Factor p(r).
2*(r + 2)**2*(7*r + 4)**2/11
Factor 14970*m**2 - 3052 + 19582 - 5130*m**2 + 8434 + 13864*m**2 + 49296*m - 624*m**3 + 4*m**4.
4*(m - 79)**2*(m + 1)**2
Determine f, given that 2/7*f**3 + 38/7*f + 0 - 40/7*f**2 = 0.
0, 1, 19
Determine v, given that -6400/3 - 1/3*v**2 + 160/3*v = 0.
80
Factor -2/7*i**2 - 16200/7 - 360/7*i.
-2*(i + 90)**2/7
Let t = 859/12 + -214/3. Let o(v) be the first derivative of -2/3*v**3 + 0*v - t*v**2 - 4 + 1/8*v**4 + 2/5*v**5. Let o(s) = 0. Calculate s.
-1, -1/4, 0, 1
Let l(y) = -y**2 - y + 1. Let z(x) = -x**2 + 3*x - 7. Let b be 10/16 - 6/(-16). Let p(g) = b*z(g) - 5*l(g). Let p(o) = 0. What is o?
-3, 1
Let v(p) be the third derivative of p**10/50400 + p**9/10080 + p**8/6720 - p**5/60 - 18*p**2. Let t(f) be the third derivative of v(f). Factor t(m).
3*m**2*(m + 1)**2
Let h(v) be the second derivative of -v**8/6720 + v**6/240 + v**5/60 + v**4/32 - 5*v**3/6 + 2*v. Let r(g) be the second derivative of h(g). Factor r(s).
-(s - 3)*(s + 1)**3/4
Let u(g) be the third derivative of -1/36*g**5 - 1/72*g**6 + 0 + 0*g - 1/36*g**3 - 5/144*g**4 - 1/2016*g**8 - 1/252*g**7 - g**2. Factor u(w).
-(w + 1)**5/6
Determine f, given that 1158*f**4 - 576*f**4 - 581*f**4 + 3*f**3 = 0.
-3, 0
Let t = 31271/21 + -1488. Let g = t + 1/3. Factor g*o**4 + 2/7*o**5 + 4/7*o + 2*o**2 + 0 + 18/7*o**3.
2*o*(o + 1)**3*(o + 2)/7
Let h(g) be the second derivative of -g**7/504 + g**6/720 - 3*g**4/4 - 18*g. Let q(k) be the third derivative of h(k). Factor q(w).
-w*(5*w - 1)
Let z(n) = 6*n - 6. Let w be z(3). Let r be (20/w + -3)*-3. Factor -6*k**3 - 6*k**2 + 0*k**2 - 2*k**r + 2 - 2*k - 2.
-2*k*(k + 1)**3
Let f(p) be the third derivative of p**5/100 - 3*p**4/40 - 9*p**3/5 - 219*p**2 + 3*p. Factor f(y).
3*(y - 6)*(y + 3)/5
Let s(t) be the third derivative of t**6/240 - t**5/60 - 68*t**2. Factor s(f).
f**2*(f - 2)/2
Let o(c) = -2*c**3 - c**2 + c. Let t(q) = 10*q**3 + 20*q**2 + 10*q. Let g(w) = 12*o(w) + 2*t(w). Factor g(p).
-4*p*(p - 8)*(p + 1)
Let m(s) = -11*s**4 + 10*s**3 + 53*s**2 + 5*s - 96. Let l(v) = 16*v**4 - 14*v**3 - 79*v**2 - 7*v + 144. Let c(b) = 5*l(b) + 7*m(b). Factor c(g).
3*(g - 2)**2*(g + 2)**2
Determine k so that 7*k**3 - 18 - 3*k**4 + 0*k**3 + 9*k**2 + 2*k**3 + 0*k**3 - 21*k = 0.
-1, 2, 3
Let v(g) = -g**3 - g + 1. Let w(a) = 8*a**3 + 4*a**2 - 16*a + 8. Let k(h) = -h**2 - 15*h + 58. Let r be k(-18). Let l(p) = r*v(p) + w(p). What is y in l(y) = 0?
-3, 1
Let i(f) be the third derivative of -1/8*f**4 - 14*f**2 + 0 + 0*f - 7/40*f**6 + 0*f**3 + 1/4*f**5 + 3/70*f**7. Factor i(g).
3*g*(g - 1)**2*(3*g - 1)
Let s(l) be the first derivative of 48*l**4 - 16*l**3 + 3*l**2/2 - 177. Factor s(g).
3*g*(8*g - 1)**2
Let p(a) be the first derivative of 8*a**5/25 + 13*a**4/2 + 32*a**3/15 - 208. Let p(b) = 0. What is b?
