- 2*k**4/3 + 2*k**3/3 + 4*k**2/3 - 8*k/3 + 3. Find w, given that n(w) = 0.
-1, 1, 2
Let r = -440/3 - -148. Let p(z) be the first derivative of -1 + 2/3*z**3 - 1/3*z**2 - r*z. Find u, given that p(u) = 0.
-2/3, 1
Let y(w) be the first derivative of -w**3 - 3*w**2 - 2. Solve y(x) = 0.
-2, 0
Let s(y) = 10*y**2 - 18*y - 6. Let d(j) = -10*j**2 + 19*j + 5. Let f(i) = -2*d(i) - 3*s(i). Determine h so that f(h) = 0.
-2/5, 2
Let c be (56/9 - 1) + (7 - 12). Factor -8/9*u**2 + 0 - 16/9*u**3 - 10/9*u**4 + 0*u - c*u**5.
-2*u**2*(u + 1)*(u + 2)**2/9
Let g(u) = -u**3 - 6*u**2 - 3*u + 3. Let j be g(-6). Let v be j/(-27)*(-4 - -1). Find t, given that 7/3*t - v*t**3 + 2/3 - 2/3*t**2 = 0.
-1, -2/7, 1
Suppose 3*l = -o - o + 4, o = -1. Let i(y) be the second derivative of y - 1/3*y**3 + 1/6*y**4 + 0 - l*y**2. Solve i(c) = 0 for c.
-1, 2
Let o be 4/(-160)*194*-4. Let k = o - 19. Let 6/5*y**2 + 6/5*y + 2/5*y**3 + k = 0. Calculate y.
-1
Let q = 16 - 10. Factor 7*i**4 + 0*i**2 + i**3 + 0*i**4 - q*i**4 - i**5 - i**2.
-i**2*(i - 1)**2*(i + 1)
Let l(o) = -o + 2. Let m be l(-2). Suppose 2/3*i**3 + 1/3*i**m + 1/3*i**2 + 0 + 0*i = 0. What is i?
-1, 0
Let f = -26 - -30. Let x(u) be the first derivative of -1/6*u**3 + 0*u - 1/16*u**f - 2 - 1/8*u**2. Factor x(v).
-v*(v + 1)**2/4
Factor -1/2*t**2 + 1/2*t**4 + 0*t**3 + 0*t + 0.
t**2*(t - 1)*(t + 1)/2
Let l(f) be the first derivative of f**5/20 + 13*f**4/60 + 2*f**3/15 - 2*f**2/5 + 3*f - 4. Let k(g) be the first derivative of l(g). Find m such that k(m) = 0.
-2, -1, 2/5
Let s(t) = -5*t - 13. Let c be s(-3). Factor 4/7 + 10/7*f**2 + c*f.
2*(f + 1)*(5*f + 2)/7
Solve -1/4*o**3 + 0 + 0*o**2 + 0*o = 0 for o.
0
Let s(k) be the third derivative of -k**5/12 - 5*k**4/24 + 29*k**2. What is w in s(w) = 0?
-1, 0
Let o(w) be the third derivative of -3*w**2 - 1/48*w**5 - 1/12*w**4 + 1/6*w**3 + 0 + 0*w. Let o(j) = 0. What is j?
-2, 2/5
Let k(g) be the second derivative of 2*g**6/45 + 2*g**5/15 - 4*g**3/9 - 2*g**2/3 + 28*g. Factor k(a).
4*(a - 1)*(a + 1)**3/3
Let a(r) be the first derivative of 2/3*r**3 + 0*r**2 + 6 + 1/5*r**5 + 0*r - 3/4*r**4. Determine i, given that a(i) = 0.
0, 1, 2
Let c = -2/275 - -829/550. Determine i so that -c*i**2 - i - 1/4 - 1/4*i**4 - i**3 = 0.
-1
Let y(g) be the second derivative of -g**4/48 + 5*g**3/24 + 3*g**2/4 - 5*g. Factor y(d).
-(d - 6)*(d + 1)/4
Let c(q) = -q**3 - q**2 - 3*q - 2. Let v be c(-2). Let a be (-100)/(-126) - v/36. Factor -a + 2/7*y + 4/7*y**2 - 2/7*y**3.
-2*(y - 2)*(y - 1)*(y + 1)/7
Let c = 15 - 12. Factor 0 + 0*t + 2/5*t**4 - 4/5*t**c + 0*t**2.
2*t**3*(t - 2)/5
Let x(t) be the first derivative of 8 + 0*t - 1/9*t**2 + 1/27*t**3. Factor x(c).
c*(c - 2)/9
Let z(y) = -y**3 - 7*y**2 + 3. Let t(s) = -s**3 - s**2 + 1. Let q(j) = -3*t(j) + z(j). Factor q(h).
