.
-9, 0, 1
Let y(r) = -r**3 - 6*r**2 + 6*r - 1. Let j be y(-7). Suppose -j*i + 11 = -1. Solve 8*m**i - 2*m**2 - 3*m**4 + 4 - 7 = 0 for m.
-1, 1
Let z(w) = w**3 + 39*w**2 + 39*w + 50. Let d be z(-38). Let x be (1 - (-10)/(-7))*(-42)/d. Find v such that 13*v - 4 - 25/2*v**2 + x*v**4 + 2*v**3 = 0.
-4, 2/3, 1
Let g be -3 - (-82)/18 - (-3 + (-348)/(-108)). Suppose g*u**2 + 0 + 10/3*u + 2/15*u**3 = 0. Calculate u.
-5, 0
Let r = -190 + 534. Let p be r/16 - 2/4. Let 8*w - p*w + 20 + 5*w**2 - 7*w = 0. Calculate w.
2
Let h = 29978 - 89924/3. Solve 14/3*c**2 - h*c**5 + 4/3*c - 14/3*c**4 + 0 + 2*c**3 = 0 for c.
-1, -2/5, 0, 1
Let p(y) be the third derivative of -y**5/210 - 218*y**4/3 - 1330672*y**3/3 + 9320*y**2. Factor p(o).
-2*(o + 3052)**2/7
Suppose -8*q - 15 = -11*q. Suppose q*x = -5*g + 5, 0*g - 2*x + 4 = 3*g. What is z in -5*z - 2*z**2 + z**2 - 4*z**g = 0?
-1, 0
Let s = 4046069/40 + -809193/8. Determine w so that -14/5 - s*w + 1/5*w**2 = 0.
-1, 14
Suppose -4/9*l**2 - 3016/9 + 1516/9*l = 0. What is l?
2, 377
Let m(q) be the third derivative of q**6/360 + 59*q**5/15 + 3481*q**4/2 + 2242*q**2. Suppose m(i) = 0. Calculate i.
-354, 0
Let m(y) be the first derivative of y**6/480 - y**5/40 - 5*y**4/32 - 4*y**3/3 - y**2/2 - 25. Let g(i) be the third derivative of m(i). Factor g(h).
3*(h - 5)*(h + 1)/4
Suppose 2736*p - 1383853 = 1965011. Solve 147/2*b**3 + 6144 + p*b**2 + 7296*b + 3/2*b**4 = 0.
-16, -1
Let y = -398 + 623. Find q such that 106*q**3 - 15*q**2 - y*q**3 + 200 - 90*q + 124*q**3 = 0.
-4, 2, 5
Let b(z) be the third derivative of -z**7/70 + 7*z**6/20 + 12*z**5/5 + 25*z**4/4 + 17*z**3/2 + 3*z**2 + 427*z + 1. Solve b(c) = 0 for c.
-1, 17
Let o(l) = 6 + 5*l**2 + 15 - l**2 - 19. Let m(f) = 0*f + 20*f**2 + 11 - 2*f**3 + f + 3*f**3. Let n(a) = 4*m(a) - 22*o(a). Find y such that n(y) = 0.
0, 1
Let b = 606/2611 - -20/373. Suppose 0 = 2*a + 4, d + a = -0*a - 2. Factor d + 0*t - b*t**2.
-2*t**2/7
Let n(b) be the first derivative of -b**4/12 - 35*b**3/9 + 47*b**2 - 168*b + 4271. Factor n(s).
-(s - 4)*(s - 3)*(s + 42)/3
Let k(i) = -7*i**4 - 84*i**3 - 38*i**2 + 12*i + 13. Let w(h) = -6*h**4 - 58*h**3 - 38*h**2 + 12*h + 12. Let u(g) = 3*k(g) - 4*w(g). Factor u(b).
(b - 3)**2*(b - 1)*(3*b + 1)
Let p(c) = c - 22. Let u(s) = 2*s - 43. Let b(w) = -7*p(w) + 4*u(w). Let o be b(20). Factor 13*l**2 - 4*l**4 + l**4 - 13*l**o.
-3*l**4
Let p be (5/(-25))/((-444)/814 - 1/(-22)). Factor -p*m - 1/5*m**2 + 8/5.
-(m - 2)*(m + 4)/5
Let l(j) be the first derivative of 2*j**3/33 + 155*j**2/11 + 28*j + 384. Find r, given that l(r) = 0.
-154, -1
Let n(p) be the second derivative of -5/3*p**3 + 20/3*p**2 + 10*p + 0 + 1/12*p**5 - 5/12*p**4. Factor n(y).
