 y - 2. Let m be w(o). Factor 3*z**3 + 2*z**2 + 2*z**m + 0*z**2 + z**3.
2*z**2*(z + 1)**2
Suppose 3*y - 3 + 1 = -l, 0 = 2*l - y - 4. Suppose 0 = -4*g + 5*g - l. Factor g*o**2 + o**2 - 6*o**2.
-3*o**2
Let l be (-4)/14 - (-1370)/(-1428). Let c = 3/34 - l. Suppose c - 2*h + 2/3*h**2 = 0. What is h?
1, 2
Let i = 75 + -69. Let a(z) be the second derivative of -1/60*z**5 + 4*z + 0*z**2 + 0*z**3 + 0*z**i + 0*z**4 + 1/126*z**7 + 0. Factor a(g).
g**3*(g - 1)*(g + 1)/3
Let t(i) be the third derivative of i**6/180 - i**4/12 - i**3/3 - 2*i**2. Let c(j) be the first derivative of t(j). Factor c(o).
2*(o - 1)*(o + 1)
Let s(a) be the second derivative of -1/70*a**6 + 0 + 0*a**4 + 0*a**3 + 0*a**2 - 3/140*a**5 - 2*a. Factor s(i).
-3*i**3*(i + 1)/7
Let w(a) = a**3 - 4*a**2 - 9*a + 22. Let d be w(5). Let 0 - 1/4*k**3 + 0*k + 0*k**d = 0. Calculate k.
0
Let b(m) be the second derivative of m**6/45 - m**5/15 + m**4/18 + 3*m. Determine v, given that b(v) = 0.
0, 1
Let 50*c**3 - 5/2*c**4 + 1250*c - 375*c**2 - 3125/2 = 0. What is c?
5
Let s(r) be the second derivative of 2*r**5/25 - r**4/10 - r**3/15 + 7*r. Let s(j) = 0. Calculate j.
-1/4, 0, 1
Let l(j) be the third derivative of -j**7/42 + j**6/12 + 5*j**5/12 - 5*j**4/4 - 29*j**2. Let l(s) = 0. What is s?
-2, 0, 1, 3
Let m(h) be the first derivative of h**6/180 + h**5/20 + h**4/6 - h**3 + 6. Let f(w) be the third derivative of m(w). Let f(v) = 0. Calculate v.
-2, -1
Let j = -261 - -264. Suppose -16/15 - 4*a**2 + 10/3*a**j - 24/5*a = 0. Calculate a.
-2/5, 2
Let k(b) = -b + 3. Let o = 7 - 7. Let x be k(o). Factor 14*p**2 + 4*p + x + 0*p - 3.
2*p*(7*p + 2)
Factor 9*r + 0*r - 9*r + 5*r**2.
5*r**2
Let b be 0 + (-1)/(-2)*(-12)/(-9). Factor 0*i**2 + b*i**5 + 2/3*i**3 + 4/3*i**4 + 0 + 0*i.
2*i**3*(i + 1)**2/3
Suppose 4*r = 2*x + 22, 4 = 3*x - 5. Let b = r - 4. Determine g, given that 4*g**2 + 10*g**3 - 4*g**b - 4*g**4 + 6*g**4 = 0.
-2, -1, 0
Let b be (-1 - (-44)/16) + 2/8. Suppose h**3 + 7/3*h**b + 2/3*h + 0 - 5/3*h**5 - 7/3*h**4 = 0. What is h?
-1, -2/5, 0, 1
Suppose 0 + 4 = m + s, -4*s = 3*m - 15. Let v be m + (1 + -5)/(-4). Factor 4/3*c - 2/3*c**v - 2/3.
-2*(c - 1)**2/3
Let w(a) be the second derivative of -a**6/120 - a**5/30 + a**4/24 + a**3/3 - 3*a**2 + a. Let k(v) be the first derivative of w(v). Suppose k(j) = 0. What is j?
-2, -1, 1
Let c(y) be the second derivative of -y**4/12 + y**3/6 + y**2 - 4*y + 7. Solve c(n) = 0.
-1, 2
Let f(x) be the third derivative of x**8/168 + x**7/35 - x**6/15 - 28*x**2. Find p such that f(p) = 0.
-4, 0, 1
Solve 2 + 10*i**2 + 18*i**3 + 0 - 14*i**4 - 18*i + 2 = 0.
-1, 2/7, 1
Let p = 18 + -14. Factor 2 - 9*h**3 + 1 + 9*h + 3*h**p + 3*h**2 - 9.
3*(h - 2)*(h - 1)**2*(h + 1)
Let a(d) = -11*d**2 - 11*d + 4. Let v(x) = 155*x**2 + 155*x - 55. Let i(o) = -85*a(o) - 6*v(o). Factor i(b).
