3 - 8596854/5*q**2 - 2052941630481/5 - 1/5*q**4.
-(q + 1197)**4/5
Suppose -122*o - 336/5 + 11/5*o**2 = 0. What is o?
-6/11, 56
Let s be (-1)/(-5)*-4*50/(-20). Factor 5 - 5 + 514*b**2 - 509*b**s + 5*b.
5*b*(b + 1)
Suppose 2*j = -5*h + 48 - 14, -4*h = -4*j - 16. Let r(a) be the second derivative of 10*a**j + 0 - 5/12*a**4 + 0*a**3 - 18*a. Factor r(z).
-5*(z - 2)*(z + 2)
Solve -44/13*i**4 + 8/13*i**2 + 10/13*i**5 - 24/13*i + 0 + 50/13*i**3 = 0 for i.
-3/5, 0, 1, 2
Suppose 48*o = 13*o + 560. Let b be (196/34)/2 + o/136. Find x, given that 0 - 9/4*x**b - 21/4*x**5 + 3/2*x**2 + 0*x - 9*x**4 = 0.
-1, 0, 2/7
Suppose -252 = -2*v + 6*v. Let o = -61 - v. Suppose -6 + 2 - 5*q**2 + 4*q**2 + 3*q**o + 2*q = 0. Calculate q.
-2, 1
Let t be (4 + -10)/(-6) + 2. Suppose 0 = 4*a + 4*o - 20, -t*a - 4*o - 21 = -39. Factor 5/4*n**a + 5/2*n + 0.
5*n*(n + 2)/4
Let k(m) = m**3 - 57*m**2 - 502*m - 6. Let z(r) = -r**3 + 56*r**2 + 513*r + 8. Let f(p) = -4*k(p) - 3*z(p). Determine y, given that f(y) = 0.
-7, 0, 67
Let x(q) be the third derivative of 13/108*q**4 + 4/9*q**3 - 6*q**2 + 1/270*q**5 + 0*q + 0. Suppose x(c) = 0. What is c?
-12, -1
Suppose -17*k = -o - 22*k + 98, 5*k = 4*o + 83. Factor 6*n**4 + 0*n**2 + 3/2*n**5 + 0 + 6*n**o + 0*n.
3*n**3*(n + 2)**2/2
Let o be (-6)/2 - (6 - 7 - 6). Factor 24*g - 8*g + o*g**2 + 259 - 104*g + 225.
4*(g - 11)**2
Let -2/5*v**2 + 762/5 - 248/5*v = 0. What is v?
-127, 3
Let m(r) = r**3 - 6*r**2 + 3*r - 15. Let z be m(6). Determine b, given that -2*b**5 - 351*b**2 + 6*b**5 + 4*b**3 + 352*b**2 - 2*b**z - 7*b**4 = 0.
-1/4, 0, 1
Factor -201243/4*n**2 - 3 + 777*n.
-3*(259*n - 2)**2/4
Let s(y) = -12*y**3 + 2*y + 10. Suppose -21 = -10*o + 9. Let u(d) = 4*d**3 - d - 3. Let p(i) = o*s(i) + 10*u(i). Factor p(t).
4*t*(t - 1)*(t + 1)
Suppose w + x = 3, 3*w + 5*x = 4*w + 3. Factor v**2 - 15*v + 2*v - 11*v + w*v + 2*v.
v*(v - 20)
Suppose -3*j = -27*j + 4536. Let p be j/(-6)*(-9)/42. Factor -3/4*d**2 - p + 9/2*d.
-3*(d - 3)**2/4
Suppose -5*b - 2*p + 24 = 0, 4*p = -62 + 90. Suppose 1/5*f**b + 2 - 11/5*f = 0. Calculate f.
1, 10
Let v be 2/(-1) + 615/410 - (-53)/34. Solve 40/17*r + 24/17 + 2/17*r**3 + v*r**2 = 0.
-6, -2, -1
Let y(m) be the first derivative of -m**3/5 + 9*m**2/2 - 168*m/5 + 232. Factor y(f).
-3*(f - 8)*(f - 7)/5
What is z in 3/5*z**2 - 19608/5*z + 32039472/5 = 0?
3268
Let s be 2 + (-5)/2 - (-8)/16. Suppose 5*m - 48 + 38 = s. Factor 5*w - m + 14*w + 7*w + 6 + 22*w**2.
2*(w + 1)*(11*w + 2)
Let f be (-110060)/99 - 69/(-253). Let x = 1113 + f. Factor 0 + 2/9*h**3 + 2/3*h**2 - 22/9*h**4 + x*h**5 + 0*h.
2*h**2*(h - 1)**2*(7*h + 3)/9
Let k(m) = m**2 - 28*m + 117. Let f be k(23). Suppose f*z - 9 = a, 3*a - 7*z - 23 = -11*z. Factor 25/4*h**2 + h - 25/4*h**3 - a.
