95 + u**5/165 - u**4 - 24*u. Let f(n) be the third derivative of h(n). Factor f(q).
2*(q + 1)*(q + 2)**2/11
Factor 117*d - 209*d - 10*d**4 + 107*d + 10*d**2 - 20*d**3 + 5*d**5.
5*d*(d - 3)*(d - 1)*(d + 1)**2
Let l be -2 - 10/5 - -13. Factor -4*w**3 + 7*w**3 + l*w - 12*w**2 - 6 + 5*w + w.
3*(w - 2)*(w - 1)**2
What is q in 9*q + 3/2*q**2 + 15/2 = 0?
-5, -1
Let v(a) be the third derivative of -a**7/105 + a**6/30 + 4*a**5/15 - 3*a**2 - 6*a. Factor v(z).
-2*z**2*(z - 4)*(z + 2)
Suppose -3*x + 36 = 30. Factor 4*q**4 + 112*q - 120*q - x*q**2 - 2*q**2 + 8*q**3.
4*q*(q - 1)*(q + 1)*(q + 2)
Let v = -1607 + 3215/2. Suppose v*k**2 + 2 + 2*k = 0. Calculate k.
-2
Suppose 222*b = 18*b + 612. Factor 2/19 - 2/19*z**b + 2/19*z - 2/19*z**2.
-2*(z - 1)*(z + 1)**2/19
Let p be -1 - (-7 - (-4 + 5 - 7)). Factor -16/11*c + p + 40/11*c**2 - 250/11*c**4 + 100/11*c**3.
-2*c*(5*c - 2)**2*(5*c + 2)/11
Solve 8/3*v - 16/9 + 52/9*v**2 - 14/9*v**3 - 4*v**4 - 10/9*v**5 = 0.
-2, -1, 2/5, 1
Let o(l) be the third derivative of l**7/315 - l**6/45 + 2*l**5/45 - 14*l**2 + l. Find u, given that o(u) = 0.
0, 2
Let x(v) be the first derivative of -10*v**2 - 16/5*v**5 + 2/3*v**6 + 2 + 4*v**4 + 8/3*v**3 + 8*v. Let x(y) = 0. What is y?
-1, 1, 2
Let l be (4 + 0 + -4)*1/(-8). Find d such that 12/7*d + l + 8/7*d**2 - 4/7*d**3 = 0.
-1, 0, 3
Let k(u) be the first derivative of u**6/24 - u**4/16 - 64. Factor k(b).
b**3*(b - 1)*(b + 1)/4
Let c(n) = -n**2 + 8*n - 7. Let b be c(5). Factor 201 + 16*a**3 - 201 + a**5 + b*a**4.
a**3*(a + 4)**2
Let i(m) be the third derivative of -m**8/1008 - m**7/126 - 7*m**6/360 + m**5/180 + m**4/9 + 2*m**3/9 - 3*m**2 + 18*m. Let i(d) = 0. Calculate d.
-2, -1, 1
Suppose 0*x - 8*x + 32 = 0. Solve -8*d**x + 42*d**4 - 2*d**3 - 30*d**5 - 2*d**3 = 0.
0, 2/15, 1
Let j(z) be the first derivative of 32/7*z**3 + 64/7*z - 64/7*z**2 - 8/7*z**4 - 12 + 4/35*z**5. Factor j(o).
4*(o - 2)**4/7
Let k be 63/18 - 9/(-6). Let b(o) be the third derivative of -2/15*o**3 + 0*o + 1/30*o**4 - 1/150*o**6 + 1/75*o**5 + k*o**2 + 0. Determine x so that b(x) = 0.
-1, 1
Factor -1 - 5/2*l - 9/2*l**3 + 8*l**2.
-(l - 1)**2*(9*l + 2)/2
Let v = -175/414 + 11/23. Let f(m) be the second derivative of 6*m + 0 + 2/9*m**3 + v*m**4 - m**2. Let f(y) = 0. What is y?
-3, 1
Suppose 0 = 5*a - 5, 466*k - 5*a + 5 = 461*k. Factor 2/11*w**4 + k + 0*w**2 - 4/11*w**3 + 0*w + 2/11*w**5.
2*w**3*(w - 1)*(w + 2)/11
Let u be 65/21 + -3 + (-288)/(-2268). Let h(c) be the first derivative of -5 + 1/3*c**2 + u*c**3 - 2/3*c - 1/6*c**4. Suppose h(n) = 0. Calculate n.
-1, 1
Let y(x) be the second derivative of -x**4/66 - 2*x**3/33 + 24*x**2/11 - 104*x. Factor y(o).
