(-396)/117) + (-12)/(-16). Let t(i) be the first derivative of -88/3*i**3 + 12 - 48*i**2 - 36*i - 8*i**f - 4/5*i**5. Factor t(l).
-4*(l + 1)**2*(l + 3)**2
Let p(u) be the second derivative of -34/9*u**3 + 2*u - 1/2*u**5 - 37/12*u**4 - 2*u**2 + 5/18*u**6 + 0. Factor p(m).
(m - 3)*(m + 1)*(5*m + 2)**2/3
Suppose -5*d - 5*a + 25 = 0, 3*d - 4*a - 23 = a. Solve 39*o - d + o - 6 - 12*o**2 = 0.
1/3, 3
Let l = 58 - 58. Suppose 4*b - 4*k + 5*k = 13, 5*b - 3*k + 5 = l. Factor -2/11*a**b - 32/11 + 16/11*a.
-2*(a - 4)**2/11
Let f(i) = 14*i**4 - 20*i**3 + 22*i**2 - 8*i + 4. Let z(v) = 13*v**4 - 21*v**3 + 21*v**2 - 7*v + 3. Let c(j) = -3*f(j) + 4*z(j). What is y in c(y) = 0?
0, 2/5, 1
Let q(s) be the first derivative of 12/5*s**3 + 12/5*s**4 - 29 + 4/5*s**5 + 4/5*s**2 + 0*s. Let q(l) = 0. What is l?
-1, -2/5, 0
Let y = 85 - 93. Let q be (y/(-6) + -1)/(34/68). Find i, given that 0 - 6*i - q*i**3 - 4*i**2 = 0.
-3, 0
Factor -15*h**4 + 4*h**5 - 500*h**2 + 504*h**2 - 19*h**3 + 31*h**3.
h**2*(h - 2)**2*(4*h + 1)
Factor 2/9*c**3 + 0 - 4/9*c**2 + 0*c.
2*c**2*(c - 2)/9
Suppose 366/5 - 177/5*c - 186/5*c**2 - 3/5*c**3 = 0. Calculate c.
-61, -2, 1
Let a(d) be the second derivative of d**5/10 + 5*d**4/6 + 7*d**3/3 + 3*d**2 - 427*d. Factor a(m).
2*(m + 1)**2*(m + 3)
Let i(d) be the third derivative of d**5/30 - d**4/6 - 7*d**3/6 - 8*d**2. Let o be i(-3). Find c, given that 10*c**3 - o*c**3 + 4*c**2 - c - c + 11*c**3 = 0.
0, 1
Let m(k) be the second derivative of 0*k**3 - k + 0*k**2 + 30 + 1/18*k**4 + 1/60*k**5. Factor m(w).
w**2*(w + 2)/3
Let c(s) be the third derivative of 1/84*s**4 + 8*s**2 - 1/420*s**6 + 0*s**3 - 1/210*s**5 + 1/735*s**7 + 0*s + 0. Solve c(n) = 0 for n.
-1, 0, 1
Suppose -9*z + 7 + 29 = 0. Factor -36*k**3 - k**4 + 34*k**3 - 2*k**4 + 2*k**z.
-k**3*(k + 2)
Let j(x) be the first derivative of -1/7*x**4 + 2/7*x**2 - 2/21*x**3 - 9 + 2/7*x. Factor j(v).
-2*(v - 1)*(v + 1)*(2*v + 1)/7
Let f = 69 - 59. Find g such that g**2 + 10*g + g - 3*g**2 - 3*g + f = 0.
-1, 5
Let w = -4906/105 - -328/7. Let l(g) be the first derivative of -w*g**3 + 0*g + 10 - 1/5*g**2 + 1/5*g**4. Let l(r) = 0. What is r?
-1/2, 0, 1
Let l be 3 + 1/((-3)/(-27)). Solve o**2 + 4*o + 13*o**2 - 6 - l*o**2 = 0.
-3, 1
Suppose 0 + 26/15*x**3 - 4/3*x**4 + 0*x + 44/15*x**2 - 2/15*x**5 = 0. Calculate x.
-11, -1, 0, 2
Factor 1/2*v**2 + 25/2*v + 12.
(v + 1)*(v + 24)/2
Let n(b) be the second derivative of b**4/78 - b**3/39 - 12*b**2/13 - 114*b. Factor n(a).
2*(a - 4)*(a + 3)/13
Suppose -a - 4 = 2*a + 4*w, 4*w = 4*a - 32. Factor 0*s**4 + 3*s**5 - 376*s**3 + 403*s**3 - 5*s**a - 13*s**4.
3*s**3*(s - 3)**2
Let z = -947 - -947. Let g(t) be the third derivative of 1/60*t**6 + 0*t + 4/3*t**3 + z - 1/3*t**4 - 1/30*t**5 - 10*t**2. Find a such that g(a) = 0.
