f) be the third derivative of f**6/30 - 11*f**5/15 + 4*f**4/3 + 40*f**3/3 + 14*f**2 + 4*f. Determine c, given that y(c) = 0.
-1, 2, 10
Let w = 63 - 63. Suppose w = -4*g + 14*g. Factor g*l - 2/7*l**2 + 2/7.
-2*(l - 1)*(l + 1)/7
Factor -13/4*s - 1/4*s**2 + 0.
-s*(s + 13)/4
Let q = -18/1475 + 608/1475. Factor -2/5*l + q*l**2 - 4/5.
2*(l - 2)*(l + 1)/5
Let o = -217 - -224. Let n(q) be the first derivative of -1/14*q**4 + 2/35*q**5 + 0*q - 2/21*q**3 + 1/7*q**2 - o. Factor n(v).
2*v*(v - 1)**2*(v + 1)/7
Let n = 1185 + -223963/189. Let t = 214/189 + n. Factor -6/7*h**2 - t - 1/7*h**3 - 12/7*h.
-(h + 2)**3/7
Let k(v) be the first derivative of 0*v + 2/15*v**5 + 8/9*v**3 + 5/6*v**4 + 24 + 0*v**2. Factor k(s).
2*s**2*(s + 1)*(s + 4)/3
Let l(d) be the third derivative of d**6/24 - 5*d**5/6 + 20*d**4/3 - 80*d**3/3 + 12*d**2 + d. Factor l(s).
5*(s - 4)**2*(s - 2)
Let q(p) be the third derivative of -p**5/210 + 10*p**4/21 - 400*p**3/21 + 13*p**2. Determine f so that q(f) = 0.
20
Factor 64*k**2 + 4*k**4 + 57*k**2 + 4*k - 4*k**3 - 125*k**2.
4*k*(k - 1)**2*(k + 1)
Let i(y) = y**2 - 6*y - 15. Let m(b) = b**2 + b. Let g(q) = -i(q) + 2*m(q). Factor g(t).
(t + 3)*(t + 5)
Factor 13/6*j**2 + 20/3*j + 6 + 1/6*j**3.
(j + 2)**2*(j + 9)/6
Let b = -152293849/482145 + 21/32143. Let a = b + 316. Factor 0*m**4 - 2/15*m - a*m**5 + 0 + 4/15*m**3 + 0*m**2.
-2*m*(m - 1)**2*(m + 1)**2/15
Let v be -5 - (10/8)/((-1)/4). Let q(h) be the third derivative of -1/240*h**6 - 1/420*h**7 + 0*h**3 - 6*h**2 + v + 0*h + 1/48*h**4 + 1/120*h**5. Factor q(s).
-s*(s - 1)*(s + 1)**2/2
Let u(c) be the third derivative of -c**7/210 + 17*c**6/720 + c**5/72 - c**4/24 - 2*c**2 + 16. Find q, given that u(q) = 0.
-2/3, 0, 1/2, 3
Solve 3*t**3 + 119*t**2 + t**4 - 244*t**2 - 4*t + 125*t**2 = 0 for t.
-2, 0, 1
Let j(k) be the first derivative of k**4/18 + k**3/9 - 16*k + 9. Let h(r) be the first derivative of j(r). Factor h(s).
2*s*(s + 1)/3
Let a(i) = -i**2 + 20*i - 72. Let j be a(5). Find x, given that -3/5*x**j + 0 + 1/5*x**4 + 3/5*x**2 - 1/5*x = 0.
0, 1
Let t(o) be the first derivative of o**6/3 - 16*o**5/5 + 6*o**4 - 181. Find m, given that t(m) = 0.
0, 2, 6
Solve 368/13 + 252/13*a**2 - 536/13*a - 34/13*a**3 - 2/13*a**4 = 0.
-23, 2
Let w = -4088127/21160 + 3/4232. Let h = 194 + w. Suppose 2/5*k + h - 2/5*k**2 = 0. What is k?
-1, 2
Suppose 2*r = -o - 2*r - 2, 0 = 5*r + 10. Let k = o - 4. Factor -5*t**2 - t**k + 4*t**2 + 4*t**2.
2*t**2
Let q = 20 - 29. Let k = q + 11. Determine i so that k*i**4 + 2*i + 19*i**4 + 4*i - 6*i**3 + 5*i**2 - 26*i**2 = 0.
-1, 0, 2/7, 1
Let n(k) be the third derivative of k**8/112 - k**7/35 - 3*k**6/40 + 2*k**5/5 - k**4/2 + 253*k**2. Solve n(g) = 0 for g.
-2, 0, 1, 2
Let n(g) = 3187 - g**3 - 3187. Let b(k) = 3*k**3 - 2*k**2 + k + 2. Let q(i) = b(i) + 4*n(i). Factor q(r).
