. Suppose -2*c + 2 = -z*x + 7, 2*x + 3*c = 25. Factor -5*f**5 + x*f**3 + 10*f**5 - 10*f**3.
5*f**3*(f - 1)*(f + 1)
Let y(j) be the first derivative of -j**4/6 - 50*j**3/9 - 38*j**2 - 203. Solve y(w) = 0 for w.
-19, -6, 0
Let u(n) be the third derivative of n**7/210 - n**6/8 + 8*n**5/15 + 2*n**4 + 1613*n**2. Determine l so that u(l) = 0.
-1, 0, 4, 12
Let r = 22621 - 67828/3. Solve -28/3*k - 7/3*k**5 + 10/3*k**2 + r*k**3 - 8/3 - 2/3*k**4 = 0.
-2, -1, -2/7, 1, 2
Let q(d) be the first derivative of 48/5*d**2 + 9 - 256/5*d + 1/40*d**4 - 4/5*d**3. Factor q(h).
(h - 8)**3/10
Let f(n) be the first derivative of 1/6*n**5 + 8/9*n**3 + 0*n - 17/24*n**4 + 324 - 1/3*n**2. Factor f(i).
i*(i - 2)*(i - 1)*(5*i - 2)/6
Let o(v) be the second derivative of 5*v**7/42 - 9*v**6/10 + 13*v**5/20 + 91*v**4/12 - 23*v**3 + 28*v**2 - 1635*v. Let o(w) = 0. Calculate w.
-2, 1, 7/5, 4
Let l(d) be the first derivative of -15/4*d**4 + d**5 + 0*d + 0*d**2 + 36 + 10/3*d**3. Factor l(h).
5*h**2*(h - 2)*(h - 1)
Factor 0 + 270*l - 178/15*l**3 + 2/15*l**4 + 258*l**2.
2*l*(l - 45)**2*(l + 1)/15
Let q = -225941 + 225945. Find m such that 16/5*m**3 + 1/5*m**q + 46/5*m**2 - 144/5*m + 81/5 = 0.
-9, 1
Factor -11*n - 303*n - 86*n + 816 + 0*n**2 - 4*n**2.
-4*(n - 2)*(n + 102)
Suppose 3*p - 2 = -8, 0 = 3*w + 2*p - 2. Suppose -12 = -w*r + 12. Let 61*s**3 - 16*s**3 + r*s**5 + 21*s**5 - 72*s**4 - 6*s**2 = 0. Calculate s.
0, 2/11, 1
Determine l, given that -16*l**3 + 15435240*l - 12*l**3 + 9*l**3 - 17565*l**2 - 15417680 + 24*l**3 = 0.
1, 1756
Let h(j) be the first derivative of 9*j**5/5 + 201*j**4/4 + 19*j**3 - 201*j**2/2 - 66*j + 4570. Solve h(i) = 0.
-22, -1, -1/3, 1
Let q(u) be the second derivative of 3*u**5/140 + 13*u**4/28 - 169*u**3/14 - 6591*u**2/14 + 51*u + 8. Find o, given that q(o) = 0.
-13, 13
Let m(l) be the first derivative of -l**3/5 - 1632*l**2/5 + 3267*l/5 - 2834. Solve m(n) = 0.
-1089, 1
Let z be (-12609)/84240 - (189/39 + -5). Let w(v) be the third derivative of 0 + 0*v - z*v**5 + 3*v**2 - 1/8*v**3 + 1/24*v**4. Find m such that w(m) = 0.
1, 3
Let g(y) = y**3 - 55*y**2 - 196*y - 188. Let m(j) = -3*j**3 + 167*j**2 + 590*j + 564. Let l(a) = -19*g(a) - 6*m(a). Factor l(c).
-(c - 47)*(c + 2)**2
Let z(m) be the second derivative of 1/50*m**6 + 2*m - 6/5*m**2 - 4/5*m**3 + 3/50*m**5 - 3 - 3/20*m**4. Factor z(a).
3*(a - 2)*(a + 1)**2*(a + 2)/5
Let k be ((-36)/(-15))/(-19 - 232/(-10)). Find b such that -10/7*b + 12/7 - k*b**2 + 2/7*b**3 = 0.
-2, 1, 3
Let h(v) = -47*v + 169. Let y be h(-17). Let r be y/110 - 6/15. What is j in -8/5 + 6/5*j + 34/5*j**3 + 6/5*j**4 + r*j**2 = 0?
-4, -1, 1/3
Let m(t) be the third derivative of -t**7/5040 + 7*t**6/1440 + t**5/30 - 11*t**4/6 + 61*t**2. Let j(g) be the second derivative of m(g). Factor j(r).
