o*u = 0 for u.
-1, 2/3, 2
Let m(f) be the second derivative of f**5/70 + 34*f**4/21 - f**3/21 - 68*f**2/7 + 349*f. Suppose m(s) = 0. What is s?
-68, -1, 1
Let c(w) be the first derivative of -7/9*w**2 + 99 - 2/27*w**3 + 4*w. Factor c(t).
-2*(t - 2)*(t + 9)/9
Suppose -19*u + 1509 = 9375. Let k = -338 - u. Find c such that -k*c**3 - 201/2*c**2 - 73/2*c - 8*c**4 - 4 = 0.
-8, -1, -1/4
Suppose 7*u + 77 = 203. Let -19*y - 15*y**3 - u*y + 46*y + 25*y**2 + 5*y**5 - 19*y - 5*y**4 = 0. What is y?
-2, 0, 1
Let o(b) be the first derivative of -22 - 15/2*b - 1/2*b**3 - 9/2*b**2. Find r, given that o(r) = 0.
-5, -1
Factor -4102/5*f - 456/5 - 12258/5*f**3 + 54/5*f**4 - 12294/5*f**2.
2*(f - 228)*(3*f + 1)**3/5
Factor 120372*c**3 + 30*c + 192 - 4*c**2 + c**5 - c**4 - 120396*c**3 + 74*c + 56*c.
(c - 4)**2*(c + 2)**2*(c + 3)
Let t be (8*(-9)/216*12)/(-20). Factor -1/5*a**2 + 0 + t*a**5 + 1/5*a**4 + 0*a - 1/5*a**3.
a**2*(a - 1)*(a + 1)**2/5
Let q(y) be the third derivative of -y**6/660 - 8*y**5/55 - 132*y**2 + 2*y. Determine s so that q(s) = 0.
-48, 0
Let a(l) be the second derivative of -l**6/270 + 7*l**5/60 - 13*l**4/36 + 19*l**3/54 - 2*l + 204. Factor a(f).
-f*(f - 19)*(f - 1)**2/9
Let g(w) = w + 8. Let j be g(-6). Factor 12*s**j + 3 - 3 - 2*s - 13*s**2.
-s*(s + 2)
Let r(f) be the second derivative of -f**4/4 - 208*f**3 - 64896*f**2 + 86*f - 4. Let r(d) = 0. What is d?
-208
Let l(j) be the second derivative of -1/20*j**5 - 14*j - 1/30*j**6 + j**2 + 5/6*j**3 + 0 + 1/4*j**4. Factor l(f).
-(f - 2)*(f + 1)**3
Let m(d) be the second derivative of d**7/7 - 9*d**6/10 - 51*d**5/10 - 3*d**4 + 16*d**3 + 63*d**2/2 + 889*d. Solve m(r) = 0.
-3/2, -1, 1, 7
Let w(x) be the second derivative of -x**4/6 + 55*x**3/3 - 684*x**2 + 195*x. Factor w(d).
-2*(d - 36)*(d - 19)
Suppose 3*m = -2*z - 8, -51*m - 3*z - 12 = -52*m. Let f(r) be the first derivative of 1/21*r**3 - 1/28*r**4 + m*r + 0*r**2 + 6. Factor f(s).
-s**2*(s - 1)/7
Let i(h) be the second derivative of h**7/21 - 19*h**6/15 + 63*h**5/5 - 173*h**4/3 + 385*h**3/3 - 147*h**2 - 1476*h. Suppose i(g) = 0. What is g?
1, 3, 7
Let s(h) be the first derivative of 3/20*h**5 + 3/4*h**2 - 3/8*h**4 - h**3 + 9/4*h - 238. Factor s(n).
3*(n - 3)*(n - 1)*(n + 1)**2/4
Let w(j) be the third derivative of j**8/168 + j**7/35 - 7*j**6/10 + 49*j**5/15 - 29*j**4/4 + 9*j**3 - 3*j**2 + 86*j. Factor w(u).
2*(u - 3)*(u - 1)**3*(u + 9)
Let n(j) be the first derivative of 7 + 17/2*j**2 + 0*j + 5/8*j**4 - 2*j**3 - 1/20*j**5. Let m(w) be the second derivative of n(w). Let m(t) = 0. What is t?
1, 4
Suppose -6*r + 24 = -0*r. Let u(g) = -g**2 + 7*g - 10. Let l be u(r). Factor -18*q - 19*q + 50 + 112 + q + 2*q**l.
2*(q - 9)**2
Let k(n) be the third derivative of 13*n**5/30 - 141*n**4/10 + 13*n**3/15 + 44*n**2. Factor k(w).
