erivative of 3*h**5 + 0*h**2 - 3 + 0*h**n - 3/4*h**4 + 0*h. Solve m(u) = 0.
0, 1/5
Suppose -f + 101*h - 98*h - 9 = 0, 0 = f + 2*h - 6. Factor 1/2*u**3 + 4*u**2 + 8*u + f.
u*(u + 4)**2/2
Let v = -27879 - -111531/4. Determine b, given that -1/2 + v*b**5 - 13/4*b - 1/2*b**3 + 13/2*b**4 - 6*b**2 = 0.
-1, -2/5, -1/3, 1
Let c = -2260/33 + 2348/33. Factor c + 8*x - 36*x**3 + 54*x**4 - 18*x**2.
2*(3*x - 2)**2*(3*x + 1)**2/3
Let p(v) = -35*v**2 + 49*v + 30. Let z(l) = -35*l**2 + 48*l + 30. Suppose -6*y = -3*y - 3*x - 12, x - 14 = -2*y. Let t(j) = y*z(j) - 7*p(j). Factor t(i).
5*(i - 2)*(7*i + 3)
Let d(p) be the second derivative of -p**5/15 + 2*p**4/3 - 2*p**3 + 8*p**2/3 - 11*p. Solve d(i) = 0.
1, 4
Factor -85/3*m + 0 + 5/3*m**2.
5*m*(m - 17)/3
Suppose -25*n + 23*n + 2 = 0, 2 = -o + 5*n. Factor 6/13*q + 2/13*q**o + 0 + 8/13*q**2.
2*q*(q + 1)*(q + 3)/13
Let m(v) be the first derivative of -v**4/4 - 4*v**3 - 27*v**2/2 + 40*v + 242. Factor m(x).
-(x - 1)*(x + 5)*(x + 8)
Let p(l) be the first derivative of -4*l + 5/2*l**2 + 1 - 1/3*l**3. Let p(q) = 0. Calculate q.
1, 4
Let v be 3 + 4*3602/60. Let f = v - 243. Factor -4/3*d**2 + 8/15*d**4 + f*d**5 - 8/15*d + 16/15 + 2/15*d**3.
2*(d - 1)**2*(d + 2)**3/15
Let b = -34 - -37. Factor 11*y**2 - b + 0*y + 9*y + 2*y**2 - y**2.
3*(y + 1)*(4*y - 1)
Let x(m) = -m**3 - 10*m**2 + 10*m - 1. Let n be x(-11). Suppose -2 = -4*k + n. Find f such that 5 - 3 - k*f**4 - 4 - 3*f**5 - 3*f + 6*f**2 + 6*f**3 - 1 = 0.
-1, 1
Suppose -3*r - 29 = -47. Let w(a) be the third derivative of -8/3*a**4 + 7/30*a**r + 0 - 8/3*a**3 - 1/3*a**5 + 0*a - a**2. Solve w(z) = 0 for z.
-1, -2/7, 2
Let l = 38 + -455/12. Let a(f) be the second derivative of 1/6*f**3 + 0*f**2 - 5*f - l*f**4 + 0. Determine z so that a(z) = 0.
0, 1
Let i = 84847/5 + -16969. Determine z, given that 16/5 + 28/5*z + 14/5*z**2 + i*z**3 = 0.
-4, -2, -1
Determine p, given that -2*p**2 - 4/3*p**3 + 8/3 + 2/3*p**4 + 8/3*p = 0.
-1, 2
Factor -68 - 932*u - 4868*u - 57 - 26680*u**3 - 2895*u**2 - 65535*u**2 - 2645*u**4.
-5*(u + 5)**2*(23*u + 1)**2
Let i(h) be the second derivative of h**4/108 - 13*h**3/54 + 5*h**2/3 - 79*h. Let i(b) = 0. What is b?
3, 10
Let b(m) be the second derivative of 0*m**4 - 1/70*m**5 + 1/21*m**3 + 29*m + 0 + 0*m**2. Factor b(w).
-2*w*(w - 1)*(w + 1)/7
Solve -1077*k**2 + 120 + 200*k + 47 - 18*k**2 - 42 + 410*k**3 - 40*k**4 = 0 for k.
-1/4, 1/2, 5
Let b(v) = -3*v**2 - 72*v - 1294. Let x(z) = 16*z**2 + 360*z + 6469. Let l(k) = -22*b(k) - 4*x(k). Suppose l(c) = 0. What is c?
-36
Let g(u) = -u**4 + 2*u**2 - 4. Let b(r) be the third derivative of -r**7/105 + r**5/15 - 7*r**3/6 - 12*r**2. Let m(p) = -3*b(p) + 5*g(p). Factor m(d).
