n = 0.
-1, 0
Suppose 34*f = -4*f + 456. Suppose -f*n = -9 - 15. Find a, given that -6/7*a - 2/7*a**n + 8/7 = 0.
-4, 1
Let j(b) be the third derivative of b**6/20 - 2*b**5/3 + 29*b**4/12 + 4*b**3 + 4*b**2 + 79*b. Solve j(h) = 0 for h.
-1/3, 3, 4
Let f be 3 + 1825/(-21) - (-4)/(-6). Let q = -2333/28 - f. Factor 2*h + 1 - q*h**3 - 7/4*h**2.
-(h - 1)*(h + 2)*(5*h + 2)/4
Let c(p) = 13*p + 120. Let i be c(-9). Find b, given that -16*b + b**i - 8*b + 32*b**2 - 63*b**2 - 21*b**3 - 37*b**2 = 0.
-3, -2/5, 0
Let f(u) = 10*u - 28*u - u**2 + 3*u. Let j(s) = s**2 + 7*s. Let y = -23 - -30. Let z(g) = y*j(g) + 3*f(g). Suppose z(n) = 0. Calculate n.
-1, 0
Let r = 197 - 193. Determine f so that 4*f**3 - 367 + f**r + 367 = 0.
-4, 0
Let q(k) = 2*k**3 - k**2 + 3*k. Let w(r) = 5*r**4 + 2*r**3 - 41*r**2 - 102*r. Let l(y) = 4*q(y) + w(y). Let l(p) = 0. Calculate p.
-3, -2, 0, 3
Suppose 16 = 2*u + 40. Let d be u*(104/64)/(-13). Find z, given that -3/8*z**3 - 15/8*z - d*z**2 - 3/4 = 0.
-2, -1
Suppose q = 6*g - 11*g - 42, g + 5*q - 6 = 0. Let t be (-12)/g - 312/288. Factor 1/2*a**2 + t*a**3 + 0 + 0*a.
a**2*(a + 2)/4
Let i(w) be the first derivative of -1/3*w - 9 - 2/3*w**3 - 7/6*w**2. Suppose i(b) = 0. What is b?
-1, -1/6
Suppose 3*k - 1 = -4*v + 17, -2*k + 3*v - 5 = 0. Factor -8 - 40023*h**k + 8 + 9*h + 8 + 40024*h**2.
(h + 1)*(h + 8)
Let m(t) = 5*t**2 - 57*t + 97. Let z = 28 + -23. Let l(p) = -10*p**2 + 115*p - 195. Let y(a) = z*m(a) + 3*l(a). Factor y(c).
-5*(c - 10)*(c - 2)
Let o(t) = -920*t**2 + 2610*t - 5290. Let u(b) = -147*b**2 + 435*b - 882. Let h(f) = 4*o(f) - 25*u(f). Factor h(l).
-5*(l - 2)*(l + 89)
Let w(q) = -q**3 - 19*q**2 - 17*q + 22. Let h be w(-18). Suppose s - h*l = 2, -s - 3*s = 3*l - 27. Let -2*b**4 - s*b**2 - 14 + 7 - 8*b**3 + 7 = 0. What is b?
-3, -1, 0
Let d(i) be the second derivative of -i**6/20 - 31*i**5/40 - 49*i**4/12 - 16*i**3/3 + 24*i**2 - 3*i + 17. Determine m so that d(m) = 0.
-4, -3, 2/3
Let x be (-156)/(-65) - 2/(30/(-9)). Determine g so that -4*g**5 - 63*g + 12*g**3 - 4*g**x + 59*g = 0.
-1, 0, 1
Let q(f) be the second derivative of -3/100*f**5 - 1/12*f**4 - 1 + 1/15*f**3 + 0*f**2 + 4*f. Factor q(j).
-j*(j + 2)*(3*j - 1)/5
Suppose -2 = -6*c + 22. Suppose c*a - a = 72. Factor -a*q + 12*q + 5*q**2 - 8*q**2.
-3*q*(q + 4)
Factor 3*x**4 + 60*x**3 - 60*x + 20*x**2 + 18*x**2 + 35 + 16*x**2 - 92.
3*(x - 1)*(x + 1)**2*(x + 19)
Let b(u) be the second derivative of -u**5/140 - 19*u**4/42 - 229*u**3/42 - 186*u**2/7 + 10863*u. Factor b(q).
-(q + 3)*(q + 4)*(q + 31)/7
Let x(k) be the second derivative of 0*k**4 + 17*k + 1/90*k**6 + 1/10*k**5 + 1/2*k**3 + 0*k**2 + 0. Let q(u) be the second derivative of x(u). Factor q(a).
