hat z(m) = 0.
-1, 1, 21
What is k in -108/7 - 38/7*k + 8/7*k**2 = 0?
-2, 27/4
Suppose 2*g - 14 = -6. Determine f so that -16*f**2 + 14*f**2 + 162*f**g - 160*f**4 = 0.
-1, 0, 1
Let i be 15 + (18/10)/((-14)/70). Let b(x) be the first derivative of -27*x**2 + i*x**3 - 1/2*x**4 + 54*x + 7. Determine a, given that b(a) = 0.
3
Let v be (-6 + -37 + -1)*82/(-492). Suppose -v*z**3 + 4/3*z**2 + 26/3*z**4 + 0*z + 0 - 8/3*z**5 = 0. Calculate z.
0, 1/4, 1, 2
Let u(h) = -120*h + 36. Let o be u(-2). Let f = o + -1378/5. Factor -1/5*s**2 + 1/5*s + f.
-(s - 2)*(s + 1)/5
Let k(x) be the third derivative of -2*x**7/105 - 7*x**6/30 - 2*x**5/5 + 14*x**4/3 + 80*x**3/3 - 6*x**2 + 2*x - 39. Factor k(h).
-4*(h - 2)*(h + 2)**2*(h + 5)
Let j be -5*(-1)/30 - (-11)/6. Suppose 5*n**3 + 5*n**2 - 5*n**4 + 4*n**j + n**2 = 0. What is n?
-1, 0, 2
Let a(m) be the third derivative of -m**11/66528 + m**10/5040 + m**9/1728 + 53*m**5/60 - 39*m**2. Let u(g) be the third derivative of a(g). Factor u(j).
-5*j**3*(j - 7)*(j + 1)
Let l(a) = 79*a**2 - 493*a + 917. Let b(w) = 6*w**2 - 2*w - 1. Let o(p) = 26*b(p) - 2*l(p). Let o(z) = 0. Calculate z.
2, 465
Factor 27 + 10*r**3 + 459/10*r + 1/10*r**5 + 8/5*r**4 + 153/5*r**2.
(r + 2)*(r + 3)**3*(r + 5)/10
Let b(g) = g**3 - 12*g**2 - 4*g + 3. Suppose -2*c + 4*m + 3 = 27, 0 = -4*m. Let o(k) = -2*k**3 + 1. Let r(z) = c*o(z) + 4*b(z). Factor r(n).
4*n*(n - 2)*(7*n + 2)
Let b = 200 + -195. Let f be ((-18)/45)/((-4)/b). Factor 2/3 - 7/3*c**3 + f*c**4 - 8/3*c + 23/6*c**2.
(c - 2)*(c - 1)**2*(3*c - 2)/6
Let c(u) = -10*u**3 - 165*u**2 + 620*u - 665. Let q(h) = 7*h**3 + 83*h**2 - 311*h + 333. Let p(v) = 3*c(v) + 5*q(v). Factor p(s).
5*(s - 11)*(s - 3)*(s - 2)
Suppose 4*b - 115 = f, 4*b + b + 2*f - 134 = 0. Let -40 + v - 25*v + 20*v**4 + 40 + b*v**3 - 4*v**5 - 20*v**2 = 0. What is v?
-1, 0, 1, 6
Factor 63*b**3 + 3/2*b**4 + 0 + 4116*b + 882*b**2.
3*b*(b + 14)**3/2
Let t = -6 - -9. Suppose -2*g + t*w = -19, 0 = -g - 0*g + 4*w + 17. Factor -690*y**2 + g*y - 8*y**3 + 4*y**5 + 690*y**2 - y.
4*y*(y - 1)**2*(y + 1)**2
Let u(l) be the second derivative of -2*l**6/15 + 308*l**5/5 - 102*l**4 - 616*l**3/3 + 614*l**2 + 478*l - 1. Suppose u(g) = 0. What is g?
-1, 1, 307
Let d(w) be the third derivative of 1/15*w**5 + 5*w**2 + 6 - 1/112*w**8 + 0*w**6 + 0*w**3 + 0*w - 1/30*w**7 + 0*w**4. Solve d(c) = 0 for c.
-2, -1, 0, 2/3
Let w(r) be the second derivative of r**5/10 - 6*r**4 - r**3/3 + 36*r**2 - 1674*r. Factor w(x).
2*(x - 36)*(x - 1)*(x + 1)
Let g(v) = -2. Let t(f) = -2*f**2 - 600*f - 45006. Let h(i) = -3*g(i) + t(i). Determine r so that h(r) = 0.
-150
Let u be (-2)/9*189/(-27237). Let k = 2600/3891 - u. Find v such that -8/3 - 2/3*v + 8/3*v**2 + k*v**3 = 0.
