4*(z + 6)**2
Let d(t) = 2*t + 13. Let b be d(-3). Let p be (3/(-7))/(b + (-93)/12). Let p*l + 2/7*l**2 + 0 = 0. What is l?
-2, 0
Let a(i) be the third derivative of -i**8/168 + 32*i**7/105 - 11*i**6/2 + 484*i**5/15 + 1331*i**4/12 - 56*i**2 - 2. Factor a(m).
-2*m*(m - 11)**3*(m + 1)
Let v(w) be the second derivative of 0*w**2 - 3/10*w**6 + 6*w - 2/7*w**7 + 0*w**3 + 3/20*w**5 + 0*w**4 + 0. Suppose v(k) = 0. What is k?
-1, 0, 1/4
Suppose -4*d - 700 = -5*l + d, -140 = -l + 3*d. Solve -2*b - l - 4*b - b**2 + 140 = 0 for b.
-6, 0
Let w = -14 - -55. Determine g so that -80*g**2 + w*g**2 + 41*g**2 = 0.
0
Let r(m) be the first derivative of m**5/5 + 7*m**4/4 + 14*m**3/3 + 4*m**2 + 78. Factor r(t).
t*(t + 1)*(t + 2)*(t + 4)
Let j = 369 - 1106/3. Let w(r) be the first derivative of -1/3*r**2 + 1/6*r**4 - 1/15*r**5 + 1 + j*r + 0*r**3. Factor w(v).
-(v - 1)**3*(v + 1)/3
Let h = 64 + -62. Solve 5*k**h - 30*k**4 - 27*k**4 + 52*k**4 = 0 for k.
-1, 0, 1
Factor 0*k + 2*k**2 + 0*k**3 + 0 - 3/2*k**4 + 1/2*k**5.
k**2*(k - 2)**2*(k + 1)/2
Let o(t) be the third derivative of t**6/10 + 9*t**5/20 - 5*t**4/4 - 3*t**3/2 + 104*t**2 - 1. Let o(v) = 0. Calculate v.
-3, -1/4, 1
Suppose -4*r + 4*h + 114 = 2*h, -5*r = 2*h - 138. Let j(q) = -2*q**3 - 31*q**2 - 17*q - 1. Let a be j(-15). What is v in 2*v**2 + 0*v**2 - a*v**3 + r*v**3 = 0?
0, 2
Let i(l) = l**2 + 12*l + 20. Let k be i(-10). Factor 1/3*f**3 + k*f**2 - 1/3*f + 1/6*f**4 - 1/6.
(f - 1)*(f + 1)**3/6
Let b(s) = 6*s**3 + 2*s - 3. Let h be b(1). Factor 9*p**2 + 7 + h - 25*p**3 + 19*p**3 - 11*p**4 + 24*p + 8*p**4.
-3*(p - 2)*(p + 1)**2*(p + 2)
Suppose -235*k + 1826*k - 280*k - 12 + 279*k**2 - 288*k - 471*k = 0. What is k?
-2, 2/93
Let d be ((-2)/52)/(-1)*8. Suppose 4*p + 3*c = -4, -7*c + 2*c = p + 18. Determine g so that -2/13*g**p + 6/13*g - d = 0.
1, 2
Let w be (-3)/6 + 350/60 + -4. Let c(z) be the first derivative of 0*z**2 - 9/2*z**4 + w*z**3 + 0*z + 7 + 24/5*z**5 - 5/3*z**6. Factor c(i).
-2*i**2*(i - 1)**2*(5*i - 2)
Let t(x) be the second derivative of x**5/150 + x**4/20 + 11*x**2/2 - x. Let s(m) be the first derivative of t(m). Solve s(w) = 0.
-3, 0
Let o(z) = -z + 4. Let x(n) = -n + 3. Let u(t) = 5*o(t) - 6*x(t). Let g be u(2). Factor g*d**3 + 12*d - 19*d**3 + 13*d**2 - 37*d**2.
