1. Let a(r) = 17*y(r) - 6*z(r). Factor a(x).
-5*(x - 3)*(x - 1)*(x + 1)
Suppose 10 = q + 4*l - 18, -68 = -4*q - 5*l. Suppose 0*k + 3*k - q = 0. What is w in 5*w**2 - 2*w**3 + 3*w**2 - w**k - 4 + w**2 - 6*w**2 + 4*w = 0?
-2, 1
Let d(b) be the second derivative of b**6/45 - b**5/10 - 5*b**4/18 + b**3/3 + 4*b**2/3 - 31*b + 1. Let d(q) = 0. Calculate q.
-1, 1, 4
Let m(t) be the third derivative of 2*t**7/105 + t**6/15 - 13*t**5/5 + 12*t**4 - 271*t**2. Solve m(x) = 0.
-8, 0, 3
Suppose -104 = -8*r - 8. Suppose 4*y - r = 0, 0 = 3*b + 4*y + 13 - 40. Find f, given that 0 + 4/3*f**4 + 0*f**3 + 2/3*f**b - 4/3*f**2 - 2/3*f = 0.
-1, 0, 1
Let v(j) be the third derivative of 0 + 2/15*j**4 - 1/75*j**6 + 0*j + 6*j**2 - 1/75*j**5 + 2/5*j**3. Factor v(k).
-4*(k + 1)**2*(2*k - 3)/5
Let v be (-210)/(-24)*-2 + (-2)/(-4). Let p be (v - -18)*(-1 - (-5 + 1)). Determine i, given that 0*i + 4/3*i**2 + 0 + 2/3*i**p = 0.
-2, 0
Suppose 5*n - d + 2 + 10 = 0, -5*d - 6 = -3*n. Let i be n/((-45)/40) - 1/(-3). What is z in 0 + 2*z**i - 1/3*z**2 + 4/3*z**5 + 0*z - 3*z**4 = 0?
0, 1/4, 1
Let g(j) = j**2 - 30*j - 50. Let y(d) = 7. Let o(r) = g(r) - 2*y(r). Suppose o(v) = 0. Calculate v.
-2, 32
Let r(m) = -m**2 - 2*m - 1. Let d(v) = -3*v**3 - 10*v**2 + 16*v + 23. Let q(s) = -d(s) + r(s). Factor q(z).
3*(z - 2)*(z + 1)*(z + 4)
Suppose 5*g - 10 = 5*j, 10 = 5*g - 4*g + 3*j. Factor 5*h**4 - h**g + 105*h**3 - 107*h**3 - 3*h**4 + h**2.
h**2*(h - 1)**2
Suppose -85*j + 95*j = 30. Let o(m) be the first derivative of -2 + 0*m - 1/6*m**4 - 4/9*m**j + 0*m**2. Determine d so that o(d) = 0.
-2, 0
Let o(b) be the first derivative of 11 + 0*b + 0*b**4 - 1/45*b**6 + 0*b**2 + 2/75*b**5 + 0*b**3. Let o(g) = 0. What is g?
0, 1
Let s(n) be the second derivative of -27*n - 64/9*n**3 + 8/9*n**4 + 0 + 0*n**2 - 1/30*n**5. Factor s(p).
-2*p*(p - 8)**2/3
Let x(a) be the third derivative of -5*a**8/336 + a**7/14 - a**6/12 - a**5/6 + 5*a**4/8 - 5*a**3/6 - a**2 - 71. Factor x(i).
-5*(i - 1)**4*(i + 1)
Factor -2023 - 1/7*v**2 + 34*v.
-(v - 119)**2/7
Let p(j) be the third derivative of -j**7/140 - j**6/10 - 21*j**5/40 - 11*j**4/8 - 2*j**3 + 2*j**2 - 5. Let p(r) = 0. Calculate r.
-4, -2, -1
Factor 8 - 3*b - 1/2*b**2.
-(b - 2)*(b + 8)/2
Let b(r) = -2*r**4 + 32*r**3 - 24*r**2 + 2*r. Let x(c) = -c**4 - 2*c**3 - c. Let y(k) = -b(k) - 2*x(k). Suppose y(g) = 0. What is g?
0, 1, 6
Solve 11*o**3 - 320*o**4 - 208 - 132*o**2 + 296*o + 322*o**4 + 3*o**3 = 0 for o.
-13, 2
Let g(w) be the second derivative of w**4/4 + 37*w**3/8 + 27*w**2/8 - 391*w. Factor g(u).
3*(u + 9)*(4*u + 1)/4
Let s(c) be the third derivative of -5*c**2 + 1/80*c**5 + 1/32*c**4 + 0 + 1/480*c**6 + 1/24*c**3 + 0*c. Suppose s(n) = 0. What is n?
