
-3, -1, 0
Let d(b) be the third derivative of 0*b**3 + 4/945*b**7 + 1/108*b**6 + 0 + 1/1512*b**8 + 0*b**4 + b**2 + 1/135*b**5 + 0*b. Solve d(a) = 0 for a.
-2, -1, 0
Let r(q) = 76*q**3 - 48*q**2 + 16. Let g(l) = -l**3 - l**2 + l - 1. Let v(f) = 16*g(f) + r(f). Suppose v(n) = 0. Calculate n.
0, 2/5, 2/3
Let f(a) = -a - 1. Let c(n) = -2*n**2 - 18*n - 24. Let q(r) = -c(r) + 6*f(r). Factor q(w).
2*(w + 3)**2
Suppose -3*l - 7 = 5*h, -5*l + 14 = -5*h - 1. Let b be ((-9)/(-36))/(h/(-40)). Suppose 0 - 1/3*n**b - 1/3*n**4 + 1/3*n**3 + 0*n + 1/3*n**2 = 0. What is n?
-1, 0, 1
Let i(h) be the second derivative of h**4/18 - 2*h**3/9 - h**2 + 3*h. Suppose i(l) = 0. What is l?
-1, 3
Let r(k) be the second derivative of -k**5/10 - k**4/4 - k**3/6 + 2*k. Find u, given that r(u) = 0.
-1, -1/2, 0
Factor -5*l**2 - 2*l**2 + 2*l + 5*l**2.
-2*l*(l - 1)
Let t(n) be the second derivative of 1/70*n**5 + 0 + 2*n - 1/42*n**4 - 2/21*n**3 + 0*n**2. Factor t(h).
2*h*(h - 2)*(h + 1)/7
Suppose -j - 2 + 5 = 0. Find r, given that j*r**4 + 2*r**2 - r**3 + 3*r**3 + 4*r**3 - r**3 = 0.
-1, -2/3, 0
Suppose 0 = 3*x - 4*q + 20, 6*q = -4*x + q + 25. Factor 0*y**2 - 2/5*y**5 + 0*y + 0 - 2/5*y**4 + x*y**3.
-2*y**4*(y + 1)/5
Suppose 3*u - u = 0. Determine k, given that 1/2*k**2 + 1/2*k**4 - k**3 + 0 + u*k = 0.
0, 1
Let q = -1089/5 + 218. Let -1/5*b**4 + 0 - 3/5*b**2 - q*b - 3/5*b**3 = 0. What is b?
-1, 0
Find l, given that 0 + 8/11*l**2 - 2/11*l**3 - 8/11*l = 0.
0, 2
Let i be -5 + 5 + 2/6. Let z(f) = f + 2. Let n be z(-2). Let n + 0*s - i*s**3 + 1/3*s**2 = 0. Calculate s.
0, 1
Find k, given that 20*k - 6*k**4 + 2*k**5 + 2*k**3 + 5*k**2 + k**2 - 24*k = 0.
-1, 0, 1, 2
Let y(p) be the first derivative of -p**5/20 + p**4/2 - 3*p**3/2 - 5*p**2/2 - 7. Let d(r) be the second derivative of y(r). Find a such that d(a) = 0.
1, 3
Let q be ((-3)/84)/(3 + (-14)/4). Let p(i) be the second derivative of 0 - i - q*i**7 + 1/2*i**3 + 1/5*i**6 - 1/2*i**4 + 0*i**5 + 0*i**2. Factor p(b).
-3*b*(b - 1)**3*(b + 1)
Let d = -1/125 - -139/1750. Let q(m) be the second derivative of 2/21*m**3 + 0*m**2 - 1/14*m**5 - 4*m + 0 + d*m**4. Factor q(r).
-2*r*(r - 1)*(5*r + 2)/7
Suppose 0 = 4*x - 12, -5*h - 3*x + 8*x = 0. Suppose 4*n**2 + 17 + 14*n - 11 - 10 - 14*n**h = 0. What is n?
-1, 2/7, 1
Let y(r) be the second derivative of -1/2*r**2 - 4*r + 3/40*r**5 - 1/4*r**3 + 0 + 1/12*r**4. Suppose y(j) = 0. What is j?
-1, -2/3, 1
Suppose 13*z = -13*z + 1404. Determine o so that 8*o**2 + 0 + z*o**5 - 57*o**4 - 19/3*o**3 + 4/3*o = 0.
-2/9, 0, 1/2, 1
Factor 3/2*v + 0 + 0*v**2 - 3/2*v**3.
