(w - 4)/3
Solve 131*y**3 - 607*y**3 + 75*y**4 + 195 + 620*y**2 - 102*y**4 + 2222*y**3 - 978*y - 20*y**2 = 0 for y.
-1, 1/3, 65
Suppose 15*w - 80 = -5. Let t(j) be the first derivative of 9/10*j**w - 3/2*j - j**3 + 3/4*j**4 + 1/4*j**6 - 6 - 9/4*j**2. Solve t(i) = 0 for i.
-1, 1
Let h(c) be the third derivative of 26*c**2 + 0 + 1/75*c**5 - 1/10*c**4 + 4/15*c**3 + 0*c. Find r, given that h(r) = 0.
1, 2
Let w be 24/32 + (-1)/(-4). Let a(x) = -x**3. Let r(v) = -36*v**4 - 46*v**3 - 16*v**2. Let q(b) = w*r(b) + 2*a(b). Factor q(f).
-4*f**2*(3*f + 2)**2
Let h(p) be the second derivative of -15/2*p**2 - 5/4*p**4 + 0 - 25/3*p**3 - 13*p. Factor h(a).
-5*(a + 3)*(3*a + 1)
Let x(d) be the third derivative of d**7/42 + d**6/4 + 5*d**5/12 - 3*d**2 - 31*d. Factor x(a).
5*a**2*(a + 1)*(a + 5)
Let b(t) = -t + 2. Let p be b(5). Let n be p/(0 + 45/(-2)). Factor -2/15*g**3 + 0*g + n*g**4 + 0*g**2 + 0.
2*g**3*(g - 1)/15
Let w be (-12)/30 - 12/(-35)*2. Solve -2/7*k**2 + 4/7 - w*k = 0 for k.
-2, 1
Let k = 1/149 - -295/447. Solve -2/3*m**2 + 0 + k*m = 0 for m.
0, 1
Let a = -86 - -99. Let y be (-50)/(-13) + (5 - 63/a). Suppose 5/6*k**5 - 1/3*k**2 - 5/6*k**3 + 1/3*k**y + 0 + 0*k = 0. Calculate k.
-1, -2/5, 0, 1
Let d(b) be the first derivative of -2*b**3/15 - 8*b**2/5 - 14*b/5 + 64. Factor d(j).
-2*(j + 1)*(j + 7)/5
Let k be (-296)/1 - 100/25. Let f be (-4)/(-30) + 5/(k/8). Factor -1/5*z**2 - 1/5*z**5 + f - 3/5*z**4 - 3/5*z**3 + 0*z.
-z**2*(z + 1)**3/5
Let p = 14939/42 - 2129/6. Solve -12/7*l**2 - p + 3/7*l**3 + 15/7*l = 0.
1, 2
Let n = 80 + -76. Determine o, given that -12*o**2 + 157*o - 153*o - n*o**3 + 6 + 6 = 0.
-3, -1, 1
Factor -20/9*f**3 + 34/9*f**2 + 0 - 16/9*f + 2/9*f**4.
2*f*(f - 8)*(f - 1)**2/9
Suppose -75 + 139 = 48*n - 80. Factor 12/7 + 6/7*s**2 - n*s + 3/7*s**3.
3*(s - 1)**2*(s + 4)/7
Suppose 4*k = -8*n + 11*n + 23, -49 = -12*k + 5*n. Solve -3/4*z - 1 + 1/4*z**k = 0 for z.
-1, 4
Let s(j) = j**2 - 2*j. Let a be s(3). Solve -2*d**a + 2*d**3 - 2*d**3 + 2*d**2 = 0.
0, 1
Let l(o) be the second derivative of -5*o**7/21 - 17*o**6/6 - 33*o**5/4 - 85*o**4/12 + 35*o**3/6 + 15*o**2 + 5*o + 12. What is q in l(q) = 0?
-6, -1, 1/2
Suppose 495*p + 156*p**2 - 5*p**3 + 255*p**2 + 250 - 171*p**2 = 0. Calculate p.
-1, 50
Find r, given that -7*r**2 - 6*r + 27*r**3 - r**2 - 13*r**2 + 7*r - 7*r**3 = 0.
0, 1/20, 1
Factor -44/5 - 4/5*l**2 - 48/5*l.
-4*(l + 1)*(l + 11)/5
Let a(i) be the first derivative of i**4 - 24*i**3 - 38*i**2 + 120. Suppose a(s) = 0. What is s?
-1, 0, 19
Let j = 18/13 + -28/39. Let n(z) = -176*z + 352. Let q be n(2). Factor -j*u - 2/3*u**2 + q.
-2*u*(u + 1)/3
Factor 4805/4*a + 155/2*a**2 + 0 + 5/4*a**3.