-1
Suppose 3 = -4*a - 5*y - 4, -2*a - 3*y = 5. Let 9*j + 6*j + 3*j**2 + 2*j**a + 10 = 0. Calculate j.
-2, -1
Suppose -2*s + 10 = 2. Suppose -s*h = -6*h + 3*n + 19, 0 = -3*h - 3*n - 9. Solve 0*p + 0 - 2/3*p**h = 0 for p.
0
Let u(h) be the first derivative of -5*h**7/672 + h**6/288 - 3*h**3 - 10. Let y(z) be the third derivative of u(z). Factor y(k).
-5*k**2*(5*k - 1)/4
Let o(i) be the third derivative of i**5/570 - 37*i**4/114 + 1369*i**3/57 - 243*i**2. Factor o(v).
2*(v - 37)**2/19
Determine c so that 2*c**3 - 4*c**2 + 0 + 1/4*c**5 + 0*c + 7/4*c**4 = 0.
-4, 0, 1
Let t(v) be the third derivative of -v**5/90 - 4*v**4/9 + 3*v**2 - 41. Solve t(s) = 0 for s.
-16, 0
Let t be ((-6)/12)/((-6)/4 - -1). Let l(s) = 1024*s**3 + 1148*s**2 + 428*s + 50. Let p(f) = -f**2 - f - 1. Let n(c) = t*l(c) - 4*p(c). Factor n(k).
2*(8*k + 3)**3
Let r = 1336/435 + -252/145. Determine m, given that 8*m + r*m**2 - 28/3 = 0.
-7, 1
Let x = -848 + 855. Let h(z) be the third derivative of 0 + 1/30*z**5 - 1/18*z**4 + 7*z**2 + 1/630*z**x - 1/90*z**6 + 1/18*z**3 + 0*z. Factor h(f).
(f - 1)**4/3
Let y(x) be the third derivative of -1/48*x**4 + 0*x**3 - 13*x**2 + 0 - 1/240*x**5 + 0*x. Determine r, given that y(r) = 0.
-2, 0
Let s(u) = -3*u**3 - 866*u**2 + 127906*u - 6224262. Let m(k) = -k**3 + 2*k**2 + 2*k + 2. Let z(w) = -5*m(w) + s(w). Factor z(r).
2*(r - 146)**3
Let p(s) = 2*s**2 + 82*s + 168. Let z(n) = n**2 + 82*n + 169. Let q(c) = 6*p(c) - 8*z(c). What is l in q(l) = 0?
-2, 43
Suppose -g - 3*i = -1, 6*g - 2*g - 3*i - 49 = 0. Let y = 13 - g. Factor b**2 - 3*b**y - 3*b**2 + 3*b - 2 + 4*b**2.
-(b - 1)*(b + 1)*(3*b - 2)
Let k(b) be the third derivative of -4/735*b**7 + 1/70*b**6 - 2/105*b**5 + 0*b + 0*b**3 + 2*b**2 + 0 + 1/84*b**4 + 1/1176*b**8. Factor k(o).
2*o*(o - 1)**4/7
Let z = 182/3 - 883/15. Find v such that -3/5*v**2 - 6/5 - z*v = 0.
-2, -1
Suppose -i = -15 + 5. Let l be 16/(-20)*i/(-4). Find y such that 3*y**2 + 2*y - y + 4*y - l*y = 0.
-1, 0
Let x(s) be the second derivative of -s**5/30 + s**4/3 - 5*s**3/9 + s + 25. Factor x(l).
-2*l*(l - 5)*(l - 1)/3
Let u(n) = -40*n - 1920. Let c be u(-48). Factor c + 1/2*t**2 + 0*t - 1/2*t**4 + 1/2*t**3 - 1/2*t**5.
-t**2*(t - 1)*(t + 1)**2/2
Let y(p) be the second derivative of 10/3*p**3 + 27*p + 0 + 27/2*p**6 + 0*p**2 + 117/4*p**5 + 50/3*p**4. Factor y(v).
5*v*(v + 1)*(9*v + 2)**2
Let f(a) be the third derivative of -a**7/1050 - a**6/50 - 11*a**5/300 + 522*a**2. Factor f(d).
-d**2*(d + 1)*(d + 11)/5
Let f(o) be the third derivative of o**8/560 + o**7/75 + 13*o**6/600 - 3*o**5/50 - o**4/6 + 4*o**3/15 + 313*o**2. Find q such that f(q) = 0.
-2, 1/3, 1
Let m = 16/23 - -44/69. Let r(h) be the first derivative of -4*h**2 - 4*h - 5 - m*h**3. Factor r(q).
-4*(q + 1)**2
Let o(l) be the third derivative of l**6/210 - l**5/35 - 3*l**4/14 + 18*l**3/7 + l**2 + 60. Factor o(f).
