-4*k**2 + 3*k**2 - 5*k + 4*k.
-k*(k + 1)
Factor 1/4*q + 3/2 - 1/4*q**2.
-(q - 3)*(q + 2)/4
Let o(g) = g**3 - g**2 - g. Let d(x) = -5*x**3 + 18*x - 8. Let m(w) = d(w) + 6*o(w). Factor m(k).
(k - 2)**3
Let b(v) be the third derivative of v**7/70 - v**5/20 - 5*v**2. Suppose b(q) = 0. Calculate q.
-1, 0, 1
Let t be (-4 + 48/20)/(-2). Let j(r) be the first derivative of r**2 - 1 + 0*r - t*r**5 - 1/3*r**6 + 4/3*r**3 + 0*r**4. Factor j(h).
-2*h*(h - 1)*(h + 1)**3
Let b be 2 + (-24)/7 - 2*-1. Factor 2/7*f**3 - b*f**2 + 0 + 0*f.
2*f**2*(f - 2)/7
Let z = 837/39130 + 12/559. Let b(w) be the third derivative of 0 + 1/420*w**6 + 9/28*w**4 + 0*w - 3*w**2 - 9/7*w**3 - z*w**5. Let b(a) = 0. Calculate a.
3
Let h(v) = 2*v**2 + 2. Let t be h(2). Suppose -t = -0*j - 5*j. Factor -2*c**j + 8 + c**2 - 4*c + 3*c**2 - 6.
2*(c - 1)**2
Let v = 5 - 4. Let r be (v/(-7))/((-18)/63). What is b in 1/2*b**3 - r*b**2 + 0 - b = 0?
-1, 0, 2
Let q(u) be the second derivative of -u**5/15 - u**4/9 + 4*u**3/9 + 11*u. Solve q(y) = 0 for y.
-2, 0, 1
Let r(c) be the third derivative of 1/12*c**4 + 1/420*c**6 + 4*c**2 + 0 - 1/7*c**3 + 0*c - 1/42*c**5. Find l, given that r(l) = 0.
1, 3
Let t(g) be the first derivative of 77/2*g**3 - 147/8*g**4 + 6*g - 4 - 24*g**2. Factor t(k).
-3*(k - 1)*(7*k - 2)**2/2
Let a(k) be the third derivative of -1/24*k**4 - k**2 + 1/120*k**6 + 0 + 0*k**5 + 0*k - 1/12*k**3 + 1/420*k**7. Suppose a(j) = 0. What is j?
-1, 1
Let d(a) = a**2 + 4*a - 1. Let q be d(-3). Let s(f) = f**4 - f**2. Let v(w) = 2*w**4 - 2*w**2. Let k(m) = q*v(m) + 9*s(m). Factor k(c).
c**2*(c - 1)*(c + 1)
Let f = -36 - -498. Let -16*i**2 - 15*i**2 + 1323*i**4 + 24*i - f*i**3 - 29*i**2 = 0. What is i?
-2/9, 0, 2/7
Let a be 7*3*(-4)/(-42). Factor 0*s**a - 6*s**2 + s**3 - 3*s**3 + 4*s**2.
-2*s**2*(s + 1)
Let l(k) be the second derivative of -k**4/66 - 2*k**3/11 - 5*k**2/11 + 25*k. Factor l(z).
-2*(z + 1)*(z + 5)/11
Let w(s) = s + 8. Let l be w(-5). Suppose -y**3 + 0*y**l - y**2 + y**4 + y**3 = 0. What is y?
-1, 0, 1
Let a be (-4)/18 + (-203)/(-63). Factor -8*h + a - 7 + 3*h - 4*h**2 - 3*h.
-4*(h + 1)**2
Suppose 0 = -25*j + 23*j. Suppose 0 + 2/9*o**3 + 2/9*o**2 + j*o = 0. What is o?
-1, 0
Find p such that 7*p**2 + 9*p**2 - 17*p**2 = 0.
0
Let s(v) be the third derivative of 2*v**5/45 - 7*v**4/36 - 2*v**3/9 - 18*v**2. Factor s(y).
2*(y - 2)*(4*y + 1)/3
Let w(x) be the first derivative of -14*x**3/3 + 2*x**2 + 52. Factor w(s).
-2*s*(7*s - 2)
Let q(b) = b**3 + 4*b**2 + 3*b - 4. Let m be q(-3). Let g = m - -4. Determine d so that g*d**3 + d**2 - 1/2 - 1/2*d**4 + 0*d = 0.
-1, 1
Let d(m) be the third derivative of 7*m**8/144 - m**7/5 + 109*m**6/360 - m**5/5 + m**4/18 + 7*m**2. Factor d(s).
s*(s - 1)**2*(7*s - 2)**2/3
Let z be 33/8 + (-2)/16. Let f(u) be the first derivative of -2 + 1/2*u**2 - 3*u**z - 1/3*u**3 + 0*u. Let f(i) = 0. Calculate i.
