7 - 216/7*o**k - 76/7*o = 0.
-1, -1/2, 2/27
Suppose d + c - 7 = 0, 2*c + 12 - 16 = 3*d. Let w(i) be the second derivative of -57/4*i**4 + 0*i**3 + 6*i**d + 0 + 13*i - 21/5*i**5. Factor w(r).
-3*(r + 2)*(4*r - 1)*(7*r + 2)
Factor 6205*g - 4102934*g**2 + 2151110*g**2 + 2055*g - 1 - 2312401*g**2 - 3.
-(2065*g - 2)**2
Let i = 280 - 260. Solve 24*q**4 + 52*q**4 - i*q - 5*q**5 - 91*q**4 + 15*q**2 + 25*q**3 = 0.
-4, -1, 0, 1
Let q(a) be the first derivative of a**6/15 + 7*a**5/10 + 8*a**4/3 + 4*a**3 + 43*a + 56. Let b(d) be the first derivative of q(d). Factor b(v).
2*v*(v + 2)**2*(v + 3)
Let l = -5/442 + 15937/2210. Let x = l + -67/10. Factor -x - 1/4*n + 1/4*n**2.
(n - 2)*(n + 1)/4
Suppose -75*o**2 + 0 + 1/4*o**3 + 0*o = 0. Calculate o.
0, 300
Let f(r) be the first derivative of 5*r**3/12 - 175*r**2/8 - 1125*r/2 + 3526. Suppose f(s) = 0. What is s?
-10, 45
Let n(w) be the first derivative of 188 - 12*w**3 + 0*w + 75/4*w**2 - 3/8*w**4. Let n(b) = 0. What is b?
-25, 0, 1
Factor -72/5 - 1/5*w**2 - 27/5*w.
-(w + 3)*(w + 24)/5
Let f(a) = -a**3 - 6*a**2 - 4*a + 18. Let q be f(-4). Factor -3 + z**q - 4*z - 9*z + 9 + 6.
(z - 12)*(z - 1)
Let d(o) be the first derivative of -17/5*o**2 + 19/10*o**4 - 23 - 18/25*o**5 + 2/5*o**3 - 2/15*o**6 + 12/5*o. Find m, given that d(m) = 0.
-6, -1, 1/2, 1
Let p = -83/93 + 25435/1302. Let i = p - -617/42. Factor -i - 4/3*k**2 + 40/3*k.
-4*(k - 5)**2/3
What is v in 108*v + 36*v**2 - 276*v**5 + 168*v**5 + 111*v**5 - 3*v**4 + 9*v**4 - 69*v**3 = 0?
-6, -1, 0, 2, 3
Suppose -312*k - 3/5*k**2 - 40560 = 0. Calculate k.
-260
Let s be (32/(-20))/(5 - (-120)/(-25)). Let j be 29/20 + (-6)/s - 1. Suppose -j*h**2 - 2/5*h**3 + 0*h + 8/5 = 0. What is h?
-2, 1
Let b be 7 - 8126/1224 - 1/9. Let j(x) = -x**3 - 14*x**2 - 49*x - 4. Let q be j(-8). Factor q + 9/4*z**2 + b*z**3 + 6*z.
(z + 1)*(z + 4)**2/4
Suppose 106 = 4*g + 2*h, h - 64 = -4*g + 43. Suppose -g*w + 172 - 10 = 0. Factor 3/5*j**4 + 0 - w*j**3 + 15*j**2 + 0*j.
3*j**2*(j - 5)**2/5
Let m(w) be the third derivative of w**5/15 - 263*w**4 + 2*w**2 - 2*w - 3. Solve m(g) = 0 for g.
0, 1578
Let q be (119/(-14) - -8)*0. Let t = 801/4 - 5599/28. Factor q - 10/7*l + t*l**2.
2*l*(l - 5)/7
Let n(x) be the second derivative of -x**6/120 + x**5/2 - 209*x**4/48 + 85*x**3/12 + 2*x + 8179. Factor n(q).
-q*(q - 34)*(q - 5)*(q - 1)/4
Factor 70/11 + 2/11*w**2 - 72/11*w.
2*(w - 35)*(w - 1)/11
Let h(i) be the third derivative of i**9/26460 + i**8/1176 + i**7/490 - i**4/12 - 31*i**3/3 + 253*i**2. Let u(q) be the second derivative of h(q). Factor u(s).
4*s**2*(s + 1)*(s + 9)/7
Suppose -40*q + 125*q - 41*q + 23 = 111. Factor 4/7*v**3 + 288/7*v - 128/7 - 66/7*v**q.
2*(v - 8)**2*(2*v - 1)/7
Let h(a) be the first derivative of 9*a**4/4 - 65*a**3 + 987*a**2/2 + 351*a - 1322. Factor h(w).
