2/7*u**3 + 2/7*u - 208/7 + 208/7*u**2.
-2*(u - 104)*(u - 1)*(u + 1)/7
Factor -99*f + 39 + 27*f - 4*f**2 - 222 - 41.
-4*(f + 4)*(f + 14)
Let l = 366914 - 366914. Let 2/3*d**4 - 2/3*d**3 + 2/3*d - 2/3*d**2 + l = 0. What is d?
-1, 0, 1
Suppose 0 = -7*f - 5 - 2. Let o(h) = -7*h - 4. Let l be o(f). Factor -3*i + i - 3*i**3 + 7*i - 2*i**l.
-5*i*(i - 1)*(i + 1)
Suppose -6912 - 1440*t + 69*t**2 - 3/4*t**3 = 0. What is t?
-4, 48
Let z(o) be the first derivative of -o**3/7 + 60*o**2/7 - 171*o + 89. What is t in z(t) = 0?
19, 21
Factor -2/9*c**3 + 208/9*c + 44/9*c**2 + 0.
-2*c*(c - 26)*(c + 4)/9
Solve -301467*k**2 + 634*k**3 + 0*k + 0 - 1/3*k**4 = 0 for k.
0, 951
Let r = -2 + 20. Let i = r - 11. Factor -8*k - i*k - 9 - 11*k**2 + 3*k**3 + 8*k**2.
3*(k - 3)*(k + 1)**2
Let u = 10978 - 10974. Let g(l) be the first derivative of 0*l - 1/38*l**u + 6/95*l**5 - 18 - 1/57*l**6 - 2/19*l**3 + 2/19*l**2. Let g(m) = 0. What is m?
-1, 0, 1, 2
Factor -69*w**2 - 14884 + 30238 - 3*w**3 - 14970 - 312*w.
-3*(w - 1)*(w + 8)*(w + 16)
Suppose -3*v + 9 = 0, -5*r - 10*v - 366 = -7*v. Let q be 15/(-12)*24/r. Determine k so that -4/5*k + 0 - q*k**3 - 6/5*k**2 = 0.
-2, -1, 0
Let i be ((-4845)/(-525) + -3 - 6)*(-7)/(-4). Let 2*r**2 + 0 + i*r**3 + 8/5*r = 0. What is r?
-4, -1, 0
Let q(k) = -k**3 - 11*k**2 - 17*k + 2. Let m be q(-2). Let 2/3*w + 1/6*w**3 + m - 2/3*w**2 = 0. What is w?
0, 2
Let a(k) be the second derivative of 0*k**3 + 15*k + 1/300*k**6 + 1/75*k**5 + 1/60*k**4 - 11/2*k**2 + 0. Let h(i) be the first derivative of a(i). Factor h(r).
2*r*(r + 1)**2/5
Find b, given that 67*b**3 - b - 96*b**3 + 40*b**2 + 30*b**3 - 40 = 0.
-40, -1, 1
Let j = -5399 + 5401. Let l(x) be the first derivative of 9 - 10*x**j + 5/3*x**3 + 20*x. Factor l(o).
5*(o - 2)**2
Suppose 0 = x - 2*v + 1358, 15*x - 10*x + 6769 = 3*v. Let b be (-6)/8*x/78 + -1. Factor 4/3*c**3 + 20/3*c**2 + 4*c - b.
4*(c - 1)*(c + 3)**2/3
Let p(y) = -13*y**4 - 22*y**3 - 185*y**2 - 216*y + 432. Let l(x) = 3*x**4 - x**3 - x**2. Let i(f) = -4*l(f) - p(f). Factor i(a).
(a - 1)*(a + 3)*(a + 12)**2
Let m(s) be the second derivative of s**6/30 + s**5/2 - 73*s**4/4 - 988*s**3/3 + 2366*s**2 + 4199*s. Suppose m(g) = 0. What is g?
-13, 2, 14
Suppose 46*a = 48*a + 2*n - 12, 5*a - n = 12. Factor -106*c**5 - 7*c**3 + 56*c**5 + 3*c**a + 54*c**5.
4*c**3*(c - 1)*(c + 1)
Suppose 165*h**2 - 679*h - 27*h**2 + 35*h**3 + 815*h - 33*h**3 = 0. Calculate h.
-68, -1, 0
Suppose 21 = -2*u + 6*u - 3*c, -u + 10 = 4*c. Suppose 0 = u*s - 2*s - 8. Factor -5*h + 16 - 7*h**s + 0*h**3 + 13*h + h**3.
(h - 4)**2*(h + 1)
Suppose 905*p + 13248 = 997*p. Let w = 163/240 + -1/80. Let -34/3*x**3 - 60*x**2 - w*x**4 + p - 72*x = 0. Calculate x.
