.
-m*(m - 1)**2*(m + 1)/2
Let c be 0/(0 + 1)*-1. Let q(z) be the first derivative of 4/3*z**3 - 1 + c*z - 3/4*z**4 - 1/2*z**2. Find a such that q(a) = 0.
0, 1/3, 1
Suppose -7 = -4*p + 9. Let -2*z**2 + p*z + z**3 - 2*z**2 + 0*z**2 = 0. What is z?
0, 2
Let a = 59/85 - 5/17. Let v(p) be the first derivative of 2/15*p**3 + 1/10*p**4 - 2 - a*p - 1/5*p**2. Suppose v(j) = 0. What is j?
-1, 1
Factor 2*j**2 + 2*j**2 + 2*j - 4*j**2 - j**2.
-j*(j - 2)
Suppose 77*j - 72*j = 10. Factor 3/2 - 3/4*p**j - 3/4*p.
-3*(p - 1)*(p + 2)/4
Let w(g) be the second derivative of g**10/5040 + g**9/3780 - g**8/3360 + g**4/12 + 5*g. Let x(y) be the third derivative of w(y). Find l such that x(l) = 0.
-1, 0, 1/3
Let k be (-26)/(-78) - (-2)/12. Let r(h) be the first derivative of 1/2*h + 1/6*h**3 - k*h**2 - 1. Factor r(t).
(t - 1)**2/2
Let s(q) be the third derivative of -1/60*q**5 + 0*q - 1/3*q**3 - 2*q**2 + 0 - 1/8*q**4. Let s(l) = 0. What is l?
-2, -1
Suppose 0 = w + w - 6. Factor -2*r**4 - 2*r**3 + r + r - r**w - r.
-r*(r + 1)**2*(2*r - 1)
Let z be 12/(-8)*(-1)/6. Suppose -3*y = 3*k + 3 + 3, -5*k + 2 = 2*y. Factor -1 + u - z*u**k.
-(u - 2)**2/4
Let q(l) be the third derivative of 3*l**2 + 0*l**6 + 0*l**4 + 1/840*l**7 + 0*l + 0 + 0*l**3 - 1/240*l**5. Factor q(i).
i**2*(i - 1)*(i + 1)/4
Let c(r) = -12*r**3. Let w be c(-1). Find p such that -8*p**2 - w*p**3 - 2*p**5 - 2*p - 5*p**4 + 2*p**4 - 5*p**4 = 0.
-1, 0
Let a(z) = -z**2 - 5*z + 6. Let k be a(-7). Let g be (1/4)/((-7)/k). Let g*f - 2/7*f**2 + 2/7 - 2/7*f**3 = 0. Calculate f.
-1, 1
Factor 1/2*z**2 + 1/4*z**3 + 1/4*z + 0.
z*(z + 1)**2/4
Let p(m) = m**5 + 4*m**2 - m. Let s(o) = 5*o**5 + o**4 + 17*o**2 - 5*o. Let w(c) = -2*c + 12. Let l be w(8). Let d(q) = l*s(q) + 18*p(q). What is y in d(y) = 0?
-1, 0, 1
Suppose -2*w + 5*w = -33. Let q = -8 - w. Let 0*a**3 + 3*a**q + 3*a**2 + 0*a**3 = 0. What is a?
-1, 0
Let a(m) be the third derivative of 0*m**4 + 0 + 2/9*m**3 + 0*m + 2*m**2 - 1/360*m**6 - 1/60*m**5. Factor a(i).
-(i - 1)*(i + 2)**2/3
Let x(f) be the third derivative of f**7/2520 - f**6/720 - f**5/60 + 5*f**4/12 - 3*f**2. Let a(u) be the second derivative of x(u). Find h such that a(h) = 0.
-1, 2
Let q(u) = u**3 - 5*u**2 + 5*u - 2. Let d be q(4). Let j be ((-1)/d)/((-3)/366). Factor -189*g**5 - 300*g**4 - 59*g**3 - 16*g**2 - j*g**3 - 61*g**5.
-2*g**2*(5*g + 2)**3
Let o(q) = -q**2 + 3*q + 3. Let s(m) = -4*m - 1. Let y be s(-1). Let b be o(y). Let 2*x**2 + b*x + 2*x - 7*x = 0. What is x?
0, 1
Factor -7*l**2 + l**2 - 6*l + 3*l**4 - 3*l**2.
3*l*(l - 2)*(l + 1)**2
Let u(s) be the first derivative of -5*s**6/3 + 6*s**5/5 + 17*s**4/2 + 2*s**3/3 - 12*s**2 - 8*s - 3. Solve u(a) = 0.
