 a(t) = -13*g(t) - 6*z(t). Factor a(f).
5*(f - 11)*(f - 1)
Let j be (6/50)/((-18)/(-90)). Suppose -12/5 - j*v**2 + 12/5*v = 0. Calculate v.
2
Solve -15*a**2 - 50 + 19*a**3 + 65*a + 23*a**3 + 5*a**2 - 47*a**3 = 0 for a.
-5, 1, 2
Let j = -291 - -293. Let m(q) be the second derivative of 4/3*q**4 + q - 4/3*q**3 + 1/2*q**j + 0. Factor m(c).
(4*c - 1)**2
Let y = 9439 + -9437. Find g, given that -2/5*g**y - 12/5*g - 18/5 = 0.
-3
Let b = 1373 - 13729/10. Let m(n) be the second derivative of n**4 + b*n**5 + 0 + 0*n**2 + 3*n**3 + 9*n. Factor m(j).
2*j*(j + 3)**2
Let z(b) = -3*b**2 - 8*b - 13. Let f(y) be the first derivative of 8*y**3 + 63*y**2/2 + 105*y + 2. Let l(w) = -4*f(w) - 33*z(w). Factor l(o).
3*(o + 1)*(o + 3)
Let -40/13*s + 2/13*s**2 + 150/13 = 0. What is s?
5, 15
Let f(i) be the second derivative of -2*i**7/21 + 2*i**6/5 - 2*i**5/5 - 2*i**4/3 + 2*i**3 - 2*i**2 - 6*i + 21. Factor f(w).
-4*(w - 1)**4*(w + 1)
Factor 2/3*g**3 + 0*g + 8/3*g**2 + 0 - 1/3*g**4.
-g**2*(g - 4)*(g + 2)/3
Let x(u) be the first derivative of -u**4/5 + 176*u**3/15 - 34*u**2 + 168*u/5 + 229. Find t such that x(t) = 0.
1, 42
Let g = 43 + -71. Let m(y) = y**3 - y**2 - y + 1. Let f(x) = 4*x**3 - 4*x**2 - 4*x + 4. Let b(l) = g*m(l) + 6*f(l). Factor b(w).
-4*(w - 1)**2*(w + 1)
Let b(w) be the second derivative of -w**4/30 - 7*w**3/15 + 12*w**2 + 565*w. Factor b(d).
-2*(d - 5)*(d + 12)/5
Factor 138*h**2 + 132*h**2 + h - h**3 - 262*h**2 + 0 - 8.
-(h - 8)*(h - 1)*(h + 1)
Let w = 4/3 + -5/6. Suppose 0 = 3*j - 47*j. Factor 1/2*i + 3/2*i**3 + j + 3/2*i**2 + w*i**4.
i*(i + 1)**3/2
Let t be (63/12 + -4)*4. Let p(q) be the first derivative of -2 - 1/4*q**4 + 0*q - 1/15*q**t + 2/3*q**2 + 0*q**3. Factor p(n).
-n*(n - 1)*(n + 2)**2/3
Suppose 0*m + 0 + 18*m**2 + 3/5*m**3 = 0. Calculate m.
-30, 0
Let w be 1*(-25)/30 + 1. Let o(z) be the first derivative of 0*z + 1/6*z**2 + 0*z**4 - 3 + 1/30*z**5 - w*z**3. Factor o(p).
p*(p - 1)**2*(p + 2)/6
Let c(t) = -t**2 - 41*t - 310. Let j be c(-10). Solve j*q**3 - 2/3*q**4 + 0*q + 16/3*q**2 - 32/3 = 0.
-2, 2
Let u(q) be the first derivative of q**4/22 - q**2/11 + 74. Factor u(k).
2*k*(k - 1)*(k + 1)/11
Let f(j) be the first derivative of -j**3/5 - 21*j**2/10 - 18*j/5 + 16. Suppose f(c) = 0. Calculate c.
-6, -1
Let q = 101 - 177. Let h = q + 232/3. Find n, given that 16/3*n**3 + 0 + 3*n**5 - 7*n**4 + 0*n - h*n**2 = 0.
0, 2/3, 1
Let o(u) be the first derivative of -2/3*u**3 + 19 + 2/5*u**2 + 0*u - 7/10*u**4. What is h in o(h) = 0?
-1, 0, 2/7
Let v(u) be the second derivative of 1/130*u**5 + 0 + 7/13*u**3 - 8*u + 4/39*u**4 + 18/13*u**2. Suppose v(n) = 0. What is n?
-3, -2
Let h be 15/60*(-3 + 57/9). Determine y so that 0 + 0*y - 5/3*y**5 - 5/2*y**4 + 0*y**3 + h*y**2 = 0.
