*d**3 + 0*d**5 + 0*d**2. Let h(i) be the first derivative of n(i). Factor h(q).
-2*q**2*(q - 1)*(q + 1)/5
Let a(b) be the second derivative of -1/240*b**5 + 1/2*b**2 - 1/48*b**4 + 0 + 1/480*b**6 - b + 0*b**3. Let i(j) be the first derivative of a(j). Solve i(l) = 0.
-1, 0, 2
Let s(n) be the first derivative of 5*n**6/6 - 7*n**5 + 75*n**4/4 - 25*n**3/3 - 40*n**2 + 60*n - 27. Suppose s(o) = 0. What is o?
-1, 1, 2, 3
Let i = -13 - -17. Let c(t) be the second derivative of -1/15*t**5 + 0 - 1/9*t**i + 1/9*t**3 + t + 1/45*t**6 + 1/63*t**7 + 1/3*t**2. Factor c(w).
2*(w - 1)**2*(w + 1)**3/3
Suppose y - 2*y = -3. Let a = -8 - -10. Solve -u + 4*u - 1 + 3*u**3 - y*u**a - 2*u**3 = 0.
1
Let w(m) be the second derivative of -m**7/84 + m**5/40 - 2*m. What is y in w(y) = 0?
-1, 0, 1
Let j(y) be the second derivative of -5*y**7/39 - 116*y**6/195 - 83*y**5/130 + 17*y**4/39 + 28*y**3/39 - 8*y**2/13 + 8*y. Let j(h) = 0. Calculate h.
-2, -1, 2/7, 2/5
Let c(w) be the third derivative of w**7/1050 + w**6/60 + 37*w**5/300 + w**4/2 + 6*w**3/5 - 22*w**2. Let c(s) = 0. Calculate s.
-3, -2
Let p(n) be the second derivative of n**7/252 - n**6/180 - n**5/60 - 2*n. Find m such that p(m) = 0.
-1, 0, 2
Let t(q) = 8*q - 2. Let j(h) = -h**2 + 9*h - 3. Let m(c) = 2*j(c) - 3*t(c). Factor m(l).
-2*l*(l + 3)
Let l(m) be the third derivative of 0 + 1/270*m**6 + 0*m + 0*m**7 + 0*m**5 + 0*m**3 - 1/1512*m**8 - 1/108*m**4 - 3*m**2. Factor l(y).
-2*y*(y - 1)**2*(y + 1)**2/9
Let g(d) be the third derivative of 0 + 1/108*d**4 + 0*d**3 + 1/270*d**5 - d**2 + 0*d. Factor g(j).
2*j*(j + 1)/9
Let q = 83/4 + -573/28. Suppose 0*y + 2/7*y**2 - q = 0. What is y?
-1, 1
Let k = 85042/5 - 17101. Let q = k + 93. Determine g, given that -7/5*g**3 + 7/5*g + g**4 - q - 3/5*g**2 = 0.
-1, 2/5, 1
Let j(u) be the third derivative of u**8/168 - u**7/75 - u**6/100 + 7*u**5/150 - u**4/30 - 10*u**2. Determine l, given that j(l) = 0.
-1, 0, 2/5, 1
Let s(f) be the first derivative of -f**4/3 - 40*f**3/9 - 50*f**2/3 - 48. Determine c, given that s(c) = 0.
-5, 0
Let w(b) = -b**5 - 4*b**4 - 2*b**3 - b. Let c(x) be the second derivative of x**6/10 + 3*x**5/20 - 10*x. Let i(k) = -4*c(k) - 3*w(k). Factor i(s).
3*s*(s - 1)**2*(s + 1)**2
Suppose 15*n - 23*n + n**3 + 4*n**2 + 3*n**3 = 0. Calculate n.
-2, 0, 1
Let s be (1 - (-4)/(-20))*(-5)/(-6). Let -1/3*z**2 + 0 - s*z = 0. Calculate z.
-2, 0
Let r(x) = x**3 - 9*x**2 + x - 6. Let n be r(9). Let s(j) be the second derivative of 4/3*j**n - 4*j**2 + 0 + 2*j - 1/6*j**4. Suppose s(p) = 0. What is p?
2
Let m(l) = -8*l**4 - 40*l**3 - 64*l**2 - 27*l. Let n(q) = -4*q**4 - 20*q**3 - 32*q**2 - 13*q. Let h(a) = -3*m(a) + 5*n(a). Find y such that h(y) = 0.
-2, -1, 0
Let z(j) = 4*j. Let g be z(1). What is t in -6*t + 9*t**2 - g + 9*t**2 + 4*t + 26*t**3 + 15*t**4 - 5*t**4 = 0?
