+ 3*p**m = 0.
-1, -1/4, 0
Let b(h) be the first derivative of 13 - 28/3*h**6 + 16*h + 98*h**4 - 202/3*h**3 - 18*h**2 - 114/5*h**5. Find y such that b(y) = 0.
-4, -2/7, 1/4, 1
Let x(q) be the second derivative of -q**4/138 - 2*q**3/23 - 9*q**2/23 - 68*q - 1. Solve x(h) = 0.
-3
Suppose x + 8 = 2*b, -30*x + 27*x + 9 = 5*b. Let a(j) be the second derivative of 1/6*j**4 + 9/70*j**5 + 0*j**2 + 0 - 2/21*j**3 - b*j. Factor a(i).
2*i*(i + 1)*(9*i - 2)/7
Let q(o) = o**3 - 13*o**2 + 21*o + 14. Let n be q(11). Factor -16/9 - 4/9*b**n - 32/9*b - 20/9*b**2.
-4*(b + 1)*(b + 2)**2/9
Determine n, given that 26/3*n + 4 + 10/3*n**2 = 0.
-2, -3/5
Let l(i) be the first derivative of i**6/2 + 18*i**5/5 + 3*i**4 - 6*i**3 - 15*i**2/2 + 219. Factor l(f).
3*f*(f - 1)*(f + 1)**2*(f + 5)
Let f = -50 - -55. What is m in 75*m**5 + 32*m**4 + 8*m**4 - 16*m - 63*m**f - 16*m**2 + 28*m**3 = 0?
-2, -1, 0, 2/3
Suppose 9*d - 20 = 4*d. Factor -4 - 6*l**3 + 46*l - 13*l**2 + 2*l**4 - 58*l - 3*l**d.
-(l + 1)**2*(l + 2)**2
Let p(s) be the second derivative of -5*s**7/42 + s**6/2 - s**5/2 + s + 89. Find g, given that p(g) = 0.
0, 1, 2
Let z(t) = 2*t**2 - 2*t - 4. Let q(g) = -g**2 - g. Suppose 4*h - 9 - 11 = 0. Let f(p) = h*q(p) + 5*z(p). What is i in f(i) = 0?
-1, 4
Let w(g) = -5*g + 2*g**3 + 6*g - 3*g**3. Let u(h) = 20*h**3 + 6*h**2 - 26*h. Let q(s) = -2*u(s) - 44*w(s). Let q(z) = 0. What is z?
0, 1, 2
Let n(m) be the second derivative of m**5/5 - m**3/2 + 3*m**2/2 + 2*m. Let h be (4/6 - 1)*9. Let l(t) = -t**3 + t - 1. Let w(f) = h*l(f) - n(f). Factor w(v).
-v**3
Suppose 19*w = 85 - 9. Let x(a) be the first derivative of -6/5*a + 9 - 2*a**3 - 1/2*a**6 + 36/25*a**5 - 3/5*a**w + 27/10*a**2. Determine s so that x(s) = 0.
-1, 2/5, 1
Factor 8*b - 4*b**4 - 2*b**2 - 30*b**3 + 6*b**2 + 0*b + 22*b**3.
-4*b*(b - 1)*(b + 1)*(b + 2)
Suppose 0*o - 3*o = 4*z - 6, 0 = 3*o + z - 6. Factor -94*u**o - 64*u**4 - 160*u**3 - 38*u**2 - 40*u + 4*u.
-4*u*(u + 1)*(4*u + 3)**2
Let h(y) be the second derivative of -y**5/50 + y**4/15 + y**3/15 - 2*y**2/5 + 13*y - 4. Determine g so that h(g) = 0.
-1, 1, 2
Suppose -4*z - 39 = -17*z. Let p(k) be the second derivative of -1/30*k**4 + 0 + 1/25*k**5 - 1/75*k**6 + 0*k**2 + 0*k**z + 9*k. Let p(u) = 0. Calculate u.
0, 1
Let k(q) = 11*q + 2. Let y be k(-1). Let d be 350/2475 - 2/y. Suppose -d*n**2 + 4/11 - 10/11*n + 10/11*n**3 = 0. What is n?
-1, 2/5, 1
Find k, given that -10/11*k - 2/11*k**2 + 28/11 = 0.
-7, 2
Let q(x) be the second derivative of -3*x**5/160 + 3*x**3/4 + 3*x**2 - 106*x. Factor q(y).
-3*(y - 4)*(y + 2)**2/8
Find x such that 36 + 51*x + 3/2*x**3 + 33/2*x**2 = 0.
-6, -4, -1
Let d be (15/3)/(5/50*25). Find i, given that 25/3*i**d + 16/3 - 40/3*i = 0.
