 0.
-5, 1/3
Suppose 25*c = 24*c + 4*l + 4990, 0 = 2*c - 3*l - 9995. Suppose -c - 2*q**2 + 5002 + 18*q = 0. What is q?
0, 9
Suppose 0 = -x - 3*i - 120 + 129, 3*i - 9 = 0. Let f(l) be the second derivative of 11*l + 5/3*l**3 - 5/12*l**4 + x - 5/2*l**2. Suppose f(g) = 0. What is g?
1
Let n(c) be the second derivative of c**6/240 - 11*c**5/160 + c**4/3 - 7*c**3/12 + 2802*c. Factor n(o).
o*(o - 7)*(o - 2)**2/8
Suppose 11*j = 15*j - 5*j + 5. Let w(g) be the first derivative of 5/4*g**4 + 5*g**3 + 9 + 15/2*g**2 + j*g. Find v, given that w(v) = 0.
-1
Let t be 164/10 - ((-48)/15)/(-8). Find a such that 24 + 7*a - 34 + t - 9*a**2 + 2*a**3 = 0.
-1/2, 2, 3
Let a be 0*(-4)/20 - -3. Factor 506*y**2 - 490*y + 209*y**a + 5*y**4 - 6898 + 1753 - 86*y**2 - 119*y**3.
5*(y - 3)*(y + 7)**3
Let f = 51485/6 - 8580. Let y(g) be the second derivative of 10*g + 0*g**2 + f*g**4 - 1/4*g**5 - 5/6*g**3 + 0. Factor y(l).
-5*l*(l - 1)**2
Let r(l) be the third derivative of 7/6*l**3 - 1/6*l**4 - 1/15*l**5 - 1/90*l**6 + 0 + 0*l + 14*l**2. Let b(h) be the first derivative of r(h). Factor b(z).
-4*(z + 1)**2
Let j(p) = -25*p**2 - 5429*p + 5435. Let s(r) = -8*r**2 - 1810*r + 1812. Let f(h) = -6*j(h) + 19*s(h). Factor f(w).
-2*(w - 1)*(w + 909)
Let w(m) be the second derivative of m**5/40 - 19*m**4/24 - 41*m**3/12 - 21*m**2/4 - m + 136. Factor w(t).
(t - 21)*(t + 1)**2/2
Let u = -309 - -312. Factor 76*l**2 - 400 - 2*l**3 - 2*l**u - 160*l - 160*l.
-4*(l - 10)**2*(l + 1)
Factor -487227/7*k + 0 + 2418/7*k**2 - 3/7*k**3.
-3*k*(k - 403)**2/7
Let p(n) be the second derivative of 27/8*n**2 + 7*n**4 + 75/8*n**3 - 147/20*n**5 + 3 + 27*n. Let p(v) = 0. Calculate v.
-3/14, 1
Suppose -7*d = -818 + 13. Let p = d + -113. Suppose -27*g**4 - 13*g**p + 9*g**3 + 9*g**2 + 10*g**2 - 30*g**5 = 0. What is g?
-1, -2/5, 0, 1/2
Let b = -166511/16 + 10407. Let o(i) be the second derivative of 0*i**5 + 0 - b*i**4 + 26*i + 0*i**2 - 1/12*i**3 + 1/120*i**6. Factor o(m).
m*(m - 2)*(m + 1)**2/4
Suppose -4*r + 22 + 26 = 0. Let z(n) = n**2 - 55*n + 520. Let y be z(43). Find p such that 3*p + y*p**3 + r*p**2 - 7*p**3 - p + p - 12 = 0.
-1, 1, 4
Let t(r) be the third derivative of 0 + 19/840*r**6 + 2/21*r**5 + 23/168*r**4 + 35*r**2 + 0*r + 1/21*r**3. Factor t(i).
(i + 1)**2*(19*i + 2)/7
Let p(y) be the first derivative of -y**7/420 + y**6/120 + y**5/40 - y**4/12 - y**3/3 + 4*y**2 + y - 36. Let q(f) be the second derivative of p(f). Factor q(d).
-(d - 2)**2*(d + 1)**2/2
Solve 2*s**2 - 27/2*s**3 - 7/2*s**4 + 3/2 + 17/4*s**5 + 37/4*s = 0.
-1, -3/17, 1, 2
Let b(g) be the third derivative of -g**7/490 - 59*g**6/140 + 239*g**5/140 - 15*g**4/7 + 3848*g**2. Find d such that b(d) = 0.
-120, 0, 1
Let m(a) be the third derivative of 0 - 3*a**2 + 7/36*a**4 + a - 1/180*a**6 + 0*a**5 + 2/3*a**3. Factor m(v).
