 22)/2
Let c be (-1)/(-2)*(-16)/(-22). Suppose 22*z = 997 - 997. Factor c*y + z + 2/11*y**2.
2*y*(y + 2)/11
Let j(c) = -2. Let z(h) = h**2 + h + 1. Let a(i) = -6*i**2 - 14*i - 22. Let b(w) = -a(w) - 4*z(w). Let m(u) = -2*b(u) - 6*j(u). Factor m(q).
-4*(q + 2)*(q + 3)
Let u be (0 + 5 - 7)*1 + 6. Let m(i) be the first derivative of -810*i**u + 3/2*i + 1944*i**5 - 9 + 180*i**3 - 45/2*i**2 - 1944*i**6. Factor m(x).
-3*(6*x - 1)**5/2
Let g be (-258)/(-5 + 28/12). Let c = 97 - g. Determine a so that 1/4*a + 1/2 - c*a**2 = 0.
-1, 2
Solve -1/4*c**2 - 3/4*c**3 + 0 + 1/4*c**4 + 3/4*c = 0.
-1, 0, 1, 3
Let p(l) be the third derivative of 1/200*l**6 + 1/40*l**4 - l**2 + 0 + 1/25*l**5 - 3/5*l**3 + 0*l. Factor p(q).
3*(q - 1)*(q + 2)*(q + 3)/5
Let i(x) = -3*x**2 - 2*x - 12. Let k(u) = 2*u**2 + 6. Let f(d) = -3*i(d) - 7*k(d). Let r(l) = -7*l**2 + 7*l - 7. Let j(g) = 6*f(g) - 4*r(g). Factor j(a).
-2*(a - 2)**2
Let s(n) be the first derivative of -3*n + 1/50*n**5 + 3 + 4/15*n**3 + 0*n**2 + 2/15*n**4. Let l(w) be the first derivative of s(w). Solve l(c) = 0 for c.
-2, 0
Suppose 0 = -3*n - 291 + 297. Let b(p) be the first derivative of 4/7*p**n + 4/21*p**3 - 1/14*p**4 + 3 - 16/7*p. Factor b(o).
-2*(o - 2)**2*(o + 2)/7
Let l(v) be the second derivative of -v**4/114 - v**3/19 + 15*v. Factor l(k).
-2*k*(k + 3)/19
Let o = 976 - 29279/30. Let l(m) be the third derivative of 2*m**2 + 0*m**3 + 0 + 0*m**4 - o*m**6 - 1/15*m**5 + 0*m. Factor l(k).
-4*k**2*(k + 1)
What is w in 3/4*w**3 - w**2 - 5/4*w + 1/2 = 0?
-1, 1/3, 2
Let v(g) = -33*g - 3. Let p be v(-3). Let t be ((-2)/(-6))/(8/p). Determine s, given that -3*s**4 - 4 + 2*s + 2*s - s**4 + 3*s**2 + 3*s**t - 2*s**3 = 0.
-2, 1
Let u(t) be the third derivative of -t**7/1260 - t**6/240 + t**5/36 - 33*t**2. What is d in u(d) = 0?
-5, 0, 2
Let c = -60 + 72. Let p be 2/(-8)*-5*c. Determine f, given that 21/2*f**2 - 3/4*f**5 - 3*f**4 - 3/4*f**3 + 6 + p*f = 0.
-2, -1, 2
Let c(a) be the first derivative of -4*a**3/3 - 158*a**2 + 87. Factor c(w).
-4*w*(w + 79)
Solve -2/3*r**2 + 0 - 40/3*r = 0 for r.
-20, 0
Let c(d) = -d**2 - 3*d + 1. Let i(a) = -4*a**2 - 12*a + 3. Let m(t) = 22*c(t) - 6*i(t). Find g such that m(g) = 0.
-2, -1
Suppose -3*b = -5*b + 56. Suppose -a - b = -30. Factor -2/5*u**a - 4/5*u - 2/5.
-2*(u + 1)**2/5
Let g(l) be the second derivative of -l**7/70 - l**6/20 - l**5/20 - 4*l**2 + 22*l. Let q(d) be the first derivative of g(d). Determine a so that q(a) = 0.
-1, 0
Let h(w) be the first derivative of -w**3/15 + 31*w**2/5 - 61*w/5 + 89. Determine q, given that h(q) = 0.
1, 61
Let d be -3 - -4*(-49)/(-56). Factor 1/2*w**2 - 1/2*w**4 + d*w - 1/2*w**3 + 0.
-w*(w - 1)*(w + 1)**2/2
Let c(r) be the first derivative of -r**3/4 + 45*r**2/8 + 51*r/2 - 279. Factor c(z).
