
Let p = -4338193576/5094808887 - 1/4112033. Let o = 1/177 - p. Determine b so that 4/7*b + o*b**4 + 12/7*b**2 + 13/7*b**3 + 0 + 1/7*b**5 = 0.
-2, -1, 0
Suppose -v = -d + 18, 4*d + 1 + 39 = -3*v. Let x = v + 19. Factor 21*n**2 + n**3 + 509*n - 656*n - 2*n**x + 343.
-(n - 7)**3
Determine w so that 29/2*w - 31/2*w**2 - 29/2*w**3 + 15 + 1/2*w**4 = 0.
-1, 1, 30
Let p be 139/278*(-32)/(-6). Let q(z) be the third derivative of 0 + 0*z + 17/15*z**5 + 0*z**4 - p*z**3 + 9*z**2 + 3/5*z**6 + 2/21*z**7. Factor q(h).
4*(h + 1)**2*(h + 2)*(5*h - 2)
Suppose 167*f**2 - 95*f**2 - 4*f**4 - 30*f**3 + 8*f**4 - 6*f**3 = 0. Calculate f.
0, 3, 6
Let h(z) be the second derivative of -z**4/6 + 1181*z**3/3 - 1180*z**2 + 7708*z. Factor h(a).
-2*(a - 1180)*(a - 1)
Factor -p**2 - 52708 - 1112*p - 24576 - 3*p**2.
-4*(p + 139)**2
Suppose 70 = -2*d + 5*y + 15, d = 3*y - 26. Let o be (3 - (-99)/d) + 12/30. Let 4/7*m + 0 + o*m**2 + 1/7*m**3 = 0. Calculate m.
-2, 0
Factor 4*y + 120*y**2 - 37*y**3 - 183*y - 2*y + 59*y + 39*y**3.
2*y*(y - 1)*(y + 61)
Let p(r) be the second derivative of 2*r + 12 - 13/4*r**4 - 1/10*r**6 - 45/2*r**3 + 27/20*r**5 + 75*r**2. Find z, given that p(z) = 0.
-2, 1, 5
Let u(y) be the third derivative of 0 + 90*y**2 + 1/40*y**6 + 0*y**5 + 0*y**3 + 0*y + 0*y**4. Find r such that u(r) = 0.
0
Factor -709 - 10848*q**2 - 6646*q - 463 - 36 + 39*q - 637*q + 36*q**3.
4*(q - 302)*(3*q + 1)**2
What is w in 12*w + 16/3*w**4 - 40/3*w**3 + 48 - 160/3*w**2 + 4/3*w**5 = 0?
-4, -3, -1, 1, 3
Let z(c) be the first derivative of -31/3*c + 33 - 16/3*c**2 - 1/9*c**3. Find f such that z(f) = 0.
-31, -1
Let h(i) be the first derivative of 1/4*i**4 + 8*i + 1/3*i**3 - 5*i**2 - 41. Factor h(r).
(r - 2)*(r - 1)*(r + 4)
Let g(u) be the first derivative of 2*u**5/165 + 3*u**4/44 - 5*u**2 - 30. Let w(k) be the second derivative of g(k). Let w(t) = 0. What is t?
-9/4, 0
Let i(o) be the third derivative of o**6/72 - 5*o**5/12 + 125*o**4/24 + 65*o**3/6 - 22*o**2. Let h(z) be the first derivative of i(z). Factor h(a).
5*(a - 5)**2
Let n = -1031 - -1033. Factor -10*r**n - 8*r**2 + 11*r**2 - 20*r + 2*r**3 - 9*r**2 - 8 - 6*r**3.
-4*(r + 1)**2*(r + 2)
Suppose -130138*z**3 - 334 - 1959*z - 615*z**2 - 251 + 130129*z**3 = 0. What is z?
-65, -3, -1/3
Let a = 26305 + -26302. Let l = -7 + 19. Find s, given that 24 - 24*s + 3/2*s**4 - 3/2*s**5 + 12*s**a - l*s**2 = 0.
-2, 1, 2
Let 47/6*m + 1/6*m**5 + 0 - 71/3*m**2 + 24*m**3 - 25/3*m**4 = 0. Calculate m.
0, 1, 47
Let d(o) be the first derivative of 4*o**3/3 + 458*o**2 - 920*o - 11136. Factor d(i).
4*(i - 1)*(i + 230)
Let g = -3462/23 - -21025/138. Let q(b) be the first derivative of 25 - 25/2*b - 1/8*b**4 - 35/4*b**2 - g*b**3. Solve q(z) = 0 for z.
-5, -1
Let y be -1 + 19/(627/44)*(-9)/(-12). Let c(x) be the second derivative of -3/10*x**5 + y*x**3 + 0 + 1/15*x**6 + 13*x + 0*x**2 - 2/3*x**4. Factor c(l).
