*4. Suppose q(a) = 0. What is a?
1
Let r be 0 + (3250/35)/(-5). Let i = -124/7 - r. Factor -2/7*s**3 - i*s + 2/7 + 6/7*s**2.
-2*(s - 1)**3/7
Let n = -504984/137 - -3686. Let d = 131/411 - n. Factor 0 + 2/3*t**2 + d*t**3 + 1/3*t.
t*(t + 1)**2/3
Suppose 241*f - 235*f = 42. Let x(r) be the third derivative of 1/525*r**f + 0*r**4 + 0*r**6 - 2*r**2 + 0 + 0*r - 1/75*r**5 + 1/15*r**3. Factor x(v).
2*(v - 1)**2*(v + 1)**2/5
Suppose -3*s = -8*s + 10. Let c be (-66)/(-55)*s/6. What is d in 0 - 1/5*d**2 + c*d = 0?
0, 2
Suppose 0 = 81*l - 78*l + 5*o + 10, 4*o = -4*l - 8. Factor l - 2/21*a**2 - 2/21*a**3 + 2/21*a**5 + 2/21*a**4 + 0*a.
2*a**2*(a - 1)*(a + 1)**2/21
Suppose m - 3 - 19 = 4*z, -4*z + 6 = m. Suppose -6*a**3 - m*a**5 + 10*a**5 + 3*a + 7*a**5 = 0. What is a?
-1, 0, 1
Let o(z) be the first derivative of 2*z**3/9 + 190*z**2 + 54150*z - 185. What is h in o(h) = 0?
-285
Let f(s) be the first derivative of 0*s**2 + 0*s - 16/3*s**6 - 12 - 48/5*s**5 - 9/2*s**4 - 2/3*s**3. Factor f(v).
-2*v**2*(v + 1)*(4*v + 1)**2
Suppose p = 4*l + 19, -2*p = 10*l - 3*l + 22. Let r(y) be the second derivative of 1/75*y**6 + 0*y**5 + 0 + 5*y + 0*y**p - 1/30*y**4 + 0*y**2. Factor r(u).
2*u**2*(u - 1)*(u + 1)/5
Let s = -262 - -266. Let h(t) be the second derivative of 0*t**s + 4*t + 0 + 0*t**2 + 1/10*t**3 - 3/100*t**5. Factor h(z).
-3*z*(z - 1)*(z + 1)/5
Let u = 73 + -38. Let n = u - 5. Factor 20*y**3 + n*y - 45*y**2 - 6 - 2 + 3.
5*(y - 1)**2*(4*y - 1)
Let m = 2235 - 2232. Factor -1/5*y**2 + 0 + 0*y + 2/5*y**m - 1/5*y**4.
-y**2*(y - 1)**2/5
Suppose -3*q**2 + 15*q**2 - 5*q**2 - 6*q**2 + 29*q + 32*q + 118 = 0. What is q?
-59, -2
Let i(k) = k**3 - 6*k**2 - 16*k + 2. Let x be i(8). Let j be (-1)/(-3)*(-9)/(-6). Factor j*z + 0 + 1/2*z**3 + z**x.
z*(z + 1)**2/2
Find z, given that -11/4*z - 1/4*z**2 - 5/2 = 0.
-10, -1
Suppose -5*v - 7*g + 230 = -2*g, 4*g - 142 = -3*v. What is p in 3*p**3 + v*p - 4*p**3 - 21*p - 20*p = 0?
-1, 0, 1
Let s(i) be the first derivative of -4*i**5/5 - 7*i**4 - 56*i**3/3 - 16*i**2 - 316. Suppose s(m) = 0. Calculate m.
-4, -2, -1, 0
Suppose -3*z + 0 = -6. Factor 4*s**3 + 4*s**2 + 3*s**3 - 5*s**3 + z*s.
2*s*(s + 1)**2
Suppose 8/3*h + 0 + 2/3*h**2 - 1/6*h**5 - 2*h**3 - 7/6*h**4 = 0. Calculate h.
-4, -2, 0, 1
Let m(b) = 2*b**2 - 2*b + 1. Let f(u) = -12*u**2 + 352*u - 7400. Let t(p) = f(p) + 4*m(p). Factor t(s).
-4*(s - 43)**2
Let h(i) be the first derivative of -4*i**3/3 + 524*i**2 - 68644*i + 268. Determine c so that h(c) = 0.
131
Let s be -4 + (34/(-29) - -1)*-20. Let n = s + 460/203. Factor n*m + 3/7*m**2 + 12/7.
3*(m + 2)**2/7
Suppose 5*y - 3*s = -569, -3*y - 19 = 2*s + 311. Let c = -108 - y. Factor -1/3*g**c + 0*g + 0*g**2 + 1/3*g**3 + 0.
