h = 0.
-3, 1, 2
Let w be 1 + (7 - 5) + 0 + 0. Let d(o) be the first derivative of -6 + 0*o**w - 3/7*o**2 + 1/14*o**4 - 4/7*o. Let d(l) = 0. What is l?
-1, 2
Let q(g) be the third derivative of -5*g**8/48 - 13*g**7/21 + 25*g**6/12 + 4*g**5/3 - 215*g**4/24 + 25*g**3/3 + 147*g**2. Suppose q(y) = 0. What is y?
-5, -1, 2/7, 1
Let a(x) be the second derivative of -x**5/210 + x**4/28 - 2*x**3/21 + 3*x**2/2 - x. Let s(v) be the first derivative of a(v). Factor s(c).
-2*(c - 2)*(c - 1)/7
Let n be ((-208)/(-105))/2 - 838/6285. Factor -2/7*i**2 + 0 + n*i.
-2*i*(i - 3)/7
Factor -68/5 + 36/5*n**2 + 2/5*n**3 + 6*n.
2*(n - 1)*(n + 2)*(n + 17)/5
Let j be (94/(-4))/(9/(-18)). Let b = j - 43. Factor 2/3*l**5 + b*l**3 + 2/3*l - 8/3*l**2 + 0 - 8/3*l**4.
2*l*(l - 1)**4/3
Let t(a) be the first derivative of 52/5*a**5 + 8/3*a**6 - 7 - 5*a**4 - 88*a**2 - 200/3*a**3 - 32*a. Let t(y) = 0. Calculate y.
-2, -1, -1/4, 2
Suppose -13/3*x - 1/3*x**2 + 14/3 = 0. Calculate x.
-14, 1
Let k(y) be the second derivative of y**4/4 + 8*y**3 + 2*y - 136. Determine b, given that k(b) = 0.
-16, 0
Let h = -5831 + 5833. Solve -2*d - 16/3*d**h + 0 - 32/9*d**3 = 0.
-3/4, 0
Let w(y) be the third derivative of y**6/210 + 3*y**5/35 - 8*y**4/7 + 104*y**3/21 + 325*y**2. Determine g so that w(g) = 0.
-13, 2
Let z(n) be the second derivative of -n**7/84 + 7*n**6/60 - 3*n**5/8 + 13*n**4/24 - n**3/3 - 82*n - 1. Let z(t) = 0. What is t?
0, 1, 4
Suppose f + 2*l = 10, -28 + 11 = -5*f + l. Let w be f + 2*(-4)/8. Factor d**3 - 2*d**w - 12*d**2 + 12*d - 4 + 0*d**3 + 5*d**3.
4*(d - 1)**3
Let s(m) be the first derivative of m**5/100 - m**4/8 + 2*m**3/5 + 6*m**2 - 2. Let z(f) be the second derivative of s(f). Suppose z(r) = 0. Calculate r.
1, 4
Let h be (28/7)/144*2*1. Let j(a) be the second derivative of 0*a**2 + 0 + 12*a + h*a**4 - 1/9*a**3. Factor j(u).
2*u*(u - 1)/3
Let v = 1524 + -1524. Factor -2/11*a**2 - 2/11*a + v + 2/11*a**4 + 2/11*a**3.
2*a*(a - 1)*(a + 1)**2/11
Let r(a) = a**3 + 5*a**2 + a. Let h(z) = -z**2. Let l be 3/2*28/(-42). Let j(y) = l*r(y) - 3*h(y). Factor j(m).
-m*(m + 1)**2
Suppose 0 = -4*f + 3*f + 3. Let d(q) = -q**3 + q**2 + q + 1. Let i be d(-1). Factor 0 + 1/2*u**f + u**i + 1/2*u.
u*(u + 1)**2/2
Let h(i) be the third derivative of -i**6/40 + 9*i**5/20 - i**4 - i**2 + 12. Find z such that h(z) = 0.
0, 1, 8
Let w(l) = -l**3 - 125*l**2 - 244*l - 117. Let h(j) = -5*j**3 - 501*j**2 - 976*j - 469. Let i(o) = 3*h(o) - 11*w(o). Factor i(u).
-4*(u + 1)**2*(u + 30)
Let v(m) = 13*m**2 + 507*m + 504. Let i(g) = 19*g**2 + 761*g + 756. Let u(t) = 5*i(t) - 7*v(t). Factor u(o).
4*(o + 1)*(o + 63)
Factor 512*b**3 - 130*b**5 - 64*b**4 + 1 - 1 + 132*b**5 + 0.
2*b**3*(b - 16)**2
Suppose 8 + 9 = 3*l + 4*j, -4*l = -4*j - 4. Let i(c) be the first derivative of -8*c**3 - l*c - 12*c**4 + 21/2*c**2 + 7. Factor i(y).
