)). Find p such that -8*p**d + 6*p**2 + 1 + p**2 = 0.
-1, 1
Find u such that -1/5*u**2 + 5*u + 26/5 = 0.
-1, 26
Let o(g) = g**2 + 13*g + 9. Let z be o(-14). Solve -z*a**4 + 15*a**4 + a**5 + 7*a**4 = 0.
0, 1
Let y(q) = -q + 6. Let g be y(2). Factor -3*i**4 - i**3 - 9*i**3 - 4*i**2 + 4*i + 7*i**g + 6*i**3.
4*i*(i - 1)**2*(i + 1)
Let i(y) be the first derivative of 2*y**5/35 + 19*y**4/14 + 32*y**3/7 - 4*y**2/7 - 128*y/7 + 259. Find o, given that i(o) = 0.
-16, -2, 1
Let f(c) be the second derivative of c**8/8400 + c**7/1400 - c**6/450 - c**5/50 + 19*c**3/6 - 37*c. Let m(p) be the second derivative of f(p). Factor m(y).
y*(y - 2)*(y + 2)*(y + 3)/5
Let w(y) be the second derivative of -y**5/50 + y**4/10 - 4*y. Determine u so that w(u) = 0.
0, 3
Let l be (25/(-15) + 0)*-3. Suppose -l = -w - 3. Factor 1/2*r - 3/4*r**w + 0 + 1/4*r**3.
r*(r - 2)*(r - 1)/4
Suppose -106 = -8*i - 58. Let z(g) be the first derivative of i - 1/12*g**3 - 1/2*g + 3/8*g**2. Determine n so that z(n) = 0.
1, 2
Suppose -42*z = -44*z. Let g(p) be the first derivative of -14/5*p**5 + 5/6*p**6 + 3 + 3*p**4 - 2/3*p**3 - 1/2*p**2 + z*p. Factor g(d).
d*(d - 1)**3*(5*d + 1)
Let y(i) be the first derivative of -3*i - 3/4*i**4 - 9/2*i**2 - 13 - 3*i**3. Suppose y(f) = 0. What is f?
-1
Let n(k) be the second derivative of -k**6/675 + 11*k**5/900 - k**4/30 + 23*k**3/6 + 20*k - 2. Let t(y) be the second derivative of n(y). Solve t(a) = 0 for a.
3/4, 2
Solve 11 + 41*t + 55*t + 136*t**2 + 454*t**3 - 466*t**3 - 11 = 0 for t.
-2/3, 0, 12
Solve -1/6*p**5 + 0 + 0*p**2 + 14/3*p**3 + 2*p**4 + 0*p = 0 for p.
-2, 0, 14
Suppose -2 = 5*p + 33. Let a = 10 + p. Factor -13 - 4*r + 5*r**2 - 3*r**3 + r**3 + a*r + 11.
-(r - 2)*(r - 1)*(2*r + 1)
Let v(m) be the second derivative of -1/63*m**7 - 15*m + 0 - 1/10*m**5 + 0*m**3 + 1/15*m**6 + 1/18*m**4 + 0*m**2. Factor v(a).
-2*a**2*(a - 1)**3/3
Let l(q) = -q**5 + 2*q**3 - q**2 - 1. Let r(k) = -4*k**5 + 7*k**3 - 3*k**2 - 3. Let x(u) = 15*l(u) - 5*r(u). Factor x(z).
5*z**3*(z - 1)*(z + 1)
Let p(c) be the second derivative of c**4/3 + 50*c**3/3 + 3*c - 3. Find h such that p(h) = 0.
-25, 0
Suppose 0 = 3*p - 21, -4*p + 773 = -a + 749. Let l = 146/3 - 157/6. Factor 0 + 0*q - 3/2*q**2 - l*q**a + 75/2*q**5 - 27/2*q**3.
3*q**2*(q - 1)*(5*q + 1)**2/2
Solve -18/5*z**2 + 6/5*z**4 + 21/5*z - 21/5*z**3 + 12/5 = 0 for z.
-1, -1/2, 1, 4
Let b(z) be the second derivative of 1/3*z**4 + 4/15*z**6 - 1/2*z**5 + 0*z**2 - 1/21*z**7 - 6*z + 0*z**3 + 0. Let b(k) = 0. Calculate k.
0, 1, 2
Let u be (32/(-12) - -2)/(4/(-30)). Suppose 0 = t - u + 5. Determine m, given that t - 2/5*m - 2/5*m**2 = 0.
-1, 0
Suppose 0 = 17*c - 13*c - 8. Solve c*a**4 - 217*a**3 + 218*a**3 + 0*a**5 + a**5 = 0 for a.
-1, 0
Let s = -13 + 3. Let j = s - -7. Let r(o) = -5*o**3 - 3. Let k(x) = 4*x**3 + 2. Let g(q) = j*k(q) - 2*r(q). Solve g(h) = 0 for h.
