1/12*g**4 + 0 + 1/4*g**2 + 1/12*g**f + 10*g. Suppose h(w) = 0. What is w?
-1/2, 1
Let q(c) = c**3 - 2*c**2 - 31*c - 26. Let b be q(-4). Let t(s) be the first derivative of 0*s - 1/4*s**4 + 2 + 1/2*s**b + 1/5*s**5 - 1/3*s**3. Factor t(j).
j*(j - 1)**2*(j + 1)
Let d(r) be the first derivative of -3*r**5/5 + 6*r**4 - 18*r**3 + 81*r - 532. Factor d(m).
-3*(m - 3)**3*(m + 1)
Let u(i) be the first derivative of -i**4/4 - 4*i**3/3 + 3*i**2/2 + 18*i + 36. Let u(y) = 0. What is y?
-3, 2
Let t be 9*(1/(-12) + 1/(-4)). Let v = -1 - t. Suppose -3/2*j + 3*j**v - 3/2 - 3/2*j**4 - 3/2*j**5 + 3*j**3 = 0. What is j?
-1, 1
Let c(p) = -3*p**2 + 12*p - 7. Let n be c(3). Let u be 3/(-2 + 0 + 3). Factor u*k**3 - 3*k**2 + 3*k**4 - k - 2*k - 2*k**n + 2*k**2.
3*k*(k - 1)*(k + 1)**2
Let n(i) be the second derivative of 3/100*i**5 + 0 + 0*i**3 + 0*i**4 + 0*i**2 + 8*i. Factor n(c).
3*c**3/5
Let b be (1 - -2) + (4 - 5). Let z be ((-5)/10)/(b/(-136)). What is l in -76*l**3 + z*l**4 - 56*l**2 + 57*l**5 + 41*l**5 - 14*l**3 + 22*l**4 - 8*l = 0?
-1, -2/7, 0, 1
Factor -216/19 - 2/19*c**2 - 62/19*c.
-2*(c + 4)*(c + 27)/19
Factor -33*k**2 + 25*k**3 + 36*k + 74*k - 12 - 58*k**2 - 28 - 4*k**2.
5*(k - 2)*(k - 1)*(5*k - 4)
Suppose -212*t + 1248 = 204*t. Determine l, given that 2/5*l**2 + 6/5*l**t - 2/5*l**4 - 6/5*l + 0 = 0.
-1, 0, 1, 3
Let v = -11 - -14. Factor -2*j**2 + v*j**2 + 12*j - 21 + 2*j + 70.
(j + 7)**2
Let s(n) be the first derivative of 1/7*n**6 - 4/7*n**5 + 9 + 3/7*n**4 - 9/7*n**2 + 16/21*n**3 + 4/7*n. Determine t, given that s(t) = 0.
-1, 1/3, 1, 2
Let p be (-8)/(-12) + -1*3/9. Determine j, given that -1/3*j + p*j**3 - 2/3*j**2 + 2/3 = 0.
-1, 1, 2
Let z(w) be the third derivative of -5*w**8/616 - 8*w**7/385 + 19*w**6/220 + 17*w**5/55 + w**4/11 - 8*w**3/11 - 2*w**2 - 65. Let z(c) = 0. What is c?
-2, -1, 2/5, 2
Suppose 13*b - 4*b - 27 = 0. Let k(z) be the second derivative of z + 2/9*z**2 - 5/27*z**b + 1/27*z**4 + 0. Factor k(i).
2*(i - 2)*(2*i - 1)/9
Let z(c) be the third derivative of 0 + 1/320*c**6 + 1/96*c**4 + 16*c**2 - 1/2688*c**8 - 1/1680*c**7 + 0*c**3 + 0*c + 1/96*c**5. Suppose z(f) = 0. What is f?
-1, 0, 2
Let t(q) = 9*q**4 + 18*q**3 + 47*q**2 + 18*q - 4. Let f(a) = 7*a**4 + 18*a**3 + 47*a**2 + 21*a - 3. Let d(z) = -4*f(z) + 3*t(z). Factor d(x).
-x*(x + 1)*(x + 2)*(x + 15)
Let j(u) be the second derivative of 3*u**5/40 - 33*u**4/4 + 1089*u**3/4 - 2*u + 5. Suppose j(i) = 0. What is i?
0, 33
Factor 2/17 + 6/17*p + 2/17*p**3 + 6/17*p**2.
2*(p + 1)**3/17
Let o(k) be the third derivative of k**8/112 + 3*k**7/70 + k**6/40 - 3*k**5/20 - k**4/4 - 175*k**2. Factor o(m).
3*m*(m - 1)*(m + 1)**2*(m + 2)
Let -4 + 4 - 1802*s**2 + 1801*s**2 = 0. Calculate s.
0
Factor 6*s**2 + 0*s**3 + 2*s**3 - 14*s**2.