-(r - 8)*(r + 1)/2
Suppose -b - 8 - 12 = 0. Let v be (-105)/b + (-1)/4. Factor -8*r**3 - 26*r + 12 + v*r**2 + 6*r**3 + 11*r**2.
-2*(r - 6)*(r - 1)**2
Factor -163 + 1606 + 12001*y**2 + 4*y**3 + 1065 - 12829*y**2 - 1684*y.
4*(y - 209)*(y - 1)*(y + 3)
Let i(z) = -15*z**3 + 1429*z**2 - 900*z - 3. Let x(u) = 15*u**3 - 1452*u**2 + 900*u + 4. Let a(n) = 4*i(n) + 3*x(n). Factor a(w).
-5*w*(w - 90)*(3*w - 2)
Let f be (-133)/(-35) - 4/5. Suppose 0 = -4*g - p + 15, -6*g + f*g - 3 = -4*p. Determine q so that q - 3*q**4 - 5 - 6*q**2 + 11*q - 12*q**2 + 12*q**g + 2 = 0.
1
Let w(s) be the first derivative of -s**4/4 - 30*s**3 - 966*s**2 + 4232*s + 2770. Factor w(x).
-(x - 2)*(x + 46)**2
Let o = -1427654 - -4282964/3. Factor -6*h**3 - 14*h**2 - 38/3*h - o*h**4 - 4.
-2*(h + 1)**3*(h + 6)/3
Let r be (-96)/(-10)*(34/(-6) + 469/67). Let 2/5*t**2 + 512/5 + r*t = 0. Calculate t.
-16
Let c = 14177/105990 - 3/7066. Let k(s) be the third derivative of 0*s**3 + 0*s - 12*s**2 + 1/5*s**5 - c*s**6 + 1/6*s**4 + 0. Factor k(v).
-4*v*(v - 1)*(4*v + 1)
Let y = 65 - -19. Let t = y + -22. Solve -6*u**2 + 3*u**4 + t*u - 62*u + 3*u**3 = 0.
-2, 0, 1
Let h be 6561/(-729) - (-576)/10. Let w(n) be the second derivative of h*n**2 + 0 + 18/5*n**3 + 1/10*n**4 - 27*n. Factor w(c).
6*(c + 9)**2/5
Let b = 196 - 192. Factor 4*s**b - 63 + 15*s**5 - 13*s**5 + 2*s**3 + 63.
2*s**3*(s + 1)**2
Suppose -3 = -1878*i - 1 - 2. Factor i - 10*o**2 + 0*o - 2/3*o**3.
-2*o**2*(o + 15)/3
Suppose -207 = 14*d - 151. Let y be d + (-14)/(-21)*14. Determine q, given that 88/3*q - y - 12*q**4 - 172/3*q**2 + 46*q**3 = 0.
1/2, 2/3, 2
Let q(a) be the second derivative of a**6/50 - 39*a**5/100 + 13*a**4/10 + 56*a**3/5 + 998*a + 2. Solve q(u) = 0 for u.
-2, 0, 7, 8
Let t(l) be the first derivative of -2*l**3/3 + 110*l**2 - 233. Factor t(p).
-2*p*(p - 110)
Let j(p) be the second derivative of -p**4/24 + 59*p**3/3 - 232*p**2 + 5211*p. Find a, given that j(a) = 0.
4, 232
Let q(c) = -5*c**2 - 55*c - 90. Let g(k) = -4*k**2 + k + 4. Let n be g(0). Let z(v) = -32*v + n*v + v**2 - 45 - 4*v**2. Let h(l) = 2*q(l) - 5*z(l). Factor h(w).
5*(w + 3)**2
Let b = 45571 - 410083/9. Find x, given that 0 - 40/9*x + 106/9*x**3 + b*x**2 + 10/9*x**4 = 0.
-10, -1, 0, 2/5
Let g be (-2 - -59 - 0) + 3. Let a = -58 + g. Factor 5*f**4 + 82*f**a + 2*f**3 - 2*f**3 - 87*f**2.
5*f**2*(f - 1)*(f + 1)
Let x(n) = n**2 + 1. Let v = -281 - -280. Let a(y) = 10*y**2 + 12*y + 14. Let z(r) = v*a(r) + 6*x(r). Determine m, given that z(m) = 0.
-2, -1
Let f(t) = -8*t**5 + 6*t**4 + 22*t**3 + t**2 - 7. Let k(v) = v**5 - v**3 + v**2 + 1. Let n be -9*(-15)/(-9) + -6. Let z(a) = n*k(a) - 3*f(a). Factor z(o).
3*o**2*(o - 8)*(o + 1)**2
Let a = 0 - 12. Let q(y) = 4*y**2 - 20*y + 12. Let o be 2 - (1/(-5))/((-15)/225). Let k(p) = p - 1. Let f(b) = a*k(b) + o*q(b). Determine c so that f(c) = 0.