-2*(v - 3)*(v + 1)*(v + 2)/3
Let k be (30/10 - 6) + (-117)/(-30). Let a(v) be the second derivative of 0*v**2 + 9/8*v**4 - 1/2*v**3 + 0 + 1/4*v**6 - k*v**5 - 11*v. Factor a(t).
3*t*(t - 1)**2*(5*t - 2)/2
Let s(v) be the first derivative of -v**5/10 + 11*v**4/16 + 95*v**3/12 - 25*v**2/4 + 3885. Determine j, given that s(j) = 0.
-5, 0, 1/2, 10
Let z(m) = 110*m - 2. Let f be z(4). Let s = f - 2156/5. Determine j so that -8/5 + 14*j**3 + 46/5*j**4 - 8/5*j + s*j**2 + 2*j**5 = 0.
-2, -1, 2/5
Suppose 462 - 548 + 1241 = 231*z. Let -6/5*w**4 + 3*w**z + 0 - 9*w**3 + 48/5*w**2 - 12/5*w = 0. Calculate w.
-2, 0, 2/5, 1
Let u(x) be the third derivative of 3*x**8/728 - 2*x**7/1365 - 51*x**6/260 - 29*x**5/39 - 9*x**4/13 + 40*x**3/39 + 3*x**2 + 8*x + 25. Let u(y) = 0. What is y?
-2, -1, 2/9, 5
Let k(o) be the third derivative of -16/63*o**3 - 1/630*o**5 + 22*o + 0 + 5/126*o**4 + 2*o**2. Determine t, given that k(t) = 0.
2, 8
Factor -4*k**2 + 84*k - 228*k - 339*k + 67*k - 2483 - 3977.
-4*(k + 19)*(k + 85)
Factor 17*h**2 - 3*h + 2521 + 3*h**3 - 1248 + h**2 - 1291.
3*(h - 1)*(h + 1)*(h + 6)
Let a(p) = -24*p**4 - 64*p**3 + 92*p**2 - 20*p + 20. Let v(s) = -73*s**4 - 194*s**3 + 276*s**2 - 61*s + 65. Let l(w) = 13*a(w) - 4*v(w). Factor l(f).
-4*f*(f - 1)*(f + 4)*(5*f - 1)
Let f = 8 + -4. Let h = 2354 - 2301. Let 54*n**3 - 112*n**3 + 5*n**f + 5*n + h*n**3 - 5*n**2 = 0. What is n?
-1, 0, 1
Let s be (150/25)/3*1. Factor -8/11 + 2/11*a**s + 0*a.
2*(a - 2)*(a + 2)/11
Let c(b) = -b**2 - 10*b + 38. Let l be c(-13). Let d be (3*l)/(378/(-84)). Find m such that -d*m**2 + 8/3*m + 10/3 = 0.
-1, 5
Let l(r) = 144*r**4 - 5992*r**3 + 32856*r**2 - 42740*r + 52. Let x(j) = 25*j**4 - 1042*j**3 + 5714*j**2 - 7433*j + 9. Let k(p) = 9*l(p) - 52*x(p). Factor k(a).
-4*a*(a - 58)*(a - 4)*(a - 2)
Let u(t) be the first derivative of -2*t**3/15 + 103*t**2/5 - 120*t + 1487. Factor u(i).
-2*(i - 100)*(i - 3)/5
Let m be (3/12*-4 + 3)*5. Let p be (-2)/m*(1 + -5). Factor p - 2/5*h**2 - 2/5*h.
-2*(h - 1)*(h + 2)/5
Find q such that -244950*q**3 - 96*q + 244899*q**3 + 486*q**2 - 28*q - 119*q + 0*q = 0.
0, 9/17, 9
Let s(w) be the third derivative of -w**5/40 + 189*w**4 - 571536*w**3 + 2*w**2 + 1703. Solve s(z) = 0.
1512
Let f be (-13810)/(-16572)*(-2 + (-28)/(-6)). Factor -2/9*y**2 - 14/3 - f*y.
-2*(y + 3)*(y + 7)/9
Let q(b) = b**2 + 9*b - 49. Let p be q(4). Suppose -7*i + 16 = -p*i, -4*o - 2*i + 40 = 0. Factor 16/3 + 4*a**2 + o*a + 2/3*a**3.
2*(a + 2)**3/3
Determine y, given that 1155*y**2 + 264*y - 589*y**2 - 563*y**2 + 765 = 0.
-85, -3
Suppose 5*l + 4*s = 24 + 6, 3*s + 6 = l. Suppose -g + l*g - 383 = -a, 0 = -5*a - g + 1987. Factor -398 - y + y**3 + a.
y*(y - 1)*(y + 1)
Let w(x) be the third derivative of -x**6/60 + 511*x**5/15 + 2047*x**4/12 + 1024*x**3/3 + 81*x**2 + 2. Factor w(c).
