d) be the first derivative of l(d). Solve b(m) = 0.
-1, 0, 1, 2
Factor -3/2*v**2 + 0 - 108*v.
-3*v*(v + 72)/2
Factor -2/7*d**4 + 0*d**2 + 0 + 38/7*d**3 + 0*d.
-2*d**3*(d - 19)/7
Let g(o) be the second derivative of o**7/210 - o**6/25 + 2*o**5/25 + o**4/10 - 3*o**3/10 + 2*o - 100. Determine i, given that g(i) = 0.
-1, 0, 1, 3
Let o(m) be the third derivative of -m**6/90 - 7*m**5/45 - 4*m**4/9 + 32*m**3/9 - 34*m**2 + 2. Suppose o(u) = 0. What is u?
-4, 1
Let p = 221 + -218. Suppose 3*h - 12 = v, 0 = 3*v - 0*h + p*h - 24. Let -46/3*w**2 + 1/3*w**5 - 3 + 10*w**3 - v*w**4 + 11*w = 0. What is w?
1, 3
Solve 11*q**4 + 10*q**4 - 12*q**2 - 35*q**4 - 12*q**3 + 11*q**4 = 0 for q.
-2, 0
Let u(r) be the third derivative of -r**6/72 - 13*r**5/6 - 845*r**4/6 - 43940*r**3/9 - 7*r**2. Factor u(l).
-5*(l + 26)**3/3
Let v(n) be the first derivative of -n**4/22 + 14*n**3/33 - n**2 + 10*n/11 + 23. Solve v(w) = 0.
1, 5
Let x(t) = t**3 - 21*t**2 - 18*t + 86. Let z(w) = -3*w**2 + w + 1. Let u(k) = x(k) - 6*z(k). Let u(f) = 0. Calculate f.
-5, 4
Let i(g) = -g**3 + 11*g**2 - 11*g + 15. Let t be i(10). Solve -t*c**3 - 80 - 3*c + 54*c + 9*c = 0 for c.
-4, 2
Let o(d) = 8*d - 29. Let t be o(5). Find i such that 2 + t + 12 - 9 - 4*i**2 = 0.
-2, 2
Suppose 0*t + t - 14 = 0. Let z = t - 9. Factor -2*q**5 + q**3 - 2*q**5 + z*q**5 + 2*q**4.
q**3*(q + 1)**2
Let g = 35 - 24. Suppose -8*u + 67 = 27. Factor -6*k + u*k**3 - g*k**4 + 5*k**2 - 1 - 2*k**3 + 7*k**4 + 3*k.
-(k - 1)**2*(k + 1)*(4*k + 1)
Let x(p) be the first derivative of -4*p**5/5 + 4*p**3 - 4*p**2 + 87. Factor x(c).
-4*c*(c - 1)**2*(c + 2)
Factor -64 + 36 + 2*m**4 - 74*m + 76 + 6*m**2 + 18*m**3.
2*(m - 1)**2*(m + 3)*(m + 8)
Factor -4/5*v + 0 + 8/5*v**2 - 4/5*v**3.
-4*v*(v - 1)**2/5
Let n(t) be the first derivative of t**6/1800 + t**5/200 - t**4/30 - 7*t**3/3 - 5. Let r(p) be the third derivative of n(p). Let r(f) = 0. Calculate f.
-4, 1
Let c(t) be the first derivative of 0*t + 11/4*t**4 + 7/6*t**6 - 16/5*t**5 + 0*t**2 - 13 - 2/3*t**3. Solve c(d) = 0.
0, 2/7, 1
Let t = -81/143 + 1163/286. Factor 3/2 - 7/2*o**2 + t*o - 3/2*o**3.
-(o - 1)*(o + 3)*(3*o + 1)/2
Let y(k) be the second derivative of 7*k**6/6 + 373*k**5/4 - 340*k**4/3 - 90*k**3 + 23*k - 2. Find i such that y(i) = 0.
-54, -2/7, 0, 1
Solve 44/5*d**3 - 2/5*d**5 - 4/5*d**2 - 2/5*d**4 - 18 - 138/5*d = 0 for d.
-5, -1, 3
Let j(c) be the first derivative of -1/3*c**4 + 4 + 0*c**2 - 2/9*c**3 + 0*c - 2/15*c**5. Factor j(m).
-2*m**2*(m + 1)**2/3
Suppose 18*v - 1/7*v**3 + 0 - 61/7*v**2 = 0. What is v?
-63, 0, 2
Let h = -12 + 6. Let o(g) = g. Let r(q) = -q**3 + q**2 - 2*q - 1. Let t = 10 - 12. Let v(s) = h*o(s) + t*r(s). Let v(p) = 0. Calculate p.
-1, 1
Let o(g) be the third derivative of -g**6/40 + g**5/20 + g**4/4 - 124*g**2. Factor o(b).