3*(w - 13)*(w - 9)*(3*w + 1)
Let g(h) be the second derivative of -5/3*h**3 + 2*h**2 + 3/4*h**4 - 1/20*h**5 + 25*h + 0. Let d(f) = -f**4 - f. Let o(l) = 3*d(l) + 3*g(l). Factor o(x).
-3*(x - 1)**3*(x + 4)
Let l(i) = 21*i**5 - 3*i**4 - 78*i**3 - 18*i. Let s be 1*-2 - (4 + -11). Let p(w) = -6*w**5 + w**4 + 22*w**3 + 5*w. Let t(o) = s*l(o) + 18*p(o). Factor t(c).
-3*c**3*(c - 2)*(c + 1)
Let k = -6330 - -6330. Factor -2/3*t**2 + 4/3*t**3 + k + 2/3*t**4 - 4/3*t.
2*t*(t - 1)*(t + 1)*(t + 2)/3
Let h(b) be the third derivative of -b**4 - b**2 + 0 + 2/7*b**8 + 38*b - 32/35*b**7 + 1/2*b**3 + 13/20*b**6 + 13/20*b**5. Solve h(q) = 0.
-1/2, 1/4, 1
Determine h, given that -3/2*h**2 - 117*h + 237/2 = 0.
-79, 1
Determine l so that 342 + 1404*l - 5074 + 4*l**3 + 28*l**2 - 160*l**2 = 0.
7, 13
Let v(j) = j**2 + j. Let d(w) = -10*w**2 + 19*w + 21*w**2 - 9*w**2 - 2*w. Let i(a) = d(a) - 5*v(a). Let i(c) = 0. Calculate c.
0, 4
Let x = -91375/2 + 45743. Solve -x + 3/2*u**2 + 54*u = 0.
-37, 1
Let w(a) = -8*a**4 - 6*a**3 + 7. Let b = 737 - 744. Let r(j) = -7*j**4 - 6*j**3 + j**2 + 6. Let z(y) = b*r(y) + 6*w(y). Factor z(v).
v**2*(v - 1)*(v + 7)
Let b(l) be the first derivative of -2*l**5/25 - 30*l**4 - 596*l**3/5 - 892*l**2/5 - 594*l/5 + 426. Factor b(z).
-2*(z + 1)**3*(z + 297)/5
Let f be -1 - (3/(-7) - (-644)/(-98)). Suppose 6 = -5*x - 2*s, -2*s = -x + f - 0. Factor 2/7*w**2 - 2/7*w**3 + x + 0*w.
-2*w**2*(w - 1)/7
Let w(t) be the first derivative of 513/5*t**5 - 97 + 36*t**2 + 0*t - 123/2*t**4 - 76*t**3 + 63/2*t**6. Suppose w(x) = 0. What is x?
-3, -2/3, 0, 2/7, 2/3
Let v(m) be the second derivative of m**4/24 + 13*m**3/12 - 45*m**2/2 + 1523*m - 1. Factor v(p).
(p - 5)*(p + 18)/2
Let b(a) be the first derivative of 3*a**5/5 - 123*a**4/4 - 183*a**3 + 351*a**2/2 + 2430*a + 218. Factor b(q).
3*(q - 45)*(q - 2)*(q + 3)**2
Let o(t) be the third derivative of 1/15*t**5 + 0 + 1176*t**3 + 14*t**4 - 168*t**2 + 0*t. Let o(b) = 0. Calculate b.
-42
Suppose 255*s + 95 - 95 = 0. Let a(n) be the third derivative of 0 - 2/11*n**3 - 11*n**2 - 2/55*n**5 + 1/220*n**6 + 5/44*n**4 + s*n. Solve a(x) = 0 for x.
1, 2
Let r = -354 - -356. Let s be -10*(-20)/4950 + r/11. Let 4/9*c**3 - s*c**5 + 0*c**2 - 2/9*c + 0 + 0*c**4 = 0. Calculate c.
-1, 0, 1
Let g(z) be the second derivative of -1/60*z**5 + 5/9*z**3 + 0*z**2 + 44*z + 1/12*z**4 + 0. Find h such that g(h) = 0.
-2, 0, 5
Suppose -2*s - 52 = -l + s, -10 = -5*s. Let y = l - 53. Factor -y*x**4 + 8*x**4 + 2*x**3 - 2*x**4.
x**3*(x + 2)
Let m(l) be the third derivative of -169*l**5/15 + 2405*l**4/3 - 68450*l**3/3 + 2*l**2 + 1770. Factor m(g).
