= 0.
-3/8
Let j(g) be the third derivative of g**7/630 - g**6/180 + g**2 - 220*g. Let j(y) = 0. Calculate y.
0, 2
Let i(w) be the second derivative of w**7/84 + 5*w**6/72 + w**5/12 + 17*w**3/3 + 14*w. Let f(a) be the second derivative of i(a). Factor f(v).
5*v*(v + 2)*(2*v + 1)
Find b, given that 1/7*b**2 + 1/7*b - 2/7 = 0.
-2, 1
Suppose 458*v - 11475*v**2 + 2192*v**3 + 1453*v**3 + 1182*v - 60 = 0. Calculate v.
2/27, 3
Let m(r) be the third derivative of -1/90*r**6 - 4/27*r**3 + 11*r**2 + 0 - 1/9*r**4 - 1/945*r**7 - 13/270*r**5 + 0*r. Factor m(n).
-2*(n + 1)**2*(n + 2)**2/9
Let c(m) be the third derivative of -m**7/165 + 23*m**6/660 - 2*m**5/33 + m**4/33 + 14*m**2. Find a, given that c(a) = 0.
0, 2/7, 1, 2
Let u(z) be the second derivative of z**5/10 + 2*z**4/9 - 13*z**3/9 + 2*z**2 + z + 109. Factor u(i).
2*(i - 1)*(i + 3)*(3*i - 2)/3
Suppose u - 124 = -118. Let k be ((-3)/(-7))/(((-45)/u)/(-5)). Factor -2/7*t**4 + 0*t + 0*t**2 + 4/7*t**3 - k*t**5 + 0.
-2*t**3*(t - 1)*(t + 2)/7
Let p(b) be the third derivative of -b**5/20 - 109*b**4/4 - 11881*b**3/2 + 276*b**2. Determine i so that p(i) = 0.
-109
Let r = 295 + -292. Let u(y) be the second derivative of -1/12*y**4 - 2/3*y**r - 6*y + 0 - 2*y**2. Factor u(b).
-(b + 2)**2
Factor -6*u + 4*u**2 - 9 + 3*u**2 - 4*u**2.
3*(u - 3)*(u + 1)
Let h be 28/56*1/2. Let q(s) be the first derivative of 0*s**2 - 1/3*s**3 + h*s**4 + 0*s + 2. Factor q(t).
t**2*(t - 1)
Let i(m) = m**4 - m**3 - m + 1. Let s(z) = 5*z**5 - 5*z**4 + 50*z**3 + 10*z**2 + 25*z - 25. Let r(a) = -25*i(a) - s(a). Factor r(f).
-5*f**2*(f + 1)**2*(f + 2)
Let y(p) = p**2 + 484*p - 969. Let c be y(2). Factor 2/7*l**c - 2/7*l - 10/7*l**2 + 10/7.
2*(l - 5)*(l - 1)*(l + 1)/7
Let s be 2/((-260)/(-15) + -16). Let -s*w**3 + 3*w**2 + 3/2*w - 3 = 0. What is w?
-1, 1, 2
Let u(c) be the second derivative of -1/84*c**7 + 0*c**2 + 1/60*c**6 + 0*c**3 - 1/24*c**4 + 0 - 12*c + 1/40*c**5. Let u(x) = 0. Calculate x.
-1, 0, 1
Let d be 14/(-196) + 34/4 + -5. Factor -d*m + 6/7*m**4 - 22/7*m**2 + 2/7*m**5 - 8/7 - 2/7*m**3.
2*(m - 2)*(m + 1)**3*(m + 2)/7
Let r(q) be the third derivative of q**3 + 0*q - 11*q**2 + 1/6*q**4 + 0 - 1/15*q**6 - 1/6*q**5. Factor r(f).
-2*(f + 1)**2*(4*f - 3)
Let v be (-7 - 5)*6/12 - -9. Factor 0 + 0*o + 2/9*o**v - 4/9*o**2.
2*o**2*(o - 2)/9
Let f be 2/8 - (-297)/12. Suppose -7 = -4*q + f. Factor -x**2 + x**3 - 3 - 4 - x + q.
(x - 1)**2*(x + 1)
Let d(r) = -r - 1. Let s(x) be the second derivative of 17/6*x**4 + 37/6*x**3 - 5*x + 13/2*x**2 + 1/2*x**5 + 0. Let q(l) = 10*d(l) + 2*s(l). Factor q(n).
4*(n + 1)*(n + 2)*(5*n + 2)
Let z(l) = l - 1. Let f(t) = t**2 - 55*t + 3. Let u(m) = -f(m) - 3*z(m). Solve u(b) = 0 for b.