-3*b*(b - 2)*(b + 1)
Let j(p) be the third derivative of 11/240*p**5 - 1/24*p**4 - 1/6*p**3 - 1/120*p**7 + 0*p + 1/672*p**8 + 19*p**2 + 1/240*p**6 + 0. Determine u so that j(u) = 0.
-1, -1/2, 1, 2
Let v(d) = -d**3 - d. Let i(s) = -3*s**4 - 15*s**3 - 12*s. Suppose -24*l + 25*l - 1 = 0. Let q(c) = l*i(c) - 12*v(c). Factor q(o).
-3*o**3*(o + 1)
Let x(p) be the first derivative of -p**6/9 - p**5/3 - p**4/4 + p**3/9 + p**2/6 + 44. Factor x(b).
-b*(b + 1)**3*(2*b - 1)/3
Let v(m) be the third derivative of 4/33*m**3 + 0*m - 2*m**2 + 5/132*m**6 + 0 + 3/22*m**5 + 2/11*m**4. Suppose v(f) = 0. What is f?
-1, -2/5
Let z be (390/(-189) + 2)*15/10. Let c = 52/105 + z. Factor c*l**3 + 6/5*l**2 + 4/5*l + 0.
2*l*(l + 1)*(l + 2)/5
Let u = 419586/11 + -38144. Factor 6/11*x**3 + 0 + 0*x - u*x**4 + 0*x**2.
-2*x**3*(x - 3)/11
Let q(s) be the first derivative of -9 + 1/21*s**6 - 2/35*s**5 + 4/21*s**3 + 1/7*s**2 - 2/7*s - 1/7*s**4. Suppose q(z) = 0. What is z?
-1, 1
Factor 0 - 4/5*j**4 + 44/5*j**3 - 96/5*j**2 - 144/5*j.
-4*j*(j - 6)**2*(j + 1)/5
Suppose 14*w - 9*w - 5 = 0. Suppose -w + 3 = p. What is s in -6*s**2 + 4*s**p + 6*s + 0*s = 0?
0, 3
Let b(k) be the first derivative of 1/2*k**2 - 1/20*k**5 - k**3 + 0*k - 3/8*k**4 + 7. Let m(s) be the second derivative of b(s). Factor m(z).
-3*(z + 1)*(z + 2)
Factor 2*w**5 + 112*w**2 - 214*w**2 - 6*w**4 + 106*w**2 - 2*w**3 + 2*w**4.
2*w**2*(w - 2)*(w - 1)*(w + 1)
Let h(q) be the second derivative of -8*q + 1/2*q**4 + 0*q**3 + 0*q**2 + 0 + 9/20*q**5. Factor h(r).
3*r**2*(3*r + 2)
Let d be ((-310)/(-186))/(5/2). Suppose 4/9 + 2/9*b**2 + d*b = 0. What is b?
-2, -1
Let f(p) be the second derivative of -p**4/8 - 2*p**3 + 15*p**2 - 10*p - 5. Let f(r) = 0. Calculate r.
-10, 2
Let z(n) be the second derivative of n**6/15 - 2*n**5 + 25*n**4 - 500*n**3/3 + 625*n**2 + 125*n + 2. Suppose z(t) = 0. Calculate t.
5
Let -121/2 - 1/2*o**2 - 11*o = 0. Calculate o.
-11
Let u(t) = -t**3 + 59*t**2 + 54*t + 2. Let a(x) = -2*x**3 + 120*x**2 + 107*x + 5. Let m(f) = -4*a(f) + 10*u(f). Determine q so that m(q) = 0.
-1, 0, 56
Let t be (-20)/150 + 2/15. Let r(d) be the second derivative of -71/10*d**6 + 2*d**7 + 0 + 9*d**5 + 9*d - 19/4*d**4 + d**3 + t*d**2. Find k such that r(k) = 0.
0, 1/4, 2/7, 1
Suppose -7*w + 0*w + 21 = 0. Let g be 4/w*33/187. Determine j, given that 2/17*j**2 - g*j - 6/17 = 0.
-1, 3
Let g = -18 - -22. Suppose 5*b - 3 = -c + 9, 2*b - 12 = -g*c. Factor -8/7*u + 6/7 + 2/7*u**b.
2*(u - 3)*(u - 1)/7
Let g(j) = 8*j**4 - 189*j**3 + 2875*j**2 + 3052*j + 5. Let d(t) = 9*t**4 - 189*t**3 + 2874*t**2 + 3048*t + 6. Let x(q) = 5*d(q) - 6*g(q). Solve x(s) = 0.
-1, 0, 32
Let y(c) = -3*c**3 - 9*c**2 - c. Let f(p) = p**3 + 4*p**2 + p. Let t(z) = -5*f(z) - 3*y(z). Solve t(m) = 0.
