10 - 5*d. Determine n so that r(n) = 0.
-1, 0
Solve -90*j**2 - 36*j**4 + 6*j**3 - 16 - 70*j**3 + 70*j + 142*j**2 - 6*j = 0.
-2, -1, 2/9, 1
Let a = -10 - -14. Let t be (a/(-10))/((-55)/25). Determine x so that 2/11*x**4 + 0*x - t*x**2 + 0 + 2/11*x**3 - 2/11*x**5 = 0.
-1, 0, 1
Let d = 2227/2 - 1109. Suppose -3/2 + 3/2*k**3 - d*k**2 + 9/2*k = 0. Calculate k.
1
Let o(x) be the first derivative of 4*x**3/3 - x**2/2 - 6. Factor o(f).
f*(4*f - 1)
Suppose -6 = -n - 3. Determine h so that 0*h**2 + 1/4*h**n - 1/4*h + 0 = 0.
-1, 0, 1
Let n be 0 + 27 - (-16)/(-8). Find f, given that 25 + 28*f**2 - n + 8*f = 0.
-2/7, 0
Let f(p) = -p**2 - 6*p + 18. Suppose 3*h - 3*b = -h - 29, 0 = 3*h - 3*b + 21. Let r be f(h). Factor 0*w + 0 + 1/2*w**r + 1/2*w**3.
w**2*(w + 1)/2
Let w be (-70)/12*(-16)/40. Let h(c) be the second derivative of 4/15*c**6 + c**2 - 13/10*c**5 + 5/2*c**4 - w*c**3 - c + 0. Let h(r) = 0. What is r?
1/4, 1
Suppose 5*j = 7*j - 5492. Determine r so that -24*r + 3993*r**4 - 1 + 1 - j*r**3 + 396*r**2 + 568*r**3 = 0.
0, 2/11
Let i(t) be the first derivative of -2*t**2 - 4/3*t + 5/3*t**3 - 1/3*t**4 + 7. Solve i(l) = 0.
-1/4, 2
Let r(y) be the third derivative of -y**7/630 + y**6/360 + y**5/60 - y**4/72 - y**3/9 + 14*y**2. Factor r(f).
-(f - 2)*(f - 1)*(f + 1)**2/3
Determine w so that -16/5*w**2 + 0*w + 4/5*w**3 + 0 = 0.
0, 4
Let u(l) be the third derivative of l**5/45 - 7*l**4/9 + 98*l**3/9 - 5*l**2. Determine j, given that u(j) = 0.
7
Let l = 12 + -6. Let x(o) = -o**2 + o - 1. Let h(z) = z - 1. Let a = -1 + 3. Let p(m) = a*x(m) + l*h(m). Factor p(t).
-2*(t - 2)**2
Suppose 0 + 52/3*w**2 - 43*w**4 + 50/3*w**3 - 45*w**5 + 8/3*w = 0. What is w?
-1, -2/5, -2/9, 0, 2/3
Let l = 13 + -8. Let w(k) be the second derivative of 0*k**3 + 2*k + 1/60*k**4 + 1/150*k**6 + 0*k**2 + 0 - 1/50*k**l. Determine d so that w(d) = 0.
0, 1
Let n(l) be the third derivative of -1/90*l**5 + 6*l**2 + 0 + 0*l + 0*l**3 - 1/360*l**6 + 0*l**4. Factor n(k).
-k**2*(k + 2)/3
Let i(s) = -s**3 - 5*s**2 + 6*s - 4. Let r be i(-6). Let u be (2/r)/((-9)/54). Factor -2/3*g**u + 0 - 2/3*g - 4/3*g**2.
-2*g*(g + 1)**2/3
Let t = 7 - 7. Suppose -15 = 5*a + 5*v, 4*a - 4*v + 0*v - 28 = t. Suppose -a*q + 2*q**3 + 2/3*q**2 - 4/3*q**4 + 2/3 = 0. Calculate q.
-1, 1/2, 1
Let i(o) be the first derivative of -3*o**5/5 + 3*o**4/4 + o**3 - 3*o**2/2 - 8. Let i(u) = 0. What is u?
-1, 0, 1
Let i(v) be the second derivative of -1/189*v**7 - 1/45*v**6 + 4*v - 1/30*v**5 + 0*v**2 + 0*v**3 + 0 - 1/54*v**4. Factor i(p).
-2*p**2*(p + 1)**3/9
Let o(g) be the first derivative of g**5 + 25*g**4/4 + 40*g**3/3 + 10*g**2 + 13. Factor o(d).
5*d*(d + 1)*(d + 2)**2
Let v = -4 - 0. Let u = v + 6. Factor 3*j - j**5 + 1 - 3*j**4 + 2*j**2 - u*j**3 - 2*j**2 + 2*j**2.
