alculate t.
-4, 2
Let o be ((-228)/(-42))/((-1)/(-7)). Factor -10*l - 7*l + 14*l**2 + o*l - 11*l - 4.
2*(l + 1)*(7*l - 2)
Let s(q) = -q**3 + 7*q**2 + 3*q - 18. Let c be s(7). Factor 9*w**2 - 9 + 19 - 10 - 3*w - 9*w**c + 3*w**4.
3*w*(w - 1)**3
Let q be 1 - -1 - (-4 - 0). Factor -6 - 52*f - q - 4*f**2 - 3*f**2 - 9*f**2.
-4*(f + 3)*(4*f + 1)
Let f(b) be the first derivative of -1/2*b**4 + 2/3*b**5 + 0*b**2 + 3 - 2*b**3 + 0*b - 1/9*b**6. Solve f(x) = 0 for x.
-1, 0, 3
Factor 1/11*v**2 - 150/11*v + 5625/11.
(v - 75)**2/11
Let f(q) = -5 + 6 - q + 6 + 3. Let h be f(8). Factor -3*p**3 + 6*p**5 + 0*p**5 - 5*p**5 - p**4 + h*p**3 + p**2.
p**2*(p - 1)**2*(p + 1)
Let k = -247/68 - -66/17. Factor 0*g + 1/4*g**2 - k.
(g - 1)*(g + 1)/4
Let c(j) be the third derivative of -j**5/60 - 7*j**4/24 - 5*j**3/3 + 3*j**2 + 3*j. Find z, given that c(z) = 0.
-5, -2
Let r(c) = -c**3 - 8*c**2 + 8*c - 5. Let h be r(-9). What is w in 10*w**2 + h + 2 + 45*w - 30*w**2 - 31*w**2 = 0?
-2/17, 1
Let l(y) be the first derivative of -y**6/30 + 3*y**5/20 - y**4/6 + 20*y + 17. Let r(b) be the first derivative of l(b). Factor r(o).
-o**2*(o - 2)*(o - 1)
What is z in -57/4*z**2 - 9/4*z**4 + 33/4*z - 3/2 + 39/4*z**3 = 0?
1/3, 1, 2
Let l(r) be the third derivative of -1/210*r**7 + 0 + 0*r**4 + 0*r + 0*r**3 + 1/1008*r**8 + 0*r**6 + 13*r**2 + 1/45*r**5. What is x in l(x) = 0?
-1, 0, 2
Let b(g) = -g**3 - 15*g**2 - 15*g - 21. Let y be b(-14). Let u(v) = v + 7. Let k be u(y). Factor k*w**2 - 1/3*w**3 + 0*w + 0.
-w**3/3
Let k(x) be the second derivative of -x**7/315 + x**5/90 - 2*x**2 - 5*x. Let l(g) be the first derivative of k(g). Find h, given that l(h) = 0.
-1, 0, 1
Let m(j) = 5 - 1 - 28*j**2 + 44*j + 9*j**3 + j**2 - 30. Let g = -15 + 9. Let b(n) = 3*n**3 - 9*n**2 + 15*n - 9. Let c(t) = g*m(t) + 17*b(t). Factor c(s).
-3*(s - 1)**3
Let y(m) be the second derivative of -3*m**5/140 - 3*m**4/28 + 2*m**3/7 + 18*m**2/7 - 2*m + 54. Solve y(o) = 0 for o.
-3, -2, 2
Let j(y) be the first derivative of -2*y**5/55 + y**4/11 + 8*y**3/33 - 8*y**2/11 + 53. Let j(n) = 0. What is n?
-2, 0, 2
Let y = -87 - -122. Solve 2 + 2*j**2 + 20*j - y*j + 11*j = 0 for j.
1
Factor -62*i**2 + 4*i - 4*i - 66*i**2 - 4*i**4 + 132*i**2.
-4*i**2*(i - 1)*(i + 1)
Let t(h) be the first derivative of -h**6/21 + 18*h**5/35 - 23*h**4/14 + 10*h**3/7 - 890. Solve t(k) = 0 for k.
0, 1, 3, 5
Suppose 3*c - 3 = -4*v, 5*v + 4*c - 5 = -1. Suppose -12*d + 13*d - 2 = v. Factor -d + s + 1/2*s**2 - 1/4*s**3.
-(s - 2)**2*(s + 2)/4
Let c be (9/6)/((-9)/(-42)). What is k in -9 + 12*k**2 - 7 - k**4 - c*k + 8*k**3 - 3*k**4 - 9*k = 0?
-1, 2
Let i(q) = -3*q**2 - q + 2. Let y(v) = -v**2 - 1. Let t(n) = -i(n) - 2*y(n). Let p(g) = 9 - 11*g**2 - 9 - 2*g. Let c(m) = -4*p(m) - 9*t(m). Factor c(f).
