+ 1)/5
Let v = -2/321 + 712/11235. Let h(q) be the first derivative of -2/21*q**3 + 1/7*q**2 - 1/14*q**4 + 0*q + v*q**5 - 6. Factor h(o).
2*o*(o - 1)**2*(o + 1)/7
Let b(c) = -3*c**3 + 2*c**3 + 2 - 1. Let z = -1035 - -1037. Let v(q) = 14*q**2 + 16*q - 30. Let l(a) = z*v(a) - 4*b(a). Factor l(y).
4*(y - 1)*(y + 4)**2
Let s(t) = -t**2 - 38*t + 317. Let g be s(7). Let d(f) be the first derivative of 2/27*f**3 + 4/9*f + 1/3*f**g + 11. Find y, given that d(y) = 0.
-2, -1
Let z(v) be the third derivative of v**5/30 - 3*v**4/8 - 7*v**2. Let f be z(5). Factor 7*c**2 - c - 5*c**2 - c**f - c**4 + 0*c**4 - 1 + 2*c**3.
-(c - 1)**2*(c + 1)**3
Let i = 124/561 - 7/34. Let p(g) be the second derivative of 1/165*g**6 + 0*g**5 - 5*g + 0*g**3 + 0 - i*g**4 + 0*g**2. Find u such that p(u) = 0.
-1, 0, 1
Suppose 80*s - 81*s = 0. Let d(a) be the third derivative of 1/120*a**4 + 0 - 1/300*a**5 - 6*a**2 - 1/600*a**6 + s*a + 1/30*a**3. Let d(r) = 0. Calculate r.
-1, 1
Let k(s) be the first derivative of -2*s**6/3 - 4*s**5 - 9*s**4 - 28*s**3/3 - 4*s**2 - 17. Solve k(w) = 0.
-2, -1, 0
Let z(y) = -3*y**3 - 30*y**2 + 4*y. Let p(d) = d**3 + 6*d**2 - d. Let k(a) = 4*p(a) + z(a). Factor k(j).
j**2*(j - 6)
Suppose 0 = 4*d - 3*j + 3 - 29, -34 = -2*d + 5*j. Factor 0*c**d + c**4 - 3/2*c**3 + 0 + 1/2*c.
c*(c - 1)**2*(2*c + 1)/2
Suppose b - 5*y - 1 - 24 = 0, -36 = -2*b - 4*y. Determine k, given that -2*k**3 - 14*k**2 - 3*k - k + b*k**2 = 0.
0, 1, 2
Let t(p) = 6*p**2 - 12*p + 5. Let x(f) = -5*f**2 + 11*f - 4. Let u(m) = -4*t(m) - 5*x(m). Factor u(o).
o*(o - 7)
Let v(n) = -2*n. Let l(c) = -c**2 - 8*c + 3. Let q(j) = -2*j**2 - 15*j + 7. Let u(k) = 7*l(k) - 3*q(k). Let x(f) = 4*u(f) - 22*v(f). Find y such that x(y) = 0.
0
Suppose -3*y + 5*q - 21 = 0, -5*q + 36 = -153*y + 155*y. Solve -3/4*w**4 - y*w**2 + 0*w + 0 + 15/4*w**3 = 0 for w.
0, 1, 4
Let m be (-364)/(-84)*4/26. Factor m*q - 4/15 + 2/15*q**3 - 8/15*q**2.
2*(q - 2)*(q - 1)**2/15
Let m(a) be the first derivative of a**6/360 + a**5/60 - a**4/8 - 19*a**3/3 - 16. Let c(z) be the third derivative of m(z). Factor c(h).
(h - 1)*(h + 3)
Let c(d) be the first derivative of -4*d - 4/3*d**3 + 0*d**2 - d**4 - 2 + 2/5*d**5. Let u(q) be the first derivative of c(q). Factor u(b).
4*b*(b - 2)*(2*b + 1)
Let j(p) = -7*p**2 + 15*p + 38. Let u(t) = -t**2 - 1. Let h(i) = -j(i) + 4*u(i). Factor h(c).
3*(c - 7)*(c + 2)
Let f be ((-1 + 2)*0/(-1))/2. Let z(u) be the third derivative of 6*u**2 + 1/60*u**5 + 0*u + 0*u**4 + f*u**3 + 0. Let z(i) = 0. Calculate i.
0
Let w(j) = j**3 + 8*j**2 - 21*j - 8. Let y be w(-10). Suppose -5*q - 2*u - 9 = -21, -q + 4 = y*u. What is n in 1/4*n - 1/4*n**3 + 0 + 0*n**q = 0?
-1, 0, 1
Factor 24 + 28 + 21*d - d**2 - 13 + 13 - 6.