2*l**2*(l - 4)*(l + 1)
Let -26*i**3 - 62*i**2 + 2*i**4 + 250*i - 239*i + 15*i + 60 = 0. What is i?
-2, -1, 1, 15
Let -59/4*y**2 - 61/2*y + 1/4*y**3 + 0 = 0. What is y?
-2, 0, 61
Suppose 5*g = -3*l + 4*l + 27, 4 = -2*l. Suppose -8 = -o + p - 1, 2*o - 29 = g*p. Factor 2*x + 6*x - 6*x - 8 + 6*x - o*x**2.
-2*(x - 2)**2
Let d be (-2)/(-6) - (-19)/33. Let z = 4930889/33 - 448255/3. Find j such that 84/11*j**2 + z - 102/11*j - d*j**3 = 0.
2/5, 1, 7
Let g = 928 - 933. Let q be -3*(-3 + (g/20 - -3)). Factor -9/2*h + q*h**2 + 15/4.
3*(h - 5)*(h - 1)/4
Let t be (11/((-165)/108))/((-58)/145). Let n(m) be the first derivative of -t*m**2 - 24*m - 18 - 3/4*m**4 - 6*m**3. Determine o so that n(o) = 0.
-2
Let u(g) be the first derivative of 867*g**4/4 + 7837*g**3 + 2757*g**2/2 + 81*g - 332. Factor u(z).
3*(z + 27)*(17*z + 1)**2
Let j(w) be the third derivative of -w**8/1344 - w**7/140 + w**6/480 + w**5/40 - 11060*w**2. Suppose j(u) = 0. What is u?
-6, -1, 0, 1
Let h(k) = -5*k**3 - 34*k**2 - 12*k + 9. Let g(q) = -14*q**3 - 102*q**2 - 40*q + 30. Let j(s) = -3*g(s) + 10*h(s). Factor j(p).
-2*p**2*(4*p + 17)
Let w(m) be the third derivative of -m**6/60 + 219*m**5/35 + 94*m**4/21 + 2482*m**2. Factor w(i).
-2*i*(i - 188)*(7*i + 2)/7
Suppose 5*i - 15 = 5*j, -2*i + 6 = 32*j - 37*j. What is x in -5*x**i + 15*x**2 - 5*x**2 - 10*x**4 + 5*x**4 = 0?
-2, 0, 1
Let z = -31/538 + 2602/807. Determine y so that 1 + 1/2*y**2 + z*y = 0.
-6, -1/3
Let l(o) be the first derivative of -5*o**3/3 - 105*o**2/2 - 490*o - 1597. Let l(g) = 0. Calculate g.
-14, -7
Let u = 186638 + -186635. Let 2/3*d**4 + 0*d + 5/6*d**u - 1/2*d**5 + 0 - 1/3*d**2 = 0. What is d?
-1, 0, 1/3, 2
Let q be 15 - (5 - 0/(-6)). Let z(b) = -3*b**3 - 2*b**2 + 1. Let m be z(-1). Factor 18*f**2 + q*f**3 - 32*f**2 + 6*f - 2*f**3 + m*f**3 - 2*f**4.
-2*f*(f - 3)*(f - 1)**2
Let k be (-3*(1/(-6) + (-7)/21))/((-497)/(-994)). Let -57/5*u**2 - 297/5*u - 243/5 - 3/5*u**k = 0. What is u?
-9, -1
Let b = 25759/3428 + -49/3428. What is q in 0 + q**2 + 21/2*q**5 + 0*q + 17*q**4 + b*q**3 = 0?
-1, -1/3, -2/7, 0
Suppose -2*y + 0*y + 2*v + 6 = 0, 4*y + 2*v = 6. Solve -y*w - 2*w - 10*w + w**2 + w**2 = 0 for w.
0, 7
Let m(r) = 2*r**2 - 41*r + 40. Let q be m(19). Let u be 26/2 + q + 7. Find s, given that -2/7*s**u + 30/7*s + 16/7 + 12/7*s**2 = 0.
-1, 8
Let d(l) = -11*l**2 + 54*l + 38. Let o(c) = 3*c**2 + 22*c - 3*c**2 - 5*c**2 - 15*c + 20*c + 20. Let q(v) = 4*d(v) - 9*o(v). What is z in q(z) = 0?
-1, 28
Determine d, given that -63/2*d + 0 - 18*d**3 + 195/4*d**2 + 3/4*d**4 = 0.
0, 1, 2, 21
Let c be 6/15 + 26/10. Suppose -21*b - 9*b + 78 = 9*b. Determine i so that 0 + 6*i - 3/2*i**c - 9/2*i**b = 0.