5*(y - 4)*(y - 1)*(y + 2)/3
Let n(b) be the first derivative of 3*b**5/80 + 3*b**4/8 - 2*b**3 + 337*b + 264. Let i(l) be the first derivative of n(l). Factor i(r).
3*r*(r - 2)*(r + 8)/4
Let p(i) = -i**3 + 7*i**2 - 3*i - 16. Let v be p(6). Find n such that 2*n**3 - 2*n**2 + v + n + 0*n**3 - 3*n**3 = 0.
-2, -1, 1
Factor -2221830/17*s + 2217618/17 + 4214/17*s**2 - 2/17*s**3.
-2*(s - 1053)**2*(s - 1)/17
Let r be 445 - (-4)/((-28)/21). Determine g so that -885*g**2 + 442*g**2 + r*g**2 - 4*g - g + 14 = 0.
-7, 2
Let o(u) be the third derivative of u**5/480 - 289*u**4/48 + 83521*u**3/12 - 3*u**2 - 5*u + 77. What is i in o(i) = 0?
578
Let d(j) be the second derivative of 5*j**5/2 + 7*j**4/2 - 25*j**3/3 - 21*j**2 - 2856*j. Let d(n) = 0. What is n?
-1, -21/25, 1
Let z(o) be the third derivative of o**8/336 + 6*o**7/35 + 67*o**6/40 - 215*o**5/6 + 413*o**4/2 - 588*o**3 + 1101*o**2. Determine g, given that z(g) = 0.
-21, 2
Let c be (10/6)/(310/372). Factor -23*o - 9*o + 27*o**3 + 243*o**4 - 168*o**c + 80*o.
3*o*(o + 1)*(9*o - 4)**2
Let m = 10022 + -10005. Let y(f) be the second derivative of -9/10*f**2 - m*f + 13/10*f**3 - 1/5*f**4 + 0. Factor y(x).
-3*(x - 3)*(4*x - 1)/5
Let u be ((-18)/(-245))/((-96)/(-224))*(37 - 9). Suppose -2/5*g**2 - 14/5*g - u = 0. What is g?
-4, -3
Suppose -3*v - 124 = -2*m, -4*v - 55 - 201 = -4*m. Find h such that 4*h**2 - 86*h - 38*h - 60 + m*h = 0.
-1, 15
Let u(t) be the first derivative of -2*t**5/25 - 122*t**4/5 + 658*t**3/5 - 1238*t**2/5 + 992*t/5 - 7748. Let u(n) = 0. What is n?
-248, 1, 2
Let c(p) be the first derivative of -63*p**4/4 - 10*p**3 + 63*p**2/2 + 30*p - 1618. Factor c(j).
-3*(j - 1)*(j + 1)*(21*j + 10)
Let h(v) be the first derivative of -2*v**3/7 - 10062*v**2/7 - 16873974*v/7 + 13437. Let h(t) = 0. What is t?
-1677
Let p(k) be the second derivative of k**5/10 - 3*k**4 - 61*k**3/3 - 42*k**2 - 157*k. Let p(w) = 0. Calculate w.
-2, -1, 21
Let f(v) = -98*v**2 + 3285*v - 951. Let p(s) = -65*s**2 + 2190*s - 635. Let r(b) = 5*f(b) - 7*p(b). What is o in r(o) = 0?
2/7, 31
Factor -6/11*g**3 + 0 - 26/11*g**2 + 2/11*g**4 + 30/11*g.
2*g*(g - 5)*(g - 1)*(g + 3)/11
Let x be (14/(-21))/((13/39)/((-1)/9)). Factor -4/9*q**3 + 0 + 4/9*q + x*q**4 - 2/9*q**2.
2*q*(q - 2)*(q - 1)*(q + 1)/9
Suppose 14 = -2*m - 4*a, 0*a = 2*m - 3*a - 14. Suppose 4*x**2 + m + 4 + 12*x - 5 = 0. What is x?
-3, 0
Let t(r) be the third derivative of -r**7/63 - 59*r**6/720 - 37*r**5/360 + r**4/72 + 22*r**2 + 28. Suppose t(u) = 0. Calculate u.
-2, -1, 0, 1/20
Let i(k) be the third derivative of k**6/36 - 56*k**5/45 + 11*k**4/9 - 2274*k**2. Let i(j) = 0. Calculate j.
0, 2/5, 22
Let n = -1450516 - -1450516. Factor n*l - 38/5*l**2 - 74/5*l**3 + 2/5*l**5 - 34/5*l**4 + 0.
2*l**2*(l - 19)*(l + 1)**2/5
Let b(v) be the first derivative of -3*v**5/5 + 54*v**4 - 1791. Find n, given that b(n) = 0.
