 3*z.
z*(z + 99)
Let u be -18*(5 + 372/(-72)). Suppose -2 + 8*y - 21/2*y**2 - y**4 + 11/2*y**u = 0. What is y?
1/2, 1, 2
Let x(f) be the first derivative of -f**5/15 - f**4/6 + 7*f**3/9 - 2*f**2/3 + 217. Find w, given that x(w) = 0.
-4, 0, 1
Let g(n) be the first derivative of 7*n**6/2 - 9*n**5 - 99*n**4/4 + 47*n**3 - 9*n**2 - 448. Solve g(m) = 0 for m.
-2, 0, 1/7, 1, 3
Suppose 2*o + 0*o - 6 = 0. Suppose -6*d + 18 = -0*d. Factor 0*p**d - 3*p**o - 14*p + 17*p.
-3*p*(p - 1)*(p + 1)
Let n(i) be the third derivative of -i**5/240 + i**4/32 - i**3/12 + 22*i**2 - 1. Factor n(t).
-(t - 2)*(t - 1)/4
Let w(y) = -y**3 + y**2 - y + 1. Let h(v) = -12*v**3 - v**2 + 2*v + 11. Let q(j) = -5*h(j) + 40*w(j). Factor q(i).
5*(i - 1)*(i + 3)*(4*i + 1)
Factor 73*t**2 + 31*t - 216*t + 30 + 110*t**2 + 150*t**2 - 248*t**2.
5*(t - 2)*(17*t - 3)
Let g(u) be the third derivative of u**6/150 - 7*u**5/75 + u**4/5 - 121*u**2. Find l, given that g(l) = 0.
0, 1, 6
Suppose -8*t = -7*t + 16. Let r = 18 + t. Factor -14/9*q**3 - 32/9*q**r - 4/9 - 22/9*q.
-2*(q + 1)**2*(7*q + 2)/9
Let b(y) = y**3 + y**2 - 2*y + 3. Let u be b(-2). Let l(p) be the third derivative of 0*p**3 + u*p**2 + 0 + 0*p + 0*p**4 - 1/100*p**5. Let l(t) = 0. What is t?
0
Let l be 10/(-4)*8/(-5). Let v be 2 + (-2 - 6/(-3)). Factor -k**3 + 4*k**v - k - 2 - l*k + 0*k + 4.
-(k - 2)*(k - 1)**2
Let j = -201/5 + 213/5. Suppose 3/5 + 12/5*z**2 + j*z = 0. What is z?
-1/2
Let n(t) be the first derivative of -t**6/2 - 6*t**5/5 - 3*t**4/4 - 107. Determine h, given that n(h) = 0.
-1, 0
Let n be (-27)/81 - 46/(-3). Let f = n - 4. Factor c**2 + f + 3*c - 11.
c*(c + 3)
Let b = 2693 + -32311/12. Let z(s) be the second derivative of 0 + 0*s**2 + 0*s**3 - 1/6*s**6 + 0*s**5 + 8*s + b*s**4. Factor z(d).
-5*d**2*(d - 1)*(d + 1)
Let w(k) be the third derivative of 2*k**7/35 - 8*k**6/15 - 13*k**5/15 + k**4 + 268*k**2. Determine o, given that w(o) = 0.
-1, 0, 1/3, 6
Let m be 2/(-10) + -1*(-26)/5. Factor -3*a - m*a**2 + 3*a + 4*a**2 + 4 + 3*a.
-(a - 4)*(a + 1)
Let o(m) be the second derivative of m**9/3780 + m**8/420 + 2*m**7/315 - m**4/4 - 11*m. Let d(z) be the third derivative of o(z). Determine i so that d(i) = 0.
-2, 0
Let y be ((-9)/(-7))/((-4)/(8/(-15))). Let o(j) be the first derivative of 3/28*j**4 + 0*j**3 + 1/14*j**6 + 4 - y*j**5 + 0*j**2 + 0*j. Factor o(z).
3*z**3*(z - 1)**2/7
Let k(b) be the third derivative of -b**8/2856 + b**6/170 - 4*b**5/255 + b**4/68 - 156*b**2. Solve k(z) = 0.
-3, 0, 1
Suppose 28*z - 26*z = -15*z + 204. Solve -z*t**2 + 3/5*t**3 + 36/5*t + 9/5*t**4 + 0 = 0.
-3, 0, 2/3, 2
Let -18*p**4 - 4*p**5 + 486*p - 616*p**2 + 332*p**3 + 2*p**5 + p**4 - 39*p**4 - 4*p**4 - 140 = 0. What is p?
-35, 1, 2
Suppose 29*t**2 + t - 94*t**2 - 176*t - 378*t - 2*t**3 - 256 + 9*t = 0. What is t?