5*a*(a + 31)**2/4
Let o = -3/346 - -737/5190. Let n be 8/12 + -1 + 1. What is c in -n*c + o*c**2 + 8/15 = 0?
1, 4
Suppose 0 = -5*z + r - 1, 2*z + 52*r - 1 = 51*r. Let m(y) be the second derivative of z - 1/8*y**3 - 1/16*y**4 + 6*y + 3/4*y**2. Suppose m(s) = 0. Calculate s.
-2, 1
Let d be (2/4)/(((-72)/(-16))/3). Let m(l) be the first derivative of -4 + d*l**3 - 1/4*l**2 + 0*l - 1/8*l**4. Factor m(b).
-b*(b - 1)**2/2
Suppose 82 = 5*p - 18. Factor p*v**2 - 24*v**3 + 2*v**5 + 9*v**3 + 20*v - 10*v**4 + 3*v**5 + 0*v**5.
5*v*(v - 2)**2*(v + 1)**2
Let c(s) be the first derivative of 0*s**2 + 2/3*s**3 - 27 + 0*s - 5/6*s**4. What is d in c(d) = 0?
0, 3/5
Let s = 76 + -71. Factor 6 + 10*w + s*w**2 + 0*w**2 - 21.
5*(w - 1)*(w + 3)
Let l(v) be the first derivative of -v**7/1890 - v**6/405 - v**5/270 + 6*v**3 - 21. Let z(h) be the third derivative of l(h). Factor z(p).
-4*p*(p + 1)**2/9
Let u(d) be the third derivative of d**6/360 + d**5/36 + d**4/36 - 4*d**3/9 - 801*d**2. Solve u(p) = 0 for p.
-4, -2, 1
Suppose 5*o - 30*i + 34*i = 14, -2*i = 4*o - 10. Let q(k) be the second derivative of 1/7*k**3 + 1/28*k**4 + 0*k**o + 0 - 9*k. Let q(b) = 0. What is b?
-2, 0
Suppose -14*a + 16*a + 10 = 2*n, -2*a = -3*n + 10. Factor -1/6*q - 1/6*q**3 + n - 1/3*q**2.
-q*(q + 1)**2/6
Factor 4 - 34 - 4*a - 127*a**2 - 5*a**2 - 31*a**3 + 19*a**3 - 119*a.
-3*(a + 10)*(2*a + 1)**2
Let x = -15 + 16. Let k(y) = -8*y**5 + 18*y**4 - 20*y**3 + 24*y**2 - 2*y - 6. Let d(j) = j**5 - j**4 - j**3 - j + 1. Let a(w) = x*k(w) + 6*d(w). Factor a(p).
-2*p*(p - 2)**2*(p - 1)**2
Let l = 115157/45 + -2559. Let u(x) be the first derivative of l*x**5 - 9 + 2/27*x**3 - 1/9*x**4 + 0*x**2 + 0*x. Factor u(w).
2*w**2*(w - 1)**2/9
Let w be (-8)/(-6)*(-375)/(-10). Let z = 50 - w. Factor 3/5*t**5 - 12/5*t**4 + 12/5*t**3 + z + 0*t**2 + 0*t.
3*t**3*(t - 2)**2/5
Let r(l) be the first derivative of l**3/21 - 11*l**2/7 + 40*l/7 - 179. Find d such that r(d) = 0.
2, 20
Let v(p) be the second derivative of p**7/21 - 4*p**6/15 - 3*p**5/10 + 7*p**4/3 - 8*p**3/3 - 389*p. Factor v(t).
2*t*(t - 4)*(t - 1)**2*(t + 2)
Let p(i) be the third derivative of i**7/840 - i**6/160 + i**2 + 62*i. Factor p(m).
m**3*(m - 3)/4
Factor 0 - 4/3*m**2 - 10/9*m - 2/9*m**3.
-2*m*(m + 1)*(m + 5)/9
Let m(n) = -n + 8. Let q = 13 + -7. Let t be m(q). Factor -21 + 2*d**t + 24 - 5*d**2.
-3*(d - 1)*(d + 1)
Let u(a) be the second derivative of -14/15*a**6 - 16*a**2 - 56/3*a**3 - 27*a + 0 + 2*a**4 + 19/5*a**5. Determine c so that u(c) = 0.
-1, -2/7, 2
Let r(a) = 8*a - 49. Let g be r(14). Let m = g - 63. Factor 2/11*z**3 + 0*z + m*z**2 + 0.
2*z**3/11
Let a(f) = -18*f**4 + 48*f**3 + 30*f**2 - 20*f - 4. Let d(q) = 18*q**4 - 42*q**3 - 31*q**2 + 19*q + 5. Let i(y) = 3*a(y) + 4*d(y). Find n such that i(n) = 0.
