 639*t**2 + 1163*t + 384. Let k(s) = 5*f(s) - 4*z(s). Suppose k(x) = 0. What is x?
-24, -2/7, 2
Let q(p) = -p**3 + 4*p**2 + p. Let f be q(3). Let d be (3 - (-2 - -3 - 1)) + 1. Factor -26*z - 4*z**3 + 26*z + f*z**d.
4*z**3*(3*z - 1)
Let h(l) be the third derivative of l**5/360 + 19*l**4/72 - 20*l**3/9 - 553*l**2. Suppose h(k) = 0. Calculate k.
-40, 2
Let b(u) be the first derivative of -u**7/252 - u**6/60 + u**4/18 + 14*u + 12. Let s(d) be the first derivative of b(d). Factor s(f).
-f**2*(f - 1)*(f + 2)**2/6
Let t be ((-18)/4)/3 - 9/(-6). Factor 0*r - 1/3*r**3 - 1/3*r**2 + t.
-r**2*(r + 1)/3
Suppose 0*h - 6 = -5*h + 3*r, 3*h = 3*r + 6. Find l such that 0 + h*l + 2/11*l**3 + 4/11*l**2 - 2/11*l**4 = 0.
-1, 0, 2
Suppose -13 = 9*p - 4. Let h(z) = 2*z**2 + 38*z + 98. Let l(q) = q**2 + q + 1. Let f(v) = p*h(v) - 2*l(v). Factor f(r).
-4*(r + 5)**2
Let c = -44851/3 + 14953. Factor 2*m**2 + 8/3*m - c + 2/3*m**4 - 8/3*m**3.
2*(m - 2)**2*(m - 1)*(m + 1)/3
Determine m so that -16 + 14*m**2 + m**3 + 4*m - 5/2*m**4 - 1/2*m**5 = 0.
-4, -2, 1, 2
Let f(r) be the third derivative of r**5/60 + 13*r**4/24 - 7*r**3/3 - 257*r**2. Find m such that f(m) = 0.
-14, 1
Let s(z) be the second derivative of 0 - 18*z + 1/70*z**5 + 2/21*z**4 + 5/21*z**3 + 2/7*z**2. Factor s(k).
2*(k + 1)**2*(k + 2)/7
Let q be ((-16)/28)/(4*(-6)/84). Factor 9/8 - 3/2*d + 3/8*d**q.
3*(d - 3)*(d - 1)/8
Suppose -2*n + 76 = -0*g + 4*g, -66 = -3*g + 3*n. Let s be ((-4)/g)/((-2)/5). Factor 1/2 - 3/2*a + 3/2*a**2 - s*a**3.
-(a - 1)**3/2
Determine m, given that -5 - 2*m**2 - 34*m - 3 + 12*m + 14*m = 0.
-2
Let n(c) = -73*c + 2484. Let j be n(34). Determine w, given that 0 + 1/5*w**j + 0*w + 1/5*w**3 = 0.
-1, 0
Let t(j) be the first derivative of -5*j**4/6 + 76*j**3/9 - 19*j**2/3 - 28*j/3 - 617. Factor t(f).
-2*(f - 7)*(f - 1)*(5*f + 2)/3
Let h be ((5 - (-7)/21) + -5)*5. Solve 5/3*s**3 + 0*s**4 + 0*s + 0 - h*s**5 + 0*s**2 = 0 for s.
-1, 0, 1
Let c be 40 + -33 + -5 + ((-2)/(-2))/1. Let 2/13*s**c + 0 + 4/13*s**2 + 2/13*s = 0. What is s?
-1, 0
Let a(t) = 3*t - 2. Let u be a(0). Let c = 5 + u. Factor 17 - c + 7*z**2 + 10*z - 2 - 5*z**2.
2*(z + 2)*(z + 3)
Let i(b) = -3*b**2 - 3*b. Let w = 22 + -13. Let m(a) = w*a + 0*a - 238*a**2 + 247*a**2. Let n(o) = 8*i(o) + 3*m(o). Factor n(h).
3*h*(h + 1)
Let g be 6/8*2/6. Suppose -515 + 524 = 3*z. Factor o**2 + g*o**z + o + 0.
o*(o + 2)**2/4
What is a in 3*a**2 + 15*a - 3430*a**3 - 1 + 10 + 3427*a**3 = 0?
-1, 3
Let z be (-3)/((-12)/4)*2. Factor -10*h - 20*h**3 + 6 - 10*h + 30*h**z + 5*h**4 - 1.
5*(h - 1)**4
Find g, given that 0*g**2 + 0*g - 2/7*g**5 + 90/7*g**4 + 0*g**3 + 0 = 0.
0, 45
Let a be (-14)/140*(7 - 11). Let -a - 2/5*o**4 - 8/5*o - 8/5*o**3 - 12/5*o**2 = 0. Calculate o.