2*(w - 13)*(65*w - 1)/5
Suppose -52*s + 14 = -51*s. Determine i so that -2*i**4 + 12*i**2 + 4*i - 12 + s - 4*i**3 - 12*i**2 = 0.
-1, 1
Suppose 9*l + 0*l = -6*l. Let h(k) be the third derivative of -k**3 + 0*k - 1/20*k**5 + 5*k**2 + l + 3/8*k**4. Determine b, given that h(b) = 0.
1, 2
Let u = -3597 + 3599. Let v(n) be the second derivative of -1/15*n**4 + 0 - u*n - 2/5*n**2 + 4/15*n**3. Let v(k) = 0. What is k?
1
Find t, given that -3/4*t**2 + 285/2*t - 558 = 0.
4, 186
Factor -1/5*x**2 - 1681/5*x - 336.
-(x + 1)*(x + 1680)/5
Let u = -187705/13 + 14419. Let b = u - -1316/65. Factor 0*i**4 + b*i + 2/5*i**5 - 4/5*i**3 + 0*i**2 + 0.
2*i*(i - 1)**2*(i + 1)**2/5
Let c = 6/1657 + 1633/6628. Let x(y) be the first derivative of c*y**3 + 3/8*y**2 + 0*y + 17. Determine i so that x(i) = 0.
-1, 0
Let t(b) = -27*b + 67. Let d be t(3). Let l be (-6*(-4)/(-84))/(2/d). Determine j so that -2/7*j + 2/7*j**3 + 4/7*j**l - 4/7 = 0.
-2, -1, 1
Let s(a) = -a**2 - 842*a - 172615. Let q be s(-489). Let 0 + 4/5*v**3 - v + 19/5*v**q = 0. What is v?
-5, 0, 1/4
Let h(a) = 3*a**2 + 6225*a + 3244794. Let k(s) = -6*s**2 - 12445*s - 6489586. Let z(x) = -7*h(x) - 3*k(x). Solve z(f) = 0.
-1040
Let l(x) = x**2 - 23096*x - 44444393. Let t(g) = 18*g**2 - 369537*g - 711110283. Let b(u) = 33*l(u) - 2*t(u). Factor b(m).
-3*(m + 3849)**2
Let u = -1558796 - -7794172/5. Solve 140/3*s**3 + u*s**2 - 196/5 + 52/5*s**4 + 2/3*s**5 - 854/15*s = 0 for s.
-7, -2, -3/5, 1
Let r(m) = -2*m**3 - 39*m**2 + 20*m + 3. Let g = -61 - -41. Let b be r(g). Solve -5*s**4 - s**2 - 3*s + 17*s**b + 198 - 3*s - 11*s - 192 = 0.
-1, 2/5, 1, 3
Let h(x) be the second derivative of -x**6/105 - x**5/35 + x**4/6 + 8*x**3/21 - 12*x**2/7 + 3328*x. Suppose h(w) = 0. What is w?
-3, -2, 1, 2
Let i(m) be the first derivative of -2*m**6/15 + 14*m**5/5 - 20*m**4 + 100*m**3/3 + 250*m**2 + 59*m - 45. Let z(o) be the first derivative of i(o). Factor z(s).
-4*(s - 5)**3*(s + 1)
Let r = 74 + -66. Suppose r = 5*i - 3*i. Factor -133*v**3 + 137*v**3 + 27*v**i + 71*v**2 + 661*v**2 + 192 + 248*v**3 + 672*v.
3*(v + 4)**2*(3*v + 2)**2
Let i(a) be the third derivative of a**7/420 - a**6/6 + 157*a**5/40 - 117*a**4/4 + 81*a**3 + 3*a**2 - 4*a + 4. Factor i(t).
(t - 18)**2*(t - 3)*(t - 1)/2
Let a(x) be the second derivative of 2*x**7/21 - 226*x**6/15 + 22*x**5 + 224*x**4/3 + 2*x - 25. Determine i, given that a(i) = 0.
-1, 0, 2, 112
Let x(v) be the first derivative of 1/9*v**2 + 76 - 1/18*v**4 + 10/9*v - 10/27*v**3. Find k, given that x(k) = 0.
-5, -1, 1
Let 2/9*i**2 - 1/3 + 2/3*i**3 - 5/9*i - 1/9*i**5 + 1/9*i**4 = 0. Calculate i.
-1, 1, 3
Let u be (3 - (-57)/(-21))*(9*(-5516)/(-2520) + -19). Factor 19/5*c - u*c**2 + 4.
-(c - 20)*(c + 1)/5
Let o(a) be the first derivative of 625*a**6/39 + 70*a**5 + 3139*a**4/26 + 4034*a**3/39 + 592*a**2/13 + 128*a/13 - 1248. Find b such that o(b) = 0.
