4/5*n + p*n**2 = 0.
-2/7, 0, 1
Suppose -3 = x - 2*k, -k = -3*x + 2*k - 3. Let h be 544/112 + (-3 - x). Factor -h*z + 2/7*z**2 + 4/7.
2*(z - 2)*(z - 1)/7
Let x = -13 - -16. Suppose x*r - 4*i - 16 = 0, -i - 4 = -4*r - 0. Factor r*w + 2/3*w**2 + 0.
2*w**2/3
Let a(q) be the third derivative of -q**8/3528 + q**7/315 - q**6/84 + q**5/70 + 19*q**2. Solve a(p) = 0.
0, 1, 3
Let j(p) be the third derivative of -p**6/220 - 3*p**5/22 - 75*p**4/44 - 125*p**3/11 - 14*p**2. Factor j(g).
-6*(g + 5)**3/11
Let h = -267959/210 - -1276. Let m(q) be the third derivative of 0*q**3 + 0 - 1/420*q**6 + 2*q**2 - h*q**5 + 0*q + 1/84*q**4 + 1/735*q**7. Factor m(n).
2*n*(n - 1)**2*(n + 1)/7
Let n(l) = 17*l**4 + 15*l**3 - 31*l**2 - 15*l + 6. Let z(b) = b**4 + b**2. Let q(c) = n(c) + 4*z(c). Factor q(p).
3*(p - 1)*(p + 1)**2*(7*p - 2)
Let o(w) be the third derivative of -3/8*w**4 - 1/70*w**7 + 3/40*w**6 + 4*w**2 - 1/20*w**5 + 0*w + 0 + w**3. What is x in o(x) = 0?
-1, 1, 2
Let k = 476/5 + -95. Factor -2/5 - 1/5*u + k*u**2.
(u - 2)*(u + 1)/5
Let t = -32 + 17. Let c be (12/t)/(2/(-5)). Find q such that -4*q**4 - 5*q + 3*q**c + 3 - 2 + 5*q**3 + 0*q**2 = 0.
-1, 1/4, 1
Let w(g) be the first derivative of g**5 - 5*g**4/2 - 5*g**3 + 10*g**2 + 20*g + 5. Factor w(b).
5*(b - 2)**2*(b + 1)**2
Let r be ((-38)/4 - -1)*4. Let w = -101/3 - r. Factor 0*h**2 - 1/3*h**3 + 0 + w*h**4 + 0*h.
h**3*(h - 1)/3
Let -45*i - 675/2 - 3/2*i**2 = 0. What is i?
-15
Let r(c) be the first derivative of -c**6/40 + c**5/5 - 5*c**4/8 + c**3 - 7*c**2/2 - 6. Let q(d) be the second derivative of r(d). Factor q(m).
-3*(m - 2)*(m - 1)**2
Let -3*w**2 - w + 4*w**2 + 2 + w**3 - 4*w**2 + w**4 = 0. What is w?
-2, -1, 1
Factor -10 + 46*d**2 + 20*d**3 + 23*d**4 - 25*d - 56*d**2 - 3*d**4 + 5*d**5 + 0.
5*(d - 1)*(d + 1)**3*(d + 2)
Let h(s) = s**3 - 11*s**2 - 12*s + 3. Let w(v) = 12*v**2 + 12*v - 4. Let y(b) = 4*h(b) + 3*w(b). Factor y(k).
4*k*(k - 3)*(k + 1)
Let h(r) = -r. Let g(f) = 4*f**2 - 3*f. Suppose -3*j = -3*y + 42, -3*y + j + 42 - 10 = 0. Let t = y + -4. Let p(s) = t*h(s) - g(s). Factor p(d).
-2*d*(2*d + 1)
Let o(m) be the first derivative of -2*m**6/3 + 12*m**5/5 - 2*m**4 - 8*m**3/3 + 6*m**2 - 4*m - 1. Solve o(a) = 0.
-1, 1
Let t(b) = -b + 1. Let z(k) = -k**2 - 2*k + 2. Suppose 0 = 3*g - 2*i - 15 + 1, -3*g - 4*i = 10. Let f be (-2 - 0) + g*2. Let l(n) = f*t(n) - z(n). Factor l(o).
o**2
Let t(d) = -d - 5. Let q be t(-8). Let j(r) = -r**2 + r - 1. Let v(i) = 18*i**3 + 21*i**2 + 11*i - 3. Let h(f) = q*j(f) - v(f). Solve h(b) = 0 for b.
-2/3, 0
Solve -6/13*n + 6/13*n**3 + 2/13*n**2 + 0 - 2/13*n**4 = 0.
-1, 0, 1, 3
Let s(f) = -6*f**2 + 26*f - 38. Let q(c) = -13*c**2 + 53*c - 77. Let b(o) = -2*q(o) + 5*s(o). Let b(m) = 0. What is m?