(d - 1)**2*(d + 1)**2
Let j(z) be the third derivative of -z**7/105 - z**6/60 + z**5/3 - 2*z**4/3 - 921*z**2. What is l in j(l) = 0?
-4, 0, 1, 2
Factor -1/5*x**2 + 22/5 + 21/5*x.
-(x - 22)*(x + 1)/5
Let z(v) be the first derivative of 2*v**3/3 - 18*v**2 + 162*v + 65. Find y, given that z(y) = 0.
9
Let a(s) = s - 6. Let c be a(9). Let x(w) be the second derivative of -1/24*w**4 + 1/60*w**6 + 0*w**2 - 1/12*w**c + 0 + 1/40*w**5 - 2*w. Factor x(o).
o*(o - 1)*(o + 1)**2/2
Let d(m) be the first derivative of -7 + 1/3*m**2 + 1/9*m**3 + 0*m - 1/12*m**4. Let d(j) = 0. Calculate j.
-1, 0, 2
Factor -1/3*c**2 - 7/3 + 8/3*c.
-(c - 7)*(c - 1)/3
Let j be (6/15*2)/((-2)/235). Let o = -94 - j. Factor o*h**3 + 2/7*h**2 + 0*h - 2/7*h**4 + 0.
-2*h**2*(h - 1)*(h + 1)/7
Let z = 409 - 404. Let u(c) be the first derivative of -6/7*c**2 + 4/21*c**3 + z + 0*c. Solve u(w) = 0.
0, 3
Let q = 88 + -49. Factor 39 - q - 3*y + 6*y**2.
3*y*(2*y - 1)
Factor 16/7 + 2/7*b**2 + 12/7*b.
2*(b + 2)*(b + 4)/7
Factor 49*v**2 - 7*v - 78*v**2 + 50 + 34*v**2 - 28*v.
5*(v - 5)*(v - 2)
Suppose 0 = -p + 2*w + 318, -p + 0*p + 3*w = -322. Factor p*s**3 - 4*s**2 + 4*s - 157*s**3 - 152*s**3.
s*(s - 2)**2
Let o(n) = -10*n**3 + 85*n**2 + 15*n. Let a(w) = w**3 - w. Let p(k) = 15*a(k) + o(k). Find t, given that p(t) = 0.
-17, 0
Let u(b) = b - 12. Let d be u(13). Let j(f) be the first derivative of 0*f**2 + 0*f - d + 1/7*f**4 - 2/21*f**3. Factor j(l).
2*l**2*(2*l - 1)/7
Let k(n) be the second derivative of n**4/12 + 4*n**3/3 + 8*n**2 - 2*n + 2. Find b such that k(b) = 0.
-4
Let v(n) be the second derivative of -n**5/120 - n**4/6 - 4*n**3/3 + 5*n**2/2 - 9*n. Let p(d) be the first derivative of v(d). Find c, given that p(c) = 0.
-4
Let j(z) be the first derivative of 0*z + 5/3*z**3 + 0*z**2 - 9. Find n, given that j(n) = 0.
0
Let n(z) be the second derivative of -6*z**5/5 - 29*z**4/3 - 38*z**3/3 + 8*z**2 - 584*z. Suppose n(p) = 0. Calculate p.
-4, -1, 1/6
Let y(d) be the second derivative of -1/42*d**4 + d - 2/21*d**3 + 15 + 0*d**2 + 1/70*d**5. Solve y(f) = 0 for f.
-1, 0, 2
Let f(y) be the second derivative of -y**4/28 + 11*y**3/14 - 27*y**2/7 - 334*y. Solve f(q) = 0 for q.
2, 9
Let g = 46 - 33. Let p(a) = -4*a**3 + a**2 + a + 9. Let r be ((-162)/(-36))/(3/4). Let y(i) = 2*i**3 - 4. Let s(n) = g*y(n) + r*p(n). Factor s(d).
2*(d + 1)**3
Suppose -9*b + 5*b = 5*g - 561, -4*b - 4*g + 564 = 0. Let f be (1/9)/(32/b). Solve 0*c - 3/2*c**3 + 0 - 1/2*c**5 + 3/2*c**4 + f*c**2 = 0 for c.
0, 1
Let c(n) = 3*n**2 + 28*n - 7. Let z(m) = 10*m**2 + 84*m - 22. Suppose -17*o = 52 + 84. Let f(u) = o*c(u) + 3*z(u). What is l in f(l) = 0?
-5, 1/3
Factor 4*a + 1/3*a**3 + 13/3*a**2 + 0.
a*(a + 1)*(a + 12)/3
Solve 121*c**3 + 48*c + 0 - 89*c**2 - 6 + 29*c**2 + 2 - 105*c**2 = 0 for c.