2*s**2*(s - 4)
Let t be ((-3 - -3)/(-3))/2. Let p = 2 - t. Determine x, given that p*x**2 + 2*x**2 - 3*x**2 + 2*x**3 + x**4 = 0.
-1, 0
Let d(u) = -u**4 + u**3 - 2*u**2 + u - 1. Let i(t) = -t**5 - 21*t**4 + 22*t**3 + 2*t**2 - t + 1. Let w(j) = -2*d(j) - 2*i(j). Find x, given that w(x) = 0.
-23, 0, 1
Suppose 16*s = 13*s + 6. Let r(m) be the first derivative of 1 + 0*m + 0*m**4 + 2/5*m**5 - 2/3*m**3 + 0*m**s. Factor r(p).
2*p**2*(p - 1)*(p + 1)
Factor -33*g - 27*g**2 + 6*g + 15*g**4 + 15*g**3 + 11*g**3 + 13*g**3.
3*g*(g - 1)*(g + 3)*(5*g + 3)
Suppose 9*p - 12 - 24 = 0. Factor 12 + 14*s**2 - 15*s - 3*s**3 + 4*s - 9*s - p.
-(s - 2)**2*(3*s - 2)
Let x(t) be the first derivative of 2*t**5/5 + 4*t**4 - 20*t**3/3 - 8*t**2 + 18*t - 301. Factor x(z).
2*(z - 1)**2*(z + 1)*(z + 9)
Let u = -1697/6 - -284. Let l(m) be the second derivative of -6*m + 1/2*m**2 + 2/3*m**4 + u*m**3 - 4/5*m**5 + 0. Determine d so that l(d) = 0.
-1/4, 1
Let m(b) be the first derivative of -b**6/60 - b**5/12 + b**4/6 + 4*b**3/3 + 4. Let t(z) be the third derivative of m(z). Factor t(k).
-2*(k + 2)*(3*k - 1)
Let z(a) be the second derivative of 5*a**7/42 - 5*a**6/6 + 3*a**5/4 + 25*a**4/12 - 10*a**3/3 - a + 20. What is k in z(k) = 0?
-1, 0, 1, 4
Suppose -4*p - 12 = -3*x, 2*x - 12 = 5*x + 4*p. Let y(j) be the first derivative of 5/4*j**4 + 10/3*j**3 + x*j - 10 + 0*j**2. Solve y(w) = 0 for w.
-2, 0
Suppose 6*x - 46 + 16 = 0. Let w(c) be the third derivative of -1/40*c**x + 1/4*c**3 - c**2 + 0*c**4 + 0*c + 0. Find o such that w(o) = 0.
-1, 1
Suppose -12*m + 2*m - 70 = 0. Let y(i) = -2*i - 14. Let v be y(m). Solve u**3 - 1/2*u**4 + v*u**2 - u + 1/2 = 0 for u.
-1, 1
Let r(l) be the first derivative of 0*l**2 + 1/5*l**4 + 15 - 16/5*l + 4/5*l**3. Determine q so that r(q) = 0.
-2, 1
Let h(n) be the first derivative of -4*n**2 - 14 + 0*n + n**4 - 4/3*n**3. Factor h(x).
4*x*(x - 2)*(x + 1)
Let c be 14/(-21)*(-12)/20. Suppose 2*p + 5*l = -16, -4 = 2*p + 2*l - 0*l. Let -c*j**p - 4/5 + 6/5*j = 0. What is j?
1, 2
Let c(x) = -31*x**3 + 32*x**2 + 75*x + 12. Let w(z) = 525*z**3 - 545*z**2 - 1275*z - 205. Let v(i) = -35*c(i) - 2*w(i). Solve v(n) = 0.
-1, -1/7, 2
Suppose -m + q - 71 = -5*m, 2*m - 35 = -q. Let x be (4/6)/(4/m). Factor 3*j**4 - x*j**3 - j**2 + 0*j**2 + 3*j - 2*j**2.
3*j*(j - 1)**2*(j + 1)
Let u(d) be the first derivative of 0*d - 2/3*d**3 + 8 + 0*d**2 + 1/4*d**4 + 1/5*d**5. Let u(w) = 0. What is w?
-2, 0, 1
Let c(q) be the first derivative of -44*q**3 - 12*q**5 - 22*q**4 - 16*q + 3*q**5 + 5*q**5 + 21 - 40*q**2. Find z, given that c(z) = 0.
-2, -1, -2/5
Let -2/3*f**3 + 80/3 + 28/3*f**2 - 106/3*f = 0. Calculate f.
1, 5, 8
Factor 2/7*g**2 + 0 + 158/7*g.
2*g*(g + 79)/7
Let v be 16/7 - 8/28. Suppose -v*c - 1 - 3 + 8 - 2*c**2 = 0. What is c?