4/5
Let w(y) be the first derivative of -49*y**4/38 + 434*y**3/57 + 136*y**2/19 + 40*y/19 - 269. Let w(o) = 0. Calculate o.
-2/7, 5
Let y(w) = -12*w**3 + 39*w**2 - 133*w + 107. Let a(d) = -4*d**3 + 12*d**2 - 44*d + 36. Let f(g) = -11*a(g) + 4*y(g). Determine k, given that f(k) = 0.
2
Let g(f) = -f**3 + 28*f**2 + 81*f + 375. Let z be g(31). Factor 0*j + 0*j**2 + 3/2*j**4 + 0 + 0*j**z.
3*j**4/2
Solve -13 + d**2 + 34*d**2 - 305*d + 88 - 15*d**2 = 0 for d.
1/4, 15
Let c(t) = 7*t**2 - 7*t - 12. Let o(b) = b**2 - b - 1. Suppose 89 - 93 = -2*v. Let z(r) = v*o(r) - c(r). Factor z(u).
-5*(u - 2)*(u + 1)
Let l(x) = x + 10. Let a be l(-7). Let y be (-5)/(-35)*2*a/6. Determine w, given that -2/7*w**2 + 0 + 1/7*w**3 + y*w = 0.
0, 1
Let t(z) = -4*z + 10. Let b(s) = 13*s - 30. Let h(w) = -4*b(w) - 14*t(w). Let g be h(6). Solve 4/13 - 2/13*v**3 + 6/13*v**2 + 10/13*v - 2/13*v**g = 0.
-1, 2
Let f(b) = -2*b**4 + 37*b**3 + 219*b**2 + 263*b + 83. Let r(h) = -10*h**4 + 147*h**3 + 877*h**2 + 1053*h + 333. Let j(k) = 9*f(k) - 2*r(k). Solve j(u) = 0.
-9, -1, -1/2
Determine l, given that 388*l**3 + 108*l**2 - 196*l**3 - 196*l**3 + 112*l = 0.
-1, 0, 28
Let x = -191 + 195. Suppose 0 = -x*y + f + 12, -4*y + 6 = f + 2. Factor 0*p - 2/7*p**y + 0.
-2*p**2/7
Let v(l) be the first derivative of 5*l**4/2 - 86*l**3/3 + 22*l**2 + 32*l + 94. Factor v(x).
2*(x - 8)*(x - 1)*(5*x + 2)
Let g(m) be the second derivative of m**5/40 + 5*m**4/8 + 4*m**3 - 16*m**2 - 59*m. Factor g(y).
(y - 1)*(y + 8)**2/2
Suppose -2/9*r**3 - 5618/9*r + 212/9*r**2 + 0 = 0. Calculate r.
0, 53
Let a(l) be the first derivative of l**6/9 - 2*l**5/3 + 7*l**4/6 - 2*l**3/3 + 553. Factor a(i).
2*i**2*(i - 3)*(i - 1)**2/3
Let a = -166 - -166. Let n(m) be the third derivative of 6*m**2 + a*m - 1/32*m**4 + 0 - 1/80*m**5 + 0*m**3. Determine t so that n(t) = 0.
-1, 0
Let t(i) = -i**3 + 14*i**2 + 3. Let l be 60/(-24)*(-28)/5. Let d be t(l). Factor 2*w**4 - d*w**4 + 0*w**3 - w**3.
-w**3*(w + 1)
Let y(t) = 36*t**2 - 132*t - 15. Let a(c) = c**2. Let l(f) = f**2 + 19*f + 2. Let p(x) = -6*a(x) + l(x). Let h(u) = -15*p(u) - 2*y(u). Factor h(m).
3*m*(m - 7)
Let r(c) be the first derivative of -c**7/21 + c**5/5 - c**3/3 - 13*c + 5. Let k(u) be the first derivative of r(u). Solve k(f) = 0 for f.
-1, 0, 1
Find b such that 49*b - 10*b**2 - 29*b - 2*b**3 - 28*b = 0.
-4, -1, 0
Suppose 10 = 14*u - 18. Let r be (1/u)/(1/6). Find b, given that -2*b**4 - 4/7*b + 2*b**2 + 0 - 2/7*b**r + 6/7*b**5 = 0.
-1, 0, 1/3, 1, 2
Let z(x) be the second derivative of 0 - 8*x + 1/30*x**5 - 1/9*x**3 + 1/90*x**6 - 1/6*x**2 + 0*x**4. Let z(p) = 0. Calculate p.
-1, 1
Let l(m) be the first derivative of m**5/10 - 11*m**4/24 - 25*m**3/18 + 23*m**2/12 + 5*m/3 + 421. Find n, given that l(n) = 0.
-2, -1/3, 1, 5
Let x(q) be the third derivative of q**8/420 - 2*q**7/175 - q**6/30 + q**5/25 + 2*q**4/15 - 2*q**2 + 178. Let x(y) = 0. What is y?
