 + 34*m - 2. Determine p so that r(p) = 0.
-1, 0, 1
Determine o, given that -38 - 2*o + 72 + o**3 - o**2 - 34 = 0.
-1, 0, 2
Factor 7/6*k**2 - 1/3 + 5/6*k.
(k + 1)*(7*k - 2)/6
Let c(x) = x**2 - 4. Let m be c(3). Let f(s) be the second derivative of 1/2*s**2 - 1/6*s**3 + 0 - 2*s + 1/20*s**m - 1/12*s**4. Suppose f(u) = 0. What is u?
-1, 1
Let n(s) = 2*s**2 - 4*s. Let z(j) = -j**2 + 4*j. Let i(w) = 3*n(w) + 4*z(w). Determine f so that i(f) = 0.
-2, 0
Suppose o + 0 = 1. Let s(c) = -c**3 + c - 1. Let d(v) = 8*v**3 - 16*v**2 + 8*v + 4. Let x(a) = o*d(a) + 4*s(a). Solve x(l) = 0 for l.
0, 1, 3
Suppose 2*j = -0*j + 8. Let g be j/6 + (-10)/15. Factor 2/5*x**2 + g + 2/5*x.
2*x*(x + 1)/5
Solve 8/3*t**2 - 4/3*t**4 + 5*t**3 - 5*t - 4/3 = 0.
-1, -1/4, 1, 4
Let r = 3/47 - -223/188. Determine h, given that r*h**3 + 1/2*h**4 - 2*h + 1 - 3/4*h**2 = 0.
-2, 1/2, 1
Factor 3/8*f + 3/4 - 3/8*f**2.
-3*(f - 2)*(f + 1)/8
Let o(u) = u**2 - 11*u + 20. Let z be o(9). Factor -6*n**3 + 3/2*n + 0 + 9/2*n**z.
-3*n*(n - 1)*(4*n + 1)/2
Let t(w) be the first derivative of -w**6/3 - 4*w**5/5 + w**4 + 16*w**3/3 + 7*w**2 + 4*w - 5. Factor t(a).
-2*(a - 2)*(a + 1)**4
Let y(p) be the second derivative of -8*p**7/21 + 6*p**6/5 - 6*p**5/5 + p**4/3 + 21*p. Suppose y(i) = 0. What is i?
0, 1/4, 1
Let k(m) be the first derivative of m**6/33 - 2*m**5/55 - 5*m**4/22 - 2*m**3/11 + 12. Solve k(g) = 0 for g.
-1, 0, 3
Determine m so that 4*m**3 - 8*m**2 + 15 + 4*m - 15 = 0.
0, 1
Let f = -8 + 41/5. Factor 2/5*q**4 - f*q - 2/5*q**2 + 1/5*q**3 + 0.
q*(q - 1)*(q + 1)*(2*q + 1)/5
Let d(l) be the first derivative of -2*l**5/35 - 3*l**4/14 + 8*l**3/21 + 54. Determine n, given that d(n) = 0.
-4, 0, 1
Let q(s) be the third derivative of -s**7/1050 + 7*s**2 + s. Determine h so that q(h) = 0.
0
Suppose 0 = 3*n + 9, 0*b + 4*b - 13 = -n. Solve s + 0*s - s - b*s**2 - 4*s = 0.
-1, 0
Let 8/7 - 2/7*j**2 + 0*j = 0. Calculate j.
-2, 2
Let b be 4/(-10) + (-282)/(-30). Let m = -9 + b. Factor m*s + 0 + 0*s**2 - 1/2*s**3.
-s**3/2
Let o(n) = n**3 - 8*n**2 - 6*n - 11. Let q be o(9). Let y = q + -16. Factor y + 0*j + 2/9*j**2.
2*j**2/9
Suppose v - 7 = -1. Let j be 1/v - (-119)/294. Find n such that 0 + j*n - 2*n**2 = 0.
0, 2/7
Let k be (-2 - 44/(-6)) + 3/(-9). Let c(g) be the first derivative of 1/5*g**k - 2 + g**2 - 1/2*g**4 + 0*g**3 - g. Factor c(s).
(s - 1)**3*(s + 1)
Factor 2/11*c**3 + 12/11 + 12/11*c**2 + 2*c.
2*(c + 1)*(c + 2)*(c + 3)/11
Let g(f) be the third derivative of -f**5/180 + f**3/18 + 10*f**2. Let g(b) = 0. What is b?
-1, 1
Suppose -4*w - 19 = -7. Let d be 1/3 - (w - -3). Factor 2/3*a**3 + 0*a - 1/3*a**4 - d*a**2 + 0.
-a**2*(a - 1)**2/3
Let l(x) = -x**2 - x + 1. Let y(v) = 26*v**2 + 74*v + 18. Let d(t) = -6*l(t) - y(t). Find r, given that d(r) = 0.
