*2*(b + 1)**2
Let n(c) be the first derivative of -c**3/9 + c**2/3 + 7. Suppose n(g) = 0. What is g?
0, 2
Let b be ((4 + -7)/((-3)/4))/6. Determine g so that b*g**2 + 0 + 2/3*g**4 + 0*g + 4/3*g**3 = 0.
-1, 0
Let n be -6 + (-1 - (-3)/1). Let h be n/(-15)*(-3 - -6). Factor -2/5*d**5 - 2/5 - 4/5*d**3 + 6/5*d + 6/5*d**4 - h*d**2.
-2*(d - 1)**4*(d + 1)/5
Let z = -82 + 180. Let 238*o**4 - 46*o**2 - z*o**5 - 153*o**3 + 7 + 1 + 19*o**3 + 32*o = 0. What is o?
-2/7, 1
Let u(h) = h**3 + 6*h**2 + h + 7. Let b be u(-6). Suppose -4*m + 3*k + 8 = 0, -b = 2*m + k - 5. Suppose -1 + f - 7*f**2 + 4*f**m + 2*f**2 + 3 = 0. Calculate f.
-1, 2
Suppose 0*z + 5 = z. Suppose z = 2*s - 3*s. Let w(p) = -p**3 - p**2 - 5*p. Let n(o) = o**3 + o**2 + 4*o. Let g(m) = s*n(m) - 4*w(m). Let g(i) = 0. Calculate i.
-1, 0
Let c(p) be the second derivative of p + 0 + 0*p**2 - 1/4*p**3 - 1/4*p**4 - 3/40*p**5. Factor c(b).
-3*b*(b + 1)**2/2
Let c(d) be the first derivative of d**6/120 - d**5/40 + 2*d**3/3 - 8. Let h(z) be the third derivative of c(z). Factor h(n).
3*n*(n - 1)
Let i = -11 - -7. Let c(q) = -5*q**3 - 17*q**2. Let y(d) = 5*d**3 + 16*d**2 + d - 1. Let w(s) = i*y(s) - 3*c(s). Let w(j) = 0. Calculate j.
-2, -1, 2/5
Let d = 413 + -411. Factor 4/7*j**3 + 2/7*j - 6/7*j**d + 0.
2*j*(j - 1)*(2*j - 1)/7
Let m(l) be the third derivative of -l**6/240 - l**5/30 - 5*l**4/48 - l**3/6 - 24*l**2. Find k such that m(k) = 0.
-2, -1
Let g(c) be the third derivative of 0 - 1/6*c**4 + 1/30*c**6 + 1/15*c**5 + 2*c**2 + 0*c - 2/3*c**3. Factor g(s).
4*(s - 1)*(s + 1)**2
Determine o so that 2/9*o + 1/9*o**2 + 0 = 0.
-2, 0
Let q(d) = d**3 + d. Let c be q(1). Suppose -j + 4*f = -f - 13, -4*j - 5*f = -c. Factor -2 + 3*n**5 + j*n + 10*n**3 - 4*n - 4*n + 10*n**4.
(n + 1)**4*(3*n - 2)
Suppose 0 = -7*j + 2*j + 25. Determine s so that 2*s**3 - s - 23*s**5 - s**4 + s**4 + 22*s**j = 0.
-1, 0, 1
Solve 22*i**4 + 6*i - 7*i**4 + 16*i**3 - 14*i**4 - 9*i**4 + 22*i**2 = 0.
-1/2, 0, 3
Let o(l) be the second derivative of -l**4/48 - 2*l. Factor o(q).
-q**2/4
Let k(s) be the second derivative of -3*s**5/4 - 10*s**4/3 + 25*s**3/6 + 15*s**2 - 31*s. Factor k(b).
-5*(b - 1)*(b + 3)*(3*b + 2)
Let s(x) = 14*x**3 - 17*x**2 + 3*x + 17. Let r(d) = -5*d**3 + 6*d**2 - d - 6. Let c(n) = -17*r(n) - 6*s(n). Factor c(t).
t*(t - 1)*(t + 1)
Let p(d) be the second derivative of d**5/14 - 11*d**4/21 + 8*d**3/21 + d. Factor p(m).
2*m*(m - 4)*(5*m - 2)/7
Factor 3/4*o**2 + 3/2*o + 0.
3*o*(o + 2)/4
Let w(u) be the first derivative of 2 + 0*u - 1/8*u**2 + 1/12*u**3. Factor w(i).
i*(i - 1)/4
Let b(m) be the third derivative of m**6/660 + m**5/110 - 4*m**3/33 + 4*m**2. Let b(t) = 0. What is t?
-2, 1
Let w(f) = f + 0*f**4 + 4 - f**4 - f**2 + f**3 - 4. Let m(j) = -j**4 + 2*j**3 - 3*j**2 + 2*j. Let d(r) = -3*m(r) + 6*w(r). Suppose d(a) = 0. Calculate a.