-(h - 1)*(5*h - 2)*(5*h + 2)/4
Let o(d) be the first derivative of -2/13*d**3 - 71 + 0*d - 2/13*d**2 - 1/26*d**4. Find h, given that o(h) = 0.
-2, -1, 0
Factor 4*m**3 + 1306*m + 121*m + 342*m**2 - 11843*m + 28224 - 7*m**3 + 3*m**2.
-3*(m - 56)**2*(m - 3)
Suppose 242 = -7*h + 326. Let n(s) be the third derivative of -25/2*s**3 - 1/20*s**5 + 0*s - 5/4*s**4 + 0 + h*s**2. Factor n(o).
-3*(o + 5)**2
Suppose o = -3*g + 120, -54*o + 56*o - 2*g - 264 = 0. Let n = 132 - o. Solve -3/4*s**n + 9/2*s**4 + 0*s + 0 + 0*s**2 - 27/4*s**5 = 0 for s.
0, 1/3
Suppose 59*m + 28*m = -1653, -3*u - 3*m - 47 = 2*u. Factor -80/11*w**2 - 2/11*w**4 + 0 + 96/11*w + u*w**3.
-2*w*(w - 4)**2*(w - 3)/11
Let p(v) = -v**2 - 3*v - 4. Let q(r) = 3*r**2 + 10*r + 13. Let h(z) = -8*p(z) - 3*q(z). Let m be h(-3). Factor 3*n**m - 2 + 7*n - 2*n**2 - 1 - 5*n.
(n - 1)*(n + 3)
Suppose 0 = -584*b - 11 + 1179. Factor -3/2*m**b + 24 - 9*m.
-3*(m - 2)*(m + 8)/2
Let z(b) be the third derivative of b**6/30 - 3*b**5/5 + b**4 + 112*b**3/3 + 244*b**2 - 14*b. Factor z(f).
4*(f - 7)*(f - 4)*(f + 2)
Factor -3*o**2 + 178 - 449*o - 380*o - 1138 + 147*o - 281*o.
-3*(o + 1)*(o + 320)
Suppose -6*i**3 - 405/4 - 108*i - 1/4*i**4 - 81/2*i**2 = 0. Calculate i.
-15, -3
Suppose 0 = 6*a - 60*a. Let v(q) be the second derivative of 1/15*q**6 - 8*q + 1/5*q**5 - q**2 - 2/3*q**3 + 0*q**4 + a. Factor v(w).
2*(w - 1)*(w + 1)**3
Suppose -4 = -4*n - 8. Let u be ((-108)/48)/(n/(4/1)). Factor 14*j**2 - 2 - 1 - j - 5 + u*j + 4*j**3.
2*(j + 2)**2*(2*j - 1)
Let b(i) be the third derivative of -11*i**5/10 + 65*i**4/12 + 2*i**3/3 - 701*i**2. Factor b(h).
-2*(h - 2)*(33*h + 1)
Solve -1/4*b**3 - 115/8*b + 31/8*b**2 + 25/4 = 0 for b.
1/2, 5, 10
Suppose -17*o = -18*o + 5. Factor -270*s**2 - 810 - 945*s - 929*s**3 + 40*s**4 + s**5 + 535*s**3 + 454*s**3 + 4*s**o.
5*(s - 3)*(s + 2)*(s + 3)**3
Let b(r) = 2*r**5 - r**4 + r**3 + r + 1. Let t(f) = -7*f**5 + 2*f**4 - 7*f**3 - 4*f - 4. Let q(s) = 4*b(s) + t(s). Factor q(n).
n**3*(n - 3)*(n + 1)
Let q(c) be the third derivative of c**5/100 - 1099*c**4/20 + 1207801*c**3/10 - 2*c**2 - c + 1748. Factor q(g).
3*(g - 1099)**2/5
Let j = -102700 - -102718. Suppose -j*a - 135 - 3/5*a**2 = 0. Calculate a.
-15
Let x be 5/((-110)/(-4)) - ((-426)/(-44) - 10). Let n = 241 - 241. Suppose i + n + x*i**2 = 0. What is i?
-2, 0
Let q = -28170 + 28172. Factor 0 - 1/2*r**5 - r**q - 2*r**4 - 5/2*r**3 + 0*r.
-r**2*(r + 1)**2*(r + 2)/2
Solve 2/11*t**4 - 182/11*t**3 + 0 - 522/11*t + 702/11*t**2 = 0.
0, 1, 3, 87
Let y(j) = 5*j**3 + 2*j**2 - 4*j + 3. Let x be y(1). Suppose -4*w - 4*p - 6 = -x*p, -5*p + 15 = 0. Suppose -1/3*t**3 - 4/3*t - 4/3*t**2 + w = 0. Calculate t.