-2, 1
Let i(d) = -d**3 - d**2 + d + 1. Suppose 2*v = -r - 2 + 6, -5*r = -2*v + 4. Let l be i(r). Factor -4*u**2 + 14*u + l - 2*u**2 - 4 - 5*u.
-3*(u - 1)*(2*u - 1)
Let t(b) be the third derivative of -b**7/105 + 31*b**6/60 + b**5/10 - 91*b**4/12 - 62*b**3/3 + 489*b**2. Suppose t(g) = 0. Calculate g.
-1, 2, 31
Solve 92/7*x + 2/7*x**4 - 1058/7 + 1056/7*x**2 - 92/7*x**3 = 0.
-1, 1, 23
Let t(g) be the third derivative of -2*g**7/105 + g**6/15 + 49*g**5/15 + 59*g**4/3 + 48*g**3 - 51*g**2 - 5*g. Suppose t(x) = 0. Calculate x.
-4, -2, -1, 9
Let w(i) be the third derivative of -12*i**2 + 1/420*i**7 - 5/24*i**4 + 0*i + 1/10*i**5 + 0 - 1/40*i**6 + 1/4*i**3. Factor w(g).
(g - 3)*(g - 1)**3/2
Let x(n) be the second derivative of 0 - 6*n**2 + 15*n - 13/3*n**3 + 5/6*n**4. Find j, given that x(j) = 0.
-2/5, 3
Let i(n) = -11*n**2 + 191*n + 126. Let h be i(18). Factor h + 1/6*w**5 + 7/6*w**3 + 0*w + 5/6*w**4 + 1/2*w**2.
w**2*(w + 1)**2*(w + 3)/6
Let t be -1198 + 1200 + (4/18 - 292/180). Suppose 0 + 1029/5*z - 441/5*z**2 + 63/5*z**3 - t*z**4 = 0. Calculate z.
0, 7
Suppose -2*x + 3*u - 11 = 0, -2*u + 29 = 2*x + 3*u. Suppose x = -f + 17. Factor -29*j**2 - 4*j**4 - 4*j**3 + 18*j**2 + f*j**2 + 4*j**5.
4*j**2*(j - 1)**2*(j + 1)
Let n be 3 + (-2)/(-1 - -3). Factor -176*h**n + h**4 + h**5 + 176*h**2.
h**4*(h + 1)
Suppose 216 - 100*o**3 - 408*o - 500*o**4 + 1260*o**2 - 172*o - 392*o = 0. What is o?
-2, 3/5
Factor -20*r**2 + 67576*r**3 + 45*r**4 - 67721*r**3 + 50*r**2.
5*r**2*(r - 3)*(9*r - 2)
Let o = -1303 - -6521/5. Let -8/5*m**2 - 2/5*m**3 - o*m + 0 = 0. Calculate m.
-3, -1, 0
Let q = -131 - -158. Suppose q*a - 6 = 25*a. Suppose 4/5*r**2 - 2/5*r + 0 - 2/5*r**a = 0. What is r?
0, 1
Let k be (-1 - 7/(-2))/((-2)/148). Let l = 929/5 + k. Factor -l*a**2 - 18/5*a**3 + 0 - 24/5*a**4 - 2*a**5 + 0*a.
-2*a**2*(a + 1)**2*(5*a + 2)/5
Let o be ((-5)/10)/(80/66). Let h = -1/80 - o. Factor 0*d**2 - h*d**5 + 0*d - 2/5*d**3 + 4/5*d**4 + 0.
-2*d**3*(d - 1)**2/5
Let v(b) = -4 + 10*b**2 + 5*b**3 - 8*b**2 + 2*b - 7*b**2. Let n(k) = 9*k**3 - 9*k**2 + 3*k - 7. Let i(p) = 4*n(p) - 7*v(p). Factor i(d).
d*(d - 2)*(d + 1)
Suppose 4*b - b - 10 = 2*n, 0 = -4*n + 4. Factor -4*w**4 + 22*w**b - 3*w**5 - w**2 + w**2.
-3*w**4*(w - 6)
Let o(v) be the first derivative of 1 - 1/12*v**3 - 49/4*v - 7/4*v**2. Factor o(r).
-(r + 7)**2/4
Let z = 3 - 3. Suppose -4*w + 8 = 2*t, -2*w - 3*t + 6 - 2 = z. Factor -5*x - 5*x + 3*x**w + x.
3*x*(x - 3)
Let c(k) be the third derivative of -k**8/56 - k**7/5 - 19*k**6/60 - 11*k**5/54 - k**4/18 - 2*k**2 - 9*k. Factor c(s).
-2*s*(s + 6)*(3*s + 1)**3/9
Let z(v) be the first derivative of 11*v**4/4 - 2*v**3 - 5*v**2/2 - 49. What is l in z(l) = 0?
-5/11, 0, 1
Determine v so that -5808 + 228*v**2 + 2/11*v**4 - 1144*v - 12