3 + 96*o**2/7 + 122*o. Find l, given that f(l) = 0.
-6, -2/3
Let t(v) = v**3 - v**2 - 7*v + 3. Let g(k) = k**3 - 8*k + 2. Let u(f) = 5*g(f) - 6*t(f). Let z be u(6). Factor 3*h**2 + 39*h**4 + 0*h**2 + 24*h**3 + 9*h**z.
3*h**2*(4*h + 1)**2
Let k be (-197 - -197)*(-2)/10. What is t in -9/4*t**2 + k + 3/4*t - 3/4*t**4 + 9/4*t**3 = 0?
0, 1
Let p(h) = -h**2 - h - 2. Let x(s) = 16*s**2 - 116*s + 1048. Let z(m) = -12*p(m) - x(m). Factor z(w).
-4*(w - 16)**2
Let -w**4 + 36*w**3 - 3*w**4 + 20*w + 60*w**2 - 105*w**3 + 49*w**3 - 56 = 0. Calculate w.
-7, -1, 1, 2
Let b(x) = -x**2 - 11*x + 15. Let y be b(-12). Factor -u**y + 232 + 9*u - 2*u**3 - 226.
-3*(u - 2)*(u + 1)**2
Let m be 3542/(-322) + 289/5. Let z be 2/(-8) + 130/8. Let -m*b**2 - 8/5 - z*b - 162/5*b**3 = 0. What is b?
-1, -2/9
Let d(x) be the first derivative of -4*x**4/9 + 898*x**3/27 - 6328*x**2/9 + 1568*x/9 + 711. Factor d(k).
-2*(k - 28)**2*(8*k - 1)/9
Suppose 2*t + 3*o = t + 6, 3*o - 6 = 0. Let l be 6/2 - (t - -1) - 0. Factor 18/5*v**4 + 32/5 + 176/5*v**l + 96/5*v**3 + 128/5*v.
2*(v + 2)**2*(3*v + 2)**2/5
Let t(b) be the first derivative of -4*b**5/5 - 5*b**4 + 68*b**3/3 + 258*b**2 + 720*b + 374. Determine n so that t(n) = 0.
-4, -3, 5
Let f(d) = d**3 - d - 3. Let l(i) = 6*i**3 + 6*i**2 - 36*i - 45. Let p(r) = 3*f(r) - l(r). Suppose p(a) = 0. What is a?
-4, -1, 3
Let g be ((-42)/84)/(1/(-6)). Let z(v) be the second derivative of 1/45*v**6 - 1/30*v**5 + 1/9*v**3 - 1/18*v**4 + 0*v**2 - g*v + 0. Factor z(q).
2*q*(q - 1)**2*(q + 1)/3
Let f(n) be the third derivative of 1/14*n**7 + 0*n**3 - 38*n**2 + 0 + 0*n + 5/6*n**4 + 5/336*n**8 - 5/24*n**6 - 1/4*n**5. Factor f(h).
5*h*(h - 1)**2*(h + 1)*(h + 4)
Let l be (-1)/((-3)/123)*(-5)/(-5). Find s such that -6*s**5 + 10*s**4 - 4*s**3 + l*s**2 - 90*s**2 + 49*s**2 = 0.
0, 2/3, 1
Let y(z) be the third derivative of -z**6/780 - 2*z**5/195 + 7*z**4/39 - 32*z**3/39 + 2*z**2. Solve y(a) = 0 for a.
-8, 2
Let i(n) be the second derivative of n**6/105 + n**5/14 + n**4/14 - 3*n**3/7 + 79*n. Factor i(c).
2*c*(c - 1)*(c + 3)**2/7
Let y(b) be the second derivative of 2*b**6/75 - 19*b**5/25 - 21*b**4/5 - 26*b**3/3 - 44*b**2/5 + 9*b + 2. Factor y(a).
4*(a - 22)*(a + 1)**3/5
Let u = 94 - 92. Determine q, given that -4 + q**u - 5*q + 5*q = 0.
-2, 2
Let x(t) be the second derivative of t**6/72 - t**5/8 - 25*t**4/12 + 43*t**3/6 - 3*t - 3. Let y(h) be the second derivative of x(h). Find w such that y(w) = 0.
-2, 5
Let g(x) be the second derivative of 1/18*x**5 - 18*x + 0 - 2/27*x**3 - 1/18*x**4 + 0*x**2. Factor g(b).
2*b*(b - 1)*(5*b + 2)/9
Suppose 3*f = -5*h - 47, -2*h + 2 = f + 16. Let o be (18/12)/(2 - 69/f). Factor -o*t - 2/13*t**2 + 0.
-2*t*(t + 2)/13
Let d = 1081/1360 + 7/1360. Solve -d*c**2 - 16/5*c - 12/5 = 0 for c.