-1, 2/5
Let r(s) be the first derivative of s**9/9072 - s**7/2520 + s**3/3 + 4. Let d(a) be the third derivative of r(a). Factor d(p).
p**3*(p - 1)*(p + 1)/3
Let k(o) be the third derivative of o**7/315 + 2*o**6/135 + 7*o**5/270 + o**4/54 - 31*o**2. Solve k(u) = 0.
-1, -2/3, 0
Let o(p) be the third derivative of -p**5/30 + p**4/24 - p**3/3 - 2*p**2. Let h(c) = c**2. Let m(n) = -3*h(n) - o(n). Determine t so that m(t) = 0.
-2, 1
Let h be 77/(-242) - (-2)/4. Factor h*n**3 + 6/11*n + 6/11*n**2 + 2/11.
2*(n + 1)**3/11
Let o(l) be the third derivative of 0*l**3 + 0 + 0*l - 1/84*l**4 + 4*l**2 - 1/60*l**5. Factor o(r).
-r*(7*r + 2)/7
Suppose -3*n + 9 = 4*p, 2*n - 4*p = -0 + 6. Let d(u) be the second derivative of -5/3*u**n + 0 - 1/10*u**5 + u - 2*u**2 - 2/3*u**4. Let d(h) = 0. Calculate h.
-2, -1
Let f(w) be the third derivative of w**8/1344 - w**7/168 + 3*w**6/160 - 7*w**5/240 + w**4/48 + 5*w**2. Factor f(p).
p*(p - 2)*(p - 1)**3/4
Let o(l) be the third derivative of l**8/6720 - l**6/1440 + l**3/3 + l**2. Let s(i) be the first derivative of o(i). Determine k, given that s(k) = 0.
-1, 0, 1
Let z(p) be the second derivative of 6*p + 0 + 1/9*p**3 - 1/18*p**4 + 2/3*p**2. Factor z(r).
-2*(r - 2)*(r + 1)/3
Let w(c) be the first derivative of c**4/4 + c**3/3 + c**2/2 + 4*c - 4. Let u be w(0). Find d, given that 2*d**5 + 9*d**3 + u*d**2 + d**5 + 9*d**4 - d**2 = 0.
-1, 0
Let j = 3067/6 + -510. Let t = j + -5/6. Factor t*p + 0 - 1/3*p**2.
-p*(p - 1)/3
Let m(x) be the first derivative of -2/5*x**5 + 0*x + 0*x**2 - 2/9*x**6 + 0*x**4 + 2/9*x**3 - 3. Factor m(p).
-2*p**2*(p + 1)**2*(2*p - 1)/3
Let c(n) be the second derivative of -n**9/22680 - n**8/2520 - n**7/945 - n**4/12 + n. Let s(p) be the third derivative of c(p). Factor s(t).
-2*t**2*(t + 2)**2/3
Let p(u) = 5*u**3 + 0*u**3 - u**3 - 40*u**5 + u**4. Let q(i) = i**5 - i**4. Let h = -1 + 0. Let j(o) = h*p(o) - 5*q(o). Factor j(n).
n**3*(5*n + 2)*(7*n - 2)
Find m, given that 0*m - 4/5*m**2 - 18/5*m**4 - 22/5*m**3 + 0 = 0.
-1, -2/9, 0
Solve -24*x**2 + 9 - 27*x**2 + 41*x**2 - 5*x + 1 + 5*x**3 = 0 for x.
-1, 1, 2
Let v(b) be the third derivative of -1/10*b**7 + 0*b - 11/24*b**6 + 3*b**2 + 0*b**3 - 7/15*b**5 + 0 - 1/6*b**4. Determine f so that v(f) = 0.
-2, -1/3, -2/7, 0
Let d be (((-10)/6)/(-5))/45. Let f(b) be the second derivative of b - d*b**6 - 1/90*b**5 + 0*b**2 + 0 + 0*b**3 + 0*b**4. Factor f(z).
-2*z**3*(z + 1)/9
Suppose 2/5*m**5 - 6/5*m + 0*m**4 + 0 - 16/5*m**2 - 12/5*m**3 = 0. Calculate m.
-1, 0, 3
Factor -9/5 - 6*t - 5*t**2.
-(5*t + 3)**2/5
Let 2/5*a**2 - 12/5 + 2/5*a = 0. What is a?
-3, 2
Factor -2/7*s**3 + 2/7*s + 4/7 - 4/7*s**2.
-2*(s - 1)*(s + 1)*(s + 2)/7
Suppose -4 = -s - 2*s + w, -4*s = 3*w - 14. Suppose -15 = -s*k - 3*k. Find x such that 3*x**k - 5 - x**5 + 5 - 2*x**2 = 0.
