= 4*a(l) - 5*w(l). Factor f(d).
2*d**2
Let b(s) = s**2 - 8*s + 3. Let a(p) = -3*p**2 + 22*p - 8. Let f(d) = 3*a(d) + 8*b(d). Factor f(u).
-u*(u - 2)
Suppose -170 = -39*z + 64. Let i(l) = 6*l + l**2 - 2 + 5*l + 0*l**2. Let g(v) = -4*v**2 - 32*v + 6. Let w(k) = z*g(k) + 17*i(k). Factor w(o).
-(o + 1)*(7*o - 2)
Factor 867/5 + 3/5*g**2 - 102/5*g.
3*(g - 17)**2/5
Let p(k) be the third derivative of k**5/15 - k**4 + 6*k**3 - 7*k**2 + 4*k. Factor p(g).
4*(g - 3)**2
Let z(b) be the third derivative of -b**7/140 + b**6/16 + 13*b**5/40 + 7*b**4/16 + 105*b**2 - 2. What is f in z(f) = 0?
-1, 0, 7
Let o = 628/749 - -2/107. Let g = 182 - 1272/7. What is d in -g + 2/7*d**3 - o*d**2 + 6/7*d = 0?
1
Let f(y) be the second derivative of -y**9/10080 + y**7/560 - y**6/240 - 5*y**4/6 + 13*y. Let r(p) be the third derivative of f(p). Factor r(b).
-3*b*(b - 1)**2*(b + 2)/2
Factor 5/2*l**4 + 10*l**2 + 1/4*l**5 + 25/4*l + 3/2 + 15/2*l**3.
(l + 1)**4*(l + 6)/4
Determine m, given that -119*m**4 + 359*m**4 - 122*m**4 - 122*m**4 + 4*m**5 = 0.
0, 1
Solve 2*z**2 - 296/3*z + 98/3 = 0 for z.
1/3, 49
Let v = -2245886/9483 + -3/6322. Let l = -234 - v. Suppose -l*g - 1/3 - 25/6*g**3 - 20/3*g**2 = 0. Calculate g.
-1, -2/5, -1/5
Let o(b) be the second derivative of -b**5/5 - b**4/3 + 4*b**3/3 - b + 70. Suppose o(l) = 0. What is l?
-2, 0, 1
Let k = -547 - -833. Suppose -280 + k = 2*d. Determine b, given that b**2 - 1/3*b**4 - 4/3*b + 2/3*b**d - 4/3 = 0.
-1, 2
Factor 56/5*b + 2/5*b**3 - 2352/5 + 44/5*b**2.
2*(b - 6)*(b + 14)**2/5
Let v(w) = -w**4 - 8*w**3 + 4*w**2 + 5*w. Let c(x) = -4*x**4 - 24*x**3 + 12*x**2 + 16*x. Let i(h) = 3*c(h) - 8*v(h). Find q, given that i(q) = 0.
-2, -1, 0, 1
Let o(y) = 2*y**2 + 2*y - 3. Let n(p) = 2*p**2 + 2*p. Let z(i) = -i**2 - i + 1. Let x(q) = n(q) + 5*z(q). Let c(r) = 5*o(r) + 3*x(r). Factor c(u).
u*(u + 1)
Suppose -431 + 433 = x. Let 0 + 2/3*m + 1/6*m**3 + 2/3*m**x = 0. What is m?
-2, 0
Factor 56454/5*w + 1825346/5 + 2/5*w**3 + 582/5*w**2.
2*(w + 97)**3/5
Let s(x) = -2*x**2 + 2*x + 1. Suppose -11 = -o - 13. Let r(z) = z**2 - z - 1. Let f(m) = o*s(m) - 6*r(m). Determine g, given that f(g) = 0.
-1, 2
Let l(p) = -p**2 - 10*p + 10. Let a be l(-11). Let n be a/(-1) + 10 + (-72)/9. Determine x so that 3/4*x + 7/4*x**n + 1/2 - 3*x**2 = 0.
-2/7, 1
Let d(c) = -c - 18. Let v be d(-14). Let l = 6 + v. Factor 3*f - 3*f + l*f**2 - 2*f + 0*f.
2*f*(f - 1)
Let u(d) = 7*d**4 - 6*d**3 - 3*d**2 + 6*d - 4. Let z(k) = 6*k**4 - 6*k**3 - 2*k**2 + 6*k - 4. Let h(b) = 4*u(b) - 5*z(b). Factor h(g).
-2*(g - 2)*(g - 1)**2*(g + 1)
Let s(i) be the second derivative of -43*i + 1/6*i**4 + 16*i**2 + 0 + 8/3*i**3. Factor s(b).
2*(b + 4)**2
Let a(i) be the first derivative of 4/3*i**3 - 18*i**2 + 32*i - 13. Solve a(k) = 0.
