5*j**4 + 0*j. Factor u(m).
-4*m*(m - 2)*(m - 1)**2/5
Suppose 5*r - 53 = s - 124, 4*s - 389 = -r. Factor -2/3*p**2 - s - 16*p.
-2*(p + 12)**2/3
Let g(a) be the first derivative of 1/6*a**3 + 0*a + 13 - 3/4*a**2. Factor g(f).
f*(f - 3)/2
Let y = -2628/5 - -7894/15. Solve 4/3*g + y + 2/3*g**2 = 0 for g.
-1
Let j(u) be the third derivative of -u**8/560 + 3*u**7/280 - u**6/40 + u**5/40 + u**3/6 - 5*u**2. Let b(r) be the first derivative of j(r). Factor b(z).
-3*z*(z - 1)**3
Let f(j) = 2*j**3 + 30*j**2 - 54*j + 10. Let a(q) = -q**3 - q**2 + 3*q + 1. Let o(b) = 6*a(b) + f(b). Factor o(l).
-4*(l - 4)*(l - 1)**2
Let l(m) be the second derivative of 21*m**4/16 - 19*m**3/16 - 9*m**2/8 + m + 110. Solve l(s) = 0.
-3/14, 2/3
Suppose 3*w = 2*w + 5. Factor -12*c**4 - 12*c**3 - 3*c**w - 11*c**2 + 17*c**2 + 3 + 3 + 15*c.
-3*(c - 1)*(c + 1)**3*(c + 2)
Let u(v) = 379*v + 4548. Let j be u(-12). Factor -3/5*t**3 - 6/5*t**4 + 0*t + 0 + j*t**2 - 3/5*t**5.
-3*t**3*(t + 1)**2/5
Let l(y) be the first derivative of 35 + 5/7*y**2 - 2/21*y**3 + 12/7*y. Find f, given that l(f) = 0.
-1, 6
Let k(v) be the first derivative of -3/5*v**2 - 1/40*v**4 - 50 + 4/5*v + 1/5*v**3. Factor k(s).
-(s - 2)**3/10
Let p(l) be the first derivative of 26 + 1/3*l**6 + 0*l**2 + 0*l + 4/5*l**5 - 1/2*l**4 - 4/3*l**3. Solve p(a) = 0.
-2, -1, 0, 1
Let v = 36 - 21. Let b = v - 12. Factor -x**2 - x**5 - 4*x**3 - b*x**4 + x**3 + 0*x**5.
-x**2*(x + 1)**3
Factor -1250/9 - 8/9*g**2 - 200/9*g.
-2*(2*g + 25)**2/9
Let n(s) be the third derivative of -3*s**5/10 + 17*s**4/6 + 8*s**3/3 + 104*s**2. Solve n(g) = 0.
-2/9, 4
Factor 180 + 35*f**2 - 5*f**3 + 6114*f - 6234*f - 90*f**2.
-5*(f - 1)*(f + 6)**2
Let k(w) be the second derivative of -w**6/70 + w**4/28 - 146*w + 2. Factor k(q).
-3*q**2*(q - 1)*(q + 1)/7
Suppose -2*o + 3*o = -2*c - 1, -4 = c + 4*o. Factor c - 2/5*q**2 + 8/5*q.
-2*q*(q - 4)/5
Let o be ((-736)/1656)/(1 + 35/(-9)). Suppose 0*b + 0 + 0*b**3 - 2/13*b**2 + o*b**4 = 0. What is b?
-1, 0, 1
Solve -21/5*r**3 + 2/5*r**4 + 34/5*r**2 + 132/5*r - 72/5 = 0 for r.
-2, 1/2, 6
Let m(d) = 22*d - 1516. Let g be m(69). Factor 5/3*s**4 + 0 + 0*s**g + 5*s**3 + 0*s.
5*s**3*(s + 3)/3
Let k(n) be the third derivative of 0*n + 1/6*n**3 + 1/30*n**5 - 1/336*n**8 + 1/8*n**4 - 1/70*n**7 - 29*n**2 + 0 - 1/60*n**6. Find z, given that k(z) = 0.
-1, 1
Let g be (-1)/(-12)*(609/(-56) - -6). Let n = 3/32 - g. What is b in -1/2*b + 1/2 + n*b**3 - 1/2*b**2 = 0?
-1, 1
Let d(j) be the second derivative of -1/3*j**3 + 0 + 0*j**2 + 9*j - 2/9*j**4 - 1/30*j**5. Factor d(l).
-2*l*(l + 1)*(l + 3)/3
Let i(x) be the second derivative of x**5/300 - x**4/60 - 3*x**2 + 7*x. Let y(c) be the first derivative of i(c). What is j in y(j) = 0?
