l**7 - 1/5*l**6 + 1/2*l**3 - 3*l - 1 + 0*l**2 + 1/2*l**4 + 0*l**5. Suppose j(q) = 0. Calculate q.
-1, 0, 1
Let l be ((-14)/(-22))/((-6)/(-66)). Suppose 0 = 2*p - g - 11, -4*p + l*p - g - 15 = 0. Solve 0*n + 0 + 3/2*n**2 + 3/4*n**p + 9/4*n**3 = 0.
-2, -1, 0
Let g be (20/(-95))/(18272/(-608) - -30). Determine z, given that -8/13*z**3 - 2/13*z**g + 2/13*z**2 + 24/13 + 32/13*z = 0.
-3, -2, -1, 2
Let n(u) = u**2 + 106*u + 3130. Let s(b) = -46*b - 32*b - 3131 - 49*b - 29*b - b**2 + 49*b. Let x(j) = 5*n(j) + 6*s(j). Determine c so that x(c) = 0.
-56
Let x = -5899 - -5904. Let j(t) be the third derivative of -1/60*t**4 + 0 + 0*t + 3*t**2 - 1/150*t**x + 1/15*t**3 + 1/300*t**6. Factor j(v).
2*(v - 1)**2*(v + 1)/5
Solve -25796/3*q**3 - 7/3*q**5 + 8294/3*q**2 + 8601*q - 284*q**4 - 7442/3 = 0.
-61, -1, 2/7, 1
Let q be (-35559)/(-1539) + (5 - 28) + (-30)/(-76). Factor 0 + q*z**2 + 5/2*z**3 + z**4 - z.
z*(z + 1)*(z + 2)*(2*z - 1)/2
Let v(z) be the third derivative of 0*z**3 + 1/1020*z**6 - 1/204*z**4 + 88*z**2 + 0*z**5 + 0*z + 0. Determine o, given that v(o) = 0.
-1, 0, 1
Let c be (14/(-77) + (-1096)/22)/(-2). Factor 34*t**4 + 72*t - 66*t**2 - t**3 - 27 + c*t**3 - 37*t**4.
-3*(t - 3)**2*(t - 1)**2
Suppose -5*h - 2*b + 19 = 13, 5*h = 5*b + 20. What is m in -2*m**4 + 24*m**3 - h*m**5 - 231*m**2 - 4*m - 6*m**5 + 221*m**2 = 0?
-2, -1/4, 0, 1
Let i(s) be the second derivative of -s**6/3 - 553*s**5/30 - 4771*s**4/18 + 6061*s**3/9 - 722*s**2/3 + 370*s - 1. Determine u so that i(u) = 0.
-19, 2/15, 1
Factor 1/2*q**2 - 275/2 + 137*q.
(q - 1)*(q + 275)/2
Let c be (-56 + -4)/(-10) - 3*1. Solve 6*t**c + 6 + 9*t**2 - 15*t - 3*t**4 - 9*t**3 + 6*t**3 = 0.
-2, 1
Let c be 26/10 + (21 + -47 - (-762)/30). Factor -1/2*v**c - 34*v - 578.
-(v + 34)**2/2
Let x(i) be the third derivative of -7*i**2 + 0*i**4 + 0*i + 7/24*i**6 + 5/336*i**8 + 5/42*i**7 - 3 + 0*i**3 + 1/4*i**5. Determine g so that x(g) = 0.
-3, -1, 0
Let 356*f**2 - 678*f**2 - 804*f + 326*f**2 - 808 = 0. What is f?
-1, 202
Let n = -518801 + 518801. Suppose -3/4*a**4 + 0*a + 0*a**2 + n - 1/4*a**5 - 1/2*a**3 = 0. What is a?
-2, -1, 0
Suppose 3*h - 2*h - 80 = -4*v, -5*v - 325 = -5*h. Let w = 72 - h. Suppose w*z**2 + z - z**3 + 4*z**3 - 5*z**3 - 3*z = 0. What is z?
0, 1
Let m(q) = q**2 - 4*q - 172. Let h be m(-12). Let g be (72/(-81))/(-4 - h/(-6)). Find x, given that -g*x**3 + 0*x - 8/9*x**2 + 0*x**4 + 0 + 4/9*x**5 = 0.
-1, 0, 2
Let f(u) be the first derivative of 7*u**6/3 - 54*u**5/5 + 43*u**4/7 + 108*u**3/7 - 135*u**2/7 + 54*u/7 + 2620. Determine v, given that f(v) = 0.
-1, 3/7, 1, 3
Let t be (-1660)/35*(-6)/(-12). Let d = t - -505/21. Factor d*a**2 + 4/3*a + 4/3.
