 - 1/6*g**2.
-(g + 2)*(g + 4)/6
Solve -f + 0*f**3 - f**2 - f**3 + 3*f**2 = 0 for f.
0, 1
Let g = -133 + 133. Find p such that -2/5*p - 8/5*p**3 - 2*p**2 + g = 0.
-1, -1/4, 0
Let p be (-530)/(-200) - (-3)/(-12). Factor 27/5*o**3 - p*o + 0 + 0*o**2.
3*o*(3*o - 2)*(3*o + 2)/5
What is f in -4/3*f - 2/3 + 1/6*f**5 - 1/6*f**2 + 5/6*f**4 + 7/6*f**3 = 0?
-2, -1, 1
Let p(b) be the second derivative of 7*b**5/10 - 4*b**4/3 + 2*b. Let i(r) = r**4 + 29*r**3 - 31*r**2. Let j(c) = -2*i(c) + 5*p(c). Find k, given that j(k) = 0.
0, 3
Suppose -4*q + 2*q = -0*q. Let p(i) be the second derivative of q*i**5 - 1/30*i**6 + 0*i**3 + 0*i**2 + 0 - i + 1/12*i**4. Factor p(x).
-x**2*(x - 1)*(x + 1)
Let n(g) be the first derivative of -3*g + 1/10*g**5 - 3 - 2/3*g**3 - 1/6*g**4 + 0*g**2. Let p(f) be the first derivative of n(f). Find y, given that p(y) = 0.
-1, 0, 2
Let y(c) be the first derivative of -c**6/360 - c**5/90 - c**4/72 - c**2/2 - 1. Let h(u) be the second derivative of y(u). Factor h(a).
-a*(a + 1)**2/3
Let o(g) be the second derivative of -g**6/30 + 3*g**5/20 + g**4/12 - g**3/2 - 6*g. Factor o(r).
-r*(r - 3)*(r - 1)*(r + 1)
Let p(s) be the third derivative of -s**5/60 - s**4/12 + 10*s**2. Determine x, given that p(x) = 0.
-2, 0
Let 0 + 2/7*j + 2/7*j**3 + 4/7*j**2 = 0. Calculate j.
-1, 0
Let g = 78/7 - 11. Let k(l) be the first derivative of g*l**2 - 2/21*l**3 + 1 + 0*l. Find d such that k(d) = 0.
0, 1
Let j(k) = -4*k**3 - 110*k**2 - 970*k - 2918. Let o(v) = 8*v**3 + 221*v**2 + 1939*v + 5837. Let w(x) = 5*j(x) + 2*o(x). Factor w(l).
-4*(l + 9)**3
Factor 4*m**4 - 2*m**2 + 5*m**3 + 2*m**2 - 13*m**3.
4*m**3*(m - 2)
Let g(q) be the first derivative of 0*q - 3 - 2/7*q**3 + 1/7*q**2 + 1/14*q**4 + 6/35*q**5 - 2/21*q**6. What is t in g(t) = 0?
-1, 0, 1/2, 1
Let l = -1 + 3. Let -2 + p + p**2 + l + 1 - 3 = 0. Calculate p.
-2, 1
Let f(c) be the first derivative of 3/4*c**4 + 3/2*c - 7 + 3*c**2 + 5/2*c**3. Factor f(w).
3*(w + 1)**2*(2*w + 1)/2
Solve 0 + 1/4*t**4 + 1/8*t**5 + 0*t + 0*t**2 + 1/8*t**3 = 0 for t.
-1, 0
Let p(d) = -d**3 + 7*d**2 - 4*d + 2. Let z(v) = v**3 + v**2 - v + 1. Let r(b) = -5*p(b) + 10*z(b). Factor r(c).
5*c*(c - 1)*(3*c - 2)
Let j be ((-9)/(-6))/((6/2)/1). Factor 1/2*v**2 + 0 + j*v.
v*(v + 1)/2
Let a(q) be the second derivative of 6*q**7/7 + 2*q**6/5 - q**5 + q**4/3 + 8*q. What is l in a(l) = 0?
-1, 0, 1/3
Factor -12*v**2 + 23*v - 12*v**4 + 25*v + 18*v**3 + 3*v**5 - 45*v.
3*v*(v - 1)**4
Suppose 1/4*p**3 - 1/2*p**2 - 7/4*p - 1 = 0. Calculate p.
-1, 4
Let u(x) = -4*x**3 + 2*x - 2. Let h(g) = -12*g**3 + 5*g - 7. Let a(j) = 2*h(j) - 7*u(j). Factor a(f).
4*f*(f - 1)*(f + 1)
Let z(h) = h**3 + 8 + 23*h**2 + 3 - 12*h - 33*h**2. Let n be z(11). Factor -1/2*t**3 - 1/2*t**2 + 0*t + n.
