. Let w(c) = 0. Calculate c.
-2, 0
Let p(w) be the third derivative of w**7/1785 + w**6/340 + w**5/170 + w**4/204 - 55*w**2. Factor p(t).
2*t*(t + 1)**3/17
Let q = 2/3837 + 11507/7674. Determine b, given that 0 - 2/3*b + 1/3*b**4 + q*b**3 - 1/2*b**5 + 0*b**2 = 0.
-1, 0, 2/3, 2
Let i(b) = 10*b**4 - 15*b**3 + 30*b**2 - 5*b. Let c(u) = 9*u**4 - 16*u**3 + 29*u**2 - 6*u. Let h(y) = 5*c(y) - 4*i(y). What is p in h(p) = 0?
0, 1, 2
Let a(x) be the first derivative of -x**4/2 - 14*x**3/9 + 23*x**2/3 - 26*x/3 + 269. Factor a(q).
-2*(q - 1)**2*(3*q + 13)/3
Let x(u) = u**3 + 6*u**2 + 2. Let s be x(-6). Find f such that -4*f**3 - s + 2 + 120*f - 8*f**2 - 108*f = 0.
-3, 0, 1
Suppose -3*w = 3*l + 3, 5*w - 2 = -4*l - 4. Find g such that 12*g**3 - 16*g + 4*g**w - 16 - 3*g**3 - 5*g**3 + 0*g**2 = 0.
-2, -1, 2
Let 8/9 - 70/9*t**2 - 70/9*t**3 - 10/9*t**4 - 10/9*t + 8/9*t**5 = 0. What is t?
-1, 1/4, 4
Let h(c) be the third derivative of 0*c + 1/36*c**4 + 7/900*c**6 + 0 + 2/1575*c**7 + 1/45*c**3 + 1/50*c**5 + 39*c**2. Let h(b) = 0. What is b?
-1, -1/2
Suppose 0 = -4*m - 2*w + 10, 0 = 4*m - 4*w - 6 + 2. Let t = 31 - 28. Factor 4*c**4 - m*c**4 + c**4 - 7*c**3 + 9*c**2 - 2*c**3 - t*c.
3*c*(c - 1)**3
Let r(n) be the first derivative of 2*n**5/15 - 5*n**4/6 + 2*n**3 - 7*n**2/3 + 4*n/3 + 33. Factor r(k).
2*(k - 2)*(k - 1)**3/3
What is w in 47*w**2 + 11 + 8*w + 0*w**3 + 5 - 59*w**2 - 2*w**3 + 2*w**4 = 0?
-2, -1, 2
Suppose 4*h - 19 = -11. Factor y + 16 + 2*y**h - 9*y - y**2.
(y - 4)**2
Let i(m) = m. Let z(u) = 27*u**2 + 24*u + 3. Suppose -4 + 1 = -3*q. Let g(y) = q*z(y) + 6*i(y). Factor g(p).
3*(p + 1)*(9*p + 1)
Let z(j) be the first derivative of -65*j**5 + 755*j**4/4 - 175*j**3 + 85*j**2/2 + 10*j + 161. Find p such that z(p) = 0.
-1/13, 2/5, 1
Solve 0*j + 0 - 2/25*j**3 + 176/25*j**2 = 0.
0, 88
Let m be (8785/(-420) + 21)/(1/9). Factor -3/8*g**2 + 0 + m*g.
-3*g*(g - 2)/8
Factor -4/3 - 8/5*h**2 - 2/15*h**3 - 14/5*h.
-2*(h + 1)**2*(h + 10)/15
Let a(m) = -4*m - 11. Let s be a(-6). Let z = s + -11. Factor 7*d**2 - 9*d**4 + 7*d - d + d**2 + 1 - 4*d**5 - z*d**3.
-(d - 1)*(d + 1)**3*(4*d + 1)
Let q(t) = 27*t**3 - 378*t**2 - 87*t + 423. Let k(y) = -7*y**3 + 94*y**2 + 23*y - 106. Let f(i) = 15*k(i) + 4*q(i). Factor f(w).
3*(w - 34)*(w - 1)*(w + 1)
Determine o so that 0 + 8/3*o + 2/3*o**4 + 16/3*o**2 + 10/3*o**3 = 0.
-2, -1, 0
Let q(i) be the second derivative of i**7/126 + 8*i**6/45 + 7*i**5/10 + 10*i**4/9 + 13*i**3/18 + 7*i - 3. Solve q(a) = 0.
-13, -1, 0
Let m(j) be the first derivative of 0*j**3 + 0*j**2 - 3*j**5 + j**6 + 0*j + 3/2*j**4 - 34. Factor m(f).
3*f**3*(f - 2)*(2*f - 1)
Let l = 1619 + -1619. Suppose -2/5*b**3 + l + 2/5*b**2 - 2/5*b**4 + 2/5*b = 0. Calculate b.
