tor c(p).
-4*(p - 3)**2*(p - 1)
Let u = 14 + -12. Suppose -j = -4*g - 12, 0*j + u*g = 4*j - 20. Factor 0*h**3 - 2/7*h**5 + 0 + 4/7*h**j - 4/7*h**2 + 2/7*h.
-2*h*(h - 1)**3*(h + 1)/7
Let h(g) be the first derivative of -2*g**4/5 - 14*g**3/15 + 2*g**2/5 + 5. What is j in h(j) = 0?
-2, 0, 1/4
Let g = -162 - -164. Let w(h) be the second derivative of 0 + 0*h**3 - 1/12*h**4 + 0*h**2 + g*h - 1/40*h**5. Factor w(m).
-m**2*(m + 2)/2
Let j be (-5)/(-5) - -3*1. Let v(r) be the third derivative of -1/60*r**6 - 1/30*r**5 + 0*r + 0 + 1/168*r**8 + 1/105*r**7 + 0*r**3 + 0*r**j + r**2. Factor v(n).
2*n**2*(n - 1)*(n + 1)**2
Let t be 3387/5964 - (2 - 2). Let l = t - -1/284. Determine g, given that 2/7*g**5 - 2/7 - l*g**3 + 2/7*g + 4/7*g**2 - 2/7*g**4 = 0.
-1, 1
Let x(z) be the first derivative of z**8/420 + z**7/840 - 4*z**3/3 - 3. Let b(t) be the third derivative of x(t). Solve b(g) = 0 for g.
-1/4, 0
Let k be 12/(-150)*5/(0 - 1). Let -k + 8/5*f - 6/5*f**2 = 0. What is f?
1/3, 1
Let o(f) be the third derivative of 0 + 1/90*f**5 + 0*f + 1/72*f**4 + 2*f**2 + 0*f**3 + 1/360*f**6. Solve o(x) = 0 for x.
-1, 0
Let f be 6/12 + (-6)/(-4). Let o(v) be the second derivative of -3/16*v**4 - f*v + 0*v**2 + 1/12*v**3 + 0 + 7/80*v**5. Solve o(x) = 0 for x.
0, 2/7, 1
Let o = 3748/9 - 416. Let o*z**2 - 2/9*z - 2/9*z**3 + 0 = 0. What is z?
0, 1
Determine v so that -18562 - 25*v + 5*v**3 + 18562 + 20*v**2 = 0.
-5, 0, 1
Let j be 446/(-480) + 8 + -7. Let y(r) be the third derivative of -j*r**5 - r**2 + 0*r + 0 - 1/12*r**3 - 13/96*r**4 + 1/40*r**6. Let y(c) = 0. Calculate c.
-1/3, -1/4, 2
Suppose 2*v + 4 = -2*m - 2*m, -4*v = m + 1. Let n(y) be the third derivative of 0*y**3 + 1/90*y**5 + 1/36*y**4 - 2*y**2 + 0 + v*y. Find f, given that n(f) = 0.
-1, 0
Let d = -407 - -407. Factor d - 2/9*u**3 + 0*u + 0*u**2.
-2*u**3/9
Let g(i) = i**3 + 4*i**2 + 2. Let t be g(-4). Let p be (3 - 1)*(-1)/(-6). Find c such that -p*c**t + 1/3*c**3 + 1/3 - 1/3*c = 0.
-1, 1
Let g(r) be the second derivative of -r**8/2240 - r**7/672 - r**6/720 + r**3/6 + 3*r. Let z(a) be the second derivative of g(a). Factor z(m).
-m**2*(m + 1)*(3*m + 2)/4
Let h(u) be the third derivative of u**6/420 - u**5/210 - u**4/42 - 14*u**2. Factor h(y).
2*y*(y - 2)*(y + 1)/7
Let w be 24/33 - -2 - 2. Let -30/11*r**4 + w*r - 2*r**3 + 0 + 16/11*r**2 = 0. Calculate r.
-1, -2/5, 0, 2/3
Let z be 10 + (3 - 0/1). Let 2*j + j**5 - 6*j**2 - 17*j**4 - z*j**3 + 13*j**5 - 3*j - 2 + 25*j**2 = 0. What is j?
-1, -2/7, 1/2, 1
Let a(i) be the second derivative of -i**4/60 + i**3/6 + 3*i**2/5 + 2*i + 18. Factor a(d).
-(d - 6)*(d + 1)/5
Let u(h) be the second derivative of 2*h**7/147 - 2*h**6/105 - 6*h**5/35 + 2*h**4/3 - 22*h**3/21 + 6*h**2/7 + 15*h + 3. Suppose u(s) = 0. What is s?
