Determine f, given that -7*f - 2*f**2 - f**2 + 0*f - c*f = 0.
-3, 0
Let y(k) be the third derivative of 0 - 25/12*k**3 + 0*k - 5/4*k**4 - 1/20*k**6 - 23/60*k**5 - 1/420*k**7 - k**2. Determine u so that y(u) = 0.
-5, -1
Let u(z) be the first derivative of -z**6/9 - 4*z**5/15 + z**4/2 + 8*z**3/9 - 4*z**2/3 - 751. What is l in u(l) = 0?
-2, 0, 1
Solve 28*q**3 - 3*q**2 + 14*q**5 + 5*q**3 + 20*q**4 + 7*q**2 - 11*q**3 + 12*q**4 = 0.
-1, -2/7, 0
Let g be (1/(-4))/((-7)/14). Let r(m) be the second derivative of 6*m + 0 - 1/12*m**4 + g*m**3 - m**2. Determine k, given that r(k) = 0.
1, 2
Let c(z) be the third derivative of 0*z - 1/20*z**5 + 0 + 1/3*z**4 - 10*z**2 - 2/3*z**3. Factor c(a).
-(a - 2)*(3*a - 2)
Let h(n) = -n**5 + 4*n**4 + 6*n**3 + 8*n**2 + 3*n + 4. Let w(c) = -c**4 - c**3 - 2*c**2 - c - 1. Let d(b) = -5*h(b) - 20*w(b). Find x, given that d(x) = 0.
-1, 0, 1
Let j = 1689 - 1685. Let c(m) be the second derivative of 1/2*m**3 - 1/10*m**6 + 3/4*m**j + 0 - 3*m**2 - 7*m - 3/20*m**5. Find y such that c(y) = 0.
-2, -1, 1
Let n = 29 - 33. Let c be ((-7)/(-2))/((-2)/n). Factor -7 + c - 2*b - 2*b**2 + 0*b**2.
-2*b*(b + 1)
What is z in -2/7*z**5 + 18*z + 116/7*z**3 - 184/7*z**2 - 32/7 - 24/7*z**4 = 0?
-16, 1
Let a(m) be the first derivative of 2*m**5/35 - 3*m**4/2 + 14*m**3 - 49*m**2 + 83. Let a(p) = 0. Calculate p.
0, 7
Let q(m) be the first derivative of m**3 + 5 + 0*m + 1/90*m**5 + 2*m**2 - 1/6*m**4. Let d(o) be the second derivative of q(o). Find c such that d(c) = 0.
3
Suppose 4*j + 30 = -2*j. Suppose 0*r + 2*r + 24 = 0. Let g(w) = -15*w**2 + 30*w + 12. Let p(y) = 6*y**2 - 12*y - 5. Let h(z) = j*g(z) + r*p(z). Factor h(q).
3*q*(q - 2)
Let g be (-1073)/(-185) - (-1)/5. Let q(h) be the second derivative of -3/2*h**3 + h**4 - 3*h**2 + 9/20*h**5 - 1/5*h**g - 5*h + 0. Let q(d) = 0. Calculate d.
-1, -1/2, 1, 2
Factor 22352*f - 3*f**2 - 22384*f + 30 + 5*f**2.
2*(f - 15)*(f - 1)
Let b(a) be the third derivative of 11*a**8/84 + 4*a**7/5 - 41*a**6/30 - 148*a**5/15 - 10*a**4 + 32*a**3/3 - 191*a**2. Find y, given that b(y) = 0.
-4, -1, 2/11, 2
Let a = -321 - -325. Let b(z) be the second derivative of 0*z**2 + 3/10*z**5 + 0*z**3 + 0*z**a + 9/10*z**6 + 1/2*z**7 + 0 - 5*z. Factor b(k).
3*k**3*(k + 1)*(7*k + 2)
Let j be 264/57 - 16/4. Let i = 98/95 - j. Solve -2/5*a - i*a**2 + 0 + 2/5*a**4 + 2/5*a**3 = 0 for a.
-1, 0, 1
Factor 6/7*f**3 + 44/7*f**2 - 2/7*f**4 + 0 - 48/7*f.
-2*f*(f - 6)*(f - 1)*(f + 4)/7
Let s(w) be the third derivative of w**8/3360 - w**7/1680 - w**6/360 + 2*w**3 - 13*w**2. Let o(q) be the first derivative of s(q). Let o(i) = 0. Calculate i.
-1, 0, 2
Let i(k) be the first derivative of -k**5/35 - 3*k**4/14 + 8*k**3/7 - 13*k**2/7 + 9*k/7 - 220. What is y in i(y) = 0?
-9, 1
Let t(x) be the third derivative of -x**6/300 - x**5/75 + 17*x**2 + 7. Find q, given that t(q) = 0.