-6, 1
Let c = -22/51 - -79/170. Let o(q) be the third derivative of 0*q - 1/1050*q**7 + 1/150*q**6 - 1/50*q**5 + 0 - 1/30*q**3 + c*q**4 + 12*q**2. Factor o(l).
-(l - 1)**4/5
Let u(n) = 3*n**3 - n**2 - 3*n + 1. Let v(m) = -8*m**3 - 20*m**2 + 8*m + 20. Let s(i) = 15*u(i) + 5*v(i). Factor s(c).
5*(c - 23)*(c - 1)*(c + 1)
Let o = -1 - -27. Factor -25*h**3 - 44 - 160*h - 33 + 103 + 410*h**2 - o.
-5*h*(h - 16)*(5*h - 2)
Let c(r) be the second derivative of r**5/60 - 25*r**4/6 - 1610*r. Factor c(p).
p**2*(p - 150)/3
Let o(h) be the first derivative of -20*h**2 - 21 - 4/3*h**3 - 84*h. Factor o(k).
-4*(k + 3)*(k + 7)
Let x(j) be the first derivative of -5*j**2/2 + 55*j + 209. Let i be x(11). Determine h so that -1/2*h**2 - 5/2*h**3 + i*h + 0 - 2*h**4 = 0.
-1, -1/4, 0
Let s(m) be the second derivative of -2*m - 1/84*m**4 + 1/6*m**3 - 38 - 5/7*m**2. Factor s(h).
-(h - 5)*(h - 2)/7
Let y(o) be the second derivative of 0 - 5/27*o**3 - 1/108*o**4 - 85*o + 4/3*o**2. Factor y(c).
-(c - 2)*(c + 12)/9
Let b(q) = q**2 - 90*q + 265. Let g be b(3). Suppose 2*u + 3*u - 5*s - 20 = 0, 6*s + g = u. What is a in u*a - 1/3*a**2 - 11/3 = 0?
1, 11
Suppose -19 = l - 11. Let r be (l/(-50))/((-24)/(-780)*13). What is t in 2/5 - 4/5*t + r*t**2 = 0?
1
Let f(a) = -45*a**2 - 2100*a + 2912. Let i be f(-48). Factor 2/3*t**2 - i - 44/3*t.
2*(t - 24)*(t + 2)/3
Solve 66*t**3 + 0*t + 0 + 30*t**4 + 0*t**2 - 3/2*t**5 = 0.
-2, 0, 22
Let o(s) be the second derivative of 27*s**6/70 + 243*s**5/20 + 4329*s**4/28 + 14365*s**3/14 + 26364*s**2/7 - 876*s. Suppose o(v) = 0. Calculate v.
-8, -13/3
Let r be ((-27)/4 - -6)*(6 + -2). Let n be (-12)/r - 0 - 2. Determine l so that -2/5*l**3 - 4/5 - 8/5*l**2 - n*l = 0.
-2, -1
Let b(y) be the first derivative of y**6/360 + y**5/60 - y**4/3 - 30*y**3 + 2*y + 193. Let o(j) be the third derivative of b(j). Let o(i) = 0. What is i?
-4, 2
Let k be (1705/4092)/((-9)/(-252)). Factor k*x**3 + 0 + 5*x + 10/3*x**4 + 40/3*x**2.
5*x*(x + 1)**2*(2*x + 3)/3
Let w = -648 + 630. Let m be w/(-99) + (-186)/(-66). Let 0 - 160/3*t + 5/3*t**5 - 10/3*t**4 + 200/3*t**2 - 20*t**m = 0. What is t?
-4, 0, 2
Let k(u) be the first derivative of u**3/3 + 83*u**2/2 - 1584*u - 10407. Determine w so that k(w) = 0.
-99, 16
Let l(p) = -28*p**2 + 68*p - 24. Suppose 6*z - 8 = 88. Let r(q) = q**2 + q - 1. Let j(y) = z*r(y) - l(y). Factor j(o).
4*(o - 1)*(11*o - 2)
Let g(s) be the third derivative of -s + 8/135*s**5 - 1/540*s**6 + 0 + 17/108*s**4 + 0*s**3 + 2*s**2. Solve g(k) = 0.
-1, 0, 17
Let i(s) be the third derivative of -s**7/8820 - 13*s**6/2520 + s**5/30 + 37*s**4/24 + s**3/2 + 23*s**2. Let l(h) be the second derivative of i(h). Factor l(n).
-2*(n - 1)*(n + 14)/7
Let j(t) be the second derivative of -t**7/63 - 2*t**6/15 + 17*t**5/10 + 122*t**4/9 + 28*t**3 - 2256*t. Solve j(v) = 0.
