 b(q) = h*s(q) - 44*m(q). Factor b(x).
4*x**2*(x + 1)
Determine f so that 22*f**2 - 15*f - 5*f + 17*f - 8 - 37*f = 0.
-2/11, 2
Suppose 0 = f - 5*f - 5*l + 7, -2*f + 2 = 4*l. Factor -19 + 7 - t + 6*t + 15*t**2 - 5*t**4 + 2 - 5*t**f.
-5*(t - 1)**2*(t + 1)*(t + 2)
Let v(n) be the first derivative of 20*n**3/27 + 7*n**2/9 - 2*n/3 - 199. Factor v(u).
2*(u + 1)*(10*u - 3)/9
Let c be 1*((2 - 1) + 3). Suppose -z**4 - 5*z + 17*z + 6*z**2 - c*z**3 - 8*z - 5 = 0. Calculate z.
-5, -1, 1
Suppose 0 = -4*t - 2*p + 74, 0*p - 2*p = 2. Find h such that 24 + 84*h + 2*h**2 + 8*h**3 + t*h**3 - 104*h**2 = 0.
-2/9, 2
Suppose 6/5*y**2 + 100920 + 696*y = 0. What is y?
-290
Let c = -753/1078 - -15/98. Let z = 35/44 + c. Factor 0*s - 1/2*s**3 + 0*s**2 - z*s**4 + 0.
-s**3*(s + 2)/4
Let q = 102 - 100. Solve -8*j + 6*j**q - 4 + 6*j - 3*j**2 - j**2 = 0 for j.
-1, 2
Let d(s) be the first derivative of -s**7/2940 - 8*s**3/3 - 8. Let u(x) be the third derivative of d(x). What is m in u(m) = 0?
0
Let m(t) = t + 2*t**3 - 6*t - 3*t**3 + 6*t. Suppose -4*h + 5 = h. Let f(z) = -8*z**2 - 12*z - 4. Let b(o) = h*f(o) + 2*m(o). Factor b(v).
-2*(v + 1)**2*(v + 2)
Let s(n) be the third derivative of -2*n**7/105 + 23*n**6/30 - 56*n**5/5 + 160*n**4/3 + 1024*n**3/3 - 92*n**2. Factor s(j).
-4*(j - 8)**3*(j + 1)
Let i = 9671/3 + -3221. Factor -i*c - 1/3*c**2 - 16/3.
-(c + 4)**2/3
Let b(q) be the third derivative of -1/616*q**8 - 1/231*q**7 + 0*q**3 + 1/165*q**6 + 0*q + 2/165*q**5 + 0 + 0*q**4 - 15*q**2. Let b(o) = 0. Calculate o.
-2, -2/3, 0, 1
Let f be 7/(-1)*13/((-637)/28). Find w, given that -3/2*w + 1/8*w**f + 1/2 + 13/8*w**2 - 3/4*w**3 = 0.
1, 2
Let g(c) be the third derivative of 5*c**2 - 1/30*c**6 - 1/5*c**5 + 0*c + 2/105*c**7 + 1/6*c**4 + 4/3*c**3 + 0. Solve g(a) = 0 for a.
-1, 1, 2
Let x = 59/48 + -1/16. Let k(t) be the second derivative of 0 + 5/3*t**3 - x*t**4 + 2*t**2 + 4*t. Factor k(z).
-2*(z - 1)*(7*z + 2)
Factor 2/5 - 132/5*f**2 + 26*f.
-2*(f - 1)*(66*f + 1)/5
Let u(j) be the second derivative of -j**7/630 + j**6/45 + 5*j**4/4 + j. Let f(i) be the third derivative of u(i). Factor f(x).
-4*x*(x - 4)
Let v be (-9)/(-27) + 63/54. Factor 3/8*o**2 + v + 3/2*o.
3*(o + 2)**2/8
Let c(t) be the first derivative of t**6/36 - t**5/24 + 9*t**3 + 17. Let o(y) be the third derivative of c(y). Factor o(n).
5*n*(2*n - 1)
Let o be 4*1 + (-1)/2*0. Let n(k) be the third derivative of -1/4*k**3 - 1/12*k**o + 0*k + 0 - k**2 - 1/120*k**5. Factor n(i).
-(i + 1)*(i + 3)/2
Let a(n) be the second derivative of -n**4/12 - 5*n**3/3 - 8*n**2 + 66*n + 2. Factor a(u).
-(u + 2)*(u + 8)
Let k be (-2)/7*13 - (-238 - -234). Find s, given that 4/7*s**4 - 4/7*s**2 + 0 + 0*s**3 - 2/7*s**5 + k*s = 0.
-1, 0, 1
Let t = 6 - 1. Factor g**3 - 5 + 4 - 1 - 4*g**2 + t*g.
