.
-3*k*(k - 1)
Let h = -2/37 - -92/333. Factor 2/3*l**4 + 0*l + 2/9*l**2 - 2/3*l**3 + 0 - h*l**5.
-2*l**2*(l - 1)**3/9
Let p(j) be the first derivative of -5/9*j**3 + 3 + 1/3*j**2 + 1/4*j**4 + 0*j. Factor p(s).
s*(s - 1)*(3*s - 2)/3
Let t = 28 + -26. Let s = -19 + 77/4. Factor -1/4*p**t + s + 0*p.
-(p - 1)*(p + 1)/4
Let q(w) be the second derivative of w**6/75 - 3*w**5/25 + 13*w**4/30 - 4*w**3/5 + 4*w**2/5 - w. Factor q(l).
2*(l - 2)**2*(l - 1)**2/5
Let a(o) = -3*o**3 + 39*o. Let x(h) = 3*h**3 - h**2 - 38*h. Let r(s) = 2*a(s) + 3*x(s). Factor r(m).
3*m*(m - 4)*(m + 3)
Factor -3/2*n**4 + 0*n**3 + 3*n**2 + 0*n - 3/2.
-3*(n - 1)**2*(n + 1)**2/2
Let h(i) be the first derivative of 2*i**5/45 - i**4/9 + 2*i**3/27 + 25. Determine n so that h(n) = 0.
0, 1
Let n(z) be the third derivative of 1/210*z**7 + 11*z**2 + 0 + 0*z + 1/12*z**4 + 0*z**3 + 1/30*z**6 + 1/12*z**5. Find x such that n(x) = 0.
-2, -1, 0
Determine d, given that 0 + 4/3*d**2 - 8/3*d = 0.
0, 2
Suppose 16 + 4 = 5*z. Determine w so that -4*w**2 - 3*w**3 - 8*w + 2 + 19*w**3 - 8*w**5 + 4*w**z - 2*w**4 = 0.
-1, 1/4, 1
Suppose 6 = 2*w - 4. Let o(f) be the third derivative of 0 + 0*f + 2*f**2 + 1/36*f**4 - 1/630*f**7 + 1/18*f**3 + 0*f**w - 1/180*f**6. Solve o(h) = 0.
-1, 1
Let g = 2 + -4. Let k be (-65)/(-15) + g/(-3). Factor 2*v**4 - 6*v**3 + 2*v**4 - 2*v**k + v**5 + 4*v**2 - v.
-v*(v - 1)**4
Let k(t) be the third derivative of t**7/840 - t**5/240 + 9*t**2. Find p, given that k(p) = 0.
-1, 0, 1
Let o(q) = -q**3 - 4*q**2 + 2*q + 5. Let l be o(-4). Let d be 5 - (-3 + 2)*l. Factor 9*b**3 + b - b**d - b - 8*b**3.
b**2*(b - 1)
Let a = -7 + 9. Factor 0*g**3 - 2*g**2 + 3*g**3 + 5*g**a.
3*g**2*(g + 1)
Let v(i) be the first derivative of -i**5/90 + i**4/36 + 2*i**3/9 + 3*i**2/2 - 2. Let r(o) be the second derivative of v(o). Factor r(m).
-2*(m - 2)*(m + 1)/3
Let u(b) be the second derivative of -b**5/4 + 25*b**4/6 - 125*b**3/6 - b - 22. Factor u(j).
-5*j*(j - 5)**2
Let x be ((-20)/100)/(3*(-2)/75). Suppose x*f**2 - f + 7/2*f**3 + 0 = 0. Calculate f.
-1, 0, 2/7
Let t(q) = -6*q - 4. Let y be t(-1). Let m = 5 - 3. Solve -h**5 - y*h**5 + h**3 + m*h**5 = 0 for h.
-1, 0, 1
Let o = -403 - -1214/3. Let -4/3*t**2 + 0 + 0*t + o*t**4 - 8/3*t**3 = 0. Calculate t.
-2/5, 0, 2
Let w(s) = 8*s**4 - 9*s**3 + 6*s**2 + 4*s + 4. Let y(c) = c**4 + c**2 + c + 1. Let x(g) = w(g) - 4*y(g). Let x(r) = 0. Calculate r.
0, 1/4, 2
Let o(z) be the second derivative of z**5/30 - z**4/6 + z**3/3 + z**2 + 3*z. Let r(s) be the first derivative of o(s). Factor r(v).
2*(v - 1)**2
Let b(g) be the second derivative of -g**6/10 + 3*g**5/20 + 3*g**4/4 - 5*g**3/2 + 3*g**2 + 14*g. Solve b(v) = 0 for v.
-2, 1
Let p(r) = 2*r**3 - 5*r + 3. Let f(c) = -21*c + 2*c**3 + 13 + 7*c**3 - c**2 + 0*c**2. Let l(s) = 6*f(s) - 26*p(s). Factor l(x).