2/11, 1
Let o(y) be the first derivative of 2*y**6/3 + y**5 + y**4/4 - 80. Factor o(j).
j**3*(j + 1)*(4*j + 1)
Let -120 - 109*t + 365*t + 0*t**2 - 4*t**2 - 132 = 0. What is t?
1, 63
Suppose -12/5*v - 4/5*v**3 - 36/5 + 4*v**2 = 0. What is v?
-1, 3
Factor -3*p + 12*p**4 - 43921*p**3 - 12*p**2 + 2*p + 43918*p**3 + 4*p.
3*p*(p - 1)*(p + 1)*(4*p - 1)
Let n(s) be the first derivative of 3*s**4/20 - s**3 - 12*s**2/5 + 144*s/5 - 104. Solve n(w) = 0 for w.
-3, 4
Let v(r) be the third derivative of r**7/42 - r**6/12 - r**5 + 5*r**4/3 + 80*r**3/3 - 6*r**2 - 7*r. Factor v(b).
5*(b - 4)*(b - 2)*(b + 2)**2
Let y be 6/4 + (-4293)/(-18). Let p be 1*((-32)/y + 1/3). Factor 0*j + 0 + p*j**2.
j**2/5
Find t such that -2400/7*t - 388/7*t**2 - 576/7 - 16/7*t**3 = 0.
-12, -1/4
Let s(l) be the second derivative of -l**5/5 + l**4 + 2*l**3/3 - 6*l**2 - 189*l - 1. Find h, given that s(h) = 0.
-1, 1, 3
Let p(i) be the first derivative of i**6/33 + 2*i**5/11 + 4*i**4/11 + 8*i**3/33 - 12. Find r such that p(r) = 0.
-2, -1, 0
Suppose 2*n + 160 = 3*d, n + 2*n - 202 = -4*d. Let -5*q**2 - d*q + 79*q**2 - 36*q**3 + 8 + 6*q**2 = 0. What is q?
2/9, 1
Let d = 6121/7410 - -9/1235. Factor -25/6*m**2 - 20/3*m - d*m**3 - 10/3.
-5*(m + 1)*(m + 2)**2/6
Let y be 6/(-4)*(-7 + -1)*(-11)/(-726). Let 0*h**3 + 0*h + 10/11*h**4 + 0*h**2 + 0 + y*h**5 = 0. What is h?
-5, 0
Let q(o) be the second derivative of -o**6/1440 - o**5/480 + o**4/48 + 5*o**3/3 - 10*o. Let y(x) be the second derivative of q(x). Solve y(v) = 0 for v.
-2, 1
Let r be (5 - 2440/135) + 13 + 364/54. Determine i so that 16/3*i - r + 4/3*i**2 = 0.
-5, 1
Let l be 2/1 + (-1)/(-1). Suppose 0 = 5*m - 50 - 240. Find o such that -2*o**5 + 4*o**l - m*o**4 - 4*o**2 + 0 - 2*o + 2 + 60*o**4 = 0.
-1, 1
Let n(t) = -2*t**3 - 147*t**2 + 70*t - 294. Let g be n(-74). Suppose -2 - 3/2*x + 1/2*x**g = 0. What is x?
-1, 4
Let s be (-1 - 4/(-4))/(-3). Suppose z + 2*z = s. Factor i**2 - 1 + z + 6*i - 3*i - 3.
(i - 1)*(i + 4)
Let 0*t - 1/7*t**4 + 1/7*t**5 + 0*t**2 - 2/7*t**3 + 0 = 0. Calculate t.
-1, 0, 2
Let f be (-70)/665 - 279/(-1026). Factor 5/6*h**2 + f*h + 2/3*h**3 + 0.
h*(h + 1)*(4*h + 1)/6
Let q be (0*(-6)/48)/(1 + 2). Let f(j) be the second derivative of -1/36*j**4 + q - 5*j + 0*j**3 - 1/60*j**5 + 0*j**2 + 1/90*j**6 + 1/126*j**7. Factor f(y).
y**2*(y - 1)*(y + 1)**2/3
Let r(f) be the third derivative of -1/180*f**5 + 1/72*f**4 + 1/9*f**3 + 0 - 10*f**2 + 0*f. What is q in r(q) = 0?
-1, 2
Let n(u) = -u + 7. Let q be n(3). Let h(o) = 2*o + 1. Let z be h(2). Determine f, given that 3*f**z + f**4 - 3*f**3 - q*f**5 - 2*f**4 + 5*f**3 = 0.
-2, 0, 1
Let v = -1007217/28 + 35963. Let l = -51/7 - v. Factor -l*c**2 + 0 - 1/2*c.
-c*(7*c + 2)/4
Let y(u) = -u**2 + u + 1. Let d(f) = 2*f**2 - 2*f - 1. Let g(l) = 3*l + 10. Let j be g(-3). Let a(q) = j*d(q) + y