-1, 0, 1
Let s be 18 + 396/630*-15. Suppose -90/7*a**3 + 39/7*a**2 + 27/7*a**4 + s*a + 12/7 = 0. Calculate a.
-1/3, 2
Suppose -3 = -10*k + 17. Determine w, given that 2*w**3 - 59*w + 128 + 27*w**k + 219*w + 7*w**2 = 0.
-8, -1
Let k(n) be the first derivative of n**5/3 - 85*n**4/3 + 6110*n**3/9 - 1870*n**2 + 1815*n + 943. What is g in k(g) = 0?
1, 33
Find l such that 32/9*l**2 + 46/9*l + 2/3*l**3 + 4/3 = 0.
-3, -2, -1/3
Let j = 22 + -20. Factor 0*p**4 - j*p**4 + 3*p**4.
p**4
Suppose -2*o = -3*z + 19, 0 = 5*z - 10*z + 2*o + 25. Factor v**5 + 4 - 3*v**4 + 25*v**2 + 16*v + 13*v**4 + 19*v**z - 3*v**4.
(v + 1)**3*(v + 2)**2
Let w = -56240/31 + 1814. Let b = 81/62 - w. Factor b*l**3 - l**4 + 0*l + 0 - 1/2*l**2.
-l**2*(l - 1)*(2*l - 1)/2
Let x(j) be the third derivative of -j**7/315 - 28*j**6/45 - 541*j**5/15 - 1540*j**4/9 - 3025*j**3/9 + 32*j**2. Factor x(t).
-2*(t + 1)**2*(t + 55)**2/3
Suppose 3*s = 18 + 9. Let j = -93 - -102. Factor 0*r**3 + 3 + s*r**3 + 9*r**2 - 6*r**3 + j*r.
3*(r + 1)**3
Factor 26/11*z + 24/11 - 2/11*z**3 + 0*z**2.
-2*(z - 4)*(z + 1)*(z + 3)/11
Let j = 4849/2550 + -2/1275. Let q = j + -7/5. Solve k**4 + 1/2*k**5 + 0 + 0*k + 0*k**2 + q*k**3 = 0.
-1, 0
Let s(a) be the second derivative of -a**4/4 + 57*a**3/2 + 87*a**2 - 62*a. Determine u, given that s(u) = 0.
-1, 58
Let j(d) be the first derivative of 4*d**3/3 + 4*d**2 - 21. Factor j(u).
4*u*(u + 2)
Let o be (1/(-6))/(42/27*118/(-413)). Factor -9/8*i**4 + o*i**5 + 0*i + 0*i**2 - 3/2*i**3 + 0.
3*i**3*(i - 4)*(i + 1)/8
Let i be -4*(1653/(-2552) - (-3)/11). Factor -i*a**2 - 3 - 11/2*a.
-(a + 3)*(3*a + 2)/2
Let g be (299/1521)/(-23)*-18. Factor 6/13*b + 0 - g*b**3 - 4/13*b**2.
-2*b*(b - 1)*(b + 3)/13
Factor -40*k - 2*k**2 + 52*k + 40*k - 338.
-2*(k - 13)**2
Let a = -5 - -1. Let o be (2/1)/(a/(-8)). Factor 0*d**4 - 3*d**4 + d**3 + 4*d**o.
d**3*(d + 1)
Suppose -2*q + 2*d = 128, 6*d = -q + 3*d - 48. Let k be 1 + -3 + q/(-27). Factor -4/9 - k*z**2 + 2/3*z.
-2*(z - 2)*(z - 1)/9
Let r(g) be the first derivative of -g**4/7 + 16*g**3/21 + 24*g**2/7 + 129. Factor r(h).
-4*h*(h - 6)*(h + 2)/7
Factor -52*z**3 + 87*z**3 - 44*z - 10*z**2 + 112 - 33*z**3.
2*(z - 7)*(z - 2)*(z + 4)
Let v be 3/6 - (-1)/2. Let b(w) = 2*w**2 + w. Let k be b(v). Find z, given that 6 - z**2 + 2*z**2 + 3 + 9*z - k*z = 0.
-3
Suppose 3*c**2 - 57*c + 20*c**3 + 4*c**4 - 7*c**2 + 37*c = 0. Calculate c.
-5, -1, 0, 1
Let j = -3358 - -13433/4. Let s be 11/4 - (-1)/4. Factor -3*l**2 + 12*l + j*l**s - 16.
(l - 4)**3/4
Let r(k) be the first derivative of -3*k**6/55 + 12*k**5/55 - 13*k**4/66 + 2*k**3/33 - 10*k - 1. Let z(c) be the first derivative of r(c). Factor z(n).
-2*n*(n - 2)*(3*n - 1)**2/11
Let x(s) = s**2 + 39*s + 60. Let l(c) = c**2 + 79*c + 120. Let j(n) = -4*l(n) + 9*x(n). Factor j(a).