0, 2
Let t(o) be the second derivative of 0*o**2 - 13/80*o**5 + 96*o - 1/120*o**6 + 0*o**3 + 0 + 7/24*o**4. Factor t(k).
-k**2*(k - 1)*(k + 14)/4
Let p(b) be the third derivative of -b**7/50 + 229*b**6/200 + 47*b**5/50 - 229*b**4/10 - 132*b**3/5 - 9*b**2 - 4*b + 9. Let p(i) = 0. What is i?
-2, -2/7, 2, 33
Factor 3/5*t**2 - 1017/5 - 1014/5*t.
3*(t - 339)*(t + 1)/5
Find m, given that 988607*m - 8274715*m - 11415*m**2 - 2203555405 - 5*m**3 - 1400707*m = 0.
-761
Suppose -60*s = -82*s + 572. Let h be s/(-78)*(0 - 1). Determine g, given that g + h + 2/3*g**2 = 0.
-1, -1/2
Let 0 - 15/4*z**3 + 15/2*z - 15/4*z**4 + 35/4*z**2 + 5/4*z**5 = 0. What is z?
-1, 0, 2, 3
Let n(f) = -f**5 + f**2 - 2*f + 1. Let q(a) = 12*a**5 - 152*a**4 - 244*a**3 - 64*a**2 - 16*a + 8. Let d(x) = 8*n(x) - q(x). What is k in d(k) = 0?
-1, -2/5, 0, 9
Suppose 11 = 3*z + 2. Let d be 24/(-88) - (-391)/748. Solve 1/2*g + 1/4*g**5 - 1/4*g**2 + d*g**4 - 3/4*g**z + 0 = 0 for g.
-2, -1, 0, 1
Let x = -5 + 14. Suppose x*a = 8*a + 22. Find z such that -a*z + 4*z**2 - 24*z - z**3 + 42*z = 0.
0, 2
Factor -35*r - 115*r - 4091*r**2 - 36*r**3 + 3956*r**2 - 3*r**4.
-3*r*(r + 2)*(r + 5)**2
Let m be 5/(48/(-336) + (-8)/(-7)). Suppose 3*p + 21 = -m*x + 42, -6 = -3*p. Factor -3*u**2 - 51/4*u - x.
-3*(u + 4)*(4*u + 1)/4
Let n(m) be the second derivative of m**7/315 - 79*m**6/225 - m**5/50 + 239*m**4/90 - 158*m**3/45 + 260*m. Find t such that n(t) = 0.
-2, 0, 1, 79
Let f(u) = -2*u + 18. Let h be f(8). Let a(r) = 12*r**2 - 22*r - 1. Let m be a(h). Find k, given that 8/9*k**4 - 2/9*k - 2/9*k**5 + 8/9*k**2 + 0 - 4/3*k**m = 0.
0, 1
Factor 257 - c**2 + 6*c - 44*c - 117 + 3*c**2.
2*(c - 14)*(c - 5)
Suppose -198*t - 115*t**2 + 88 + 106*t + 119*t**2 = 0. Calculate t.
1, 22
Let q = 487 - 484. Let o(h) be the first derivative of 2 + 10/9*h**2 - 2/27*h**q - 50/9*h. Find x, given that o(x) = 0.
5
Let d(t) be the third derivative of -t**7/1260 - 7*t**6/360 - 5*t**5/72 - t**4/12 - 2*t**2 - 494. Factor d(a).
-a*(a + 1)**2*(a + 12)/6
Let y(z) be the second derivative of -z**4/36 - 35*z**3/18 - 50*z**2 - 6184*z. Factor y(n).
-(n + 15)*(n + 20)/3
Factor -896/5*x + 456/5*x**2 + 0 - 4/5*x**3.
-4*x*(x - 112)*(x - 2)/5
Suppose 12*t = 6*t + 54. Suppose -8*f = -t*f + 1157. Factor -f*o**2 + 1157*o**2 + o**3 - o.
o*(o - 1)*(o + 1)
Suppose -96*n + 837 = -411. Let b(w) be the first derivative of -1/5*w**5 + 0*w**2 + 0*w**4 + 0*w + 1/3*w**3 - n. Suppose b(c) = 0. Calculate c.
-1, 0, 1
Suppose 2*o = 8 + 4. Suppose -8*j - o = -11*j. Factor j*m**2 - 36*m + 32*m**2 + 10*m**2 - 8.
4*(m - 1)*(11*m + 2)
Let n = -31997/5 + 6400. Let j(g) be the first derivative of -n*g**3 + 0*g + 1/2*g*