1, 8
Let x(a) = 2*a**3 - 196*a**2 - 201*a + 307. Let c be x(99). Factor 50/3*j**4 + c*j**3 - 16*j**2 + 0 - 32/3*j.
2*j*(j - 1)*(5*j + 4)**2/3
Let i(p) be the second derivative of -5*p + 0*p**2 - 1/34*p**5 + 1/51*p**3 + 2/51*p**4 + 0. Suppose i(f) = 0. What is f?
-1/5, 0, 1
Let l(o) be the first derivative of 0*o + o**3 + 0*o**2 - 3/5*o**5 - 2/3*o**6 + 15 + o**4. Let l(s) = 0. Calculate s.
-1, -3/4, 0, 1
Let m be (-10)/1*(-2)/5. Let w be (-6)/8 - (-11)/m. Find d, given that 12 + 6*d**2 - 12*d - 3*d**w + 0*d = 0.
2
Let y(l) be the third derivative of l**5/150 - 3*l**4/20 - 22*l**3/15 - l**2 - 22. Find x such that y(x) = 0.
-2, 11
Let b be 608/3344 - 2/((-352)/298). Let g(t) be the second derivative of 3*t**2 + 0 - 3*t + b*t**5 + 5/8*t**4 - 4*t**3. Factor g(f).
3*(f + 1)*(5*f - 2)**2/2
Let f(r) = -r**4 - r**2 + 2*r. Let k(w) = -6*w**4 + 6*w**3 + 33*w**2 - 18*w - 96. Let i(a) = 3*f(a) - k(a). Suppose i(t) = 0. What is t?
-2, 2, 4
Let p = -1/5195 + 41563/15585. Let 2/9*m**3 - 2/9*m**2 + p - 16/9*m = 0. What is m?
-3, 2
Let j be 33/66*(-2320)/(-15). Find p such that 44*p**4 - 350/3*p**3 + 140*p**2 - j*p + 16 - 6*p**5 = 0.
2/3, 1, 2, 3
Suppose -47*w**3 - 144 + 12*w**3 + 7*w**3 - 60*w + 8*w**2 + 16*w**3 + 16*w**3 = 0. What is w?
-3, 4
Suppose 0 = -27*u + 28*u. Suppose 5*h + 8 - 18 = u. Factor -1/5*y + 0 - 1/5*y**h.
-y*(y + 1)/5
Determine p, given that -3/2*p**4 - 18*p**3 + 0*p + 0 - 30*p**2 = 0.
-10, -2, 0
Let j(o) be the second derivative of -243*o**5/100 - 693*o**4/20 + 32*o**3 - 54*o**2/5 - 292*o. Factor j(u).
-3*(u + 9)*(9*u - 2)**2/5
Let r(u) = -u**2 + 11*u - 9. Let x be r(9). Factor 3*f - x*f**2 + 12*f**2 - 18*f.
3*f*(f - 5)
Let y be (-469)/(-201) + 1/(-3). Let v = 204/19 + -1086/133. Factor -12/7*t + 2/7*t**y + v.
2*(t - 3)**2/7
Solve -16/5*f - 44/5*f**2 - 2/5 - 48/5*f**3 - 18/5*f**4 = 0 for f.
-1, -1/3
Let l be (3120/224 + -14)/(7/(-49)). Solve 13/2*f - l*f**3 + 7/2 + 5/2*f**2 = 0.
-1, 7
Suppose -5*i + 2 - 7 = 0, -4*w - 3*i + 165 = 0. Suppose -2*v - w = -4*v. Factor -1 - 36*l**2 - v*l**3 - 9*l + 7 + 0*l**2.
-3*(l + 1)**2*(7*l - 2)
Let n = -2 - -3. Let j be 3*14/6*n. What is m in 2*m + 16 + 4*m + 4*m**2 - 15*m - j*m = 0?
2
Suppose -3*a - 24 = -3*z, -2*z + 5*a = 3 - 7. Let k = z + -10. What is d in d**2 - 2*d**2 - d**4 - 3*d**3 + 4*d**2 - 2*d**2 + d**5 + k*d = 0?
-1, 0, 1, 2
Let s = 136069/3 + -45351. Factor -16/3*n**2 + 4/3*n + s - 4/3*n**3.
-4*(n - 1)*(n + 1)*(n + 4)/3
Let u(p) be the second derivative of 1/20*p**4 + 0 - 6*p + 4/5*p**3 + 24/5*p**2. Suppose u(h) = 0. Calculate h.
-4
Let a(z) = 3*z**2 + 2*z. Let b(n) = -n**3 + 9*n**2 + 2*n - 13. Let c be b(9). Let y(t) = 4*t**2 + 3*t. Let r(p) = c*a(p) - 4*y(p). Factor r(f).