-3, 1
Let v(p) be the second derivative of p**5/20 - p**4/3 + p**3/6 + 3*p**2 - 21*p. Factor v(y).
(y - 3)*(y - 2)*(y + 1)
Suppose -9/7*q + 5/7*q**2 - 2/7 = 0. Calculate q.
-1/5, 2
Let r(i) be the second derivative of i**5/120 + i**4/9 + 7*i**3/12 + 3*i**2/2 + i. Factor r(u).
(u + 2)*(u + 3)**2/6
Let l(r) be the first derivative of r**6/4 + 3*r**5/10 - 3*r**4/4 - r**3 + 3*r**2/4 + 3*r/2 - 6. Find i, given that l(i) = 0.
-1, 1
Solve -96*p**5 - 24*p - 16*p**2 + 16*p**4 + 8*p + 12*p**3 + 100*p**5 = 0.
-2, -1, 0, 1
Let t = -1957/15 - -392/3. Factor 0*o - t*o**3 + 1/5*o**2 + 0.
-o**2*(o - 1)/5
Let f(l) be the third derivative of -l**6/30 + 7*l**5/40 + l**4/4 - 7*l**3/6 + 7*l**2. Let k(c) be the first derivative of f(c). Factor k(z).
-3*(z - 2)*(4*z + 1)
Suppose 4*a + 60 = a. Let x be (-17)/a - (-9)/(-15). Let 0*s**4 + 0 + 1/4*s**3 + 0*s**2 - x*s**5 + 0*s = 0. Calculate s.
-1, 0, 1
Let z(m) be the third derivative of 0*m + 1/24*m**4 + 0 - 1/120*m**6 - 1/12*m**3 + 0*m**5 + 1/420*m**7 + 3*m**2. Suppose z(k) = 0. Calculate k.
-1, 1
Let m(t) be the first derivative of -2*t**3/15 - 3*t**2/5 + 8*t/5 - 12. Find p, given that m(p) = 0.
-4, 1
Let i(c) be the second derivative of c**7/84 - c**6/60 - c**5/40 + c**4/24 - 10*c. What is w in i(w) = 0?
-1, 0, 1
Suppose 0 = -y - 4*n + 6, -2*y + 2 + 4 = 2*n. Factor -2*h**y + 3*h**5 + 3*h**4 + h**3 - 4*h**3 - h**2.
3*h**2*(h - 1)*(h + 1)**2
Let a(h) = h + 1. Let y(l) = l**2 + 8*l + 7. Let j(d) = -20*a(d) + 5*y(d). Factor j(g).
5*(g + 1)*(g + 3)
Suppose 0*t = -4*q - 3*t + 15, 0 = t - 1. Suppose 7*m - 4*m - 3 = 0. Factor 14*n**2 - q - m + 10*n + 0.
2*(n + 1)*(7*n - 2)
Let n(f) be the second derivative of -f**5/390 + f**4/78 + f**3/13 - 2*f**2 + 2*f. Let u(w) be the first derivative of n(w). Factor u(k).
-2*(k - 3)*(k + 1)/13
Let j(o) be the second derivative of -o**8/448 + o**7/420 + o**6/480 + o**2/2 - 2*o. Let u(p) be the first derivative of j(p). Factor u(s).
-s**3*(s - 1)*(3*s + 1)/4
Let u(h) be the first derivative of -1/3*h**6 - 2 + 0*h**2 - 3/2*h**4 + 0*h - 6/5*h**5 - 2/3*h**3. Factor u(i).
-2*i**2*(i + 1)**3
Factor 2*q**2 - 24*q + 30*q + 0*q**2 - 8 + 0*q**2.
2*(q - 1)*(q + 4)
Let d(p) be the third derivative of -7*p**5/60 + p**4/12 + 15*p**2. Let d(t) = 0. Calculate t.
0, 2/7
Let b be (-17)/(-102) + -1 + 134/132. Factor 0*p**2 - 2/11*p**3 + 0*p + 0 - b*p**4.
-2*p**3*(p + 1)/11
Let d = 13 + -9. Factor 7 + 1 - m - d*m**4 + 9*m - 8*m**3 - 4.
-4*(m - 1)*(m + 1)**3
Determine v so that 4*v**2 + 3*v**5 - 9*v**3 + 3*v**4 + 2*v - 11*v**2 + 4*v + 4*v**2 = 0.
-2, -1, 0, 1
Let i(q) = -10*q**3 + 35*q**2 - 5. Let d(w) = -9*w**3 + 34*w**2 - 4. Let h(a) = -5*d(a) + 4*i(a). Factor h(o).
5*o**2*(o - 6)
Let w(x) be the third derivative of -x**9/362880 + x**7/30240 - 7*x**5/60 - 2*x**2. Let h(o) be the third derivative of w(o). Find b such that h(b) = 0.