-4, 0, 1
Let v be (15 + 949/(-65))*3/36. Let t(u) be the second derivative of 0*u**2 - v*u**5 + 15*u + 1/18*u**4 + 0 + 2/9*u**3. Let t(y) = 0. What is y?
-1, 0, 2
Let g be 4 - (450/24)/3 - (0 - 3). Let z(i) be the first derivative of 27*i - 14 + g*i**4 + 45/2*i**2 + 7*i**3. Factor z(b).
3*(b + 1)*(b + 3)**2
Suppose -22 + 60 = 19*o. Let k be 1/60*2 - (-10)/75. Suppose -k*d + 0 + 1/6*d**o = 0. Calculate d.
0, 1
Let s be -6 + 1 - -9 - 994. Let j = s + 7923/8. Factor -j*h**2 + 15/4*h - 75/8.
-3*(h - 5)**2/8
Suppose 68*i = -32*i - 6*i. Let r(p) be the third derivative of -1/150*p**5 - 5/3*p**3 + 1/6*p**4 + i + 0*p - 13*p**2. Find l, given that r(l) = 0.
5
Let m = 730 + -465. Let b = 796/3 - m. Factor -4/3 + b*i**2 + i.
(i - 1)*(i + 4)/3
Let a(d) be the first derivative of -d**3/6 - 6*d**2 + 25*d/2 - 1510. Factor a(c).
-(c - 1)*(c + 25)/2
Suppose -5*x - 10 = 5*g, -46*g + 4*x + 12 = -48*g. Suppose -4*z + g*y + 3*y + 37 = 0, -4*y - 20 = 0. Factor 0 - 2/7*w**z - 4/7*w**2 + 0*w.
-2*w**2*(w + 2)/7
Let a be ((-1735)/(-30))/(7/(-266)). Let b = -2193 - a. Factor 0 + b*n**2 - 4*n.
2*n*(7*n - 6)/3
Suppose 672/5*y**3 + 1452/5 - 164/5*y**4 + 2168/5*y**2 + 8/5*y**5 - 4136/5*y = 0. Calculate y.
-3, 1/2, 1, 11
Let n(c) = -3*c**2 + 18*c**2 + 23*c - 36*c**2 - 28*c**2 + 2. Let u(t) = 50*t**2 - 23*t - 3. Let q(s) = -6*n(s) - 5*u(s). Find j such that q(j) = 0.
1/4, 3/11
Let m(j) = -4*j**2 - 4*j + 20. Let u = 215 - 214. Let o(h) = h**2 + h - 2. Let x(w) = u*m(w) + o(w). Factor x(s).
-3*(s - 2)*(s + 3)
Let w(r) = r**3 + 7*r**2 - 704*r - 4256. Let x be w(-6). Solve -21/2*b + 21/2*b**3 + 3/2*b**x + 0 - 3/2*b**2 = 0.
-7, -1, 0, 1
Let f(p) be the third derivative of -p**7/2100 + p**6/300 + p**5/150 - p**4/15 + 2*p**2 - 554*p. Factor f(a).
-a*(a - 4)*(a - 2)*(a + 2)/10
Let n(y) be the third derivative of y**7/42 + 91*y**6/24 - 31*y**5/4 - 455*y**4/24 + 230*y**3/3 - 42*y**2 - 2*y - 2. Let n(f) = 0. What is f?
-92, -1, 1
Let t(l) be the first derivative of 25/2*l**2 - 625*l + 56 - 1/12*l**3. Let t(u) = 0. Calculate u.
50
Let r(d) be the third derivative of 0*d**4 - 17*d**2 + 0*d**3 + 0 - 1/315*d**7 + 0*d - 1/6*d**5 + 2/45*d**6. Determine s, given that r(s) = 0.
0, 3, 5
Let h be 28/12 + (6 - 95/15). Factor 2*n**2 + 10*n**3 - 19*n**2 + 175 + 5*n**3 - 10*n**3 - 165*n + h*n**2.
5*(n - 7)*(n - 1)*(n + 5)
Factor -179*i**3 - 22*i**2 - 672 - 320*i - 173*i**3 - 189*i**3 + 539*i**3 - 24*i**2.
-2*(i + 4)*(i + 7)*(i + 12)
Let x(u) be the first derivative of -4*u**5 - 13*u**4 + 8*u**3 - 710. Let x(f) = 0. Calculate f.
-3, 0, 2/5
Let o be (-9)/(-12) + -6 - (-19)/((-19)/(-6)). Let t(u) be the first derivative of -15 + 0*u + 0*u**2 - o*u**4 - u**3. Factor t(g).
-3*g**2*(g + 1)
Let x = 2/550385 - -550377/2