-1, -2/5, 1, 2
Let w(o) be the first derivative of o**7/70 + o**6/40 - o**5/20 - o**4/8 - o**2/2 + 3. Let j(z) be the second derivative of w(z). Determine h so that j(h) = 0.
-1, 0, 1
Let r(w) be the third derivative of -w**7/945 - w**6/270 + w**5/270 + w**4/54 - w**2. Factor r(x).
-2*x*(x - 1)*(x + 1)*(x + 2)/9
Suppose w - 16 = -w. Factor -b**2 + w + 3*b**2 + 2*b**2 + 8*b - 2*b**2.
2*(b + 2)**2
Let g(h) be the first derivative of -5*h**3/3 + 5*h**2/2 + 10*h - 14. Suppose g(o) = 0. What is o?
-1, 2
Let b(g) be the second derivative of g**4/48 + g**3/12 + g**2/8 + 32*g. Let b(t) = 0. What is t?
-1
Find s, given that 0*s + 26/17*s**3 - 12/17*s**2 + 0 - 10/17*s**4 = 0.
0, 3/5, 2
Let z(l) be the first derivative of 1/6*l**3 + 0*l - 1/4*l**2 - 3. Factor z(c).
c*(c - 1)/2
Let h(i) be the second derivative of i**6/135 - i**5/18 + i**4/18 + i**3/3 + 9*i. Factor h(m).
2*m*(m - 3)**2*(m + 1)/9
Let o(b) be the first derivative of -b**9/1890 + b**8/1400 + b**7/2100 - 7*b**3/3 - 2. Let u(t) be the third derivative of o(t). Factor u(v).
-2*v**3*(v - 1)*(4*v + 1)/5
Let w(x) be the first derivative of -4 - x**2 + 2/3*x**3 - 1/6*x**4 + 2/3*x. What is t in w(t) = 0?
1
Suppose 3*s = -4 + 13. Let n = 1/2180 + 5041/545. Factor 15/2*i**4 + 9/4*i**5 + i + n*i**s + 0 + 5*i**2.
i*(i + 1)**2*(3*i + 2)**2/4
Find h, given that 2/9 + 2/9*h**2 - 4/9*h = 0.
1
Let y be -5 + (-24)/(-10) + 3. Suppose -8/5 - y*l**2 + 8/5*l = 0. What is l?
2
Suppose 1/4*o**5 + 0 - o**4 + o**3 + 0*o**2 + 0*o = 0. Calculate o.
0, 2
Let c(x) be the second derivative of 4*x**7/441 + 11*x**6/105 + 16*x**5/35 + 59*x**4/63 + 20*x**3/21 + 3*x**2/7 - 34*x. Determine q, given that c(q) = 0.
-3, -1, -1/4
Suppose -2*f = 3*w + f - 21, -3*f = w - 9. Let a(n) = -n**5 - 1. Let l(s) = -7*s**5 + s**3 - 6. Let r(p) = w*a(p) - l(p). Determine q, given that r(q) = 0.
-1, 0, 1
Let t(w) be the first derivative of -1 + 0*w - 2/15*w**3 - 1/5*w**2. Factor t(n).
-2*n*(n + 1)/5
Let v = -17783/154 - 2177/22. Let c = v - -215. Factor 0 - c*q**2 - 2/7*q - 2/7*q**3.
-2*q*(q + 1)**2/7
Let q be (6/4)/(3/4). Let w be ((-2)/3)/((-21)/126). Solve w - a - a + 6*a + a**q = 0 for a.
-2
Let c be (-150)/(-105) + (-4)/42. Determine z, given that -5/3*z**2 - 8/3*z - c - 1/3*z**3 = 0.
-2, -1
Let o(f) be the first derivative of -1/3*f**6 + f**2 + 4/5*f**5 - 4 + 0*f - 4/3*f**3 + 0*f**4. Factor o(p).
-2*p*(p - 1)**3*(p + 1)
Let j(s) be the third derivative of 4/3*s**3 + 0*s + 1/30*s**5 + 5/6*s**4 - 3/70*s**7 + 0 - 3*s**2 - 7/40*s**6. What is q in j(q) = 0?
-2, -2/3, 1
Let a(k) be the second derivative of -k**6/48 - 13*k**5/160 - 3*k**4/32 + k**3/48 + k**2/8 - 9*k. Suppose a(y) = 0. Calculate y.
-1, 2/5
Let c(j) = -4*j**4 - 8*j**3 + 31*j**2 - 19*j. Let d(x) = -3*x**4 - 9*x**3 + 30*x**2 - 18*x. Let m(t) = 6*c(t) - 7*d(t). Determine y so that m(y) = 0.
0, 1, 2
Let n be (-6)/(-4) - 16/(-32). Factor 0 + 15/4*z**4 + 9*z**3 + 3/2*z + 27/4*z**n.