4*a*(a + 3)
Let d(w) be the second derivative of -1/3*w**3 + 2 + 1/10*w**5 + w**2 - 1/6*w**4 + 13*w. Factor d(n).
2*(n - 1)**2*(n + 1)
Find o, given that 54*o + 14*o**4 + 10 - 46 + 28*o**2 + 253*o**5 - 19*o**2 - 249*o**5 - 58*o**3 + 13*o**2 = 0.
-6, -1, 1, 3/2
Let d(l) be the second derivative of l**4/20 - 641*l**3/10 - 1528*l. Factor d(f).
3*f*(f - 641)/5
Suppose 2/7*x**2 - 234/7*x + 0 = 0. What is x?
0, 117
Let a(n) be the first derivative of -36*n + 124 + 2/3*n**3 - 3*n**2. Factor a(r).
2*(r - 6)*(r + 3)
Let z be 2590/(-44400)*96/(-42). Factor -z*d**3 + 2/15*d - 8/15 + 8/15*d**2.
-2*(d - 4)*(d - 1)*(d + 1)/15
Let w(k) be the second derivative of -k**5/70 - 8*k**4/21 + 411*k. Find g such that w(g) = 0.
-16, 0
Factor 0 + 2/9*g**2 - 64/9*g.
2*g*(g - 32)/9
Let w(h) be the third derivative of -h**6/360 - 91*h**5/45 - 4048*h**4/9 + 67712*h**3/9 - 4*h**2 + 286*h. Let w(z) = 0. What is z?
-184, 4
Let v = 699 - -1213. Let g = v + -1894. Determine f, given that 72*f**4 + 4/3 + 96*f**3 + 164/3*f**2 + g*f**5 + 14*f = 0.
-2, -1, -1/3
Let b be (-22)/286*(1 - 13/5). Let h = 41/195 + b. Factor 1/3*v + h*v**2 - 7/9*v**3 + 1/3*v**4 - 2/9.
(v - 1)**3*(3*v + 2)/9
Let g be 62 - 1 - (5 + -1). Let n = g + 57. Factor 5*d**2 - n*d + 56*d + 43*d.
5*d*(d - 3)
Let g(c) be the first derivative of 0*c**3 + 0*c**4 - 1/140*c**5 + 20*c - 14 + 1/210*c**6 + 0*c**2. Let v(z) be the first derivative of g(z). Factor v(l).
l**3*(l - 1)/7
Let l be (-14)/((-168)/36)*1. Let j(q) be the first derivative of 0*q + 3/4*q**4 - 3*q**2 + 9/5*q**5 - l*q**3 + 1/2*q**6 - 19. Determine b so that j(b) = 0.
-2, -1, 0, 1
Let h = -30 - -61/2. Suppose 5*z - 5*w - 25 = 0, 58 = 6008*z - 5992*z - 5*w. Determine f so that -1/2*f**2 - h*f + 1/2 + 1/2*f**z = 0.
-1, 1
Let m(w) be the third derivative of -1315609*w**6/24 - 1147*w**5/3 - 5*w**4/6 - 51*w**2 - 2*w - 27. Determine y, given that m(y) = 0.
-2/1147, 0
Let w(f) be the first derivative of 3*f**2/2 - 22*f + 11. Let i be w(9). Factor 0*s**2 + 6*s**3 - s - i*s**3 + 0*s**2.
s*(s - 1)*(s + 1)
Suppose -c - 1993 = 5*w, 4*w - 5*c = -2*c - 1583. Let g = -5968/15 - w. Factor -2/15*b**2 - 2/15*b + g*b**3 + 2/15.
2*(b - 1)**2*(b + 1)/15
Let u(t) be the third derivative of -t**8/336 + t**7/15 - 3*t**6/5 + 27*t**5/10 - 45*t**4/8 - 4218*t**2. Solve u(i) = 0.
0, 3, 5
Let b(f) = -f**2 + f + 8. Let u(n) = -4*n**4 + 44*n**3 + 111*n**2 - 7*n - 56. Let q(j) = 7*b(j) + u(j). Find z such that q(z) = 0.
-2, 0, 13
Find b, given that -71/2*b**3 + 26*b**4 + 52*b - 9 - 227/4*b**2 = 0.
-18/13, 1/4, 1/2, 2
Let o = 10327/15 - 10324/15. Solve o*d**2 - 3 - 2/5*d = 0.
-3, 5
Let v(f) = 12*f**3 - 84*f**2 - 96*f. Let i(n) = 3*n**3 - 21*n**2 - 24*n. Let h = 108 + -99. Let t(z) = h*i(z) - 2*v(z). Factor t(l).
