Suppose 92/13*g**2 + 400/13 - 392/13*g + 2/13*g**3 = 0. Calculate g.
-50, 2
Let s = 925/70882 + -3/427. Let i = s - -159/1162. Factor -2/7*g**2 + 2/7 - 1/7*g**3 + i*g.
-(g - 1)*(g + 1)*(g + 2)/7
Let x(s) be the second derivative of -2*s - 1/21*s**4 + 27 - 12/7*s**2 + 11/21*s**3. Suppose x(b) = 0. What is b?
3/2, 4
What is l in 436*l + 161788*l**2 - 4*l**3 + 67 - 363 - 161924*l**2 = 0?
-37, 1, 2
Let b(y) = -3*y**2 + 97*y - 665. Let r(x) = -3*x**2 + 96*x - 666. Let c(i) = -6*b(i) + 7*r(i). What is k in c(k) = 0?
14, 16
Let p(z) be the third derivative of 2*z**7/105 + z**6 - 463*z**5/15 - 82*z**4 + 11660*z**2. Find w, given that p(w) = 0.
-41, -1, 0, 12
Let r(f) be the second derivative of -f**5/40 + 17*f**4/24 + 41*f**3/12 - 57*f**2/4 - 997*f. Determine l so that r(l) = 0.
-3, 1, 19
Let b(f) be the second derivative of -f**6/600 + f**5/100 + 6*f**2 - f - 19. Let k(s) be the first derivative of b(s). Factor k(r).
-r**2*(r - 3)/5
Let c(l) be the third derivative of l**9/9072 - l**8/672 - 83*l**4/24 - 72*l**2. Let z(j) be the second derivative of c(j). Suppose z(r) = 0. What is r?
0, 6
Let q(f) = -f**3 + 3*f**2 + f - 3. Let n be q(2). Suppose -k + 0*k + 158 = 0. Suppose -158 + 5*t**n + 5*t - 10*t**2 + k = 0. Calculate t.
0, 1
Suppose 5 = 4*c - 3*l, 5*c + 3*l - 30 = 2*l. Suppose -14 = 15*p - 20*p - n, -3*p = 4*n - c. Let 4/7 - 10/7*o**2 + 6/7*o**4 + 2/7*o - 2/7*o**p = 0. What is o?
-1, -2/3, 1
Determine j so that 32 - 18448385*j**3 + 363*j + 1236696*j**2 - 11259*j - 28339947*j**3 = 0.
2/227
Let y = 206233 + -412461/2. Factor -k**4 + k + 1/2*k**3 + 0 + y*k**2.
-k*(k - 2)*(k + 1)*(2*k + 1)/2
Let i(t) be the third derivative of t**8/483 + 20*t**7/483 - 27*t**6/230 + 83*t**5/690 - 7*t**4/138 - 1202*t**2. Let i(l) = 0. What is l?
-14, 0, 1/2
Let f(w) be the second derivative of -10/3*w**4 + 31/3*w**3 + 22 - 3/10*w**5 - 8*w**2 - 3*w. Factor f(g).
-2*(g - 1)*(g + 8)*(3*g - 1)
Let -12/7*i**3 + 32/7*i - 6/7*i**2 + 2/7*i**4 + 24/7 = 0. What is i?
-1, 2, 6
Let i(r) be the third derivative of -49*r**5/80 + 1841*r**4/16 - 69169*r**3/8 + 2443*r**2. Factor i(f).
-3*(7*f - 263)**2/4
Let u(o) = -17*o**2 + 375*o + 1988. Let r(w) = -225*w**2 + 4875*w + 25840. Let m(d) = 3*r(d) - 40*u(d). Factor m(h).
5*(h - 80)*(h + 5)
Let r(v) be the first derivative of -v**3 + 1290*v**2 + 2583*v - 3521. Factor r(c).
-3*(c - 861)*(c + 1)
Factor -133 - 1/5*w + 1/5*w**3 + 133*w**2.
(w - 1)*(w + 1)*(w + 665)/5
Let f(w) be the first derivative of -16/3*w**3 + 33 - 20*w**2 + 0*w + 1/2*w**4. Suppose f(g) = 0. Calculate g.
-2, 0, 10
Let t be (18/16*-2)/((-5778)/5136). Determine d so that 1/3*d - 17/3*d**t + 17/3 - 1/3*d**3 = 0.
-17, -1, 1
Suppose -g = -2*y + 5, -8*g = 15*y - 19*y + 16. Suppose -21/4*s - 1/4*s**y + 11/2 = 0. What is s?