-1, 0, 1/2
Suppose -8*b - 89 = -113. Let l(i) be the second derivative of 8*i - 1/20*i**5 + 1/42*i**7 + 0*i**b - 1/24*i**4 + 0 + 0*i**2 + 1/60*i**6. Solve l(d) = 0 for d.
-1, -1/2, 0, 1
Let c(g) be the second derivative of -g**7/5040 + g**6/360 + g**4/3 + 17*g. Let l(b) be the third derivative of c(b). Factor l(h).
-h*(h - 4)/2
Let n(o) be the second derivative of -o**4/4 - o**3/2 + 3*o**2 - 85*o - 2. Factor n(u).
-3*(u - 1)*(u + 2)
Let f be 5/(-3) + 4/6. Let w be f - 4 - 429/(-77). Factor 4/7*x**3 - 4/7*x + 0 + 4/7*x**2 - w*x**4.
-4*x*(x - 1)**2*(x + 1)/7
Let z(y) = -4*y**4 - 52*y**3 - 84*y**2 - 40*y - 4. Let m(g) = g**3 + 1. Let q(c) = 4*m(c) + z(c). Factor q(w).
-4*w*(w + 1)**2*(w + 10)
Let a(s) = -110*s**3 + 770*s**2 - 1855*s + 880. Let z(n) = -5*n**3 + 35*n**2 - 84*n + 40. Let g(o) = 2*a(o) - 45*z(o). Suppose g(t) = 0. What is t?
1, 2, 4
Let m = -312 + 317. Let p(c) be the first derivative of 1 + 1/3*c**2 - 4/15*c**m + 4/9*c**3 + 0*c**4 + 0*c - 1/9*c**6. Find w such that p(w) = 0.
-1, 0, 1
Factor -192/7*c + 64/7 - 4/7*c**5 + 32*c**2 - 128/7*c**3 + 36/7*c**4.
-4*(c - 2)**4*(c - 1)/7
Let a(l) be the second derivative of l**8/2100 - l**7/350 + l**6/225 + l**3 - 15*l. Let p(w) be the second derivative of a(w). Factor p(u).
4*u**2*(u - 2)*(u - 1)/5
Let p = -955/4 - -239. Let z(v) be the first derivative of 1/16*v**2 - 1 + p*v - 1/24*v**3. Factor z(q).
-(q - 2)*(q + 1)/8
Let s = -73/4 + 19. Suppose -4*l - q - 49 + 54 = 0, 5*l - 3*q = -15. Factor s*y**2 + 1/2*y + l.
y*(3*y + 2)/4
Let w be (-10)/(-1)*12/20. Find t such that 3*t**2 + 3 + 2*t**2 - 29*t**2 + 48*t**3 - 21*t - w = 0.
-1/4, 1
Let a(u) be the third derivative of 0*u + 3/56*u**4 + 1/14*u**3 + 0 + 1/280*u**6 + 3/140*u**5 + 5*u**2. Factor a(o).
3*(o + 1)**3/7
Let x(h) be the second derivative of 0*h**4 + 0 + 0*h**2 + 0*h**3 + 1/20*h**5 - 22*h. Solve x(k) = 0.
0
Suppose -17*j + 14*j = -48. Let -3*b**2 - 2*b**4 + 15*b**2 + 4*b**3 + 6*b**4 + j*b**3 - 4*b**5 = 0. Calculate b.
-1, 0, 3
Suppose -3*b + 5 - 2 = 0. Let i(a) = 27*a**2 + 2*a - 1. Let n be i(b). Determine j so that -j + j + 3*j**3 + 3*j**2 + n*j**4 - 34*j**4 = 0.
-1/2, 0, 1
Let b(a) = -38*a + 611. Let r be b(16). Let l(p) be the third derivative of 0 + 1/24*p**4 + 1/4*p**r - 1/120*p**5 + 4*p**2 + 0*p. Let l(s) = 0. What is s?
-1, 3
Solve 1 + t**4 + 24 + 20 - 17*t**2 - 29 = 0 for t.
-4, -1, 1, 4
Let m(w) = -5*w**4 - 85*w**3 + 370*w**2 - 540*w + 185. Let v(n) = -n**2 - n - 1. Let a(p) = m(p) - 25*v(p). Let a(f) = 0. What is f?
-21, 1, 2
Suppose -4 - 36 = 15*t + 5*i, 16 = -2*i. Let -8/15*p - 2/15*p**3 + 2/3*p**2 + t = 0. What is p?
0, 1, 4
Let u(w) = 3*w**3 - 8*w**2 - 2*w + 1. Let h(o) = -2*o**3 - o**2 - 4*o + 1. Let v(z) = -h(z) + u(z). Let v(t) = 0. Calculate t.