(a + 2)**2/3
Let t(q) be the first derivative of 2*q**3/21 + 107*q**2/7 + 2112*q/7 + 4487. Determine b, given that t(b) = 0.
-96, -11
Suppose 4*z - 8*k = -11*k - 1, -2*z - 11 = 5*k. Factor 0*x + 0*x**z + 1/2*x**5 + 7/2*x**3 + 4*x**4 + 0.
x**3*(x + 1)*(x + 7)/2
Determine j so that 77/2*j**2 - 111/4*j**3 - 27/8*j**5 + 121/8*j - 45/2*j**4 + 0 = 0.
-11/3, -1/3, 0, 1
Let r(l) = 5 - 3*l - 10 - 18 + 5. Let q be r(-7). Factor 4/5*f**4 - 20*f**q + 864/5*f**2 - 2816/5*f + 2048/5.
4*(f - 8)**3*(f - 1)/5
Let m(x) be the first derivative of -x**6/39 - 54*x**5/65 - 23*x**4/26 + 158*x**3/39 + 24*x**2/13 - 8*x - 449. What is c in m(c) = 0?
-26, -2, -1, 1
Solve -215*r**2 + 0 - 160/3*r - 5*r**4 - 500/3*r**3 = 0 for r.
-32, -1, -1/3, 0
Let o(f) = -f**3 - 139*f**2 + 1342*f + 1482. Let j be o(-148). Find s, given that 0*s + 0 - 2/13*s**j = 0.
0
Factor -218/7*s + 0 + 216/7*s**2 + 2/7*s**3.
2*s*(s - 1)*(s + 109)/7
Let i = -237976 - -1665834/7. Let k be (2/(-3))/(3/(-9)). Factor -i*o**k + 12/7 + 2/7*o.
-2*(o - 3)*(o + 2)/7
Let o(g) be the first derivative of -21*g**4 - 105*g**3 + 48*g**5 - 44 + 40*g**2 + g**4 - 23*g**5 - 26*g**5 + 320*g. Factor o(h).
-5*(h - 1)*(h + 1)*(h + 8)**2
Let x = -1260929/30 - -42031. Let k(f) be the first derivative of -1/25*f**5 - 1/5*f - 13 + 2/15*f**3 + 1/10*f**4 - 1/10*f**2 - x*f**6. Factor k(i).
-(i - 1)**2*(i + 1)**3/5
Let x(r) = -10387*r - 186964. Let o be x(-18). Let -1/4*y**o + 3 + 11/4*y = 0. Calculate y.
-1, 12
Let f(j) = -3*j + 5. Let o be f(1). Factor 44*b**3 + 5*b**o - 15*b - 25*b**2 - 104*b**3 - 30*b**2 - 30*b**4 - 5*b**5.
-5*b*(b + 1)**3*(b + 3)
Suppose 64 = -3*v + 5*f, -4*v + 310*f = 311*f - 22. Find k such that -92/7*k + 1058/7 + 2/7*k**v = 0.
23
Suppose 0 = 2*i - 7*w + 150, -80 = -5348*i + 5352*i - 4*w. Suppose 0 - 7/4*r**2 + 1/4*r**3 - i*r = 0. Calculate r.
-1, 0, 8
Let h(r) be the second derivative of 1/30*r**4 + 0 - 1/10*r**3 - 45/2*r**2 - 1/300*r**5 - 23*r. Let g(m) be the first derivative of h(m). Factor g(d).
-(d - 3)*(d - 1)/5
Factor 11/6*j**2 + 85/6 - 97/6*j + 1/6*j**3.
(j - 5)*(j - 1)*(j + 17)/6
Suppose 16437*q - 16427*q = 0. Let w(p) be the second derivative of 27*p + 35/2*p**3 + 3/20*p**5 + q - 147/2*p**2 + 13/4*p**4. Factor w(i).
3*(i - 1)*(i + 7)**2
What is s in -8022*s**5 + 672 + 8010*s**5 + 3876*s + 1266*s**3 + 7170*s**2 - 2061*s**2 - 651*s**4 = 0?
-56, -1, -1/4, 4
Let r(q) be the first derivative of 0*q + 8/7*q**3 - 1/14*q**4 - 236 + 13/7*q**2. Solve r(x) = 0.
-1, 0, 13
Let d = -650 + 215. Let f = d - -435. Factor -4/11*h**2 - 18/11*h**3 + 0*h + f.
-2*h**2*(9*h + 2)/11
Factor b**3 + b**5 + 592*b**4 + 606*b**4 - 1196*b**4.
b**3*(b + 1)**2
Let b(s) be the third derivative of -s**6/12 + 101*s**5/60 - 65*s**4/6 + 25*s**3/6 + 336*s**2 - 1. Factor b(z).
