 - 100*x**2 + 470 - 465*x = 0.
-94, 1
Let w be 2/(((-85)/(-102))/(10/8)). Suppose -1/2*c**4 + 0*c**2 + 0 - 3/4*c**w + 1/4*c = 0. What is c?
-1, 0, 1/2
Let w = -24 - -27. Let z = w - -2. Let i(h) = 4*h**3 - 4*h**2. Let k(o) = -4*o**3 + 4*o**2. Let r(n) = z*k(n) + 6*i(n). Suppose r(j) = 0. What is j?
0, 1
Let v(a) be the third derivative of -a**5/100 + 11*a**4/20 + 23*a**3/10 + 705*a**2. Factor v(w).
-3*(w - 23)*(w + 1)/5
Suppose z - 4*z = -3*m - 27, -3*z = -2*m - 22. Let a(d) be the second derivative of 0 + 6*d + 0*d**2 + 1/35*d**5 + 0*d**3 - 1/105*d**6 + 0*d**z. Factor a(p).
-2*p**3*(p - 2)/7
Let w(h) = 8*h**2 + 269*h - 102. Let t be w(-34). Factor -9/8*d**3 + 3/8*d**4 - 3/4*d - 15/8*d**2 + 3/8*d**5 + t.
3*d*(d - 2)*(d + 1)**3/8
Suppose -15*h - 16 = -11*h. Let v(g) = g**3 + 3*g**2 - 4*g + 3. Let q be v(h). Factor f + 1 + f**2 - q*f**2 + 1 - f**3.
-(f - 1)*(f + 1)*(f + 2)
Let p(t) be the third derivative of -t**7/3780 + t**6/1620 + t**5/270 - 7*t**3/3 + 19*t**2. Let c(v) be the first derivative of p(v). What is b in c(b) = 0?
-1, 0, 2
Let x(t) = -2*t**2 - 63*t + 512. Let g(p) = -p**2 + 3*p + 1. Let k(r) = 5*g(r) - x(r). Solve k(s) = 0 for s.
13
Let r(z) = -z**3 - 14*z**2 - 39*z + 14. Let f be r(-10). Let i(s) be the second derivative of -1/2*s**2 + 1/24*s**f - 1/12*s**3 + 0 + 7*s. Solve i(u) = 0.
-1, 2
Factor -7*o**2 - 48 + 4*o**3 + 24*o + 31*o - 20*o - 29*o**2 + 45*o.
4*(o - 6)*(o - 2)*(o - 1)
Let k(t) = 31*t**5 - 32*t**4 - 4*t**3 + 14*t**2 + t + 2. Let o(c) = -2*c**5 - 2*c**4 - c**3 - c**2 + c - 1. Let b(x) = k(x) + 2*o(x). Factor b(w).
3*w*(w - 1)**2*(3*w + 1)**2
Let p(d) be the third derivative of 1/252*d**8 + 45*d**2 + 1/45*d**7 + 0 - 1/18*d**4 - 1/9*d**3 + 0*d + 1/45*d**5 + 2/45*d**6. Find w such that p(w) = 0.
-1, 1/2
Let g(v) = 12*v**3 - 8*v**2 - 4*v + 2. Suppose 0 = 14*k - 6 - 8. Let q(r) = r**3 - r**2 - 1. Let y(w) = k*g(w) + 2*q(w). Solve y(n) = 0 for n.
-2/7, 0, 1
Factor 4455*m**4 + 5*m**2 - 4449*m**4 - 2*m**2 + 9*m**3.
3*m**2*(m + 1)*(2*m + 1)
Let r(w) be the third derivative of -w**8/840 - w**7/525 + w**6/300 + w**5/150 - 258*w**2. Let r(y) = 0. Calculate y.
-1, 0, 1
Let h(u) be the second derivative of -u**7/315 + u**6/225 + 2*u**5/75 - 2*u**4/45 - 2*u + 4. Suppose h(o) = 0. What is o?
-2, 0, 1, 2
Let b be (-29155)/(-5306) - 6 - (1 + -1). Let u = -2/379 - b. Suppose u*o**4 - 1/4*o + 0 - 1/2*o**2 + 1/4*o**3 = 0. Calculate o.
-1, -1/2, 0, 1
Let h(w) = w**3 + w**2 + 2*w - 1. Let x(v) = 5*v**3 - 3*v**2 + 22*v - 6. Let o(c) = 6*h(c) - x(c). Solve o(y) = 0 for y.
-10, 0, 1
Let r(v) be the third derivative of v**5/240 + 5*v**4/48 + 3*v**3/8 - 7*v**2 + 1. Determine d so that r(d) = 0.
-9, -1
Let o(n) be the first derivative of 0*n + 0*n**3 + 4 + 1/3*n**2 - 1/6*n**4. Let o(j) = 0. What is j?