-f*(f + 2)
Suppose 28*c + 27*c = 0. Let m(y) be the third derivative of -3*y**2 - 1/120*y**6 - 1/60*y**5 + 0*y + c + 1/24*y**4 + 1/6*y**3. Let m(l) = 0. What is l?
-1, 1
Factor -68403/8*j**2 - 27/8 + 1359/4*j.
-3*(151*j - 3)**2/8
Let n be (-6)/24 + (6063/252 - 1). Let x = n + -68/3. Factor 0*s + 0 + 0*s**2 + x*s**4 + 2/7*s**3.
s**3*(s + 2)/7
Let v(z) = -4*z**3 + 8416*z**2 - 1175968*z + 54880000. Let i(j) = -j**3 + 1683*j**2 - 235194*j + 10976000. Let h(l) = 16*i(l) - 3*v(l). Factor h(n).
-4*(n - 140)**3
Suppose 8*m = 7*m + 153. Let y be (-1)/2 - (4 + m/(-30)). Find r, given that -y*r - 6/5 + 3/5*r**2 = 0.
-1, 2
Let t be 0 - -1 - ((-234)/351 + (-1)/12). Factor -5/4*x**2 - t*x**3 + 0 - 1/4*x - 3/4*x**4.
-x*(x + 1)**2*(3*x + 1)/4
Let u(z) be the third derivative of z**9/30240 - z**8/5040 + z**7/2520 + z**5/3 - 28*z**2. Let f(q) be the third derivative of u(q). Let f(n) = 0. Calculate n.
0, 1
Suppose 2464 = -7*x + 2478. Solve 4/5*g**3 - 3/5*g**4 - 4/5*g + 2/5*g**x + 1/5 = 0 for g.
-1, 1/3, 1
Let u = 1655/226 + 20/113. Let -1/2*z**2 - 7/2*z**3 + 0 + 0*z - u*z**4 - 9/2*z**5 = 0. Calculate z.
-1, -1/3, 0
Let s(k) = -2*k**2 + 12*k + 20. Let g(w) = 3*w + 40 + 28*w + 5*w**2 - 8*w - 8*w**2. Let i(u) = 3*g(u) - 7*s(u). Factor i(b).
5*(b - 4)*(b + 1)
Let m be 15 + -26 - (-570)/50. Factor -4/5*p**3 + 4/5*p + 0 - m*p**2 + 2/5*p**4.
2*p*(p - 2)*(p - 1)*(p + 1)/5
Let l(d) be the first derivative of -2/9*d**3 + 0*d - 1/3*d**2 + 12. Let l(j) = 0. What is j?
-1, 0
Let s(n) = -2*n - 4. Let v be s(-5). Solve 2*m + m - 8*m - m**2 - v = 0.
-3, -2
Suppose r = 3*h + 261 + 73, r = -5*h + 294. Factor -64*t + 8*t**2 + 2*t**2 - 63 - 6*t**2 + r.
4*(t - 8)**2
Factor -69/4*b**2 + 36*b + 7/2*b**3 - 27 - 1/4*b**4.
-(b - 6)*(b - 3)**2*(b - 2)/4
Let g = 199 - 199. Let w(k) be the second derivative of -k**2 + 2/3*k**4 + g - 1/2*k**3 - k - 3/20*k**5. Factor w(f).
-(f - 2)*(f - 1)*(3*f + 1)
Factor 20*y**2 - 50 - 10*y**2 + 30*y - 14*y**2.
-2*(y - 5)*(2*y - 5)
Let y(j) be the third derivative of -1/420*j**6 + 0*j + 0 + 1/42*j**4 + 39*j**2 - 1/210*j**5 + 0*j**3. Factor y(g).
-2*g*(g - 1)*(g + 2)/7
Suppose 5*h - 6 - 61 = 4*z, z + h + 19 = 0. Let u be (-13)/(-2) + 27/z. Factor -u - 2*s**2 - 8 + 12*s - 5.
-2*(s - 3)**2
Let s(o) be the second derivative of -3/8*o**2 + 3/8*o**4 + 3/40*o**6 + 0*o**3 + 3/10*o**5 + 0 + 29*o. What is k in s(k) = 0?
-1, 1/3
Let d(o) = -2*o + 45. Let m be d(21). What is x in -2*x**2 + m + 4*x**2 - 15 + 2*x = 0?
-3, 2
Let j(z) be the second derivative of 4*z**5/5 + 3*z**4 + 9*z**3/2 + 22*z**2 + 42*z. Let p(r) be the first derivative of j(r). Factor p(h).
3*(4*h + 3)**2
Let t(w) be the third derivative of w**8/10080 - w**7/756 + w**6/360 + 4*w**5/15 + 16*w**2. Let p(c) be the third derivative of t(c). Let p(s) = 0. What is s?
1/3, 3
Suppose 1 = 10*q + 1. Suppose q