actor i(z).
-2*(z + 2)*(z + 3)/3
Suppose 38*l + 91 - 167 = 0. Let c(u) be the first derivative of 8 + 2/3*u**l + 0*u - 2/9*u**3. Let c(r) = 0. What is r?
0, 2
Let k(b) = b**3 + 3*b**3 - 5 + b**4 + 0*b**4. Let s(o) = 2*o**3 - 2. Suppose 5*x + h = 26, 5 = -h + 6*h. Let t(r) = x*s(r) - 2*k(r). Factor t(w).
-2*w**3*(w - 1)
Let q(l) be the second derivative of l**7/56 - l**6/10 + 3*l**5/16 - l**4/8 + 116*l. Determine i so that q(i) = 0.
0, 1, 2
Let a = -130 + 131. Let n be 2 + a*-4 - (5 - 9). Factor 1 + 1/2*s - 1/2*s**n.
-(s - 2)*(s + 1)/2
Let r(g) = g**2 - 14 - 6*g**2 + 4*g**2 - 17*g. Let d be r(-16). Find j such that -6*j - 3*j**d + j + 0*j - 2 + 0*j = 0.
-1, -2/3
What is p in -3/5*p**4 + p**3 - 1/5*p + 0 - 1/5*p**2 = 0?
-1/3, 0, 1
Let y(c) be the first derivative of -c**4/6 + 2*c**3/9 + 2*c**2/3 + 229. Determine a, given that y(a) = 0.
-1, 0, 2
Let k(o) be the third derivative of -1/20*o**5 + 0 - o**2 + 1/40*o**6 + 0*o + 1/70*o**7 - 1/8*o**4 + 0*o**3. Solve k(w) = 0 for w.
-1, 0, 1
Let p(u) be the second derivative of -u**6/90 + u**5/15 - u**4/36 - u**3/3 + u + 182. Factor p(a).
-a*(a - 3)*(a - 2)*(a + 1)/3
Let f(r) = -r**2 - 31*r - 166. Let h be f(-24). Factor -1 + 0*u**h - 1/2*u**3 + 3/2*u.
-(u - 1)**2*(u + 2)/2
Let y be (1 + -2)/((-1)/3). Suppose -g = -4*m + 7, -4*g + 3 = -1. Factor -5 - y*q + 10*q**3 - 3 + 15*q**4 - 12*q + 3 + 5*q**5 - 10*q**m.
5*(q - 1)*(q + 1)**4
Let y(k) = -5*k**2 + 195*k - 2005. Let t(z) = 5*z**2 - 196*z + 2004. Let l(d) = -5*t(d) - 4*y(d). What is m in l(m) = 0?
20
Let d(n) be the second derivative of n**6/840 + 11*n**5/140 + 121*n**4/56 + 5*n**3 + 31*n. Let b(y) be the second derivative of d(y). Factor b(w).
3*(w + 11)**2/7
Determine m, given that 0 + 4/3*m**2 - 2/9*m**4 + 2/3*m**3 - 16/9*m = 0.
-2, 0, 1, 4
Let h = 2797/3440 - 9/688. Find m such that 4/5*m**2 + h*m + 0 - 4/5*m**3 - 4/5*m**4 = 0.
-1, 0, 1
Factor -13*c**4 - 50*c**3 - 19*c**3 + 882*c**2 + 15*c**4 - 15*c**3.
2*c**2*(c - 21)**2
Let t(o) be the second derivative of -1/2*o**2 + 1/6*o**3 + 0 - o. Let l(b) = -2*b**2 + 8*b - 2. Let d(u) = l(u) - 6*t(u). Factor d(f).
-2*(f - 2)*(f + 1)
Let h(i) be the third derivative of -i**8/420 + 4*i**7/175 - 2*i**6/25 + 2*i**5/15 - i**4/10 + 6*i**2 + 13*i. Factor h(k).
-4*k*(k - 3)*(k - 1)**3/5
Let n be -12*2*(30/8 - 3). Let a(l) = 4*l**2 + 3*l - 9. Let x(s) = -s**2 - s + 2. Let c(b) = n*x(b) - 4*a(b). Factor c(j).
2*j*(j + 3)
Let z = 13440/14729 + 12/1133. Determine d, given that 0 - 22/13*d**2 + z*d = 0.
0, 6/11
Let y(m) = -2*m**3 - 67*m**2 + 50*m - 35. Let k(h) = -h**3 - 31*h**2 + 25*h - 17. Let f(q) = -9*k(q) + 4*y(q). Factor f(r).
(r - 1)**2*(r + 13)
Factor -3900*w**3 - 3898*w**3 - 2*w**4 + 7794*w**3.
