 1)**3/7
Let z be -1 + -1*(-3 - 1). Determine p, given that z*p**2 - 5*p**2 - p + 4*p + p**2 = 0.
0, 3
What is m in -5*m - 3*m**3 + 12*m**2 - 5*m**4 + 8*m**3 - 7*m**2 = 0?
-1, 0, 1
Let k(j) be the second derivative of 2*j + 1/24*j**4 + 1/60*j**6 - 1/2*j**2 + 0 + 1/4*j**3 - 3/40*j**5. Find g such that k(g) = 0.
-1, 1, 2
Determine c, given that -73*c**4 - 40*c + 26*c**3 + 68*c**2 - 16 + 7*c**5 + 21*c**4 + 7*c**5 = 0.
-1, -2/7, 1, 2
Find z, given that -2/9*z**2 + 0 - 2/9*z = 0.
-1, 0
Suppose -2/7*o**4 + 0 - 6/7*o**3 - 6/7*o**2 - 2/7*o = 0. Calculate o.
-1, 0
Let l(q) be the first derivative of -2*q**6/9 + 8*q**5/15 - 8*q**3/9 + 2*q**2/3 - 18. Determine j so that l(j) = 0.
-1, 0, 1
Suppose -10 = -13*z + 29. Determine l, given that 2/7*l**4 - 2/7*l**5 + 0*l + 2/7*l**z - 2/7*l**2 + 0 = 0.
-1, 0, 1
Factor 0 - 4/5*s**3 + 0*s + 1/5*s**4 + 4/5*s**2.
s**2*(s - 2)**2/5
Suppose 85 = 3*p - 2*f, 0 = 5*p - 8*p + 3*f + 81. Let i = p + -92/3. Determine n so that -1/3*n**3 + 0*n + 0 - i*n**4 + 0*n**2 = 0.
-1, 0
Suppose -4*c - 3*y = -21, -4*y - y = c - 1. Let q be (c/(-10))/(2/(-10)). Factor 3*k**3 - 5*k**2 + 0*k**q + k**4 + 8*k**2 + k.
k*(k + 1)**3
Let s(n) be the first derivative of -2 + 0*n**2 + 9/20*n**4 + 0*n + 3/25*n**5 + 2/5*n**3. Find q such that s(q) = 0.
-2, -1, 0
Let o(c) be the first derivative of 0*c**2 + 1 - 2/3*c**3 + 2/5*c**5 + 0*c**4 + 0*c. Solve o(w) = 0.
-1, 0, 1
Let f be (-1)/(18/(-12)) + (-2)/3. Factor 2/3*w**2 - 1/3*w + f - 1/3*w**3.
-w*(w - 1)**2/3
Let s(m) be the first derivative of 1 - 4/11*m + 10/33*m**3 - 3/11*m**2. Let s(w) = 0. What is w?
-2/5, 1
Let m(k) be the first derivative of 2*k**3/3 - 14*k**2 + 98*k + 10. Solve m(j) = 0.
7
Let m(s) = 2*s**3 + 8*s**2 + 14*s. Let q(i) = -i + 1. Let x = -6 - -5. Let o(u) = x*m(u) - 4*q(u). Factor o(r).
-2*(r + 1)**2*(r + 2)
Suppose -v + 7 = w, -3*v + 8*v = 2*w + 7. Suppose -5*q = -w*q. Let q + 1/4*a - 1/4*a**2 = 0. Calculate a.
0, 1
Let q(t) be the first derivative of t**4/8 + t**3/18 - 10. Factor q(a).
a**2*(3*a + 1)/6
Let k(s) = s**2 - 14*s + 16. Let l be k(13). Factor -4*t**l + 0 - 8/3*t**4 - 2/3*t**5 - 2/3*t - 8/3*t**2.
-2*t*(t + 1)**4/3
Determine c so that 3/7*c**2 - 3/7*c**4 + 0 - 9/7*c**3 + 6/7*c + 3/7*c**5 = 0.
-1, 0, 1, 2
Let c(g) be the first derivative of -g**6/12 + 2*g**5/5 - 3*g**4/4 + 2*g**3/3 - g**2/4 - 8. Let c(k) = 0. What is k?
0, 1
Let g(r) = -6 + 2*r**3 + 7 - 2*r**3 - r**3. Let a(y) = -y**5 - 3*y**4 + y**3 - y**2 - 4. Let i(q) = -a(q) - 4*g(q). Factor i(w).
w**2*(w + 1)**3
Factor 2 + 25*f**3 - 3 + 3*f - 3*f**2 - 24*f**3.
(f - 1)**3
Let i(z) be the third derivative of -5/108*z**4 + 0*z - 2/27*z**3 + 2*z**2 - 2/135*z**5 - 1/540*z**6 + 0. Suppose i(d) = 0. What is d?