3
Let m = 251 - 743/3. Factor 1/3*d**4 + 4*d**2 + 1 + m*d + 2*d**3.
(d + 1)**3*(d + 3)/3
Let i(p) be the first derivative of 3*p**5/5 - 3*p**4/2 + 3*p**2 - 3*p + 5. Factor i(a).
3*(a - 1)**3*(a + 1)
Find j, given that -5*j**3 - 12*j**2 + 5*j**3 + 2*j**3 + 2*j**4 + 10 - 8*j + 6*j**3 = 0.
-5, -1, 1
Let l(g) = -4*g**4 - 2*g**3 - 2*g**2 - 2*g - 2. Let b(n) = -n**5 + 3*n**4 + n**3 + 3*n**2 + 3*n + 3. Let p(v) = 2*b(v) + 3*l(v). Factor p(u).
-2*u**3*(u + 1)*(u + 2)
Let k(z) = z**4 - z**3 + 1. Let t(w) = -2*w**4 + 8*w**3 - 18*w**2 + 20*w - 9. Let i be (-12)/(-21)*14/4. Let m(v) = i*t(v) + 2*k(v). Let m(d) = 0. Calculate d.
1, 2
Solve 22*m + 15*m**2 - 41*m - 6*m**3 + 13*m - 24 + 3*m**3 = 0.
-1, 2, 4
Let k(i) = i**3 + i**2 + i. Let c(t) = -8*t**3 + 7*t**2 + 2*t - 10. Let u(m) = -c(m) - 3*k(m). Factor u(v).
5*(v - 2)*(v - 1)*(v + 1)
Let y be 2 + -1 - 6/10. Let m be (-10)/60 - 34/(-60). Factor -m*g + 0 - y*g**2.
-2*g*(g + 1)/5
Let d(f) be the third derivative of -13/360*f**6 - 2/315*f**7 - 1/12*f**5 + 0 - 7/72*f**4 + 0*f - 3*f**2 - 1/18*f**3. Factor d(n).
-(n + 1)**3*(4*n + 1)/3
Let p(d) be the third derivative of -2/105*d**7 + 1/30*d**5 + 5/24*d**4 + 1/3*d**3 + 0*d + 0 - 1/336*d**8 - 1/30*d**6 + d**2. Factor p(h).
-(h - 1)*(h + 1)**3*(h + 2)
Suppose 0 = g - i + 2, 0 = -3*i - 0*i + 15. Let a(r) = -4*r - 8. Let y be a(-3). Let 2*l**5 - 10*l**y + 0*l**2 + 6*l**g + 4*l**4 - 2*l**2 = 0. Calculate l.
0, 1
Factor 48*y**2 - 53*y + y**4 - 4*y**4 + 32 + 117*y + 16*y**3 + 5*y**4.
2*(y + 2)**4
Let k(j) be the first derivative of j**4/42 - j - 3. Let y(m) be the first derivative of k(m). Let y(w) = 0. Calculate w.
0
Suppose -3*l + 7 + 5 = 0. Suppose o + 9 = l*o. Factor 2*k**4 - 1 + 4*k**o - 2*k**4 + k - 6*k**2 + 3*k - k**4.
-(k - 1)**4
Let d(z) be the second derivative of -z + 7/15*z**6 + 0 + 1/2*z**4 + 0*z**2 - 6/5*z**5 + 2/3*z**3. Factor d(q).
2*q*(q - 1)**2*(7*q + 2)
Let z(i) = -i + 1. Let x be z(-4). Suppose -f - 23 = -5*t - 0*f, 17 = x*t - 4*f. Factor -2*v**3 + 2 + t - 5 + 2*v - 2*v**2.
-2*(v - 1)*(v + 1)**2
Let f(r) be the first derivative of r**5 + 15*r**4/2 + 65*r**3/3 + 30*r**2 + 20*r + 11. Solve f(i) = 0 for i.
-2, -1
Let w(n) = -7*n**3 - n**2 - 7*n + 3. Let u(f) = -6*f**3 - 7*f + 3. Let i(g) = -6*u(g) + 5*w(g). Factor i(y).
(y - 3)*(y - 1)**2
Let v be 2*((-5)/(-2) - 1). Find b such that -b**2 + v*b - 2*b**2 + 0*b + 0*b = 0.
0, 1
Let i = 2/5 + -7/30. Let v(k) be the second derivative of -1/20*k**5 + 0 + 0*k**2 + i*k**3 + k + 0*k**4. Factor v(q).
-q*(q - 1)*(q + 1)
Let a be ((-4)/10*-1)/((-7)/(-5)). Let s = -2 - -5. Find k such that -a*k**2 + 2/7 - 2/7*k**s + 2/7*k = 0.