-2, 0
Suppose 183/2 - 3/2*b**2 + 90*b = 0. Calculate b.
-1, 61
Let b(a) be the second derivative of a**5/5 + 184*a**4/3 - 754*a**3 + 3420*a**2 + 1932*a. What is p in b(p) = 0?
-190, 3
Let b be 9/3 - (-1 - 81)/2. What is a in 36*a**2 - b + 24 + 5*a**4 - 2*a**4 + 20 - 21*a**3 = 0?
0, 3, 4
Suppose 0 = -145*j + 142*j + 6. What is u in -3*u**2 + 28 + 11*u**2 + 26*u - 2*u**2 - 8*u**j = 0?
-1, 14
Let n(t) = -16*t**3 + t**2 + 2*t + 1. Let d(h) = -49*h**3 - 50*h**2 - 633*h + 696. Let j(y) = -2*d(y) + 6*n(y). Determine w so that j(w) = 0.
-33, -21, 1
Let a be (-4)/(-42) + -7 + (-1664)/(-168). Let r be 18*(-2)/(-20) + -5 + 4. Find g, given that 2*g**2 - 4/5*g - 2/5*g**a + 0 - r*g**4 = 0.
-2, 0, 1/2, 1
Let k(s) be the second derivative of -s**4/15 + 92*s**3/15 - 82*s**2 + 84*s - 29. Determine x, given that k(x) = 0.
5, 41
Let -97*b**2 + 35200 + 17544419*b**3 - 17544421*b**3 - 41*b**2 - 1440*b = 0. What is b?
-40, 11
Suppose -6*i + i = 4*a - 18, 4*i = -4*a + 16. Suppose -66 + 61 = -y. Factor 5/2*b**i - y + 5/2*b.
5*(b - 1)*(b + 2)/2
Suppose 830/7*v - 556/7 - 272/7*v**2 - 2/7*v**3 = 0. What is v?
-139, 1, 2
Let a(s) be the first derivative of -2/3*s**3 + 8*s + 154 - s**2 + 1/8*s**4. Factor a(v).
(v - 4)*(v - 2)*(v + 2)/2
Let w(d) be the first derivative of 6*d**5/7 + 11*d**4/14 - 76*d**3/21 + 4*d**2/7 + 16*d/7 + 202. Suppose w(b) = 0. Calculate b.
-2, -2/5, 2/3, 1
Let i(s) = 2*s + 8. Let m be i(5). Suppose 5*v - 5*z = 6*v + m, 5*z = v - 22. Find r such that 10*r**3 - 3*r**v - 2*r**4 - 400*r + 408*r - 13*r**2 = 0.
0, 1, 2
Find g such that -120/11 + 6/11*g**3 - 100/11*g**2 - 394/11*g = 0.
-3, -1/3, 20
Let f(h) be the third derivative of -h**6/420 + 16*h**5/7 - 319*h**4/28 + 478*h**3/21 + 38*h**2. Determine g so that f(g) = 0.
1, 478
Determine l so that 153*l**3 - 27*l**4 + 4655788*l - 4655779*l - 45*l**2 - 60*l**2 - 30*l**5 = 0.
-3, 0, 1/10, 1
Let v(u) = 26*u - 3. Suppose 104*f - 101*f - 3 = 0. Let c be v(f). What is y in c*y + 2*y**2 - 16*y - 11*y = 0?
0, 2
Let f(o) = o**2 - 9*o + 11. Let t be f(8). Suppose 9 = t*q - 6. Factor 3*w + 3*w**4 - 86*w**5 + 3*w**4 - 6*w**2 + 83*w**q.
-3*w*(w - 1)**3*(w + 1)
Factor 0 - 2/7*l**2 + 0*l**3 + 0*l + 2/7*l**4.
2*l**2*(l - 1)*(l + 1)/7
Let u(w) be the second derivative of w**4/72 + 7*w**3/9 + 15*w**2 + 3095*w. Determine z, given that u(z) = 0.
-18, -10
Let x(i) be the second derivative of 5*i**4/24 + 265*i**3/6 - 535*i**2/4 - 2539*i. Suppose x(f) = 0. Calculate f.
-107, 1
Let b(z) be the first derivative of 121*z**5/10 - 1243*z**4/8 + 637*z**3 - 1161*z**2 + 972*z - 1934. Solve b(u) = 0 for u.
1, 18/11, 6
Factor 216*t**2 + 1075*t**3 - 270*t**3 - 269*t**3 + 214 - 266*t**3 - 429*t - 271*t**3.
-(t - 214)*(t - 1)**2
Let r(g) be the first derivative of -g**4/6 + 14*g**3 - 360*g**2 + 1800*g + 7758. Solve r(y) = 0 for y.
3, 30
Let u(y) = -23 + 3470*y**3 + 30*y - 9*y**2 - 3469*y**3 