 + 10)/10
Let r = -1195 - -1200. Let w(j) be the second derivative of 0*j**3 - 23*j + 1/90*j**6 + 0*j**4 + 0*j**2 + 1/20*j**r + 0. Solve w(f) = 0 for f.
-3, 0
Let b = -950807/3 - -316943. Suppose -1/3*h**2 + b*h + 0 = 0. Calculate h.
0, 22
Let r(o) be the second derivative of -5/4*o**4 - 119*o - 3/2*o**3 + 9/20*o**5 + 0 + 2/5*o**6 + 3/2*o**2. Solve r(t) = 0 for t.
-1, 1/4, 1
Let p be 42/294*(-3 - 374/(-120)) + 0. Let f(k) be the third derivative of p*k**5 - 1/10*k**4 + 0*k + 3*k**2 + 0 + 2/15*k**3. Suppose f(u) = 0. Calculate u.
2/5, 2
Let l(f) be the first derivative of 0*f**2 + 3 + 1/12*f**4 + 0*f**3 - 1/20*f**5 + f. Let p(c) be the first derivative of l(c). Solve p(n) = 0 for n.
0, 1
Suppose 165*s - 1 + 0 = -1. Let k(t) be the first derivative of -2/9*t**2 + 2/9*t**3 + 7 - 1/18*t**4 + s*t. Let k(a) = 0. What is a?
0, 1, 2
Solve 0 - 80/7*t**2 + 6/7*t = 0.
0, 3/40
Let u = 233/5 + -221/5. Factor -u*b**3 + 4/5*b**2 + 0 + 0*b - 16/5*b**4.
-4*b**2*(b + 1)*(4*b - 1)/5
Let d(i) be the first derivative of -146/5*i**2 - 4/3*i**3 + 24*i - 73. Suppose d(y) = 0. Calculate y.
-15, 2/5
Suppose 2*a = 8*a - 12. Factor -16*o + o**2 + 0*o**a + 14*o.
o*(o - 2)
Suppose 3*r - k - 6 = 0, 2*r - 6*r = 2*k - 8. Find m such that 4*m**3 + 15 - 44*m**3 + 158*m - 15*m**r - 118*m = 0.
-1, -3/8, 1
Let a(c) = -c + 19. Let i be 45/(-5)*-2 + -1. Let f be a(i). Solve 55*w - 2*w**3 - 3*w**f - 56*w + 0*w**2 = 0 for w.
-1, -1/2, 0
Suppose 9*y = 1 - 100. Let c(j) = -8*j**2 - 60*j - 450. Let r(z) = -15*z**2 - 120*z - 900. Let f(h) = y*c(h) + 6*r(h). Let f(t) = 0. What is t?
-15
Let z(c) = 171*c**3 - 1092*c**2 + 1210*c - 83. Let r(a) = 56*a**3 - 359*a**2 + 403*a - 28. Let q(o) = -21*r(o) + 6*z(o). What is g in q(g) = 0?
2/25, 3/2, 5
Let d = -30 + 38. Suppose -v - 5 + d = 0. Suppose 4*j**2 + v*j + 4*j - 11*j = 0. Calculate j.
0, 1
Let b(o) = 5*o**3 - 25*o**2 - 5*o - 5. Let l(p) = -7*p**3 + 38*p**2 + 8*p + 8. Let s(t) = t + 3. Let c be s(5). Let v(k) = c*b(k) + 5*l(k). Factor v(y).
5*y**2*(y - 2)
Let g = 14794/415 - 2909/83. Factor -27/5*i + g*i**2 + 54/5.
3*(i - 6)*(i - 3)/5
Let c = -357 + 359. Factor -27*f + 8*f**c - 54 - 3*f**3 - 12*f**2 + 24*f**2 + 4*f**2.
-3*(f - 6)*(f - 3)*(f + 1)
Let u = 10081 - 10078. Let a(n) be the second derivative of 4/7*n**2 + 12*n + 1/42*n**4 + 0 - 4/21*n**u. Factor a(j).
2*(j - 2)**2/7
Let s(g) be the third derivative of -1/30*g**4 + 0 + 0*g + 1/150*g**5 - g**3 - 74*g**2. Factor s(w).
2*(w - 5)*(w + 3)/5
Let a = -1126/33 + 2285/66. Factor a*y**5 - 28*y**2 + 16*y + 18*y**3 - 5*y**4 + 0.
y*(y - 4)*(y - 2)**3/2
Let w(u) be the third derivative of 3946827*u**5/140 + 1147*u**4/14 + 2*u**3/21 + 8385*u**2. Determine f, given that w(f) = 0.