-(z - 5)**2*(10*z - 1)
Let g = 648022 - 648022. Suppose 3/7*v**4 + g*v + 0*v**2 + 0*v**3 + 0 = 0. Calculate v.
0
Let c(a) be the first derivative of 2 + 0*a**2 - 18*a + a**3 - 1/4*a**4. Let q(m) be the first derivative of c(m). Find z, given that q(z) = 0.
0, 2
Determine h, given that -132*h**3 + 104*h**3 + 22*h**4 + 4*h**5 + 16*h**2 - 8*h**4 - 6*h**4 = 0.
-4, 0, 1
Let g(n) be the second derivative of -770*n**4/39 - 207*n**3/13 - 2*n**2/13 - 2657*n. Factor g(b).
-2*(5*b + 2)*(308*b + 1)/13
Let l(k) = 8027*k + 48165. Let d be l(-6). Determine t so that -8/5 + 2/15*t**d + 0*t**2 - 26/15*t = 0.
-3, -1, 4
Let q(w) be the first derivative of -8/3*w**3 + w**4 - 2*w**2 + 8*w + 35. What is g in q(g) = 0?
-1, 1, 2
Suppose 15*t = t - 41*t + 1595. Let b(g) be the second derivative of 0*g**2 - 11/6*g**4 + t*g + 2/5*g**5 - g**3 + 0. Suppose b(j) = 0. What is j?
-1/4, 0, 3
Let r(k) be the first derivative of -k**4/28 - 19*k**3/21 - 9*k**2/2 - 45*k/7 - 2855. Determine q so that r(q) = 0.
-15, -3, -1
Suppose 5025*h + 4927*h - 10339*h = -1548. Factor -5*q**h + 840*q + 1/6*q**5 - 950/3*q**2 + 115/2*q**3 - 864.
(q - 9)**2*(q - 4)**3/6
Let w = -242493 - -242496. Determine f so that 1/2*f**w + 1/4*f**5 - 3/2*f**4 - 5/2 + 4*f**2 - 3/4*f = 0.
-1, 1, 2, 5
Let v be (-1910)/1528*(-3*5)/(12/40). Let l(w) = -w**2 + 3*w. Let i be l(2). Factor 0 + 25*z**i - v*z - 5/2*z**3.
-5*z*(z - 5)**2/2
Factor 1339*t**2 + 1336*t**2 + 330*t + 1340*t**2 - 4012*t**2.
3*t*(t + 110)
Let n(x) = 3*x**2 + 227*x + 239. Let y(p) = -p**2 - 115*p - 120. Let d(v) = 2*n(v) + 5*y(v). Factor d(o).
(o - 122)*(o + 1)
Let m be 22/(-77) - (-2)/7. Let y(w) = w**2 - w + 3. Let o be y(m). Factor -o*x**3 + 3*x - 5*x**2 - 152*x**4 + 0*x**3 + 4*x**5 + 157*x**4 - 4*x.
x*(x - 1)*(x + 1)**2*(4*x + 1)
Factor 328*u - 83*u**2 - 980/3 + 1/3*u**3.
(u - 245)*(u - 2)**2/3
Let g(n) = n**3 - 8*n**2 + 26*n - 131. Let k be g(7). Let a(r) be the third derivative of r**k - r**3 + 0 + 7/8*r**4 - 3/20*r**5 + 0*r. Factor a(b).
-3*(b - 2)*(3*b - 1)
Suppose 15*t - 111 + 36 = 0. Suppose 2707*f**2 + f**t - 2707*f**2 - 2*f**4 = 0. Calculate f.
0, 2
Let x(f) be the third derivative of -f**5/75 + f**4/6 - 8*f**3/15 - 8*f**2 - 39*f. Factor x(n).
-4*(n - 4)*(n - 1)/5
Let j(s) be the second derivative of s**4/12 - s**2/2 + 11*s. Let a(f) = 5*f**3 + 50*f**2 + 240*f + 330. Let n(y) = -a(y) - 10*j(y). Factor n(r).
-5*(r + 4)**3
Find x, given that -20*x + 2/19*x**2 + 950 = 0.
95
Suppose 30 = -0*y + 5*y. Let q = 15 - -4. Determine d, given that -4*d**4 + 2*d + 4*d**2 + 4*d**3 + q - y*d - 19 = 0.
-1, 0, 1
Suppose 0 = 68*b - 3882 + 3542. Let r(f) be the third derivative of -125/3*f**3 + 1/480*f**6 - 25*f**2 - 1/8*f**b + 0*f + 25/8*f**4 + 0. Factor r(y).
(y - 10)**3/4
Let y = -3679694/187 + 216538/11. Suppose 0*v - 2/17*v**4 - 2178/17*v**2 + y*v**3 + 0 = 0. What is v?
0, 33
Factor 