-3*v*(v - 1)*(v + 1)/2
Let j(v) = v**2 + 6*v + 2. Let h be j(-6). Factor 0*a + a**5 + a - h*a**3 + 0*a**3.
a*(a - 1)**2*(a + 1)**2
Let k = -739 - -2224/3. Let 4/3 + 1/3*j**2 - k*j**5 - 16/3*j + 23/3*j**3 - 5/3*j**4 = 0. What is j?
-2, -1, 2/7, 1
Let h(x) be the third derivative of x**6/480 - x**5/240 - x**4/48 - 9*x**2. Factor h(d).
d*(d - 2)*(d + 1)/4
Let d(f) be the second derivative of f**8/3360 - f**7/560 + f**6/240 - f**5/240 - f**4/12 + 2*f. Let g(b) be the third derivative of d(b). Factor g(p).
(p - 1)**2*(4*p - 1)/2
Let x(m) be the first derivative of -m**6/30 + m**5/4 - 3*m**4/4 + 7*m**3/6 - m**2 - m + 1. Let v(t) be the first derivative of x(t). Factor v(j).
-(j - 2)*(j - 1)**3
Suppose -5 + 2 - 6*w - 6 + 3*w**2 = 0. Calculate w.
-1, 3
Let k = -1 + 3. Let n(q) be the first derivative of 2*q + 1/6*q**3 + 3 - q**k. Factor n(m).
(m - 2)**2/2
Let b = 103 - 513/5. Solve 0 - 2/5*l**2 - b*l = 0.
-1, 0
Let z(a) = -4*a**3 + 2*a**2 - 4*a + 5. Let j(l) = l - 2*l - 1 - l**3 + 2. Let s(r) = 10*j(r) - 2*z(r). Let s(f) = 0. What is f?
-1, 0
Let v(q) be the third derivative of -q**5/4 + 4*q**4 - 6*q**3 - 35*q**2. Let v(i) = 0. Calculate i.
2/5, 6
Let z(k) be the first derivative of 3/11*k**2 - 17/11*k**4 + 4/11*k - 8/11*k**3 - 1 - 12/11*k**5 - 3/11*k**6. Determine c, given that z(c) = 0.
-1, -2/3, 1/3
Let l(d) = 20*d**2 + 11*d + 29. Let z(v) = 7*v**2 + 4*v + 10. Let m(w) = 6*l(w) - 17*z(w). Let u(a) = a**2 - 2*a + 3. Let p(j) = -2*m(j) + 3*u(j). Factor p(n).
(n - 1)**2
Let n(v) be the second derivative of v**6/105 + 3*v**5/70 + v**4/21 - 22*v. Factor n(c).
2*c**2*(c + 1)*(c + 2)/7
Let a be (-27)/150*(-30)/36. Let w(y) be the first derivative of 3/25*y**5 + 0*y**2 + 1/15*y**3 + 0*y - 2 - a*y**4 - 1/30*y**6. Factor w(l).
-l**2*(l - 1)**3/5
Let a(z) be the first derivative of -z**4/20 + 4*z**3/5 - 24*z**2/5 + 64*z/5 - 4. Factor a(l).
-(l - 4)**3/5
Let u(o) = -10*o + 12*o + 0*o**3 - 5 + 4*o**2 - o**3. Let s be u(4). Let -3*b**s + 0*b**3 + 0*b**2 + 3*b**2 - 3*b**4 + 3*b**5 = 0. What is b?
-1, 0, 1
Suppose 0 = 5*r + 10, -a = 5*r - 5 + 14. Let o be 4 + 252/(-52) + a. Factor -4/13*k**2 + 4/13 - 2/13*k + o*k**3.
2*(k - 2)*(k - 1)*(k + 1)/13
Let p = 111 - 110. Let d(t) be the first derivative of -t**2 - 16/15*t**3 - 2/5*t + p - 2/5*t**4. Find u such that d(u) = 0.
-1, -1/2
Find f, given that -50*f**4 - 5*f**3 + 27*f**3 + 23*f**3 + 40*f**2 - 45*f + 10 = 0.
-1, 2/5, 1/2, 1
Let o = -42 + 44. Let k be ((-7)/105)/(o/(-18)). Find v, given that k*v - 1/5*v**2 - 2/5 = 0.
1, 2
Let g = 2 - -1. Suppose 0 = -3*n + z + 13, -2*n - 8 = -g*z - 26. Factor 0*k**4 - k**3 + 0*k**2 + 2*k**4 + k**2 + k**5 - n*k**4.
k**2*(k - 1)**2*(k + 1)
Let c = -5 + -5. Let u be (c - -13) + (-5)/2. Solve 0*z + 0 - 1/2*z**3 - u*z**2 = 0 for z.
-1, 0
Let y(k) be the third derivative of -k**8/1512 + 4*k**7/945 - k**6/90 + 2*k**5/135 - k**4/108 - 3*k**2. Factor y(j).