-2, 0, 1/4
Let i = 784 + -784. Let k(g) be the first derivative of i*g**2 + 2/33*g**3 - 1/22*g**4 - 2/55*g**5 + 0*g + 1/33*g**6 + 3. Factor k(c).
2*c**2*(c - 1)**2*(c + 1)/11
Let k(j) be the first derivative of -j**6/180 + j**5/6 + 11*j**4/12 - 5*j**3/3 - 5*j**2/2 - 13. Let g(z) be the third derivative of k(z). Factor g(v).
-2*(v - 11)*(v + 1)
Let t = 26668/7 - 3808. Factor 0*j + 0 + t*j**5 - 33/7*j**3 + 9/7*j**2 + 24/7*j**4.
3*j**2*(j + 3)*(2*j - 1)**2/7
Suppose -10*y**2 + 12*y**4 - 2*y**2 - 4*y**5 - 78883*y**3 + 78887*y**3 = 0. Calculate y.
-1, 0, 1, 3
Let h(b) = -b**3 + 10*b**2 + 11*b + 3. Let i be h(11). Find v such that -3*v - 2*v**i + 1 + v**5 - 2*v**2 + v + 3*v + v**4 = 0.
-1, 1
Let f be (-4)/(4*(-3)/6). Suppose 0 = 6*r - 4*r + 4*y + 14, 0 = 3*r + 5*y + 16. Solve 0 + 2/5*l**r + 4/5*l - 6/5*l**f = 0.
0, 1, 2
Let 14/3*c + 7/3*c**2 - 4 - 2/3*c**4 + 1/6*c**5 - 5/2*c**3 = 0. What is c?
-2, 1, 6
Let u(j) be the second derivative of j**5/190 + 7*j**4/57 - 5*j**3/19 - 97*j. Determine d, given that u(d) = 0.
-15, 0, 1
Let t(n) = n**2 + 8*n + 25. Let i be t(-7). Let h = i + -71/4. Let 0*j**2 + h*j**4 + 0*j + 0 - 1/4*j**3 = 0. Calculate j.
0, 1
Let u(j) be the third derivative of -j**5/100 - 3*j**4/20 - 4*j**3/5 - 100*j**2 - 2*j. Suppose u(c) = 0. Calculate c.
-4, -2
Let t(s) be the third derivative of 3*s**6/200 + 29*s**5/100 + 13*s**4/8 - 5*s**3/2 - 2*s**2 - 73*s. Factor t(v).
3*(v + 5)**2*(3*v - 1)/5
Let x = -14 - -16. Suppose 4*v**x + 125 + 25*v - 25 - 65*v = 0. Calculate v.
5
Let c(a) = a**2 + 3*a + 2. Let h(u) = -u**3 - 5*u**2 + 102*u - 134. Let o(r) = 5*c(r) - h(r). Determine x so that o(x) = 0.
-16, 3
Let i(a) be the second derivative of -a**4/4 + 147*a**3 - 64827*a**2/2 - 835*a. Solve i(z) = 0.
147
Suppose 0 = 2*m - f - 8, -4*m - 2*f = -7*f - 22. Let n(x) be the first derivative of -5/4*x**4 - 6 + 0*x + 0*x**m + 0*x**2 + x**5. Factor n(l).
5*l**3*(l - 1)
Let k(q) be the first derivative of -3*q**5/35 + 75*q**4/28 - 27*q**3 + 1221*q**2/14 - 726*q/7 - 110. Let k(h) = 0. What is h?
1, 2, 11
Factor 47*b**3 + 38*b**3 - 16*b**2 + 4*b**4 - 23*b**2 - 53*b**3 + 3*b**2.
4*b**2*(b - 1)*(b + 9)
Let q be 1/(-10)*-74 - (-2)/(-5). Suppose -4*u = -4 - 0, 0 = g + 5*u - q. Suppose -3/5*k**4 + 12/5*k**3 + 0*k + 0 - 9/5*k**g = 0. What is k?
0, 1, 3
Let l(g) be the second derivative of -g**9/181440 + g**8/26880 + g**7/30240 - g**6/2880 - g**4 + 19*g. Let t(i) be the third derivative of l(i). Factor t(s).
-s*(s - 3)*(s - 1)*(s + 1)/12
Let t be -62*(4 - 27/6). Let -t + b**2 + 30*b - b**2 - 14 - 5*b**2 = 0. Calculate b.
3
Let s(l) = l**3 + 13*l**2 + 11*l - 10. Let m be s(-12). Let d be m/(-8) - (-108)/48. Factor 1/2*i**3 + 0 - 1/2*i - 1/2*i**4 + 1/2*i**d.
-i*(i - 1)**2*(i + 1)/2
Let