-4, -1, 1
Factor -5*c**3 - 41214*c - 7672 - 785*c**2 + 103672 + 11614*c.
-5*(c - 3)*(c + 80)**2
Solve -35/3*d**2 + 0 - 25/3*d**4 - 15*d**3 - 5/3*d**5 - 10/3*d = 0.
-2, -1, 0
Let m = -263 - -264. Let n be 10 - m - (-230)/(-40). Solve g**4 - 1/4*g**2 - 3/4 - 13/4*g**3 + n*g = 0.
-1, 1/4, 1, 3
Let l(c) be the third derivative of -5*c**8/336 - 20*c**7/7 - 386*c**6/3 + 2560*c**5 - 40960*c**4/3 + 4413*c**2. Determine s so that l(s) = 0.
-64, 0, 4
Suppose 4*p = -13 + 21. Find h, given that -88*h + 108 - 36*h + 4 - 12*h**p + 16*h + 8*h**2 = 0.
-28, 1
Let c(d) be the second derivative of d**7/21 + 71*d**6/15 - 149*d**5/10 - 215*d**4/6 + 296*d**3/3 + 292*d**2 - 2730*d. Let c(u) = 0. What is u?
-73, -1, 2
Let b(o) = -4*o**3 - 5*o**2 - 28*o - 16. Let m be b(-4). Let a = 275 - m. Determine g, given that -9/2*g**2 - a*g + 0 = 0.
-2/3, 0
Solve -8*a**2 - 8285*a**4 + 24*a + 8293*a**4 - 26*a**3 + 3*a**5 - a**5 = 0.
-6, -1, 0, 1, 2
Let o(d) be the second derivative of -9*d**5/25 + 848*d**4/5 + 6808*d**3/15 + 2272*d**2/5 - 2665*d. Let o(n) = 0. What is n?
-2/3, 284
Suppose 8*h - 164*b = -166*b + 12, 3*b = 5*h + 18. Solve h - 1/3*k**2 - 16/3*k = 0 for k.
-16, 0
Let x(m) be the first derivative of m**6/45 + 56*m**5/75 - 49*m**4/10 - 1372*m**3/5 - 1748. What is y in x(y) = 0?
-21, 0, 14
Let a(v) = -24*v**2 + 150*v - 136. Let o(b) = -2*b**2 + b. Let r(m) = -31*m + 123. Let g be r(4). Let d(l) = g*a(l) + 10*o(l). Factor d(i).
4*(i - 34)*(i - 1)
Factor -2/5*t**2 + 782/5*t - 156.
-2*(t - 390)*(t - 1)/5
Let k be 6/(-10)*(-4)/6. Let g be ((-27)/81)/(100/(-24) - -4). Determine t, given that -6/5*t + k*t**g - 8/5 = 0.
-1, 4
Let y(h) = 82*h**4 + 132*h**3 - 539*h**2 + 48*h + 707. Let s(m) = -7*m**4 - 11*m**3 + 45*m**2 - 4*m - 59. Let u(k) = -70*s(k) - 6*y(k). Factor u(l).
-2*(l - 2)**2*(l + 1)*(l + 14)
Solve 3/2 - 1/2*z**5 - 13/2*z + 11*z**2 + 7/2*z**4 - 9*z**3 = 0.
1, 3
Let g be (-14)/(-6) - (-74)/111. Factor -2*f**3 - f**g + 15 + 35*f + 25*f**2 + 10*f**3 - 2*f**3.
5*(f + 1)**2*(f + 3)
Let r(h) be the second derivative of -7*h**4/60 + 4*h**3/15 - h**2/10 - 1909*h. Factor r(s).
-(s - 1)*(7*s - 1)/5
What is r in 750*r + 5921 + 9*r**3 - 14*r**3 - 5921 + 95*r**2 = 0?
-6, 0, 25
Let b(n) = 13*n**5 + 10*n**4 + 14*n**3 - 13*n**2 - 16*n + 3. Let v(i) = -7*i**5 - 5*i**4 - 7*i**3 + 7*i**2 + 8*i - 2. Let s(u) = -6*b(u) - 11*v(u). Factor s(c).
-(c - 1)*(c + 1)**2*(c + 2)**2
Let i(h) be the first derivative of -h**5/20 + 637*h**4/16 - 44943*h**3/4 + 9391383*h**2/8 + 9663597*h/2 - 241. Solve i(l) = 0 for l.
-2, 213
Suppose -287237*d = -287042*d - 585. Let j be (-6)/8 + (-1 - -2). Factor 3/2*s**2 + 3/2 + j*s**d + 11/4*s.
(s + 1)*(s + 2)*(s + 3)/4
Let q(v) be the second derivative of 1/180*v**6 + 675/4*v**2 - 5*v + 30*v**3 + 3/4*v**4 + 26 - 1/5*v**5. Solve q(r) = 0 for r.