-2, 1, 2
Let b(j) be the third derivative of -4*j**7/105 - 11*j**6/60 - j**5/3 - j**4/4 - 2*j**2 + 2. Factor b(s).
-2*s*(s + 1)**2*(4*s + 3)
Let q(c) be the third derivative of 1/8*c**4 + 41*c**2 + 0*c + 0*c**3 - 1/30*c**5 + 0 - 1/120*c**6. Solve q(o) = 0 for o.
-3, 0, 1
Let o be (-3 - -1)/(5 + -2 + -4). Factor -2/11*v**o - 8/11*v - 6/11.
-2*(v + 1)*(v + 3)/11
Let z(y) be the first derivative of -4*y**2 + 0*y + 15 - 4*y**3 - 1/2*y**4 + 1/6*y**6 + 3/5*y**5. Find w such that z(w) = 0.
-2, -1, 0, 2
Let h be (-35)/(-30)*-9*2/138. Let y = 183/598 + h. Factor -8/13*k**3 + y - 14/13*k**2 - 4/13*k.
-2*(k + 1)**2*(4*k - 1)/13
Let k(f) = 3*f**2 - 172*f - 181. Let x(y) = -14*y**2 + 861*y + 908. Let b(m) = 11*k(m) + 2*x(m). Factor b(a).
5*(a - 35)*(a + 1)
Let x = -93039/80 + 1163. Let a(r) be the second derivative of 0*r**2 + 0 + 2*r - x*r**5 - 1/24*r**3 + 1/24*r**4. Factor a(k).
-k*(k - 1)**2/4
Let y(l) = -l**5 + 7*l**4 - 5*l**3 + 9*l**2 - 2*l + 2. Let i(o) = -o**4 - 2*o**3 - o**2 - 1. Let n(q) = -2*i(q) - y(q). Solve n(c) = 0 for c.
0, 1, 2
Solve -2/3*g**4 - 7938*g - 966*g**2 - 130/3*g**3 - 12348 = 0.
-21, -2
Suppose 4*x = -3*j - 394, 3*j - 3*x + 389 = -2*x. Let h = j + 132. Factor 1/4*r**3 - 1/4*r - 1/4 + 1/4*r**h.
(r - 1)*(r + 1)**2/4
Factor -2645*i**2 - 18*i**4 + 15*i**3 + 3*i**5 + 2645*i**2.
3*i**3*(i - 5)*(i - 1)
Suppose -41*t = -25*t. Let 5/4*k**5 + 0 + 0*k**3 + t*k + 0*k**2 - 5/4*k**4 = 0. What is k?
0, 1
Let r = -26574/5 - -5316. Suppose 2/15*i**2 - 4/5*i + r = 0. Calculate i.
3
Let v(g) be the first derivative of 0*g**2 + 0*g - 9 + 5/3*g**3. Determine k, given that v(k) = 0.
0
Let v(u) be the first derivative of 5/3*u**3 + 15/4*u**2 - 5/2*u**4 - 5 - 5*u + 0*u**5 + 5/12*u**6. Factor v(k).
5*(k - 1)**3*(k + 1)*(k + 2)/2
Let z(n) be the third derivative of 13*n**7/1260 - n**6/720 + n**2 - 76*n. What is a in z(a) = 0?
0, 1/13
Let v(m) be the second derivative of -m**6/50 + 3*m**5/20 + 7*m**4/10 + m - 1. Factor v(z).
-3*z**2*(z - 7)*(z + 2)/5
Let z be 7 + -3 - 2*(-48)/(-28). Factor z*o - 20/7*o**2 + 16/7*o**3 + 0.
4*o*(o - 1)*(4*o - 1)/7
Let l = 164 + -166. Let v be (l/(-7))/(12/7). Factor -1/6*i**3 + 0 + 1/3*i**2 - v*i.
-i*(i - 1)**2/6
Suppose 5*r = -0 + 10. Let z**2 - 7*z**2 - 14*z**2 + r*z - 7*z = 0. Calculate z.
-1/4, 0
Factor -20/9*h - 1/9*h**2 + 44/9.
-(h - 2)*(h + 22)/9
Let m(v) be the first derivative of v**4/12 + v**3/3 - 3*v**2/2 - v - 29. Let o(z) be the first derivative of m(z). Factor o(y).
(y - 1)*(y + 3)
Let f = -138 - -48. Let l be (-42)/f + (-3)/(-9). What is o in -l*o**3 + 0*o + 0 + 2/5*o**4 + 2/5*o**2 = 0?
0, 1
Let g be -3 - (0 + (-286)/(-5)). Let i = -60 - g. Let 0 - i*z**2 + 2/5*z = 0. What is z?
0, 2
Suppose 5*r - 25 = 5*s, 16*s + 8 = 3*r + 20*s. Factor 0*x + 0*x**2 + 3/4*x**r + 0*x**3 + 3/4*x**5 + 0.