-3*(y + 1)*(4*y - 1)**2
Let n be (176/24)/((-2)/(-3)). Suppose 8*a - 13 = n. Suppose -a + 9/2*g**2 - 3/2*g = 0. What is g?
-2/3, 1
Solve -729/2 + 147/2*f**5 - 2673/2*f - 405*f**2 - 1197/2*f**4 + 1431*f**3 = 0.
-3/7, 3
Determine v so that 1/4*v**4 - 3 - 3/2*v**3 + 9/4*v**2 + v = 0.
-1, 2, 3
Factor 10/7*j**3 - 2/7*j**2 - 8/7 - 16/7*j - 2/7*j**5 + 2/7*j**4.
-2*(j - 2)**2*(j + 1)**3/7
Let z(f) be the third derivative of f**7/105 - f**6/60 - f**5/2 - 23*f**4/12 - 10*f**3/3 - f**2 + 240. Solve z(j) = 0 for j.
-2, -1, 5
Let x(j) be the third derivative of j**7/13860 + j**6/1320 + j**5/330 - 7*j**4/24 + 12*j**2. Let p(t) be the second derivative of x(t). Factor p(z).
2*(z + 1)*(z + 2)/11
Let k(v) = -3*v**2 + 143*v + 2743. Let i(j) = 4*j**2 - 142*j - 2744. Let p(h) = 5*i(h) + 6*k(h). What is d in p(d) = 0?
-37
Let g(v) = v**2 + v. Let o(f) = -2*f**2 - 8*f + 6. Suppose -d - 4*d - 2 = -4*r, 3*r - 2*d = 5. Let u(n) = r*g(n) + o(n). Factor u(q).
(q - 3)*(q - 2)
Let q(p) be the third derivative of 7*p**6/150 + 13*p**5/25 - 11*p**4/15 - 16*p**3/5 - 84*p**2. Determine a so that q(a) = 0.
-6, -4/7, 1
Let l be (3/(-3))/(3 + (-10)/3). Find r, given that 2*r**l + r**3 + r - 3*r**3 - r**3 = 0.
-1, 0, 1
Let v(z) = -z**2 - 2. Let o(c) = -6*c**2 + 9*c - 24. Let i(x) = -3*o(x) + 21*v(x). Let i(l) = 0. What is l?
-10, 1
Let m(d) be the first derivative of -d - 1/12*d**3 + 0*d**2 + 1/24*d**4 + 1/40*d**5 - 1/60*d**6 + 4. Let i(v) be the first derivative of m(v). Factor i(h).
-h*(h - 1)**2*(h + 1)/2
Let x(a) = 17*a**2 + 1. Let u be x(-1). Suppose 5*k**4 + 17*k**2 + 23*k**2 - 7*k**3 - u*k**3 - 20*k = 0. What is k?
0, 1, 2
Let m(w) be the second derivative of -3/2*w**5 + 0*w**2 + 27*w + 15/4*w**4 + 1/6*w**6 + 0 - 10/3*w**3. Factor m(p).
5*p*(p - 4)*(p - 1)**2
Suppose -2*m + 2*m = -m. Let o(x) be the third derivative of 3*x**2 - 1/60*x**4 + 0*x**5 + 1/300*x**6 + 0 + 0*x**3 + m*x. Factor o(g).
2*g*(g - 1)*(g + 1)/5
Let u(l) = -13*l**2 + 138*l - 15. Let j(r) = 7*r**2 - 70*r + 9. Let d(n) = 5*j(n) + 3*u(n). Factor d(s).
-4*s*(s - 16)
Let f = -57953/40 - -7246/5. Factor 33/8*q**4 - 21/4*q**3 - f + 9/4*q**2 - 9/8*q**5 + 3/8*q.
-3*(q - 1)**4*(3*q + 1)/8
Let o(v) be the second derivative of -v**4/6 - v**3/6 - v**2/2 + 2*v. Let t(j) = j**2 + j + 1. Let x(b) = -5*o(b) - 5*t(b). Let x(z) = 0. Calculate z.
0
Let v be (-38)/(-60)*27/18. Let d = -9/20 + v. Determine a so that 2*a**4 + 1/2*a**5 - 4 + d*a**3 - 10*a - 7*a**2 = 0.
-2, -1, 2
Solve 4*u**3 + 1/2*u**4 - 4*u + 3*u**2 - 7/2 = 0 for u.
-7, -1, 1
Let q(a) be the third derivative of a**7/42 + 2*a**6/3 + 77*a**5/12 + 245*a**4/12 - a**2 - 7*a. Factor q(d).
5*d*(d + 2)*(d + 7)**2
Let q(g) be the first derivative of 2*g**5/75 + g**4/3 + 8*g**3/5 + 18*g**2/5 + 18*g/5 + 7. Find y such that q(y) = 0.