-1, -8/25
Let y(j) be the second derivative of j**7/42 - j**6/5 - 7*j**5/4 - 4*j**4 - 10*j**3/3 - 958*j. Factor y(v).
v*(v - 10)*(v + 1)**2*(v + 2)
Let z = 2949 - 1959. Let c(a) = 273*a**2 - z*a + 79*a**2 + 485 - 42*a**2. Let j(i) = 14*i**2 - 45*i + 22. Let n(k) = 2*c(k) - 45*j(k). Factor n(w).
-5*(w - 4)*(2*w - 1)
Let h be (-8)/(-24) - (-14)/3. Let a be (0 - 5)*-2*2/4. Factor m**2 - m**3 + h - a + 0.
-m**2*(m - 1)
Let s be (-1305)/(-255) - (-2)/(-17). Suppose -s*q = 7*w - 2*w - 10, -4*q - 2*w = -12. Suppose -3*n + 15/4 + 3/2*n**3 + 6*n**q - 45/4*n**2 = 0. What is n?
-1, 1/2, 5/4
Let n(g) = -3*g - 177. Let u be n(-62). Let p(w) = 50*w - 440. Let j be p(u). Let -25/2*x + j + 5/2*x**2 = 0. Calculate x.
1, 4
Let r be 3380/20 - ((1 - 2) + 5). Let h = r - 163. Let 1 - 5/2*z + 5/2*z**3 - 9/2*z**h + 7/2*z**4 = 0. Calculate z.
-1, 2/7, 1
Determine f so that 5/2*f**4 + 240*f**2 + 0 + 110*f**3 + 0*f - 5/2*f**5 = 0.
-4, -3, 0, 8
Let n = 52 + -49. Solve -35*t**4 - 1076 + 21*t**3 + 1076 - 40*t**2 + 26*t**3 + 48*t**n - 20*t = 0.
-2/7, 0, 1, 2
Let r(q) be the second derivative of -q**7/98 - 9*q**6/35 + 36*q**5/35 + 40*q**4/7 - 1510*q - 3. Solve r(j) = 0 for j.
-20, -2, 0, 4
Solve 2/3*w**4 + 241/2*w**2 - 33/2*w**3 - 1265/6*w - 121/2 = 0 for w.
-1/4, 3, 11
Let v(u) = 372*u + 1860. Let x be v(-5). Let y(n) be the third derivative of 0*n - 6*n**2 + 0*n**4 + 0 + x*n**3 + 1/360*n**5. Find w, given that y(w) = 0.
0
Let z(x) be the first derivative of 0*x + 48*x**2 - 197 + 44/3*x**3 + x**4. Factor z(u).
4*u*(u + 3)*(u + 8)
Let -78*c**2 - 20*c + 12*c + 40*c + 94*c + 14*c + 2*c**4 = 0. Calculate c.
-7, 0, 2, 5
Let w(c) be the third derivative of -88/15*c**5 - 96*c**3 + 32*c**4 - 2/105*c**7 + 0*c + 8/15*c**6 + 1 - 69*c**2. What is z in w(z) = 0?
2, 6
Suppose -168 = -17*f - 11*f. Suppose 4*d + f*d = 20. Solve -d*x**2 + 1/2*x + 3/2 = 0 for x.
-3/4, 1
Let m be (2 + (-8)/10)*(-3040)/(-342). Let w = 8 + -6. Let m*l + 0 + 6*l**3 - 2/3*l**4 - 16*l**w = 0. Calculate l.
0, 1, 4
Suppose -5*n - 5*w = 30, -3*w - 6 = 5*n + 24. Let r be (-6)/(-45)*-5 - 28/n. Factor -238*s + 121*s + 125*s - r*s**3 - 4*s**2.
-4*s*(s - 1)*(s + 2)
Factor 700 + 71332*y**2 + 135*y - 142657*y**2 + 71324*y**2.
-(y - 140)*(y + 5)
Let z(a) be the third derivative of 13/60*a**5 - 3/4*a**3 + 23/32*a**4 + 0*a - 140*a**2 + 3/160*a**6 + 0. Find n such that z(n) = 0.
-3, 2/9
Let y be (-150)/(-175)*1*(-7)/(-3). Let m be (-26)/(-48) - 84/224. Factor -4/3 + m*b**y - 7/6*b.
(b - 8)*(b + 1)/6
Let b = -12 - -23. Suppose 779*w = -5*o + 775*w + 99, -72 = -4*o - 2*w. Factor 5*z**5 + b*z**2 - o*z**4 + 9*z**2 + 0*z**5.
5*z**2*(z - 2)**2*(