-3, -1
Let k = 1411 + -1406. Let a(t) be the third derivative of 1/36*t**k + 0 + 5/24*t**4 + 0*t + 5/9*t**3 - 9*t**2. Factor a(m).
5*(m + 1)*(m + 2)/3
Find v such that 5523*v - 5475*v - 4*v**3 + v**2 - 5*v**2 = 0.
-4, 0, 3
Let x be (-42)/(-10) + 13/((-104)/32). Factor -x*y**4 + 0*y**2 - 4/5*y + 3/5*y**3 + 0.
-y*(y - 2)**2*(y + 1)/5
Let x(m) = -1100*m + 9904. Let s be x(9). Solve -12/7*o**3 - 5/7*o**s + 31/7*o**2 - 6/7*o - 8/7 = 0.
-4, -2/5, 1
Let q = 101 - 86. Let n(u) = -50*u**4 - 50*u**3 + 120*u**2 + 50*u - 55. Let x(y) = 7*y**4 + 7*y**3 - 17*y**2 - 7*y + 8. Let s(f) = q*x(f) + 2*n(f). Factor s(p).
5*(p - 1)**2*(p + 1)*(p + 2)
Find s, given that -6/5*s**4 + 0 - 34/5*s**2 + 8/5*s + 32/5*s**3 = 0.
0, 1/3, 1, 4
Suppose 4*o - 12 + 36 = 2*r, 3*o - 15 = -4*r. Let q be 96/(-18)*r/(-4). Suppose -27 - 4 - 4*h**3 - 1 + 16*h + q*h**2 = 0. Calculate h.
-2, 2
Let u be 15/(-10)*2/3 + 22/18. Factor u*t**4 + 0 + 2/9*t**2 + 0*t - 4/9*t**3.
2*t**2*(t - 1)**2/9
Let z be 55/((-11)/(-1)) - (-14)/(-3). Let j(o) be the third derivative of -1/30*o**5 + 0 + z*o**4 + 0*o + 6*o**2 - 4/3*o**3. Determine g so that j(g) = 0.
2
Let b(w) = -3*w**3 + 2*w**2 - 3*w - 5. Let a be b(-2). Let -44*o**4 + 48*o**2 - 4 - 5*o**5 - 8*o + 56*o**3 - a*o**5 - 10*o**5 = 0. Calculate o.
-1, -1/4, 1/3, 1
Let 14*q**4 + 364*q + 10*q**4 - 548*q**3 - 28*q**4 - 2*q**4 - 151*q**2 - 27*q**2 = 0. What is q?
-91, -1, 0, 2/3
Let k(v) be the third derivative of -v**7/7140 - v**6/1020 - v**5/340 - v**4/204 - 14*v**3/3 + 30*v**2. Let z(u) be the first derivative of k(u). Factor z(o).
-2*(o + 1)**3/17
Let t(i) be the third derivative of 0 + 11*i**2 + 0*i**3 - 1/20*i**5 + 0*i - 1/12*i**4. Factor t(w).
-w*(3*w + 2)
Let c(p) be the first derivative of -1/24*p**3 - 2 - 1/48*p**4 + 4*p**2 - 1/240*p**5 + 0*p. Let r(d) be the second derivative of c(d). Solve r(i) = 0 for i.
-1
Suppose -3*f = -3*p + 1 + 5, -6 = -3*p - 3*f. Suppose 3*t + t = -p*t. Factor -2/7*v**5 + 0*v**3 + t + 0*v**2 + 2/7*v**4 + 0*v.
-2*v**4*(v - 1)/7
Let b(o) be the first derivative of -o**3/12 - 7*o**2/8 + 9*o/2 + 137. Let b(d) = 0. What is d?
-9, 2
Suppose -4*z + 435 = 3*w, 3*z + 181 - 476 = 4*w. Suppose 4*t = 9*t - z. Factor t + m**3 - 21 - 2*m - m**2.
m*(m - 2)*(m + 1)
Let s(b) be the first derivative of -4*b**3/3 - 48*b**2 - 105. Solve s(n) = 0.
-24, 0
What is t in 0*t + 8*t**2 + 0 - 4/5*t**3 = 0?
0, 10
Let c(q) = 255*q**2 + 434*q**3 + 56*q - 32 + 349*q**2 + 478*q**3. Let r(h) = 83*h**3 + 55*h**2 + 5*h - 3. Let j(t) = -3*c(t) + 32*r(t). Solve j(m) = 0.
-2/5, -1/4, 0
Let k(q) be the first derivative of 2/3*q**3 - 15 + 4/3*q**2 + 2/3*q. Factor k(c).