-3, -2/5
Let i(l) be the third derivative of 0*l + 0 + 0*l**4 + 3*l**2 + 0*l**3 + 0*l**6 + 0*l**5 + 1/315*l**7. Determine n, given that i(n) = 0.
0
Determine i so that -163*i + 24*i**2 - 210 + 318 - 3*i**3 + 19*i + 15*i**2 = 0.
1, 6
Let j be 30/165 + 2/(-11). Find l such that -2/3*l**2 + j*l + 2/3 = 0.
-1, 1
Let d(p) = -5*p - 105. Let q be d(-21). What is o in 0*o**2 + 0*o - 4/7*o**5 + q + 0*o**3 + 8/7*o**4 = 0?
0, 2
Let p(x) = -15*x**2 + x - 3. Let o(m) = -m**2 - m - 1. Let r(w) = 3*o(w) - p(w). Factor r(b).
4*b*(3*b - 1)
Factor 3/2*f - 1/2*f**2 - 1.
-(f - 2)*(f - 1)/2
Suppose -8 = 2*y - 3*y + 4*m, -2*y + m + 23 = 0. Let h = 12 - y. Let 2/5*z**2 - 2/5 + h*z = 0. Calculate z.
-1, 1
Let d = -9557/9 - -1063. Let b(v) be the first derivative of -13/9*v**4 + 2/3*v**5 + 28/27*v**6 + 2 - 2/9*v**2 + 0*v - d*v**3. Solve b(c) = 0.
-1, -2/7, -1/4, 0, 1
Suppose -6*v = -12 - 0. Let o(x) be the first derivative of 2*x - 7/2*x**2 - 3/4*x**4 + v + 8/3*x**3. Factor o(d).
-(d - 1)**2*(3*d - 2)
Suppose 0 = -13*p + 14*p - 3. Factor 4*g**3 + p*g**4 - 3*g**5 - 3*g + 4*g**3 - 2*g**3 + 3 - 6*g**2.
-3*(g - 1)**3*(g + 1)**2
Find w such that 4*w**2 + 473*w - 2*w**2 + 162 - 437*w = 0.
-9
Let p(m) = m**3 + 6*m**2 + 3*m - 7. Let k be p(-5). Factor -2/9*w**k + 2/9*w + 0 + 0*w**2.
-2*w*(w - 1)*(w + 1)/9
Let m(s) be the second derivative of -s**6/15 + s**5/20 + s**4/4 - s**3/6 - s**2/2 + 13*s. Let m(k) = 0. What is k?
-1, -1/2, 1
Let q(j) = -9*j**4 - 6*j**2 - 6*j + 9. Let h(b) = -8*b**4 + b**3 - 5*b**2 - 6*b + 8. Let w(s) = -6*h(s) + 5*q(s). Factor w(k).
3*(k - 1)**3*(k + 1)
Let n(m) be the second derivative of -1/36*m**3 + 0*m**2 + 1/72*m**4 - m + 0. Factor n(f).
f*(f - 1)/6
Let x(h) be the second derivative of 2*h - 1/15*h**6 + 2/3*h**3 + 0*h**2 + 1/6*h**4 + 0 - 1/5*h**5. Solve x(n) = 0.
-2, -1, 0, 1
Let k(p) be the second derivative of 1/60*p**4 + 1/10*p**2 - 1/15*p**3 + p + 0. Determine h so that k(h) = 0.
1
Let p(g) be the third derivative of g**5/60 - g**3/6 + 21*g**2. Factor p(j).
(j - 1)*(j + 1)
Let z(m) be the first derivative of m**6/75 + m**5/50 + 3*m + 3. Let r(t) be the first derivative of z(t). Factor r(h).
2*h**3*(h + 1)/5
Let g(a) = -a**3 - 6*a**2 + a + 8. Suppose 0 = 2*j + 6*q - 3*q + 24, 0 = -j - 5*q - 26. Let b be g(j). Suppose -4 + 2 + 1 - 2*c**3 + b*c + c**4 = 0. What is c?
-1, 1
Suppose 3*l = 4*h + 12, 5*h + 2*l + 0*l - 8 = 0. Suppose -8/5*y**3 - 2/5*y**4 + h - 4/5*y - 2*y**2 = 0. Calculate y.
-2, -1, 0
Let d(h) be the third derivative of h**7/210 + h**6/30 + h**5/6 - 7*h**3/6 + 2*h**2. Let p(n) = -3*n**3 - 9*n**2 + 6. Let z(a) = -3*d(a) - 4*p(a). Factor z(k).
-3*(k - 1)**2*(k + 1)**2
Let f be (-184)/(-56) - 2/7. Suppose 0 = 3*y + 2*y - 5*j - 20, 12 = f*y - 4*j. Suppose 0 + h - h**3 + 3/2*h**2 - 3/2*h**y = 0. What is h?