-3*(z - 17)*(z + 2)/4
Let s(y) = y**2 + 3*y. Let u(l) = 20*l**2 + 25*l - 120. Let v(x) = -25*s(x) + u(x). Determine z, given that v(z) = 0.
-6, -4
Let b(s) be the first derivative of -s**7/420 - s**6/180 - s**3 - 2. Let q(m) be the third derivative of b(m). Suppose q(u) = 0. Calculate u.
-1, 0
Let p(n) = -n**2 + 86*n + 3338. Let x be p(115). Suppose -4*o - o = -10. Determine h, given that -4/15*h**4 - 2/15*h + 0 + 2/15*h**5 + 4/15*h**o + 0*h**x = 0.
-1, 0, 1
Suppose 5*b + 1 = -3*c + 21, 5*b - 20 = 5*c. Suppose -u - u + 8 = c. Solve u*l + 0*l - l**3 + 2*l**2 - 5*l = 0.
0, 1
Determine t, given that 0 - 15/7*t + 10/7*t**4 + 38/7*t**2 - 1/7*t**5 - 32/7*t**3 = 0.
0, 1, 3, 5
Let v(k) be the third derivative of 0*k - 1/60*k**6 + 0*k**4 + 0*k**3 + 0 + 0*k**5 - 11*k**2 - 1/42*k**7. Factor v(u).
-u**3*(5*u + 2)
Let f(j) = 15*j**4 - 9*j**2 + 6*j - 3. Let o(n) = -14*n**4 + n**3 + 10*n**2 - 5*n + 2. Let m(x) = 2*f(x) + 3*o(x). Factor m(u).
-3*u*(u - 1)*(u + 1)*(4*u - 1)
Let u be 2*((-310)/775)/((-8)/5). Factor 0*q + 1/2 - u*q**2.
-(q - 1)*(q + 1)/2
Let k be -2*3/(-6)*9/54*21. Factor 1/2*g**2 + 3 + k*g.
(g + 1)*(g + 6)/2
Factor -6/5*c**2 + 0 + 9*c - 3/5*c**3.
-3*c*(c - 3)*(c + 5)/5
Let b = 468 - 468. Let g(y) be the first derivative of -2/5*y**5 + 2/3*y**3 + 7/6*y**4 + b*y - 2/3*y**2 - 5/9*y**6 - 1. Find w such that g(w) = 0.
-1, 0, 2/5, 1
Let b = 33 + -2. Let b*z**3 - 20*z**5 + 13*z**3 - 8*z**4 - 16*z**2 - 16*z - 8*z**3 + 24*z**3 = 0. What is z?
-2, -2/5, 0, 1
Let n(w) be the third derivative of -w**9/181440 + w**7/5040 - w**6/1080 - w**5/5 - 4*w**2. Let k(v) be the third derivative of n(v). Factor k(r).
-(r - 1)**2*(r + 2)/3
Suppose 2*q + q - 3*t = 18, 0 = -2*q - 3*t + 7. Let k(f) = -f**3 + 5*f**2 + f - 2. Let y be k(q). Determine n so that n**2 + n**y - n + 0*n + 3 - 4 = 0.
-1, 1
Suppose -61202*k**2 + 1206*k**2 - 4520*k**3 - 10919*k - 49883*k - 2*k**5 - 20402 - 6045*k**3 - 8631*k**3 + 398*k**4 = 0. Calculate k.
-1, 101
Factor -1096*c + 574*c + 170 + 70*c**2 + 277*c + 5*c**3.
5*(c - 2)*(c - 1)*(c + 17)
Suppose -9 = 8*w - 9*w. Suppose 13*p + w + 22*p**2 - 25*p**2 - 6*p**4 - 15*p**3 + 2*p = 0. Calculate p.
-3/2, -1, 1
Find f, given that -50 + 5*f**5 - 14*f**4 + 50 + 4*f**4 = 0.
0, 2
Let v(r) be the third derivative of -r**8/5040 - r**7/315 + r**6/36 + 11*r**5/60 - 19*r**2. Let i(q) be the third derivative of v(q). Solve i(m) = 0.
-5, 1
Suppose -3*y + 10 = -j, 5*y - 29 = -9. Solve -7/6*r**j - 3/2 + 1/6*r**3 - 17/6*r = 0.
-1, 9
Suppose -5*n - 31 = 3*r, -4*r - 3*n = -0*r + 34. Let q(i) = -15*i**2 + 15*i + 41. Let c(k) = -7*k**2 + 7*k + 21. Let h(x) = r*c(x) + 3*q(x). Factor h(m).
4*(m - 3)*(m + 2)
Let d be 3/60*55 - (3 + (3 - 4)). Factor -15/2*x + d*x**2 + 75/4.