-2*(c - 1024)*(c + 1)**2
Determine h, given that -22/9*h**3 - 346/3*h**2 + 6808/9*h + 424/3 = 0.
-53, -2/11, 6
Solve 5*a**2 - 1232450 - 7*a**2 + 2056877*a - 2060017*a = 0 for a.
-785
Suppose 3389 = 19*f + 1052. Let a be f/72 + (-28)/21. Factor 3/8*p**3 - a*p - 1/4 + 1/8*p**2 + 1/8*p**4.
(p - 1)*(p + 1)**2*(p + 2)/8
Suppose -33 = -5*t + 3*s, -1348*t - 5*s = -1346*t + 24. Let i(m) be the second derivative of 1/18*m**4 - 8*m - 1/9*m**t + 0*m**2 + 0. Factor i(o).
2*o*(o - 1)/3
Factor 135/4 - 15/4*b**2 + 3/4*b**3 - 123/4*b.
3*(b - 9)*(b - 1)*(b + 5)/4
What is l in -5*l**3 + 9*l**4 - 1/3*l - 11/3*l**2 + 0 = 0?
-1/3, -1/9, 0, 1
Let o(p) be the first derivative of 6*p**2 - 1/3*p**3 + 13*p - 177. Factor o(w).
-(w - 13)*(w + 1)
Let f(a) = 31*a**3 - 1759*a**2 - 3494*a - 1749. Let t(b) = 10*b**3 - 4*b**2 + b. Let m(o) = -2*f(o) + 6*t(o). Let m(z) = 0. What is z?
-1, 1749
Let p(n) = -2*n**3 + n**2 + n + 1. Let l(f) = -2*f**3 - 2*f**3 + 86 - 59*f + 63*f**2 - 85. Let s(u) = -l(u) + p(u). Factor s(v).
2*v*(v - 30)*(v - 1)
Let j(a) be the third derivative of 57/8*a**4 - 1/70*a**7 + 3/8*a**6 + 0*a + 0 - 11*a**3 - 49/20*a**5 + 44*a**2. Find w, given that j(w) = 0.
1, 2, 11
Let -2*l**3 - 2*l**4 + 25*l**2 + 9*l**2 + 47*l + 49*l - 127*l + 73*l - 72 = 0. What is l?
-3, 1, 4
Let o be 3/(-21)*(527/(-102) + 4). Suppose -o*q**2 + q - 4/3 = 0. What is q?
2, 4
Let m = -1277 + 485. Let v = -788 - m. Solve 4/3*a**v + 2*a**3 - 8*a - 14/3*a**2 - 8/3 = 0.
-2, -1, -1/2, 2
Suppose -4*s = 5*y - 42, 0 = 3*y - 5*s - 0*s - 3. Suppose 3*r - y*r - 6 = -3*b, -3*b + 6 = 3*r. Solve 14*o + 18*o - 2*o**2 - 29*o + b = 0 for o.
-1/2, 2
Let g(r) be the second derivative of -71/2*r**2 - 35/3*r**3 - 1 + 112*r + 1/12*r**4. Factor g(f).
(f - 71)*(f + 1)
Let q(k) = 5*k**2 - 14*k**2 + 11*k**3 - 7 + 27 - 6*k - 12*k**3. Let s be q(-8). Factor -y**s + y**2 + 15*y + 2*y**3 - 4*y**3 - 13*y.
-y*(y - 1)*(y + 1)*(y + 2)
Let y(t) be the second derivative of t**6/660 - t**5/66 + 201*t**2/2 + 20*t. Let l(k) be the first derivative of y(k). Factor l(n).
2*n**2*(n - 5)/11
Let q be 39 - -268 - 1*-3. Solve -3*a**3 - a**3 - 4*a**3 - q*a**2 - 12*a + 282*a**2 = 0 for a.
-3, -1/2, 0
Let s(n) be the first derivative of -n**5/18 - 37*n**4/36 - 14*n**3/9 + 22*n**2 + 7. Let h(g) be the second derivative of s(g). Factor h(q).
-2*(q + 7)*(5*q + 2)/3
Let a(y) be the first derivative of 38*y + 1/30*y**4 + 1/5*y**3 + 15 + 2/5*y**2. Let o(w) be the first derivative of a(w). Find i such that o(i) = 0.
-2, -1
Let k(v) be the third derivative of -v**6/24 + 3*v**5/4 - 15*v**4/4 - 748*v**2. Suppose k(n) = 0. What is n?
0, 3, 6
Factor -8678 + 12825 - 4533*c + 9101 - 4*c**3 + 380*c**2 + 16