42) + 6*-1. Let s(w) be the third derivative of 0 + 0*w**3 + 1/150*w**5 + 0*w - 2*w**x - 1/30*w**4. What is j i