- 3)*(4*p - 1)
Suppose 0 = -3*x + 20 - 14. Let d(u) be the first derivative of 0*u - 2 + 1/12*u**3 + 0*u**x. What is k in d(k) = 0?
0
Let c(z) be the first derivative of -z**6/12 + z**5/5 + z**4/8 - z**3/3 - 4. Solve c(v) = 0 for v.
-1, 0, 1, 2
Let 11/4*m**2 - 9 - 1/4*m**4 - 3*m + 1/2*m**3 = 0. Calculate m.
-2, 3
Let k = 3 - 1. Factor -k - 2 + 4 - i**2.
-i**2
Factor -11/2*n + 11/2*n**3 - n**2 + 1.
(n - 1)*(n + 1)*(11*n - 2)/2
Let t(y) be the first derivative of 5*y**5/6 - 5*y**4/3 + 4*y**3/3 + y**2/2 - 5. Let r(m) be the second derivative of t(m). Factor r(j).
2*(5*j - 2)**2
Let i be 9 - 12 - (-6 - -1). Find j such that -2*j - 3*j + 3*j - 1 - j**i = 0.
-1
Let s(j) be the third derivative of j**5/100 + 3*j**4/40 - 2*j**3/5 + 13*j**2. Suppose s(a) = 0. What is a?
-4, 1
Suppose -5*c + 4*a - 10 + 43 = 0, -5*c - 5*a = -15. Find x such that 12*x**3 + 2*x**2 + 3*x - 12*x**2 - c*x**2 = 0.
0, 1/4, 1
Let j = 20/3 - 19/3. Let 0 - 1/6*l**2 + j*l - 1/6*l**3 = 0. Calculate l.
-2, 0, 1
Let y = -29 - -92. Let p be (-2)/(-8)*84/y. Determine g, given that 3 + p*g**2 + 2*g = 0.
-3
Let r = -8 - -25/3. Let t(v) be the first derivative of r*v**2 - 2/15*v**5 + 0*v - 1 - 2/3*v**3 + 1/2*v**4. Let t(q) = 0. What is q?
0, 1
Suppose 18*n = 16*n + 4. Find l, given that 3/2*l**n - 15/4*l**4 - 9/4*l**3 + 0*l + 0 = 0.
-1, 0, 2/5
Let a be 1/4 + (-2 - (-7)/4). Factor 0*l - 1/5*l**2 - 1/5*l**3 + a.
-l**2*(l + 1)/5
Suppose 0*d - 2/5 + 2/5*d**2 = 0. What is d?
-1, 1
Let u(f) be the first derivative of -2*f**5/5 + f**4/4 + f**3 + 3*f**2/2 + 3*f - 4. Let l(n) = n**3 - n**2 - n - 1. Let z(w) = 3*l(w) + u(w). Factor z(x).
-2*x**3*(x - 2)
Let p(o) be the first derivative of -250*o**6/3 - 320*o**5 - 485*o**4 - 1112*o**3/3 - 152*o**2 - 32*o + 13. What is d in p(d) = 0?
-1, -2/5
Let b(j) = j**4. Let i be 40/(-2)*10/25. Let d(r) = -4*r**4 - 24*r**3 + 52*r**2 - 48*r + 16. Let s(n) = i*b(n) - d(n). Find u such that s(u) = 0.
1, 2
Let y be ((-30)/(-125))/(6/20). Let d be 1 + (4 - (0 + 5)). Find v such that 2/5*v**3 - y - 6/5*v + d*v**2 = 0.
-1, 2
Let n(b) be the second derivative of b**7/42 + b**6/30 - b**5/20 - b**4/12 + 17*b. Determine v so that n(v) = 0.
-1, 0, 1
Let t be -1 + (-20)/375*-6. Let w = 253/225 + t. Factor w*d + 0 - 14/9*d**2.
-2*d*(7*d - 2)/9
Let m be ((-15)/9)/((-3)/9). Factor 2/7*t**m - 8/7*t**4 + 4/7*t**2 - 10/7*t + 4/7 + 8/7*t**3.
2*(t - 2)*(t - 1)**3*(t + 1)/7
Let t(n) be the third derivative of -5*n**8/336 + n**7/7 - 38*n**2. Let t(b) = 0. Calculate b.
0, 6
Let a(d) = d**5 - d**3 - d**2. Let n(f) = 6*f**5 - f**4 - 8*f**3 - 2*f. Let x(m) = -10*a(m) + 2*n(m). Factor x(o).
2*o*(o - 1)**3*(o + 2)
Let m(t) = 10*t**3 - 16*t**2 - t - 7. Let a(w) = 5 - 3 + 5*w**2 - 3*w**3 + 0*w**3. Let l(g) = 14*a(g) + 4*m(g). Factor l(s).
