cond derivative of y**6/30 + 3*y**5/5 + 15*y**4/4 + 9*y**3 - 182*y. Solve n(i) = 0 for i.
-6, -3, 0
Let j(k) be the third derivative of 7/60*k**4 - 1/75*k**5 - 1/300*k**6 + 15*k**2 - 4/15*k**3 + 0 + 0*k. Find x, given that j(x) = 0.
-4, 1
Let m(v) be the second derivative of -2*v**6/75 - v**5/5 + 32*v**4/15 - 24*v**3/5 + 84*v - 2. Factor m(z).
-4*z*(z - 2)**2*(z + 9)/5
Let q(j) = 15*j + 70. Let s be q(-7). Let l be (-22)/s + (-2)/20*2. Suppose 3/7*x**5 + 0 - l*x**4 - 3/7*x**3 + 3/7*x**2 + 0*x = 0. Calculate x.
-1, 0, 1
Let n be 8/20 + (-98)/(-105) + -1. Find f such that 1/3*f**5 - n*f**2 + 0 - f**4 + f**3 + 0*f = 0.
0, 1
Let n = -2045/23 - -89. Find f such that 2/23*f + n*f**2 - 4/23 = 0.
-2, 1
Let z(i) = -i**3 + 4*i**2 - 3*i + 2. Let j be z(3). Suppose 2*r = -2*r - 4*l + 24, -4*r + 16 = j*l. Factor 3*c - 5*c**r + c**2 + 2*c**2 - c.
-2*c*(c - 1)
Let f(h) = 5*h**5 - 16*h**4 + 40*h**2 + 4*h - 24. Let k(r) = -r**5 + 4*r**4 - 10*r**2 - r + 6. Let l(u) = 4*f(u) + 18*k(u). Find a, given that l(a) = 0.
-3, -2, -1, 1
Let y(u) = -3*u + 29. Let h be y(-8). Find a, given that -26*a**3 - 18*a**5 + 93*a**4 + 14*a**2 - h*a**4 - 10*a**2 = 0.
0, 2/9, 1
Let s(r) = r**3 + 4*r**2 - 3*r - 7. Let h be s(-4). Determine w, given that -1 + 8 + 8*w - h + 9*w**3 + 2*w**4 + 12*w**2 - w**3 = 0.
-1
Let l be 3/(-7) - 954/(-21). Suppose 3*k - 45 = 3*v, 3*k - v + 3*v = l. Let 13 - k - 2*m**3 + 4*m**3 - 6*m**2 + 6*m = 0. Calculate m.
1
Let h(y) be the second derivative of -1/147*y**7 + 0*y**2 + 0 + 1/21*y**4 + 19*y + 0*y**3 - 1/14*y**5 + 4/105*y**6. Solve h(i) = 0.
0, 1, 2
Let q(u) be the third derivative of -u**5/70 + 199*u**4/84 + 134*u**3/21 - 217*u**2. Solve q(l) = 0 for l.
-2/3, 67
Let m(z) be the second derivative of z**5/80 + 13*z**4/48 - 8*z**3/3 + 17*z**2/2 - 297*z. What is c in m(c) = 0?
-17, 2
Let l(b) be the third derivative of b**6/600 + b**5/150 - b**4/15 + 174*b**2. Factor l(g).
g*(g - 2)*(g + 4)/5
Let u be 9 + -6 - (-8)/(-1). Let l(g) = -4*g**2 + 3*g - 9. Let r(s) = -20*s**2 + 16*s - 44. Let z(n) = u*r(n) + 24*l(n). Determine h, given that z(h) = 0.
1
Let w(r) be the second derivative of -r**7/336 - r**6/80 - 3*r**5/160 - r**4/96 + 21*r + 4. Factor w(a).
-a**2*(a + 1)**3/8
Suppose -1928*m = -1890*m. Factor 1/4*p + 1/8*p**2 + m.
p*(p + 2)/8
Let d(a) be the second derivative of a**5/5 - a**4 - 20*a**3/3 + 192*a. Determine t so that d(t) = 0.
-2, 0, 5
Let p = 6 + -6. Let j be 1 + (p/(-1))/2. Solve l**5 + 0*l - 10*l**3 + 20*l**3 + 5*l**4 + 10*l**2 + 5*l + j = 0.
-1
Let y be ((25/2)/5)/(6/12). Let f = -5 + y. Factor f + 24/11*b**3 - 18/11*b**4 - 8/11*b**2 + 0*b.
-2*b**2*(3*b - 2)**2/11
Factor 58 + 1271 + 124*c - 10*c + 3*c**2 - 246.
