ivative of 1/100*l**5 + 0 + 1/15*l**3 - 1/20*l**4 + l + 0*l**2. What is q in a(q) = 0?
0, 1, 2
Suppose -87 = -3*j + 2*x, -x + 145 = 2*j + 3*j. Factor 3*i**2 + 12*i**5 + 2*i + 41*i**3 + 12*i**2 + j*i**4 - 8*i**3 - 3*i**5.
i*(i + 1)**3*(9*i + 2)
Suppose -2 - 7*n**3 + 0 - 9*n + 12*n**2 + 0*n + 6*n = 0. Calculate n.
-2/7, 1
Let o be (168/(-16))/7 + (0 - -3). Let m(g) be the first derivative of g**3 + o*g**2 + 0*g - 4. Determine v so that m(v) = 0.
-1, 0
Let g(o) be the second derivative of -1/9*o**4 + 1/15*o**6 + 2*o - 1/3*o**2 + 0 - 1/63*o**7 + 1/3*o**3 - 1/15*o**5. Solve g(v) = 0.
-1, 1
Let d(h) be the first derivative of 5*h**4/12 + 40*h**3/3 + 160*h**2 + 2560*h/3 - 3. Suppose d(f) = 0. Calculate f.
-8
Let n be (-4)/(-22) + 50/88. Factor 1/2 + n*q**3 - 3/4*q - 1/4*q**2 - 1/4*q**4.
-(q - 2)*(q - 1)**2*(q + 1)/4
Let i be ((-20)/(-4) + -3)*5/30. Factor -i*q**5 + 0*q**3 + 2/3*q**4 + 0 + 1/3*q - 2/3*q**2.
-q*(q - 1)**3*(q + 1)/3
Let -1/4*f**3 - 1/4*f**2 - 3/4 + 5/4*f = 0. What is f?
-3, 1
Let 66/17*h**2 - 4/17*h**3 + 128/17 - 288/17*h = 0. Calculate h.
1/2, 8
Let l(h) be the second derivative of -h**6/195 + 2*h**5/65 - h**4/13 + 4*h**3/39 - h**2/13 + 5*h. Let l(p) = 0. Calculate p.
1
Let y(i) be the first derivative of -2*i**3/39 + 16*i**2/13 - 128*i/13 - 15. What is h in y(h) = 0?
8
Let u = -51 - -51. Let i(h) be the second derivative of -h**2 - 2*h + u - 2/3*h**3 - 1/6*h**4. Factor i(d).
-2*(d + 1)**2
Let q(m) be the first derivative of -m**6/12 + m**5 - 2*m**4 - m**3/3 + 17*m**2/4 - 4*m + 44. Factor q(z).
-(z - 8)*(z - 1)**3*(z + 1)/2
Let o(a) = 6*a**4 + 6*a**3 - 12*a**2 - 8*a + 4. Let b(s) = -12*s**4 - 13*s**3 + 23*s**2 + 16*s - 7. Let q(l) = 4*b(l) + 7*o(l). Factor q(u).
-2*u*(u - 1)*(u + 2)*(3*u + 2)
Let f = 93 + -90. Let t(r) be the first derivative of -1/6*r**f - 4 - 1/2*r**2 - 1/2*r. Suppose t(v) = 0. Calculate v.
-1
Let t(p) = -14*p. Let h be t(5). Let s be 2 - (-3 - h/15). Let 16/3*g**4 + s*g - 7/3*g**2 + 8/3*g**3 + 0 = 0. What is g?
-1, 0, 1/4
Let g(s) be the first derivative of -3*s**4/4 + s**3 - 4. Factor g(x).
-3*x**2*(x - 1)
Let c(x) = x**3 + 8*x**2 + 11*x - 3. Let b be c(-6). Factor -3/2*k - 1/2*k**b + 0 + 2*k**2.
-k*(k - 3)*(k - 1)/2
Let q(h) be the first derivative of 2*h**3/3 + 8*h**2 + 32*h - 3. Factor q(b).
2*(b + 4)**2
Let c(k) = 5*k**5 + 12*k**4 - 21*k**3 + 4*k**2 - 9. Let t(q) = q**5 + 3*q**4 - 5*q**3 + q**2 - 2. Let m(b) = -4*c(b) + 18*t(b). Factor m(n).
-2*n**2*(n - 1)**3
Determine i so that 1/2*i**2 - 1/4*i + 1/4*i**3 - 1/2 = 0.
-2, -1, 1
Let y(n) be the third derivative of -2*n**2 - 1/105*n**7 + 0 + 0*n**3 + 0*n**4 + 1/30*n**5 - 1/336*n**8 + 0*n + 1/120*n**6. Factor y(u).