-1
Let s(y) be the first derivative of 2*y**6/3 - 12*y**5/5 - 9*y**4 - 20*y**3/3 + 236. Factor s(u).
4*u**2*(u - 5)*(u + 1)**2
Factor -20*n - 32*n + 576 - 3*n**3 + 346*n - 285*n**2.
-3*(n - 2)*(n + 1)*(n + 96)
Let r = -3416 - -3418. Factor -2/13*y**4 - 2/13*y**3 + 2/13*y**r + 0 + 2/13*y.
-2*y*(y - 1)*(y + 1)**2/13
Let c = -6 + -1. Let i = 10 + c. Factor -3*u - u**3 + 0*u**3 + 2*u**3 - 2*u**3 - 1 - i*u**2.
-(u + 1)**3
Suppose 2*h - 12 = -2*h. Let u = -12 + 31. Suppose -3*y**h + u*y**2 + 9*y**2 - 7*y**2 - 24*y - 48 = 0. Calculate y.
-1, 4
Let p(c) = 3*c**3 - 7*c**2 - 15*c - 5. Let v(g) = g**3 - 4*g**2 - 7*g - 2. Let a(q) = -2*p(q) + 5*v(q). Suppose a(f) = 0. Calculate f.
-5, -1, 0
Let t(j) be the third derivative of 0*j - 1/210*j**7 + 1/10*j**5 + 0*j**6 + 0 + 1/2*j**3 + 1/3*j**4 + 20*j**2. Factor t(z).
-(z - 3)*(z + 1)**3
Let n = 2 + -14. Let p be n/(-12) + -1 + 0. Find m such that p + 1/6*m**2 + 1/3*m = 0.
-2, 0
Let f(h) be the third derivative of 0*h**3 - 1/240*h**5 + 1/24*h**4 - 5*h**2 + 2 + 0*h - 1/120*h**6 + 1/840*h**7. Factor f(p).
p*(p - 4)*(p - 1)*(p + 1)/4
Let g(t) = -6*t**3 - 49*t**2 + 251*t - 331. Let d(a) = -10*a**2 - 90*a**3 + 50*a + 89*a**3 + a**2 - a**2 - 66. Let h(p) = -11*d(p) + 2*g(p). Factor h(l).
-(l - 4)**3
Determine l, given that -5880 + 5*l**4 + 5880 - 5*l - 5*l**2 + 5*l**3 = 0.
-1, 0, 1
Let l(w) = 5*w**2 + 2*w + 2. Let t be (-15)/(-6)*8/10. Let j(d) = -66*d**2 - 27*d - 27. Let b(s) = t*j(s) + 27*l(s). Determine z so that b(z) = 0.
0
Factor 6 + 0*y**2 + 2*y**2 + 18 - 27*y + y**2.
3*(y - 8)*(y - 1)
Let v = -8 + 40. Let j = 36 - v. Factor y + 0 - 5/4*y**3 + 3/4*y**j - y**2.
y*(y - 2)*(y + 1)*(3*y - 2)/4
Let k(l) be the first derivative of l**4/18 + 28*l**3/27 - 20*l**2/9 - 400*l/3 - 609. Factor k(t).
2*(t - 6)*(t + 10)**2/9
Let d(s) = -10*s**2 + 735*s - 27385. Let h(p) = 11*p**2 - 734*p + 27386. Let i(n) = -6*d(n) - 5*h(n). Factor i(l).
5*(l - 74)**2
Let r = 46 + -28. Suppose -3*y + 4*v = 2*y - 27, 5*v = y - r. Factor 26*k**3 + 47*k**3 - 36*k - 12 + 33*k**2 - 75*k**4 + 47*k**3 - 30*k**y.
-3*(k - 1)**2*(5*k + 2)**2
Let u = -11 + 13. Suppose y - 3 = -u*h, -2*h + 3 - 1 = 2*y. Factor -2*r**3 + 3*r**5 + 0*r**5 - h*r**5 + r.
r*(r - 1)**2*(r + 1)**2
Let r = 7 - 5. Suppose -10 = -r*a + 8. Determine n, given that a*n + 27/2 + 3/2*n**2 = 0.
-3
Factor -5*j**2 + 5/2*j + 15.
-5*(j - 2)*(2*j + 3)/2
Let z(b) be the first derivative of b**6/2 - 231*b**5/5 + 2391*b**4/2 - 4330*b**3 + 12543*b**2/2 - 4107*b + 191. Let z(a) = 0. Calculate a.
1, 37
Factor 204/5*i**3 + 228/5*i**2 + 64/5*i**4 + 12/5 + 20*i.
4*(i + 1)**3*(16*i + 3)/5
Let i(n) be the third derivative of -n**6/2700 + n**3 - 15*n**2. Let k(o) be the first derivative of i(o). Suppose k(c) = 0. What is c?