-1, 0, 1, 4
Let j = -19909 - -19911. Let w = 1 + -1. Solve 3/2*u**j - 3/2*u + w = 0 for u.
0, 1
Let q = -39 + 32. Let f be q/(-70)*(-1 + 19). Let -3/5*r + 6/5*r**4 + 3/5 - f*r**2 + 3/5*r**3 = 0. What is r?
-1, 1/2, 1
Let h(i) be the second derivative of 50*i**7/63 + 8*i**6/9 - 26*i**5/15 - 4*i**4/3 + 2*i**3 - i + 42. Solve h(m) = 0.
-1, 0, 3/5
Let l be ((-6)/4)/(9/18). Let c be l/(15/(-7) - -2). Factor -8*j**2 - 7*j**2 + c*j**2 - 9*j + 3*j**3.
3*j*(j - 1)*(j + 3)
Let v(q) = -q**2 - 838*q - 4165. Let f be v(-5). Let 1/2*m**5 + 0*m**4 + f*m**2 + 0 + 1/2*m - m**3 = 0. Calculate m.
-1, 0, 1
Solve -3/4*f**2 + 3*f + 0 = 0.
0, 4
Let a(l) be the second derivative of l**5/5 - 5*l**4/12 - 23*l**3/6 + 3*l**2 - 100*l. Suppose a(j) = 0. Calculate j.
-2, 1/4, 3
Factor -9/4*y**3 - 47/4*y**2 - 16*y - 3.
-(y + 2)*(y + 3)*(9*y + 2)/4
Let u(k) be the third derivative of k**5/90 + k**4/4 - 10*k**3/9 - 2*k**2 - 15*k. Let u(o) = 0. What is o?
-10, 1
Let k(t) be the second derivative of -10*t + 1/2*t**3 + 0 - 9*t**2 + 1/4*t**4. Find b such that k(b) = 0.
-3, 2
Solve 115/3*j**3 - 55*j**2 + 70/3*j + 0 - 5*j**4 - 5/3*j**5 = 0 for j.
-7, 0, 1, 2
Let x(o) be the second derivative of -1/4*o**4 + o**3 + 0 - 2*o + 0*o**2. Find s such that x(s) = 0.
0, 2
Let 6/7*y**2 + 0*y + 0 - 2/7*y**3 = 0. Calculate y.
0, 3
Factor -21/8*d + 9/2 - 7/4*d**2 - 1/8*d**3.
-(d - 1)*(d + 3)*(d + 12)/8
Let z = -4/15 - -74/165. Find q such that -2/11*q - 4/11 + z*q**3 + 4/11*q**2 = 0.
-2, -1, 1
Let u(m) be the first derivative of -3/5*m**5 - 1/6*m**6 + 0*m + 0*m**2 - 18 + 4/3*m**3 + 0*m**4. Factor u(j).
-j**2*(j - 1)*(j + 2)**2
Let d(g) be the third derivative of -g**5/66 + 59*g**4/66 + 16*g**3/11 + 46*g**2. Factor d(p).
-2*(p - 24)*(5*p + 2)/11
Suppose -19*b + 30 = -14*b. Suppose -6 = b*q - 6. What is n in 0 + 2/5*n - 2/5*n**3 + q*n**2 = 0?
-1, 0, 1
Let t be (-28)/7*(-6)/(-8). Let i(p) = p**2 - 1. Let z(w) = -8*w**2 + 6*w - 2. Let h(f) = t*z(f) - 21*i(f). Factor h(b).
3*(b - 3)**2
Let u(q) = -2*q**2 + 8*q + 2. Let i = -11 + 6. Let p(y) = 4 - 2 + y**2 + 9*y - 3*y**2 + 1. Let s(j) = i*u(j) + 4*p(j). Factor s(a).
2*(a - 1)**2
Let w(u) = 5*u**2 + 85*u - 80. Let o(y) = 7*y**2 + 128*y - 119. Let g(t) = 5*o(t) - 8*w(t). Factor g(v).
-5*(v - 1)*(v + 9)
Let 3/5 + 13/10*x + 1/5*x**2 = 0. What is x?
-6, -1/2
Let m(r) be the second derivative of -r**6/450 - r**5/150 + r**3 - 3*r. Let v(i) be the second derivative of m(i). Find n such that v(n) = 0.
-1, 0
Suppose -4*u - 18 = -17*u + 7*u. Factor 3/2*l**3 - 3/2*l**2 + 0 - u*l.
3*l*(l - 2)*(l + 1)/2
Let j(r) = -10*r + 153. Let z be j(15). Let g(v) be the second derivative of -1/3*v**4 + v + 0 + v**2 - 7/6*v**z