hat is d in 3256/7*d**2 - 4608/7 + 38784/7*d + 68/7*d**3 = 0?
-24, 2/17
Find o such that 207*o**2 + 25*o**3 - 48 - 80*o + 189*o**2 + 47*o**3 - 144*o = 0.
-6, -1/6, 2/3
Let j be (0 - -1)*8*(-18)/(-48). Let -4*i**2 + 48 + 16*i**j - 40*i**4 - 11*i**3 + 15*i**3 - 68*i + 44*i**4 = 0. What is i?
-4, -3, 1
Let x(i) be the third derivative of -i**6/240 - i**5/20 + 35*i**4/16 - 49*i**3/6 - 4*i**2 - 2*i - 406. Factor x(t).
-(t - 7)*(t - 1)*(t + 14)/2
Suppose 0 = -16*q + 36*q - 40. Factor 125*n + 12*n**2 + 4*n**2 + n**2 - 34*n**2 + 2*n**q.
-5*n*(3*n - 25)
Determine m so that -91/2*m + 85/4*m**2 + 2 + 89/4*m**3 = 0.
-2, 4/89, 1
Determine g so that 1/4*g**5 - 7/2*g**4 + 0 + 0*g + 7/2*g**2 - 1/4*g**3 = 0.
-1, 0, 1, 14
Factor 1263/2*g + 3/2*g**2 + 630.
3*(g + 1)*(g + 420)/2
Let h be (9 - (-390)/(-40)) + (-65)/(-60). Factor -r + 0 - 4/3*r**2 - h*r**3.
-r*(r + 1)*(r + 3)/3
Let p(x) be the third derivative of x**6/960 + 13*x**5/160 - x**4/192 - 13*x**3/16 + 135*x**2 - 7*x. Determine d so that p(d) = 0.
-39, -1, 1
Let x(f) = f**2 - 7*f - 12. Let r be x(-2). Suppose r*w - 3 = 9. What is h in -140*h**2 - 2 + 3 + 139*h**w = 0?
-1, 1
Let p(o) = -32*o - 123. Let t be p(-13). Let c = t + -290. Factor 4/5*s**2 + 12/5*s**c + 0 - 12/5*s - 4/5*s**4.
-4*s*(s - 3)*(s - 1)*(s + 1)/5
Let q(n) be the first derivative of -4*n**5/5 + 157*n**4/2 - 154*n**3/3 - 78*n**2 - 3102. Suppose q(l) = 0. What is l?
-1/2, 0, 1, 78
Factor -21903/5*y**2 - 1/5*y**4 - 22201/5*y + 0 + 297/5*y**3.
-y*(y - 149)**2*(y + 1)/5
Suppose -3*c + 12 = 7*u - 14*u, -3*u = -2*c + 8. Factor -1/3*p**3 + 1/3*p**5 + u + 0*p + p**4 - p**2.
p**2*(p - 1)*(p + 1)*(p + 3)/3
Let o(f) be the first derivative of f**6/10 - 3*f**5/10 - 7*f**4/4 + 10*f**3 - 18*f**2 - 169*f + 86. Let a(p) be the first derivative of o(p). Factor a(w).
3*(w - 2)**2*(w - 1)*(w + 3)
Let m(j) be the third derivative of -j**6/90 + 11*j**5/30 + 2*j**4 - 17*j**3/6 - j**2 - 20*j. Let w(a) be the first derivative of m(a). Factor w(l).
-4*(l - 12)*(l + 1)
Let i(o) be the third derivative of 5/24*o**4 + 189*o**2 - 5*o**3 - 1/24*o**6 + o + 0 + 1/2*o**5. Let i(x) = 0. Calculate x.
-1, 1, 6
Determine a so that -8053*a - 119*a**2 + 8*a**5 - 266*a**4 - 486*a**3 + 8123*a - 23*a**2 = 0.
-1, 0, 1/4, 35
Let p(a) be the first derivative of -a**6/9 + 6*a**5/5 + 13*a**4/6 - 50*a**3/9 - 16*a**2 - 40*a/3 - 1602. Solve p(y) = 0.
-1, 2, 10
Factor -68*n**2 + 12994/5*n + 2/5*n**3 + 126736/5.
2*(n - 89)**2*(n + 8)/5
Let d(z) = 29*z**3 + 66*z**2 - 246*z + 224. Let q(w) = 5*w**3 + w**2 - 3*w. Let x(s) = -d(s) + 6*q(s). Find b, given that x(b) = 0.
2, 56
Let s(i) be the first derivative of -i**4/3 + 4*i**3/3 + 6*i + 22. Let p(x) be the first derivative of s(x). Let p(y) = 0. What is y?