-(d - 23)*(d + 2)
Let c be 2*9/21 + (-2820)/(-33558). Let 46/17*q**2 + 24/17 + 2/17*q**4 - 56/17*q - c*q**3 = 0. What is q?
1, 2, 3
Suppose 0 = -8*r + 3*r - 85. Let y = r - -19. Factor 64*h - 5*h**y + 21*h**2 + 20 - 4*h + 9*h**2.
5*(h + 2)*(5*h + 2)
Let a be 0/(-3*(-12)/(-9)). Let s = -1778/5 + 356. Factor -v**3 + s*v**2 + 3/5*v + a.
-v*(v - 1)*(5*v + 3)/5
Let m(h) be the second derivative of h**4/48 - 9*h**3/4 - 55*h**2/8 + 191*h. Determine p, given that m(p) = 0.
-1, 55
Let p = 1284609/295826 + 310/2507. Let a = p + 2/59. Factor -a - 3/2*d**2 - 6*d.
-3*(d + 1)*(d + 3)/2
Let m(a) be the first derivative of 25*a**4/4 + 2540*a**3/3 + 64005*a**2/2 - 26010*a - 3. Factor m(l).
5*(l + 51)**2*(5*l - 2)
Let d(u) be the second derivative of 44*u + 0 + 0*u**2 - 1/75*u**6 + 1/15*u**3 - 1/60*u**4 - 1/20*u**5. Determine y, given that d(y) = 0.
-2, -1, 0, 1/2
Let k(w) be the second derivative of w**7/1260 + w**6/90 + w**5/15 + w**4/2 + w. Let d(b) be the third derivative of k(b). Factor d(q).
2*(q + 2)**2
Suppose d - 3*y - 9 = 0, -d - 3*y + 5 = -4*y. Let b be 1/(-9)*-6*6. Factor -d*r + 4*r**3 - 2*r**5 + r + 2 - b*r**2 - 23*r**4 + 25*r**4.
-2*(r - 1)**3*(r + 1)**2
What is z in 608/5*z**2 + 128/5 + 112*z**4 + 49/5*z**5 + 1432/5*z**3 - 752/5*z = 0?
-8, -2, 2/7
Let 9/5*u - 12/5 + 3/5*u**2 = 0. What is u?
-4, 1
Let c(m) be the first derivative of -m**6/8 + m**5/10 - 13*m**2 - 42. Let r(p) be the second derivative of c(p). Factor r(z).
-3*z**2*(5*z - 2)
Let v(m) be the first derivative of -2*m**4/11 + 113*m**3/33 - 7*m**2/11 + 56. Factor v(y).
-y*(y - 14)*(8*y - 1)/11
Let t(u) be the first derivative of -u**3/12 - 13*u**2/8 - 15*u/2 - 158. Factor t(s).
-(s + 3)*(s + 10)/4
Let d(v) be the second derivative of -v**4/6 - 16*v**3/3 + 17*v**2 + 110*v - 2. Suppose d(s) = 0. Calculate s.
-17, 1
Let z be (1/(-3))/(-4 - 188/(-48)). Let q(j) be the second derivative of 0*j**5 - 1/26*j**z + 2/39*j**3 + 0*j**2 + 1/195*j**6 + 0 + 2*j. Factor q(r).
2*r*(r - 1)**2*(r + 2)/13
Suppose 11*w + 4*m - 60 = 0, 23 = 2*w + m + 11. Factor 48 + w*b**2 - 2/9*b**3 - 24*b.
-2*(b - 6)**3/9
Let s(g) be the first derivative of -4/3*g**3 + 0*g - 1 - 2*g**2. Suppose s(t) = 0. What is t?
-1, 0
Let a(c) be the first derivative of -2*c**5/5 + c**4/2 + 2*c**3 - 5*c**2 + 4*c + 142. Factor a(l).
-2*(l - 1)**3*(l + 2)
Let d(t) be the first derivative of 9*t**4/8 + 5*t**3/2 + 7*t**2/4 + t/2 - 110. Let d(v) = 0. What is v?
-1, -1/3
Let i be (-72)/(-6 + 2)*(-42)/140 + 6. Let 0*a + i*a**2 - 3/5*a**3 + 0 - 3/5*a**4 + 3/5*a**5 = 0. Calculate a.
-1, 0, 1
Let i(l) be the second derivative of -1/18*l**4 + 0 - 1/9*l**2 - 1/18*l**5 + 16*l + 4/135*l**6 + 5/27*l**3. Suppose i(x) = 0. Calculate x.
-1, 1/4, 1
Let i be 276/132 - 2/22. Let l(d) be the second derivative of -i*d + 0 - 1/42*d**4 - 1/7*d**3 + 0*d**2. Factor l(w).