3*(c + 19)**2
Let n(g) be the third derivative of -1/90*g**5 + 0 + 0*g**3 - 1/180*g**6 + 1/18*g**4 + 0*g + 12*g**2. Find s such that n(s) = 0.
-2, 0, 1
Let k be 2/15 + 6*(-312)/(-135). Suppose 0 = -2*v - k + 18. Factor 0 - 1/3*s**3 + 2/3*s**v + 0*s + 1/3*s**5 - 2/3*s**4.
s**2*(s - 2)*(s - 1)*(s + 1)/3
Let z(a) be the second derivative of a**6/45 - a**5/10 + a**4/9 - 100*a. Solve z(f) = 0.
0, 1, 2
Let t(k) = k**2 - 10*k - 2. Let v be t(9). Let s(m) = 5*m**2 - m. Let h(x) = 9*x**2 - 2*x. Let j(y) = v*s(y) + 6*h(y). Factor j(q).
-q*(q + 1)
Let x(d) be the third derivative of d**5/20 - 29*d**4/28 + 8*d**3/7 + 32*d**2. Find a, given that x(a) = 0.
2/7, 8
Let n(c) be the third derivative of -c**6/180 - c**5/90 - 16*c**2. Factor n(d).
-2*d**2*(d + 1)/3
Let y(m) = -m**2 - 9*m + 6. Let z be y(-7). Suppose 5*r = r + z. Suppose 4*t**4 - 2*t**r + 3*t**2 - 3*t**2 = 0. What is t?
0, 2
Let r(v) be the second derivative of 1/165*v**6 - 2/33*v**4 + 0 + 2/33*v**3 + 11*v + 3/11*v**2 - 1/55*v**5. Suppose r(y) = 0. Calculate y.
-1, 1, 3
Let g(o) be the third derivative of o**6/1620 - o**4/12 + 29*o**3/6 - 12*o**2. Let m(u) be the first derivative of g(u). Suppose m(j) = 0. Calculate j.
-3, 3
Let j = -1/56 - -463/840. Factor 2/3 + j*l - 2/15*l**2.
-2*(l - 5)*(l + 1)/15
Let v(q) be the first derivative of -11 + 0*q**2 + 1/4*q**4 + 0*q + 1/3*q**3. Factor v(o).
o**2*(o + 1)
Let t(d) = 4*d + 15. Let v be t(-3). Factor 7*f**v + 0*f - 4*f**2 - 10*f**3 - 4*f + 4 + 7*f**3.
4*(f - 1)**2*(f + 1)
Let j(a) = -a**3 + a**2 - 75*a - 5. Let t(g) = 4*g**3 - 4*g**2 + 376*g + 24. Let c(f) = -24*j(f) - 5*t(f). What is d in c(d) = 0?
-4, 0, 5
Let l(p) = -p**2 - 8*p + 5. Let m(x) be the first derivative of 2*x**3/3 + 23*x**2/2 - 14*x - 31. Let n(v) = -11*l(v) - 4*m(v). Solve n(i) = 0.
1/3, 1
Suppose -5*y = 5*u, -3*y = -2*u + 3*u. Suppose k + 2*k + 3*k = u. Factor 14/3*f**4 + 4/3*f**2 + 0 - 6*f**3 + k*f.
2*f**2*(f - 1)*(7*f - 2)/3
Let v(o) = -2 + 3 + o**2 - o**3 + o**4 + 0*o**2. Let m(s) = 11*s**4 - 15*s**3 - s**2 + 12*s - 1. Let d(t) = -m(t) + 3*v(t). Find y such that d(y) = 0.
-1, 1/2, 1
Let k be (170/(-1785))/((-2)/12). Solve 22/7*g - 6*g**3 + 16/7*g**2 + k = 0 for g.
-1/3, -2/7, 1
Determine i so that 4*i - 17*i**5 - 8 + 21*i**5 + 16*i**2 - 8*i**3 - 11*i**4 + 3*i**4 = 0.
-1, 1, 2
Determine a so that -56/23*a + 6/23*a**2 + 18/23 = 0.
1/3, 9
Factor 16/11 - 4/11*k**2 - 4/11*k + 1/11*k**3.
(k - 4)*(k - 2)*(k + 2)/11
Let y = -136 + 139. Let m(t) be the first derivative of 0*t - 2/33*t**y + 1 + 0*t**2. Let m(v) = 0. What is v?
0
Let k(d) = -d**3 + 2*d**2. Let y(a) = -3*a**3 + 8*a**2. Let g(j) = 4*k(j) - y(j). What is m in g(m) = 0?
0
Let r(x) = 4*x**4 - 19*x**3 + 19*x**2 + 3*x - 3. Let b(t) = 15*t**2 - t + t**3 + 1 + 0*t - 16*t**2. Let l(k) = -3*b(k) - r(k). Determine p, given that l(p) = 0.