0, 72
Let s(j) = 25*j**2 + 3*j - 35. Let i be s(5). Solve -29*d - 76*d + 39*d - 44*d + 5*d**2 + i = 0.
11
Suppose -34*x = -57*x + 179 - 179. Factor x*p**2 + 0*p + 0 + 1/3*p**4 - p**3.
p**3*(p - 3)/3
Factor 9/4*i**2 - 1/4*i**3 + 84*i + 400.
-(i - 25)*(i + 8)**2/4
Let b(v) be the first derivative of 41 - 145/2*v**2 + 30*v - 25/3*v**3. Factor b(s).
-5*(s + 6)*(5*s - 1)
Let z(n) be the first derivative of -n**6/60 + n**5/4 - 25*n**4/16 + 11*n**3/3 - 78. Let a(y) be the third derivative of z(y). Factor a(j).
-3*(2*j - 5)**2/2
Suppose 4*r = t + 2, -4 = -t - 2*t + 2*r. Solve -19*k**2 + 18*k**t + 54*k + 24 + 34*k**2 - 3*k**4 = 0.
-2, -1, 4
Suppose 16/3 - 27*h + 23*h**2 - 4/3*h**3 = 0. What is h?
1/4, 1, 16
Let n(f) = -4*f**4 - 19*f**3 - 37*f**2 + 2*f + 164. Let b(y) = -y**2 + y + 16. Let t(a) = 30*b(a) - 3*n(a). Factor t(d).
3*(d + 1)*(d + 2)**2*(4*d - 1)
Let x(m) = -20*m - 178. Let v = -43 - -34. Let j be x(v). Factor -2/3*b**j + 2*b + 0.
-2*b*(b - 3)/3
Let u(v) be the third derivative of v**5/15 + 7*v**4/6 + 20*v**3/3 - 429*v**2. Solve u(o) = 0.
-5, -2
Let t(q) be the second derivative of -q**4/3 + 56*q**3/3 + 58*q**2 - 42*q - 10. Solve t(i) = 0.
-1, 29
Let k(d) be the first derivative of -2*d**3/3 + 19*d**2 - 120*d + 397. Factor k(m).
-2*(m - 15)*(m - 4)
Find s, given that -3*s**2 - 2766 - 583 - 270*s - 773 - 1953 = 0.
-45
Let -32 - 2/3*y**4 + 34/3*y**3 - 22/3*y**2 - 154/3*y = 0. What is y?
-1, 3, 16
Suppose 3*h - 40 = -h. Suppose 0*u = -u - d + 5, u - 4*d + h = 0. Factor -4*k**4 + 7*k**4 - 8*k**u + 5*k**4 + 2*k**3 - 2*k.
2*k*(k - 1)*(k + 1)*(4*k + 1)
Let p(h) = 2*h**4 + 10*h**3 - 17*h**2 - 112*h + 3. Let x(n) = -n**4 - 12*n**3 + 18*n**2 + 112*n - 2. Let d(i) = 6*p(i) + 9*x(i). Find s such that d(s) = 0.
-2, 0, 4, 14
Let f = -5166 - -36180/7. Let c(b) be the first derivative of f*b**2 - 41/14*b**4 - 33/5*b**5 + 14/3*b**6 + 4/7*b - 4 + 11/3*b**3. Suppose c(x) = 0. What is x?
-2/7, -1/4, 1
Suppose b - 9802*g + 9801*g = -10, 5*g - 50 = 0. Factor 0*n - 3/4*n**5 - 9/4*n**4 + 0 + b*n**2 - 3/2*n**3.
-3*n**3*(n + 1)*(n + 2)/4
Determine n so that -358/9*n**2 - 176/9*n - 64/9*n**3 + 200/3 - 2/9*n**4 = 0.
-25, -6, -2, 1
Let t(w) be the second derivative of -w**8/84 + w**6/15 - w**4/6 + 33*w**2/2 - 58*w. Let y(i) be the first derivative of t(i). Factor y(z).
-4*z*(z - 1)**2*(z + 1)**2
Let o(p) be the third derivative of -p**8/420 + 19*p**7/1050 + 17*p**6/600 - 49*p**5/300 - 53*p**4/120 - p**3/3 + 8631*p**2. Solve o(r) = 0 for r.
-1, -1/4, 2, 5
Let i(t) be the second derivative of t**6/48 + 63*t**5/40 + 130*t**4/3 + 483*t**3 + 539*t**2 + 16*t + 59. Determine k, given that i(k) = 0.
-22, -14, -2/5
Let x(m) = -m**2 + 8*m - 13. Let s be (-26)/(-6) + 96/(-72). Let u be x(s). Suppose 1/