4*(f - 3)**2*(f + 3)/7
Let h be (10/20)/((-1)/(-9)). Factor -3/2*v**3 + 0 + h*v**2 + 15*v.
-3*v*(v - 5)*(v + 2)/2
Let s(x) = -6*x**3 - 5*x**2 + 3*x + 2. Let j(f) = -4*f**3 + 2 + 3*f + 4*f**2 - 5*f**3 - 10*f**2 + 2*f**3. Let w(h) = -5*j(h) + 6*s(h). Factor w(z).
-(z - 2)*(z + 1)**2
Let k be -4 - 16/(-2) - 2. Let -2/15*f**k - 4/5*f - 6/5 = 0. What is f?
-3
What is x in -132/7*x - 80/7*x**2 + 216/7 - 4/7*x**3 = 0?
-18, -3, 1
Let j be 2/10*(-18)/(-216). Let p(l) be the second derivative of 0 - 9/4*l**2 - 11/12*l**4 - j*l**6 - 2*l + 1/5*l**5 + 2*l**3. Find q, given that p(q) = 0.
1, 3
Let r be 30/225 + (-11)/90. Let j(u) be the third derivative of 1/36*u**4 + u**2 + 0*u**3 - r*u**5 + 0*u + 0. Suppose j(n) = 0. Calculate n.
0, 1
Let y(r) = -7*r**3 + 26*r**2 - 13*r - 24. Let j(n) = 13*n**3 - 51*n**2 + 27*n + 44. Let h(x) = -6*j(x) - 11*y(x). Determine c so that h(c) = 0.
0, 1, 19
Let y be ((-1)/(-14))/(8/64). Let p(z) = -8*z**3 + 43*z**2 - 16*z + 7. Let c be p(5). Factor 0 + y*a - c*a**2.
-2*a*(7*a - 2)/7
Factor 4*r**2 + 3 - 271*r + r**3 - 3*r**2 + 266*r.
(r - 1)**2*(r + 3)
Let k be 4 - (1/3 - 740/60). Factor -k*y**2 - 15*y**2 + 2*y + 33*y**2.
2*y*(y + 1)
Let t(q) be the second derivative of q**9/1512 - q**8/420 - q**7/140 + 13*q**3/2 + 16*q. Let v(w) be the second derivative of t(w). Factor v(o).
2*o**3*(o - 3)*(o + 1)
Let z(q) be the first derivative of 8/3*q - 8*q**2 + 12*q**3 - 9*q**4 - 8 + 27/10*q**5. Factor z(k).
(3*k - 2)**4/6
Let q be -11*(36/(-54))/(2/(-15)). Let i be (0 + (4 - -1))*(-2)/q. Factor 0 + 2/11*a**5 - 2/11*a**3 + i*a**4 - 2/11*a**2 + 0*a.
2*a**2*(a - 1)*(a + 1)**2/11
Factor 9*w**3 + 6*w**3 + 80*w**2 - 92*w - 2 + 21*w**3 - 22.
4*(w - 1)*(w + 3)*(9*w + 2)
Let c(m) be the second derivative of -m**6/420 + m**4/84 + 11*m**2/2 + 9*m. Let f(j) be the first derivative of c(j). Factor f(i).
-2*i*(i - 1)*(i + 1)/7
Let i = -5 - -7. Factor -4*h + 12 - 3*h**i - 12 - 2*h.
-3*h*(h + 2)
Suppose -51 = -12*u + 9. Determine r, given that 4951 - 4951 + r**4 + r**u = 0.
-1, 0
Factor -5/3 + 5/3*u**2 + 5/2*u.
5*(u + 2)*(2*u - 1)/6
Solve 149*x - 133*x + 44*x**4 - 16 - 23*x**3 - 57*x**3 + 44*x**2 - 8*x**5 = 0.
-1/2, 1, 2
Let g(o) be the first derivative of -5*o**4/4 + 155*o**3/3 - 1275*o**2/2 + 1125*o - 106. Find t such that g(t) = 0.
1, 15
Let o = -65 + 41. Let n = -21 - o. Suppose -36 + 7*l + 57*l**n + 23*l + 9*l**3 + 10*l**4 + 122*l**2 = 0. Calculate l.
-3, -1, 2/5
Let -63*v**3 - 186*v**4 - 5*v**3 + 122*v**4 + 4*v**5 = 0. What is v?
-1, 0, 17
Let r = -70 - -220/3. Factor 4/9 + r*d + 56/9*d**2.
2*(4*d + 1)*(7*d + 2)/9
Solve 830/19*j**3 + 30/19*j**5 - 296/19*j**4 + 0 - 484/19*j**2 - 80/19*j = 0.
-2/15, 0, 1, 4, 5
Let y(r) = -r**2 - r + 1. Let o(q) = -