2*h**2*(h - 2)
Let m be ((-200)/(-24))/(1/3). Suppose 2*f + 3*f = m. Solve -1/4*w**3 + 0*w + 0*w**2 - 1/4*w**f + 1/2*w**4 + 0 = 0 for w.
0, 1
Let v(y) be the first derivative of y**3/7 + 3*y**2/14 - 18*y/7 + 19. Factor v(o).
3*(o - 2)*(o + 3)/7
Suppose 7*d + 4*h - 8 = 6*d, -4*h = -8. Let 1/3*m**5 - 1/3*m**3 + d*m**2 + 0 + 0*m + 0*m**4 = 0. Calculate m.
-1, 0, 1
Let p(z) = -z - 3. Let c be 1/(((-4)/(-5))/(-4)). Let f be p(c). Find q, given that 1/2*q - 1/2*q**f + 0 = 0.
0, 1
Let k(j) = -5*j**2 + 6*j - 3. Let a(x) = -x**2 - 1. Let d(g) = 3*a(g) - k(g). What is z in d(z) = 0?
0, 3
Suppose 0 = -4*q - 0*q + 12. Suppose -4 = f - q*f. Factor 6*j**4 + 9*j**4 - 3 - 6*j**f - 12*j**3 - 6*j**4 + 12*j.
3*(j - 1)**2*(j + 1)*(3*j - 1)
Let t = 1 + 3. Let c be t + 3 + -2 + -2. Factor q**2 + 4*q**2 - 4*q - 2*q**c + 2 + 0 - 1.
-(q - 1)**2*(2*q - 1)
Let z(k) = -5*k**2 + 26*k - 45. Let n(h) = -5*h**2 + 27*h - 45. Let c(d) = -4*n(d) + 3*z(d). Determine w so that c(w) = 0.
3
Let g be ((-15)/10)/(6/(-8)). Let j be 5 - 3/(3/g). Factor -5*a**3 + a + a**5 + 3*a**3 + 0*a**j.
a*(a - 1)**2*(a + 1)**2
Let a(y) be the second derivative of -y**7/42 + 2*y**6/15 - 3*y**5/10 + y**4/3 - y**3/6 - 4*y. Factor a(j).
-j*(j - 1)**4
Let b(q) be the first derivative of q**3/9 - q**2/6 - 2*q/3 - 22. Find d, given that b(d) = 0.
-1, 2
Let b(o) be the second derivative of 5*o**4/12 + 5*o**3/2 + 5*o**2 + 30*o. Factor b(h).
5*(h + 1)*(h + 2)
Let r(f) be the first derivative of f**7/63 + 2*f**6/45 - f**5/10 - 2*f**4/9 + 4*f**3/9 + 9*f + 4. Let q(l) be the first derivative of r(l). Factor q(p).
2*p*(p - 1)**2*(p + 2)**2/3
Let f(d) be the third derivative of -d**8/10080 - d**7/1260 - d**6/360 - d**5/15 - 3*d**2. Let x(k) be the third derivative of f(k). Factor x(p).
-2*(p + 1)**2
Let n = 451 - 4055/9. Factor -10/9*f - 4/9 + 10/9*f**3 + n*f**2.
2*(f - 1)*(f + 1)*(5*f + 2)/9
Let v(d) = d**3 - 14*d**2 + 13*d + 2. Let t be v(13). Let o(m) be the first derivative of m**t + 1 - 2/3*m**3 + 2/5*m**5 + 0*m - 1/2*m**4. Factor o(f).
2*f*(f - 1)**2*(f + 1)
Let q be 3/(2 - (0 + 1)). Determine a, given that 2 - q*a**3 + a + a**2 - 3 + 2*a**3 = 0.
-1, 1
Let w = -71 + 74. Find z such that 2*z**w + 11/2*z + 1 + 13/2*z**2 = 0.
-2, -1, -1/4
Let y(v) be the second derivative of v**4/16 - v**3/4 + 3*v**2/8 - 5*v - 6. Factor y(o).
3*(o - 1)**2/4
Let q be (-7)/60*(-26)/637. Let r(a) be the third derivative of 0*a**3 + 0 + 0*a + a**2 + 0*a**4 + 0*a**6 + q*a**7 - 1/60*a**5. Suppose r(g) = 0. Calculate g.
-1, 0, 1
Let i(w) be the second derivative of 3*w**5/5 + 5*w**4/12 - w**3/3 + 3*w. Let i(l) = 0. What is l?