0, 52
Let y(c) = -c**3 - 3*c**2 - c + 1. Let s(t) = 10*t**3 - 3*t**2 + 22*t + 35. Let i(l) = -s(l) - 7*y(l). Factor i(j).
-3*(j - 7)*(j - 2)*(j + 1)
Let s be 1 + 3 + -5 + 5. Suppose -4*z + s*m = -4, 14 = z + z + 2*m. Suppose -4*i**4 + 0*i**5 + 2*i**z + 5*i**2 + i - 3*i**2 - i**5 = 0. What is i?
-1, 0, 1
Let l(a) be the first derivative of a**5/70 - a**4/21 - a**3/21 + 2*a**2/7 - 10*a - 3. Let i(h) be the first derivative of l(h). Let i(y) = 0. What is y?
-1, 1, 2
Let b(a) = 4*a**2 - 4. Suppose -16 = -2*z + 6*z. Let t be 10*((-90)/(-12))/15. Let u(x) = 4*x**2 - x - 3. Let k(d) = t*b(d) + z*u(d). Let k(l) = 0. What is l?
-2, 1
Solve -45 - 93/2*y - 3/8*y**3 - 51/4*y**2 = 0.
-30, -2
Let q(s) = -s**5 - s**3 - s**2 + s + 1. Let b(j) = -4*j**5 + 15*j**4 - 47*j**3 - 63*j**2 + 3*j + 3. Let y(p) = -4*b(p) + 12*q(p). Suppose y(k) = 0. What is k?
-1, 0, 6, 10
Let w(t) be the second derivative of t**4/36 + 4*t**3/3 - 26*t**2/3 - 6*t - 5. Factor w(h).
(h - 2)*(h + 26)/3
Let j(b) be the second derivative of 5*b**4/12 + 10*b**3 + 135*b**2/2 + 46*b. Factor j(w).
5*(w + 3)*(w + 9)
Let j(r) be the second derivative of r**7/84 - r**6/10 + r**5/10 + r**4/4 - 5*r**3/12 + 545*r. Factor j(o).
o*(o - 5)*(o - 1)**2*(o + 1)/2
Let n = 670 + -665. Let m(h) be the second derivative of 0*h**2 + 2/3*h**3 + 0*h**4 - 1/5*h**n + 0 - 4*h. What is l in m(l) = 0?
-1, 0, 1
Let y(x) be the first derivative of -x**7/735 + x**5/105 - x**3/21 - 19*x**2/2 + 4. Let o(h) be the second derivative of y(h). Factor o(n).
-2*(n - 1)**2*(n + 1)**2/7
Let a(n) = 5*n**3 - 125*n**2 - 115*n + 5. Let z(v) = -5*v**3 + 125*v**2 + 112*v - 6. Let d(w) = -6*a(w) - 5*z(w). Factor d(y).
-5*y*(y - 26)*(y + 1)
Let b(c) be the first derivative of -5*c**6/6 - 6*c**5 - 25*c**4/4 + 40*c**3 + 90*c**2 - 171. Find q such that b(q) = 0.
-3, -2, 0, 2
Factor 111/7*x + 3/7*x**3 + 60/7*x**2 + 54/7.
3*(x + 1)**2*(x + 18)/7
Factor 46656/7 - 432/7*m + 1/7*m**2.
(m - 216)**2/7
Let y = -108 - -113. Let v(b) be the second derivative of 4*b + 1/24*b**4 + 0*b**3 + 0*b**2 + 1/80*b**y + 0. Find u such that v(u) = 0.
-2, 0
Let p(b) be the first derivative of b**4/10 + 16*b**3/15 - 4*b**2/5 - 64*b/5 - 84. Let p(a) = 0. What is a?
-8, -2, 2
Let g be 345/(-6900) - 2/(-40). Factor -6/7*r**2 + g - 2/7*r.
-2*r*(3*r + 1)/7
Let l be (2 - (6 + -1)) + 3. Suppose l = 5*q + 10 - 30. Factor -f - 25 + 19 - 3*f**3 + q*f + 6*f**2.
-3*(f - 2)*(f - 1)*(f + 1)
Let t be 11/((-891)/2)*1/2. Let h = 26/81 - t. Factor -1/3*x**3 + 0 + 0*x**2 + h*x.
-x*(x - 1)*(x + 1)/3
Let l = -24209 - -193675/8. Factor 0 - 3/2*u + 3/2*u**2 - l*u**3.
-3*u*(u - 2)**2/8
Let o(v) be the third derivative of v**6/420 + v**5/42 - v**4/14 - 28*v**2. Let o(l) = 0. What is l?
-6, 0, 1
Let k(m) be the second derivative of m**5 - 2*m**4/15 - 10*m**3/3 + 4*m**2/5 + 9*m. Let k(n) = 0. What is n?