(g - 2)*(g - 1)**2
Let r(f) be the first derivative of 3/14*f**4 - 5 + 0*f + 20/21*f**3 - 2/35*f**5 + 0*f**2. Solve r(x) = 0.
-2, 0, 5
Let s(i) be the third derivative of i**5/120 - i**4/48 + i**2 - 3*i. Determine m, given that s(m) = 0.
0, 1
Let s(x) be the third derivative of -1/11*x**4 - 1/660*x**6 + 0*x + 35*x**2 - 24/11*x**3 + 0 + 1/33*x**5. Factor s(z).
-2*(z - 6)**2*(z + 2)/11
Suppose 2*a - 57 = -13*d, 7*a - 9*a + 21 = d. Solve -18/7*b**2 + 4/7*b + 6/7*b**d + 0 + 8/7*b**4 = 0 for b.
-2, 0, 1/4, 1
Let h(l) = -104*l**3 + 719*l**2 - 728*l + 180. Let y(o) = -207*o**3 + 1437*o**2 - 1454*o + 360. Let t(a) = 7*h(a) - 4*y(a). Determine i, given that t(i) = 0.
2/5, 3/4, 6
Let s(g) be the third derivative of -g**5/110 - 6*g**4/11 + 25*g**3/11 - 154*g**2 + 1. Suppose s(x) = 0. What is x?
-25, 1
Let a(p) be the first derivative of 2*p**4/5 - 11*p**3/15 + 2*p**2/5 + p - 5. Let r(n) be the first derivative of a(n). Factor r(k).
2*(3*k - 2)*(4*k - 1)/5
Let d(y) be the third derivative of -1/24*y**4 + 0 + 4/45*y**5 + 2/315*y**7 - 1/9*y**3 - 1/24*y**6 + 0*y - 12*y**2. Factor d(g).
(g - 2)*(g - 1)**2*(4*g + 1)/3
Factor 7*b**2 + 15/2 + 1/4*b**3 - 59/4*b.
(b - 1)**2*(b + 30)/4
Let b(s) be the first derivative of 40 + 0*s - 2/35*s**5 + 2/7*s**2 + 2/21*s**3 - 1/7*s**4. What is m in b(m) = 0?
-2, -1, 0, 1
Suppose 4*h = 5*c + 6*h - 10, 2*c - 2*h - 4 = 0. Factor 10 - x**2 - 8 - 4*x + 3*x**c.
2*(x - 1)**2
Let i(m) = 10*m**4 - 255*m**3 - 280*m**2 + 270*m + 260. Let l(t) = -5*t**4 + 128*t**3 + 140*t**2 - 134*t - 131. Let r(h) = 2*i(h) + 5*l(h). Factor r(g).
-5*(g - 27)*(g - 1)*(g + 1)**2
Let u(p) be the second derivative of 9*p**5/20 + 35*p**4/4 + 21*p**3/2 - 33*p**2/2 + 62*p. Solve u(t) = 0 for t.
-11, -1, 1/3
Suppose 128*o**2 + 9*o - 5*o - 288*o**3 + 119*o**3 - 251*o**3 = 0. Calculate o.
-1/35, 0, 1/3
Suppose 124 + 107 = 11*s. Factor s*l**4 + 4 - 9*l**2 - 2*l**3 + 3*l - 1 - 15*l**4 - l**3.
3*(l - 1)**2*(l + 1)*(2*l + 1)
Let a = 245 + -225. Suppose 617*v - a = 612*v. Suppose -3 - 1/3*b**v + 2/3*b**2 - 4/3*b**3 + 4*b = 0. Calculate b.
-3, 1
Let u(d) = -d**2 - 1. Let w(a) = 10*a + 1. Let v = 110 - 107. Let x(q) = v*u(q) + 3*w(q). Let x(t) = 0. What is t?
0, 10
Let p = 11079/4 + -2761. Let -20*w - 125/4*w**2 - 95/4*w**3 - p*w**4 - 5/4*w**5 - 5 = 0. What is w?
-2, -1
Let a = -19 + 19. Let r(c) be the third derivative of 1/150*c**5 + 2/15*c**3 + 1/20*c**4 - 6*c**2 + 0 + a*c. Factor r(z).
2*(z + 1)*(z + 2)/5
Let p(j) = 2*j**2 - 2*j - 19. Let t be p(-3). Factor -100 - 4*i**2 - 59*i - t*i + 24*i.
-4*(i + 5)**2
Let l be -2 - 1 - 20*(-6)/24. Let h(o) be the second derivative of 3*o + 0 - 1/6*o**l - 1/36*o**3 + 1/120*o**5 + 1/36*o**4. Suppose h(t) = 0. Calculate t.
-2, -1, 1
Let c be (-38 - -31)/((-35)/15). Factor 3/2*g**4 + 0*g - 6*g**2 + 0 - c*g**3 + 3/4*g**5.