3*l*(l - 8)*(l + 1)
Let q(m) be the third derivative of 19*m**2 + 0 + 7/100*m**5 - 1/200*m**6 + 0*m**3 + 1/5*m**4 + 0*m. Determine i, given that q(i) = 0.
-1, 0, 8
Let b = 38 + -36. Let i be 195/(-20) + (8 - 3 - -5). Factor 5/2*r - 25/4 - i*r**b.
-(r - 5)**2/4
Let o be -6*(-12)/33*1166/3180. Let a = 49/95 + -6/19. Factor -a*t**2 - o - t.
-(t + 1)*(t + 4)/5
Let p(o) be the third derivative of 3/7*o**4 - 279*o**2 + 0 - 1/28*o**5 + 0*o + 0*o**3. Factor p(y).
-3*y*(5*y - 24)/7
Let u be 5 + (-5*1)/((-20)/(-100)). Let o be 3*4/(u/(-5)). Factor 0 + 1/6*k**2 + 0*k**o + 0*k - 1/6*k**4.
-k**2*(k - 1)*(k + 1)/6
Let -2*f**4 + 537*f**2 + 251*f**3 - 329*f**3 + 1232*f + 363*f**2 + 1232 + 600*f + 220*f**3 = 0. What is f?
-2, 77
Let z(p) be the second derivative of 7/27*p**4 + 2/135*p**6 - 4/9*p**3 + 0 + 45*p - 16/9*p**2 + 2/15*p**5. Suppose z(o) = 0. What is o?
-4, -2, -1, 1
Let c(d) = d**3 + 5*d**2 - 3*d - 11. Let u be c(-5). Find v, given that 100*v**5 - 32*v**2 - 8*v**u - 53*v**3 - 31*v**3 - 72*v**5 + 16*v = 0.
-1, 0, 2/7, 2
Let 135*p - 39 - 63/4*p**4 + 363/4*p**3 - 681/4*p**2 - 3/4*p**5 = 0. Calculate p.
-26, 1, 2
Let t(i) be the second derivative of i**8/1344 - i**7/42 - i**6/144 + i**5/2 + 3*i**4 + 11*i. Let a(g) be the third derivative of t(g). Solve a(l) = 0 for l.
-1, 1, 12
Let a(v) = -8*v**3 + 202*v**2 - 730*v - 931. Let d(r) = 23*r**3 - 607*r**2 + 2185*r + 2791. Let i(m) = 8*a(m) + 3*d(m). Factor i(k).
5*(k - 37)*(k - 5)*(k + 1)
Let b(v) be the third derivative of 81*v**2 - 3/20*v**5 + 0 - 23/4*v**4 + 0*v - 15/2*v**3. Solve b(g) = 0.
-15, -1/3
Let h(o) be the first derivative of -3*o**2 - 52 - o**3 - 51 + 21*o**2. What is p in h(p) = 0?
0, 12
Find z such that -280/9 - 64/9*z + 34/9*z**2 - 2/9*z**3 = 0.
-2, 5, 14
Let -2/7*h**2 + 1166/7 - 1164/7*h = 0. What is h?
-583, 1
Suppose -24*y - 24 = -23*y. Let c = -11 - y. Suppose -7*f + c*f - 4*f**2 + f**2 = 0. Calculate f.
0, 2
Let x(j) be the first derivative of j**9/3024 - j**8/840 - j**7/210 + j**6/45 + 47*j**3 - 54. Let g(h) be the third derivative of x(h). Factor g(m).
m**2*(m - 2)**2*(m + 2)
Determine h, given that -77/3 + 1/3*h**5 + 154/3*h**3 - 2/3*h**2 + 79/3*h**4 - 155/3*h = 0.
-77, -1, 1
Let i(o) be the first derivative of 11/2*o**2 - 1/3*o**3 + 202 - 30*o. Factor i(q).
-(q - 6)*(q - 5)
Let z be 4/30*(657/(-336) - 4). Let g = 1/168 - z. Factor g - 2*i**2 + 6/5*i.
-2*(i - 1)*(5*i + 2)/5
Solve -125*n - 781/2*n**4 - 9/2*n**5 + 84 - 1767/2*n**2 - 2121/2*n**3 = 0.
-84, -1, 2/9
Let k(b) be the second derivative of -b**4/30 + 3158*b**3/15 - 2493241*b**2/5 - 5*b + 123. Determine y so that k(y) = 0.
1579
Let h(g) be the first derivative of -1/4*g**4 + 3/2*g**3 - 12 - 3*g + 0*g**2. Let i(c) be the first derivative of h(c). Let i(u) = 0. Calculate u.
0, 3
Let x(n) be the third derivative of -3/20*n**6 - 85*n**2 + 1/504*n**8 + 9