-9, -2, 0, 7
Let i(a) be the first derivative of -13*a**4/5 + 196*a**3/15 + 154*a**2/5 + 12*a + 2618. Let i(v) = 0. What is v?
-1, -3/13, 5
Solve -580*c**2 - 3090*c - 112*c - 2075 - 433*c + 5*c**3 - 2297 + 1322 = 0.
-5, -1, 122
Let n(l) be the first derivative of -25*l**2 - 45*l - 1. Let i(b) = -15839 - 19*b + b**2 + 15883 + 68*b. Let y(d) = -5*i(d) - 4*n(d). Find j such that y(j) = 0.
-8, -1
Let i(h) be the second derivative of -h**4/12 + 79*h**3/6 - 150*h**2 + 1208*h. Determine b so that i(b) = 0.
4, 75
Let c = 414 + -220. Suppose 0 = -4*i - 3*d + 2*d + 7, -10 = -4*i + 2*d. Solve -f**i + c*f - 10 - 4*f**2 - 179*f = 0.
1, 2
Let n(f) be the first derivative of -32/13*f - 75 + 16/39*f**3 - 16/13*f**2 + 8/13*f**4 + 14/65*f**5 + 1/39*f**6. Let n(l) = 0. Calculate l.
-2, 1
Suppose -18*d = -19*d - 12. Let l = 15 + d. Factor 17 + 50*k + 25*k + 60*k**2 - 20*k**3 + l.
-5*(k - 4)*(2*k + 1)**2
Let r(p) be the first derivative of 5*p**4/16 + 17*p**3/6 + 29*p**2/8 + 1725. Determine x, given that r(x) = 0.
-29/5, -1, 0
Suppose -3/2*d**3 + 78*d - 144 + 0*d**2 = 0. What is d?
-8, 2, 6
Let l(f) be the second derivative of -f**5/140 - 11*f**4/21 - 125*f**3/42 - 41*f**2/7 + 2953*f. Suppose l(j) = 0. Calculate j.
-41, -2, -1
Suppose -223 = -16*t + 417. Suppose t*g**2 + 10*g - 174*g**4 - 30*g + 295*g**3 - 141*g**4 = 0. What is g?
-2/7, 0, 2/9, 1
Suppose -1673*g**3 - 3*g**4 + 503*g**3 - 2331*g**2 + 4 - 1164*g - 4 = 0. What is g?
-388, -1, 0
Let o(n) be the third derivative of -n**5/180 - 355*n**4/72 + 178*n**3/9 + 4339*n**2. Factor o(m).
-(m - 1)*(m + 356)/3
Let r(w) be the second derivative of 0 + 0*w**2 - 76*w + 4*w**3 + 1/6*w**4. Suppose r(x) = 0. What is x?
-12, 0
Suppose 0 - 28/9*v**2 + 16/3*v - 22/9*v**3 + 2/9*v**4 = 0. What is v?
-2, 0, 1, 12
Let g be 27837/(-120) + (-36)/(-96). Let l = -231 - g. Determine y so that -l*y**2 - 3/5*y + 6/5 = 0.
-2, 1
Let l be 300/(-32 + 22)*-4*2/50. Solve 3/5*d**3 + 0 + l*d**4 - 24/5*d**2 - 3/5*d**5 + 0*d = 0 for d.
-1, 0, 1, 8
Let 1/3*f**2 - 62*f + 2883 = 0. Calculate f.
93
Suppose -10*m = -16*m + 12. Find o, given that 12*o**3 - 3*o**m + 0*o - 6*o**3 - 6*o + 3*o**4 = 0.
-2, -1, 0, 1
Factor -2/23*h**2 + 656/23 + 156/23*h.
-2*(h - 82)*(h + 4)/23
Let n be 48/192 - (-22)/8. Factor 1719*c**3 + 0*c**4 + 5*c**4 - 1719*c**n.
5*c**4
Factor 9*v**2 - 1720*v**5 + v**2 + 863*v**5 + 930*v**4 + 862*v**5 - 940 + 1875*v - 1880*v**3.
5*(v - 1)**3*(v + 1)*(v + 188)
Suppose -399*n + 1966 + 1614 = -11. Let s(t) be the first derivative of -4*t**2 - 3 + n*t - 1/3*t**3. Factor s(y).
-(y - 1)*(y + 9)
Let j be (-576)/(-112) + 3/(-21). Determine k so that 2 + 4*k - 370*k**5 + 374*k**j - 2*k**4 - 4 + 4*k**2 - 8*k**3 = 0.
-1, 1/2, 1
Let v(g) be the third derivative of g**6/120 + 847*g**5/300 + 169*g*