*o**6 + 0*o**4 + 0*o + 0*o**5. Factor i(c).
2*c**3
Let 2/5 + 1/5*m**2 - 3/5*m = 0. Calculate m.
1, 2
Let s be (0 + (-7)/(-35))/(2/30). Factor 4/9*t**s + 0 + 2/9*t**2 + 2/9*t**4 + 0*t.
2*t**2*(t + 1)**2/9
Suppose -y + 0*y + 4 = 0. Suppose m - 1 = 0, 3*u = 4*u - y*m + 2. Factor -6*d**2 + 2*d**u + 1 + 3*d**2.
-(d - 1)*(d + 1)
Let f(t) be the third derivative of -t**6/240 + t**5/80 - t**4/96 + 2*t**2. Factor f(w).
-w*(w - 1)*(2*w - 1)/4
Let q(y) be the second derivative of -y - 1/20*y**5 + 0*y**2 + 0 + 1/12*y**4 + 1/3*y**3. Factor q(x).
-x*(x - 2)*(x + 1)
Let r(o) = 8*o**3 - 4*o**2 - 4*o + 7. Let d(w) = -w**3 + w - 1. Let t(l) = 35*d(l) + 5*r(l). Factor t(h).
5*h*(h - 3)*(h - 1)
Let o = -10 - 20. Let m be 12/5 - (-12)/o. Factor 2*y**2 - y**2 + 0*y**m.
y**2
Factor 2/11 + 2/11*z - 2/11*z**2 - 2/11*z**3.
-2*(z - 1)*(z + 1)**2/11
Let b be (3/(-24)*-6)/(3/8). Suppose 2/5 + 1/5*t**b - 3/5*t = 0. What is t?
1, 2
Let q = -119 + 1429/12. Let b(o) be the second derivative of 0 + 0*o**2 + q*o**3 - o - 1/24*o**4. Find f, given that b(f) = 0.
0, 1
Let p(w) be the second derivative of -w**10/7560 - w**9/7560 + w**8/1680 + w**7/1260 - w**4/4 + w. Let o(x) be the third derivative of p(x). Solve o(f) = 0.
-1, -1/2, 0, 1
Suppose 12 = -c - 3*j - 0*j, 0 = 4*c + 4*j + 24. Let d be 1 + -1 - (3 + c). Factor 1/3*s**5 + 0*s + d - 1/3*s**2 - 1/3*s**3 + 1/3*s**4.
s**2*(s - 1)*(s + 1)**2/3
Determine n, given that 0*n + 0*n**3 - 1/5*n**4 - 1/5 + 2/5*n**2 = 0.
-1, 1
Let k(d) be the third derivative of d**8/3360 - d**6/300 - d**5/300 + d**4/80 + d**3/30 + 4*d**2. Determine m, given that k(m) = 0.
-1, 1, 2
Let b(s) = -s**3 - 5*s**2 - 5*s - 1. Let d be b(-4). Let w(p) be the second derivative of 1/14*p**4 + 0 + 4/7*p**2 - 8/21*p**d - p. Factor w(k).
2*(k - 2)*(3*k - 2)/7
Factor c**2 + 2 + 21*c**2 + 12*c + 20*c**3 - 8*c**3.
2*(c + 1)*(2*c + 1)*(3*c + 1)
Let c(q) be the third derivative of -q**8/10080 + q**7/945 - q**6/216 + q**5/90 + q**4/6 + q**2. Let t(f) be the second derivative of c(f). Factor t(r).
-2*(r - 2)*(r - 1)**2/3
Let v(w) be the second derivative of w**6/20 - 3*w**5/20 - 18*w. Factor v(b).
3*b**3*(b - 2)/2
Let h(x) be the second derivative of 7/24*x**4 - 4*x + 0*x**2 + 0 - 1/4*x**3 + 1/60*x**6 - 1/8*x**5. Factor h(u).
u*(u - 3)*(u - 1)**2/2
Let q be (-10)/25 + 112/30. Solve q*k**4 - 14/3*k**2 + 2*k - 2*k**3 + 4/3 = 0.
-1, -2/5, 1
Let a(w) be the third derivative of w**8/1176 + 2*w**7/147 + 2*w**6/21 + 8*w**5/21 + 20*w**4/21 + 32*w**3/21 - 4*w**2. Factor a(m).
2*(m + 2)**5/7
Let m(n) = 2*n - 7. Let i be m(5). Suppose i*a = 2*a. Suppose 3*d + a*d - d - 4*d**2 + 11*d**2 = 0. What is d?
-2/7, 0
Let z(k) = -k**2 - 5*k - 2. Let h be z(-2). Let u(i) be the second derivative of 0*i**2 - 1/6*i**3 + 1/12*i**h - 2*i + 0. Suppose u(l) = 0. Calculate l.