-16, -1/2
Let b(q) be the first derivative of q**4/6 + 16*q**3/3 + 39*q**2 - 676*q/3 + 127. What is c in b(c) = 0?
-13, 2
Let o be 5/(-1) + 1332/259. Let d(b) be the first derivative of 2/35*b**5 + 0*b**3 + 0*b**2 - 1/21*b**6 + 1 + 0*b + o*b**4. Factor d(g).
-2*g**3*(g - 2)*(g + 1)/7
Solve 10/3*n**2 - 11/3*n + 1/3*n**3 + 0 = 0.
-11, 0, 1
Let u be (-49)/(-5) - (4 - 4). Let i be 3/(-2) - (-322)/140. Factor -u*r**2 + 28/5*r - i.
-(7*r - 2)**2/5
Let j(g) be the third derivative of -g**8/560 - 11*g**7/350 - 3*g**6/25 + g**5/25 + 4*g**4/5 + 884*g**2. Solve j(d) = 0 for d.
-8, -2, 0, 1
Let o(v) be the second derivative of 1/8*v**4 + 1/40*v**6 + 3*v**2 - 1/10*v**5 + 7*v + 0*v**3 + 0. Let w(p) be the first derivative of o(p). Factor w(q).
3*q*(q - 1)**2
Let c(z) be the first derivative of -z**6/1980 - z**5/132 - z**4/33 + z**3/3 + 11*z + 52. Let u(x) be the third derivative of c(x). Factor u(b).
-2*(b + 1)*(b + 4)/11
Factor -2 + 1/5*c**2 + 9/5*c.
(c - 1)*(c + 10)/5
Let m = -14 - -17. Factor -33*j**5 - 30*j**m + 35*j**5 + 12*j**3.
2*j**3*(j - 3)*(j + 3)
Let h(m) be the second derivative of m**5/20 + 3*m**4/2 + 194*m. Determine b, given that h(b) = 0.
-18, 0
Let y(n) = -n**5 + 2*n**4 + n**3 - 2*n - 2. Let v(t) = -18 + 2*t**5 - t**5 + t**2 - 4*t - 3*t**4 + 21 + 7*t. Let x(m) = -2*v(m) - 3*y(m). Factor x(o).
o**2*(o - 2)*(o + 1)**2
Let m(y) = 7*y**2 - 12*y + 12. Let b(w) = -8*w**2 + 12*w - 12. Let v = -1 - -6. Suppose -16 = -0*t - 4*t. Let n(u) = t*b(u) + v*m(u). What is i in n(i) = 0?
2
Let q(m) be the first derivative of -9*m**6/8 + 87*m**5/20 - 45*m**4/16 - 25*m**3/4 + 9*m**2 - 3*m - 82. Determine f, given that q(f) = 0.
-1, 2/9, 1, 2
Let d(p) be the third derivative of p**6/40 + 8*p**5/5 + 31*p**4/8 - 5*p**2 - p. Factor d(y).
3*y*(y + 1)*(y + 31)
Let t(n) be the first derivative of -34*n**2 - 289/3*n**3 - 12 - 4*n. Factor t(f).
-(17*f + 2)**2
Factor 20*x**2 + 4/3*x - 20 - 4/3*x**3.
-4*(x - 15)*(x - 1)*(x + 1)/3
Let s(m) be the first derivative of -2*m**3/9 + 70*m**2/3 - 2450*m/3 - 491. Solve s(l) = 0.
35
Suppose -44 - 21 = 13*y. Let i be y + 148/(-112)*-4. Factor 4/7*n + i + 2/7*n**2.
2*(n + 1)**2/7
Factor 4*g**5 - 6*g**3 + 8*g - 20*g**2 - 47*g**4 + 42*g**3 + 27*g**4 - 8*g**2.
4*g*(g - 2)*(g - 1)**3
Let f(l) be the third derivative of -l**9/272160 - l**8/22680 - l**7/7560 + l**5/30 - l**4/6 + 52*l**2. Let v(c) be the third derivative of f(c). Factor v(z).
-2*z*(z + 1)*(z + 3)/9
Let z be (3 - 6) + (-4)/(360/(-273)). Let j(c) be the third derivative of z*c**5 + 0 + 5*c**2 - 1/2*c**4 + 3*c**3 + 0*c. Solve j(r) = 0.
3
Let t(m) be the first derivative of 0*m**2 + 1/360*m**6 + 0*m - 4 + 1/24*m**4 - 4/3*m**3 + 1/60*m**5. Let v(p) be the third derivative of t(p). Factor v(q).