-22, 1
Let j(b) be the first derivative of b**5/15 + b**4/3 - 2*b**3 + 3*b**2 + 5*b + 22. Let t(a) be the second derivative of j(a). Factor t(w).
4*(w - 1)*(w + 3)
Find p, given that 14/3*p**2 + 0 - 4*p + 122/3*p**3 - 14/3*p**4 - 110/3*p**5 = 0.
-1, -2/5, 0, 3/11, 1
Let g(l) be the third derivative of l**6/40 - 8*l**5/5 - 149*l**4/8 + 90*l**3 - l**2 + 46*l + 1. Factor g(p).
3*(p - 36)*(p - 1)*(p + 5)
Let p = 19934 + -19931. Let a(t) be the first derivative of 1/5*t**2 - 1/20*t**4 + 6 + 0*t + 1/15*t**p. Determine k, given that a(k) = 0.
-1, 0, 2
Factor 192*q + 156*q**3 - 12*q**4 + 82 - 82 - 118*q**2 - 170*q**2 + 3*q**5 - 24*q**4.
3*q*(q - 4)**2*(q - 2)**2
Let t(j) be the third derivative of -j**6/360 + 31*j**4/18 - 40*j**3/3 - 2578*j**2. Suppose t(f) = 0. What is f?
-12, 2, 10
Let p(x) be the second derivative of 21/4*x**3 + 1/12*x**6 - 9/2*x**2 + 1 + 6*x - 7/40*x**5 - 43/24*x**4. Find s, given that p(s) = 0.
-3, 2/5, 1, 3
Let z(s) be the third derivative of -s**8/168 + 25*s**7/21 - 409*s**6/6 + 1153*s**5/3 - 11285*s**4/12 + 3721*s**3/3 + 533*s**2. Suppose z(o) = 0. What is o?
1, 61
Let f(h) = -h**2 - 4*h + 25. Let v be f(-7). Factor 12*d**3 + 8*d + 0*d**3 - 4*d**v + 20*d**2 + 0*d**4 - 2*d**5 - 2*d**5.
-4*d*(d - 2)*(d + 1)**3
Let -1/6*a**2 + 0 + 43/2*a = 0. Calculate a.
0, 129
Let x(h) be the second derivative of -h**5/100 - 7*h**4/40 - 6*h**3/5 + 24*h**2 - 50*h. Let g(s) be the first derivative of x(s). Factor g(f).
-3*(f + 3)*(f + 4)/5
Let r(c) = c + 27. Let a = -98 + 76. Let y be r(a). What is k in -2*k**2 + 8*k + 6*k**4 - 5*k + y*k**3 - 15*k**3 - 4 + 7*k = 0?
-1, 2/3, 1
Let g(v) be the third derivative of -v**7/3360 - 13*v**6/160 - 1521*v**5/160 - 59*v**4/12 - v**2 + 73*v. Let c(u) be the second derivative of g(u). Factor c(h).
-3*(h + 39)**2/4
Let l be (-60)/24*2/(-3 - (-26)/12). Let r(q) be the second derivative of 0*q**2 - 1/35*q**5 + 0*q**3 - 1/210*q**l + 0 + 0*q**4 - 34*q. Factor r(h).
-h**3*(h + 4)/7
Let 31232/3*l + 29768 + 2/3*l**3 + 494/3*l**2 = 0. Calculate l.
-122, -3
Let i(y) be the first derivative of y**4/6 + 58*y**3/3 - 94*y**2/3 - 352*y + 2280. What is j in i(j) = 0?
-88, -2, 3
Let n(c) be the third derivative of -c**5/60 + 13*c**4/24 + c**3/3 - 320*c**2. Let o be n(13). Determine y so that -7/2*y + 0 - 3*y**o + 1/2*y**3 = 0.
-1, 0, 7
Let d(t) be the first derivative of -16 + 0*t + 6*t**2 - 1/80*t**5 - 1/2*t**3 + 5/32*t**4. Let o(y) be the second derivative of d(y). Factor o(x).
-3*(x - 4)*(x - 1)/4
Let g(t) be the first derivative of 44*t - 20*t**2 - 16*t**3 + 10*t**4 + 4/5*t**5 + 110. Factor g(d).
4*(d - 1)**2*(d + 1)*(d + 11)
Let w(p) be the third derivative of 1/112*p**8 + 2/35*p**7 + 1/10*p**5 - p + 0*p**3 + 6*p**2 + 0*p**4 + 1/8*p**6 + 0. What is g in w(g) = 0?
-2, -1, 0
Let b(s) be the first derivative of 0*s**2 - 1/15*s**3 + 0*s + 55 + 1/10*s**4 - 1/25*s**5. Factor b(w).