-3, 15
Factor -46/19*t**2 - 2/19*t**3 + 1120/19*t - 4992/19.
-2*(t - 8)**2*(t + 39)/19
Let h be (-30 - 1040/(-26))*(-3)/(-105). Factor -8/7*a - 10/7 + h*a**2.
2*(a - 5)*(a + 1)/7
Let t(x) be the third derivative of x**4 + 8/15*x**5 - 7*x**2 + 3/4*x**3 + 0*x - 3. Factor t(r).
(8*r + 3)**2/2
Suppose 4*t = -4, -3*q = -3*t - 52 - 191. Let i = 85 - q. Let -2/11*k**3 + 1/11*k - 1/11*k**4 + 1/11*k**i - 1/11 + 2/11*k**2 = 0. What is k?
-1, 1
Let i(g) = g**4 - g - 1. Let k be (3 + -1)*3/6. Let s(m) = -2*m**4 + 15*m**3 + 63*m**2 + 52*m + 3. Let d(j) = k*s(j) + 3*i(j). Factor d(x).
x*(x + 1)*(x + 7)**2
Let k(g) = 3*g**2. Let s(d) = -d**2 - 12*d - 18. Let f be s(-10). Let m(r) = -11*r**2 - 20*r - 20. Let q(z) = f*k(z) + m(z). Let q(w) = 0. Calculate w.
-2
Let d(r) be the second derivative of 1/10*r**6 + 2 + 0*r**2 + 12*r**4 + 7*r - 9/4*r**5 + 32*r**3. Factor d(m).
3*m*(m - 8)**2*(m + 1)
Find g such that 8/9*g - 16/3*g**2 + 38/9*g**3 + 0 - 10/9*g**5 + 4/3*g**4 = 0.
-2, 0, 1/5, 1, 2
Let v be 11776/5632 - (-1)/(-11) - 10 - (-6264)/15. Find w such that -64/5*w - 1/10*w**2 - v = 0.
-64
Let l(c) be the first derivative of -c**4/36 + 8*c**3/27 - 5*c**2/6 + 3347. Factor l(x).
-x*(x - 5)*(x - 3)/9
Let j(u) be the third derivative of 0 - 60*u**2 + 5/54*u**3 + 0*u - 1/540*u**5 + 1/54*u**4. Factor j(z).
-(z - 5)*(z + 1)/9
Let y(a) be the first derivative of a**7/168 - a**5/6 - 5*a**3 - a + 12. Let d(c) be the third derivative of y(c). What is i in d(i) = 0?
-2, 0, 2
Let f = 82 - 849. Let d = -763 - f. Suppose 1/6*j**d + 0 - 1/2*j**2 + 0*j**3 + 1/3*j = 0. What is j?
-2, 0, 1
Suppose -412*l - 206*l + 760 = -1094. Suppose 135/4*q + 18*q**2 + 75/4 + 3*q**l = 0. What is q?
-5/2, -1
Factor -100/3*i - 98/3 - 2/3*i**2.
-2*(i + 1)*(i + 49)/3
Let h(g) be the third derivative of -g**5/90 + g**4/12 + 130*g**3/9 - 1945*g**2. Find t such that h(t) = 0.
-10, 13
Let r(o) be the second derivative of -o**5/12 - 5*o**4/24 + 5*o**3/3 - 35*o**2/2 - 3*o + 20. Let n(x) be the first derivative of r(x). What is a in n(a) = 0?
-2, 1
Find i, given that 1/3*i**2 + 1444908 + 1388*i = 0.
-2082
Factor -164*d**4 - 4*d**5 + 302907*d**2 - 302907*d**2 - 73*d**3 - 239*d**3.
-4*d**3*(d + 2)*(d + 39)
What is d in 0 - 467/7*d**4 + 5/7*d**5 - 284/7*d**3 + 0*d + 188/7*d**2 = 0?
-1, 0, 2/5, 94
Let -5*m**2 - 1149*m + 96 + 949*m + 324 = 0. Calculate m.
-42, 2
Let p = -777966 - -777970. Factor -1/2*s + 1/6*s**p + 1/6*s**2 + 1/2*s**3 - 1/3.
(s - 1)*(s + 1)**2*(s + 2)/6
Let t = -219 + 222. Solve 16*s**2 + 32*s + 10*s**3 + 3*s**t - 4*s**4 - 21*s**3 = 0.
-2, 0, 2
Let n(a) be the third derivative of 7/240*a**6 + 1/840*a**7 + 41*a**2 + 0*a - 45/16*a**4 + 1/20*a**5 + 81/8*a**3 + 2. Factor n(k).
(k - 3)*(k - 1)*(k + 9)**2/4
Let a(b) be the third derivative of b**