-1, 0, 1
Let d(g) = 3*g**2 + g - 2. Let i be d(1). Suppose 2/7*a + 0 + 2/7*a**i = 0. What is a?
-1, 0
Let b(k) be the third derivative of -1/20*k**5 - 1/28*k**8 - 3/20*k**6 + 0*k**3 - 9/70*k**7 + 3*k**2 + 0*k**4 + 0*k + 0. Factor b(l).
-3*l**2*(l + 1)**2*(4*l + 1)
Let m(z) be the second derivative of -z**7/273 + 2*z**6/195 + z**5/130 - z**4/39 + 3*z. Solve m(q) = 0 for q.
-1, 0, 1, 2
Let 2/15*u**2 + 0 + 2/15*u = 0. What is u?
-1, 0
Let z = -111/4 + 28. Factor 0*l - z + 1/4*l**2.
(l - 1)*(l + 1)/4
Let s = -17798/235 - -138/47. Let n = s - -73. Factor 1/5*l**2 + 0 + 1/5*l**3 - 1/5*l - n*l**4.
-l*(l - 1)**2*(l + 1)/5
Let x(g) be the third derivative of g**7/378 + 7*g**6/432 - g**5/36 - 11*g**4/24 + 2*g**2. Let h(b) be the second derivative of x(b). What is n in h(n) = 0?
-2, 1/4
Let h be ((-4)/10)/((-12)/(-4218)). Let r = h + 141. Determine u so that 2/5*u**2 + 2/5*u**3 - 2/5*u**5 - r*u**4 + 0*u + 0 = 0.
-1, 0, 1
Let d(q) be the second derivative of -q**4/18 + 2*q**3/3 - 5*q**2/3 + 2*q. Factor d(n).
-2*(n - 5)*(n - 1)/3
What is g in 20*g**2 + 25*g + 0*g**2 + 7*g + 16 + 4*g**3 = 0?
-2, -1
Let t(a) = -a - 9. Let w(i) = -i**3 - 9*i**2 - 8*i - 9. Let d be w(-8). Let z be t(d). Solve 0*p**2 + 0*p + 0 - 2/5*p**3 + z*p**4 + 2/5*p**5 = 0 for p.
-1, 0, 1
Let w be (-2)/3 + (-84)/9. Let q = 12 + w. Factor 0 - 1/3*z**q - 1/3*z.
-z*(z + 1)/3
Let x(v) be the first derivative of 3*v**5/5 - 9*v**4/4 - 9. What is i in x(i) = 0?
0, 3
Suppose 6*w - 24*w**3 + 21*w**2 + 0*w - 39*w**4 + 4*w**5 + 4*w**5 + 28*w**5 = 0. Calculate w.
-2/3, -1/4, 0, 1
Let j(z) be the second derivative of 0 + 1/36*z**4 + 1/3*z**2 - 1/6*z**3 + 3*z. Determine t so that j(t) = 0.
1, 2
Suppose 10 = 5*m - 4*s, 0 = -m + 5*s + 1 + 1. Solve -k**m - 2*k + 2*k + k = 0 for k.
0, 1
Let w = 274 - 49319/180. Let s(j) be the third derivative of 0*j**3 + 1/630*j**7 + 0*j + j**2 - 1/36*j**4 + w*j**6 + 0 - 1/180*j**5. Factor s(n).
n*(n - 1)*(n + 1)*(n + 2)/3
Let k(r) = 2*r**3 + 2*r**2 - 2*r. Let y(t) = t**4 + 2*t**3 + 2*t**2 - 2*t. Let c(i) = 3*k(i) - 2*y(i). Factor c(o).
-2*o*(o - 1)**2*(o + 1)
Let w = 59 - 54. Let d(i) be the first derivative of 0*i - 1/3*i**2 + 1/6*i**4 - 4/9*i**3 + 4 + 4/15*i**w. Let d(o) = 0. Calculate o.
-1, -1/2, 0, 1
Let z(p) be the second derivative of -p**5/30 - 7*p**4/18 - 14*p**3/9 - 8*p**2/3 - 34*p. Factor z(q).
-2*(q + 1)*(q + 2)*(q + 4)/3
Let f(l) = l**4 + l**2 - 1. Let n(k) = -4*k**4 + 8*k**2 - 6. Let c(z) = 2*f(z) + n(z). Find q such that c(q) = 0.
-2, -1, 1, 2
Find y, given that 1/11*y**2 + 0 - 1/11*y + 1/11*y**3 - 1/11*y**4 = 0.
-1, 0, 1
Let r(o) be the second derivative of o**5/35 + 2*o**4/7 + 6*o**3/7 - 24*o. Factor r(q).