0, 2/5, 1
Let n(l) be the second derivative of -l**6/240 + l**5/20 - 3*l**4/16 + 2*l**3/3 - 3*l. Let q(h) be the second derivative of n(h). Suppose q(s) = 0. What is s?
1, 3
Suppose 2*n = -5*y + 25, 5*n = -65 + 90. Find m, given that 0*m**2 - 1/2 + 1/4*m**y - 3/4*m = 0.
-1, 2
Let k(o) be the second derivative of -o**4/12 + 11*o**3/6 - 5*o**2 + 35*o. Let q be k(10). Find i such that 5/2*i**2 + 1/2*i + 2*i**3 + q = 0.
-1, -1/4, 0
Let s be (((-147)/7)/3 - -7)/(-2). Let s - 4/5*c - 2/5*c**2 = 0. What is c?
-2, 0
Let n(v) = -3*v**2 - 6*v - 9. Let g(d) be the second derivative of -d**2/2 + 13*d. Let q(f) = 6*g(f) - n(f). Factor q(o).
3*(o + 1)**2
Suppose -j - 5*a = -4*a + 4, -16 = -5*j + 4*a. Factor -6*n + 4 + n + j*n - n + 2*n**2.
2*(n - 2)*(n - 1)
Let q(o) be the second derivative of -9*o - 2/3*o**3 - 1/6*o**4 + 0 - o**2. Find w such that q(w) = 0.
-1
Let p(l) be the third derivative of -l**7/6300 + l**6/1800 + l**5/150 - 11*l**4/24 + 8*l**2. Let b(r) be the second derivative of p(r). Factor b(t).
-2*(t - 2)*(t + 1)/5
Factor 731 - 1224*p + 428*p**2 + 288*p**2 - 153 - 72*p**3 + 2*p**4.
2*(p - 17)**2*(p - 1)**2
Suppose 0 = -z + 37 - 35. Let p be -6*z/(-63)*33/11. Let -p + 2/7*q**3 - 2/7*q + 4/7*q**2 = 0. What is q?
-2, -1, 1
Let n(l) = -l**2 + 3*l - 1. Let f be n(3). Let j(b) = 2*b**3 - 14*b**2 + 2*b. Let x(t) = t**2 + t. Let y(v) = f*j(v) - 6*x(v). Factor y(c).
-2*c*(c - 2)**2
Let n(c) be the third derivative of -c**7/21 + c**6/8 - 5*c**4/24 + 318*c**2. Suppose n(b) = 0. What is b?
-1/2, 0, 1
Let x be (-200)/3 + (-3)/((-63)/14). Let s = x - -66. Let 1/2 + 0*o + s*o**3 + 1/2*o**4 - o**2 = 0. Calculate o.
-1, 1
Let b(f) = 3*f**3 + 3*f**2 - 10*f + 8. Let n(z) = 6*z**3 + 5*z**2 - 21*z + 18. Let l(q) = -9*b(q) + 4*n(q). Factor l(r).
-r*(r + 3)*(3*r - 2)
Let z(a) = a**3 - a**2 + a. Let g(u) = -8*u**3 + 14*u**2 + 7*u - 36. Let b(x) = -g(x) - 5*z(x). Factor b(r).
3*(r - 3)*(r - 2)*(r + 2)
Let p be 80/(-1716)*(-6)/(-5). Let i = p + 4/11. Factor -14/13*h**3 - i*h**2 + 0*h + 0 - 10/13*h**4.
-2*h**2*(h + 1)*(5*h + 2)/13
Factor 1/3*i**2 - 32/3 + 4/3*i.
(i - 4)*(i + 8)/3
Determine h so that 0*h**3 - 16/3 - 4/3*h**4 + 20/3*h**2 + 0*h = 0.
-2, -1, 1, 2
Factor 324/7*g + 2/7*g**2 + 13122/7.
2*(g + 81)**2/7
Factor 1/3*f**5 + 0*f**2 + 34/3*f**4 + 289/3*f**3 + 0*f + 0.
f**3*(f + 17)**2/3
Let i be 2/15 - 56/(-30). Suppose 7*m**3 + 257*m**3 + 756*m + 4*m**5 - 648*m**i - 335 - 52*m**4 + 11 = 0. Calculate m.
1, 3
Let o(i) be the first derivative of -5*i**6/24 + 2*i**5/5 + 3*i**4/2 - i**3/6 - 19*i**2/8 - 3*i/2 + 92. Suppose o(n) = 0. Calculate n.
-1, -2/5, 1, 3
Let f(k) be the second derivative of 7*k**6/75 + k**5/10 - 22*k**4/15 + 4*k**3/5 - 181*k. Find v such that f(v) = 0.
-3, 0, 2/7, 2
Solve 5*j**2 + 1/4*j**5 + 0 + 9/2*j**3 + 2*j + 7/4*j**4 = 0