-(j - 1)*(j + 1)**4
Let l(n) be the third derivative of 0 + 0*n**3 + 0*n - 1/525*n**7 - n**2 + 0*n**6 + 0*n**5 + 0*n**4. Factor l(j).
-2*j**4/5
Let b = -2 + 4. Suppose -2*i + 4 = 4*a, 0*a - i + 2 = 4*a. Factor 4*h - 2*h**b - 11*h**3 + a*h - 31*h**3.
-2*h*(3*h + 1)*(7*h - 2)
Let a(y) = 14*y**3 + 8*y - 6*y**3 - 2*y - 2*y. Let x(k) = -9*k**3 - 5*k. Let c(q) = 7*a(q) + 6*x(q). Determine j, given that c(j) = 0.
-1, 0, 1
Let t(f) be the third derivative of f**6/30 + f**5/15 + 5*f**2. Factor t(l).
4*l**2*(l + 1)
Let k(g) be the first derivative of g**9/13608 + g**8/3780 - g**6/810 - g**5/540 + 2*g**3/3 + 1. Let b(d) be the third derivative of k(d). Factor b(l).
2*l*(l - 1)*(l + 1)**3/9
Let d(o) be the third derivative of -o**7/6300 - o**6/900 - o**4/6 - 5*o**2. Let p(t) be the second derivative of d(t). Suppose p(l) = 0. What is l?
-2, 0
Let q(a) = 5*a**4 + 6*a**3 - 7*a**2 - 12*a + 10. Let h(p) = -p**4 - p**2 + 1. Let t(j) = 2*h(j) + q(j). Factor t(b).
3*(b - 1)**2*(b + 2)**2
Let q(f) be the first derivative of -1/20*f**5 + 0*f**3 - 3 + 1/4*f**4 + 0*f - 1/40*f**6 - 2*f**2. Let o(k) be the second derivative of q(k). Factor o(a).
-3*a*(a - 1)*(a + 2)
Let c(v) be the first derivative of -v**4/4 + v**3 - 3*v**2/2 + v - 1. Find m, given that c(m) = 0.
1
Let f(t) = -t**3 - 5*t**2 + 14*t. Let s be f(-7). Let -1/3*k + s + 1/3*k**3 + 1/3*k**2 - 1/3*k**4 = 0. What is k?
-1, 0, 1
Let i(b) = 4*b**2 - 2*b. Suppose -8*s + 10 = -3*s. Let w(p) = 17*p**2 - 9*p. Suppose 18 = -4*m - 18. Let n(v) = m*i(v) + s*w(v). Find h such that n(h) = 0.
0
Let j(h) be the first derivative of h**6/360 + h**5/60 - 2*h**3/9 - 3*h**2/2 - 3. Let o(q) be the second derivative of j(q). Solve o(m) = 0.
-2, 1
Let i(t) be the first derivative of -3 + 0*t**2 + 0*t + 0*t**3 + 1/16*t**4. Factor i(n).
n**3/4
Suppose 2*s = 12*s - 30. Let -1/2*z**5 + 0*z + 0 + 1/2*z**2 - 1/2*z**4 + 1/2*z**s = 0. What is z?
-1, 0, 1
Let a(i) be the second derivative of -i**7/42 - i**6/15 + i**4/6 + i**3/6 - 2*i. Let a(h) = 0. Calculate h.
-1, 0, 1
Suppose -5*x + 4*m = -18, 0 = -2*x - 3*x - 2*m + 6. Determine k so that -1/3*k + 1/3*k**3 - 2/3*k**x + 2/3 = 0.
-1, 1, 2
Let x(l) be the third derivative of l**7/630 + l**6/120 + l**5/180 - l**4/24 - l**3/9 - 4*l**2. Solve x(d) = 0.
-2, -1, 1
Let m(s) = s**3 + 5*s**2 + 3*s + 1. Let q be m(-4). Suppose 6 + 9 = q*n. Factor -16 - 28*k**2 - 2*k**n + k**3 + 40*k + 7*k**3.
2*(k - 2)**2*(3*k - 2)
Let w be ((-18)/(-12))/(6/8). Let s be -3 + (-2)/((-6)/9). Factor -2/3*m + s - m**w + 20/3*m**3.
m*(4*m + 1)*(5*m - 2)/3
Let k(a) be the first derivative of -a**6/1800 + a**5/300 - a**3 - 1. Let l(f) be the third derivative of k(f). Factor l(g).
-g*(g - 2)/5
Let a(z) be the third derivative of z**8/560 - 2*z**7/175 + 3*z**6/100 - z**5/25 + z**4/40 + 18*z**2. Solve a(y) = 0.