4*q*(q + 3)**2/7
Let m(j) be the third derivative of -j**8/2688 + j**7/280 - 11*j**6/960 + j**5/240 + j**4/16 - j**3/6 - 6*j**2. Factor m(c).
-(c - 2)**3*(c - 1)*(c + 1)/8
Let f(c) = -8*c - 2 + 0*c + c - c**2. Let d be f(-6). Suppose -3 - 2 + s**2 + d = 0. Calculate s.
-1, 1
Let x(c) be the first derivative of c**3 + 9*c**2/2 + 6*c - 3. Determine m so that x(m) = 0.
-2, -1
Let w(h) = 5*h**5 - 9*h**4 - 9*h**3 - 7*h**2 - 6*h. Let b(o) = 4*o**5 - 8*o**4 - 8*o**3 - 6*o**2 - 5*o. Let p(u) = 6*b(u) - 5*w(u). Let p(m) = 0. Calculate m.
-1, 0
Let m be (-1 + 26/20)*(72 + -67). Find d, given that -3/2*d - 9/2*d**3 + 0 + m*d**4 + 9/2*d**2 = 0.
0, 1
Suppose -4*b - 1 + 13 = 0. Let p(o) = -4*o**2 - 4*o + 3 - b. Let w(q) = 3*q**2 + 3*q. Let c(y) = -2*p(y) - 3*w(y). Suppose c(l) = 0. What is l?
-1, 0
Let b(u) be the third derivative of u**5/300 - u**4/60 + u**3/30 - 15*u**2. Factor b(k).
(k - 1)**2/5
Let -12*z**4 + 15*z**3 - 6*z**2 + 0*z**4 + 0*z**5 + 3*z**5 = 0. Calculate z.
0, 1, 2
Let a(r) = -r**3 - 4*r**2 + 4*r - 2. Let j be a(-5). Find x such that -2 - 5 + 2*x**2 + 7 - 2*x**4 - 9*x**j + 9*x**5 = 0.
-1, 0, 2/9, 1
Let q(r) be the second derivative of -r**8/3360 + r**7/1680 + r**3/6 - 4*r. Let c(d) be the second derivative of q(d). Factor c(k).
-k**3*(k - 1)/2
Let l be (-40)/(-12)*(-12)/(-10). Factor -l + 2*j - j**2 + 2*j**2 + 2 + 3.
(j + 1)**2
Let k(o) = 3*o + 3*o**2 - 6*o**3 - 6 + 6. Let y(g) = -7*g**3 + 3*g**2 + 3*g + 1. Let s(h) = -4*k(h) + 3*y(h). Solve s(u) = 0 for u.
-1, 1
Let c(x) be the first derivative of -x**6/30 - 2*x**5/25 + x**4/10 + 4*x**3/15 - x**2/10 - 2*x/5 - 6. Let c(g) = 0. Calculate g.
-2, -1, 1
Let l(k) = k**2 - 9*k - 50. Let t be l(-4). Factor t*f - 1/2*f**2 - 2.
-(f - 2)**2/2
Let x(n) be the third derivative of n**5/24 - 55*n**4/48 + 25*n**3/6 + 16*n**2 - 3. Solve x(c) = 0 for c.
1, 10
Factor 45*v**2 + 3*v**2 - 36*v**3 - v**4 + 9*v**4 - 16*v.
4*v*(v - 2)**2*(2*v - 1)
Let n be 7/((-14)/(-32)) - 2. Let d = -14 + n. Let 2/5*j**2 + d + 0*j = 0. Calculate j.
0
Suppose 16*n**3 + n**5 + 6*n**5 + 16*n**4 - 3*n**5 = 0. What is n?
-2, 0
Let u(r) be the second derivative of r**4/72 + 4*r**3/9 + 16*r**2/3 - 12*r. Suppose u(g) = 0. What is g?
-8
Let z(p) be the third derivative of p**4/12 - p**3/3 - 4*p**2. Let k be z(2). Factor -5*f**2 + 2 - f + 3*f**2 - 4*f**k - 3*f.
-2*(f + 1)*(3*f - 1)
Let w(t) be the first derivative of -2/3*t + 1/9*t**6 - 1/3*t**4 + 1/3*t**2 - 2/15*t**5 + 4/9*t**3 - 4. Factor w(f).
2*(f - 1)**3*(f + 1)**2/3
Let b(k) be the first derivative of -1/6*k**4 + 2*k**2 + 1/3*k**3 + 3 - 2*k. Let j(r) be the first derivative of b(r). Suppose j(x) = 0. Calculate x.
-1, 2
Let d(q) = 5*q**4 + 0*q - 6 + q - q - 4*q**3 + 6*q. Let c(l) = 4*l**4 - 3*l**3 + 5*l - 5. Let g(j) = -6*c(j) + 5*d(j). Fact