-1/3, 0, 1/4
Let n = -2 + 4. Suppose 2/7*x + 0*x**n + 0*x**4 + 0 + 2/7*x**5 - 4/7*x**3 = 0. Calculate x.
-1, 0, 1
Let q(j) be the first derivative of j**6/39 - 2*j**5/13 + 5*j**4/13 - 20*j**3/39 + 5*j**2/13 - 2*j/13 - 5. Factor q(m).
2*(m - 1)**5/13
Let p(h) be the first derivative of h**4/30 + h**3/15 - 2*h**2/5 + 2*h - 2. Let i(o) be the first derivative of p(o). Factor i(s).
2*(s - 1)*(s + 2)/5
Let i be -3*3*(-1)/270. Let d(z) be the second derivative of 0 - i*z**4 - 2/15*z**3 - 1/5*z**2 - 3*z. Determine k, given that d(k) = 0.
-1
Factor -10*h**4 + 5*h - 20 - 25*h**4 - 125*h**2 + 58*h**3 + 37*h**3 + 5*h**5 + 75*h.
5*(h - 2)**2*(h - 1)**3
Let h(d) be the first derivative of d**4/4 + 5*d**3/6 + d**2/2 - 6. Let h(j) = 0. Calculate j.
-2, -1/2, 0
Solve -8/7*d**4 - 62/7*d**3 - 152/7*d**2 - 102/7*d + 36/7 = 0.
-3, -2, 1/4
Suppose 8*w - 23*w + w**3 + 10 + w**3 + 3*w**3 = 0. Calculate w.
-2, 1
Factor z**3 + 6 - z**2 - 11 + 6 - z.
(z - 1)**2*(z + 1)
Let z be (1/6)/(3/6). Factor z*n**5 + n**3 + 0*n - 1/3*n**2 + 0 - n**4.
n**2*(n - 1)**3/3
Let i(s) = -s**3 - 2*s**2 - s + 1. Let z(k) = k - 1. Suppose 4*x + 2 + 2 = 0. Let v = 4 + x. Let b(g) = v*z(g) + 3*i(g). Determine t, given that b(t) = 0.
-2, 0
Let a(v) be the second derivative of v**6/240 + v**5/120 - 2*v**2 + v. Let b(q) be the first derivative of a(q). Let b(s) = 0. What is s?
-1, 0
Let k be ((-2)/(-3))/(2/6). Let q be (16/280)/((-2)/(-10)). Factor q + 0*x - 2/7*x**k.
-2*(x - 1)*(x + 1)/7
Let i = -41 + 125/3. What is j in 4/9 + 2/9*j**2 + i*j = 0?
-2, -1
Factor -2/3*i**3 - 2/9*i + 2/3*i**2 + 2/9*i**4 + 0.
2*i*(i - 1)**3/9
Let i(u) = -10*u**3 + 375*u**2 - 540*u + 45. Let l(r) = r**3 - 34*r**2 + 49*r - 4. Let b(x) = 4*i(x) + 45*l(x). Find k, given that b(k) = 0.
0, 3
Let w(q) be the third derivative of -q**8/1680 + q**6/300 - q**4/120 - 10*q**2. Factor w(n).
-n*(n - 1)**2*(n + 1)**2/5
Let r(i) be the first derivative of -i**3/3 + 2*i**2 - 28. Find u, given that r(u) = 0.
0, 4
Let z(w) be the second derivative of -w**7/28 + w**6/30 - w. Factor z(n).
-n**4*(3*n - 2)/2
Suppose 2 = 4*v + b - 19, 4*v - 11 = b. Suppose 3*j = -3*g + 18, 3 = v*g - 3*j - 0*j. Factor -12*k**2 - 12*k**4 + k**5 + 2*k**5 + 15*k**g + 6*k**2.
3*k**2*(k - 2)*(k - 1)**2
Let g(t) be the second derivative of -5*t**4/12 + 5*t**3/2 + 12*t. Factor g(r).
-5*r*(r - 3)
Let y(r) = 6*r**2 + 2*r + 2. Let w(o) = o**3 - 13*o**2 - 5*o - 5. Let n(q) = -2*w(q) - 5*y(q). Factor n(g).
-2*g**2*(g + 2)
Determine j so that 24*j + 66*j**2 + 49*j**3 - 76*j + 28*j**3 + 8 - 49*j**4 + 0 = 0.
-1, 2/7, 2
Let o(d) be the first derivative of -d**5/45 + d**4/18 + d**3/9 + 19. Solve o(h) = 0.
