*g**3 - 20/3*g**4 - 4*g**2 = 0. Calculate g.
-1/2, 2/5, 1
Suppose 15 + 20 - 176*c + 136*c + 5*c**2 = 0. What is c?
1, 7
Let c(l) be the third derivative of l**6/40 + l**5/5 - 11*l**4/8 + 3*l**3 + 45*l**2. Solve c(y) = 0.
-6, 1
Let f(u) be the second derivative of -3/8*u**5 + 0*u**2 - 1/2*u**4 - 4*u + 0 - 1/15*u**6 + 1/3*u**3. What is a in f(a) = 0?
-2, 0, 1/4
Let z = -28 - -30. Let r(q) be the second derivative of 0 + 1/6*q**4 + 7/30*q**6 - 3*q + 9/20*q**5 + 0*q**3 + 0*q**z. Factor r(v).
v**2*(v + 1)*(7*v + 2)
Let q(k) be the first derivative of 4*k**3/45 - k**2/3 + 2*k/5 - 17. Suppose q(t) = 0. What is t?
1, 3/2
Let r(t) be the third derivative of 3/4*t**4 + 0 + 0*t - 2/3*t**3 + 4*t**2 - 7/30*t**5. Let r(m) = 0. Calculate m.
2/7, 1
Let v = -24/31 - -196/93. Factor -v*q + 0 - 2/3*q**2.
-2*q*(q + 2)/3
Let h be 18/4 - 36/24. Solve -2*t**3 - 2 + t**3 - 2*t**3 - 8*t**2 + 7*t + 2*t**4 - t**5 + 5*t**h = 0 for t.
-2, 1
Let t be 128/3600*10/4. Let s(g) be the first derivative of 4/27*g**3 + 0*g**4 - 1/9*g**2 - 1 + 1/27*g**6 + 0*g - t*g**5. Factor s(z).
2*z*(z - 1)**3*(z + 1)/9
Let j = -2/123 + 377/492. Let y(g) be the first derivative of -1 + 4/3*g**3 - 2*g + 5/2*g**2 - j*g**4. Factor y(d).
-(d - 2)*(d + 1)*(3*d - 1)
Determine m so that -3/2*m**2 + 1/2*m**3 + m + 0 = 0.
0, 1, 2
Let z(w) be the first derivative of -3*w**3 - 15/2*w**2 - 6*w - 5. Solve z(x) = 0 for x.
-1, -2/3
Let t = -8 + 11. Suppose -w - 4*q = -6, -t = -3*w + 6*q - 3*q. Determine v so that -2*v + v**3 + 0*v**2 - 2*v**2 + v**3 + w*v**4 + 0*v**3 = 0.
-1, 0, 1
Let z be 696/3915 + -1 + 22/18. Factor -12/5*i**2 + 8/5*i + 8/5*i**3 - 2/5 - z*i**4.
-2*(i - 1)**4/5
Suppose -1 = -2*q + 5. Suppose 3*d - 4 + 2 = 5*y, 4*y = 2*d. Factor 2*b**3 - q*b**4 + 2*b**3 - 4*b**2 + y*b**4.
-b**2*(b - 2)**2
Suppose -2*q = -q - 2. Let p(s) be the first derivative of -s**2 - q*s + 2/3*s**3 - 2 + 1/2*s**4. Factor p(j).
2*(j - 1)*(j + 1)**2
Suppose 0 = -4*c + 3*n - 13, -5*n - 9 = 4*c - 3*c. Let y be ((-5)/25)/(c/5). Factor -3/2*x**3 + x**2 - y*x**5 - 1/4*x + 0 + x**4.
-x*(x - 1)**4/4
Let z(j) be the second derivative of j**5/20 + j**4/6 - j**2/2 + 7*j. Let y be z(-1). Factor 4/7*k + 2/7*k**2 + y.
2*k*(k + 2)/7
Suppose -11 = -2*q - 3. Let u(k) be the third derivative of 1/6*k**q - 1/60*k**6 - k**2 + 0*k + 0*k**3 + 1/30*k**5 + 0. Factor u(m).
-2*m*(m - 2)*(m + 1)
Let b(t) = -5*t**4 - 11*t**3 - 31*t**2 - 29*t - 4. Let q(v) = 6*v**4 + 11*v**3 + 30*v**2 + 30*v + 5. Let p(i) = -5*b(i) - 4*q(i). Factor p(w).
w*(w + 1)*(w + 5)**2
Let m = 755/176 - 25/16. Let a = m + -79/33. Factor 1/3*b**3 - a*b**2 + 0*b + 0.
b**2*(b - 1)/3
Let u(a) be the second derivative of -a**4/48 - a**3/12 + 4*a. Find j, given that u(j) = 0.