0, 1
Let w = -238 + 241. Determine p so that 8/3*p + 0 + 0*p**2 + 2/3*p**4 - 2*p**w = 0.
-1, 0, 2
Let w(m) be the third derivative of -m**2 + 0*m**6 + 0*m**3 - 1/672*m**8 + 0*m + 0 + 1/48*m**4 + 1/210*m**7 - 1/60*m**5. Factor w(r).
-r*(r - 1)**3*(r + 1)/2
Let l = -51 - -55. Let f(m) be the second derivative of -m + 1/3*m**3 + 1/12*m**l + 0*m**2 + 0. Determine z, given that f(z) = 0.
-2, 0
Let 1/4*u + 1/4 - 1/4*u**2 - 1/4*u**3 = 0. Calculate u.
-1, 1
Let n(f) be the third derivative of f**5/18 + f**4/18 - 8*f**2. Find r, given that n(r) = 0.
-2/5, 0
Let c(t) = 31*t**2 + 64*t + 16. Let m(x) = x**2. Let a(y) = c(y) - 3*m(y). Factor a(h).
4*(h + 2)*(7*h + 2)
Factor t - 33*t**2 + 20*t - 18 - 72*t - 6*t**3.
-3*(t + 2)*(t + 3)*(2*t + 1)
Let b(d) be the third derivative of -d**5/105 - 2*d**4/7 + 30*d**2. Let b(p) = 0. Calculate p.
-12, 0
Let n be 2 + 1 + 2640/(-21). Let m = n - -123. Let -m*l**2 + 0*l + 2/7 = 0. Calculate l.
-1, 1
Solve 3/2*i + 0 - 3/2*i**3 - 9/4*i**4 + 9/4*i**2 = 0.
-1, -2/3, 0, 1
Let m(t) be the third derivative of -t**5/270 + t**4/108 + 2*t**3/27 - 8*t**2. Factor m(w).
-2*(w - 2)*(w + 1)/9
Let x(m) = -m**3 + m - 3. Let t(a) = -a**2 + 4*a + 2. Let z be t(5). Let d(n) = 6 + 4*n**3 + 8 + n - 5*n. Let k(r) = z*d(r) - 14*x(r). Let k(p) = 0. What is p?
-1, 0, 1
Factor 0 + 4*k**3 + 10*k**4 - 11*k**2 - 5*k + 8 + 13*k - 19*k**2.
2*(k - 1)**2*(k + 2)*(5*k + 2)
Let t(f) = f**2 - f - 1. Let g(r) = -r - 2. Let k(p) = 2*g(p) + 2*t(p). Find s such that k(s) = 0.
-1, 3
Suppose 0*m - 3/7*m**2 - 1/7*m**4 - 4/7*m**3 + 0 = 0. Calculate m.
-3, -1, 0
Factor 0*u**3 - 170 + u - u**3 + 5*u**2 + 165.
-(u - 5)*(u - 1)*(u + 1)
Let k(c) = -c**3 + 11*c**2 + c - 11. Let y(s) = s**2 - 1. Let x(j) = 4*k(j) - 44*y(j). Factor x(t).
-4*t*(t - 1)*(t + 1)
Determine q, given that -1/2 - 2*q - 1/2*q**4 - 3*q**2 - 2*q**3 = 0.
-1
Let n be (-1 + 2/3)*-6. Suppose 4*l = n*s + 12, 5*s = 4*l - 14 + 2. Suppose 0*i**l + 4*i**3 + 2*i**3 + 2*i - 4*i**3 + 4*i**2 = 0. What is i?
-1, 0
Let b(j) be the first derivative of 8*j**3/3 - 6*j**2 - 8*j + 3. Factor b(s).
4*(s - 2)*(2*s + 1)
Suppose -45*d = -29*d. Find m, given that 1/2*m**4 + 0 + d*m**2 + 0*m + 1/2*m**3 = 0.
-1, 0
Factor 0 - 1/6*a**3 + 1/6*a + 0*a**2.
-a*(a - 1)*(a + 1)/6
Let y(j) be the second derivative of j**4/96 - j**3/48 - j**2/8 - 7*j. Determine s so that y(s) = 0.
-1, 2
Let w(x) be the second derivative of 1/36*x**4 - 5*x + 0*x**2 - 1/30*x**5 + 1/90*x**6 + 0 + 0*x**3. Solve w(m) = 0 for m.
0, 1
Let u(l) be the second derivative of l**7/525 - l**6/100 + l**5/50 - l**4/60 + l**2/2 - 3*l. Let g(n) be the first derivative of u(n). Solve g(h) = 0.