0, 2
Let j be 2/6 + (-344)/(-12) + 2. Let f = j + -25. Factor 40*g**3 + 4*g - 76*g**3 + f*g**2 + 38*g**3.
2*g*(g + 1)*(g + 2)
Let m(n) be the first derivative of n**4/78 - 7*n**3/13 + 96*n - 65. Let v(l) be the first derivative of m(l). Factor v(j).
2*j*(j - 21)/13
Suppose -1348 = 30*l - 132*l - 235*l. Factor 2*x - 3/2*x**3 + 1/4*x**l + 1/4*x**5 + 0 - x**2.
x*(x - 2)*(x - 1)*(x + 2)**2/4
Suppose 17*l = 14*l - 9. Let m be 12/(-21)*l/((-12)/(-28)). Let 7/6*r**3 - 1/6*r**m + 0 - 11/6*r**2 + 5/6*r = 0. Calculate r.
0, 1, 5
Determine d so that -4/5*d**2 + 984/5 + 484/5*d = 0.
-2, 123
Let q(s) be the first derivative of -s**6/360 - s**5/3 - 50*s**4/3 - 82*s**3/3 + 148. Let b(a) be the third derivative of q(a). Factor b(d).
-(d + 20)**2
Let h(f) be the first derivative of -f**4/3 + 16*f**3/3 - 63*f - 84. Let q(y) be the first derivative of h(y). Factor q(t).
-4*t*(t - 8)
Let h(d) be the first derivative of 0*d - 2/5*d**5 + 11/2*d**4 + 215 + 25*d**2 - 70/3*d**3. Factor h(q).
-2*q*(q - 5)**2*(q - 1)
Let b = -826/13 + 8141/78. Let a be (-3*2 - (-2613)/468)/(13/(-104)). Determine d, given that -70/3*d**4 - 75/2*d**3 + 70/3*d**2 - a*d + b*d**5 + 0 = 0.
-1, 0, 2/7, 1
Suppose 2*q - 38 = -3*i, 4*q - 1 = 2*i - 5. Suppose 16 = i*m - 2*m. Determine x so that -m*x - 6*x + 8 + 0*x**2 + 2*x**2 + 0*x**2 = 0.
2
Let j be 46/8*(-14978070)/(-168705). Factor 0 + 62*x**4 - 225/2*x + 465*x**2 - 2*x**5 - j*x**3.
-x*(x - 15)**2*(2*x - 1)**2/2
Suppose 5*u + 15 = 8*u. Suppose 20 = s - 2*n, 70 = 5*s - u*n + n. Factor -13*b**4 + 41*b**4 - 61*b**3 + 32*b**2 + 6*b - 15*b**3 + s*b.
4*b*(b - 2)*(b - 1)*(7*b + 2)
Let k(x) be the first derivative of -x**3/15 + 3*x**2/10 + 108*x/5 + 992. Factor k(z).
-(z - 12)*(z + 9)/5
Let v be (1320/180)/((-4)/(-6)). Let u(t) = -16*t**2 + 22*t + 56. Let l(q) = -3*q**2 + 4*q + 11. Let h(j) = v*l(j) - 2*u(j). Let h(f) = 0. What is f?
-3, 3
Let f(r) = -2*r**3 - 34*r**2 - 49*r + 492. Let k be f(-14). Find m such that -5 + 1/7*m**3 - 69/7*m - 33/7*m**k = 0.
-1, 35
Let f(x) be the first derivative of -x**5/3 + 10925*x**4/6 - 7949755*x**3/3 - 23882050*x**2/3 - 23892980*x/3 - 41. Let f(j) = 0. Calculate j.
-1, 2186
Let c(y) be the third derivative of y**6/40 + 43*y**5/10 + 399*y**4/8 - 243*y**3 + 3958*y**2. Factor c(j).
3*(j - 1)*(j + 6)*(j + 81)
Let o = 30 + -27. Factor 26*p - 3*p**2 + 45 + 19*p - o*p.
-3*(p - 15)*(p + 1)
Suppose -99*o + 98*o + 5*l + 30 = 0, 3*o = -l - 6. Find q, given that 3*q**2 + 3/5*q**5 + o*q + 0 - 27/5*q**3 + 9/5*q**4 = 0.
-5, 0, 1
Let k = 1587825/13 - 122139. Find g such that 0 - 40/13*g - 2/13*g**4 - 48/13*g**2 - k*g**3 = 0.
-5, -2, 0
Let g be (-4)/(-4) + -3 - 196. Let u = g + 201. Factor 5/3*b**u + 0 + 5/3*b**2 + 0*b.
5*b**2*(b + 1)/3
Let t(f) = 12*f**3 - 83*f**2 + 435*f - 343. Let r(h) = 25*h**3 - 165*h**2 + 870*h - 685. Let i(y) = 7*r(y) - 15*t(y). Let i(s) = 0. What is s?