2*x*(x - 2)*(x - 1)
Suppose -4*p - p = z - 15, 4*p = -5*z + 12. Find j such that 0 - 4/7*j**2 + 2/7*j**4 + 0*j + 2/7*j**p = 0.
-2, 0, 1
Let a(l) = l**2 + l - 1. Let f(t) = -4*t**2 - 7*t - 1. Let g(p) = 3*a(p) + f(p). Suppose g(k) = 0. Calculate k.
-2
Let j(s) = s**3 - 41*s**2 - 85*s - 43. Let c be j(43). Let 1/4*o**3 + 1/4*o**5 - 1/2*o + c - 3/4*o**2 + 3/4*o**4 = 0. What is o?
-2, -1, 0, 1
Find c such that -8*c - 12*c**2 + 54*c**3 - 9*c**3 - 25*c**3 = 0.
-2/5, 0, 1
Suppose 3*n + 12 = 5*b - 0*n, -4*b + 4 = -n. Let u(r) be the first derivative of b*r**2 + 1 - 2/21*r**3 + 2/7*r. Factor u(d).
-2*(d - 1)*(d + 1)/7
Let h(w) be the third derivative of w**8/84 + 2*w**7/105 - w**6/30 - w**5/15 + 5*w**2. Let h(a) = 0. What is a?
-1, 0, 1
Suppose -5*x - 3 - 2 = -3*v, 2 = 2*v - 2*x. Determine b so that v - 3/2*b**2 + 3/2*b = 0.
0, 1
Let w(p) be the second derivative of 0*p**2 - 7*p + 1/36*p**4 + 0 - 1/18*p**3. Suppose w(o) = 0. Calculate o.
0, 1
Suppose -5*i = -21 - 4. Let p = -3 + i. Factor -k**2 + 3*k**p - k + 3*k.
2*k*(k + 1)
Suppose 0 = 5*s - 68 + 53. Suppose -5*z = 3*i - z - 26, -3*i + 3*z = 9. Factor 1/2*t**i + 0*t - 1/2*t**4 - 1/2*t**s + 0 + 1/2*t**5.
t**2*(t - 1)**2*(t + 1)/2
Let s be (-698)/10 + (-5)/25. Let d be (-22)/(-55) - 12/s. Let 0 + 2/7*u**2 - 2/7*u**3 + d*u = 0. Calculate u.
-1, 0, 2
Let n(q) be the first derivative of -q**6/9 + 4*q**5/15 + q**4/3 - 16*q**3/9 + 7*q**2/3 - 4*q/3 + 1. Factor n(a).
-2*(a - 1)**4*(a + 2)/3
Let s(b) be the second derivative of b**7/126 + 2*b**6/45 + b**5/10 + b**4/9 + b**3/18 + 3*b. Factor s(o).
o*(o + 1)**4/3
Let s(h) be the second derivative of -h**4/42 - h**3/21 - 13*h. Find y such that s(y) = 0.
-1, 0
Let v = -2 + 7. Let m be (-16)/(-10) + (-6)/(-15). Solve -10*n**v - m + 14*n**4 + 2 - 4*n**3 = 0.
0, 2/5, 1
Let z = 9 - 5. Factor 4*h**3 + 2*h**z - h**5 - 2*h**2 + 2 - 2*h**2 + 14*h - h**5 - 16*h.
-2*(h - 1)**3*(h + 1)**2
Let n(q) be the third derivative of -7*q**5/30 + 11*q**4/12 - 4*q**3/3 + 13*q**2. Factor n(f).
-2*(f - 1)*(7*f - 4)
Let c(h) be the third derivative of -h**9/40320 - h**8/5040 - h**7/1440 - h**6/720 + h**5/20 + 3*h**2. Let n(j) be the third derivative of c(j). Factor n(u).
-(u + 1)**2*(3*u + 2)/2
Let k(j) be the third derivative of j**6/150 - 2*j**5/75 - j**4/10 - 16*j**2 + 1. Find m such that k(m) = 0.
-1, 0, 3
Suppose 1/4*f + 3*f**4 - 11/4*f**3 + 0 - 1/2*f**2 = 0. What is f?
-1/3, 0, 1/4, 1
Let x = 127 - 28. Let z be 0/(-1) - x/(-55). What is l in z*l**3 + 3/5*l + 0 + 3/5*l**4 + 9/5*l**2 = 0?
-1, 0
Let u(x) be the first derivative of -3*x**5/5 + 2*x**3 - 3*x - 23. Factor u(j).
-3*(j - 1)**2*(j + 1)**2
Suppose -10*i + 9939 = -7*i. Let v = i - 23115/7. What is u in 2/7*u**5 + v*u**2 + 8*u + 16/7 + 16/7*u**4 + 50/7*u**3 = 0?