0
Suppose 520 = 19*t - 14*t. Let i = 211/2 - t. What is u in -i*u**5 + 6*u**3 - 9*u - 3 - 15/4*u**2 + 9/4*u**4 = 0?
-1, -1/2, 2
Let i be 9/(-5) - 1566/(-810). Solve i*j**3 - 4/15*j - 2/15*j**2 + 0 = 0.
-1, 0, 2
Solve 6*y**3 + 2218*y - 4*y**3 + 37*y**2 + 167*y**2 + 927*y + 2057*y = 0 for y.
-51, 0
Determine u, given that -1/2 + 107/4*u - 53/4*u**2 = 0.
1/53, 2
Let -120*t**2 - 3/2*t**3 + 0 - 2400*t = 0. What is t?
-40, 0
Suppose -4*j - j = -0*j. Let i(k) be the second derivative of -1/2*k**4 + 0*k**3 + 1/10*k**6 + 3/20*k**5 + j - 7*k + 0*k**2. Find g, given that i(g) = 0.
-2, 0, 1
Let p(c) be the second derivative of -5*c**4/12 + 5*c**3/3 + 15*c**2/2 + 77*c. Factor p(k).
-5*(k - 3)*(k + 1)
Let j(s) be the first derivative of -17*s**2 + 12 - 16/3*s**3 - 1/2*s**4 - 20*s. Factor j(i).
-2*(i + 1)*(i + 2)*(i + 5)
Let h(t) be the first derivative of t**6/27 - 16*t**5/45 - 19*t**4/18 - 20*t**3/27 - 28. Factor h(j).
2*j**2*(j - 10)*(j + 1)**2/9
Let s be (-106)/(-120) + (-90)/1080. Find k such that -s*k**2 + 4/5*k + 0 = 0.
0, 1
Determine t, given that -2/3*t**3 + 4/9*t**5 - 2/9*t**2 + 2/9*t + 2/9*t**4 + 0 = 0.
-1, 0, 1/2, 1
Let k(u) be the third derivative of u**5/6 + 13*u**4/3 + 20*u**3/3 + 90*u**2. Let k(s) = 0. Calculate s.
-10, -2/5
Let a(c) = 11*c + 2. Let i be a(2). Let k = i + -21. Factor -q**4 - 3*q**3 - q**2 - 3*q - q**2 + k*q.
-q**2*(q + 1)*(q + 2)
Let n(v) = 6*v - 102. Let i be n(17). Let l(a) be the second derivative of 0 + 0*a**2 + 0*a**4 - 1/30*a**6 + i*a**3 + 1/20*a**5 + a. Factor l(m).
-m**3*(m - 1)
Let c(m) be the second derivative of -m**6/120 + 9*m**5/40 + 2*m**3 - 21*m. Let f(d) be the second derivative of c(d). Determine b so that f(b) = 0.
0, 9
Let j(r) = -4*r. Let o(d) = -d - 1. Let f(t) = j(t) - 2*o(t). Let m be f(-3). Solve -2*k + 3*k**2 - m - 4*k + 11 = 0 for k.
1
Let t(x) be the first derivative of 1/10*x**4 - 8/15*x**3 - 4/5*x + x**2 + 7. Factor t(o).
2*(o - 2)*(o - 1)**2/5
Let q(n) = -7*n**5 - 3*n**4 + 3*n**3 - 5*n**2. Let c(s) = 5*s**5 + 4*s**4 - 5*s**3 + 5*s**2. Let a(b) = 4*c(b) + 3*q(b). Factor a(g).
-g**2*(g - 5)*(g - 1)**2
Factor 3/2*z**3 + 0*z**2 + 0 + 3/4*z**5 - 2*z**4 - 1/4*z.
z*(z - 1)**3*(3*z + 1)/4
Suppose x = 3*a + 10, -132*x + 134*x = -2*a + 4. Let t = 101/280 + -3/40. Let -t*h + 2/7*h**3 + 4/7 + 2/7*h**x - 6/7*h**2 = 0. Calculate h.
-2, -1, 1
Suppose 0 = -2*n + u + 11, 3*n - 2*u = 4*n + 7. Factor 223 + h**n - 223 + 3*h - 4*h**2.
h*(h - 3)*(h - 1)
Let i(h) be the third derivative of -h**8/448 - h**7/280 - 2*h**2 - 11*h. Suppose i(f) = 0. What is f?
-1, 0
Suppose 6*i - 937 = -907. Let q = 5 + -3. Find w, given that -w**5 - 18*w**2 + 9*w**4 - q*w**i + 0*w**5 + 6*w**2 = 0.
-1, 0, 2
Factor -1/3*b**3 + 2/3*b**2 + 3*b - 6.