0, 1
Let n(w) be the first derivative of 0*w**3 + 1/10*w**4 + 0*w + 2 + 2/5*w**5 + 4/15*w**6 + 0*w**2. Find s, given that n(s) = 0.
-1, -1/4, 0
Let b(h) be the third derivative of -h**7/35 - 2*h**6/15 - 7*h**5/30 - h**4/6 + 6*h**2. Determine n, given that b(n) = 0.
-1, -2/3, 0
Let p(k) be the second derivative of k**10/105840 - k**9/52920 - k**8/23520 + k**7/8820 + k**4/12 + k. Let w(d) be the third derivative of p(d). Solve w(f) = 0.
-1, 0, 1
Let s(j) = -j**3 + 6*j**2 + 6*j + 10. Let l be s(7). Factor 5 + 0 - 8 + 21*g**2 + 15*g - l.
3*(g + 1)*(7*g - 2)
Determine d so that -4*d**2 - 9*d - 19*d - d**2 - 15 + 8*d = 0.
-3, -1
Let m(l) be the second derivative of 0 - 3*l + 1/6*l**4 + 1/30*l**5 + 1/3*l**3 - 2*l**2. Let z(a) be the first derivative of m(a). Solve z(v) = 0.
-1
Suppose -4*y - 4 = -32. Let n(j) be the second derivative of 0*j**2 + 0*j**3 - 1/84*j**y - 1/20*j**6 - 3/40*j**5 + 0 - j - 1/24*j**4. Factor n(i).
-i**2*(i + 1)**3/2
Let o be -1*(-1 + -1 + 72/45). Determine r so that o*r**4 - 8/5 - 8/5*r + 6/5*r**2 + 8/5*r**3 = 0.
-2, -1, 1
Let c(w) = 5*w**2 - 3*w + 2. Let p(s) = -6*s - 3 + 2*s**2 + 24*s**2 + 14 - 10*s. Let u(i) = -11*c(i) + 2*p(i). Factor u(v).
-v*(3*v - 1)
Suppose -4*n + o - 53 = 0, 2*n + o = -3*n - 73. Let m be (-6)/n - 360/(-336). Suppose -1/6 - 1/3*l**3 + l - 2/3*l**5 + m*l**4 - 4/3*l**2 = 0. Calculate l.
-1, 1/4, 1
Let z be ((-1)/(-4))/(-1) - 3/(-12). Let v(j) be the second derivative of z*j**3 + 14/5*j**5 + 2/3*j**4 - 2*j + 49/15*j**6 + 0*j**2 + 0. Factor v(r).
2*r**2*(7*r + 2)**2
Suppose -2*b + 48 = -4*r, 0*b = -5*r + b - 54. Let g be (4/(-3))/(r/6). Find h such that 0 - 2/5*h**3 + g*h**2 - 2/5*h = 0.
0, 1
Let r be 2/6 + (-10)/(-6). Let p be 38/15 + (-72)/(-540). Find l, given that 8/3*l + 2/3*l**r + p = 0.
-2
Let j(h) = -11*h**2 + 7*h + 23. Let w(t) = -6*t**2 + 4*t + 12. Let g(c) = -4*j(c) + 7*w(c). Factor g(z).
2*(z - 2)*(z + 2)
Let g(o) be the third derivative of -1/24*o**4 + 1/24*o**3 + 1/840*o**7 + 0 + 1/40*o**5 - 1/120*o**6 + 0*o - 4*o**2. Solve g(f) = 0.
1
Suppose 19*x = 14*x - 145. Let o = 32 + x. What is m in 0*m**2 - 2/5*m**4 + 0 - 4/5*m**o + 0*m = 0?
-2, 0
Let c(g) be the third derivative of -g**8/40320 + g**7/10080 - g**5/6 + 10*g**2. Let z(v) be the third derivative of c(v). Determine q so that z(q) = 0.
0, 1
Let b(x) be the first derivative of x**6/36 + x**5/30 - x**4/12 - 30. Suppose b(z) = 0. What is z?
-2, 0, 1
Let c = 1/70 - -16/105. Let h(f) be the first derivative of c*f**3 + 0*f - 1/4*f**2 + 3. Factor h(r).
r*(r - 1)/2
Solve -4/15*p**3 + 8/15*p**2 + 4/15*p - 2/15*p**4 - 2/5 = 0 for p.
-3, -1, 1
Let f = 54825 + -10142546/185. Let j = -1/37 + f. Suppose 0 + 0*t**2 - j*t + 2/5*t**3 = 0. What is t?
-1, 0, 1
Suppose 0 = -5*s + 2*x + 12, -4*s + 10 = 2*x - 4*x. Suppose h**3 + h + 4*h**2 - 2*h**2 + 0*h**s = 0. What is h?
-1, 0