-1, -1/3, 2/3, 2
Let w(k) be the first derivative of -k**4/40 - k**3/30 + k**2/20 + k/10 + 43. Factor w(a).
-(a - 1)*(a + 1)**2/10
Let j be (-140)/60 - 4*(0 - (-9)/(-12)). Factor -4/3*d + j*d**2 + 0.
2*d*(d - 2)/3
Factor -121032/5*b - 1476/5*b**2 - 6/5*b**3 - 3308208/5.
-6*(b + 82)**3/5
Let c(v) be the second derivative of v**4/78 + 5*v**3/13 + 14*v**2/13 + 398*v. Solve c(q) = 0.
-14, -1
Factor 12*t - 10*t**3 - 26*t**2 + 65 - 140 + 75.
-2*t*(t + 3)*(5*t - 2)
Suppose -s + 3 = 5*o, -4*o - 2 = -3*s + 6*s. Let b be o*4*(-17 - -18). Find k such that 5*k**4 - k**2 - 3*k**2 + 3*k**2 - b*k**4 = 0.
-1, 0, 1
Let v(r) be the third derivative of -r**6/540 + r**4/36 + 17*r**3/6 - 2*r**2. Let y(m) be the first derivative of v(m). Let y(q) = 0. Calculate q.
-1, 1
Let u = 1439/3 + -479. Let p(m) be the first derivative of 16/9*m**3 + u*m**4 - 2/15*m**5 - 1/18*m**6 + 1 - 32/3*m - 8/3*m**2. Factor p(n).
-(n - 2)**2*(n + 2)**3/3
Let g = 314/2745 - 1/305. Factor g*k**2 - 1/9 + 0*k.
(k - 1)*(k + 1)/9
Let j(c) be the second derivative of -c**6/200 + c**5/50 - c**4/40 - 4*c**2 - 3*c. Let g(z) be the first derivative of j(z). Find a, given that g(a) = 0.
0, 1
Let a = -1213 - -3640/3. Let w(b) be the second derivative of -1/20*b**5 - a*b**3 + 0*b**2 + 1/4*b**4 + 0 - 10*b. Determine x, given that w(x) = 0.
0, 1, 2
Factor 7*g + 11*g - 23*g - 2*g**3 - 2*g**2 + 29*g.
-2*g*(g - 3)*(g + 4)
Let r(l) = 4*l - 4. Let u be r(7). Suppose 0 = -u*b + 96. Suppose 2/11*a**b - 4/11*a**2 + 0 + 2/11*a**3 + 0*a = 0. Calculate a.
-2, 0, 1
Let b(w) be the third derivative of w**7/126 - w**6/4 + 31*w**5/12 - 50*w**4/9 - 160*w**3/3 + 308*w**2. Factor b(j).
5*(j - 8)**2*(j - 3)*(j + 1)/3
Suppose -5*c + 20 = -2*a + 3*a, -20 = 4*a. Suppose 0 = -2*w - 2*l, 0 = -2*w + w + c*l + 18. Find n such that 4/9*n**w + 0*n**2 + 0*n + 2/9*n**4 + 0 = 0.
-2, 0
Let s(d) = d**4 - 110*d**3 - 380*d**2 - 520*d - 229. Let n(x) = -x**4 + 55*x**3 + 190*x**2 + 260*x + 114. Let j(w) = 11*n(w) + 6*s(w). Factor j(k).
-5*(k + 1)*(k + 2)**2*(k + 6)
Let v be 1 - 7 - 7964/(-1086). Determine d, given that -2*d**3 - 4/3*d**2 + v + 2*d = 0.
-1, -2/3, 1
What is k in -103*k**2 - 3*k - 91*k**2 + 195*k**2 = 0?
0, 3
Let l(p) be the first derivative of -p**6/6 + 13*p**5 - 575*p**4/2 + 3070*p**3/3 - 2945*p**2/2 + 961*p + 214. Factor l(a).
-(a - 31)**2*(a - 1)**3
Let z(l) be the first derivative of l**4/18 - 58*l**3/27 - 10*l**2/3 + 14. Find v, given that z(v) = 0.
-1, 0, 30
Let u(v) be the second derivative of v**4/12 + 7*v**3/2 + 10*v**2 + 146*v. Let u(j) = 0. Calculate j.
-20, -1
Factor 2*z + 77/2 - 1/2*z**2.
-(z - 11)*(z + 7)/2
Let l(m) be the third derivative of -m**10/226800 - m**9/22680 - m**8/7560 - m**5/10 - 11*m**2. Let v(h) be the third derivative of l(h). Solve v(f) = 0 for f.
-2, 0
Let n(h) = -h + 1. Suppose 0*a + 3*a + 6 = 0. Let p(w) = w**