-3, -1
Let h = 62 + 372. Let c = -1727/4 + h. Let 15/4*f**2 - c*f**4 - 3/4*f - 3/2 + 3/4*f**3 = 0. What is f?
-1, -2/3, 1
Let i(w) be the second derivative of w**7/1890 - w**6/18 + 5*w**5/2 + 5*w**4/6 - 2*w. Let h(m) be the third derivative of i(m). Factor h(k).
4*(k - 15)**2/3
Let s(q) = 22*q**2 - 42*q + 64. Let l(d) = 14*d**2 - 28*d + 43. Let t(b) = 8*l(b) - 5*s(b). Solve t(f) = 0 for f.
3, 4
Find a, given that -39*a**2 - 12*a**4 - 36*a**3 - 120 - 19*a**4 + 198*a + 45*a**4 - 17*a**4 = 0.
-10, -4, 1
Let q(h) = -h**3 - 4*h**2 + 14*h + 13. Let p be q(-6). Let r be (-4)/(-18) + (-10)/(-36). Factor p - 1/2*z**4 + 3/2*z**2 - 5/2*z + r*z**3.
-(z - 1)**3*(z + 2)/2
Suppose 5*u - 2*u - 3*u**3 + 6 - 4175*u**4 + 4178*u**4 - 9*u**2 = 0. Calculate u.
-1, 1, 2
Let l be 7*(-2)/7*-5. Let -8*k + 2 + 2 - 2*k**4 - 12*k**2 + l*k**3 + 12 = 0. What is k?
-1, 2
Let p(i) be the first derivative of i**4/2 - 68*i**3 + 2601*i**2 - 162. Determine r, given that p(r) = 0.
0, 51
Let f = 588/785 - -8/157. Let l(i) = i**2 + i. Let s be l(0). Factor 0*n - 2/5*n**5 + s*n**4 + 6/5*n**3 + f*n**2 + 0.
-2*n**2*(n - 2)*(n + 1)**2/5
Let w(f) be the third derivative of f**5/600 + 37*f**4/240 - 19*f**3/30 - 93*f**2. Factor w(j).
(j - 1)*(j + 38)/10
Let u(n) be the first derivative of -70*n**6/3 - 27*n**5 + 15*n**4/4 + 10*n**3/3 + 580. Determine i, given that u(i) = 0.
-1, -1/4, 0, 2/7
Let w(h) be the third derivative of 1/4*h**4 + 0 + 0*h**3 - 28*h**2 + 1/20*h**5 + 0*h. Suppose w(i) = 0. Calculate i.
-2, 0
Suppose -4*i + 4*b = -28, 3*b = -0*i + 2*i - 16. Factor 0*c + c**2 + i*c + 0*c + 25 + 5*c.
(c + 5)**2
Let -8/5*y**4 + 0*y - 1/5*y**5 + 0*y**2 - 7/5*y**3 + 0 = 0. Calculate y.
-7, -1, 0
Solve -13*v**2 - 2*v**4 + 213*v + 3*v**3 - 228*v + 3*v**4 = 0.
-5, -1, 0, 3
Determine o, given that -2/7*o**3 - 9/7*o**2 - 4/7 - 12/7*o = 0.
-2, -1/2
Let u = 20182/9 + -2242. Factor -16/9*y**2 - u - 2/3*y**3 - 14/9*y.
-2*(y + 1)**2*(3*y + 2)/9
Let s(z) be the third derivative of 0*z**4 + 2/15*z**5 + 0*z**7 + 0*z**3 - z**2 + 0 - 1/10*z**6 + 0*z + 1/84*z**8. Factor s(a).
4*a**2*(a - 1)**2*(a + 2)
Let v(i) = 5*i**2 + 25*i - 30. Let x(l) = 4*l**2 + 23*l - 30. Let b(m) = 5*v(m) - 6*x(m). Factor b(h).
(h - 10)*(h - 3)
Let y(v) be the third derivative of -v**8/168 + 2*v**7/315 + v**6/60 - v**5/45 - v**2 - 12*v. Suppose y(x) = 0. What is x?
-1, 0, 2/3, 1
Suppose -3*l - 33 = -2*m, 5*l - 21 = -m + 15. Let x = m - 17. Determine o, given that -x*o**2 + 2*o**2 + 2 + 8*o - 7*o - o**3 = 0.
-2, -1, 1
Let o(p) be the third derivative of p**5/5 + 7*p**4/8 - p**3 - 5*p**2 + 1. Let o(u) = 0. Calculate u.
-2, 1/4
Factor 15/4 + 1/4*t**2 + 2*t.
(t + 3)*(t + 5)/4
Let v(t) 