0, 1
Let n(h) be the second derivative of -h**6/15 - h**5/10 + h**4/6 + h**3/3 + 9*h. Factor n(m).
-2*m*(m - 1)*(m + 1)**2
Let k(o) be the second derivative of o**5/45 + 7*o**4/72 - o**3/9 + 2*o**2 - o. Let p(m) be the first derivative of k(m). Let p(q) = 0. What is q?
-2, 1/4
Let w(j) = -j**3 - 6*j**2 - 4*j + 7. Let x be w(-5). Factor 0 + 0*m**2 - 2 + x*m + 4*m**2.
2*(m + 1)*(2*m - 1)
Let m(o) = o**2 - 1. Let n(d) = d - 4. Let k be n(3). Let c(g) = -4*g**2 - 4*g + 2. Let z(t) = k*c(t) - 2*m(t). Factor z(i).
2*i*(i + 2)
Factor 1/6*v**3 + 0 + 1/3*v**2 - 1/2*v.
v*(v - 1)*(v + 3)/6
Let z(d) = 3*d**4 + 7*d**3 + 3*d**2 - 9*d - 6. Let k(h) = 3*h**4 + 6*h**3 + 3*h**2 - 9*h - 6. Let v(m) = -2*k(m) + 3*z(m). Factor v(a).
3*(a - 1)*(a + 1)**2*(a + 2)
Let x(n) = -4*n - 101. Let y be x(-26). Let -3/5*q**y - 6/5*q + 0 + 9/5*q**2 = 0. Calculate q.
0, 1, 2
Suppose -8*o + 4*o - 10 = 2*p, -5*p + 35 = -5*o. Factor -1/2*h**2 - h**p + 1/2*h**4 + 0 + h.
h*(h - 2)*(h - 1)*(h + 1)/2
Let p(j) be the third derivative of -1/60*j**4 - j**2 - 1/280*j**8 + 0 + 1/25*j**5 + 2/105*j**7 + 0*j**3 + 0*j - 1/25*j**6. What is i in p(i) = 0?
0, 1/3, 1
Let s(h) be the third derivative of h**6/1800 + h**5/150 + h**4/30 - h**3 + 6*h**2. Let a(n) be the first derivative of s(n). Factor a(g).
(g + 2)**2/5
Let k be ((-8)/54)/((-2)/18*3). Solve -k*h - 2/9 - 2/9*h**2 = 0 for h.
-1
Find y, given that -388*y**2 + 144*y**3 + 133*y - 16*y**4 - 34*y + 31 - 95 + 189*y = 0.
1/2, 4
Let s(r) = r**3 - 9*r**2 + 9*r - 5. Let c be s(8). Let p(x) be the second derivative of 0 + 1/2*x**2 + 1/12*x**c + x - 1/24*x**4. Find z such that p(z) = 0.
-1, 2
Let k = -6/17 + 41/68. Let -k*r + 0*r**3 + 1/4*r**5 + 1/2*r**4 - 1/2*r**2 + 0 = 0. Calculate r.
-1, 0, 1
Suppose -4*a = a. Let u(m) be the second derivative of a - 1/18*m**3 + 1/36*m**4 + 0*m**2 + 2*m. Suppose u(i) = 0. Calculate i.
0, 1
Let p(o) be the first derivative of -2*o**3/3 + 8*o + 66. Suppose p(c) = 0. Calculate c.
-2, 2
Suppose -2/11*m**2 + 2/11 + 0*m = 0. Calculate m.
-1, 1
Let q(a) = 13*a**3 - a - 1. Let o be q(-1). Let u = 16 + o. Find y such that 2/5*y**2 + y**4 - 7/5*y**u + 0 + 0*y = 0.
0, 2/5, 1
Let 4*s**4 + 4*s**2 + 4*s - 7*s + 3*s + 8*s**3 = 0. Calculate s.
-1, 0
Let g(l) be the third derivative of -l**7/140 + l**6/40 + l**5/40 - l**4/8 + l**2 + 15. Find r, given that g(r) = 0.
-1, 0, 1, 2
Let r = -592 - -592. Factor r - 2/5*y**2 + 4/5*y.
-2*y*(y - 2)/5
Let n(d) be the third derivative of d**8/896 - d**7/560 - 3*d**6/160 + 7*d**5/80 - 11*d**4/64 + 3*d**3/16 + 10*d**2. What is y in n(y) = 0?
-3, 1
Let c(y) be the second derivative of 1/9*y**4 + 2*y + 0*y**2 + 0*y**3 + 0 - 1/30*y**5. Factor c(z).
-2*z**2*(z - 2)/3
Let v = 2/23 + 40/69. Suppo