-1, 0, 1
Suppose 5*m + 6*m - 7*m + 8*m**2 + 4*m**3 + 0*m = 0. Calculate m.
-1, 0
Suppose 3*d = 0, j + 0*j - 3 = 5*d. Let m(u) be the third derivative of 0*u**6 + 0 + 0*u + 3*u**2 + 0*u**j + 0*u**5 + 0*u**4 + 1/630*u**7. Solve m(b) = 0.
0
Let f(b) be the third derivative of 1/180*b**6 + 1/12*b**4 + 1/30*b**5 + 0 + 1/3*b**3 - 2*b**2 + 0*b. Let q(v) be the first derivative of f(v). Factor q(a).
2*(a + 1)**2
Let t(r) be the third derivative of r**6/420 + r**5/105 + 3*r**2. What is i in t(i) = 0?
-2, 0
Let c(a) = 7*a**2 + a. Let p(l) = 0*l - 5*l**2 - 9*l**2 + 4*l**2 - l. Suppose 0 = -3*g + 2*g - 5. Let w(v) = g*p(v) - 7*c(v). Factor w(u).
u*(u - 2)
Suppose 3*w = -2*w. Let l(q) be the third derivative of 0 - 1/12*q**4 - 2*q**2 - 1/30*q**5 + 0*q**3 + w*q. Factor l(m).
-2*m*(m + 1)
Find j such that 15*j**4 - 7*j**2 + 2*j**5 - j**2 - 9*j**4 = 0.
-2, 0, 1
Let y(f) be the third derivative of 0 + 7*f**2 + 0*f**3 - 2/105*f**7 - 1/10*f**6 + 0*f + 0*f**4 - 2/15*f**5. Factor y(w).
-4*w**2*(w + 1)*(w + 2)
Let i(k) be the first derivative of k**4/3 + 2*k**3/3 - k**2 - 4*k/3 - 9. Factor i(r).
2*(r - 1)*(r + 2)*(2*r + 1)/3
Let q(p) = -5*p**2 - 7*p + 1. Let i(s) = 9*s**2 + 13*s - 1. Let y(l) = 3*i(l) + 5*q(l). Suppose y(f) = 0. Calculate f.
-1
Let g = 4/423 - -278/423. Factor g*i**2 + 8/3 + 10/3*i.
2*(i + 1)*(i + 4)/3
Factor -1/3*o**3 - 16/3 + 22/3*o - 5/3*o**2.
-(o - 2)*(o - 1)*(o + 8)/3
Let w(z) be the third derivative of z**6/320 + z**5/80 + z**4/64 + 3*z**2. Determine d so that w(d) = 0.
-1, 0
Let s(a) be the third derivative of 0*a + 1/105*a**7 + 0 - 1/15*a**6 + 1/3*a**3 - 7*a**2 - 1/3*a**4 + 1/5*a**5. Let s(w) = 0. Calculate w.
1
Let f be 260/70 + (-2)/(-7). Suppose -3*t + 0 = -6. Let f*o + 2*o**t + 1/3*o**3 + 8/3 = 0. Calculate o.
-2
Let q = -105 + 108. Let o be (3/10)/(12/32). Find l, given that 0 - 2*l**2 - 8/5*l**q - 2/5*l**4 - o*l = 0.
-2, -1, 0
Let d(c) = 2*c - 42. Let j be d(23). Factor 2/9*x**j + 2/9*x**5 + 0*x - 2/9*x**3 + 0 - 2/9*x**2.
2*x**2*(x - 1)*(x + 1)**2/9
Factor -1/4 - 5/8*h - 1/4*h**2.
-(h + 2)*(2*h + 1)/8
Factor -2*m - m**3 - 4*m + m**3 + 9*m**2 - 3*m**3.
-3*m*(m - 2)*(m - 1)
Let m(u) be the third derivative of u**8/3360 + u**7/630 - u**6/360 - u**5/30 + u**4/24 + 2*u**2. Let k(b) be the second derivative of m(b). Factor k(c).
2*(c - 1)*(c + 1)*(c + 2)
Let k(h) be the third derivative of 0*h**3 - 7*h**2 + 0*h + 0 + 1/6*h**4 - 1/15*h**5. Suppose k(r) = 0. What is r?
0, 1
Factor 3*t**3 + 0*t**3 - 15*t**2 - 10*t - 8*t**3.
-5*t*(t + 1)*(t + 2)
Let p = 4/205 - -607/410. Suppose 3/4 - p*b + 3/4*b**2 = 0. Calculate b.
1
Let y(w) be the second derivative of 2*w**7/21 + 4*w**6/5 + 9*w**5/5 + 4*w**4/3 + 15*w.