-16, -1/4, 0
Factor 92/7*v + 86/7*v**2 + 6/7.
2*(v + 1)*(43*v + 3)/7
Let a(v) = 82*v - 7 + 23*v**3 - 15*v**3 - 12*v**3 - 37*v**2. Let q(u) = -u**3 - 12*u**2 + 27*u - 2. Let o(p) = 4*a(p) - 14*q(p). Factor o(k).
-2*k*(k - 5)**2
Let d(u) be the third derivative of -u**5/120 + u**4/16 + 7*u**3/3 + 11*u**2 - u. Factor d(f).
-(f - 7)*(f + 4)/2
Factor 3600*z**2 + 590*z**3 + 3250*z**3 + 4*z**5 + 244*z**4 + 0*z**5 - 11*z + 11*z.
4*z**2*(z + 1)*(z + 30)**2
Determine q, given that 100*q - 372/7*q**2 + 68/7*q**3 - 4/7*q**4 - 56 = 0.
1, 2, 7
Let g(h) be the second derivative of -h**4/6 + 13*h**3/3 - 12*h**2 + h - 34. Factor g(t).
-2*(t - 12)*(t - 1)
Find r, given that 2/7*r**4 + 82/7*r**3 + 1422/7*r - 642/7*r**2 - 864/7 = 0.
-48, 1, 3
Let k(s) be the third derivative of -s**8/2016 + s**7/420 + s**6/120 - s**5/36 - 7*s**4/48 - s**3/4 - 183*s**2. Solve k(i) = 0 for i.
-1, 3
Solve -34*l**3 + 37*l**3 - 7*l**2 + l**2 = 0 for l.
0, 2
Let g(c) be the second derivative of -c**4/20 + 7*c**3/5 - 147*c**2/10 - 114*c. Determine l so that g(l) = 0.
7
Let n(c) be the third derivative of c**7/504 - c**6/120 + c**5/120 + c**4/72 - 7*c**3/3 + 7*c**2. Let f(o) be the first derivative of n(o). Solve f(t) = 0.
-1/5, 1
Let y be 13 + -10 - (3 - (0 + 2)). Let v(n) be the second derivative of 0 + 1/12*n**4 + 1/3*n**3 + 0*n**y + 6*n. Factor v(b).
b*(b + 2)
Let b(h) be the first derivative of h**3/3 + 2*h**2 - 5*h + 45. Factor b(z).
(z - 1)*(z + 5)
Determine n, given that 5*n - 3837 + 1749 - 5*n**2 - 3996 + n**2 - 317*n = 0.
-39
Suppose -5*b + 23 - 8 = 0. Find a, given that -a + 0*a**4 + 2*a**4 + a**b - a**4 - a**2 = 0.
-1, 0, 1
Let n = 7752/4315 + 3/863. Factor -3/5*o**3 - n*o - 9/5*o**2 - 3/5.
-3*(o + 1)**3/5
Let i(w) be the first derivative of -w**5/5 + w**4 + 5*w**3/3 + 81. Factor i(q).
-q**2*(q - 5)*(q + 1)
Suppose 21 = 2*k - k + 4*f, 3*f = -3*k + 27. Factor -180*m**4 - 89*m**5 - 2*m**k - 20*m**3 - 314*m**5.
-5*m**3*(9*m + 2)**2
Let o = -9 - -149. Let q = -416/3 + o. What is u in q + 2*u**3 - 14/3*u + 4/3*u**2 = 0?
-2, 1/3, 1
Factor -59858/5 - 2/5*d**2 + 692/5*d.
-2*(d - 173)**2/5
Factor 18*i + 20 - 13*i**2 + 2*i**2 + 9*i**2.
-2*(i - 10)*(i + 1)
Suppose -90*x + 10*x - 6*x = -172. Find t such that 2/3*t**3 + 2*t + 2/3 + 2*t**x = 0.
-1
Let g(p) be the second derivative of -p**7/11340 + 2*p**6/405 - 16*p**5/135 + 19*p**4/6 - 30*p. Let h(j) be the third derivative of g(j). Factor h(a).
-2*(a - 8)**2/9
Let h(j) = -j**3 + 9*j**2 + 13*j - 30. Let b be h(10). Let t(f) be the third derivative of 0*f**3 - f**2 + 0 + 0*f**4 + b*f - 1/210*f**5. Factor t(n).
-2*n**2/7
Let b(p) be the second derivative of -p**5/140 + 23*p**4/84 - 143*p**3/42 + 121*p**2/14 + 8*p - 2. Factor b(a).
-(a - 11)**2*(a - 1)/7
Suppose -109 = -59*b + 9. Let w(c) be the first derivative of -12 + 0*c**b - 20*c + 5/3*c**3. Factor w(p).