1, 7, 10
Let p(g) be the first derivative of 25/2*g**2 + 7*g**5 + 57 + 10*g - 15*g**3 - 25/4*g**4. Factor p(t).
5*(t - 1)**2*(t + 1)*(7*t + 2)
Determine p, given that 0*p + 0 - 2/3*p**4 + 2/3*p**5 + 2/3*p**2 - 2/3*p**3 = 0.
-1, 0, 1
Factor 1058/5*p + 1059/5 - 1/5*p**2.
-(p - 1059)*(p + 1)/5
Let h = -17 + -60. Let q = 79 + h. Factor -11*m + 8*m**2 - 2*m**q + 8*m + 3*m**5 - 6*m**4.
3*m*(m - 1)**3*(m + 1)
Let w(g) be the second derivative of -g**5/20 - 5*g**4/8 - 3*g**3 - 10*g**2 - 8*g + 2. Let i(o) be the first derivative of w(o). Let i(m) = 0. What is m?
-3, -2
Let b be (-1 + (-33)/(-33))/(1 - 2). Let h(o) be the second derivative of 1/2*o**5 + 0*o**2 - 4/3*o**4 + b + o**3 + 25*o. Factor h(f).
2*f*(f - 1)*(5*f - 3)
Let y(n) be the second derivative of -5/3*n**3 - 75/2*n**2 + 5/12*n**4 - 3 - 2*n. Factor y(w).
5*(w - 5)*(w + 3)
Let n be (-92)/(-161)*140*(-7)/(-168). Factor -2/3*y**2 - 2 + n*y - 2/3*y**3.
-2*(y - 1)**2*(y + 3)/3
Suppose v - 5*c = 3, -2*v - 5*c + 6 = -2*c. Suppose 89*i + 53*i = 0. Factor i + 3/4*h**v - 3/4*h**2 + 0*h.
3*h**2*(h - 1)/4
Suppose 31*q - 84 = 10*q. Suppose 2*v = q*v + 6*v. Find p, given that v + 0*p - 162/5*p**2 + 36/5*p**3 - 2/5*p**4 = 0.
0, 9
Let v(m) be the third derivative of -m**8/504 + 5*m**7/63 - 83*m**6/180 - 889*m**5/90 - 140*m**4/3 - 100*m**3 + 172*m**2 - m. Determine t, given that v(t) = 0.
-2, -1, 15
Suppose 3*b = 5*l + 63, 19*l - 14*l = 2*b - 42. Let u(a) be the first derivative of -1/9*a**4 + 1/3*a**3 - 1/9*a**2 + 0*a - b. Let u(x) = 0. What is x?
0, 1/4, 2
Let n(g) be the first derivative of g**6/60 + 11*g**5/75 - 13*g**4/15 - 8*g**3/5 + 29*g**2/2 - 170. Let z(x) be the second derivative of n(x). Factor z(h).
2*(h - 2)*(h + 6)*(5*h + 2)/5
Suppose 19*s - 453*s + 5208 = 0. Let x(d) be the first derivative of 8*d - 16/5*d**5 - 22*d**2 + 16*d**3 + d**4 + s. Determine a, given that x(a) = 0.
-2, 1/4, 1
Suppose 15*r = 63 + 72. Suppose -34*q = -33*q - r. Factor -10 + q*b**2 + 10*b - 8*b**2 - 7*b.
(b - 2)*(b + 5)
Let o(c) = 11*c - 54. Let a be o(6). Let k be (-52)/(-10) - 9/(270/a). What is d in -48/5 + k*d - 3/5*d**2 = 0?
4
Suppose -2/3*s**4 - 16*s**3 + 52/3*s**2 + 16*s - 50/3 = 0. What is s?
-25, -1, 1
Let p = 1320 - 2206. Let o = p - -888. Factor 3/2*t + 1 + 0*t**o - 1/2*t**3.
-(t - 2)*(t + 1)**2/2
Factor 33*g**3 + 36*g**4 - 324*g + 71 - 116*g**3 + 410*g**2 - 76*g**3 + 49 - 80*g**2 - 3*g**5.
-3*(g - 5)*(g - 2)**3*(g - 1)
Let u(q) = 0*q + 18*q**3 - 7*q - 19*q**3 + 4*q - 2*q - 19 + q**2. Let g(c) = c**3 - c**2 + 4. Let y(v) = -6*g(v) - u(v). Factor y(d).
-5*(d - 1)**2*(d + 1)
Let v(r) be the first derivative of r**6/4 + 9*r**5/5 - 21*r**4/2 - 3*r**3 + 81*r**2/4 + 601. Solve