3*g**2*(g - 2)*(g + 2)**2/4
Let i(w) be the third derivative of 7*w**6/360 - 127*w**5/90 + w**4 - 4*w**2 + 16*w. Solve i(r) = 0.
0, 2/7, 36
Let q(l) be the third derivative of -l**5/12 - 35*l**4/24 - 5*l**3 + 82*l**2. Factor q(y).
-5*(y + 1)*(y + 6)
Determine u, given that 2/7*u**5 + 12/7*u**4 - 24/7*u + 22/7*u**3 + 4/7*u**2 - 16/7 = 0.
-2, -1, 1
Factor -2/5*t + 0 - 11/5*t**2.
-t*(11*t + 2)/5
Let k(a) = 2*a**2 - 9*a - 452. Let j be k(-13). Factor 32/3*h + 38/3*h**j + 2/3*h**5 + 50/3*h**2 + 8/3 + 14/3*h**4.
2*(h + 1)**3*(h + 2)**2/3
Let 44*c - 3*c**4 - 12 - 48*c**2 - 4*c - c**4 + 24*c**3 = 0. Calculate c.
1, 3
Let u(y) be the third derivative of y**7/10 - 23*y**6/40 - 11*y**5/10 + 23*y**4/2 - 12*y**3 + 28*y**2 + 5*y. What is p in u(p) = 0?
-2, 2/7, 2, 3
Let j(m) be the third derivative of -1/140*m**7 - 15*m**2 + 1/40*m**6 - 1/16*m**4 + 0 - 1/4*m**3 - 1/224*m**8 + 1/20*m**5 + 0*m. Factor j(i).
-3*(i - 1)**2*(i + 1)**3/2
Let c(z) = 3*z**2 - 75*z - 180. Let d(j) = 3*j + 1. Let w(x) = -c(x) - 9*d(x). Factor w(h).
-3*(h - 19)*(h + 3)
Let k(q) be the third derivative of -1/12*q**5 - 5/8*q**4 - 5/3*q**3 + 0*q + 7*q**2 + 0. Solve k(a) = 0.
-2, -1
Let k(u) = -u**3 - 9*u**2 + 12. Let b be k(-9). Suppose b*v = -2*v + 28. Find s, given that 0*s + 0*s**v + 0 - 1/2*s**3 = 0.
0
Factor 3/4*m**2 - 171/4*m - 177/2.
3*(m - 59)*(m + 2)/4
Let r = -58 + 49. Let d(x) = 13*x**5 - 17*x**4 - 21*x**3. Let z(y) = -3*y**5 + 4*y**4 + 5*y**3. Let u(j) = r*z(j) - 2*d(j). What is s in u(s) = 0?
-1, 0, 3
Find d, given that 276*d**2 + 18157*d - 19 + 186*d**3 - 69*d**3 + 5*d**4 + 10*d**4 - 17977*d - 29 = 0.
-4, -2, 1/5
Solve -7/11*g**3 + 0 - 3/11*g**5 - 8/11*g**4 - 2/11*g**2 + 0*g = 0.
-1, -2/3, 0
Suppose 5*f - 3*u - 12 = -3, -2*f - 5*u = -16. Let p(t) be the first derivative of -7 + 1/8*t**4 - 1/2*t**f + 0*t + 1/2*t**2. Determine z so that p(z) = 0.
0, 1, 2
Let r(z) = z. Let d(x) = 2*x**2 - 3*x + 6. Let k = 10 - 17. Let l = -2 - k. Let v(b) = l*r(b) - d(b). Let v(c) = 0. Calculate c.
1, 3
Factor -5/8*p**2 - 11/4 + 57/8*p.
-(p - 11)*(5*p - 2)/8
Let h(x) = 10*x**5 + 45*x**4 + 140*x**3 + 155*x**2 + 60*x - 5. Let w(c) = c**5 + c**3 - 1. Let i(t) = h(t) - 5*w(t). Factor i(r).
5*r*(r + 1)**2*(r + 3)*(r + 4)
Let f be 65/(-75) + (-2)/4*-2. Factor -8/15*j + f*j**2 + 8/15.
2*(j - 2)**2/15
Let d(i) be the second derivative of -i**7/21 + 8*i**6/15 - 19*i**5/10 + 4*i**4/3 + 20*i**3/3 - 16*i**2 - 22*i. Solve d(c) = 0 for c.
-1, 1, 2, 4
Let o(v) = -v**2 + 5*v + 3*v + 0*v**2 + 7 - 4*v. Let a be o(5). Factor 0*c - c**2 + 4*c + 3 + a*c**2 + 0*c.
(c + 1)*(c + 3)
Let j(f) be the first derivative of -6 - 1/16*f**4 + 0*f**2 + 0*f + 1/4*f**3. Factor j(y).
-y**2*(y - 3)/4
Let s = 5134