5*(b - 1)*(b + 2)
Let f = 7/12 - 1/3. Determine b, given that -3/4*b**3 + 1/4*b**4 + 0 - f*b + 3/4*b**2 = 0.
0, 1
Suppose 20/3*o**3 + 64/3*o - 16/3 - 68/3*o**2 = 0. What is o?
2/5, 1, 2
Let a = 1051/86490 - 1/961. Let y(c) be the second derivative of -a*c**6 + 0*c**4 + 0*c**3 + 0*c**2 + 0 + c - 1/60*c**5. Factor y(d).
-d**3*(d + 1)/3
Suppose -3*w - 2*h - 2*h = 33, 2*w - 3*h = -22. Let y be 6/(-12) + w/(-14). Suppose -y*x**4 - 12/7*x**2 - 2/7 - 8/7*x - 8/7*x**3 = 0. What is x?
-1
Let z be (-6)/(-3) + -3 + 1 + 2. Suppose -w - 1 - 1/4*w**z = 0. What is w?
-2
Let a = -10 - -15. Let q(k) = 6*k**2 - 18*k + 30. Let t(z) = 11*z**2 - 36*z + 59. Let b(c) = a*q(c) - 3*t(c). Determine w so that b(w) = 0.
3
Let l = 282 - 1973/7. Find r such that -1/7*r**2 - 1/7*r**3 + 1/7*r + l = 0.
-1, 1
Let j(m) = m - 5. Let d(q) = q**3 - q**2 + 2*q - 1. Let y be d(2). Let p be j(y). Find i, given that -p*i - 2*i**4 + i**4 + 4*i**4 - 3*i**2 + 2*i**3 = 0.
-1, -2/3, 0, 1
Let l(m) = -5*m**5 - 3*m**4 + 2*m**3 + 7*m**2 + 3*m - 4. Let t(r) = r**5 - r**2 - r + 1. Let d(p) = -l(p) - 3*t(p). Factor d(i).
(i - 1)*(i + 1)**3*(2*i - 1)
Let y(i) = 3*i**2 - 10*i + 2. Let s(v) = -5*v**2 + 20*v - 5. Let a(d) = -2*s(d) - 5*y(d). Let a(t) = 0. Calculate t.
0, 2
Let y(w) be the third derivative of -w**8/3360 + w**6/360 - w**4/48 + w**3/2 - 5*w**2. Let c(p) be the first derivative of y(p). Factor c(o).
-(o - 1)**2*(o + 1)**2/2
Let f(n) be the second derivative of n**4/16 + n**3/8 + 7*n. Solve f(w) = 0 for w.
-1, 0
Let c(a) = a**2 - 2*a + 1. Let s be c(1). Let h(l) be the second derivative of s*l**2 - 1/9*l**3 + 1/18*l**4 - 2*l + 0. Factor h(f).
2*f*(f - 1)/3
Let f(l) be the third derivative of -l**7/105 + l**6/30 - l**5/30 - 3*l**2. Find n such that f(n) = 0.
0, 1
Suppose -o = -10*n + 5*n + 11, -11 = -3*n + 5*o. Factor 0*i - 2/7*i**4 + 0 + 2/7*i**n + 0*i**3.
-2*i**2*(i - 1)*(i + 1)/7
Let r(c) = -13*c**2 - 4*c - 9. Let y(h) = -6*h**2 - 2*h - 4. Suppose d - 2*u + 0 - 2 = 0, 2*d - 3*u = 5. Let n(s) = d*r(s) - 9*y(s). Factor n(f).
2*f*(f + 1)
Factor 10*d**2 + 0*d**2 - 2*d**2 - 6*d**2 - 2*d**3.
-2*d**2*(d - 1)
Suppose 3*n - 4 = -n. Let b = 5/6 + 2/3. Suppose 3/2*o - n - b*o**3 + o**2 = 0. Calculate o.
-1, 2/3, 1
Factor -2*m**2 + 0*m**3 - 4*m**3 + 2*m**3.
-2*m**2*(m + 1)
Let p be 2/(-12) + (-7)/((-252)/6). Let i(a) be the third derivative of -1/12*a**3 + 1/420*a**7 - a**2 + p + 0*a + 0*a**5 + 1/24*a**4 - 1/120*a**6. Factor i(o).
(o - 1)**3*(o + 1)/2
Suppose 3*d - 6*d = 0. Factor d + 2/7*q**2 + 4/7*q.
2*q*(q + 2)/7
Suppose -a = 5*c + 22, 5*c - c + 4*a = -24. Let w(n) = 2*n**3 - 2*n**2 - 2*n - 2. Let r(z) = 1. Let f(s) = c*r(s) - w(s). Let f(j) = 0. Calculate j.
-1, 1
Factor -4*t**2 - t - 5*t + 7*t**2.