2*(c + 1)*(3*c + 1)/3
Let p = -1589 - -1594. Let l(n) be the second derivative of -1/3*n**3 + 0 - 1/30*n**p - 7*n - 5/18*n**4 + 0*n**2 + 1/45*n**6. Factor l(o).
2*o*(o - 3)*(o + 1)**2/3
Suppose 0*y + 2*k + 8 = 3*y, 0 = 3*k - 6. Solve -8*f**4 - y*f**5 + 24 + 13*f**3 - 52*f + 37*f**3 + 16*f**2 - 26*f**3 = 0 for f.
-3, -2, 1
Let h be (-52)/60 + 1 - 176/(-30). Let c(f) be the first derivative of 1/12*f**3 - 1/4*f + 1/8*f**2 + h - 1/16*f**4. Factor c(p).
-(p - 1)**2*(p + 1)/4
Let j = 54 + -50. Factor -3*z - 84*z**2 + 11*z + 88*z**2 + j.
4*(z + 1)**2
Let o(s) be the first derivative of 3*s**4/4 - 12*s**3 + 54*s**2 - 96*s + 253. Let o(z) = 0. Calculate z.
2, 8
Let b(g) be the third derivative of -g**5/105 - 19*g**4/21 - 74*g**3/21 - 278*g**2. Factor b(z).
-4*(z + 1)*(z + 37)/7
Let m(v) be the third derivative of 1/120*v**7 - 1/120*v**5 + 20*v**2 - 1/96*v**6 + 0*v**4 + 0*v**3 + 0*v + 0. Determine b, given that m(b) = 0.
-2/7, 0, 1
Let k(r) = -r**3 - 8*r**2 - 8*r - 4. Suppose -5*c + 6 = v + 40, c + 2 = -5*v. Let l be k(c). Let 3*b**2 - b**l - 2*b - b**2 - 5*b**2 = 0. Calculate b.
-2, -1, 0
Let r be 4/7 - (3 + 45/(-7)). Let c(u) be the second derivative of -4*u - 1/25*u**5 + 0*u**2 + 1/75*u**6 + 1/30*u**r + 0*u**3 + 0. Let c(o) = 0. Calculate o.
0, 1
Let l(a) = -167*a + 6179. Let o be l(37). Factor o + 2/5*y**3 - 4/5*y**2 + 2/5*y.
2*y*(y - 1)**2/5
Let t be -1*((0 - 0) + -3). Suppose x + 13 = 5*b, -4 + 2 = 2*b - 4*x. Let 3*z + 2*z**2 + 9*z**t + 7*z**2 + 0*z + b*z**4 = 0. Calculate z.
-1, 0
Find i, given that 178 + 4*i**2 + 0*i**2 - 64*i - 118 = 0.
1, 15
Let y(u) = 7*u - 25. Let l be y(4). Suppose -8*n = s - 4*n + 14, -l*s - 3*n - 6 = 0. Factor 4/9*k + 2/3*k**s + 0 + 2/9*k**3.
2*k*(k + 1)*(k + 2)/9
Suppose -13*v = -8*v + 985. Let c = 593/3 + v. Determine d so that 2/3*d - 4/3*d**2 - c*d**3 + 4/3 = 0.
-2, -1, 1
Let o(w) be the third derivative of -w**8/672 - 2*w**7/105 - 3*w**6/40 - 2*w**5/15 - 5*w**4/48 - w**2 + 157*w. Factor o(r).
-r*(r + 1)**3*(r + 5)/2
Let t(w) be the first derivative of w**2 + 30*w - 20. Let n be t(-14). Find h such that -1/5*h**4 + 1/5*h**3 + 0 + 0*h + 0*h**n = 0.
0, 1
Let z(v) be the first derivative of -v**5/15 + v**4/12 + v**3/9 - v**2/6 + 235. Suppose z(w) = 0. What is w?
-1, 0, 1
Suppose -2/17*y**3 - 2/17*y**2 + 32/17 + 32/17*y = 0. Calculate y.
-4, -1, 4
Find t such that -3*t**3 - 3/5*t**4 + 0*t - 18/5*t**2 + 0 = 0.
-3, -2, 0
Let k be (-2400)/108*228/(-10). Let n = -500 + k. Determine y so that -4*y**3 - n*y + 2 + 2/3*y**4 + 8*y**2 = 0.
1, 3
Let m(a) be the first derivative of -1/21*a**3 - 1/35*a**5 - 1/14*a**4 + 0*a**2 + 0*a - 10. Factor m(b).
-b**2*(b + 1)**2/7
Let y = 121/2430 + -4/243. Let b(s) be the third derivative of 0*s - 9*s**2 + 0 + s**3 + y*s**5 - 1/3*s**4. Suppose b(v) = 0. What is v?
1, 3
Let s(d) = d**3 - 7*d**2 + 35*d - 122. Let t be s(5). Let p(k) be the first derivati