-2, 0, 1
Factor -6 + r + 140*r**3 - 139*r**3 + r**2 + 3*r**2.
(r - 1)*(r + 2)*(r + 3)
Let t(w) = 29*w**2 - 103*w. Let d(j) = 19*j**2 - 69*j. Let c(b) = -7*d(b) + 5*t(b). Let f(i) = -4*i**2 + 11*i. Let m(q) = -3*c(q) - 8*f(q). Factor m(g).
-4*g*(g - 2)
Let t be 1/1*0/(-4). Let f(s) be the third derivative of 0*s + 0*s**7 + 0*s**6 + s**2 + 0*s**5 + 0 + t*s**3 + 0*s**4 + 1/1008*s**8. Factor f(b).
b**5/3
Let w(l) be the second derivative of -l**5/90 + l**3/27 + 4*l. Let w(d) = 0. Calculate d.
-1, 0, 1
Let u be 8/(-20) + (-184)/(-10). Let p be 3*3/(u/4). Determine v so that 0*v**2 + 4*v**p - 2*v + 0*v - 6*v**2 = 0.
-1, 0
Let h(m) be the third derivative of -m**5/30 + 7*m**2. What is x in h(x) = 0?
0
Let x = 22 - 22. Let m = 2 + x. Factor 3/5*v**m - 1/5*v**3 + 0 - 2/5*v.
-v*(v - 2)*(v - 1)/5
Let v(a) be the first derivative of a**7/4200 + a**6/900 + 2*a**3/3 - 4. Let n(l) be the third derivative of v(l). Factor n(x).
x**2*(x + 2)/5
Suppose -49 - 11 = -4*k - 4*j, 24 = 3*k - 4*j. Let u = k - 8. Factor -q**2 + q**u - q**2 + q**2.
q**2*(q - 1)*(q + 1)
Factor 1/3*i**2 - 1 + 2/3*i.
(i - 1)*(i + 3)/3
Suppose 4*l = 2*u + 28, 7*u = -5*l - 0*u - 3. Find t such that -226/9*t**3 - 70/9*t**l + 8/9 - 70/9*t**2 + 16/9*t - 218/9*t**4 = 0.
-1, -2/5, 2/7
Let m(a) be the third derivative of a**5/20 - a**4/8 - a**2. Suppose m(l) = 0. What is l?
0, 1
Let m(t) be the third derivative of 1/330*t**5 + 1/132*t**6 + 0*t - t**2 - 2/33*t**4 + 0 - 1/1848*t**8 + 4/33*t**3 - 1/1155*t**7. Suppose m(k) = 0. Calculate k.
-2, 1
Let f be -1787*(-2 - 95/(-45)). Let p = 199 + f. Factor 2/9*w + p - 4/9*w**2 - 2/9*w**3.
-2*(w - 1)*(w + 1)*(w + 2)/9
Let m(x) = -2*x**4 - 9*x**3 + 9*x**2 - 8*x + 5. Let k(d) = -3*d**4 - 18*d**3 + 18*d**2 - 15*d + 9. Let s(v) = 5*k(v) - 9*m(v). Factor s(w).
3*w*(w - 1)**3
Suppose -4*j - 4*t - t - 17 = 0, -4*j - t = -3. Let -1/4*c**j + 1/4*c + 0 = 0. Calculate c.
0, 1
Let w = 2101/17700 - -2/177. Let g = w + 3/25. Factor -g*m**2 - 1/2*m - 1/4.
-(m + 1)**2/4
Let w(c) be the second derivative of c**7/105 + 2*c**6/75 - c**4/15 - c**3/15 + 32*c. Find o, given that w(o) = 0.
-1, 0, 1
Let a(s) be the first derivative of -2/21*s**3 - 1 + 1/14*s**4 + 0*s + 4/35*s**5 + 0*s**2. Solve a(t) = 0 for t.
-1, 0, 1/2
Suppose -4*m + a = -13 - 2, -4*m - 5*a = 3. Let r(w) be the second derivative of 0*w**5 - 4*w + 0 + 0*w**2 + 0*w**4 + 0*w**6 - 1/21*w**7 + 0*w**m. Factor r(p).
-2*p**5
Let u(m) be the second derivative of m**4/12 - m**2/2 + 2*m. Let u(j) = 0. Calculate j.
-1, 1
Factor 9*b**3 + 0*b**5 - 2*b**4 - 13*b**4 + 3*b**5 + 27*b**2.
3*b**2*(b - 3)**2*(b + 1)
Factor -24/17*s + 8/17 - 14/17*s**2.
-2*(s + 2)*(7*s - 2)/17
Suppose 2