0, 2
Suppose 0 = -4*o + 4*r - 16, -7*o + 12 = -4*o + 3*r. Let p be (o/(-3))/((-1)/2*-4). Determine b so that -2/3*b**2 - 1/3*b**3 + p + b = 0.
-3, 0, 1
Factor -9*x + 27/5*x**2 - 3/5*x**3 - 15.
-3*(x - 5)**2*(x + 1)/5
Let q(k) be the first derivative of 7*k**6/24 - k**5/12 - 6*k**2 - 15. Let m(n) be the second derivative of q(n). Factor m(t).
5*t**2*(7*t - 1)
Let g(x) be the third derivative of x**5/180 + 7*x**4/9 + 55*x**3/18 + 2*x**2 + 30. Factor g(f).
(f + 1)*(f + 55)/3
Suppose 4*n - 98 = -7*y + 2*y, -12 = 4*n. Let l(r) = -r**3 + r - 1. Let s(g) = 10*g**3 - 14*g**2 - 60*g + 11. Let v(j) = y*l(j) + 2*s(j). Factor v(a).
-2*a*(a + 7)**2
Let b(i) = i**3 + 5*i**2 - 6*i. Let l be (-4)/20 - 1620/25. Let x(v) = 10*v**3 + 55*v**2 - 65*v. Let z(y) = l*b(y) + 6*x(y). Factor z(j).
-5*j**2*(j - 1)
Suppose -2*m + 15 = 3*n, 5*m - n = 7*m - 5. Let j(w) be the second derivative of 0 + 0*w**2 - 1/20*w**5 + m*w**4 + 0*w**3 + 1/30*w**6 - 4*w. Factor j(y).
y**3*(y - 1)
Let v(m) = -m**2 + 2*m + 2. Let x(y) = 2*y**2 + 192*y + 9407. Let c(j) = v(j) + x(j). Let c(o) = 0. What is o?
-97
Let r(v) = -v + 10. Let k be r(7). Factor -12*w**3 - 17*w**3 + 14 - 3*w**4 - 6*w**2 + 11*w**3 + 15*w - 5 + k*w**5.
3*(w - 3)*(w - 1)*(w + 1)**3
Suppose 3/7*w**3 + 0 + 4/7*w**5 - 16/7*w**2 + 13/7*w**4 - 4/7*w = 0. What is w?
-2, -1/4, 0, 1
Let h(q) be the first derivative of 48/13*q**3 + 54/13*q + 8/13*q**4 + 81/13*q**2 + 39. Factor h(x).
2*(x + 3)*(4*x + 3)**2/13
Let f(d) = -3*d - 3. Let q be f(-2). Let k(z) = 14*z**3 + 6*z**2. Let v(h) = -14*h**3 - 7*h**2. Let g(w) = q*k(w) + 2*v(w). Factor g(n).
2*n**2*(7*n + 2)
Let x(l) = 8*l**5 + 5*l**4 - 20*l**3 - 32*l**2 + 18*l + 7. Let k(w) = w**5 - 2*w**3 - 2*w + 1. Let v(u) = -14*k(u) + 2*x(u). Find m such that v(m) = 0.
-4, 0, 1, 2
Find m such that 64/5 + 2/5*m**3 + 26/5*m**2 - 92/5*m = 0.
-16, 1, 2
Factor 6/7 - 2/7*y + 2/7*y**3 - 6/7*y**2.
2*(y - 3)*(y - 1)*(y + 1)/7
Let x be 9/((-756)/60) - (-162)/70. Factor x*w**3 + 4/5*w**5 + 8/5*w**2 - 12/5*w**4 + 4/5 - 12/5*w.
4*(w - 1)**4*(w + 1)/5
Let t(d) be the first derivative of -2/27*d**3 - 1/18*d**4 + 0*d + 2/45*d**5 - 3 + 1/9*d**2. Factor t(a).
2*a*(a - 1)**2*(a + 1)/9
Let u(a) be the first derivative of 0*a + 1/7*a**2 + 1/21*a**6 - 1/7*a**4 + 0*a**3 + 0*a**5 + 14. Solve u(j) = 0.
-1, 0, 1
Suppose 14*x + 2308 - 152 = 0. Let y = -152 - x. Find z such that -4/7*z**3 + 0*z - 4/7*z**y + 0 = 0.
-1, 0
Factor 2/11*r + 6/11*r**3 + 0 - 2/11*r**4 - 6/11*r**2.
-2*r*(r - 1)**3/11
Let t be -35*(-6)/150 + 3/5. Let y(w) be the third derivative of 0*w + 0 - t*w**2 + 3/20*w**5 + 0*w**3 - 1/12*w**4. Factor y(x).
x*(9*x - 2)
Let x(k) = -k**2 + 7*k - 10. Let a be x(4). Find y such that -3/2*y**a + 3*y - 3/2 = 0.