-2*j*(j - 1)**4/9
Let z be (-2)/30 + 5*(-8)/(-100). Determine x, given that 1/3 + x**2 - x - z*x**3 = 0.
1
Let u = -59 + 63. Let s(o) be the third derivative of -o**2 + 0 - 1/3*o**3 + 1/24*o**u + 1/60*o**5 + 0*o. Factor s(v).
(v - 1)*(v + 2)
Determine l so that 8*l**4 - 8*l**4 - l**3 - l**4 = 0.
-1, 0
Let v(z) be the first derivative of 2*z**5/5 - 3*z**4/2 + 2*z**3/3 + 3*z**2 - 4*z - 21. Factor v(k).
2*(k - 2)*(k - 1)**2*(k + 1)
Let h(z) be the first derivative of 2*z**3/3 - z**2 - 4*z + 11. Let h(o) = 0. Calculate o.
-1, 2
Determine k so that -2/7*k**2 - 4/7*k + 0 = 0.
-2, 0
Factor 0 - 2/9*l**2 - 2/3*l.
-2*l*(l + 3)/9
Let z(r) be the second derivative of r**7/840 + r**6/120 + r**4/6 + 2*r. Let g(b) be the third derivative of z(b). Solve g(v) = 0.
-2, 0
Let h(y) be the third derivative of y**8/168 + y**7/105 + 2*y**2. What is g in h(g) = 0?
-1, 0
Let t be (1/(-7))/(-29 - -28). Determine y so that t*y**3 - 2/7*y**4 + 0*y + 0 + 0*y**2 + 1/7*y**5 = 0.
0, 1
Let k(g) be the second derivative of 3*g**2 + 0 - 4*g + 1/2*g**3 - 3/4*g**4. Find x, given that k(x) = 0.
-2/3, 1
Let g(a) be the second derivative of a**7/840 - a**6/240 + 2*a**4/3 + a. Let x(k) be the third derivative of g(k). Factor x(r).
3*r*(r - 1)
Let u(z) be the first derivative of -1 + 0*z + 1/20*z**5 + 0*z**2 + 1/12*z**3 - 1/8*z**4. Factor u(m).
m**2*(m - 1)**2/4
Let b(g) be the first derivative of -1 - 1/8*g**2 + 1/12*g**3 + g - 1/48*g**4. Let a(u) be the first derivative of b(u). Solve a(v) = 0.
1
Let j(h) = h**3 + 6*h**2. Let m(b) = -5*b**3 - 25*b**2. Let n(y) = -18*j(y) - 4*m(y). Let n(q) = 0. Calculate q.
0, 4
Let k(p) = p**2 + p. Let z(m) = 4*m**2. Let l(h) = -6*k(h) + 2*z(h). Factor l(a).
2*a*(a - 3)
Let a(j) be the third derivative of -j**6/210 - j**5/35 + j**4/42 + 2*j**3/7 + j**2. Factor a(s).
-4*(s - 1)*(s + 1)*(s + 3)/7
Let v = 21 - 19. Suppose -1/2 - 1/2*k**v - k = 0. What is k?
-1
Solve 0 - 1/2*q**4 + 0*q - 1/2*q**2 + q**3 = 0 for q.
0, 1
Let a(d) be the third derivative of d**7/735 + d**6/140 + d**5/105 - 24*d**2. What is y in a(y) = 0?
-2, -1, 0
Let k(q) = q**2 + 12*q - 13. Let i be k(-10). Let r = i + 100/3. Determine d, given that -2/3 + r*d + 1/3*d**2 = 0.
-2, 1
Let z = 90 + -179/2. Let -z + 1/4*i**2 + 1/4*i = 0. What is i?
-2, 1
Let r = -2 - -3. Suppose 4 = 3*q + 1. Factor -s - q + s**3 + r.
s*(s - 1)*(s + 1)
Factor 240*r**2 - 440*r**3 + 128 + 50*r**4 + 356*r**2 + 532*r**2 - 704*r.
2*(r - 4)**2*(5*r - 2)**2
Let s(w) be the third derivative of 9*w**7/350 + 57*w**6/200 + 59*w**5/50 + 23*w**4/10 + 12*w**3/5 - 49*w**2. Let s(n) = 0. Calculate n.
-3, -2, -2/3
Factor 2/7*p**2 - 8/7*p + 8/7.
2*(p - 2)**2/7
Let n(b) be the third derivative of b**4/24 - b**3/2 + b**2. Let d be n(5). Solve -2*i - 2 + d*i**2 + i**2 - 3*i = 0 for i.
-1/3, 2
Let f(g) be the first derivative