-2, 0
Let o(j) be the third derivative of -j**6/120 + j**5/15 + 5*j**4/24 + j**3/3 + 4*j**2. Let i be o(5). Find x such that x**i + 1/3*x - 2/3 = 0.
-1, 2/3
Let n(x) = x - 27 + 3*x**2 - 2*x**2 + 28. Let t(g) = 5*g**2 + 5*g + 6. Suppose -7 = -4*o - 31. Let i(c) = o*n(c) + t(c). Factor i(b).
-b*(b + 1)
Let q be (10/45)/(16/288). Let 0*z + 12/7*z**q + 6/7*z**2 - 3/7*z**5 - 15/7*z**3 + 0 = 0. What is z?
0, 1, 2
Let z(k) be the second derivative of 0*k**3 + 0 + 3*k + 0*k**2 - 1/6*k**4. Factor z(s).
-2*s**2
Let x(v) = -v**2 - 9*v - 4. Let a be x(-8). Let b(t) be the first derivative of 1/6*t**a + 1 - t**2 + 0*t**3 - 4/3*t. Factor b(h).
2*(h - 2)*(h + 1)**2/3
Let p(h) = 24*h**3 - 9*h**2 + 36*h - 6. Let r(c) = -c**3 - c**2 - c. Let o(m) = p(m) + 15*r(m). Factor o(k).
3*(k - 1)**2*(3*k - 2)
Let a(z) be the second derivative of 0 + 1/15*z**6 - 3*z + 0*z**3 + 0*z**2 + 0*z**4 + 0*z**5 - 1/21*z**7. Suppose a(p) = 0. What is p?
0, 1
Let q(p) = -p + 27. Let b be q(11). Let m = 19 - b. Determine l, given that 2*l**m + 8/7 + 40/7*l + 46/7*l**2 = 0.
-2, -1, -2/7
Let m(y) be the second derivative of 3*y**5/20 - 5*y**4/4 + 3*y**3/2 + 27*y**2/2 - 9*y. Suppose m(h) = 0. What is h?
-1, 3
Let a(n) be the first derivative of -7*n**6/10 - n**5/25 + 4*n**4/5 - 4*n**3/15 + 3. Suppose a(j) = 0. What is j?
-1, 0, 2/7, 2/3
Let j(l) be the first derivative of -l**6/2 - 12*l**5/5 - 15*l**4/4 - 2*l**3 - 7. Factor j(w).
-3*w**2*(w + 1)**2*(w + 2)
Factor 0*n + 0*n**3 + 3*n**5 + 0*n**2 + 0 + 6/5*n**4.
3*n**4*(5*n + 2)/5
Let v(j) be the first derivative of j**9/6048 + j**8/3360 - j**7/840 - 7*j**3/3 - 8. Let c(q) be the third derivative of v(q). Factor c(b).
b**3*(b - 1)*(b + 2)/2
Let s be ((-6)/36)/(4/(-16)). Factor 4*c**3 - s*c**4 + 0 + 16/3*c - 8*c**2.
-2*c*(c - 2)**3/3
Suppose 0 + 4/9*r - 2/9*r**2 + 2/3*r**5 + 2/9*r**4 - 10/9*r**3 = 0. Calculate r.
-1, 0, 2/3, 1
Let d(b) = -b**3 + 9*b**2 - 7*b - 9. Let f be d(8). Let a be 4/6 + (f - -1). Factor 0 - 2/3*p**4 + 2/3*p**2 + a*p**5 - 2/3*p**3 + 0*p.
2*p**2*(p - 1)**2*(p + 1)/3
Let v(g) = 21*g**3 - 12*g**2 - 3*g + 6. Let d(o) = -o**3. Let z(f) = 12*d(f) + v(f). Determine r so that z(r) = 0.
-2/3, 1
Let d(a) be the third derivative of -3/20*a**5 + 0 + 0*a + 2*a**2 - 1/2*a**3 - 1/40*a**6 - 3/8*a**4. Factor d(f).
-3*(f + 1)**3
Let x = 232 + -230. Determine n so that 2/5*n**x - 6/5*n + 0 = 0.
0, 3
Let m(o) be the third derivative of -o**8/1512 - 2*o**7/945 - o**6/540 + 8*o**2. Determine w, given that m(w) = 0.
-1, 0
Let j(z) = -2*z**4 + 3*z**3 - 2*z**2 - 3*z - 2. Let q(b) = 3*b**4 - 5*b**3 + 4*b**2 + 5*b + 3. Let o(d) = 10*j(d) + 6*q(d). Factor o(k).
-2*(k - 1)**2*(k + 1)**2
Let t(q) = 14*q - 3. Let z be t(2). Suppose 4*r = 2*h + 14, -7*h + z = -2*h. Factor -d**2 + 4*d**5 + 6*d**4 + r*d**3 - 2*d**5 + 3*d**2.