-u**2*(u - 1)*(u + 1)*(u + 2)
Factor -8*k**2 + 9*k**2 + k**2 - 6*k.
2*k*(k - 3)
Suppose 0 = -16*o + 11*o. Determine q, given that -6*q**2 + 2*q**2 + 7*q**2 + o*q**2 = 0.
0
Find d such that 4/5 - 2/5*d**2 + 2/5*d = 0.
-1, 2
Let m(w) be the first derivative of -w**8/840 + w**6/90 - w**4/12 + w**3/3 - 5. Let h(s) be the third derivative of m(s). Factor h(y).
-2*(y - 1)**2*(y + 1)**2
Suppose 5 - 1 = 2*w. Factor 4*l + l**w - 3*l - 2*l**2.
-l*(l - 1)
Let b(l) be the third derivative of 1/180*l**6 + 2*l**2 - 1/60*l**5 + 0*l + 0 + 0*l**4 + 1/3*l**3. Let u(r) be the first derivative of b(r). Factor u(p).
2*p*(p - 1)
Let d(n) be the third derivative of n**6/720 - n**5/480 - n**4/96 - n**3/6 + 4*n**2. Let p(k) be the first derivative of d(k). Find z, given that p(z) = 0.
-1/2, 1
Let l(f) be the third derivative of f**2 + 0*f**6 + 0*f + 1/1680*f**7 + 0*f**5 + 1/3*f**3 + 0*f**4 + 0. Let d(r) be the first derivative of l(r). Factor d(p).
p**3/2
Let v(t) be the first derivative of -2*t**3/9 - 3. Let v(p) = 0. Calculate p.
0
Let m(y) be the first derivative of 1/6*y**3 + 1/6*y**2 - 1/36*y**4 + 1 - 1/20*y**5 - y. Let t(z) be the first derivative of m(z). Let t(b) = 0. Calculate b.
-1, -1/3, 1
Let q = 87 + -257/3. Factor q*u**4 + 0*u + 1/3*u**2 - 5/3*u**3 + 0.
u**2*(u - 1)*(4*u - 1)/3
Let t be (-1 - -3) + 4 + 52/(-10). Suppose 0*c - 4 = -c. What is f in -1/5*f**5 - 4/5*f**c + 2/5 - t*f**3 + f + 2/5*f**2 = 0?
-2, -1, 1
Let r(k) be the first derivative of 5*k**6/6 + 7*k**5 + 45*k**4/2 + 100*k**3/3 + 20*k**2 + 3. Factor r(v).
5*v*(v + 1)*(v + 2)**3
Let x(w) = -16*w**4 + 2*w**3 + 26*w**2 + 2*w - 10. Let u(j) = -15*j**4 + 2*j**3 + 26*j**2 + 3*j - 11. Let t(y) = 4*u(y) - 5*x(y). What is g in t(g) = 0?
-1, -1/2, 3/5, 1
Let f(d) be the second derivative of -d**6/120 + d**4/8 - d**3/3 - d**2 - 3*d. Let u(n) be the first derivative of f(n). Determine o so that u(o) = 0.
-2, 1
Let t(q) be the second derivative of -q**6/120 + q**5/40 - q**4/48 - 3*q. Find h, given that t(h) = 0.
0, 1
Let q(v) be the first derivative of -2/3*v**3 - 3/4*v**4 + 0*v**2 + 0*v - 3. Find j such that q(j) = 0.
-2/3, 0
Let q(u) = 2*u**2. Let l be q(1). Determine x so that 0*x**2 + x**l + 8*x**2 + 8*x**3 + x**2 + 2*x = 0.
-1, -1/4, 0
Let m be (0 + 0 - 0)*-1. Let f(i) be the second derivative of m + i + 1/150*i**6 + 0*i**5 - 1/60*i**4 + 0*i**3 + 0*i**2. Determine u so that f(u) = 0.
-1, 0, 1
Let r(t) be the second derivative of t**6/80 + 3*t**5/80 - t**3/8 - 3*t**2/16 + 14*t. Suppose r(u) = 0. Calculate u.
-1, 1
Suppose -2*u + 32 = -3*n, 0 = -3*u - 0*n + 2*n + 38. Let y be (-4)/(-2)*105/u. Factor y*g**4 + 45*g**2 + g - 57*g**3 - 5*g - 4 + g - 2.
3*(g - 1)**3*(7*g + 2)
Solve 0 + 5/3*o**2 - 2/3*o - 4/3*o**3 + 1/3*o**4 = 0 for o.
0, 1, 2
Let m(z) be the third derivative of 1/40*z**5 - 1/4*z**3 + 0*z**4 - 2*z**2 + 0 + 0*z. Factor m(w).
