*m**2.
m**2*(m + 10)/11
Factor -12 - 26*t + 46*t + 3*t**2 - 29*t.
3*(t - 4)*(t + 1)
Suppose -3/7*j**3 + 6/7*j**2 - 6/7 + 3/7*j = 0. What is j?
-1, 1, 2
Let f(y) = 2*y**3 - 5*y**2 - 5*y + 6. Let u be f(3). Factor 1/6*s + u - 1/6*s**3 + 0*s**2.
-s*(s - 1)*(s + 1)/6
Let i be (-4)/(-14) + (-132)/(-420). Suppose 3/5 - i*p**3 + 3/5*p - 3/5*p**2 = 0. What is p?
-1, 1
Let b = -8 + 11. Factor 38 - 38 - 3*q**3 + b*q**2.
-3*q**2*(q - 1)
Let r(h) be the third derivative of 1/240*h**5 + 0*h - 4*h**2 + 0 + 0*h**3 - 1/96*h**4. Factor r(d).
d*(d - 1)/4
Let r(b) be the first derivative of -b**4/4 - 4*b**3/3 - 5*b**2/2 - 2*b - 5. Factor r(p).
-(p + 1)**2*(p + 2)
Let b(t) be the third derivative of -t**5/12 - 5*t**4/12 + 5*t**3/2 + 16*t**2. Let b(w) = 0. Calculate w.
-3, 1
Let d be -6*(-1)/6*2. Factor 2*l - 7*l**2 + l**2 + 2*l**2 + d*l**3.
2*l*(l - 1)**2
Let x(a) be the second derivative of -5*a**4/6 - 5*a**3/6 + 5*a**2/2 - 18*a. Factor x(n).
-5*(n + 1)*(2*n - 1)
Let x be 8/6*(-21)/(-14). Let t be (-1)/(-4) - 1/(-12). Solve t*g**x - g + 2/3 = 0.
1, 2
Let a be (-8)/3*(-130)/4. Let t = -86 + a. Determine b so that -t*b - 1/3*b**2 + 0 = 0.
-2, 0
Let t(s) = -s - 1. Suppose 0 = 2*p + 8 + 4. Let h be t(p). Suppose -2 - h*o - o - 6*o**2 + 2*o**2 + 0*o = 0. What is o?
-1, -1/2
Let f be (4 + (-33)/15)*-5. Let t be (-12)/f*(-18)/(-12). Find y, given that 2/7*y**t + 4/7 + 6/7*y = 0.
-2, -1
Suppose -61*p = -62*p. Solve p + 2/13*n**2 + 4/13*n = 0.
-2, 0
Let h(n) = 11. Let d(i) = 4. Let s(u) = 8*d(u) - 3*h(u). Let f(r) = -3*r**2 + 3*r + 10. Let j(w) = f(w) + 4*s(w). Suppose j(v) = 0. Calculate v.
-1, 2
Let p(x) = x - 4. Let d be p(5). Let r(g) = -g**3. Let j(l) = l**4 - 2*l**3 + 5*l**2 + 2*l. Let a(y) = d*j(y) - 6*r(y). Factor a(o).
o*(o + 1)**2*(o + 2)
Let z be 1 + -1*1/2. Let p = -40 + 40. Factor 0 - z*y**2 + 1/2*y**4 - 1/2*y**3 + p*y + 1/2*y**5.
y**2*(y - 1)*(y + 1)**2/2
Let r(o) = 13*o**2 - 7*o + 7. Let v(k) = 1 + 4*k + 0*k**2 - 3*k**2 - 5 - 3*k**2. Let m(d) = -4*r(d) - 9*v(d). Find j such that m(j) = 0.
2
Factor -53*a**2 + 52*a**2 - 2*a - a - 2.
-(a + 1)*(a + 2)
Let a(x) be the second derivative of 0 - x**3 - 6*x + 3/2*x**2 + 1/4*x**4. Solve a(b) = 0.
1
Let y = -42/17 - -464/119. Determine z so that -18/7*z**2 + y*z - 10/7*z**3 + 4/7 + 2*z**4 = 0.
-1, -2/7, 1
Suppose -4*m - 36 = u, m - 5*u - 1 = 11. Let d = m - -13. What is q in 14*q**d + 4*q**3 + 10*q**4 - 4*q**4 + 12*q**4 = 0?
-1, -2/7, 0
Suppose 0 = 2*z + 28 - 96. Let n = 103/3 - z. Factor -g**3 + g**4 + n*g**2 + 0 + 0*g - 1/3*g**5.
-g**2*(g - 1)**3/3
Let j(f) be the second derivative of 5*f + 2*f**2 + 2/3*f**3 + 1/12*f**4 + 0. Let j(v) = 0. What is v?
-2
Let z be (36/168)/(3/4) - 0. Factor 0*r**2 + 0 + 2/7*r**3 - z*r.
