 3*h**2 + 0*h**5 + j*h**4 + 0*h**3 + 0*h + 0 + 1/45*h**7. Find v, given that m(v) = 0.
-2/7, 0
Let x(v) be the first derivative of -14/3*v**3 + 9/2*v**4 - 2*v**5 + 0*v + 2*v**2 + 1/3*v**6 + 18. Let x(d) = 0. What is d?
0, 1, 2
Let k be 150/36 + 2/(-12). Factor -17*x**4 + 68*x**5 - 13*x**k + 5*x**3 - 23*x**5.
5*x**3*(3*x - 1)**2
Let s(i) = -i**2 - 28*i - 129. Let o be s(-6). Solve -2/5*v**2 + 2/5*v + 0 - 4/5*v**o = 0.
-1, 0, 1/2
Suppose 10*w - 24 = 6*w. Let k(v) be the second derivative of 0 + 0*v**2 - 1/54*v**4 + 1/27*v**3 + 4*v - 1/30*v**5 + 1/27*v**w - 2/189*v**7. Factor k(l).
-2*l*(l - 1)**3*(2*l + 1)/9
Let n be (0 - (-6)/(-32))*18/108. Let y = n + 25/32. Factor -1/2*c**3 + y*c**2 - 1 - 1/4*c**4 + c.
-(c - 1)**2*(c + 2)**2/4
Suppose -2*y - y + 28 = -4*u, -2*y - u = -15. Factor -8*j**4 + j**3 - 3*j**5 - j**5 + y*j**3 + 3*j**3.
-4*j**3*(j - 1)*(j + 3)
Solve 2/11*g**5 + 4/11*g**4 + 0*g**3 + 0 - 4/11*g**2 - 2/11*g = 0.
-1, 0, 1
Let t(n) = 10*n**2 - 15*n + 15. Let c(j) = j**2 + 1. Suppose -15*y + 1 = -14*y. Let g(f) = y*t(f) - 5*c(f). Factor g(o).
5*(o - 2)*(o - 1)
Suppose -3*a + 0*a = -5*u - 14, -6 = -2*a + 5*u. Factor 0 + 0 + a*c**2 - 5*c**2.
3*c**2
Let u(m) be the second derivative of 0 - 1/15*m**3 - 3/100*m**5 + 1/210*m**7 - 1/12*m**4 + 1/150*m**6 + 0*m**2 - 10*m. What is w in u(w) = 0?
-1, 0, 2
Let z(w) be the first derivative of -w**6/120 - w**5/12 - w**4/8 + 3*w**3/2 + 7*w**2 - 1. Let v(x) be the second derivative of z(x). What is o in v(o) = 0?
-3, 1
Let m(b) = -212*b**2 + 144*b - 24. Let i(r) = -203*r**2 + 145*r - 25. Let t(o) = -8*i(o) + 7*m(o). Factor t(s).
4*(5*s - 4)*(7*s - 2)
Let n(o) be the first derivative of -o**3 + o**2/2 + 9. Let z(f) = -f**2. Let i(y) = -4*n(y) + 14*z(y). Determine u so that i(u) = 0.
-2, 0
Let d(z) = z**5 + z**4 + z**3 + z + 1. Let a(y) = 6*y**5 + 15*y**4 - 3*y**3 - 36*y**2 + 30*y + 3. Let w(k) = -a(k) + 3*d(k). Factor w(q).
-3*q*(q - 1)**2*(q + 3)**2
Let i(c) be the first derivative of -2*c**5/55 - c**4/22 + 2*c**3/33 + c**2/11 - 65. Factor i(w).
-2*w*(w - 1)*(w + 1)**2/11
Let o(z) be the third derivative of 2*z**7/945 - z**6/90 - z**5/45 + 7*z**4/54 + 4*z**3/9 + 8*z**2. Factor o(h).
4*(h - 3)*(h - 2)*(h + 1)**2/9
Let q(i) be the third derivative of i**5/150 + 3*i**4/20 + 8*i**3/15 - 75*i**2 + i. Factor q(u).
2*(u + 1)*(u + 8)/5
Let s(j) = 7*j**2 + 7*j - 3. Let y = -12 - -14. Let g(n) = -3*n + 2*n**y + n + 1 - 4*n**2. Let i(v) = -22*g(v) - 6*s(v). Factor i(d).
2*(d - 1)*(d + 2)
Let a = -14 + 17. Factor -121 + 5*y + 121 - 15*y**a + 10*y**4.
5*y*(y - 1)**2*(2*y + 1)
Let h(n) be the third derivative of -n**6/60 + 41*n**5/2 - 42025*n**4/4 + 8615125*n**3/3 - 774*n**2. Factor h(u).