-1, 1
Suppose -26*k = -28*k + 6. Let d(x) be the third derivative of 0*x**k + 0 + 0*x**4 + 0*x + 1/840*x**7 - 1/480*x**6 + 0*x**5 - 2*x**2. Find y such that d(y) = 0.
0, 1
Let s(g) be the third derivative of g**5/15 - g**2. Factor s(u).
4*u**2
Let k(x) be the second derivative of 77*x**4/24 + 47*x**3/12 + 3*x**2/2 + 29*x. Factor k(c).
(7*c + 3)*(11*c + 2)/2
Suppose -6 = -5*n - 21. Let a be n*(0 + 1) + 5. Factor 3*c**3 - 6*c**a + 4 + 3*c**4 - 4.
3*c**2*(c - 1)*(c + 2)
Let v(s) be the second derivative of 0 + 0*s**2 + 1/15*s**3 + 4*s + 1/30*s**4. Suppose v(g) = 0. Calculate g.
-1, 0
Let z(y) = -y**2 + 9*y - 10. Let n be z(7). Suppose 0*s - 10 = -5*w + 3*s, -n*s - 10 = -5*w. Suppose 1/3*g**w + 4/3 - 4/3*g = 0. What is g?
2
Let z(y) = -y - 1. Let j be z(-4). Suppose -3*b**2 - 5*b**j + 3*b**4 + 2*b**3 + b**3 + 2*b**2 = 0. Calculate b.
-1/3, 0, 1
Let f(a) be the second derivative of -a**7/945 + a**5/135 - a**3/27 + a**2/2 + 2*a. Let u(b) be the first derivative of f(b). Factor u(r).
-2*(r - 1)**2*(r + 1)**2/9
Solve 2/3*h**4 + 0 - 2/3*h**3 + 0*h**2 + 0*h = 0 for h.
0, 1
Let d(w) be the third derivative of -1/210*w**7 + 1/60*w**5 + 0*w + 0*w**3 - 1/120*w**6 + 0 + 1/24*w**4 + 3*w**2. Factor d(x).
-x*(x - 1)*(x + 1)**2
Find s, given that -132*s**5 - 436*s**3 - 64*s**5 - 205*s**2 - 16*s - 504*s**4 + 61*s**2 = 0.
-1, -2/7, 0
Let u(o) be the second derivative of -o**8/2240 - o**7/840 + o**6/120 - o**4/6 - 5*o. Let m(j) be the third derivative of u(j). Suppose m(c) = 0. What is c?
-2, 0, 1
Let i = -1 + 3. Suppose 0 = -3*d - i*d. Suppose d*h - 2*h + 3*h - h**2 = 0. What is h?
0, 1
Let f(n) = -9*n**2 + 11*n - 12. Let w(v) = -4*v**2 + 6*v - 6. Let d(i) = -2*f(i) + 5*w(i). Find x such that d(x) = 0.
1, 3
Suppose -2*f = -7*f + 2*l - 2, 5 = -f + 5*l. Let b = 149 - 147. Factor 1/3*i**4 + f + 0*i**3 + 0*i - 1/3*i**b.
i**2*(i - 1)*(i + 1)/3
Let q = 7 + -4. Factor -2*o + 2 + 0*o**2 + q*o + o**2 + 2*o.
(o + 1)*(o + 2)
Suppose 0*m - q = m + 2, 3*m + 5*q = -16. Let w be -2 + (-28)/(-11) + 0. Determine p, given that 0*p - 4/11*p**5 + 0*p**m + 0 - w*p**4 + 2/11*p**2 = 0.
-1, 0, 1/2
Let x(n) be the second derivative of n**5/40 - n**4/8 + n**3/6 + 3*n. Let x(i) = 0. Calculate i.
0, 1, 2
Suppose 4 = 8*l - 7*l. Let h(t) be the second derivative of -t - 1/3*t**3 + 0 - 1/10*t**5 - 1/3*t**l + 0*t**2. Factor h(r).
-2*r*(r + 1)**2
Let m(x) = 2*x**3 + 43*x**2 + 83*x. Let k(n) = 5*n**3 + 85*n**2 + 165*n. Let p(c) = -3*k(c) + 5*m(c). Factor p(z).
-5*z*(z + 4)**2
Let p(d) be the first derivative of -d**4/18 - d**3/3 + d - 1. Let h(m) be the first derivative of p(m). Let h(a) = 0. What is a?
-3, 0
Factor -2*w**4 - 5*w - 2*w**3 + 3*w**2 + 7*w - w**2.
-2*w*(w - 1)*(w + 1)**2
Let a(d) be the first derivative of -d**7/840 - d**6/360 + d**5/120 + d**4/24 - 5*d**3/3 - 3. Let u(y) be the third derivative of a(y). Factor u(t).
-(t - 1)*(t + 1)**2
Let v(b) be the second derivative of 1