-2*(o - 4)*(o + 6)/11
Let a(z) = 9*z**3 + 4*z**2 + 11*z. Let v = -11 - -5. Let k be 1/v + (-222)/(-36). Let b(r) = 5*r**3 + 2*r**2 + 6*r. Let x(w) = k*a(w) - 11*b(w). Factor x(g).
-g**2*(g - 2)
Let z(x) = 8*x**2 + 61*x - 12. Let t be z(-8). Let p(m) be the second derivative of 0 + 1/18*m**4 + 1/9*m**3 - t*m + 0*m**2. Factor p(f).
2*f*(f + 1)/3
Let n be -2 - 14/(-2) - (-138)/(-30). Factor -n*v - 3/5 + 1/5*v**2.
(v - 3)*(v + 1)/5
Let p(a) = 8*a**3 + 16*a**2 + 8*a - 7. Let d(u) = -2*u + 10. Let v be d(12). Let t(l) = l**3 + l**2 - 1. Let b(x) = v*t(x) + 2*p(x). Factor b(o).
2*o*(o + 1)*(o + 8)
What is u in 7 + 159*u + 9 - 27*u**3 + 102*u**2 + 9 + 16 - 11 = 0?
-1, -2/9, 5
Suppose -32 = o - 34. Suppose 0 = -5*q + o*t - 8, -t + 2*t = 4. What is z in 2*z**3 + 4/5*z**2 + 0 + q*z + 2/5*z**5 + 8/5*z**4 = 0?
-2, -1, 0
Let b(n) = -n**3 + n + 1. Let l be b(2). Let s = l + 9. Let -s*z + 0 + z**2 + 3 + 2 - 2 = 0. Calculate z.
1, 3
Let l = 2650/9 - 294. Suppose -3*a - j + 5 - 4 = 0, 4*a + 3*j = -7. Let 2/9*r**a - l - 2/9*r = 0. Calculate r.
-1, 2
Let a(h) be the third derivative of h**6/360 - 3*h**5/20 + 27*h**4/8 + 5*h**3/6 - 6*h**2. Let n(y) be the first derivative of a(y). Factor n(o).
(o - 9)**2
Let t(u) be the second derivative of -u**6/210 - u**5/70 + u**4/28 + 2*u**3/21 - 2*u**2/7 + 3*u - 56. Solve t(i) = 0.
-2, 1
Suppose -2*h - 30 + 20 = 0. Let w(l) = -19*l**2 - 185*l - 775. Let o(v) = -13*v**2 - 123*v - 517. Let z(s) = h*w(s) + 7*o(s). Find r such that z(r) = 0.
-8
Let d be (-4)/8 + 0 + (-5)/(-2). Suppose -1 = 5*r + 24, -r - d = m. Factor 18/5*v**2 + 4/5 - 2*v**m + 2/5*v**4 - 14/5*v.
2*(v - 2)*(v - 1)**3/5
Let b = 2419 + -26603/11. Let b*k + 4/11 - 2/11*k**3 + 0*k**2 = 0. What is k?
-1, 2
Let p(j) = 21*j**2 + 8*j - 6. Let k(r) = 7*r**2 + 3*r - 2. Let z be 0 - -1*6/(3 + 0). Let i(t) = z*p(t) - 7*k(t). What is q in i(q) = 0?
-1, 2/7
Let j(t) be the first derivative of 1/2*t**4 - 1/6*t**6 + 0*t**3 - 1/2*t**2 + 0*t - 5 + 0*t**5. Find y such that j(y) = 0.
-1, 0, 1
Let j(r) be the first derivative of 2*r**5/15 + 17*r**4/12 + 4*r**3/3 - 55*r**2/2 - 52. Let i(g) be the second derivative of j(g). Let i(t) = 0. What is t?
-4, -1/4
Let j(b) be the second derivative of b**4/18 - 4*b**3/3 - 51*b. Let j(d) = 0. What is d?
0, 12
Let l(y) be the first derivative of -3*y**5/5 + 3*y**4 - 5*y**3 + 3*y**2 + 206. Determine i so that l(i) = 0.
0, 1, 2
Let a(k) = 16*k + 3. Let w be a(9). Let f be 12/w*1/((-8)/(-28)). Factor 0 + 2/7*m**3 - 2/7*m - 2/7*m**4 + f*m**2.
-2*m*(m - 1)**2*(m + 1)/7
Let q(w) be the second derivative of -w**7/42 - w**6/8 + 3*w**5/4 - 25*w**4/24 + 5*w**2 + 16*w. Let n(d) be the first derivative of q(d). What is p in n(p) = 0?
-5, 0, 1
Let f(q) be the first derivative of 3*q**5/5 + 33*q**4/4 + 5*q**3 - 141*q**2/2 + 90*q + 305. Factor f(h).