-(b - 3)*(b - 2)*(b + 3)/3
Suppose -4927*a - 2 = -4929*a + 2*l, 4*l = -5*a + 59. Factor 0 + 1/2*y**5 + 42*y**2 + 61/2*y**3 + 18*y + a*y**4.
y*(y + 1)**2*(y + 6)**2/2
Let b be ((-6)/(-56))/(952/(-64) - -15). Let b*x + 0 + 3*x**2 = 0. What is x?
-2/7, 0
Factor 3*o**4 - 2 + 50*o**2 - 3*o**4 + 5*o**4 - 55*o**3 + 2.
5*o**2*(o - 10)*(o - 1)
Let n = 13 - 6. Let l(j) = n + 6*j**2 + 14*j**2 - 6*j - 7*j**2. Let i(q) = -4*q**2 + 2*q - 2. Let s(k) = 7*i(k) + 2*l(k). Suppose s(p) = 0. What is p?
0, 1
Let j = -3991 + 3991. Solve 4/3*x**3 + j + 8/3*x - 4*x**2 = 0.
0, 1, 2
Let w(x) be the third derivative of -x**7/1785 + x**6/102 - 23*x**5/510 + 7*x**4/102 + 491*x**2. Find b such that w(b) = 0.
0, 1, 2, 7
Let p(h) = 16*h**4 + 22*h**3 + 8*h**2 - 6*h. Let o(v) = 65*v**4 + 87*v**3 + 33*v**2 - 25*v. Let z(q) = 2*o(q) - 9*p(q). Factor z(f).
-2*f*(f + 1)**2*(7*f - 2)
Let d(s) be the first derivative of 2 - 1/60*s**5 + 0*s**3 + 0*s - 1/24*s**4 - 2*s**2. Let t(o) be the second derivative of d(o). Factor t(p).
-p*(p + 1)
Let d(x) be the first derivative of -x**4/12 + 14*x**3/9 - 65*x**2/6 + 100*x/3 + 216. Solve d(m) = 0 for m.
4, 5
Let o = 1 - -7. Suppose -o = 5*b - 18. Factor -5*j**4 - 5*j**3 + 2*j**4 + b*j**3.
-3*j**3*(j + 1)
Factor 27/2*h - 57/4 + 3/4*h**2.
3*(h - 1)*(h + 19)/4
Let j = 5301 + -5301. Suppose 0*k + 8/9*k**4 + j + 2/3*k**3 + 0*k**2 + 2/9*k**5 = 0. What is k?
-3, -1, 0
Let a(z) be the third derivative of -z**6/160 + z**5/30 + 5*z**4/32 + z**3/6 - 77*z**2. Solve a(y) = 0.
-1, -1/3, 4
Let i(t) be the second derivative of -t**8/3360 + t**7/720 - t**6/720 - t**5/240 + 5*t**4/12 + 7*t. Let m(y) be the third derivative of i(y). Factor m(w).
-(w - 1)**2*(4*w + 1)/2
Let z = 79/42 - 12/7. Let p(a) be the third derivative of z*a**3 + 1/210*a**7 - 7*a**2 + 0 + 1/60*a**6 - 1/30*a**5 - 1/336*a**8 - 1/24*a**4 + 0*a. Factor p(x).
-(x - 1)**3*(x + 1)**2
Solve -18/7*f**4 - 1034/7*f**2 - 1800/7*f - 648/7 + 300/7*f**3 = 0.
-2/3, 9
Let y(l) = 7*l**2 - 2*l + 2. Let o be y(1). Find k, given that 3*k - 15*k**2 + o*k - 1080*k**3 + 1085*k**3 = 0.
0, 1, 2
Let p = 0 - -2. Factor -2 - 2*r**p - 6*r + 13*r - 3*r.
-2*(r - 1)**2
Let s(g) = -g**4 - 2*g**2 - g + 1. Let b(n) = 18*n**5 - 154*n**4 + 458*n**3 - 540*n**2 + 234*n - 34. Let f(v) = b(v) + 2*s(v). Find r such that f(r) = 0.
1/3, 2, 4
Let u(x) = -23*x**2 - 82*x + 78. Let o(d) = -d**2 + d + 1. Let k(b) = 3*o(b) - u(b). Factor k(c).
5*(c + 5)*(4*c - 3)
Suppose -g - 1 = 0, -4*m - 4*g = -g - 5. Factor -1 + 6 + z**m - 6*z + 3.
(z - 4)*(z - 2)
Let h = 17040 - 17038. Factor -12/5 - 2/5*u**h + 2*u.
-2*(u - 3)*(u - 2)/5
Let s(b) = 9*b**3 - 106*b**2 + 3*b + 94. Let r(i) = 2*i**3 - 2*i**2 + i - 1. Let x(p) = 12*r(p) -