5*(p - 2)*(p + 2)
What is l in 26/5*l**2 - 2/5*l + 72/5*l**4 + 0 - 96/5*l**3 = 0?
0, 1/6, 1
Let k(o) be the second derivative of o**4/28 + 43*o**3/7 + 8*o. Factor k(g).
3*g*(g + 86)/7
Let f(b) be the first derivative of 0*b**4 + 0*b - 10 + 0*b**3 + 0*b**2 + 0*b**5 - 1/27*b**6. Factor f(u).
-2*u**5/9
Let m(c) be the second derivative of -c**7/294 + 3*c**5/140 + c**4/42 + 18*c. Determine v so that m(v) = 0.
-1, 0, 2
Let s(x) = -x + 1. Let b be s(-1). Let h(t) = 3*t**3 + 15*t**2 - 9*t - 42. Let z be h(-5). Determine u so that 3/4*u**z - 3/2*u**b + 0 + 3/4*u = 0.
0, 1
Let 46/5 + 47/5*h + 1/5*h**2 = 0. Calculate h.
-46, -1
Let u(x) = -22*x**4 + 50*x**2 - 12*x - 40. Let z(c) = 13*c**4 - 30*c**2 + 7*c + 24. Let m(w) = 7*u(w) + 12*z(w). Solve m(g) = 0 for g.
-2, -1, 1, 2
Suppose -5*h + 2236 = 3*m + 662, -4*m + 12 = 0. Let f = 4071/13 - h. Factor -2/13*y**5 + 2/13*y**4 - 4/13*y**2 - 2/13*y + f + 4/13*y**3.
-2*(y - 1)**3*(y + 1)**2/13
What is h in -2/7*h**2 + 40/7*h + 6 = 0?
-1, 21
Let r(g) = -90*g**2 + 50*g + 70. Let q be 1/(1 + -1 - (-5)/(-10)). Let a(j) = -13*j**2 + 7*j + 10. Let v(u) = q*r(u) + 15*a(u). Factor v(t).
-5*(t - 1)*(3*t + 2)
Let y(g) be the second derivative of -g**4/18 - 4*g**3 + 247*g. Let y(o) = 0. Calculate o.
-36, 0
Let s be -1 - 4/(12/(-9)). Factor -3*z**s + 0*z**2 + z**2 - z**2.
-3*z**2
Let o be 12*(3 - 82/28). Suppose -20*n + 77 = -3. Factor 0*z**3 + o*z**2 - 3/7*z**5 + 3/7*z + 0 - 6/7*z**n.
-3*z*(z - 1)*(z + 1)**3/7
Let h(f) be the third derivative of f**7/1680 - f**6/144 + f**5/30 - f**4/12 + 3*f**3/2 - f**2. Let k(t) be the first derivative of h(t). Factor k(w).
(w - 2)**2*(w - 1)/2
Let v(l) be the third derivative of l**7/70 + l**6/20 - 9*l**5/20 - l**4/4 + 4*l**3 + l**2 - 3*l. Let v(i) = 0. What is i?
-4, -1, 1, 2
Solve 3/4*d**3 + 3/4*d - 9/2 + 3*d**2 = 0 for d.
-3, -2, 1
Let s(q) = 5*q**4 - 63*q**3 + 54*q**2 - 4*q - 4. Let m(p) = 4*p**4 - 63*p**3 + 56*p**2 - 3*p - 3. Let r(u) = -4*m(u) + 3*s(u). Factor r(d).
-d**2*(d - 62)*(d - 1)
Let u(c) be the second derivative of -61*c**4/66 + 2*c**3/33 + 167*c. Factor u(b).
-2*b*(61*b - 2)/11
Let b = 16/5 + -7/10. Factor -b*h**2 - 21/8*h**3 + 1/4 + 3/8*h.
-(h + 1)*(3*h - 1)*(7*h + 2)/8
Suppose -21 - 21 = 2*k. Let c = 24 + k. Factor 6*h - c*h + 2*h**2 - 2 - 13*h**3 + h**5 + 9*h**3.
(h - 1)**3*(h + 1)*(h + 2)
Let m(u) be the third derivative of u**7/525 - u**5/75 + u**3/15 - 4*u**2 - 28*u. Factor m(x).
2*(x - 1)**2*(x + 1)**2/5
Determine a so that 10/19*a**2 - 864/19*a + 344/19 = 0.
2/5, 86
Suppose -12/5*u + 3/5*u**3 + 0 - 9/5*u**2 = 0. What is u?
-1, 0, 4
Suppose -5*k + 0*g - 3 = -g, g - 3 = -k. Let h be 1 + 0 + k + 1. Let 