3*x**4*(x + 1)/4
Let j(m) be the third derivative of m**7/105 + 9*m**6/20 + 13*m**5/2 + 169*m**4/12 - 30*m**2 + 6. Factor j(b).
2*b*(b + 1)*(b + 13)**2
Let b(i) be the second derivative of 28*i**6/135 - 97*i**5/90 - 11*i**4/3 - 83*i**3/27 - 10*i**2/9 - 6*i + 24. Find q, given that b(q) = 0.
-1, -2/7, -1/4, 5
Let c(z) = 2*z**2 - 7*z. Let p(r) = 2*r**2 - 6*r. Let b(a) = -4*c(a) + 5*p(a). Let d be b(2). Find l such that 0 - 2/7*l - 6/7*l**d + 6/7*l**2 + 2/7*l**3 = 0.
-1, 0, 1/3, 1
Let q be (-20)/(-100)*45*4/10. Solve -12/5*r**4 - 3/5*r**5 - 3/5*r - q*r**3 - 12/5*r**2 + 0 = 0.
-1, 0
Let n(p) be the first derivative of -p**4/4 - p**3 + 77. Suppose n(s) = 0. What is s?
-3, 0
Let d = -3 - -9/2. Let w(n) = 310*n + 4963. Let c be w(-16). Factor d*z**2 - 3/2*z + 3/2*z**c + 0 - 3/2*z**4.
-3*z*(z - 1)**2*(z + 1)/2
Let r(x) be the second derivative of -x**4/42 - 2*x**3/21 + 77*x. Determine h, given that r(h) = 0.
-2, 0
Let k(z) = -2*z**4 + 5*z**3 - 6*z**2 - 3*z. Let p(l) = -l**4 + l**3 - l**2 - l. Let b(w) = 4*k(w) - 12*p(w). Factor b(c).
4*c**2*(c - 1)*(c + 3)
Let w(q) be the third derivative of -q**8/672 + q**7/70 - 13*q**6/240 + q**5/10 - q**4/12 + 360*q**2. Factor w(d).
-d*(d - 2)**2*(d - 1)**2/2
Suppose -4*t = -2*j, -9*j + 8*j - 3*t + 15 = 0. Let q(u) be the first derivative of -18*u**2 - 3/4*u**4 - j*u**3 - 10 - 24*u. Determine c so that q(c) = 0.
-2
Suppose 5*t = -2*j + 660, -308 = -2*t + 5*j - 15. Suppose -t*v + 4 = -133*v. Let 1/4*l + l**v + 0 - l**2 - 1/4*l**3 = 0. Calculate l.
-1, 0, 1/4, 1
Let f(m) = m**3 + m**2 + m - 1. Let o = 9 - 8. Let s be f(o). Suppose 21*a**s + 3*a**5 + 27*a**3 + 8*a + 0*a**4 - 2*a + 15*a**4 = 0. Calculate a.
-2, -1, 0
Let h(g) = -114*g - 3 - 3 + 105*g + 5*g**2. Let j(n) = n - 1. Let k(w) = h(w) - 6*j(w). Factor k(c).
5*c*(c - 3)
Let h(u) be the second derivative of 5/4*u**4 - 1/2*u**6 + 9*u + 0*u**3 + 0*u**2 + 0 + 2*u**5. Let h(d) = 0. Calculate d.
-1/3, 0, 3
Let z = 183 + -188. Let r be (12/21)/(z/(-105)*6). Determine x so that -1/5*x**4 + 0*x + 0 + 0*x**r - 1/5*x**3 = 0.
-1, 0
Let p be 366/3843 - (-20)/231. Factor -2/11*a**2 + 4/11 + p*a.
-2*(a - 2)*(a + 1)/11
Solve 2/7*c**3 + 0 - 4/7*c**2 + 8*c**4 + 0*c = 0.
-2/7, 0, 1/4
Let b(n) = -n**2 + n + 1. Let j(h) = 15*h**2 + 37*h - 11. Suppose -3*p = -2 + 5, 5*i - 3*p - 8 = 0. Let k(r) = i*j(r) - 5*b(r). Factor k(y).
4*(y + 2)*(5*y - 2)
Let h(g) be the second derivative of g**6/240 - g**5/80 - g**4/32 + g**3/12 + g**2/4 - 248*g. Solve h(n) = 0.
-1, 2
Let b be 13/91 - (-166)/14. Let a be 32/b + 4/3. Let -4/7 + 6/7*z**2 - 2/7*z**a - 2/7*z**3 + 2/7*z = 0. What is z?
-2, -1, 1
Let l(m) = 13*m - 17. Let i(u) = 7*u - 8. Let n(w) = -7*i(w) + 4*l(w). Let s be n(5). Factor -9*t**2 + 