-2*(u - 205)**3
Let q(c) = -c**4 + 22*c**3 + 18*c**2 - 48*c + 24. Let h(k) = k**4 - 34*k**3 - 27*k**2 + 72*k - 36. Let g(p) = 5*h(p) + 8*q(p). Factor g(b).
-3*(b - 2)*(b - 1)**2*(b + 2)
Let u(m) = -13*m + 117. Let v be u(9). Let f(n) be the first derivative of v*n + 2/3*n**3 - 2*n**2 - 5. Let f(g) = 0. Calculate g.
0, 2
Let u(q) = q**3 - 2*q**2 + 1. Let f(a) = a**3 - 22*a**2 + 24*a - 3. Let o(g) = -f(g) - 3*u(g). Determine b so that o(b) = 0.
0, 1, 6
Let p be -2 + (1 - (-18)/14). Suppose f + 7 = 17*y - 13*y, 2*y - 4*f + 14 = 0. Suppose -2/7*b - 2/7 + 2/7*b**2 + p*b**y = 0. Calculate b.
-1, 1
Let y be 1 + 7836/(-252) + 0 + 0. Let w = y + 92/3. Factor 6/7 - 2/7*z**2 - w*z.
-2*(z - 1)*(z + 3)/7
Let s(d) be the second derivative of 11*d**6/90 - 23*d**5/30 - 47*d**4/36 + 5*d**3/9 + 2*d - 36. Factor s(j).
j*(j - 5)*(j + 1)*(11*j - 2)/3
Let k(q) be the third derivative of -q**6/900 - q**5/300 + q**4/30 + 17*q**3/6 + 11*q**2. Let v(t) be the first derivative of k(t). Factor v(c).
-2*(c - 1)*(c + 2)/5
Let s be 12/(-42) + (-174)/(-21). Suppose -22*y + s*y = 0. Factor 3*x**4 + 3/2*x**5 - 3/2*x - 3*x**2 + y + 0*x**3.
3*x*(x - 1)*(x + 1)**3/2
Let r(v) = 12*v - 46. Let k be r(4). Suppose x = 5, k*h + x - 15 = -2*x. Factor -2/3*q**3 + 0*q**2 + 0 + h*q - 2/3*q**4.
-2*q**3*(q + 1)/3
Let h be (-144)/(-8)*(1/(-1))/(-2). Solve -h*q - 2*q**2 - q + 15 - 8*q**2 + 5*q**2 = 0 for q.
-3, 1
Let r(p) = 3*p**2 - 4*p - 24. Let w be r(-10). What is d in -106*d**2 - 1815*d - 321*d**3 + w*d**3 - 6655 - 59*d**2 = 0?
-11
Factor -4*t**3 - 14*t**2 - 24*t + 42*t**2 - 4*t**3 + 4*t**3.
-4*t*(t - 6)*(t - 1)
Suppose -t - 4 = -3*d - 3, 5*t = 3*d - 5. What is q in d + 3*q**4 - 65*q**3 - 2 + 76*q**3 + q + 11*q**2 = 0?
-2, -1, 1/3
Let q(p) be the first derivative of p**3/12 - 3*p**2/8 + p/2 - 104. Factor q(t).
(t - 2)*(t - 1)/4
Let n(z) be the first derivative of 28*z**2 + 2*z + 16*z**3 - 20*z**2 - 2*z + 38 + 9*z**4. Factor n(x).
4*x*(3*x + 2)**2
Let q(t) be the first derivative of -t**6/15 + t**4/2 + 2*t**3/3 - 10*t - 5. Let h(r) be the first derivative of q(r). Factor h(y).
-2*y*(y - 2)*(y + 1)**2
Let s be (-2)/((10/120)/((-3)/63)). Find v, given that 24/7*v + 6/7*v**4 - s - 34/7*v**3 + 2/7*v**2 + 10/7*v**5 = 0.
-2, -1, 2/5, 1
Factor 9/5*l + 1/5*l**2 + 0.
l*(l + 9)/5
Suppose -2*n = -4*v + 14, -v = 3*v - 4*n - 16. Let l = -8 + 10. Factor -2*a**3 + 3*a**2 + 3*a**l - 6*a**4 + 2*a**3 - 3*a**v + 3*a.
-3*a*(a - 1)*(a + 1)*(2*a + 1)
Let 2288/7*i + 200/7*i**2 + 4/7*i**3 - 5408/7 = 0. Calculate i.
-26, 2
Determine n, given that 6*n**3 + 5*n + 10*n**4 - 8*n**3 - 20*n**2 + 12 + 12*n**3 - 5*n**5 - 10*n - 2 = 0.
-1, 1, 2
Determine p, given that -108*p + p**2 + 233*p - 91*p = 0.
-34, 0
Let z(x) be the second derivative of -3/7*x**7 + 0*x**3 + 0 + 13/10*x**6 + 19*x + 0*x**2 - 6/5*x**5 + 1/4*x**4. Find u, given that z(u) = 0.