0
Let n(x) = -x**3 + 18*x**2 + x - 20. Let w be n(18). Let m be (w/6)/(2/(-18)). Factor -d**2 - m*d + 2*d + d**3 - 9 + 10 + 0*d.
(d - 1)**2*(d + 1)
Let w(d) be the first derivative of -d**9/1008 + d**8/560 + 20*d**3/3 - 5. Let r(z) be the third derivative of w(z). Let r(t) = 0. What is t?
0, 1
Let o = 125 - 116. Suppose 51 = 26*z - o*z. Factor -16*m**3 - 16/3 - 88/3*m**2 - 64/3*m - z*m**4.
-(m + 2)**2*(3*m + 2)**2/3
Suppose -44*t + 16*t**3 + 2*t**3 - 10*t**3 - 40*t**2 - 4*t**3 = 0. Calculate t.
-1, 0, 11
Let h(l) = -l**2 - l. Let s(r) = -3*r + 56. Let q be s(19). Let k(t) = t**5 + 8*t**4 + 25*t**3 + 36*t**2 + 26*t + 8. Let c(v) = q*k(v) + 2*h(v). Factor c(i).
-(i + 1)**2*(i + 2)**3
Let t be ((-10)/20)/(1/(4 - 2)). Let p be (2 - -1)*t/((-30)/4). Determine d so that 0*d**2 + 0 + 2/5*d**3 - p*d = 0.
-1, 0, 1
Let k(o) = 3 + 1 + o**2 + 0 - 5. Let u(p) = -10*p**2 + 4*p + 5. Let g(j) = -18*k(j) - 2*u(j). Factor g(a).
2*(a - 2)**2
Determine h, given that 83 + 28*h**2 + 0*h**2 + 116*h - 23 + 20*h**2 = 0.
-5/3, -3/4
Let p = 9 - 7. Suppose 4 = l - 2*l, 6 = -p*r - 4*l. Determine o, given that o**5 + r*o**4 - o**4 + 2*o + 4*o**2 + 7*o - 8*o + 6*o**3 = 0.
-1, 0
Let m = -524/117 + 64/13. Factor 2/9*j**2 - 8/9 + 1/9*j**3 - m*j.
(j - 2)*(j + 2)**2/9
Find n such that 10*n**2 - 3*n - 2*n**2 - 7*n**2 - n**3 - 6*n**2 + n**4 = 0.
-1, 0, 3
Let i(l) = -l**3 - 5*l**2 + 9. Let w be i(-5). Let x = -6 + w. Suppose -3*v**5 + v + 0*v - 4*v + 6*v**x = 0. Calculate v.
-1, 0, 1
Let l = -81071/72 + 1126. Let h(w) be the second derivative of 1/6*w**2 + 4*w - 1/36*w**3 + 0 - l*w**4. Factor h(o).
-(o - 1)*(o + 2)/6
Let d(p) be the second derivative of p**6/180 - 4*p**5/45 + 17*p**4/36 - 10*p**3/9 - 17*p**2 - 37*p. Let b(w) be the first derivative of d(w). Factor b(g).
2*(g - 5)*(g - 2)*(g - 1)/3
Let a(t) be the third derivative of 961*t**8/80640 + 31*t**7/5040 + t**6/720 - 13*t**5/20 - 19*t**2. Let m(j) be the third derivative of a(j). Factor m(r).
(31*r + 2)**2/4
Let o be 2*2/(-9)*-1. Let u be (14/28)/((-4)/32*-9). Find b, given that 0 + 2/9*b**3 - 2/9*b - u*b**2 + o*b**4 = 0.
-1, -1/2, 0, 1
Let l(x) be the third derivative of -x**5/240 + 7*x**4/96 + x**3/3 - 74*x**2. Let l(p) = 0. What is p?
-1, 8
Let p(r) be the second derivative of 3/17*r**5 + 1/357*r**7 + 9/17*r**2 - 31*r + 23/51*r**4 + 0 + 3/85*r**6 + 11/17*r**3. Suppose p(b) = 0. Calculate b.
-3, -1
Let g(z) = 5*z**2 + 3*z + 1. Let v(f) = -f**2 - f. Let r(h) = g(h) + 4*v(h). Let a(j) = -3*j**2 + j - 8. Let x(w) = a(w) + 4*r(w). Factor x(m).
(m - 4)*(m + 1)
Let x be (-4)/(-12)*2*3. Suppose -x*z + 5*n = 9 + 3, 0 = -4*z + 4*n. Solve -5*f**z - 27*f**2 + 6 + f - 15*f**3 + 14*f + 26*f**4 = 0 for f.
-1, -2/7, 1
Suppose 16/7*v**4 - 46/7*v**3 - 2/7*v**5 - 24/7*v + 0 + 8*v**2 = 0. What is v?
0, 1, 2, 3
Let s be (8/(-16))