-2, -1
Factor 3*u**3 + u**2 - 4*u**2 + 12*u**3 - 9*u**4 - 3*u.
-3*u*(u - 1)**2*(3*u + 1)
Suppose 0 = 3*h - x + 37, 0 = 2*h - 5*h + 2*x - 41. Let i(n) = n**2 + 11*n + 2. Let w be i(h). Solve 0*r + 6/11*r**w - 2/11*r**3 - 8/11 = 0 for r.
-1, 2
Let d(w) be the third derivative of w**7/2520 - w**6/360 + w**5/120 + w**4/6 - 3*w**2. Let t(u) be the second derivative of d(u). Let t(f) = 0. Calculate f.
1
Let k = 52/3 - 50/3. Find b such that 0*b**2 + 0*b**4 - 2/3*b**5 + 0 + 4/3*b**3 - k*b = 0.
-1, 0, 1
Let g(k) be the third derivative of 1/40*k**6 + 0*k + 1/672*k**8 - 2*k**2 + 1/48*k**4 - 1/105*k**7 + 0 - 1/30*k**5 + 0*k**3. Factor g(s).
s*(s - 1)**4/2
Let s(w) be the second derivative of -1/6*w**3 - 1/4*w**2 + 0 - 4*w - 1/24*w**4. Factor s(q).
-(q + 1)**2/2
Let m(w) be the second derivative of -w**7/1260 - w**6/540 - w**3/6 - w. Let c(q) be the second derivative of m(q). Solve c(r) = 0.
-1, 0
Let i(r) be the first derivative of -r**6/36 + r**4/12 - r**2/12 - 5. Factor i(v).
-v*(v - 1)**2*(v + 1)**2/6
Factor -8/5*u - 16/5*u**2 + 6/5*u**3 + 18/5*u**4 + 0.
2*u*(u - 1)*(3*u + 2)**2/5
Let d be 1 - 18/10 - 174/(-216). Let h(c) be the third derivative of 0*c - 2*c**2 + 0 + d*c**5 + 1/36*c**4 + 1/18*c**3. Find n, given that h(n) = 0.
-1
Let l = 8 + -8. Suppose -y + 3 = 3*b - 7, -3*y + 12 = l. Let 0 + 0*t + 1/3*t**4 + 1/3*t**b - 2/3*t**3 = 0. What is t?
0, 1
Let m be (2/(-7)*1)/((-17)/238). Let y(r) be the third derivative of 5/96*r**m + 0 - 1/12*r**3 - 2*r**2 - 1/60*r**5 + 1/480*r**6 + 0*r. Factor y(s).
(s - 2)*(s - 1)**2/4
Let l(x) be the third derivative of x**7/1995 + x**6/114 + 11*x**5/190 + 10*x**4/57 + 16*x**3/57 - 6*x**2. Solve l(d) = 0.
-4, -1
Let z(t) be the second derivative of -3*t**5/20 - t**4 + 5*t**3/2 - 40*t. Factor z(r).
-3*r*(r - 1)*(r + 5)
Let o(w) = 5*w**3 + 4*w**2 - 3*w - 2. Let n(c) = -6*c**3 - 5*c**2 + 3*c + 3. Let f(g) = 4*n(g) + 5*o(g). Factor f(l).
(l - 1)**2*(l + 2)
Suppose 5*t + 17 = 3*y, -23*t + 22*t - 9 = -2*y. Find w such that w**y - 4/3*w + 0 + 11/3*w**3 + 8/3*w**2 = 0.
-2, 0, 1/3
Let w = -1 + 19/4. Factor -3*m**2 - w*m**4 + 0*m + 9*m**3 + 0.
-3*m**2*(m - 2)*(5*m - 2)/4
Suppose -5*t = -5 - 5. Let m(b) be the second derivative of -1/30*b**6 + 0*b**4 + 1/84*b**7 - b + 0*b**t + 0*b**3 + 0 + 1/40*b**5. Suppose m(w) = 0. What is w?
0, 1
Suppose -3*l - 6 = 3*o, -1 = -5*o - 3*l - 3. Suppose 4*u**2 + o*u**3 + u**2 - 5*u**2 - 2*u = 0. What is u?
-1, 0, 1
Let v = 10 - 12. Let b be (3 - 5)/(v - 4). Factor 0 + 1/3*m**5 + b*m**4 + 0*m + 0*m**2 + 0*m**3.
m**4*(m + 1)/3
Let i = -45 - -48. Let x = 97/4 + -24. Factor -1/4*p + 1/4*p**i + x - 1/4*p**2.
(p - 1)**2*(p + 1)/4
Suppose -4*h - 16 = 0, 2*h - 24 = -3*j + j. Let z(p) = p + 10. Let a be z(9). Factor j*r + 6 + a*r**3 - 1 - 1 + 25*r**2 + 7*r**4 + r**5.