3*(h - 1)**2*(h + 3)*(h + 10)
Factor -2*v**2 + 3433 - 2*v**2 + 14*v**2 + 3412 - 5*v**2 + 370*v.
5*(v + 37)**2
Let c(o) be the first derivative of 4*o**5/5 + 5*o**4 - 4*o**3/3 - 10*o**2 + 89. What is l in c(l) = 0?
-5, -1, 0, 1
Let d(p) be the second derivative of -p**6/75 + 72*p**5/5 - 6480*p**4 + 1555200*p**3 - 209952000*p**2 - 501*p. Factor d(q).
-2*(q - 180)**4/5
Suppose y = -2*i + 5, i - 15 = 5*y - 8*y. What is o in i*o + 0 + 2/7*o**2 = 0?
0
Let q(l) be the third derivative of -l**6/60 - 113*l**5/30 - 812*l**4/3 - 3136*l**3/3 - 148*l**2 + 2*l. Factor q(t).
-2*(t + 1)*(t + 56)**2
Let y(g) be the first derivative of -66*g**5/5 - 9*g**4/4 + 15*g**3 - 6*g**2 + 104. Let y(o) = 0. Calculate o.
-1, 0, 4/11, 1/2
Let f be (40/44)/(-3 - -1). Let v = f - -7/11. Factor 0*r**2 + 0*r + 0 + 0*r**3 - 2/11*r**4 - v*r**5.
-2*r**4*(r + 1)/11
Let t(d) be the second derivative of -d**5/30 - 7*d**4/9 - 43*d**3/9 - 10*d**2 - 2*d + 2. Factor t(j).
-2*(j + 1)*(j + 3)*(j + 10)/3
Find f, given that 15/4*f - 27 + 3/4*f**2 = 0.
-9, 4
Let s(p) = 4*p + 12. Let h be s(-1). Let a(r) be the first derivative of 2/9*r**3 + r**2 + 4/3*r - h. Let a(q) = 0. Calculate q.
-2, -1
Suppose 0 = -290*r + 296*r. Let f(w) be the third derivative of -1/32*w**4 + 0 - 1/240*w**5 + 1/160*w**6 + 1/420*w**7 + r*w + 2*w**2 - 1/24*w**3. Factor f(i).
(i - 1)*(i + 1)**2*(2*i + 1)/4
Let y(u) = u + 4. Let w be y(0). Factor 31*k**2 + 5 - 52*k - 20*k**5 - 152*k**3 + 3 + 37*k**2 + 88*k**w + 60*k**2.
-4*(k - 1)**4*(5*k - 2)
Let k(o) = -o**3 + 5*o**2 + 9*o - 8. Let r be k(6). Let t = 12 - r. Factor -3*w + w - 2*w - 4*w**t.
-4*w*(w + 1)
Let m(z) be the third derivative of z**6/30 + z**5/24 - z**4/16 - 13*z**2 + z. What is c in m(c) = 0?
-1, 0, 3/8
Let g be ((984/(-10))/4)/(9/(-20)). Suppose -8/3 + 1372/3*l**4 - 364*l**2 + g*l + 2156/3*l**3 = 0. What is l?
-2, 1/7
Let y(h) be the second derivative of -h**4/84 + 32*h**3/21 - 512*h**2/7 + 21*h + 3. Determine a so that y(a) = 0.
32
Suppose -8/15*w**2 + 0 + 2/5*w + 2/15*w**3 = 0. What is w?
0, 1, 3
Let t = -11 - -8. Let r be 0 - t/((-1)/(-1 + 0)). Determine f so that 1/4*f**r + 1/4 - 1/4*f**2 - 1/4*f = 0.
-1, 1
Let k be 12/4 - (-2)/10*0. Let y be 2/(-10) + 7/35. Factor y + 2/3*t**2 + 0*t - 1/3*t**k.
-t**2*(t - 2)/3
Factor 359*w**2 + 5*w**4 - 3*w**4 - 3*w + 8*w**3 + 3*w - 353*w**2.
2*w**2*(w + 1)*(w + 3)
Let w(m) be the second derivative of -m**5/20 - 31*m**4/12 - 56*m**3/3 - 54*m**2 - 60*m + 4. Solve w(c) = 0 for c.
-27, -2
Let f(g) be the second derivative of -g**4/30 - 18*g**3/5 - 729*g**2/5 - 4*g. Solve f(l) = 0.
-27
Let b(n) = -12*n**2 + n**3 - 5*n**3 - 449 + 449 + 6*n. Let f(l) = l**3 + 4*l**2 - 2*l. Let v(a) = 3*b(a) + 10*f(a). Factor v(p).
-2*p*(p - 1)**2
Let l(m) be the first derivative of -m**6/6 + m**5/2 - 39*m + 10. Let f(k) be the first der