1
Let z be 155/45 + (-4)/9. Let f(q) be the first derivative of 4*q - 7 - 4/3*q**z + 2/3*q**2 - 1/3*q**4. Factor f(i).
-4*(i - 1)*(i + 1)*(i + 3)/3
Let s(r) be the second derivative of 1/84*r**4 + 0 - 11*r + 0*r**3 + 0*r**2 + 1/140*r**5. Let s(i) = 0. What is i?
-1, 0
Let u(o) be the first derivative of o**6/480 - o**5/60 + o**4/32 + 11*o**2/2 - 10. Let l(c) be the second derivative of u(c). Factor l(i).
i*(i - 3)*(i - 1)/4
Let p(m) be the second derivative of 1/24*m**4 + 1/24*m**3 + 0 - 1/60*m**6 + 0*m**2 + 0*m**5 - 22*m - 1/168*m**7. Factor p(q).
-q*(q - 1)*(q + 1)**3/4
Let i = 239 + -713/3. Let k(d) be the second derivative of 0*d**2 + 5*d + i*d**3 - 1/3*d**4 + 0. Solve k(g) = 0 for g.
0, 2
Let t be (4 - 2)*(-1 - -2)/1. Let 8*a + 18*a**t - 9 + 1 - 16 - 2*a**4 = 0. Calculate a.
-2, 1, 3
Let f be 15/(-10)*(-16)/6. Determine c so that 17*c**5 - 15*c**f - 12*c**5 - 10*c - c**4 - 36*c**3 - 7*c**5 - 32*c**2 = 0.
-5, -1, 0
Let s = -1355 + 1363. Let z(x) be the first derivative of -18*x**2 + 6 + 16/3*x**3 + s*x. What is i in z(i) = 0?
1/4, 2
Let h(c) be the third derivative of -c**9/9072 + c**8/1680 - c**7/1260 - 3*c**3 - 11*c**2. Let k(g) be the first derivative of h(g). Factor k(i).
-i**3*(i - 2)*(i - 1)/3
Let k be -14*(-161*64/105840 - 2/27). What is q in -4/5*q**2 - 8/5 - k*q = 0?
-2, -1
Suppose -1330 = -66*f - 1000. Let 1/2*p**3 + p**4 + 0 - 1/2*p**f - p**2 + 0*p = 0. Calculate p.
-1, 0, 1, 2
Let o = -582 + 584. Let w(x) be the first derivative of -4/3*x**3 + 8 - 16*x + 16*x**o - 3*x**4. Find a, given that w(a) = 0.
-2, 2/3, 1
Let p(a) be the first derivative of -44*a**3/15 + 92*a**2/5 - 32*a/5 - 101. Factor p(n).
-4*(n - 4)*(11*n - 2)/5
Let o(u) = -u**2 - 5*u - 2. Let n be o(-2). Let z(j) = j**5 - j**3 + j**2 + 1. Let c(t) = 16*t**4 + 24*t**3 + 4*t**2 - 4. Let r(k) = n*z(k) + c(k). Factor r(x).
4*x**2*(x + 1)**2*(x + 2)
Let g(t) be the second derivative of 11*t - 1/12*t**3 - 1/40*t**5 + 0*t**2 + 1/12*t**4 + 0. Factor g(d).
-d*(d - 1)**2/2
Let c = -1 + 4. Suppose -c = -k - 0*k. Factor -332 - 16*f + k*f + 338 + 5*f**2.
(f - 2)*(5*f - 3)
Let x(q) be the third derivative of 0*q + 1/12*q**3 + 0*q**5 - 1/32*q**4 + 44*q**2 + 1/480*q**6 + 0. Factor x(l).
(l - 1)**2*(l + 2)/4
Factor 13*y**5 - 5*y**2 + 12*y**3 + y**2 - 12*y**4 - 6*y**5 - 3*y**5.
4*y**2*(y - 1)**3
Factor 0*m**2 + 3/2*m - 3/2*m**3 + 0.
-3*m*(m - 1)*(m + 1)/2
Let n = -116 - -116. Let d be (1 - -4) + -3 + n. Solve 4/7*t - 2/7*t**d + 0 = 0 for t.
0, 2
Let n = -20 - -14. Let z(p) = -p**2 - 8*p - 10. Let o be z(n). Find w, given that -10*w - 6*w + 12*w**o + w**3 - 16 + 15*w**3 + 4*w**4 = 0.
-2, -1, 1
Suppose 0 = -2*k - 3*c + 23 + 56, -c - 223 = -5*k. Factor k*v + 163*v**2 + 8 - 143*v**2 - 1 - 12*v**3 + 5.
-4*(v - 3)*(v + 1)*(3*v + 1)
Let l(r) be the second derivative of r**7/1260 - r**6/40 - r**5/6 - 5*r**4/12 + r - 