(r + 1)**3*(r + 2)**2
Suppose 4*d = 8*d - 12. Let n(a) be the third derivative of 0*a + 1/30*a**5 + 0 + 1/12*a**4 - a**2 - 2/3*a**d. Determine g so that n(g) = 0.
-2, 1
Let h(c) be the third derivative of c**7/3150 - c**6/300 + c**5/75 + c**4/24 - 6*c**2. Let f(q) be the second derivative of h(q). Find o, given that f(o) = 0.
1, 2
Let o(r) be the third derivative of 17*r**6/120 + r**5/60 - 3*r**3/2 - 2*r**2. Let n(c) = 4*c**3 - 2. Let d(a) = 9*n(a) - 2*o(a). Find x, given that d(x) = 0.
0, 1
Suppose 3*b = 3*p, -3*p - p - 2*b = 0. Let i = -7 - -7. Factor i*a**3 - 1/5*a**2 + 1/5*a**4 + 0*a + p.
a**2*(a - 1)*(a + 1)/5
Let v = 6 - 4. Let z(y) be the third derivative of 0*y**4 + 0*y - 1/360*y**6 - 1/1008*y**8 + 0*y**3 + 2*y**v - 1/315*y**7 + 0 + 0*y**5. Factor z(d).
-d**3*(d + 1)**2/3
Let m(b) = 4*b**3 + 9*b**2 - 3*b + 17. Let i(l) = -l**3 - 2*l**2 + l - 4. Let d(c) = 9*i(c) + 2*m(c). Factor d(t).
-(t - 1)**2*(t + 2)
Suppose 0 = 3*b + 125 - 131. Factor -2/5*x**b - 4/5 + 6/5*x.
-2*(x - 2)*(x - 1)/5
Let d(y) = -y + 9. Let v = 11 - 5. Let i be d(v). Determine q so that q**3 - 3*q**4 + q**3 + 3*q**2 - 4*q**i + 3*q - q**3 = 0.
-1, 0, 1
Factor -1/3*p + 0 + 1/3*p**2.
p*(p - 1)/3
Suppose 2*f = 13 + 13. Let j = -38/3 + f. Factor -j*v + 0*v**3 + 0 - 3/2*v**2 + 9/2*v**4.
v*(3*v - 2)*(3*v + 1)**2/6
Let -25*j**3 + 72*j + 7*j**3 - 185*j**2 + 182*j**2 - 3*j**4 - 48 = 0. Calculate j.
-4, 1
Let t(g) be the first derivative of -g**3/2 - 9*g**2/2 - 27*g/2 - 3. Factor t(v).
-3*(v + 3)**2/2
Let z(i) be the second derivative of i**7/840 + i**6/360 - i**3/6 - 4*i. Let b(d) be the second derivative of z(d). Solve b(y) = 0 for y.
-1, 0
Let d be -27 + 0 + 6/(-6). Let y be (d/63)/(2/(-3)). Solve y*m - 1/3 - 1/3*m**2 = 0.
1
Let i(q) be the third derivative of -1/10*q**5 - 3/20*q**6 + 0*q + 4/3*q**3 + 2/3*q**4 + 2*q**2 + 0. Let i(k) = 0. What is k?
-2/3, 1
Factor -4 - 8/3*k - 4/9*k**2.
-4*(k + 3)**2/9
Suppose m + 6 = 2*m. Suppose 3*a = 5*a - m. Factor -d**2 + a*d**4 - 4*d**2 + 2*d**2.
3*d**2*(d - 1)*(d + 1)
Let i(z) be the third derivative of -1/1512*z**8 + 0 + 0*z**7 + 0*z**6 + 0*z**4 - z**2 + 0*z + 0*z**3 + 0*z**5. Determine h, given that i(h) = 0.
0
Factor -1/2 - 1/2*l**2 - l**3 + l**4 - 1/4*l**5 + 5/4*l.
-(l - 2)*(l - 1)**3*(l + 1)/4
Let m(z) be the first derivative of z**4/18 - z**2/3 - z + 1. Let o(n) be the first derivative of m(n). Find h, given that o(h) = 0.
-1, 1
Let z(w) be the second derivative of -w**6/30 + w**5/4 - 3*w**4/4 + 7*w**3/6 - w**2 + 15*w. Factor z(s).
-(s - 2)*(s - 1)**3
Let a be (12/1395)/((-21)/(-2124)). Let g = -2/155 + a. Suppose -g*i**2 + 2/7*i + 0 = 0. What is i?
0, 1/3
Suppose 0 = -2*x - 4*p + 10, -4*x + 27 = -2*p - 3. Suppose -4*f - 9 = -x*f. Find c such that 2/3*c**2 + 2/3*c**f + 0*c + 0 = 0.
-1, 0
Suppose -6/