-2/3, 0, 1/4
Suppose 0 = -2*z + 5 + 9. Let t = z + -11. Let a(c) = 5*c**2 - 4*c. Let i(r) = 6*r**2 - 5*r. Let q(p) = t*i(p) + 5*a(p). Factor q(w).
w**2
Let w(c) be the second derivative of -c**10/45360 + c**8/5040 - c**6/1080 + c**4/12 - 2*c. Let j(i) be the third derivative of w(i). Let j(s) = 0. Calculate s.
-1, 0, 1
Let t(q) = 49*q**4 - 64*q**3 + 20*q**2 + 4*q - 4. Let y(x) = 50*x**4 - 65*x**3 + 20*x**2 + 5*x - 5. Let o(u) = -5*t(u) + 4*y(u). Factor o(r).
-5*r**2*(3*r - 2)**2
Let b(u) be the first derivative of -1/9*u**2 - 4/9*u + 1 + 2/9*u**3. Determine t so that b(t) = 0.
-2/3, 1
Let f be -1*3*5/405*-3. Let h(x) be the first derivative of -1/6*x**2 + 0*x + 3 - f*x**3 + 1/15*x**5 + 1/12*x**4. Solve h(n) = 0 for n.
-1, 0, 1
Let s(l) be the third derivative of -l**7/280 - l**6/160 + l**5/80 + l**4/32 - 4*l**2. Factor s(a).
-3*a*(a - 1)*(a + 1)**2/4
Let x be 44/5 - 8 - 2*-2. Factor x*q + 21/5*q**3 - 57/5*q**2 + 12/5.
3*(q - 2)*(q - 1)*(7*q + 2)/5
Let o(a) be the second derivative of -a**6/10 + 3*a**5/20 + 3*a**4/4 - 5*a**3/2 + 3*a**2 + 4*a. Factor o(c).
-3*(c - 1)**3*(c + 2)
Suppose -2*s + 9 = -5*j, 5*j + 0*j + 15 = 5*s. Factor -3*p**s - p**3 - p**2 + 3*p**2.
-p**2*(p + 1)
Determine h, given that 0 - h**4 - 1/3*h**3 + 2/3*h + h**2 - 1/3*h**5 = 0.
-2, -1, 0, 1
Let u(l) be the third derivative of -l**6/150 + l**5/25 - l**4/15 - 5*l**2. Find q, given that u(q) = 0.
0, 1, 2
Let t(n) = -n**3 + 11*n**2 + 12*n. Let o be t(12). Factor 1/2*y**2 - 1/2*y + o.
y*(y - 1)/2
Let h(l) be the first derivative of -l**4/34 - 4*l**3/51 + 3*l**2/17 - 25. What is y in h(y) = 0?
-3, 0, 1
Let m(c) be the third derivative of c**8/10080 - c**6/2160 + 2*c**3/3 + 4*c**2. Let q(a) be the first derivative of m(a). Determine p so that q(p) = 0.
-1, 0, 1
Suppose -3*p = q + 2*q + 9, 3*p - 4*q = 26. Suppose -3*s = p*s - 15. Factor -3*j**2 + 6*j**2 + j**s - 3*j**2 - j.
j*(j - 1)*(j + 1)
Let i be (-1)/2*12/(-2). Let t(o) be the third derivative of -o**2 + 0*o**i - 1/300*o**6 + 0*o + 1/60*o**4 + 0*o**5 + 0. Suppose t(f) = 0. What is f?
-1, 0, 1
Let n = -276/5 + 2007/35. Let t = -31/21 + n. Factor 0 + 4/3*i**3 - 2/3*i**2 + 0*i - t*i**4.
-2*i**2*(i - 1)**2/3
Let k be ((-3)/3 - 0)*-3. Let v(q) be the first derivative of 4/3*q - 14/3*q**2 + 1 + 49/9*q**k. Factor v(i).
(7*i - 2)**2/3
Suppose -4*b + 0 = -8. Factor 2*u**3 - 12*u**4 + 2*u**2 - b*u**5 + u**3 + 2*u**5 + 7*u**5.
u**2*(u - 1)**2*(7*u + 2)
Let j = 46 - 12. Factor -26 - 6*w - 38 + 4*w - 4*w**2 + j*w.
-4*(w - 4)**2
Let q(j) be the third derivative of -j**6/780 - j**5/390 + j**4/156 + j**3/39 + 26*j**2. Solve q(m) = 0 for m.
-1, 1
What is l in -2/3*l**3 + 4/3 + 1/3*l**4 - l**2 + 4/3*l = 0?
-1, 2
Determine y so that 67/5*y**3 - 108/5 - 13/5*y**4 + 1/5*y**5 - 171/5*y**2 + 216/5*y = 0.
2, 3
Suppose 0*j - 12 = -6*j. Let x(t) be the third derivative of 0 - 1/30*t**5 - j*t**2 + 0*t**3 + 0*t - 1/60*t**6 + 1