2*r*(r - 1)*(r + 1)/7
Let o(c) be the second derivative of -c**5/80 - c**4/48 + c**3/12 - 6*c. Solve o(s) = 0 for s.
-2, 0, 1
Let a = 377/1149 - -2/383. Let 0*s + a*s**3 + 2/3*s**4 + 1/3*s**5 + 0*s**2 + 0 = 0. Calculate s.
-1, 0
Let n(t) be the third derivative of 1/120*t**6 + 0*t**3 + 4*t**2 - 1/12*t**4 + 0*t + 0 + 1/60*t**5. Solve n(l) = 0.
-2, 0, 1
Let z(y) = y**2 - 2*y + 3. Let g be z(0). Let t(u) be the second derivative of -3*u + 0*u**g + 0*u**2 + 0 + 1/12*u**4. Factor t(r).
r**2
Let o be 20/9*(91/35 + -2). Let y = 8 - 6. Factor 2/3*l**y + 2/3 + o*l.
2*(l + 1)**2/3
Let y = 28 - 23. Let k(f) be the third derivative of 0*f - 1/30*f**y - 1/12*f**4 + 0 + 0*f**3 - f**2. Factor k(c).
-2*c*(c + 1)
Let b(w) be the first derivative of 2*w**5/35 - 3*w**4/7 + 26*w**3/21 - 12*w**2/7 + 8*w/7 + 1. Factor b(c).
2*(c - 2)**2*(c - 1)**2/7
Let r(h) be the second derivative of h + 1/27*h**3 - 1/90*h**5 + 1/27*h**4 + 0 - 2/9*h**2. What is l in r(l) = 0?
-1, 1, 2
Let r = 3 - 0. Suppose r*g = -g. Find k, given that g + 4/11*k + 2/11*k**2 = 0.
-2, 0
Factor 0*y + 0 - 1/4*y**2.
-y**2/4
Let r(c) be the first derivative of c**5/270 - 2*c**4/27 + 16*c**3/27 + c**2/2 + 5. Let z(w) be the second derivative of r(w). Factor z(p).
2*(p - 4)**2/9
Suppose 2*k + 2 = -3*b, -3*k + b - 4*b = 0. Determine f so that -5*f**2 + f**2 - 4*f**3 + 3*f**k - 3*f**2 = 0.
-1, 0
Let c(f) be the third derivative of -3/160*f**6 + 1/120*f**5 + 0*f**3 - 2*f**2 + 0*f + 1/70*f**7 + 0*f**4 - 5/1344*f**8 + 0. Determine n so that c(n) = 0.
0, 2/5, 1
Let d = -306/5 - -408/5. Let p = d + -20. Factor -2/5*h + 2/5 + p*h**3 - 2/5*h**2.
2*(h - 1)**2*(h + 1)/5
Let s be ((-12)/1725)/((-8)/80). Let q = s - -757/690. Find h, given that -1/3 - q*h**2 + 3/2*h = 0.
2/7, 1
Let s = 94 - 183/2. Factor 5*d**3 - s*d**4 + 5/2*d - 1/2 - 5*d**2 + 1/2*d**5.
(d - 1)**5/2
Let q(w) be the third derivative of -w**8/672 + w**7/420 + w**6/240 - w**5/120 - w**2. Factor q(n).
-n**2*(n - 1)**2*(n + 1)/2
Suppose 0*o + 5*o = -1125. Let n be (20/o)/((-2)/10). Factor n + 2/9*k**3 - 2/9*k - 4/9*k**2.
2*(k - 2)*(k - 1)*(k + 1)/9
Let k(r) = r**2 - 9*r - 162. Let h be k(18). What is b in -1/6*b**2 + h + 1/6*b**3 + 1/6*b**4 - 1/6*b = 0?
-1, 0, 1
Suppose -45*r - 14*r**4 + 10 - 22*r**4 - 4 + 90*r**2 - 6*r**3 - 9*r**3 = 0. What is r?
-2, 1/4, 1/3, 1
Let a(k) = -k**3 + 9*k**2 + 2*k - 17. Let s be a(9). Suppose -s - 2 = -n. Factor -3/2 - 3*u**n + 3/2*u**2 + 3*u.
-3*(u - 1)*(u + 1)*(2*u - 1)/2
Factor -4*v**2 - 3*v**3 - 2*v**3 - 6*v**2.
-5*v**2*(v + 2)
Factor 0 + 16/5*a**4 - 12/5*a**3 + 0*a - 4/5*a**2.
4*a**2*(a - 1)*(4*a + 1)/5
Let 486/5*y**3 - 12/5 + 297/5*y**2 - 36/5*y - 2187/5*y**4 = 0. Calculate y.
-2/9, 1/3
Factor d - 1/4*d**3 - 2 + 1/2*d**2.