-1, 2/25, 1
Factor 2/3*h**4 + 0*h**3 + 0*h + 0*h**2 + 0 - 1/3*h**5.
-h**4*(h - 2)/3
Solve -2*b**3 + 0*b**3 + 11*b**2 - b**3 - 5*b**2 = 0 for b.
0, 2
Let z = 427 - 427. Let h(d) be the second derivative of -69/20*d**5 - 4*d**4 - 2*d**3 + z + 5*d - 3/14*d**7 + 0*d**2 - 7/5*d**6. What is n in h(n) = 0?
-2, -1, -2/3, 0
Let m(k) = 2*k**5 + 2*k**4 - k**3 + 2*k**2 - 1. Let f(o) = 9*o**5 - 11*o**4 + 4*o**3 + 3*o**2 - 1. Let w(x) = -5*f(x) + 5*m(x). Solve w(c) = 0.
-1/7, 0, 1
Let t(s) be the first derivative of s**5/180 + s**4/36 - s**3/6 + 15*s**2/2 - 8. Let n(b) be the second derivative of t(b). Factor n(k).
(k - 1)*(k + 3)/3
Find y, given that -25*y**2 + 18*y**3 - 14*y**3 + 16 + 45*y**2 + 32*y = 0.
-2, -1
Factor 9/5*r + 3/5*r**3 + 3/5 + 9/5*r**2.
3*(r + 1)**3/5
Let d(k) be the second derivative of 0 - 1/9*k**3 - 1/24*k**4 - 6*k**2 + 1/36*k**5 + k. Let n(x) be the first derivative of d(x). Find h, given that n(h) = 0.
-2/5, 1
Suppose 0 = 11*i - 12*i + 3. Suppose -14 = -5*z - 2*n, -4 = -z + i*z - 4*n. Find f such that -f**z + 7*f - 2*f + 5*f**2 - f = 0.
-1, 0
Find v such that -15*v**4 - 5*v**3 + 553378 - 5*v**5 + 55*v**3 - 553378 = 0.
-5, 0, 2
Let m be (-3)/9*(-4 - 2). Let s be (((-4)/6)/m)/((-5)/3). Solve s*h**2 + 2/5 + 3/5*h = 0.
-2, -1
Let x be (6/8)/(210/112 + 3). Solve 2/13*c + 0 + x*c**5 + 8/13*c**4 + 12/13*c**3 + 8/13*c**2 = 0 for c.
-1, 0
Let i(n) be the second derivative of 15*n + 0 - 2*n**2 - 1/27*n**4 + 4/9*n**3. Solve i(o) = 0.
3
Let j be (-19)/(-7) + -3 + 161/49. Suppose j*h = i - 4 - 2, 3*h + 6 = 0. Factor i + 0*x**2 + 0*x + 2/11*x**3 - 2/11*x**4.
-2*x**3*(x - 1)/11
Let n(a) = -7*a**2 + 18*a - 10. Let l(v) = -v**3 - v + 1. Let z(j) = 3*l(j) + 3*n(j). What is q in z(q) = 0?
-9, 1
Let i be (8 - 138)/(-13) - 7. Let d(j) be the third derivative of 2/9*j**4 + 0 + 16/9*j**i + 0*j + 1/90*j**5 - 5*j**2. Factor d(k).
2*(k + 4)**2/3
Let z(u) be the third derivative of u**8/168 + 23*u**7/21 + 695*u**6/12 + 1949*u**5/6 + 2380*u**4/3 + 3136*u**3/3 + 5*u**2 + 28. Factor z(b).
2*(b + 1)**3*(b + 56)**2
Let u = 538 - 536. Let t(o) be the first derivative of 2*o**3 + 2/5*o**5 - 4 + 0*o + 3/2*o**4 + o**u. Let t(z) = 0. What is z?
-1, 0
Let n(t) be the first derivative of t**9/7560 - t**8/2100 + t**6/450 - t**5/300 + t**3/3 + 10. Let s(z) be the third derivative of n(z). Factor s(b).
2*b*(b - 1)**3*(b + 1)/5
Factor -28/9*w**2 - 2/9*w**4 + 10/3*w**3 + 0*w + 0.
-2*w**2*(w - 14)*(w - 1)/9
Let k(i) = -i**3 + 11*i**2 - 3*i + 38. Let a be k(11). Solve 16/9 - 22/9*j**3 + 8/9*j**a - 40/9*j - 92/9*j**2 + 22/9*j**4 = 0.
-2, -1, 1/4, 2
Let q(v) = -16*v**4 + 6*v**3 - 2*v**2. Let f(b) = -b**4 - 2*b**2 + b. Let r(j) = -12*f(j) + 2*q(j). Suppose r(l) = 0. What is l?
-1, 0, 3/5, 1
Let t(p) be the first deri