-(r - 1)*(r + 1)*(r + 2)
Suppose -2*g + 15 = 2*j - 13, 0 = 5*j - 2*g - 70. Let s(p) = p**3 - 13*p**2 - 15*p + 18. Let w be s(j). Factor 0 + 5/2*r**2 + 2*r**3 + r + 1/2*r**w.
r*(r + 1)**2*(r + 2)/2
Suppose -x + 10*x + 0*x**2 - x**2 + 13*x - 23*x + 12 = 0. Calculate x.
-4, 3
Determine i, given that 5/2*i**5 + 5*i + 0 - 5/2*i**4 + 5/2*i**2 - 15/2*i**3 = 0.
-1, 0, 1, 2
Suppose 8*s + 11 = 35. What is j in -6*j - 10*j - 27*j**4 + 9*j**2 + 0*j**s - 4 + 34*j**3 + 20*j**3 = 0?
-1/3, 2/3, 2
Factor -18 - 6*l + l**3 - 41*l + 32*l + 4*l**2.
(l - 3)*(l + 1)*(l + 6)
Let w(v) be the third derivative of -v**7/70 + 41*v**6/40 - 87*v**5/5 - 407*v**4/2 + 968*v**3 - 154*v**2. Determine k so that w(k) = 0.
-4, 1, 22
Suppose 563*r - 36288 - 22130 = -16193. Factor -r + 3/5*n**3 + 45*n - 9*n**2.
3*(n - 5)**3/5
Suppose 56*k = -81 + 193. Let 10 - 4*i + 2/5*i**k = 0. Calculate i.
5
Let o(n) be the second derivative of -n**4/84 - 3*n**3/14 + 16*n. Let o(g) = 0. Calculate g.
-9, 0
Suppose 5*w + 2*t = -1850, 3*w - 2*t = -2*w - 1830. Let h = -2568/7 - w. Determine n so that 4/7*n**3 + 4/7*n + 0 - h*n**2 = 0.
0, 1
Factor 216/11*h + 5832/11 + 2/11*h**2.
2*(h + 54)**2/11
Let j(l) = 2*l - 1. Let t be j(8). Let g be (-6)/t + ((-272)/140)/(-2). Factor -2/7*z**2 + g + 2/7*z.
-2*(z - 2)*(z + 1)/7
Let h(g) = 4*g**3 - 24*g**2 - 439*g + 18. Let z(x) = -x**3 + 6*x**2 + 110*x - 4. Let c(k) = 2*h(k) + 9*z(k). Factor c(d).
-d*(d - 14)*(d + 8)
Let o be 14414/140 - 6/(-480)*-8. Let -32/7 - 250/7*n**4 - o*n**2 - 800/7*n**3 - 256/7*n = 0. What is n?
-2, -2/5
Let u(y) be the first derivative of -1/10*y**5 + 1/6*y**3 + 1/12*y**6 + 2*y**2 + 23 + 2*y - 5/8*y**4. Suppose u(h) = 0. What is h?
-1, 2
Find f such that 192 + 24*f**2 - 459*f + 213 + 144*f - 81*f**2 - 5*f**3 - 28*f**2 = 0.
-9, 1
Factor 10*t**2 + 3*t**3 - 4*t**3 + 6*t**3 - 94 + 54 - 20*t.
5*(t - 2)*(t + 2)**2
Let o(x) = -5*x**3 - 85*x**2 - 75*x - 35. Let m(y) = -2*y**3 - 28*y**2 - 26*y - 12. Let u(h) = -10*m(h) + 3*o(h). Find f such that u(f) = 0.
-3, -1
Let j = 6 + -12. Let w(y) = -9*y**3 + 4*y - 5. Let a(l) = -10*l**3 + 4*l - 6. Let n(u) = j*w(u) + 5*a(u). Factor n(v).
4*v*(v - 1)*(v + 1)
Suppose -259*y + 1164 = 37*y + 92*y. Determine u, given that 80*u + 4/5*u**y + 16*u**2 + 0 = 0.
-10, 0
Let g(y) = 6*y**2 + y + 7. Let t(k) = -k**2 - 1. Suppose 4*a = -2*i - 2, 0 = -a - 5*i + 7 + 6. Let s(r) = a*g(r) - 14*t(r). Let s(x) = 0. Calculate x.
0, 1
Let k(v) = -v**3 + 5*v**2 + 9*v - 16. Let m be k(6). Factor -12 + 2*o + 2*o + 0*o**2 - 2*o + m*o**2.
2*(o - 2)*(o + 3)
Let i(u) = 6*u**4 + 25*u**3 - 11*u**2 - 35*u + 36. Let n(q) = -2*q**4 - 8*q**3 + 4*q**2 + 12*q - 12. Let v(p) = 4*i(p) + 14*n(p). Factor v(k).