-g**3*(g - 1)/3
Let l = 164/95 + -29/19. Factor l*a**3 - 1/5*a**2 + 0*a + 0.
a**2*(a - 1)/5
Let k(l) be the third derivative of -1/240*l**5 - 1/4*l**3 + 0*l - 5/96*l**4 + 0 + 17*l**2. Factor k(c).
-(c + 2)*(c + 3)/4
Find a, given that 0 - 27*a + 1/2*a**5 + 9/2*a**3 - 7/2*a**4 + 27/2*a**2 = 0.
-2, 0, 3
Let j(f) = -5*f**4 + 8*f**3 + 54*f**2. Let i(m) = 20*m**4 - 30*m**3 - 215*m**2. Let v(l) = 6*i(l) + 25*j(l). Factor v(h).
-5*h**2*(h - 6)*(h + 2)
Let y(q) be the third derivative of -q**5/75 - q**4/30 + 4*q**3/15 + 2*q**2 + 2. Factor y(o).
-4*(o - 1)*(o + 2)/5
Let v(o) be the third derivative of o**7/350 - 3*o**6/100 + 9*o**5/100 - 88*o**2. Find n such that v(n) = 0.
0, 3
Let j(m) be the third derivative of 11*m**5/450 - 13*m**4/180 + 2*m**3/45 - 12*m**2 + 5*m. Suppose j(z) = 0. Calculate z.
2/11, 1
Let l(y) = -90*y - 7. Let d be l(2). Let q = -182 - d. Determine r so that -18/11*r**3 - 10/11*r**4 - 2/11*r**q - 4/11*r + 0 - 14/11*r**2 = 0.
-2, -1, 0
Let g(d) be the third derivative of d**8/504 - d**7/315 - d**6/60 + d**5/18 - d**4/18 - 6*d**2 - 15. Suppose g(x) = 0. What is x?
-2, 0, 1
Solve -10/7*u + 8/7*u**4 + 12/7*u**3 - 2/7*u**5 - 8/7*u**2 + 0 = 0.
-1, 0, 1, 5
Factor 2*m**2 + m**2 + 57132 + 36014*m - 36842*m.
3*(m - 138)**2
Let w(f) = -5*f**2 - 6*f - 9. Suppose 6*n = -20 - 4. Let i(t) = -11*t**2 - 11*t - 18. Let q(b) = n*i(b) + 9*w(b). Factor q(o).
-(o + 1)*(o + 9)
Factor 2/3*j + 0 - 2/3*j**2.
-2*j*(j - 1)/3
Let p(x) = -x**3 + 1 + 100*x**2 - 50*x**2 - 46*x**2 + 1. Let s be p(0). Factor -1/3*f**5 + 0 - s*f**3 - 4/3*f**2 - 1/3*f - 4/3*f**4.
-f*(f + 1)**4/3
Let b(n) be the second derivative of 1/15*n**4 + 0 - 12*n + 0*n**3 - 7/50*n**5 + 0*n**2 - 4/75*n**6. Factor b(t).
-2*t**2*(t + 2)*(4*t - 1)/5
Suppose 11 + 1/2*w**2 + 13/2*w = 0. Calculate w.
-11, -2
Suppose -z = 5*x - 5, -5*x = -3*z + 7*z + 10. What is d in -23*d**2 + 4*d**4 - 16*d**2 + 16*d**3 + 4 + 20*d**4 + 2*d - 18*d**5 + 11*d**x = 0?
-1, -1/3, 2/3, 1
Let y(i) = -2*i**2 + i - 1. Let f(n) = 45*n**2 + 10*n + 245. Let u(o) = -f(o) - 25*y(o). Factor u(v).
5*(v - 11)*(v + 4)
Factor 48/5 + 46/5*s - 2/5*s**2.
-2*(s - 24)*(s + 1)/5
Let m(c) be the first derivative of -5*c**3/12 + 185*c**2/4 + 190*c - 675. Factor m(t).
-5*(t - 76)*(t + 2)/4
Let p(q) be the third derivative of -q**6/540 + q**5/270 + 5*q**4/18 + q**2 - 201. Factor p(v).
-2*v*(v - 6)*(v + 5)/9
Let f be 4/(-20)*-10*(-4)/(-8). Factor 17 - 3*k**2 + 10*k + f + 7 + 4*k**2.
(k + 5)**2
Let a(y) be the second derivative of y**6/6 - 5*y**5/4 + 5*y**4/6 + 50*y**3/3 - 60*y**2 + 299*y. Factor a(w).
5*(w - 3)*(w - 2)**2*(w + 2)
Let j(m) be the third derivative of -99/32*m**4 - 6*m**2 + 81/8*m**3 + 19/80*m**5 + 6 + 0*m - 1/160*m**6. Find x, given that j(x) = 0.
1, 9
Solve -2*h**2 + 7*h - 13*h + 18 + 62 + 12*h = 0 for h.