-2*s*(s - 2)*(s - 1)
Let a(y) be the third derivative of -2*y**6/3 + 2*y**5 - 15*y**4/8 + 5*y**3/6 - 2*y**2. Factor a(h).
-5*(h - 1)*(4*h - 1)**2
Let b(s) be the second derivative of -1/36*s**4 - 6*s - 8/3*s**2 + 0 - 4/9*s**3. Factor b(p).
-(p + 4)**2/3
Let i(a) = -a**3 - 6*a**2 + 6*a - 4. Let z be i(-7). Factor z*v**3 + 4*v**3 - 6*v**3.
v**3
Factor 0*z - 8/3*z**4 + 0 - 4/3*z**2 + 10/3*z**3 + 2/3*z**5.
2*z**2*(z - 2)*(z - 1)**2/3
Let b(g) = -3*g**4 + 9*g**3 - 9*g**2 + g + 2. Let v(k) = -6*k**4 + 18*k**3 - 18*k**2 + k + 5. Let y(w) = 5*b(w) - 2*v(w). Suppose y(z) = 0. What is z?
0, 1
Let i(a) be the first derivative of -3*a**4/4 + 9*a**2/2 - 6*a + 16. What is c in i(c) = 0?
-2, 1
Let j(y) be the third derivative of -y**7/98 + y**6/35 + y**5/35 + 2*y**2 - 26*y. Suppose j(m) = 0. What is m?
-2/5, 0, 2
Let l = -2 - -5. Let d be ((-1)/l)/((-2)/12). Factor -24*i**4 + 6*i**3 + 8*i**3 + 4*i**3 - 4*i**d + 10*i**5.
2*i**2*(i - 1)**2*(5*i - 2)
Suppose 0*l = -2*l - 5*m + 15, -4*l = 4*m - 12. Let d(v) be the third derivative of 1/84*v**4 - 3*v**2 + l*v + 0*v**3 - 2/105*v**5 + 0. Factor d(w).
-2*w*(4*w - 1)/7
Factor 0 + 0*h + 0*h**3 + 0*h**2 + 2/3*h**4.
2*h**4/3
Let d = 40 + -38. Factor -d*j - 3/2 - 1/2*j**2.
-(j + 1)*(j + 3)/2
Let v be -8 - (0 + 2 + 0). Let q = 18 + v. Let -10*x**3 - x + x - q*x**4 - 2*x**2 = 0. What is x?
-1, -1/4, 0
Let p be (-4)/(-6) - 56/(-42). Solve -4*c**2 + c**p + c**5 + 3*c**2 = 0 for c.
0
Suppose 0*p - 3*i = 2*p - 7, -2*p = -4*i - 28. Suppose -b = 3*q - 10, 8 = 4*b - p. Solve 1/2*h**3 - q*h**2 + 5/2*h - 1 = 0 for h.
1, 2
Let c be (-12)/(-66) - (-25)/44. Determine v, given that -3/4*v + c*v**2 + 0 = 0.
0, 1
Let v(x) be the third derivative of -x**7/105 + x**5/30 - 5*x**2. Determine u so that v(u) = 0.
-1, 0, 1
Factor 0 - 8/3*q**2 + 2/3*q**5 + 2*q**4 + 0*q + 0*q**3.
2*q**2*(q - 1)*(q + 2)**2/3
Suppose 8/7*f**2 - 16/7*f**3 - 2/7*f**5 + 10/7*f**4 + 0*f + 0 = 0. What is f?
0, 1, 2
Suppose -a = -0*a - 2. Find c, given that 2*c**a + 3*c**5 + 0*c**3 - 3*c**4 + 0*c**3 - 3*c**3 + c**2 = 0.
-1, 0, 1
Suppose -32 = -6*s - 2*s. Suppose 0 = -5*m + 6 + 4. Suppose -1/6*q**s + 1/6*q**m + 0 - 1/6*q**3 + 1/6*q = 0. What is q?
-1, 0, 1
Let x be (-2)/14 - (-1)/7. Let i(k) be the second derivative of 0*k**3 + 2*k + 1/70*k**5 + 1/42*k**4 + 0*k**2 + x. Factor i(o).
2*o**2*(o + 1)/7
Let l(j) be the first derivative of 0*j**2 + 1/2*j**3 - 3/2*j - 3. Factor l(g).
3*(g - 1)*(g + 1)/2
Let o(n) be the third derivative of n**8/3192 - 4*n**7/1995 + n**6/190 - 2*n**5/285 + n**4/228 + 12*n**2. Factor o(i).
2*i*(i - 1)**4/19
Let i be 1*(3 - 2)*-2. Let o = i - -4. Factor 2 + 2*x**3 + 3*x**o + 9*x + x**3 + 1 + 6*x**2.
3*(x + 1)**3
Let s(y) be the first derivative of -y**5/30 - y**4/9 - 4*y**3/27 + y**2 + 5. Let r(i) be the second derivative of s(i). Factor r(o).