3*(w - 1)*(w + 1)/2
Let x(u) be the third derivative of -u**5/6 + 2*u**4/3 + 4*u**3/3 - 2*u**2. Factor x(t).
-2*(t - 2)*(5*t + 2)
Let u(l) be the third derivative of 0*l - 2*l**2 + 0 - 1/30*l**5 + 1/12*l**4 + 1/2*l**3 + 1/180*l**6. Let c(f) be the first derivative of u(f). Factor c(v).
2*(v - 1)**2
Let k be 2/4*(10 - 2). Let z(t) = -t**2 + t + 2. Let c be z(0). Let c*w**2 + w**2 - 2*w + w + w**k - 3*w**3 = 0. What is w?
0, 1
Let h(f) be the third derivative of -19*f**6/60 - 47*f**5/60 - 5*f**4/6 - 3*f**2. Let d(b) = 13*b**3 + 16*b**2 + 7*b. Let o(a) = 11*d(a) + 4*h(a). Factor o(x).
-3*x*(x + 1)*(3*x + 1)
Let w(n) be the third derivative of -n**8/84 - 2*n**7/15 - n**6/3 + 2*n**5/15 + 11*n**4/6 + 10*n**3/3 + 8*n**2. Solve w(l) = 0.
-5, -1, 1
Let b = -26 - -26. Let p(v) be the second derivative of 3*v + b + 0*v**3 + 0*v**2 + 1/20*v**5 + 1/28*v**7 + 0*v**4 + 1/12*v**6. Factor p(j).
j**3*(j + 1)*(3*j + 2)/2
Let y be (24/(-126))/(2/(-7)). Solve -2/3*m - 2/3 + 2/3*m**3 + y*m**2 = 0 for m.
-1, 1
Let r be 3 - (-5 - (-3 - 3)). Let t = -58 + 410/7. Find i such that t*i - 6/7*i**r + 2/7*i**3 + 0 = 0.
0, 1, 2
Let q(v) = -135*v**3 - 190*v**2 - 55*v - 55. Let b(h) = 5*h**3 + 7*h**2 + 2*h + 2. Let o(g) = -55*b(g) - 2*q(g). What is x in o(x) = 0?
-1, 0
Let p(x) be the third derivative of x**6/120 + x**5/10 + 7*x**4/24 + 2*x**3/3 - 2*x**2. Let n be p(-4). Factor -2 + 4*y + 4 + 4*y**3 - 2*y**4 - n*y**3.
-2*(y - 1)*(y + 1)**3
Let k(b) be the first derivative of b**4/6 + b**3/9 - 2*b**2/3 + b - 5. Let c(w) be the first derivative of k(w). Factor c(u).
2*(u + 1)*(3*u - 2)/3
Let v(r) be the first derivative of -r**4 - 32*r**3/3 - 32*r**2 - 2. Find a such that v(a) = 0.
-4, 0
Let c(f) be the second derivative of -f**4/4 + f**3/2 + 3*f**2 - 3*f. Factor c(i).
-3*(i - 2)*(i + 1)
Suppose 43 = 7*y + 1. Let r be (10/y)/(2/3). Let 2 - 6*j**3 + r*j**2 - 9/2*j**4 + 6*j = 0. Calculate j.
-1, -2/3, 1
Let j(q) be the second derivative of -q**6/1800 - q**5/600 - 5*q**3/6 - 3*q. Let w(f) be the second derivative of j(f). Solve w(z) = 0.
-1, 0
Let b(s) = -s**2 + 5*s + 3. Let r be b(5). Suppose 0 = -2*u + 5*n + 37 - 8, 0 = -4*n - 20. Factor -2*v + 2*v**2 + r*v**u + 7*v**3 + 0*v**2.
v*(v + 1)*(7*v - 2)
Factor -3/4*q**2 + 0 - q - 1/2*q**4 + 9/4*q**3.
-q*(q - 4)*(q - 1)*(2*q + 1)/4
Let l(d) = -25*d**3 + 68*d**2 - 23*d - 23. Let m(a) = -175*a**3 + 475*a**2 - 160*a - 160. Let p(g) = -20*l(g) + 3*m(g). Find r, given that p(r) = 0.
-2/5, 1, 2
Let f = 29/150 - 4/25. Let r(o) be the second derivative of -1/10*o**5 + 0*o**2 + 0 - o - f*o**6 - 1/12*o**4 + 0*o**3. Find n such that r(n) = 0.
-1, 0
Let q(d) be the second derivative of -d**9/15120 - d**8/3360 + d**6/360 + d**5/120 - d**4/6 - 3*d. Let u(j) be the third derivative of