-w**2*(w - 1)**2/5
Let m be (-138)/(-184)*(0 - 8/(-57)). Let g = -1768 - -33600/19. Factor g*r - m*r**3 - 2/19*r**2 + 8/19.
-2*(r - 2)*(r + 1)*(r + 2)/19
Let g be (12 - 3) + (-9 - 653). Let z = 655 + g. Suppose 6/13 - 10/13*m + 2/13*m**3 + 2/13*m**z = 0. Calculate m.
-3, 1
Suppose 4*c + 2*m = 4940, 5*c - 2*m - 3218 - 2957 = 0. Let q = -1233 + c. Factor -1/3 + 2/3*d - 1/3*d**q.
-(d - 1)**2/3
Let i(b) be the first derivative of -b**4/8 + 11*b**3/6 - 15*b**2/4 - 27*b/2 + 1016. Determine k so that i(k) = 0.
-1, 3, 9
Let v(u) = -2*u**2 - 20*u - 40. Let q be v(-7). Suppose 0 = 4*h - 10 - q. What is x in 2/3*x**h + 2/3*x**4 - 4 - 26/3*x - 14/3*x**2 = 0?
-2, -1, 3
Let 64*z + 140*z + 324*z**2 + 203*z + 25*z + 72*z**3 - 12*z**4 + 16*z**4 = 0. What is z?
-12, -3, 0
Determine z, given that 16/3*z**4 - 272/3*z - 128/3 + 22/3*z**3 - 140/3*z**2 - 2/3*z**5 = 0.
-2, -1, 4, 8
Let y be (-2 + (-27)/(-12))/(144/(-148656)). Let h = y + 778/3. Solve -h*g**3 + 15*g**2 + 80 - 60*g = 0.
4
Let q be (594/616)/(306/119). Determine c so that 15/8*c**2 - 3 + 3/4*c + q*c**3 = 0.
-4, -2, 1
Let o(s) be the first derivative of 4*s**5/45 + 11*s**4/18 - 74*s**3/27 + 8*s**2/3 - 845. Determine c, given that o(c) = 0.
-8, 0, 1, 3/2
Let l be (-1)/(((8 + -2)/6)/5). Let p(o) = 2 + 1 + 3*o**2 - 7*o**2 + o. Let k(b) = -9*b**2 + 3*b + 6. Let r(q) = l*p(q) + 3*k(q). Factor r(a).
-(a - 1)*(7*a + 3)
Let z(j) be the second derivative of -9*j - 1/30*j**5 - 1/9*j**4 - 4/3*j**2 + 7/9*j**3 - 1. Find q such that z(q) = 0.
-4, 1
Let q(c) be the first derivative of -2/15*c**3 + 9 + 1/100*c**5 + 1/30*c**4 + 0*c + 15/2*c**2. Let w(v) be the second derivative of q(v). Factor w(i).
(i + 2)*(3*i - 2)/5
Let w(o) = 4*o**2 + 2. Let f(k) = 25*k**2 - 181*k - 8. Let t(v) = -f(v) + 3*w(v). Factor t(b).
-(b - 14)*(13*b + 1)
Let q be (63/(-6))/((-120)/(-20)). Let v = q - -29/12. Find z, given that -z**2 - v*z - 1/3*z**3 + 0 = 0.
-2, -1, 0
Let s = 20127/8860 + -48/2215. Find l such that -13/4*l**4 + 1/4*l**2 + 0 + s*l**3 + 5/4*l**5 - 1/2*l = 0.
-2/5, 0, 1
Let r = -312 - -315. Solve 44*x + 65*x**2 - 12*x**r + 5*x**4 - 38*x**3 + 107 + 73 + 256*x = 0 for x.
-1, 6
Let w be (-2 + 80/35)/((-6)/(-63966)). Let 12*k**4 - 16*k**4 - 342*k**2 - 17576 + w*k - 1136*k**2 + 164*k**3 - 862*k**2 + 9798*k = 0. What is k?
2, 13
Let d(y) be the first derivative of -y**6/18 - 4*y**5/15 + 7*y**4/6 + 56*y**3/9 + 59*y**2/6 + 20*y/3 - 2989. Solve d(t) = 0.
-5, -1, 4
Let h be (-9)/15*(611/(-39) - -14) - -2. Find k, given that 97/7*k**2 + 11/7*k**4 - 96/7*k - 47/7*k**h + 36/7 - 1/7*k**5 = 0.
1, 2, 3
Suppose 2*h + 9*o = 6*o + 60, o + 4 = 0. What is s in -3*s**2 