-2*(3*o + 2)**2/9
Let l(g) be the second derivative of g**4/24 + g**3/3 + 15*g. Let l(d) = 0. Calculate d.
-4, 0
Suppose 0 = 28*x - 24*x - 8. Find i, given that 1/2*i**4 + 0*i - 1/2*i**x - 3/4*i**3 + 0 + 3/4*i**5 = 0.
-1, -2/3, 0, 1
Let t be 3*9/(-7) + -1. Let c = -292/63 - t. Factor 2/3*k - 2/3*k**2 - c + 2/9*k**3.
2*(k - 1)**3/9
Let x be (2/(-6))/(4/(-72)). Factor 6*d - 2 - 3*d**2 - 1 - x*d**3 + 7*d**2 - 1.
-2*(d - 1)*(d + 1)*(3*d - 2)
Solve 3*r + 21*r**4 - 81*r**4 + 165*r**3 - 99*r**2 - 15*r**4 + 6 = 0 for r.
-1/5, 2/5, 1
Let o(i) be the third derivative of i**8/28 - 3*i**7/70 + i**6/80 - 9*i**2. Solve o(q) = 0.
0, 1/4, 1/2
Let t be 0*2/(-12)*-3. Let y(c) be the first derivative of -3 + 0*c + t*c**4 + 1/10*c**5 + 0*c**3 + 0*c**2 + 1/3*c**6. Factor y(q).
q**4*(4*q + 1)/2
Solve 10 - i**2 - 3*i + 0 - 6 = 0.
-4, 1
Let n(o) be the second derivative of -o**5/270 + o**4/36 - 4*o**2 - 2*o. Let y(x) be the first derivative of n(x). Factor y(p).
-2*p*(p - 3)/9
Let a = -47/4129 - -651134/978573. Let j = a - -1/79. Determine m, given that 0 + 2/3*m**2 - j*m = 0.
0, 1
Suppose v + 3*v = 12. Factor -3*q**2 - v*q**3 - 2*q - 2*q**2 - 25 + 25.
-q*(q + 1)*(3*q + 2)
Let l be 8/(-3)*6/(-4). Suppose 3*i**l + 5*i**3 - 5*i**4 + i**3 - 3*i**5 + 5*i**4 = 0. What is i?
-1, 0, 2
Let i be ((-3 + 2)*0)/2. Factor 0*q**2 + i*q**4 + 0 + 0*q - 1/6*q**3 + 1/6*q**5.
q**3*(q - 1)*(q + 1)/6
Suppose 0 = 2*z - 3 - 1, -5*b = -5*z. Solve h + 3*h - 4*h**2 + 4*h**2 + 2*h**b = 0.
-2, 0
Let f(m) be the first derivative of 2*m**5/55 - 2*m**4/11 + 4*m**3/11 - 4*m**2/11 + 2*m/11 + 8. Determine i so that f(i) = 0.
1
Let r(j) be the first derivative of j**6/120 - j**5/40 - j**3/3 - 2. Let c(f) be the third derivative of r(f). Determine v, given that c(v) = 0.
0, 1
Let l(z) = z**4 - 6*z**3 + 3*z**2 + 2*z. Let b(x) = 6*x**3 - 3*x**2 - 3*x. Let p be -1 - 2*1/2. Let t(i) = p*b(i) - 3*l(i). Factor t(a).
-3*a**2*(a - 1)**2
Let r(a) = a**2 - 3*a + 2. Suppose -9 = -7*f + 4*f. Let g be r(f). Factor 0*v + 0 - 1/4*v**g - 1/4*v**3.
-v**2*(v + 1)/4
Let k = -5/2 - -13/4. Let p = -1/2 + k. Suppose -1/2 - p*x + 1/4*x**2 = 0. What is x?
-1, 2
Suppose 13*o - 12 = 14. Factor -2/5 + 7/5*g - g**o.
-(g - 1)*(5*g - 2)/5
Let n(h) be the first derivative of 2*h**5/5 - h**4/2 - 4*h**3/3 + 7. Factor n(j).
2*j**2*(j - 2)*(j + 1)
Factor -2*m**3 - 3*m + 1 - 5*m**3 - 9*m**2 + 2*m**3.
-(m + 1)**2*(5*m - 1)
Determine o, given that -16*o**3 + 0 - 4/3*o**2 - 12*o**4 + 8/3*o = 0.
-1, -2/3, 0, 1/3
Suppose 16/3*z**2 + 8*z**3 + 1/3*z**5 + 0 + 3*z**4 + 0*z = 0. What is z?
-4, -1, 0
Let x(s) be the first derivative of -2 + 1/2*s**2 + 1/3*s**3 - 1/4*s**4 - s. Find n such that x(n) = 0.
-1, 1
Factor -2/17*c**2