-2*w**3*(w + 2)
Let l be 6/10 + ((-32)/(-5) - 7). Let m(r) be the first derivative of 27/2*r**6 + 0*r**3 - 36/5*r**5 + 0*r - 3*r**4 + 3 + l*r**2. Factor m(s).
3*s**3*(3*s - 2)*(9*s + 2)
Let q(x) be the third derivative of 0 + 0*x + 1/630*x**7 - 13*x**2 - 1/180*x**5 + 0*x**4 - 1/1008*x**8 + 0*x**3 + 1/360*x**6. Factor q(w).
-w**2*(w - 1)**2*(w + 1)/3
Let u be (-62)/(-527) - 96/(-51). Factor 4/5 - 1/5*c**u - 4/5*c + 1/5*c**3.
(c - 2)*(c - 1)*(c + 2)/5
Suppose -4*q + 2*d + 0 = -4, 2 = d. Let g(o) = -o**3 + o**2 + o + 4. Let b be g(0). Suppose -2 + z**2 - 2*z**3 - z**4 + q + 2*z**b = 0. What is z?
0, 1
Let h be -1966*3/(-42)*28/(-24). Let l = 164 + h. Solve p**2 + l*p**3 + 2*p + 4/3 = 0 for p.
-2
Let i = -23 - -29. Suppose i = 2*k - 0. Find t such that -3*t**2 + 3*t**k - 12*t**2 + 2*t + 4*t - 24*t**3 = 0.
-1, 0, 2/7
Let h(l) be the third derivative of -1/15*l**4 + 0*l - 26/525*l**7 + 1/84*l**8 + 3/50*l**6 + 1/75*l**5 + 0*l**3 + 0 + 7*l**2. Factor h(i).
4*i*(i - 1)**3*(5*i + 2)/5
Factor 1429*s**4 + 15*s**3 - 27*s**2 - 1424*s**4 + 7*s**2.
5*s**2*(s - 1)*(s + 4)
Let f(n) be the first derivative of -1/6*n**3 + 15 - 4*n - 3/2*n**2. What is t in f(t) = 0?
-4, -2
Let 162/11 + 2/11*a**2 - 36/11*a = 0. What is a?
9
Let s be (3 + -4)/1 + 4. Suppose v + 4*v - 7 = -s*c, -8 = 2*v. Find o, given that -19 - 23*o - c*o + 72*o**2 - 51*o**3 + 7*o**4 + 11*o**3 + 3 = 0.
-2/7, 2
What is j in 10/3*j**4 + 0 - 332/3*j**3 - 16*j + 248/3*j**2 + 50/3*j**5 = 0?
-3, 0, 2/5, 2
Suppose -21 + 5 - 2*x**2 + 43*x + 0 - 48 + 23*x = 0. Calculate x.
1, 32
Let y(r) be the second derivative of 0 + 18*r - 1/14*r**3 - 1/28*r**4 + 3/14*r**2 + 3/140*r**5. Solve y(u) = 0.
-1, 1
Let u be 42/70 - 424/(-10). Suppose -u*z + 21 = -36*z. Factor 4/13*m**2 + 2/13*m**z + 0*m + 0.
2*m**2*(m + 2)/13
Let h(m) be the first derivative of -m**7/2940 - m**6/84 - 5*m**5/28 - 125*m**4/84 - 5*m**3/3 - 2. Let z(i) be the third derivative of h(i). Factor z(k).
-2*(k + 5)**3/7
Let p = 2101 + -2098. Let l(g) be the first derivative of p + 2/3*g**2 + 4/9*g**3 + 0*g. Solve l(d) = 0 for d.
-1, 0
Let d(q) be the first derivative of 17/36*q**4 + 1/18*q**5 + 3/2*q**2 + 0*q + 1 + 2/3*q**3. Let z(s) be the second derivative of d(s). What is b in z(b) = 0?
-3, -2/5
Let v = 308 + -4003/13. Let f(h) be the first derivative of 0*h + 0*h**3 - v*h**4 + 5/39*h**6 + 5 + 6/65*h**5 + 0*h**2. Factor f(w).
2*w**3*(w + 1)*(5*w - 2)/13
Let w(m) = -2*m**3 + 18*m**2 + m**5 - 18*m**2 + m**4. Let a = 15 + -16. Let l(u) = -u**5 + u**4. Let p(n) = a*w(n) + l(n). Factor p(x).
-2*x**3*(x - 1)*(x + 1)
Suppose 3*h = 7*h - 144. Suppose 6*t - 36 - h = 0. Suppose -4*q**4 - t*q**3 + 4*q**5 + q**2 - 5*q**2 - 8*q + 24*q**2 = 0. Calculate q.
-2, 0, 1
Let b(u) = -121*u**3 - 96*u**2 - 20*u + 4. Let n(m) = 241*m**3 + 191*m**2 + 40*m - 9. Let y(s) = -9*b(s) - 4*n(s). Solve y(d) = 0 for d.