-2*w*(w + 3)/7
Let o be -1 + (3 + 1)*1. Let h = -2 + 4. Solve 0*r - 3*r**4 - 2*r**o - h*r**2 + 6*r**2 + 1 - r**5 - 2*r**2 + 3*r = 0 for r.
-1, 1
Suppose 4*p - 5 - 7 = 0. Suppose 0 = p*b - 12. Let 0*l + 0 - 2*l**3 + 0*l + 6*l + b = 0. Calculate l.
-1, 2
Let q be (-1)/2*144/(-117). Let n = -46/117 + q. Suppose -2/9*x - n*x**3 + 0 - 4/9*x**2 = 0. What is x?
-1, 0
Let l(p) be the first derivative of 2*p**3/33 + 9*p**2/11 + 28*p/11 + 30. Factor l(a).
2*(a + 2)*(a + 7)/11
Let r be 286/2431 + 1 + 23/(-51). Factor -8/3*s + r*s**3 + 2/3*s**2 - 8/3.
2*(s - 2)*(s + 1)*(s + 2)/3
Let o(h) be the first derivative of 3/4*h**2 + 1/6*h**3 + 0*h + 12. Find w, given that o(w) = 0.
-3, 0
Let o be 0*((-7)/28*-8)/(-6). Let d(l) be the second derivative of 19/6*l**4 - 3/2*l**5 - 13*l + o + 0*l**3 - 4*l**2. Determine c so that d(c) = 0.
-2/5, 2/3, 1
Let j(b) be the second derivative of -b**5/20 - b**4/6 - b**3/2 - 3*b**2 - 24*b. Let o be j(-2). Factor -2/3*p**3 + o + 2/3*p**2 + 2/9*p**4 - 2/9*p.
2*p*(p - 1)**3/9
Let p = 171 - 169. Let w(l) be the third derivative of 1/60*l**4 + 1/840*l**8 + 0 + 0*l**7 + 0*l**5 - 1/150*l**6 + 0*l + p*l**2 + 0*l**3. Factor w(n).
2*n*(n - 1)**2*(n + 1)**2/5
Let h(p) be the second derivative of p**4/21 - 164*p**3/21 + 3362*p**2/7 + p - 22. Factor h(m).
4*(m - 41)**2/7
Let a be 12/((-1)/((-4)/6)*1). Suppose -20 = -7*j + a. Factor 97/3*b**2 - 139/3*b**3 - 32/3*b - 25/3*b**5 + 95/3*b**j + 4/3.
-(b - 1)**3*(5*b - 2)**2/3
Let n(g) = g**2 + g + 1. Let a(h) = -43*h**3 + 83*h**2 - 9*h - 5. Let f(q) = -3*a(q) - 15*n(q). Factor f(c).
3*c*(c - 2)*(43*c - 2)
Let n(a) be the first derivative of a**4/24 - 11*a**3/2 + 280. Factor n(x).
x**2*(x - 99)/6
Let q = -6393 - -1022883/160. Let i(w) be the second derivative of 1/4*w**3 - 1/8*w**4 + 0 + 0*w**2 + 10*w + q*w**5. Find h, given that i(h) = 0.
0, 2
Let x(l) = l**3 + 4*l**2 - 6*l - 6. Let m be 1/(-2)*(-168)/12. Let n(f) = f**3 + 4*f**2 - 7*f - 7. Let u(t) = m*x(t) - 6*n(t). Solve u(b) = 0 for b.
-4, 0
Suppose -46 = -c + 104. Let p = c - 297/2. Factor -a + 1/2*a**5 + 1/2*a**4 - p*a**3 - 5/2*a**2 + 0.
a*(a - 2)*(a + 1)**3/2
Suppose -3*g - 11*g = 0. Let j(p) be the first derivative of -4/21*p**3 + g*p - 1/7*p**2 + 4 - 1/14*p**4. Suppose j(f) = 0. Calculate f.
-1, 0
Let j(w) be the second derivative of w**6 - 23/3*w**4 + 6/5*w**5 + 0 - 4/21*w**7 - 9*w**2 - 16*w**3 + 23*w. Suppose j(b) = 0. What is b?
-1, -1/4, 3
Suppose -n + 6*n + 3*d - 19 = 0, 4*d + 8 = 0. What is k in -1 + 2 - n*k - 11 + 5*k**2 = 0?
-1, 2
Factor 4*o**3 + 8*o**2 - 63*o + 63*o.
4*o**2*(o + 2)
Let s(f) be the first derivative of -8/5*f - 12 - 2/15*f**3 + f**2. Factor s(h).
-2*(h - 4)*(h - 1)/5
Let y(m) = 25*m**2 + 30*m - 1. Let s be -1 + 30/(-35)*(-