-4*(k - 1)**2*(k + 2)*(k + 3)
Let v(n) be the first derivative of -n**4/2 + 58*n**3/3 - 28*n**2 + 220. Factor v(x).
-2*x*(x - 28)*(x - 1)
Let k(t) be the second derivative of -t**7/252 + t**6/30 - 13*t**5/120 + t**4/6 - t**3/9 - 19*t. Factor k(v).
-v*(v - 2)**2*(v - 1)**2/6
Let x be (-1)/(-2)*-2*0. Suppose 2*t - 3*i + 9 = x, -t = 4*t + i - 20. Factor -n - t*n + 8*n**4 - 8*n**2 - 10*n**5 + 14*n**5.
4*n*(n - 1)*(n + 1)**3
Let k(r) = -12*r**2 + 17*r + 4. Let t(q) = -11*q**2 + 16*q + 4. Suppose 3*v - 6*v = -15. Let n(b) = v*t(b) - 4*k(b). Factor n(c).
-(c - 2)*(7*c + 2)
Solve -6/7*a**2 + 2/7*a + 6/7*a**3 - 2/7*a**4 + 0 = 0 for a.
0, 1
Let z(u) be the third derivative of u**7/945 + u**6/540 - u**5/90 - u**4/108 + 2*u**3/27 - 8*u**2 + 10*u. Let z(c) = 0. Calculate c.
-2, -1, 1
Let k = 131 + -201. Let p = -66 - k. Factor 1/2 - 7/2*z + 15/2*z**2 - 13/2*z**3 + 2*z**p.
(z - 1)**3*(4*z - 1)/2
Let f(o) be the first derivative of -o**5/30 + o**3/9 + 5*o - 9. Let y(c) be the first derivative of f(c). Factor y(n).
-2*n*(n - 1)*(n + 1)/3
Let a be (3/(-12)*-4)/((-14)/(-830)). Let u = a + -59. Determine p so that -4/7*p**2 + u*p**4 + 0 + 2/7*p**3 + 0*p = 0.
-2, 0, 1
Let a(q) = -q**2 + 21*q + 34. Let l be a(22). Let r be (3/l*6)/((-4)/(-8)). Factor 1/3*x**r + 0*x + 0 + 0*x**2.
x**3/3
Let k = -1097/210 - -75/14. Suppose -6*y = -2*y. Suppose y*b - 2/15 + k*b**2 = 0. What is b?
-1, 1
Let r(q) = -7*q**4 - 31*q**3 - 46*q**2 - 27*q. Let n(p) = 3*p**4 + 15*p**3 + 23*p**2 + 13*p. Let a(m) = 5*n(m) + 2*r(m). Factor a(y).
y*(y + 1)**2*(y + 11)
Let x be ((-144)/60)/(8/(-20)). Let y(o) be the third derivative of 5/336*o**8 + 0*o**7 - x*o**2 + 0*o**4 + 0 + 0*o**6 + 0*o + 0*o**5 + 0*o**3. Factor y(k).
5*k**5
Find h such that -31*h**3 + 2345*h + 2880 + 260*h**2 + 5*h**4 - 69*h**3 + 55*h = 0.
-2, 12
Let l(m) = -2*m**2 - 11*m + 9. Let r be l(-6). Solve -3*w**2 - w**3 + 0*w**3 + 4*w**r = 0 for w.
0, 1
Suppose 14*k + 3 = 15*k. Factor 0 - k + 6*f - 66*f**2 + 63*f**2.
-3*(f - 1)**2
Let y be (-1224*1/(-5))/2. Let i = -122 + y. Find a, given that i*a**3 - 2/5 + 6/5*a - 6/5*a**2 = 0.
1
Let t(y) be the second derivative of -2*y**6/15 - 2*y**5/5 - y**4/3 - 35*y + 3. Suppose t(c) = 0. Calculate c.
-1, 0
Let p = 0 - -3. Let g(t) = -5 + 4*t**2 + 3*t + 0*t**2 - 2*t**2. Let r(q) = 2*q**2 + 4*q - 6. Let z(j) = p*r(j) - 4*g(j). Determine l, given that z(l) = 0.
-1, 1
Let w be (-2)/(-4*(-1)/(-2)). Suppose 17 = 9*q - w. Let -7*r**2 + r**2 - 2*r + 12*r**q = 0. Calculate r.
0, 1/3
Let m(p) be the third derivative of p**8/840 + p**7/525 - p**6/100 - p**5/30 - p**4/30 - 2*p**2 - 6*p. Suppose m(r) = 0. What is r?
-1, 0, 2
Let x be 13/(-182)*-7*(-1 - -5). Suppose -6/7 + 2/7*d**x - 4/7*d = 0. What is d?
-1, 3
Let b(k) = -k**2 - 4*k + 23. Let l(a) = -4*a + 25. Let d 