-f*(f + 1)
Let n(x) be the third derivative of -x**6/360 + x**5/60 - x**4/36 - 60*x**2. Factor n(g).
-g*(g - 2)*(g - 1)/3
Suppose -21 + 199 = 89*s. Let h(f) be the second derivative of 10*f + 1/24*f**3 + 0 + 0*f**s + 1/12*f**4 - 1/16*f**5. Factor h(m).
-m*(m - 1)*(5*m + 1)/4
Let o be (-3582)/796*((-4)/6)/1. Factor 0*l + 0 + 1/9*l**o + 0*l**2.
l**3/9
Suppose -2*s = 4*o - 4*s - 18, 3*s = 2*o - 15. Factor -2*g**3 + 12*g**2 + o*g - 12 + g**3 - 2*g**3.
-3*(g - 4)*(g - 1)*(g + 1)
Let r(l) be the third derivative of l**7/210 + 11*l**6/120 + 19*l**5/30 + 13*l**4/6 + 4*l**3 + 137*l**2. Factor r(o).
(o + 1)*(o + 2)**2*(o + 6)
Let m = -31 + -10. Let n = m + 49. Factor 0 + n*t**3 - 10*t**4 + 0*t + 8/3*t**2 + 8/3*t**5.
2*t**2*(t - 2)**2*(4*t + 1)/3
Let i = -325 - -698. Factor -373 + i + 9*w**2 + 5*w**3 - 3*w**4 + w**3.
-3*w**2*(w - 3)*(w + 1)
Let m be (-3 - -3)/((-11)/(33/6)). Let b(j) be the third derivative of 0*j + 0*j**3 + 7*j**2 + m*j**5 + 1/70*j**7 + 0 + 1/20*j**6 + 0*j**4. Factor b(f).
3*f**3*(f + 2)
Let k = -11129 - -11132. Factor 32/5*w**k + 4/5*w**5 + 0 + 16/5*w**2 + 4*w**4 + 0*w.
4*w**2*(w + 1)*(w + 2)**2/5
Let y be (-1 + 22/8)*8. Let f(b) = 15*b**2 + 2 + 1 + b + y*b. Let a(j) = j**3 + 14*j**2 + 15*j + 4. Let w(n) = -3*a(n) + 2*f(n). Factor w(o).
-3*(o + 1)**2*(o + 2)
Let r(j) be the third derivative of 0*j + 24*j**2 + 0 + 1/336*j**8 - 1/120*j**6 + 0*j**5 + 0*j**3 + 0*j**4 + 0*j**7. Factor r(w).
w**3*(w - 1)*(w + 1)
Factor -2*p**2 - 2/3 + 4/9*p**3 + 20/9*p.
2*(p - 3)*(p - 1)*(2*p - 1)/9
Let b(m) be the first derivative of 2*m**5/5 + 59*m**4/8 + 59*m**3/2 - 76*m**2 + 32*m + 14. Determine w, given that b(w) = 0.
-8, 1/4, 1
Let u be (2 + -1)*(-11)/((-55)/10). Let z(o) be the first derivative of 0*o**u - 2/15*o**3 + 1 + 0*o. Factor z(g).
-2*g**2/5
Let d(p) = p**3 - 41*p**2 - 71*p - 43. Let t(v) = -v**3 + 20*v**2 + 35*v + 22. Let x(m) = -4*d(m) - 7*t(m). Suppose x(b) = 0. Calculate b.
-6, -1
Let m = 2/1111 + 17770/3333. Factor 16/3*r - m - 4/3*r**2.
-4*(r - 2)**2/3
Let w(y) = -9*y - 313. Let v be w(-35). Let u(d) be the first derivative of -2/5*d**v - 7 + 2/15*d**3 - 6/5*d. Factor u(j).
2*(j - 3)*(j + 1)/5
Let w(k) = -2*k - 8. Let z be w(-6). Let v(l) = -14*l**2 - 5*l + 4. Let c(s) = -14*s**2 - 6*s + 5. Let i(j) = z*c(j) - 5*v(j). Suppose i(t) = 0. Calculate t.
-1/14, 0
Let v = -84/11 - -1019/132. Let m(i) be the third derivative of 1/12*i**4 + v*i**5 + 0 - 8*i**2 + 0*i + 0*i**3. Factor m(l).
l*(5*l + 2)
Suppose 2*j = -2*j + 24. Suppose 28*m + 77 = 35*m. Factor 1 - l**2 - 3 - 16*l + m*l**2 - j.
2*(l - 2)*(5*l + 2)
Let y be (3/2)/((-3)/(-108)). Let u be 92/90 + (-12)/y. Factor u*p**3 + 0*p - 4/5*p**2 - 1/5*p**4 + 0.