-2/3441
Let d(v) = 5*v**3 + 4*v**2 + 117*v - 156. Let c(r) = r**3 + r**2 + r - 8. Let l(s) = -6*c(s) + d(s). Factor l(b).
-(b - 9)*(b - 1)*(b + 12)
Solve 584747078*z + 4105265837/4*z**2 + 83453453 + 28109155/4*z**3 + 64267/4*z**4 + 49/4*z**5 = 0.
-437, -2/7
Factor 2/9*q**3 + 21587722000/9 + 4420/3*q**2 + 9768200/3*q.
2*(q + 2210)**3/9
Let v(l) be the third derivative of l**6/120 - 13*l**5/60 - 2*l**4/3 + 14*l**3/3 + 1076*l**2. Solve v(p) = 0 for p.
-2, 1, 14
Let 16/7 + 27/7*x**2 - 1/7*x**4 + 38/7*x + 4/7*x**3 = 0. What is x?
-2, -1, 8
Let g(w) = -14*w - 12. Let d be g(-1). Determine y, given that -5*y**2 - 8*y**4 + y**d + 35*y**5 + 9*y**3 + y**3 - 33*y**5 = 0.
0, 1, 2
Let z be 6/14*1 + 72/28. Let j be (-15)/(-25) - (-2 - 2/(-1)). Factor -27/5*v - j*v**z - 18/5*v**2 + 0.
-3*v*(v + 3)**2/5
Let u(l) be the third derivative of l**6/200 + l**5/10 + 23*l**4/40 + 7*l**3/5 - l**2 + 1001*l. Factor u(k).
3*(k + 1)*(k + 2)*(k + 7)/5
Let m(f) be the first derivative of -5*f**3/3 - 5835*f**2/2 - 7975. Factor m(y).
-5*y*(y + 1167)
Let d(b) be the second derivative of b**5/15 - 107*b**4/3 + 142*b**3 - 638*b**2/3 + 1060*b. Determine c so that d(c) = 0.
1, 319
Solve -39*p**2 - 1632 - 480*p + 1027 - p**3 - 1295 = 0 for p.
-19, -10
Let r be (30 + -29 + (-10)/12)*45/55. Let q(n) be the first derivative of -2 - 7/11*n**2 - 4/11*n - 4/33*n**3 + r*n**4. Factor q(t).
2*(t - 2)*(t + 1)*(3*t + 1)/11
Let i = -71 + 97. Suppose 6*y - i = 22. Factor 7*t**2 - 4*t**4 - 7*t**2 + 4*t**2 - y*t + 8*t**2.
-4*t*(t - 1)**2*(t + 2)
Let x be (1*(-3)/9)/(2/(-42)). Let n be 25/70*4 - (-4)/x. Suppose -13*y**n - 16*y - 19*y**2 + 32*y**2 - 4 - 12*y**2 = 0. What is y?
-1, -1/3
Suppose 21*g + 139 = -585*g + 303 + 1654. Solve 0 - 3*d**g + 1/2*d**2 - 1/2*d**4 + 3*d = 0.
-6, -1, 0, 1
Let p(i) = 31*i**2 + 51*i - 34. Let r(h) be the third derivative of 11*h**5/60 + 17*h**4/24 - 2*h**3 + 296*h**2. Let n(x) = 6*p(x) - 17*r(x). Factor n(l).
-l*(l - 17)
Let m(f) be the first derivative of f**4/2 - 194*f**3 + 1719*f**2 - 5130*f + 214. Determine v, given that m(v) = 0.
3, 285
Let q(i) be the first derivative of -16*i**5/15 - 19*i**4 - 4*i**3/3 + 296*i**2/3 - 112*i + 43. Suppose q(l) = 0. What is l?
-14, -2, 3/4, 1
Factor 2469*m**2 + 156*m - 51*m**3 - m**4 - 1560*m - 2973*m**2.
-m*(m + 6)**2*(m + 39)
Let l(x) be the second derivative of -x**7/63 + 4*x**6/45 + x**5/10 - x**4 - 3461*x. Factor l(j).
-2*j**2*(j - 3)**2*(j + 2)/3
Find o such that o**2 - 7*o**2 + 92 - 142 - 48*o - 4*o**2 + 12*o**2 = 0.
-1, 25
Let m = 18521 - 18518. Let t(a) be the second derivative of 0 + 1/20*a**4 - 3/20*a**5 + 1/2*a**m + 0*a**2 - 40*a - 1/50*a**6. Factor t(k).
-3*k*(k - 1)*(k + 1)*(k + 5)/5
What is p in -140*p - 3351 + 47*p - 3361 + 102*p**2 - 3351 + 10054 = 0?