-2, 0
Let w = -156 + 168. Suppose -s + i + i = -w, -26 = -3*s + 4*i. Factor 0 + 2/11*b**s - 6/11*b.
2*b*(b - 3)/11
Let c(o) be the first derivative of -o**7/1260 - o**6/405 + o**5/540 + o**4/54 - 4*o**3 + 20. Let x(y) be the third derivative of c(y). Factor x(p).
-2*(p + 1)**2*(3*p - 2)/9
Let n(p) be the first derivative of 4*p**3/3 - 4*p**2 - 32*p + 493. Factor n(u).
4*(u - 4)*(u + 2)
Factor -4/3*o**2 - 160/3 + 88/3*o.
-4*(o - 20)*(o - 2)/3
Let x(l) = -l**2 - 12*l + 1. Let g be x(-12). Factor -3*h + 15*h - h - 4 - g - 2*h**2.
-(h - 5)*(2*h - 1)
Suppose 0 = 42*k - 47*k + 35. Suppose 0 = y - 9 + k. Factor 0 + 1/4*r - 1/4*r**y.
-r*(r - 1)/4
Let j(o) = -3*o + 2. Let f be j(-5). Suppose -13*m**2 - f*m**2 + 15*m**2 + 4*m - 21*m**2 + 32*m**3 = 0. Calculate m.
0, 1/8, 1
Let 24*z**3 + 556*z**2 - 39 + 125*z + 31*z**3 - 5*z**4 - 691*z**2 - 1 = 0. Calculate z.
1, 8
Suppose 2*l = -5*s - 0*l + 23, -5*s = -3*l - 3. Let b = 81537/4 + -20382. Find k, given that -3/4*k**s + 15/4*k**2 - 21/4*k + b = 0.
1, 3
Let o(f) = 8*f**5 - 21*f**4 + 3*f**3 + 10*f - 5. Let k(q) = 4*q**5 - 11*q**4 + q**3 + 6*q - 3. Let t(c) = -5*k(c) + 3*o(c). Find s such that t(s) = 0.
0, 1
Suppose n + 3 + 8 = 3*b, 2*b = 2*n + 6. Suppose v - 10 = -2*f, f - b*v + 0 = -4. Let 5/3*l**f - 10/3*l**3 - 5/3*l + 1/3 + 10/3*l**2 - 1/3*l**5 = 0. What is l?
1
Let g(j) be the second derivative of -j**6/30 - 9*j**5/20 - 2*j**4/3 + 10*j**3 - 8*j + 64. Factor g(c).
-c*(c - 2)*(c + 5)*(c + 6)
Let y(m) be the third derivative of -m**5/72 + 5*m**4/36 - 5*m**3/12 + 85*m**2. Suppose y(s) = 0. What is s?
1, 3
Let c(h) be the first derivative of h**6/6 - 17*h**4/4 + 12*h**3 - 10*h**2 + 206. Suppose c(p) = 0. Calculate p.
-5, 0, 1, 2
Let p be ((-15)/60)/((-9)/90). Find o such that p*o**2 + 5*o + 5/2 = 0.
-1
Suppose 0 = 291*y - 294*y + 15. Let p(x) be the first derivative of -9/2*x**4 + 0*x - 24/5*x**y - 3 + 3/2*x**2 + 0*x**3 - 3/2*x**6. Let p(b) = 0. Calculate b.
-1, 0, 1/3
Find c, given that -216 - 48*c**2 + 6*c**2 - 747*c + 543*c + 3*c**3 = 0.
-2, 18
Let r(m) be the second derivative of 5/19*m**2 + 7/114*m**4 - 1/190*m**5 + 51*m - 11/57*m**3 + 0. Suppose r(o) = 0. Calculate o.
1, 5
Let u be (-39)/(-65)*(-3)/(-162). Let d(a) be the third derivative of 0*a**3 + 7*a**2 + 0*a**4 - 1/360*a**6 + u*a**5 + 0*a + 0. Factor d(s).
-s**2*(s - 2)/3
Let m be (5 + 3 + -6)*(4 + -2). Let p = -1 - -2. Let i**2 + i**5 - i**3 - i**m + 0 - 1 + p = 0. Calculate i.
-1, 0, 1
Determine s, given that 12*s**2 + 96*s**3 + 3*s**2 - 6*s**2 + 4*s**4 - 9*s**2 = 0.
-24, 0
Let y(h) be the third derivative of h**7/84 + 5*h**6/24 + 3*h**5/8 + 2*h**2 - 275*h. Factor y(v).
5*v**2*(v + 1)*(v + 9)/2
Let a(g) be the first derivative of 0*g**4 - 1/35*g**5 + 1/7*g**2 - 4 + 1/7*g**3 + 0*g. Let a(l) = 0. Calculate l.