-1, 0, 1
Let f(o) be the first derivative of -4/15*o**3 + 1/10*o**4 + 1/5*o**2 + 13 + 0*o. Factor f(a).
2*a*(a - 1)**2/5
Factor 18/5*t - 4 + 2/5*t**2.
2*(t - 1)*(t + 10)/5
Let q(b) be the third derivative of -15*b**2 + 4/15*b**6 + 0*b**3 + 0 + 0*b**4 - 2/21*b**7 - 4/15*b**5 + 0*b + 1/84*b**8. Suppose q(z) = 0. Calculate z.
0, 1, 2
Suppose -9 = 3*d + 27. Let u = 23 + d. Find l, given that -4 - 10*l**2 - 6*l - 3*l**2 + u*l**2 = 0.
-2, -1
Factor 176*k + 8 - 390*k**2 + 370*k**2 + 28.
-4*(k - 9)*(5*k + 1)
Let j(d) be the second derivative of -d**7/120 + d**6/40 - d**5/60 + 4*d**3/3 - 14*d. Let h(p) be the second derivative of j(p). Let h(r) = 0. Calculate r.
0, 2/7, 1
Let h be -2 + 6 - (-1 + 2697/540). Let j(z) be the third derivative of h*z**5 + 1/18*z**3 + 1/36*z**4 + 0*z + 0 + 4*z**2. Determine f so that j(f) = 0.
-1
Factor -3*a**3 - 12*a**2 - 4*a - 9*a**3 - 26*a**4 + 53*a**4 - 31*a**4.
-4*a*(a + 1)**3
Let s = -1/1128 + 2/47. Let t(o) be the third derivative of 4*o**2 - 7/60*o**5 + 0 - s*o**4 + 8/105*o**7 - 1/15*o**6 + 0*o + 0*o**3. Factor t(z).
z*(z - 1)*(4*z + 1)**2
Let p = -13570 - -13572. Factor -169/4 - 1/4*g**p + 13/2*g.
-(g - 13)**2/4
Let g(y) = -y**2 + y. Let l(a) = 7*a**2 - 5*a - 6. Let m(c) = 6*g(c) + l(c). Find j, given that m(j) = 0.
-3, 2
Let q(z) = -2*z - 7. Let f be q(-6). Suppose f = u, -5*u = -5*i - 3*u + 5. Factor -4*c**3 - c + 10*c**3 - 5*c**i.
c*(c - 1)*(c + 1)
Let x be (13/26)/(-5*(-1)/8). Let g(s) be the first derivative of 1/5*s**2 + 2/15*s**3 - x*s + 6. Factor g(q).
2*(q - 1)*(q + 2)/5
Let h be (-8)/12*(84/8)/7. Let y be 2 + (-5)/(-15) + h*2. Factor 0 + y*d**2 + 0*d + 1/3*d**3.
d**2*(d + 1)/3
Let i be 2 + (4 - (-1)/(-1)). Suppose 0 = i*u + 6 - 41. Factor -2*p + 4*p - p**3 - 8*p**2 + u*p**2.
-p*(p - 1)*(p + 2)
Suppose 8 = -2*i, -2*i - 800 = -6*q + 2*q. Let t be 117/q + 2/(-22). Find j such that 25/2 + 5*j + t*j**2 = 0.
-5
Let r be (2 + -2)/(3/(12/(-8))). Let s(x) be the first derivative of 2/45*x**5 - 2/27*x**3 + 4 + 2/9*x**2 + r*x - 1/9*x**4. Factor s(u).
2*u*(u - 2)*(u - 1)*(u + 1)/9
Let o(d) = 2*d**2 - 3*d. Let x(n) = 2*n**3 - 16*n**2 + 30*n. Let w(m) = 10*o(m) + x(m). Let w(k) = 0. Calculate k.
-2, 0
Let b(a) be the third derivative of -a**7/105 - a**6/30 + 4*a**5/5 + 805*a**2. What is m in b(m) = 0?
-6, 0, 4
Let x(l) = 10*l**2 - 1052*l - 47542. Let o(q) = -3*q**2 + 351*q + 15847. Let j(k) = -16*o(k) - 5*x(k). Factor j(p).
-2*(p + 89)**2
Let d = -76 - -79. Let b(x) = x**3 - 7*x**2 - 8*x. Let m(f) = f**3 - 3*f**2 - 4*f. Let y(w) = d*b(w) - 7*m(w). Factor y(i).
-4*i*(i - 1)*(i + 1)
Suppose -19*u + 12 = -15*u. Factor -3*g**3 + 0*g**2 - g**2 - u*g**2 - 2*g**2.
-3*g**2*(g + 2)
Let g = -1 - 2. Let i be (g + -5)/4*-13. Let -f**2 + 18*f**5 - 54*f**5 - 4*f**3 + f**2 + i*f**4 = 0. Calculate f.