2*d**2*(d + 1)**3
Let y(x) be the second derivative of x**5/6 + x**4/6 - 4*x**3/3 + 4*x**2/3 + 9*x. Determine o, given that y(o) = 0.
-2, 2/5, 1
Let d(j) be the first derivative of -4 - 1/4*j**4 + 1/2*j**2 - j + 1/3*j**3. Factor d(c).
-(c - 1)**2*(c + 1)
Let z = 1 + -23/24. Let j(h) be the third derivative of 1/120*h**6 + 0*h**3 - 1/30*h**5 + z*h**4 + 0*h + 0 - 3*h**2. Suppose j(a) = 0. What is a?
0, 1
Suppose -28 = -3*o - o. Factor -o*q + 0*q + 2 - 22*q**2 + 0*q.
-(2*q + 1)*(11*q - 2)
Let m(n) be the first derivative of 0*n**2 + 3*n - 1/7*n**3 + 3/28*n**4 - 4. Let q(u) be the first derivative of m(u). Suppose q(g) = 0. Calculate g.
0, 2/3
Find n such that -8*n + 6*n**2 + 8/3 - 4/3*n**3 = 0.
1/2, 2
Let i(j) = 43*j**4 + j**3 - 36*j**2 - 8*j - 13. Let p(z) = -11*z**4 + 9*z**2 + 2*z + 3. Let y(u) = -6*i(u) - 26*p(u). Find t, given that y(t) = 0.
-1/2, -2/7, 0, 1
Let j(m) be the third derivative of 0*m - 1/120*m**5 - 1/24*m**4 + 2*m**2 - 1/12*m**3 + 0. What is r in j(r) = 0?
-1
Let q(w) be the first derivative of 4 + 0*w - 2/21*w**3 - 1/14*w**2 - 1/28*w**4. Factor q(a).
-a*(a + 1)**2/7
Factor -2/5*n**4 + n**3 - 1/5*n + 1/5 - 3/5*n**2.
-(n - 1)**3*(2*n + 1)/5
Let d = 1979/3315 + 2/663. Factor 0*n + d*n**2 + 0.
3*n**2/5
Suppose 4*u - 3*c + 4 = -3, 2*c = 2*u + 6. Factor -4*l**4 + 18*l**2 + 10*l + 4 + u*l**4 + 4*l + 10*l**3 + 4*l**4.
2*(l + 1)**3*(l + 2)
Let p(x) = -x**3 + x**2 + 1. Let a(s) = 5*s**2 + 5*s + 3. Let o(b) = -4*a(b) + 4*p(b). Factor o(g).
-4*(g + 1)**2*(g + 2)
Let r(m) be the first derivative of -4*m**3/27 - m**2/18 + 19. Determine f so that r(f) = 0.
-1/4, 0
Let c(m) = -m**2 - m - 2. Let p be c(-3). Let v be (-78)/(-297) - p/44. What is b in 2/3*b**2 + v*b + 2/9*b**3 + 0 = 0?
-2, -1, 0
Let o(q) be the third derivative of -q**8/1008 + q**7/126 - q**6/60 - q**5/90 + 7*q**4/72 - q**3/6 + 8*q**2. Factor o(c).
-(c - 3)*(c - 1)**3*(c + 1)/3
Let a(f) be the second derivative of 2*f**7/7 - f**6/2 + 3*f**5/20 - 2*f. Find o such that a(o) = 0.
0, 1/4, 1
Let -2/9*l**2 - 4/3 - 10/9*l = 0. What is l?
-3, -2
Let t = 80 - 74. Let j(u) be the third derivative of 0*u + 1/600*u**t + 0 - 1/120*u**4 - 2*u**2 + 0*u**5 + 0*u**3. Factor j(q).
q*(q - 1)*(q + 1)/5
Let i(l) = -l**2 - l. Let a(q) = -3*q**3 + 9*q**2. Let z(t) = -a(t) - 3*i(t). Determine r so that z(r) = 0.
0, 1
Let c(w) be the first derivative of 2*w**3/57 + 13. Let c(n) = 0. What is n?
0
Let q(d) be the third derivative of 0*d**3 + 0*d**4 - 5*d**2 + 0*d + 1/15*d**6 + 0 + 1/35*d**7 + 1/30*d**5. Let q(h) = 0. Calculate h.
-1, -1/3, 0
Let j = 313 - 310. Let -2/7 + 2/7*r**j - 6/7*r**2 + 6/7*r = 0. What is r?
1
Let g(t) be the first derivative of -1/110*t**5 + 0*t**3 - 3*t + 0*t**4 - 2 + 0*t**2. Let x(z) be the first derivative of g(z). Find k such that 