-2, -1
Let s(f) be the first derivative of f**6/6 + f**5/5 - 4. Determine i so that s(i) = 0.
-1, 0
Suppose 5*q + 0*q = 3*q. Factor 8/3*i**2 + 2/9*i**4 + q + 4/3*i**3 + 16/9*i.
2*i*(i + 2)**3/9
Let f(i) be the second derivative of 1/40*i**5 - 1/8*i**2 + 1/12*i**4 - i - 1/12*i**3 + 0 - 1/40*i**6. What is m in f(m) = 0?
-1, -1/3, 1
Let x(b) = -103*b**2 - 3*b + 2. Let w be x(1). Let f be (-7)/3*w/91. Factor -f*z + 8/3 + 2/3*z**2.
2*(z - 2)**2/3
Suppose 0 = z + 3*z + 4*t - 40, 4*t - 4 = 0. Let q be (15/z)/5 - -1. Factor q + 4/3*n + 1/3*n**2.
(n + 2)**2/3
Let q = -31 + 10. Let h be (-14)/q*6*1. What is g in 6*g**5 + 11*g**2 + g**2 - 3*g**3 - 9*g**h - 3*g**3 + 2 - 5 = 0?
-1, -1/2, 1
Let x(y) be the third derivative of 0*y - 2/3*y**3 - 1/30*y**5 + 0 + y**2 + 1/4*y**4. Solve x(v) = 0 for v.
1, 2
Let w be 3/12*2/11. Let s(j) be the first derivative of -w*j**4 + 0*j - 1 + 0*j**3 + 0*j**2 + 0*j**5 + 1/33*j**6. Determine o, given that s(o) = 0.
-1, 0, 1
Find j, given that 8/5*j + 2/5*j**2 + 8/5 = 0.
-2
Let r be (3*1)/(3/2). Let g = 8 - r. Solve 4 - 2*x**2 + 4*x**2 + x - x + g*x = 0 for x.
-2, -1
Let z(k) be the second derivative of -k**10/30240 - k**9/5040 + k**7/630 + k**4/4 + 8*k. Let w(a) be the third derivative of z(a). Solve w(i) = 0.
-2, 0, 1
Let r(p) be the third derivative of -1/525*p**7 + 0*p**3 + 1/150*p**5 + 7/600*p**6 + p**2 + 0*p + 0*p**4 + 0 - 1/240*p**8. Solve r(f) = 0 for f.
-1, -2/7, 0, 1
Let b be (1 - 5)*(-2)/4. Factor -14*g**3 - 7*g - 4*g - 5*g**b - 14*g**2 - 3*g**4 - 2 + g**3.
-(g + 1)**2*(g + 2)*(3*g + 1)
Suppose -3*f + 38 = -34. Factor f*x**2 + 128 + 42*x - 2*x**3 + 34*x + 20*x + 4*x**3.
2*(x + 4)**3
Let j be 3/(-2) - 485/(-30). Find x, given that 44/3*x**4 + 16*x**3 - 56/3*x**5 + 8/3*x - j*x**2 + 0 = 0.
-1, 0, 2/7, 1/2, 1
Let o(v) be the third derivative of -v**7/336 + v**6/360 + v**3/2 - 4*v**2. Let z(b) be the first derivative of o(b). Factor z(r).
-r**2*(5*r - 2)/2
Let i(u) = -5*u - 8. Let s(v) = 11*v + 17. Let h(q) = -13*i(q) - 6*s(q). Let j be h(0). Factor 3*a - a + a**2 + 0*a**j.
a*(a + 2)
Let f = -139/33 + 50/11. Factor -1/3*a - f*a**3 + 0 + 2/3*a**2.
-a*(a - 1)**2/3
Let v(b) be the second derivative of -2*b**2 - 2/5*b**5 - 4*b + 0*b**4 + 2/15*b**6 + 4/3*b**3 + 0. Find w, given that v(w) = 0.
-1, 1
Let s(u) = -u**2 - 2*u + 3. Let i(b) = -b**2 - b + 2. Let c = -6 - -10. Suppose -14 = -z + 2*p, 5*z - c*z = p + 10. Let g(l) = z*i(l) - 4*s(l). Factor g(q).
-2*q*(q - 1)
Let c(q) be the third derivative of -q**5/20 + q**4/2 + 23*q**3/6 - q**2. Let r(z) = 5*z**2 - 18*z - 35. Let k(n) = 8*c(n) + 5*r(n). Factor k(u).
(u + 3)**2
Factor 5/3*j**3 - 3*j**2 - 1/3*j**4 - 2/3 + 7/3*j.
-(j - 2)*(j - 1)**3/3
Let b(h) be the first derivati