0, 2/9, 1/2
Let m = -3 - -5. Suppose 5*w = 3*h + w - m, -4*h - 4*w = -12. Let 3*a**h + a**3 - 3*a**4 - a**2 + 3*a**3 + 5*a**4 = 0. Calculate a.
-1, 0
Determine h so that 4*h**2 - 1/5*h**5 + 27/5*h + 2 - 6/5*h**4 - 2/5*h**3 = 0.
-5, -1, 2
Factor 12*g**3 - 3644 + 3638 - 8*g**3 + 8*g**2 - 2*g**4 - 4*g.
-2*(g - 3)*(g - 1)*(g + 1)**2
Let b = -155/4 - -1093/28. Factor -6/7 + 8/7*o - b*o**2.
-2*(o - 3)*(o - 1)/7
Let n(v) be the second derivative of -5*v**7/42 + 11*v**6/6 - 5*v**5/2 + 74*v. Factor n(c).
-5*c**3*(c - 10)*(c - 1)
Factor 40/7*r + 24/7*r**3 - 150/7 + 12*r**2 + 2/7*r**4.
2*(r - 1)*(r + 3)*(r + 5)**2/7
Factor -2/3*l**2 + 32/3*l - 10.
-2*(l - 15)*(l - 1)/3
Let t(p) = p**3 - 8*p**2 - p + 8. Let m be ((-6)/(-9) + -1)/(3/(-72)). Let f be t(m). Factor -3/7*v + 0*v**2 + f + 3/7*v**3.
3*v*(v - 1)*(v + 1)/7
Determine w, given that 0 + 0*w - 5/4*w**4 + 20*w**3 - 80*w**2 = 0.
0, 8
Let a(x) be the second derivative of -5*x**4/6 - 13*x**3/3 + 6*x**2 - 84*x. Let a(u) = 0. What is u?
-3, 2/5
Solve 2/3*g**5 - 14*g**4 - 54 + 92*g**3 + 174*g - 596/3*g**2 = 0.
1, 9
Let i(s) = 11*s**2 - 24*s + 9. Let c(b) = -23*b**2 + 48*b - 15. Let x(p) = 2*c(p) + 5*i(p). Let x(v) = 0. Calculate v.
1, 5/3
Let g(c) be the second derivative of c**6/10 + 21*c**5/20 + 3*c**4 + 241*c. Find n such that g(n) = 0.
-4, -3, 0
Factor -3/7*b**2 + 24/7*b - 3.
-3*(b - 7)*(b - 1)/7
Let y(b) be the first derivative of 0*b + 1/2*b**3 + 23 + 3/4*b**2. Find t such that y(t) = 0.
-1, 0
Let m(i) be the second derivative of 9/5*i**5 - 18/5*i**4 + 2*i - 7/25*i**6 + 44 + 8/5*i**3 + 0*i**2. Find n such that m(n) = 0.
0, 2/7, 2
Factor -116/9*n - 10/9*n**2 + 16/3.
-2*(n + 12)*(5*n - 2)/9
Let v(d) be the third derivative of d**6/160 + 41*d**5/80 - 85*d**4/32 + 43*d**3/8 + 5*d**2 - 14*d. Solve v(s) = 0.
-43, 1
Suppose -4/3*a**2 + 0 - 2*a**3 + 5/3*a + 1/3*a**5 + 4/3*a**4 = 0. What is a?
-5, -1, 0, 1
Let i(b) = 2*b**2 - 8*b + 12. Let f(m) = 1 - m + 7*m + 4*m - 11*m. Suppose s = 3*r + 3*s + 36, 0 = -2*s. Let u(o) = r*f(o) + i(o). Factor u(y).
2*y*(y + 2)
Let r(h) be the second derivative of h**7/210 + h**6/25 + 7*h**5/50 + 4*h**4/15 + 3*h**3/10 + h**2/5 + 2*h + 38. Factor r(v).
(v + 1)**4*(v + 2)/5
Let j(q) be the third derivative of -q**8/1344 - q**7/168 + 53*q**6/480 - 131*q**5/240 + 4*q**4/3 - 11*q**3/6 - 8*q**2 - 1. Find p such that j(p) = 0.
-11, 1, 2
Let w(i) = -i**2 - i. Let t(p) = 287*p - 291*p + 0 - 3 - p**2 + 0. Let h(m) = 2*t(m) - 6*w(m). Factor h(u).
2*(u + 1)*(2*u - 3)
Let v(z) be the third derivative of -5*z**8/1344 + z**7/40 - 17*z**6/240 + 13*z**5/120 - 3*z**4/32 + z**3/24 - 2*z**2 + 10*z. Solve v(w) = 0 for w.
1/5, 1
Let n be 0/(-1*(4 + -5 + 3)). Let y(t) be the first derivative of 1/16*t