0, 1/6, 1
Let w(p) be the first derivative of 5*p**4/4 - 5*p**3 + 20*p - 144. Solve w(o) = 0.
-1, 2
Let l = 22 - 11. Factor -l - 9 - 8*i**2 - 2*i**3 - 3*i**3 + 23*i**2.
-5*(i - 2)**2*(i + 1)
Let m(b) be the second derivative of -7*b**4/20 - 15*b**3/2 - 102*b**2/5 - 144*b. Factor m(t).
-3*(t + 1)*(7*t + 68)/5
Let v = -5755/6 - -1919/2. Suppose -v - 3/2*t + 17/6*t**2 - t**3 = 0. Calculate t.
-1/6, 1, 2
Let v = 25 - 22. Factor v*d**2 + d - 5*d**2 - 4*d**3 + d**2 + 3*d**3 + d**4.
d*(d - 1)**2*(d + 1)
Let d be ((-68)/12 - 5)*3. Let h = -32 - d. Factor 0 + 4/5*l + h*l**2 - 4/5*l**3.
-4*l*(l - 1)*(l + 1)/5
Let z(d) be the second derivative of d**4/3 - 22*d**3/3 + 36*d**2 - 68*d. Determine y so that z(y) = 0.
2, 9
Let r = 66 - 64. Factor 6*b**2 - 9*b**2 - 20*b + 50 + 5*b**r.
2*(b - 5)**2
Let k be (-9)/(378/15) + (-9)/(-6). Let j(u) be the first derivative of 10/21*u**3 - k*u - 3 - 4/7*u**2 + 3/14*u**4. Determine m, given that j(m) = 0.
-2, -2/3, 1
Suppose 3*n - 3477 = -5*l + 375, -20 = -5*n. Factor -288*z - 3/2*z**3 + l + 36*z**2.
-3*(z - 8)**3/2
Let k be -5*(-16)/((-4480)/(-24)). Find q, given that k*q + 6/7*q**2 - 9/7 = 0.
-3/2, 1
Let w(a) = a + 6. Let r be w(-2). Find g such that r*g**3 - 2*g**4 - 8*g + 0*g**3 + 8 - 7*g**4 + 11*g**4 - 6*g**2 = 0.
-2, 1
Let w = -10 - -3. Let o = -3 - w. Suppose -4*u**5 - 8*u**5 + 10*u**5 - 4*u**4 + o*u**2 + 2*u = 0. What is u?
-1, 0, 1
Let y(t) be the third derivative of 1/180*t**5 - 1/36*t**4 + 32*t**2 + 0*t + 1/18*t**3 + 0. Factor y(i).
(i - 1)**2/3
Suppose -2*o + 4*o = 4. Suppose 0*s + 5*z + 10 = -5*s, -z = 5*s + o. Suppose s + 0*b**2 - 1/2*b**4 + 0*b + 0*b**3 = 0. What is b?
0
Let v(o) be the first derivative of -o**6/8 - 9*o**5/20 + 9*o**4/16 + 7*o**3/4 - 9*o**2/4 - 84. Determine b, given that v(b) = 0.
-3, -2, 0, 1
Let q(i) be the third derivative of -i**5/72 + 7*i**4/36 - 5*i**3/12 - 2*i**2 + 6. Suppose q(a) = 0. What is a?
3/5, 5
Factor -27*n**2 + n**5 + 8*n**4 - 31*n**2 + 16*n**3 + 58*n**2.
n**3*(n + 4)**2
Let q(x) be the first derivative of 5*x**6/6 + 9*x**5 + 155*x**4/4 + 85*x**3 + 100*x**2 + 60*x + 112. Find j, given that q(j) = 0.
-3, -2, -1
Let x(f) = f**2 - 2*f - 3. Let p be x(4). Suppose t + 7 - 1 = 3*v, p*v + 2*t - 21 = 0. Factor 96/7*g + 16*g**2 + 2/7*g**5 + 18/7*g**4 + 64/7*g**v + 32/7.
2*(g + 1)*(g + 2)**4/7
Let m be (0 + 96/126)*9/4. Determine y so that -12/7*y**2 + 0 - 4/7*y - 4/7*y**4 - m*y**3 = 0.
-1, 0
Let h(t) be the second derivative of t**5/60 + 7*t**4/36 + t**3/3 - 530*t. Factor h(k).
k*(k + 1)*(k + 6)/3
Let h be -4 + (12 + (-608)/40)/((-4)/10). Let t be (-7)/(-20) - 1/(-4). Determine b so that -t*b**2 - 9/5*b**3 - 3/5*b**5 + 0*b + 0 - 9/5*b**h = 0.
-1, 0
Suppose -281*w - 16 - 16 = -297*w. Solve 0 - 3*t - 3/4*t*