-3/34, 1
Let m = -112 - -115. Determine j, given that j**4 - 4*j**4 + 33*j**2 + 0*j**3 + 6*j**4 + 36*j**m = 0.
-11, -1, 0
Let y = -212 - -405. Factor 180*b**2 - 177*b**2 - 78*b + 314 + y.
3*(b - 13)**2
Factor 61 - 232*g**3 + 4*g**5 + 61 - 178 + 56 + 228*g**4.
4*g**3*(g - 1)*(g + 58)
Suppose -59*p + 66*p + 441 = 0. Let h be 45/p*42/(-4). Factor -5/2*d**2 - 5 + h*d.
-5*(d - 2)*(d - 1)/2
Suppose -r + 2*g + 31 = -g, -2*g - 90 = -5*r. Factor 3*h**3 - 245*h**2 - r - 8 + 22*h + 264*h**2.
(h + 3)*(h + 4)*(3*h - 2)
Let q be (1869/84 + -18)*36/34. Let 15/2 - 57/2*y + 33/2*y**2 + q*y**3 = 0. What is y?
-5, 1/3, 1
Determine x so that -40/9*x + 250/9 - 2/9*x**2 = 0.
-25, 5
Let h be 15/(2 + ((-35)/(-50))/((-5)/10)). Factor h*b**3 + 0 + 80*b**2 - 320/3*b + 5/3*b**4.
5*b*(b - 1)*(b + 8)**2/3
Let v(o) be the first derivative of -83 + 32*o**2 + o**3 + 1200*o - 7*o**2 + 35*o**2. Factor v(w).
3*(w + 20)**2
Suppose 0 = 11*k - 559938 + 194837. Factor 40815 + 2353*t**2 - 2087*t + 146*t**3 + k*t + 2*t**4 - 13167 + 1247*t**2.
2*(t + 1)*(t + 24)**3
Let k(b) be the third derivative of b**6/432 + 31*b**5/72 + 4805*b**4/144 - 41*b**3/6 - 3*b**2 + 29*b. Let s(c) be the first derivative of k(c). Factor s(n).
5*(n + 31)**2/6
Suppose 213 = 6*v - 327. Factor v - 9*c - 114 + 4*c**3 + 8*c**2 - 11*c.
4*(c - 2)*(c + 1)*(c + 3)
Let w = -19617/8 + 294271/120. Find j, given that w*j**4 + 8/15*j**3 - 4/3*j - 2/5*j**2 + 16/15 = 0.
-4, -2, 1
Let l(b) be the second derivative of b**4/36 - 11*b**3/6 - 95*b**2/3 + 751*b. Suppose l(i) = 0. What is i?
-5, 38
Let h = -321/5 - -1018/15. Let j be (-169)/((-4225)/450) + 4*-4. Let h*r + r**2 + j = 0. What is r?
-3, -2/3
Let b(d) be the first derivative of -d**5/20 - d**4 - 10*d**3/3 - 221*d - 221. Let j(o) be the first derivative of b(o). Factor j(s).
-s*(s + 2)*(s + 10)
Let d(a) = 2*a**2 - 16*a + 196. Let o(u) = -6*u**2 + 54*u - 589. Let c(h) = 11*d(h) + 4*o(h). Find i, given that c(i) = 0.
10
Factor 122*r**3 + 51*r**2 - 119*r**3 - 18*r**2 - 420*r - 112 + 796.
3*(r - 6)*(r - 2)*(r + 19)
Let n be (-5)/2 + 1400/(-32). Let a = n - -191/4. Let -a + 1/2*h**2 - h = 0. Calculate h.
-1, 3
Let a(y) be the third derivative of -y**6/660 - 4*y**5/165 - 5*y**4/33 - 16*y**3/33 - 492*y**2. Factor a(z).
-2*(z + 2)**2*(z + 4)/11
Let p(v) be the first derivative of -131 + 3/20*v**4 + 0*v**2 + 0*v - 2/5*v**3. Factor p(r).
3*r**2*(r - 2)/5
Let u be (9180/(-594) - (-15 + 0))*(132/(-9))/4. Determine q so that 20/3*q + 5*q**2 + 0 - u*q**3 = 0.
-1, 0, 4
Let l(g) be the second derivative of 1/12*g**4 - 71 + 0*g**2 - 1/30*g**6 - 1/4*g**5 - 2*g + 5/6*g**3. Factor l(m).
-m*(m - 1)*(m + 1)*(m + 5)
Let u = 8425987/2006185 - 2/401237. Suppose -441/5 - u*q - 3/5*q**3 + 33/5*q**2 = 0. What is q?
-3, 7
Let g(s) be the second derivative of -31 - 26/21*s**3 - 8/7*s**2 - 1/7*s**4