-4*(13*g - 185)**2
Let u(b) be the first derivative of b**4/4 - 5*b**3/18 - 2*b**2/3 - 182*b - 184. Let w(f) be the first derivative of u(f). Determine l so that w(l) = 0.
-4/9, 1
Let y(r) be the first derivative of 3*r**4/16 + 327*r**3/4 + 106929*r**2/8 + 3885087*r/4 - 331. Factor y(p).
3*(p + 109)**3/4
Factor -30*h**2 + 2/9*h**3 + 0 + 0*h.
2*h**2*(h - 135)/9
Determine s so that -559/9*s - 374/3 + 1/9*s**2 = 0.
-2, 561
Suppose 3*k = o - 4, k + 4 = o - 0*o. Factor 144*a - 78*a**3 - 37*a**3 - 112*a**2 - o*a**4 - 11 + 151*a**3 - 53.
-4*(a - 4)*(a - 2)**2*(a - 1)
Let g(y) be the first derivative of -766*y**3/15 - 768*y**2/5 - 8*y/5 + 4053. Factor g(v).
-2*(v + 2)*(383*v + 2)/5
Let q = -5 + 23. Solve 16 + q*v + 30*v - 26*v**3 - 12*v**2 + 10*v**4 - 8*v = 0.
-1, -2/5, 2
Let p(u) = -17*u + 23. Let a be p(-5). Solve 1444*n - a*n**2 - 97*n**2 + 4*n**3 - 12*n**2 + 65*n**2 = 0 for n.
0, 19
Let y(a) be the third derivative of 0*a**3 + 1 + 5/6*a**4 + 0*a + 1/15*a**5 - 39*a**2. Factor y(d).
4*d*(d + 5)
Let j(h) = h**3 + 9*h**2 + 2*h - 8. Let k be j(-6). What is i in -93*i + 3 - i**2 + 175*i - k*i - 12 = 0?
-3
Let c(y) be the third derivative of -y**10/378 - y**9/1260 + y**8/840 + y**4/6 + y**3/3 + 63*y**2. Let p(m) be the second derivative of c(m). Factor p(s).
-4*s**3*(4*s - 1)*(5*s + 2)
Let p be (-114)/(-24) + 4 - (-6)/(-8). Suppose 2*b - 2*f = 14, 5*b = 2*b - 4*f. Suppose 12*w - p*w + 6*w**b + 4*w**3 - 11*w**3 - 13*w**2 + 4 = 0. Calculate w.
-1, -1/2, 2/3, 2
Suppose t + 0*b = 3*b + 6, 6 = -t - 3*b. Suppose -n - n + 4 = t. Factor -3*y**3 + 4*y + 2 - 4*y**n - y**3 + 0*y**2 + 2.
-4*(y - 1)*(y + 1)**2
Let y(j) = j**2 - 13*j + 22. Let r be y(11). Suppose r = -2*b + 371 - 367. Factor -1/6*q**b + 1/3 + 1/6*q.
-(q - 2)*(q + 1)/6
Let i(z) be the first derivative of -z**7/252 - z**6/30 - 3*z**5/40 - z**4/18 + 17*z - 147. Let a(x) be the first derivative of i(x). Solve a(r) = 0 for r.
-4, -1, 0
Let d(j) be the third derivative of j**5/12 + 5*j**4/12 - 105*j**3/2 + 9*j**2 - 162. Determine n so that d(n) = 0.
-9, 7
Let x be -1 + (-19)/(-2)*2064/(-552). Let q = 5258/115 + x. Factor -16/5 - 2*z**3 + q*z**2 - 4*z.
-2*(z - 4)*(z - 1)*(5*z + 2)/5
Let a(u) be the third derivative of -u**8/1176 - 22*u**7/735 - 13*u**6/35 - 28*u**5/15 - 80*u**4/21 + 1468*u**2. What is s in a(s) = 0?
-10, -8, -2, 0
Let j be (-1859)/(-91) + -21 - 174/(-84). Let t be 46/40 - 2/5. Find w, given that -9/4 - 9/4*w**4 - j*w**3 + 3/4*w + t*w**5 + 9/2*w**2 = 0.
-1, 1, 3
Let u(m) be the second derivative of m**5/60 + 23*m**4/18 + 131*m**3/18 + 43*m**2/3 - 3548*m. Factor u(a).
(a + 1)*(a + 2)*(a + 43)/3
Let -1571*j**2 + 81*j**4 - 716*j**3 - 1521*j**2 - 1488*j - 256*j**3 - 336 + 932*j**2 = 0. Calculate j.
-2/3, 14
Let g be (-5373)/(-6)*(-10)/(-15). Suppose -6 = -y - 1, 2*p + 3*y = g. Find n, given that n - 292*n**5 - 2*n**3 - 3*n**4 + p*n**5 + 2*n*