3*(x - 5)**2/4
Let q be -1 - 8/(-48)*37/2. Let s = q + -3/4. Factor -10/3*r + 2/3*r**3 - 2/3*r**4 + s + 2*r**2.
-2*(r - 1)**3*(r + 2)/3
Let c(h) = 4*h**3 + 5*h**2 - 2*h - 3. Let d(y) = -5*y**3 - 5*y**2 + 3*y + 3. Let m(n) = 4*c(n) + 3*d(n). Let w be m(-3). Solve 15 - 4*o**2 + 4 - w*o - 3 = 0.
-4, 1
Let d(t) be the second derivative of 0*t**4 - 2/3*t**3 + 1/180*t**6 + 0 + 0*t**2 + 5*t - 1/60*t**5. Let m(q) be the second derivative of d(q). Factor m(n).
2*n*(n - 1)
Let v(p) be the third derivative of p**7/280 - 29*p**6/160 + 7*p**5/20 + 338*p**2. Factor v(w).
3*w**2*(w - 28)*(w - 1)/4
Let n(d) be the third derivative of d**8/1008 - d**7/70 + 7*d**6/90 - d**5/5 + 2*d**4/9 + 65*d**2. Find q, given that n(q) = 0.
0, 1, 2, 4
Suppose 8/9*v**3 - 8*v + 4/3*v**2 + 6 - 2/9*v**4 = 0. Calculate v.
-3, 1, 3
Let t(c) = -2*c - 2. Let q be t(-3). Let p be (-3 - -5)/(q/6). Factor -3*y - 9*y + p*y**2 - 6*y + 27.
3*(y - 3)**2
Let s = 117307/2287775 + 2/13073. Let a(r) be the third derivative of 8/15*r**3 + 0 + 7/15*r**4 - 9/100*r**6 + 0*r + 3/25*r**5 - s*r**7 + 5*r**2. Factor a(q).
-2*(q - 1)*(3*q + 2)**3/5
Let o be (-1)/((-4)/8) - -1. Suppose -5*q + 11 = -4*b, -o*q = -b - 8 - 0. Solve b + 1 + 0 + 36*p + 28*p**2 + 6 = 0 for p.
-1, -2/7
Let d(w) = -w - 1. Let o(n) = -6*n + 7. Let t(h) = -5*d(h) + o(h). Let k be t(12). Factor 4/5*j + k - 2/5*j**2.
-2*j*(j - 2)/5
Let j be (1 - 0)*(-6 - -5). Let g(c) = c**2 - 2*c - 1. Let s be g(j). Determine u, given that -4*u**s + 0*u**2 + 8*u + 12 + 0 = 0.
-1, 3
Let b(q) be the second derivative of -2*q**6/105 - 4*q**5/35 - q**4/7 + q + 43. Factor b(r).
-4*r**2*(r + 1)*(r + 3)/7
Let j be 40/(-5) + (-720)/(-84). Factor j*z + 2/7*z**2 + 2/7.
2*(z + 1)**2/7
Let f = -835 + 835. Let x be 1/12*16/8. Factor -1/3*t**2 + x*t**3 + 0*t + f.
t**2*(t - 2)/6
Suppose -5*t + 43*l + 3 = 42*l, 2*l = -5*t - 6. Solve t + 4/7*a + 2/7*a**2 - 2/7*a**3 = 0.
-1, 0, 2
Let j(u) be the first derivative of -3*u**4/20 - 9*u**3/5 + 259. Find m such that j(m) = 0.
-9, 0
Let w(y) = y**2 + 15*y. Let x be w(-15). Suppose 0*s - 1/7*s**5 - 2/7*s**2 + 3/7*s**3 + x*s**4 + 0 = 0. What is s?
-2, 0, 1
Let c be ((-6)/(-8))/((-9)/(-60)). Suppose 0*g + c*g - 40 = 0. Factor -g*y**3 + 6*y**3 + 2*y**2 + y + 3*y**3.
y*(y + 1)**2
Let n(m) be the third derivative of m**8/2016 - m**7/1260 - 271*m**2. Factor n(l).
l**4*(l - 1)/6
Let z(q) be the second derivative of 0 + 29*q + 1/20*q**4 - 1/50*q**6 - 1/15*q**3 + 0*q**2 + 1/100*q**5 + 1/210*q**7. Factor z(j).
j*(j - 2)*(j - 1)**2*(j + 1)/5
Let a(n) be the second derivative of -n**7/1995 + n**5/190 + n**4/114 + 27*n**2/2 + 9*n. Let l(z) be the first derivative of a(z). Factor l(f).
-2*f*(f - 2)*(f + 1)**2/19
Factor 92/11 + 42/11*v + 2/11*v**3 - 48/11*v**2.
2*(v - 23)*(v - 2)*(v + 1)/11
Let m(h) = 23*h**2 - 106