-(d - 2)**2*(d + 2)/4
Factor 1/5*y**3 - 1/5*y + 0 + 0*y**2.
y*(y - 1)*(y + 1)/5
Let f = 14 - 10. Suppose q + 0 = 2. Let 3*k - 4*k + 3*k + q*k**5 - f*k**3 = 0. Calculate k.
-1, 0, 1
Let i(n) be the third derivative of -n**6/60 + n**5/30 + n**4/6 + 44*n**2. Factor i(z).
-2*z*(z - 2)*(z + 1)
Let n(y) be the first derivative of y**3/3 - 2*y**2 + 4*y - 6. Let t be n(4). Factor -32/5*k**3 - 8/5*k**2 - 18/5*k**5 + 0*k - 42/5*k**t + 0.
-2*k**2*(k + 1)*(3*k + 2)**2/5
Let x be ((-18)/54)/((-2)/12). Factor -9/2*v - 15/2*v**x + 27/2 - 3/2*v**3.
-3*(v - 1)*(v + 3)**2/2
Let i(t) be the second derivative of 0 - 1/90*t**6 + 0*t**2 - 5*t - 1/60*t**5 + 0*t**4 + 0*t**3. Factor i(l).
-l**3*(l + 1)/3
Let o(c) = c**3 + 8*c**2 + 7*c - 6. Let j be o(-7). Let y be (16/j)/((-18)/3). Factor y*f + 2/9 - 2/9*f**4 + 0*f**2 - 4/9*f**3.
-2*(f - 1)*(f + 1)**3/9
Factor 5*g**5 - 16*g + 42*g + 10*g - 27*g**3 - 2*g**5 + 12*g**2.
3*g*(g - 2)**2*(g + 1)*(g + 3)
Let u = -186 + 186. Let r(c) be the third derivative of -1/336*c**8 + 4*c**2 + 0 + 0*c**4 + 0*c**3 - 1/40*c**6 + 1/60*c**5 + u*c + 1/70*c**7. Solve r(y) = 0.
0, 1
Let i = 7 + -6. Let j be -1 - (i - (0 + 2)). Factor -1/4*h**3 + 0 + 1/4*h**4 + j*h + 1/4*h**5 - 1/4*h**2.
h**2*(h - 1)*(h + 1)**2/4
Suppose v**3 + v**2 - 3 + v - 2*v**3 + 2 = 0. Calculate v.
-1, 1
Let i(b) be the third derivative of 0*b**6 + 0*b + 0*b**5 + 0*b**4 + 1/630*b**7 + 2*b**2 + 0*b**3 + 0. Determine k, given that i(k) = 0.
0
Let h(q) be the second derivative of 0 - 2*q + 3/2*q**2 - 1/2*q**4 + 0*q**3 + 0*q**5 + 1/10*q**6. Find m, given that h(m) = 0.
-1, 1
Let w be 1*(4 - 4/1)/2. What is d in w + 4/3*d**2 + 2/3*d**4 + 0*d + 2*d**3 = 0?
-2, -1, 0
Factor 4/3*w**3 - 5/3 + 2*w**2 - 1/3*w**4 - 4/3*w.
-(w - 5)*(w - 1)*(w + 1)**2/3
Let b(a) be the third derivative of -a**7/350 + a**5/100 - 10*a**2. Find m, given that b(m) = 0.
-1, 0, 1
Let b = 5 - 8. Let q be (0/b)/2 - -2. Factor 1/4*h**3 - 1/2*h**q + 0*h + 0.
h**2*(h - 2)/4
Let r(q) be the first derivative of -q**8/7560 + q**6/1620 - q**3/3 + 3. Let l(a) be the third derivative of r(a). Factor l(v).
-2*v**2*(v - 1)*(v + 1)/9
Let d be (-9)/4 + 16/(-64) - -3. Let -d*k**4 + 0*k + 0 + k**3 - 1/2*k**2 = 0. What is k?
0, 1
Factor 50*i**2 + 18*i**3 + 19*i**4 + 11*i**4 - 44*i + 29*i - 78*i**3 - 5*i**5.
-5*i*(i - 3)*(i - 1)**3
Solve 0*t**2 - 2*t**2 - t + t**2 - t**2 - t**3 = 0.
-1, 0
Let g(y) be the second derivative of -2*y + 0*y**2 + 0 - 1/12*y**4 + 1/6*y**3 + 3/40*y**5 - 1/40*y**6. Let k(x) be the second derivative of g(x). Factor k(f).
-(3*f - 2)*(3*f - 1)
Let u(y) be the third derivative of y**6/480 - y**5/40 + 3*y**4/32 + 13*y**2. Factor u(j).
j*(j - 3)**2/4
Suppose -75/2*t + 10 + 135/4*t**2 - 25/4*t**3 = 0. What is t?
2/5, 1, 4
Let i(t) = t**2 - 11*t - 24. Let s be i(13). Let 0 - 2*j**4 - 24/5*j**3 - 18/5*j**s - 4/5*j = 0. Ca