-5, 8
Let j(n) = -n**3 + n**2. Let h(p) be the first derivative of 7*p**4/4 - 2*p**3 - 7*p**2/2 + 6*p - 25. Let r(v) = -h(v) - 6*j(v). Determine w so that r(w) = 0.
-3, 1, 2
Let o(y) be the first derivative of -y**9/4536 - y**8/840 - y**7/630 + 5*y**3/3 - 2. Let g(p) be the third derivative of o(p). Solve g(k) = 0.
-2, -1, 0
Find l such that -1/4*l**2 - 3/4*l + 3/4*l**3 + 1/2 - 1/4*l**4 = 0.
-1, 1, 2
Let y(l) = l**3 + 10*l**2 + 8*l + 18. Let s be y(-9). Solve -s*v**3 - 13156*v**4 + 13171*v**4 - 6*v - 2*v**5 - v**5 + 21*v**2 = 0.
0, 1, 2
Let h(a) be the second derivative of -3*a**2 + 15/4*a**5 + 0 - 21*a + 21/2*a**3 - 15*a**4. Let h(r) = 0. What is r?
1/5, 2
Let 2/5*j**2 + 4/5*j + 0 = 0. What is j?
-2, 0
Factor 0 - 2/5*a + 2*a**3 - 2/5*a**2 - 6/5*a**4.
-2*a*(a - 1)**2*(3*a + 1)/5
Let b be (40/12 - 3)/((-1)/(-9)). Let 168*n**2 + 55*n**4 + 10*n**3 - 223*n**2 - b*n - 7*n = 0. What is n?
-1, -2/11, 0, 1
Let y be -4 - 1 - -3 - -36. Suppose 2*w + 6*b - 14 = 3*b, -3*b = 4*w - y. Determine c, given that -w + 3*c**4 - 6*c**2 - 3*c**3 + 10 = 0.
-1, 0, 2
Let o(a) be the third derivative of a**9/19656 - a**7/5460 - 5*a**3/2 - 11*a**2. Let d(c) be the first derivative of o(c). Factor d(g).
2*g**3*(g - 1)*(g + 1)/13
Let -54 - 51*u**3 + 9/2*u**4 + 6*u + 189/2*u**2 = 0. Calculate u.
-2/3, 1, 2, 9
Suppose -3*f = f + 60. Let n = f + 22. Factor -2*i**4 - i**4 + 10*i**2 - n*i**2.
-3*i**2*(i - 1)*(i + 1)
Suppose -225 = 3*v + 369. Let t = v + 595/3. Factor -1/3*u**4 + t*u**5 + 0*u + 0 + 0*u**3 + 0*u**2.
u**4*(u - 1)/3
Let w be (2904/847)/(4/14). Let u(f) be the second derivative of -1/5*f**3 + 1/50*f**5 + 0 - w*f + 0*f**4 + 2/5*f**2. Find d, given that u(d) = 0.
-2, 1
Factor 0*t + 0 + 1/4*t**3 + 1/8*t**4 + 1/8*t**2.
t**2*(t + 1)**2/8
Suppose 2*d - 44 = -2*d. Let q = 18 - d. Solve -10*x + q*x + 3*x**2 + 0*x = 0 for x.
0, 1
Let i(b) be the second derivative of 0 - 3/16*b**4 - 7/8*b**2 + 5/8*b**3 + 1/80*b**5 - 46*b. Factor i(h).
(h - 7)*(h - 1)**2/4
What is z in -729/8 - 25/8*z**4 + 1215/8*z - 135/4*z**2 - 95/4*z**3 - 1/8*z**5 = 0?
-9, 1
Let y = -2 + 7. Suppose -8*i = -13*i + y. Factor i - 4*p**2 - 8*p**2 - 1 + 9 - 3*p.
-3*(p + 1)*(4*p - 3)
Let h(f) = f**2 - 3*f - 2*f**3 + 10*f**3 + 2*f - 9*f**3 + 1. Let s(i) = -3*i**3 + 3*i**2 - i + 1. Let b(r) = -6*h(r) + 3*s(r). Factor b(x).
-3*(x - 1)**2*(x + 1)
Let l(s) = s**3 + s**2 - 1. Let g = 1 - -7. Let p(d) = -4*d**4 - 16*d**3 - 4*d**2 + 8*d + 8. Let z(u) = g*l(u) + p(u). Find n, given that z(n) = 0.
-2, -1, 0, 1
Suppose -3*m = d - 11, 2*d - 42*m + 43*m = 12. Determine l so that 1/7*l**d - 2/7 + 1/7*l - 2/7*l**3 + 4/7*l**2 - 2/7*l**4 = 0.
-1, 1, 2
Let w = -5291 - -5294. Let 0 - 3/7*b**2 + 0*b - 9/7*b**w = 0. What is b?
-1/3, 0
Let o(r) be the second derivative of 1/126*r**4 + 0 - 5*r - 