(q + 1)**2
Let h(p) be the first derivative of -8/57*p**3 - 1/38*p**4 + 1/19*p**2 + 8/19*p + 6. Determine z so that h(z) = 0.
-4, -1, 1
Let w(z) be the second derivative of 1/147*z**7 + 0*z**3 + 0*z**5 + 0*z**2 - 6 + 0*z**6 + 0*z**4 + z. Let w(k) = 0. Calculate k.
0
Factor -10*f**2 - 73205 + 1210*f - 2*f**2 + 8*f**2 - f**2 + 0*f**2.
-5*(f - 121)**2
Factor 242/3 + 286/3*j + 2/3*j**3 + 46/3*j**2.
2*(j + 1)*(j + 11)**2/3
Let h(k) be the first derivative of 1/10*k**4 + 0*k + 0*k**2 + 1/15*k**3 - 1. Find g, given that h(g) = 0.
-1/2, 0
Suppose 3*r - 372 = -r. Suppose -m + 96 = r. Factor 0 + 0*z + 1/3*z**2 - 1/3*z**m.
-z**2*(z - 1)/3
Let t(z) be the second derivative of -z**8/7560 + z**6/1620 - 3*z**3 + 17*z. Let n(p) be the second derivative of t(p). Suppose n(g) = 0. What is g?
-1, 0, 1
Let w = -31672 - -95018/3. Factor -w*l - 4/3*l**2 + 4/3 + 2/3*l**3.
2*(l - 2)*(l - 1)*(l + 1)/3
Let k(n) be the first derivative of -5*n**4/2 + 5*n**3/3 + 5*n**2/2 - 41. Find a such that k(a) = 0.
-1/2, 0, 1
Let k(d) = -36*d**4 - 57*d**3 + 20*d**2 + 100*d - 9. Let l(y) = -9*y**4 - 15*y**3 + 5*y**2 + 25*y - 2. Let n(s) = 4*k(s) - 18*l(s). Factor n(b).
2*b*(b - 1)*(3*b + 5)**2
Let n(g) be the first derivative of -14 + 0*g + 2*g**2 + 3*g**4 - 4*g**3 - 4/5*g**5. Factor n(f).
-4*f*(f - 1)**3
Let l(w) = 3*w**5 + 14*w**4 - 16*w**3 - 16*w**2 + 59*w - 19. Let b(s) = s**4 + s**3 + s**2 + s + 1. Let u(q) = -5*b(q) + l(q). Factor u(j).
3*(j - 1)**3*(j + 2)*(j + 4)
Let a(z) be the first derivative of z**5/120 - z**4/192 - 2*z**2 + 7. Let n(w) be the second derivative of a(w). Factor n(y).
y*(4*y - 1)/8
Let t be 8/(4/11 + 2336/352). Determine c, given that t - 12/7*c + 20/7*c**4 + 12/7*c**3 - 4*c**2 = 0.
-1, 2/5, 1
Let v(w) = -16*w + 1. Let q be v(1). Let r(x) = x**2 + 14*x - 12. Let t be r(q). Solve -8/3*z**t + 20/9*z**4 + 0 - 2/3*z**5 + 4/3*z**2 - 2/9*z = 0.
0, 1/3, 1
Let s(l) be the third derivative of -169*l**5/480 - 39*l**4/32 - 27*l**3/16 + l**2 + 68. Let s(q) = 0. What is q?
-9/13
Let m = 10 - 7. Let z(s) be the first derivative of -3/2*s**4 + 0*s**2 + 2 + 2/5*s**5 + 4/3*s**m + 0*s. Factor z(x).
2*x**2*(x - 2)*(x - 1)
Let t(h) be the first derivative of -7*h**3/9 + 11*h**2/2 + 10*h/3 - 148. Factor t(l).
-(l - 5)*(7*l + 2)/3
Let m(y) be the second derivative of y**4/48 + y**3/4 - 7*y**2/8 - 45*y. Find a such that m(a) = 0.
-7, 1
Let b = 5481/21956 - -2/5489. Factor 5/4*m**5 + b*m**3 - 2*m**4 + 0 + 0*m + 1/2*m**2.
m**2*(m - 1)**2*(5*m + 2)/4
Let m be (-530)/(-40) - (-10)/(-1) - 9/3. Factor m*v**3 + 13/4*v**2 - 49/4 + 35/4*v.
(v - 1)*(v + 7)**2/4
Let c(u) be the first derivative of -2*u**3/33 + 62*u**2/11 - 1922*u/11 - 30. Factor c(w).
-2*(w - 31)**2/11
Factor -75/8*w - 3/2*w**2 + 63/8.
-3*(w + 7)*(4*w - 3)/8
L