3*z*(z + 1)**2*(5*z + 2)/4
Let o(v) be the third derivative of v**6/200 + v**5/20 - 30*v**2. Factor o(u).
3*u**2*(u + 5)/5
Let q(d) be the third derivative of 0*d**4 + 0 + 1/75*d**5 + 0*d + 0*d**3 - 3*d**2 + 1/300*d**6. Solve q(l) = 0.
-2, 0
Let p be 0 - (12/270)/(3/(-15)). Factor 2/9 - p*b - 2/9*b**2 + 2/9*b**3.
2*(b - 1)**2*(b + 1)/9
Suppose -56/3*s + 20/3 - 16/3*s**3 - 92/3*s**2 = 0. What is s?
-5, -1, 1/4
Suppose -3*t - 8 - 1 = 0, 4*r + t = -3. Let b(h) = -h + 1. Let o be b(r). Let 6*z**2 + 4*z**3 - 6*z**3 + 1 - 6*z + o = 0. Calculate z.
1
Suppose -4*c - 2 = -2*y, 0 = 2*c - 10*y + 13*y - 19. Factor 2/9*w - 4/9 + 2/9*w**c.
2*(w - 1)*(w + 2)/9
Let r = -5 - -11. Factor r*p - p**4 - p**3 - p - 5*p.
-p**3*(p + 1)
Let x(q) be the second derivative of q**9/3024 - q**8/840 + q**6/180 - q**5/120 + 2*q**3/3 - 2*q. Let g(l) be the second derivative of x(l). Solve g(c) = 0.
-1, 0, 1
Let f be 56/10 + 21/(-35) + 0. Find y, given that -3/2*y**2 + 0 - 3/2*y**f + 0*y + 3/2*y**4 + 3/2*y**3 = 0.
-1, 0, 1
Let k(v) be the first derivative of v**6/9 - v**4/6 + 4. Determine a, given that k(a) = 0.
-1, 0, 1
Let u = 492 + -489. Determine i so that 5/2*i**2 + 8*i + 2 - 7/2*i**u = 0.
-1, -2/7, 2
Let w(z) be the third derivative of -z**6/120 + z**5/24 - z**4/12 + z**3/3 + 4*z**2. Let v(d) be the first derivative of w(d). Solve v(s) = 0 for s.
2/3, 1
Let s(p) be the third derivative of -1/18*p**4 + 0*p - 1/90*p**5 + 0 + 1/90*p**6 + 1/9*p**3 - 2*p**2. Factor s(j).
2*(j - 1)*(j + 1)*(2*j - 1)/3
Suppose -4*l + 2 = 5*n, -n = -6*n - 5*l. Suppose 2/15*s**4 + 0*s - 2/15*s**n + 0 + 0*s**3 = 0. What is s?
-1, 0, 1
Factor 9 - 6*a**3 + 6*a - 9 - 3*a**2 + 7*a**4 - 4*a**4.
3*a*(a - 2)*(a - 1)*(a + 1)
Factor -1/4*m**2 - 1/4 + 1/2*m.
-(m - 1)**2/4
Let j(r) be the first derivative of r**6/40 - 3*r**5/80 - r**4/8 - 3*r - 4. Let v(c) be the first derivative of j(c). Factor v(z).
3*z**2*(z - 2)*(z + 1)/4
Suppose 10 = -3*l + 6*l + u, u = 1. Factor 3/2*w - 3/2*w**l + 0 + 0*w**2.
-3*w*(w - 1)*(w + 1)/2
Let m(s) be the third derivative of -s**7/840 + s**5/240 + 8*s**2. Factor m(y).
-y**2*(y - 1)*(y + 1)/4
Let z(n) = 2*n - 2 + n - n + 2*n**2. Let g be z(-2). Determine p so that -2*p**2 + 7*p - 3*p - 4 + g*p = 0.
1, 2
Let b be -1 - 0 - 12/(-10). Suppose -y - 3*h = 2*y + 15, -5*y + h + 5 = 0. Factor -b*z**2 + y + 1/5*z.
-z*(z - 1)/5
Suppose 3*o = -2*o. Let l(g) = g**3 - 3*g**2 - 5*g + 6. Let b be l(4). Factor 0*v**b - 2*v**4 + 2*v**3 + o*v**2.
-2*v**3*(v - 1)
Let h be (-2)/(-7)*(-14)/(-6). Determine o so that h*o**5 + 2/3*o**2 + 0 - 2/3*o**3 - 2/3*o**4 + 0*o = 0.
-1, 0, 1
Let m(t) be the first derivative of 2*t**3/27 + 2*t**2/9 + 2*t/9 - 4. Suppose m(p) = 0. Wh