-2/5, 0
Let t be 6174/(-72) + (-1)/4. Let g = t + 604/7. Factor 8/7 - 8/7*y + g*y**2.
2*(y - 2)**2/7
Let i(t) = -40*t**4 - 970*t**3 - 670*t**2 + 270*t - 20. Let z(k) = k**4 + k**2 + 4. Let j(h) = i(h) + 5*z(h). Solve j(x) = 0 for x.
-27, -1, 0, 2/7
Let g = 462/335 + -12/67. Let t(b) be the second derivative of 0 - 3*b + 1/20*b**4 + 2/5*b**3 + g*b**2. Solve t(v) = 0 for v.
-2
Factor 12/5 - 8/5*i**2 - 2/5*i**3 - 2/5*i.
-2*(i - 1)*(i + 2)*(i + 3)/5
Let j = -14950 - -538267/36. Let d = j + -10/9. Factor 9/4*q**3 + d*q**4 + 3/4*q**2 - 3/2 - 9/4*q.
3*(q - 1)*(q + 1)**2*(q + 2)/4
Let h be -384 + 381 - (0 + (-32)/10). Factor h*o**2 + 0*o + 0.
o**2/5
Let c(l) be the second derivative of -l**7/15120 + l**6/4320 + l**5/360 - l**4/3 - 12*l. Let b(v) be the third derivative of c(v). Factor b(k).
-(k - 2)*(k + 1)/6
Let p = 9/152 - 5367/152. Let i = -1769/52 - p. What is k in -170/13*k**3 + 40/13*k - i - 100/13*k**4 + 84/13*k**2 = 0?
-2, -1/2, 2/5
Let i(c) be the first derivative of -4/3*c**2 - 22 - 2/15*c**5 + 2/9*c**3 + 2/3*c**4 + 0*c. Factor i(x).
-2*x*(x - 4)*(x - 1)*(x + 1)/3
Let v(a) be the third derivative of -a**8/13440 - a**7/1344 + a**6/320 - a**5/2 - a**4/24 - 44*a**2. Let q(d) be the third derivative of v(d). Solve q(j) = 0.
-3, 1/2
Factor 6/5*o**4 + 48/5*o**2 + 0*o - 36/5*o**3 + 0.
6*o**2*(o - 4)*(o - 2)/5
Let u(g) be the first derivative of -2/3*g + 31 - 1/27*g**3 + 7/18*g**2. Solve u(y) = 0 for y.
1, 6
Let a be (10/12)/((-8)/(-240)). Factor -23*x**2 + 52 + 7 - 20*x - 9 + a*x**2.
2*(x - 5)**2
Solve 748*v + 148/5*v**3 + 4/5*v**4 + 1572/5*v**2 + 2312/5 = 0 for v.
-17, -2, -1
Let p be (-1*(-2)/8)/(((-7700)/(-160))/55). Factor -3/7*y + 0*y**4 + 2/7*y**2 - p + 4/7*y**3 - 1/7*y**5.
-(y - 2)*(y - 1)*(y + 1)**3/7
Factor -164/7*v**2 - 2*v**3 + 0 + 48/7*v.
-2*v*(v + 12)*(7*v - 2)/7
Let i(p) be the second derivative of 1/78*p**4 + 8/13*p**2 - 2/13*p**3 + 0 + 4*p. Factor i(z).
2*(z - 4)*(z - 2)/13
Let m be 4/10 + (-129)/(-15). Let q be (-6)/m + (-16)/(-6). Factor -11*t - 2 - 3*t**2 - 9 - t + q.
-3*(t + 1)*(t + 3)
Find z such that 0*z + 0 - 2/5*z**2 = 0.
0
Let y(q) be the third derivative of -q**5/570 + q**4/19 + 27*q**2 - 2. Determine d so that y(d) = 0.
0, 12
Factor 45*m**3 + 3 + 12*m**5 - 3 + 3430*m**2 + 39*m**4 + 3*m - 3409*m**2.
3*m*(m + 1)**3*(4*m + 1)
Let o(r) be the third derivative of 0*r**4 - 2*r**2 - 1/20*r**5 + 0 + 12*r + 0*r**3 + 1/40*r**6. Suppose o(d) = 0. What is d?
0, 1
Suppose 0 = 4*h + 2*h. Factor h*z**3 + z**3 + z**4 + 7*z**3 - 5*z**4.
-4*z**3*(z - 2)
Let f(g) = -2*g - 8. Let z be f(-6). Suppose z - 2 = d. Factor -12*q + 7 - 3*q**2 + q**2 + 3*q**3 - q**d + 5.
3*(q - 2)*(q - 1)*(q + 2)
Let b(q) = -42*q**3 + 266*q**2 - 380*q + 144. Let d(a) = 