-1, 0, 3
Let h(n) be the second derivative of -n**5/40 - 5*n**4/24 - 2*n**3/3 - n**2 + 13*n. Let h(p) = 0. Calculate p.
-2, -1
Let p(n) be the third derivative of -1/180*n**5 + 0*n - n**2 + 0*n**3 - 1/360*n**6 + 0*n**4 + 0. Let p(w) = 0. Calculate w.
-1, 0
Let u(r) be the second derivative of -r**4/8 - 2*r**3 - 12*r. Find d such that u(d) = 0.
-8, 0
Let n be -1 - ((-42)/18 - 3). Determine c, given that -11/3*c - 4/3*c**3 - n*c**2 - 2/3 = 0.
-2, -1, -1/4
Let -1/6*b - 1/6*b**2 + 1/3 = 0. What is b?
-2, 1
Let u(r) be the third derivative of -r**8/896 - r**7/560 + r**6/160 - 8*r**2. Let u(b) = 0. What is b?
-2, 0, 1
Suppose 3*j + 7 = 16. Let d(x) be the first derivative of 0*x - 2/3*x**2 + 3 - 2/9*x**j. Factor d(o).
-2*o*(o + 2)/3
Suppose -p = 2*p - 6. Let y = 1 + p. Factor -2/9*m**5 + 0 + 8/9*m**2 - 4/3*m**y + 8/9*m**4 - 2/9*m.
-2*m*(m - 1)**4/9
Let r(h) be the first derivative of -2*h**5/25 - 11*h**4/5 - 112*h**3/5 - 98*h**2 - 686*h/5 - 15. Find v such that r(v) = 0.
-7, -1
Let k(r) = -15*r**3 + 45*r**2 - 29*r + 7. Let b(a) = -31*a**3 + 91*a**2 - 57*a + 13. Let i(l) = -3*b(l) + 5*k(l). Find t, given that i(t) = 0.
1/3, 2
Let t(p) be the first derivative of -p**4/6 + 10*p**3/9 - 8*p**2/3 + 8*p/3 - 10. Factor t(r).
-2*(r - 2)**2*(r - 1)/3
Let j(p) be the first derivative of -13*p**3/3 - 9*p**2/2 - 7*p + 6. Let b(t) = 7*t**2 + 5*t + 4. Let r(u) = -11*b(u) - 6*j(u). Factor r(s).
(s - 2)*(s + 1)
Let u(l) be the first derivative of 1 - 3/16*l**4 + 3/4*l - 1/4*l**3 + 3/8*l**2. Factor u(m).
-3*(m - 1)*(m + 1)**2/4
Let f be (-3)/6 - (-17)/2. Let i be f - 12/(-9)*-3. Find m, given that 0*m**i + 2/3*m**3 - 1/3*m**5 + 0 - 1/3*m + 0*m**2 = 0.
-1, 0, 1
Let q(b) be the first derivative of 0*b**2 + 5 + 0*b + 0*b**3 - 2/7*b**6 - 27/35*b**5 - 3/14*b**4. Solve q(z) = 0.
-2, -1/4, 0
Let b(w) = -w**3 + 12*w**2 - w + 14. Let r be b(12). Suppose -3 + 3*j + j**4 - 4*j - j**5 + r + 2 - 2*j**2 + 2*j**3 = 0. Calculate j.
-1, 1
Let r(q) be the second derivative of q**7/315 - q**6/360 - q**5/60 + q**4/72 + q**3/18 + 7*q**2/2 + 7*q. Let v(f) be the first derivative of r(f). Factor v(b).
(b - 1)**2*(b + 1)*(2*b + 1)/3
Find f such that -2/9*f**3 + 2/9*f + 0*f**2 + 0 = 0.
-1, 0, 1
Let y = -49/30 + 11/6. Suppose -4*s - 2 = -d - 0*d, 3*s + 4 = 2*d. Suppose y*l + 0 - 3/5*l**d = 0. What is l?
0, 1/3
Let q be (-8 + (-1 - -1))/(-1). Let w = -4 + q. Factor 3*v + 0*v + 2*v**w - 2*v**2 - 3*v.
2*v**2*(v - 1)*(v + 1)
Let u(a) = -16*a**2 - 25*a + 3. Suppose -8*v + 4*v = -24. Let h(f) = 8*f**2 + 12*f - 2. Let n(x) = v*u(x) + 11*h(x). Factor n(k).
-2*(k + 2)*(4*k + 1)
Let f = -16 - -5. Let s(h) = -h**3 - 10*h**2 + 12*h + 13. Let j be s(f). Let 1/4*w**j + 1/4*w - 1/2 = 0. Calculate w.
-2, 1
Determine r, given that -3/2 - 24*r - 96*r**2 = 