5*(a + 3)*(a + 4)
Let f(a) = -a**2 - a + 4. Let s be f(0). Suppose -s*h + 0*h = -24. Let -5*m**2 + h*m**5 - 2*m**2 - 4*m**4 - 6*m**3 + 11*m**2 + 0*m**5 = 0. Calculate m.
-1, 0, 2/3, 1
Let 13*f**4 - 2*f**5 + 162*f + 11*f**4 + 216*f**2 - 324*f - 108*f**3 = 0. What is f?
0, 3
Let t(i) be the second derivative of 2/9*i**3 + 23/20*i**5 - 34*i + 0*i**2 - 7/9*i**4 - 34/45*i**6 + 0 + 10/63*i**7. Suppose t(x) = 0. Calculate x.
0, 2/5, 1/2, 2
Let z(b) be the first derivative of -11*b**3/15 - 69*b**2/10 - 18*b/5 + 206. Factor z(d).
-(d + 6)*(11*d + 3)/5
Let c(b) be the third derivative of 0 + 1/5*b**6 - 1/28*b**8 - 1/2*b**4 + 2/3*b**3 - 2/15*b**5 + 17*b**2 + 0*b + 2/105*b**7. Solve c(d) = 0 for d.
-1, 1/3, 1
Let x(a) = -7*a - 12. Let k(t) = 4*t + 6. Let l(d) = 5*k(d) + 3*x(d). Let y be l(-9). What is j in 1 + 5/4*j**2 - 4*j + 7/4*j**y = 0?
-2, 2/7, 1
Let g = 115 + -112. Let d(u) be the second derivative of 7/2*u**g + 4*u + 9/2*u**2 + 5/4*u**4 + 0 + 3/20*u**5. Factor d(v).
3*(v + 1)**2*(v + 3)
Let m(z) be the third derivative of -z**6/720 - z**5/240 + 7*z**3/6 - 15*z**2. Let j(k) be the first derivative of m(k). Let j(p) = 0. What is p?
-1, 0
Let l(m) = -7*m**2 + 846*m - 44100. Let f(i) = 22*i**2 - 2540*i + 132300. Let q(n) = 3*f(n) + 10*l(n). Let q(v) = 0. Calculate v.
105
Let q = 2674/1441 + -124/131. Factor q*y**2 + 16/11*y + 8/11 + 2/11*y**3.
2*(y + 1)*(y + 2)**2/11
Let g(h) be the second derivative of 1/27*h**4 + 0 - 1/18*h**5 + 0*h**3 + 4/135*h**6 - 1/189*h**7 + 0*h**2 + 7*h. Factor g(t).
-2*t**2*(t - 2)*(t - 1)**2/9
Let k be 5/(50/34) - 2/5. Let d be 20/65*k/6. Factor -2/13*l + 4/13 - d*l**2.
-2*(l - 1)*(l + 2)/13
Let k(o) be the third derivative of 0*o - 9*o**2 - 18*o**4 + 144*o**3 + 6/5*o**5 - 1/30*o**6 + 0. Suppose k(z) = 0. What is z?
6
Determine w so that 2/3*w**3 + 56/3*w - 16 - 20/3*w**2 = 0.
2, 6
Let r(y) be the second derivative of -26*y - 1/2*y**3 + 0 - 3/4*y**2 - 1/8*y**4. Solve r(l) = 0.
-1
Let l(v) be the first derivative of -v**4/12 - 55*v**3/9 - 107*v**2/6 - 53*v/3 + 190. Factor l(w).
-(w + 1)**2*(w + 53)/3
Let u(p) = 25*p**2 - 765*p + 1045. Let i(q) = 2*q**2 - 64*q + 87. Let h(m) = -35*i(m) + 3*u(m). Factor h(o).
5*(o - 9)*(o - 2)
Let j(m) = -67*m**2 - 113*m - 20. Let l(d) = 34*d**2 + 56*d + 12. Let o(x) = 2*j(x) + 5*l(x). Determine a so that o(a) = 0.
-5/6, -2/3
Let y(l) be the first derivative of -l**4/12 + 4*l**3/9 - 5*l**2/6 + 2*l/3 - 22. Let y(q) = 0. Calculate q.
1, 2
Factor 85*i + 26*i + 3 + 3*i**2 + 105.
3*(i + 1)*(i + 36)
Solve 1/7*a**3 + 0 - 12/7*a - 11/7*a**2 = 0.
-1, 0, 12
Let a(x) be the first derivative of x**5/25 - x**4/10 + x**2/5 - x/5 + 102. Factor a(u).
(u - 1)**3*(u + 1)/5
Factor -27/2 + 6*d**3 + 111/2*d - 60*d**2.
3*(d - 9)*(2*d - 1)**2/2
Let j be 5*(132/50)/(4/10). Let x be 