-t**2*(t + 1)/2
Let z(x) be the third derivative of 1/112*x**8 + 1/8*x**4 + 0 - 1/20*x**6 + 1/10*x**5 + 0*x - 2*x**2 - 1/70*x**7 - 1/2*x**3. What is s in z(s) = 0?
-1, 1
Let s(x) be the first derivative of 2*x**5/35 - 2. Let s(v) = 0. What is v?
0
Let 27/2*h**3 + 24*h + 3/2*h**4 + 0 + 36*h**2 = 0. Calculate h.
-4, -1, 0
Suppose 0 = 2*u - 3*u - 33. Let d = u + 33. Factor 0 + d*h - 2/5*h**2.
-2*h**2/5
Let x = -125/44 + 34/11. Factor -x - 1/4*f**2 - 1/2*f.
-(f + 1)**2/4
Let -3/2*k**2 + 3/2*k**4 + 1/2*k**5 + 0 + 1/2*k**3 - k = 0. What is k?
-2, -1, 0, 1
Suppose 4*f = -0*f + 12. Factor -12*c + 0*c**f + 8*c**2 + 6*c**3 + c**2 - 12 - 3*c**4.
-3*(c - 2)**2*(c + 1)**2
Suppose -6 = 6*h - 24. Factor 0 + 1/2*o**h + 0*o + 1/2*o**2.
o**2*(o + 1)/2
Solve 3/2 + 3/2*a**2 - 3*a = 0.
1
Let m be 4/14 + (-282)/(-42). Let t(a) be the second derivative of 1/126*a**m + 0*a**2 + 1/20*a**5 + 1/36*a**4 + 0 + 2*a + 0*a**3 + 1/30*a**6. Factor t(j).
j**2*(j + 1)**3/3
Let k = 27 + -67. Let q be (k/(-50))/(26/10). Factor 0 + 2/13*p**2 + 0*p - q*p**3 + 2/13*p**4.
2*p**2*(p - 1)**2/13
Suppose 4*c - 7 - 5 = 0. Let s(z) = -z**2 + 3*z + 4. Let h be s(c). Find d such that 0*d + 2 + d**3 + 2*d + 3*d + h*d**2 = 0.
-2, -1
Let v(t) be the second derivative of -t**4/12 + t**3/6 - t**2/2 + 8*t. Let k(u) = 3*u**2 + 3*u. Let c(s) = -k(s) - 6*v(s). Factor c(a).
3*(a - 2)*(a - 1)
Let g be 5 - 7/(7/3). Factor 0 - 1/2*u**g - 1/2*u.
-u*(u + 1)/2
Let d(y) = 6*y - y**2 - 8*y**3 + y**3 - 7*y**2 - 6. Let f(l) = -6 - 3*l**3 - 4*l**3 - 7*l**2 + 1 + 5*l. Let t(c) = 5*d(c) - 6*f(c). Factor t(b).
b**2*(7*b + 2)
Let n = 156 - 776/5. Let a = 3 + -1. Suppose -a*o + n - 18/5*o**2 + 14/5*o**4 + 2*o**3 = 0. What is o?
-1, 2/7, 1
Let d be (-25)/30*-3 + (-42)/20. Factor d*g - 1/5 - 1/5*g**2.
-(g - 1)**2/5
Factor -c - 99 + 4*c**2 + 5*c + 99.
4*c*(c + 1)
Let f(o) be the third derivative of o**5/210 - o**4/14 + 3*o**3/7 - 18*o**2. Factor f(m).
2*(m - 3)**2/7
Let b(c) be the first derivative of -2/5*c - 7/10*c**2 + 7/10*c**4 - 7/30*c**6 + 4/15*c**3 - 2/25*c**5 - 1. Solve b(q) = 0.
-1, -2/7, 1
Suppose 0 = -4*x + x. Factor -t + x*t + t - 3*t**2 - 6*t.
-3*t*(t + 2)
Factor -t + 1/2*t**3 - 1/2*t**2 + 0.
t*(t - 2)*(t + 1)/2
Let j(s) be the second derivative of 5/9*s**3 + 0 - 22/45*s**6 + 1/18*s**4 + 3*s - 8/63*s**7 - 17/30*s**5 + 1/3*s**2. What is i in j(i) = 0?
-1, -1/4, 1/2
Let k = -28 + 85/3. Let j be (-8)/(-76) - 26/(-114). Factor d**2 - j*d + k*d**4 - d**3 + 0.
d*(d - 1)**3/3
Suppose 0 = -2*g + 203 - 199. Determine m, given that 0*m + 1/4*m**3 + 0 + 0*m**g = 0.
0
Let h(z) be the third derivative of -z**5/30 - 7*z**4/6 - 49*z**3/3 + 5*z**2. Factor h(b).
-2*(b + 7)**2
Let a(s) = 14*s**4 + 27*s**3 + 4*s**2 - 2*s. Let t(y) = -57*y**4 - 108*y**3 - 15*y**2 + 9*y. Let v(d) = 9*a(d) + 2*t(d). Find l, given that v(l) = 0.