-1, 0, 2
Let l(i) = -13*i + i**3 - 4*i - 14*i + 17*i**2 - 14 + 12*i. Let j be l(-18). Suppose -17*q**2 + 8*q**3 + 5*q**4 + 21*q**2 - q**j = 0. Calculate q.
-1, 0
Let -2/9*k**2 + 14/9*k + 16/9 = 0. What is k?
-1, 8
Factor 42/5*g + 2/15*g**3 + 34/15*g**2 - 54/5.
2*(g - 1)*(g + 9)**2/15
Let f = 6 - 1. Suppose 3*v = 20 - f. Let 3*i**3 + i**3 - 2*i + 3*i**v - 5*i**5 = 0. Calculate i.
-1, 0, 1
Let r(a) be the first derivative of a**5/70 - a**3/21 + 6*a - 6. Let p(g) be the first derivative of r(g). Factor p(k).
2*k*(k - 1)*(k + 1)/7
Let 9*f**4 + 7*f**2 + 3 + 26*f**3 + 6*f + 17*f**2 - 5 + 1 = 0. Calculate f.
-1, 1/9
Let s = -6 + 8. Let k be (16/(-18))/(s - 4). Factor 0 - k*z + 10/9*z**2 + 2/3*z**3.
2*z*(z + 2)*(3*z - 1)/9
Let n = 1/1455 - -2899/16005. Factor 0*t**2 - 2/11*t**4 + n*t**5 - 4/11*t**3 + 0 + 0*t.
2*t**3*(t - 2)*(t + 1)/11
Factor 0 - 2/7*c**4 - 2/7*c**3 + 2/7*c + 2/7*c**2.
-2*c*(c - 1)*(c + 1)**2/7
Let p = 1407 + -1405. Let j(r) be the first derivative of -4*r + r**3 - 1/10*r**5 + 7 - r**p + 1/8*r**4. Let j(w) = 0. Calculate w.
-2, -1, 2
Let j be ((-4)/5)/((-12)/30). Suppose z - 2*z = -j. Factor -z*q**2 - 4*q - 8 + 13 - 7.
-2*(q + 1)**2
Let q be 0*(40/(-6))/20. Suppose 2/5*h**2 + 0*h**3 - 1/5 + q*h - 1/5*h**4 = 0. What is h?
-1, 1
Let b(h) = -h**2 + 4*h. Let v be b(3). Factor -2*m**3 - m**3 - v*m + 62*m**2 - 56*m**2.
-3*m*(m - 1)**2
Let p(o) be the third derivative of -o**6/90 + o**4/6 - 4*o**3/9 + 65*o**2. Solve p(l) = 0.
-2, 1
Suppose -155 = 4*u - 9*u. Let w = -31 + u. Factor -2/3*f**2 - 2/3*f + w.
-2*f*(f + 1)/3
Let v = 29 + -20. Suppose -8*q + v = -7. Factor 6*x - 11/2*x**q + 2 - 15*x**3 + 25/2*x**4.
(x - 1)**2*(5*x + 2)**2/2
Let n(j) be the first derivative of -15*j**6/2 + 47*j**5 - 365*j**4/4 + 205*j**3/3 - 15*j**2 - 219. Determine o, given that n(o) = 0.
0, 2/9, 1, 3
Let z(v) = -2*v**2 - 2. Let q(u) = 12*u**2 + 68*u + 128. Let r(o) = q(o) + 4*z(o). Solve r(a) = 0.
-15, -2
Let q(i) be the second derivative of 0 - 3*i - 3/8*i**2 - 1/6*i**3 - 1/48*i**4. Factor q(d).
-(d + 1)*(d + 3)/4
Let y(d) = d**2 + 35*d + 152. Let q be y(-5). Let 6 + 114*f + 1083/2*f**q = 0. What is f?
-2/19
Determine d so that -108 + 24*d - 4/3*d**2 = 0.
9
Let c(d) be the first derivative of -2*d**6/3 - 4*d**5 - 6*d**4 + 8*d**3/3 + 14*d**2 + 12*d - 68. Suppose c(q) = 0. Calculate q.
-3, -1, 1
Let w be (((-72)/(-22))/9)/((-60)/(-22)). Solve 0*v + 0*v**3 - w*v**4 - 2/15 + 4/15*v**2 = 0 for v.
-1, 1
Let w be 5*3*((-16)/(-3) - 5). Let o(t) be the first derivative of t**4 + 0*t - 12/25*t**w - 4/15*t**3 - 5 - 2/5*t**2. Factor o(c).
-4*c*(c - 1)**2*(3*c + 1)/5
Suppose -12*u + 50 = -7*u. Suppose 0 = -48*b +