0, 2
Let c(r) be the second derivative of -r**6/60 + 11*r**5/120 - r**4/24 - 11*r**3/36 + r**2/2 + 13*r. Suppose c(s) = 0. Calculate s.
-1, 2/3, 1, 3
Let n(v) = 23*v + 45. Let d(w) = -w**2 + 23*w + 45. Let l(z) = -2*d(z) + 3*n(z). Let l(q) = 0. What is q?
-9, -5/2
What is i in 6 - 21/4*i**2 + 15/2*i = 0?
-4/7, 2
Suppose 0 = 8*g - 2*g - 18. Let u(o) be the second derivative of 2*o**2 + 1/6*o**4 - o**g - 5*o + 0. What is k in u(k) = 0?
1, 2
Let o(b) be the first derivative of 3*b - 1/4*b**3 + 0*b**2 + 3/20*b**5 + 3/40*b**6 - 1/16*b**4 - 12. Let h(p) be the first derivative of o(p). Factor h(t).
3*t*(t + 1)**2*(3*t - 2)/4
Let c(k) be the second derivative of -1/4*k**4 - 4*k**3 - 12*k + 18*k**2 + 3/20*k**5 + 0. Factor c(g).
3*(g - 2)**2*(g + 3)
Let o(p) = -p**4 + 4*p**3 + p**2 - p - 3. Let y = 35 - 21. Let b = -13 + y. Let d(u) = -u**3 + 1. Let g(q) = b*o(q) + 3*d(q). Determine a, given that g(a) = 0.
-1, 0, 1
Let -1/10*z**2 - 3/2*z + 8/5 = 0. Calculate z.
-16, 1
Let l(z) be the first derivative of z**3 - 21*z**2/2 + 30*z - 43. Determine q, given that l(q) = 0.
2, 5
Suppose -31*z**4 - 135*z**2 + 627*z**2 + 222*z**3 - 53*z - 61*z + 4*z**4 - 6*z = 0. What is z?
-2, 0, 2/9, 10
Let z(k) be the first derivative of -4*k**3/3 + 26*k**2 - 48*k + 32. Factor z(h).
-4*(h - 12)*(h - 1)
Let j(y) be the third derivative of -4*y**5/75 + 13*y**4/120 + y**3/10 - 192*y**2. Solve j(g) = 0 for g.
-3/16, 1
Let t(k) be the third derivative of -3*k**6/140 - 37*k**5/105 - 31*k**4/21 - 8*k**3/7 - 2*k**2 + 283. Factor t(g).
-2*(g + 2)*(g + 6)*(9*g + 2)/7
Suppose -860 = -92*b - 32. What is n in -3/2 - 27/2*n**2 - b*n = 0?
-1/3
Let m(w) = -w**2 + 17*w - 30. Let q be m(14). Let z = q + -12. Suppose -1/2*o**2 + z + o - o**3 + 1/2*o**4 = 0. What is o?
-1, 0, 1, 2
Let b(j) be the first derivative of 1/2*j**4 - 2*j**2 - 2*j**3 + 31 + 6/5*j**5 + 1/3*j**6 + 0*j. Factor b(w).
2*w*(w - 1)*(w + 1)**2*(w + 2)
Let a(c) = -c - 3. Let w = -10 + 4. Let j be a(w). Determine p, given that -10*p**2 + 1 - 3 + 2*p**j + p**2 + 6*p + 3*p**2 = 0.
1
Let 5/2*r**2 - 2/5*r**3 + 0 + 4/5*r - 21/10*r**4 = 0. What is r?
-1, -1/3, 0, 8/7
Let a(i) be the first derivative of -i**6/90 + i**5/20 + 21*i + 12. Let r(j) be the first derivative of a(j). Let r(m) = 0. Calculate m.
0, 3
Let r = -926 - -928. Determine f so that 8/5*f**3 + 0 + 2/5*f**4 + r*f**2 + 4/5*f = 0.
-2, -1, 0
Let o = -24006 - -24006. Find k, given that -2/11*k**4 + 4/11*k + o*k**3 + 6/11*k**2 + 0 = 0.
-1, 0, 2
Let c be 132/(-22) + 9/1. Determine g so that 0*g + 0 - 1/2*g**c + g**2 = 0.
0, 2
Let u(j) be the first derivative of 12*j**5/65 + j**4/2 - 2*j**3/13 - 12*j**2/13 - 8*j/13 - 81. Determine g, given that u(g) = 0.
-2, -2/3, -1/2, 1
What is d in 2/7*d**4 - 382/7*d - 6/7*d**2 + 18*d**3 - 3