-p**2*(p - 2)**2/5
Let t be (-3 - 54/(-16)) + (-54)/(-240). Factor -t*y**3 - 1/5*y**4 + 0*y - 2/5*y**2 + 0.
-y**2*(y + 1)*(y + 2)/5
Let m(a) be the second derivative of 3/100*a**5 + 0 - 1/20*a**4 + 0*a**2 - 3/5*a**3 + 35*a. Solve m(t) = 0.
-2, 0, 3
Suppose -5*v - 6 + 1 = 0. Let q(o) = -12*o + 2. Let n be q(v). Factor -6 + 24*t - 3 + 1 + n*t**2 - 10*t**3 - 8*t.
-2*(t - 2)*(t + 1)*(5*t - 2)
Let g be (-2)/(-63)*84/280. Let m(p) be the second derivative of 1/25*p**5 + g*p**7 - p + 1/25*p**6 + 0 - 1/15*p**4 - 1/5*p**3 - 1/5*p**2. Factor m(l).
2*(l - 1)*(l + 1)**4/5
Let f(q) = -4*q**2 + 40*q - 104. Let h(y) = 8*y**2 - 80*y + 209. Let j(b) = -3*b**2 + 2*b - 1. Let v be j(2). Let l(z) = v*f(z) - 4*h(z). Factor l(i).
4*(i - 5)**2
Let b(t) be the third derivative of t**8/80640 - t**7/6720 - t**6/720 + 19*t**5/60 + 24*t**2. Let g(s) be the third derivative of b(s). Factor g(q).
(q - 4)*(q + 1)/4
Factor 0 - 4/3*z + 1/3*z**3 + 0*z**2.
z*(z - 2)*(z + 2)/3
Suppose -8*q + 5*q = -12885. Let o = 13006/3 - q. Solve -4/3 - 44/3*n - o*n**2 = 0.
-2/11
Suppose 0 = 2*h + 2*r, -3*h + 0*r = -5*r - 16. Factor 29 - 29 + 2*n - h*n**2.
-2*n*(n - 1)
Let y = 1/2258 + 9025/15806. Factor 2/7*h + y*h**2 - 4/7 - 2/7*h**3.
-2*(h - 2)*(h - 1)*(h + 1)/7
Factor 2/21*z**3 - 2/21*z + 2/3*z**2 - 2/3.
2*(z - 1)*(z + 1)*(z + 7)/21
Let i(k) be the third derivative of 0*k - 1/60*k**6 - 1/60*k**5 + 0*k**3 + k**2 + 4 + 1/12*k**4 + 1/210*k**7. Suppose i(w) = 0. What is w?
-1, 0, 1, 2
Suppose -2*p = 3*p. Let z(w) be the third derivative of -1/44*w**4 - 1/330*w**5 + 0*w - 2/33*w**3 + 2*w**2 + p. Factor z(m).
-2*(m + 1)*(m + 2)/11
Let 35*o + 6*o**2 - 3 - 71*o + 26*o - 9*o**2 = 0. What is o?
-3, -1/3
Let q(b) = 11*b**3 - 74*b**2 + 81*b + 12. Let r(f) = -f**3 - f**2 - f - 2. Let c(a) = -q(a) - 6*r(a). Factor c(g).
-5*g*(g - 15)*(g - 1)
Let x(t) be the second derivative of -t**7/2520 - t**6/360 + t**5/360 + t**4/24 - t**3 + 7*t. Let m(a) be the second derivative of x(a). Factor m(g).
-(g - 1)*(g + 1)*(g + 3)/3
Let r(d) = 11*d**4 - 12*d**3 - 38*d**2 + 25*d. Let p(j) = -28*j**4 + 30*j**3 + 96*j**2 - 62*j. Let h(k) = 7*p(k) + 18*r(k). Factor h(b).
2*b*(b - 4)*(b - 1)*(b + 2)
Let f(q) be the second derivative of -q**7/11340 + q**5/135 - q**4/2 + 7*q. Let o(k) be the third derivative of f(k). Factor o(u).
-2*(u - 2)*(u + 2)/9
Factor -2*n - 24*n**2 + 3*n**2 + 6*n**2 + 7*n**2 + 6*n**2.
-2*n*(n + 1)
Let c(j) be the second derivative of j**5/160 + 13*j**4/96 + j**3 + 9*j**2/4 - 70*j + 2. Factor c(r).
(r + 1)*(r + 6)**2/8
Let w = -8633/420 - -144/7. Let z(o) be the third derivative of w*o**5 - 5*o**2 - 1/6*o**3 + 0*o + 0 + 0*o**4. Find u such that z(u) = 0.
-1, 1
Let c(b) = -6*b - 8. Let u be c(-3). Find n, given that -u*n - 95*n**2 + 184*n**2 - 94*n**2 + 15 = 0.
-3, 1
Let f(r) be the first derivative of 4*r**5/5 + 3*r*