-2, -1/4, 0
Suppose 5*i - 6 - 9 = 0. Determine d so that 8*d**4 + i*d**3 + 2*d**3 - 3*d**3 = 0.
-1/4, 0
Let p(t) be the third derivative of -t**5/120 - t**4/24 - t**3/12 - 7*t**2. Factor p(k).
-(k + 1)**2/2
Let g(i) be the second derivative of -3*i**5 + 27*i**4/4 + 12*i**3 + 6*i**2 + 18*i. Factor g(m).
-3*(m - 2)*(4*m + 1)*(5*m + 2)
Let y(x) = 2*x**3 - 1 - 2*x**3 - x**5 + x**3 - x**4. Let p(h) = 7*h**5 + h**4 - 3*h**3 + 5. Suppose 6*b = b - 5. Let j(u) = b*p(u) - 5*y(u). Solve j(n) = 0.
0, 1
Suppose -1/3*j**3 - 1/3*j**2 + 1/3 + 1/3*j = 0. What is j?
-1, 1
Suppose -2*n + 6*n = 72. Suppose 3*a - 4*i = n, -3*i - 4 = 5. Factor -1 - 2*d - 4*d**a + 1 - 2*d**3.
-2*d*(d + 1)**2
Let v(s) be the first derivative of -1/25*s**5 - 1/6*s**4 - s - 1/5*s**2 - 4/15*s**3 + 1. Let a(j) be the first derivative of v(j). Factor a(q).
-2*(q + 1)**2*(2*q + 1)/5
Suppose -31*i + 27*i + 12 = 0. Let b(s) be the first derivative of -1 - 1/20*s**5 - 3/16*s**4 + 3/8*s**2 + 1/2*s - 1/12*s**i. Factor b(k).
-(k - 1)*(k + 1)**2*(k + 2)/4
Solve 234*l**3 + 13*l**5 + 8*l**4 - 9*l**5 - 230*l**3 = 0 for l.
-1, 0
Determine k so that -10/7*k**2 + 2/7*k**4 - 4/7*k + 2/7*k**5 - 6/7*k**3 + 0 = 0.
-1, 0, 2
Suppose -14*o = -12*o + 24. Let m be (-1)/(-4) + (-3)/o. Find x such that 7/4*x - m - 7/4*x**3 + 1/2*x**2 = 0.
-1, 2/7, 1
Let p be (-144)/30 - 1/5. Let r = p + 7. What is o in 4*o - o**3 - 5*o**3 - 3*o**r + o**2 = 0?
-1, 0, 2/3
Let r be -1*((-3)/(-6) + -1). Let l(f) = -f**3 + 7*f**2 - 5*f - 4. Let i be l(6). Factor 1/2 - s + r*s**i.
(s - 1)**2/2
Let l(n) = -6*n**2 - n. Let f be l(-1). Let w = 5 + f. Determine a so that 0*a**4 + 1/2*a**3 - 1/4*a + w*a**2 - 1/4*a**5 + 0 = 0.
-1, 0, 1
Let f(y) be the second derivative of 3*y + 1/30*y**6 + 0*y**5 - 1/12*y**3 + 0*y**2 + 1/84*y**7 + 0 - 1/12*y**4. Factor f(r).
r*(r - 1)*(r + 1)**3/2
Solve 4*d - 1/2*d**2 - 7/2 = 0.
1, 7
Factor -2/3*h**4 + 1/6*h - 3/2*h**2 + 11/6*h**3 + 1/6.
-(h - 1)**3*(4*h + 1)/6
Suppose -6*b = -3*b. Factor b + 6/5*w + 9/5*w**2.
3*w*(3*w + 2)/5
What is a in 5/4*a**3 + 15/2*a**2 + 0 + 25/4*a = 0?
-5, -1, 0
Let u(j) = -19*j**5 - 19*j**4 - 7*j**3 + 6*j**2 + 13. Let n(a) = -3*a**5 - 3*a**4 - a**3 + a**2 + 2. Let m(f) = 39*n(f) - 6*u(f). Factor m(z).
-3*z**2*(z - 1)*(z + 1)**2
Let g(j) be the third derivative of 1/12*j**4 + 0*j + 3*j**2 - 1/6*j**3 - 1/60*j**5 + 0. Find p such that g(p) = 0.
1
Let l = 11 - 7. Suppose -22 = -l*x - 10. What is i in 9/2*i**2 + 0 - i - 9/2*i**x = 0?
0, 1/3, 2/3
Let c(g) be the first derivative of -5*g**4/4 + 5*g**3/3 + 10*g**2 - 20*g + 6. Solve c(t) = 0 for t.
-2, 1, 2
Let j = 207 + -1031/5. What is f in 8/5*f**2 + 2/5*f**3 + 2*f + j = 0?
-2, -1
Factor -237*x - 3*x**2 + 4*x**2 + 238*x - 2*x**2.
-x