3*t*(t - 2)
Suppose 2*y + 4*i = 8, 0 = -y - 7*i + 4*i + 5. Factor d**y + 5*d**2 + 4*d - d - 3*d**2.
3*d*(d + 1)
Let a(x) be the first derivative of -x**4/18 + x**2/9 - 7. Find k such that a(k) = 0.
-1, 0, 1
Let o(f) be the second derivative of 1/15*f**6 + 2/3*f**3 + 0*f**2 - 1/5*f**5 - 1/6*f**4 + 0 + 4*f. Factor o(v).
2*v*(v - 2)*(v - 1)*(v + 1)
Let h(p) = p**3 - 16*p**2 - 17*p + 9. Let t(n) = n**2 + 3*n**2 + 0*n - 2 + 4*n. Let c = -2 + 4. Let i(a) = c*h(a) + 9*t(a). Factor i(b).
2*b*(b + 1)**2
Let k(d) = -d**2 + 7*d + 8. Let i be k(8). Suppose -6*f + f = i. Find m such that 2/3*m - 2/3*m**3 + f + 0*m**2 = 0.
-1, 0, 1
Factor -3/2*c - 1/2*c**2 - 1.
-(c + 1)*(c + 2)/2
Factor -18*p**3 + 13*p**4 - p**4 - 10*p**5 + 18*p**5 - 10*p**5.
-2*p**3*(p - 3)**2
Let u(t) = -2*t - 5. Let y be u(-4). Determine f so that -3*f**2 + 12*f + 0*f**2 - 15*f + 3*f**4 + f**y + 2*f**3 = 0.
-1, 0, 1
Let o(n) = -n**3 + n**2 + n - 1. Let j(y) = 3*y**3 - 2*y**2 - 3*y + 2. Let v(r) = j(r) + 2*o(r). Find p such that v(p) = 0.
-1, 0, 1
What is a in -16*a**5 - 22*a**5 + 39*a**5 - 6*a**3 + 2*a**4 + 13*a - 6 - 4*a**2 = 0?
-3, -2, 1
Let n(d) be the second derivative of 0 + 2*d + 0*d**3 + 1/2*d**2 - 1/60*d**5 + 1/24*d**4. Let v(u) be the first derivative of n(u). Factor v(x).
-x*(x - 1)
Let u be -5*1 - (1 + -8 - -2). Factor -2/7*p**3 + u*p + 0 + 2/7*p**2.
-2*p**2*(p - 1)/7
Determine b so that -4/5*b + 1/5*b**2 + 3/5 = 0.
1, 3
Let g(v) = 3*v**3 - 9*v**2 + 16*v + 4. Let p(z) = -2*z**3 + 6*z**2 - 11*z - 3. Let m(c) = -5*g(c) - 7*p(c). Find l such that m(l) = 0.
1
Let g(s) = s - 9. Let v be g(11). Suppose j = -2*j. Suppose -2/3*h**3 + v*h - 4/3 + j*h**2 = 0. What is h?
-2, 1
Let r be 1/3 - 73/(-15). Let k = r - 226/55. Factor k*i**2 + 2/11*i**4 + 2/11 - 8/11*i**3 - 8/11*i.
2*(i - 1)**4/11
Let q(c) be the first derivative of c**3/30 + 3*c**2/20 - 2*c/5 - 13. Factor q(u).
(u - 1)*(u + 4)/10
Let d(t) = t. Suppose -4*h - 5 = -13. Let k be d(h). Factor 4*w**k + 0*w**5 + 2 - w**5 - 6*w**4 + 6*w - w**5 - 4*w**3.
-2*(w - 1)*(w + 1)**4
Factor -4*r**2 - 5 + 40 + 7*r**2 + 21*r - 5.
3*(r + 2)*(r + 5)
Find t such that -15/4*t - 3/2 - 3/4*t**3 - 3*t**2 = 0.
-2, -1
Let h(a) = 3*a**3 - 8*a**2 + 4*a - 7. Let t be h(6). Let u = t + -1121/3. Let 0 - 4/3*i + u*i**2 = 0. What is i?
0, 2/5
Suppose x = 5*x - 24. Let c(u) = -u**2 + 7*u - 3. Let m be c(x). Factor -2*n**4 + n**5 + 2*n**2 - 2*n**3 + n**m + 0*n**5.
n**2*(n - 2)*(n - 1)*(n + 1)
Factor -6 - 3/5*r**2 + 21/5*r.
-3*(r - 5)*(r - 2)/5
Let r(s) be the second derivative of -3*s**5/140 + s**4/28 + 5*s**3/14 + 9*s**2/14 - 15*s. Let r(g) = 0. Calculate g.
-1, 3
Let l(s) be the third derivative of -s**8/3360 + 5*s**4/24 + 2*s**2. Let j(b) be the second derivative of l(b). Let j(q) =