-1, -2/3, 0, 1
Let f(g) be the second derivative of -g**6/330 + g**5/220 + g**4/132 - g**3/66 + 43*g. Determine b, given that f(b) = 0.
-1, 0, 1
Suppose l - 3*p + 4 = -2, 9 = 3*p. Suppose -3*q**l + 4*q**4 - q**2 - 2*q**5 - 7*q**4 + q**5 = 0. What is q?
-1, 0
Let r = -12 - -12. Suppose r = -2*a + a. What is x in a + 1/5*x**2 + 1/5*x = 0?
-1, 0
Let c(l) = 2*l**2 + 4*l - 48. Let z be c(4). Let a be 2/(4/(-3)) - -2. Suppose -1/2 + a*n**2 + z*n = 0. Calculate n.
-1, 1
Let z(f) = f**2 - f + 11. Let n = 2 - 0. Let p(j) = -4. Let l(w) = 2. Let g(m) = 11*l(m) + 6*p(m). Let h(o) = n*z(o) + 11*g(o). Factor h(v).
2*v*(v - 1)
Let t = 90 - 237. Let o be -3 + (t/6)/(-7). Factor 1/2*q**2 + 0 - o*q**3 + 0*q.
-q**2*(q - 1)/2
Let r = 7 - -4. Factor 2*h - r*h**2 - 2*h**3 + 14*h**2 + 3*h**3.
h*(h + 1)*(h + 2)
Suppose -r = -5*r + 28. Let z(w) = 2*w**3 + w**2 - w. Let u be z(1). Factor 1 + v**u + v**2 - 8*v + r.
2*(v - 2)**2
Factor -1/5*j**5 - 1/5*j + 1/5*j**4 + 2/5*j**3 - 2/5*j**2 + 1/5.
-(j - 1)**3*(j + 1)**2/5
Factor -16*p**2 - 12 + p**3 + 77*p + 2*p**3 - 103*p - 5*p**3.
-2*(p + 1)**2*(p + 6)
Determine c so that -18*c - 9*c**4 - 5*c**5 + 10*c**2 - c**4 + 23*c = 0.
-1, 0, 1
Let 3/2*l**3 + 1/2*l + 1/2*l**4 + 0 + 3/2*l**2 = 0. Calculate l.
-1, 0
Let f(s) be the second derivative of -s**4/90 + s**2/15 - s + 13. Find k such that f(k) = 0.
-1, 1
Let w(f) = f - 14. Let d be w(12). Let r = 11/4 + d. Factor -r*l - 1/4 - 1/4*l**3 - 3/4*l**2.
-(l + 1)**3/4
Factor 8/7 - 12/7*a - 20/7*a**2.
-4*(a + 1)*(5*a - 2)/7
Let q(u) be the first derivative of -1/40*u**5 + 4/3*u**3 - 1/120*u**6 - 1 + 0*u**4 + 0*u + 0*u**2. Let g(y) be the third derivative of q(y). Factor g(k).
-3*k*(k + 1)
Solve -2/3*p + 4/9 + 2/9*p**2 = 0.
1, 2
Let s be ((-117)/104)/(9/(-6)). Factor -1/4*d**2 - 3/4*d + s*d**3 + 1/4.
(d - 1)*(d + 1)*(3*d - 1)/4
What is s in -11/6*s + 3/2*s**2 + 1/3 = 0?
2/9, 1
Factor -2 - 2*a - 1/2*a**2.
-(a + 2)**2/2
Let l(i) = 5*i**2 + i**3 + 0 + 10*i + 22 - 10 - 8. Suppose -10 = 5*k + 15. Let f(d) = -2*d**3 - 10*d**2 - 21*d - 8. Let y(s) = k*l(s) - 2*f(s). Factor y(x).
-(x + 1)*(x + 2)**2
Let l(n) be the first derivative of -4 - n**3 + 3/2*n**2 + 6*n. Factor l(t).
-3*(t - 2)*(t + 1)
Factor -2*t + 5*t**2 - 4*t - 3*t**2.
2*t*(t - 3)
Let c(t) be the first derivative of 2*t + 1/30*t**6 + 1/4*t**5 + 7/6*t**3 + 1 + 3/4*t**4 + t**2. Let b(p) be the first derivative of c(p). Factor b(v).
(v + 1)**3*(v + 2)
What is z in 2*z + 7*z**3 - 5*z**4 + 12*z**4 + 11*z**2 + 9*z**3 = 0?
-1, -2/7, 0
Let l(y) be the third derivative of y**5/8 + 35*y**4/12 - 25*y**3/3 - 7*y**2. Solve l(k) = 0.
-10, 2/3
Let 15*s + 5*s**2 + 5*s**3 - 6*s + 15 - 34*s = 0. Calculate s.
-3, 1
Let h(m) be the second derivative of m**6/105 