-3*d*(d + 2)*(5*d - 2)
Let d = 2719 + -8156/3. Find w such that -d*w**2 - 2/3*w + 0 = 0.
-2, 0
Let l(s) = -46*s**2 + 46*s. Let j be l(1). Factor -3/2*o + j - 1/2*o**2.
-o*(o + 3)/2
Let x(q) be the first derivative of q**7/210 + q**6/30 + q**5/12 + q**4/12 - 8*q**2 - q - 54. Let s(v) be the second derivative of x(v). Factor s(l).
l*(l + 1)**2*(l + 2)
Let y(p) be the first derivative of 3*p**5/5 + 6*p**4 - 21. Factor y(h).
3*h**3*(h + 8)
Suppose 1025*y = 1067*y - 126. Suppose 1/2*n**4 - 2*n**3 + y*n**2 + 1/2 - 2*n = 0. What is n?
1
Let t be (-50)/(-20)*(-12)/30*-2. Factor 0 - 3/5*n**t + 3/5*n.
-3*n*(n - 1)/5
Let c(f) be the third derivative of 0 + 1/15*f**4 + 3*f**2 + 1/60*f**5 + 2/15*f**3 + 1/600*f**6 + 0*f. Let c(u) = 0. Calculate u.
-2, -1
Let u = 967 - 963. Let r(k) be the second derivative of k**3 + 1/4*k**u + 0*k**2 - 3/20*k**5 + 0 - 4*k. Factor r(s).
-3*s*(s - 2)*(s + 1)
Suppose -s = -3*u + u - 4, 11 = 4*s - 3*u. What is x in 3*x - 3*x - 6*x**3 - 8*x**2 + s*x - 4*x = 0?
-1, -1/3, 0
Let y(m) be the third derivative of -m**4/8 - 5*m**3/6 + 7*m**2. Let g be y(-3). Factor 2*z**4 + 2*z**4 - 3*z**3 + 12*z - 4 + g*z**2 - 4 - 9*z**3.
4*(z - 2)*(z - 1)**2*(z + 1)
Let w(v) be the third derivative of v**6/30 - 7*v**5/15 + 11*v**4/6 - 10*v**3/3 + 45*v**2. Factor w(u).
4*(u - 5)*(u - 1)**2
Let x(y) be the first derivative of -25*y**6/3 - 37*y**5 - 85*y**4/2 + 55*y**3/3 + 65*y**2 + 40*y - 370. Determine d, given that x(d) = 0.
-2, -1, -1/2, 4/5
Let q(f) be the second derivative of -f**6/6 + f**5 - 5*f**4/4 + 19*f - 2. Factor q(j).
-5*j**2*(j - 3)*(j - 1)
Factor 13/4*j**2 + 0*j + 7/2*j**3 + 1/4*j**4 + 0.
j**2*(j + 1)*(j + 13)/4
Let v = 67 - 64. Factor -2*a**v + 6 - 20*a + 20*a**2 - 2*a**3 + 2 - 4*a**2.
-4*(a - 2)*(a - 1)**2
Factor -2*f**3 - 20/7*f**2 + 2/7*f + 8/7.
-2*(f + 1)**2*(7*f - 4)/7
Let l(a) = -a**4 + 2*a**3 - 6*a**2 - 23*a. Let m(c) = -3*c**2 - c. Let u(f) = -4*l(f) + 20*m(f). Factor u(k).
4*k*(k - 3)*(k - 2)*(k + 3)
Solve 8*q**2 - 23/3*q - 7/3*q**3 + 2 = 0.
3/7, 1, 2
Let r(a) be the third derivative of a**6/360 + a**5/9 - 23*a**4/72 - 7*a**3/3 + 284*a**2. Determine i, given that r(i) = 0.
-21, -1, 2
Let w be 14/6 - (12/(-6))/(-6). Suppose -18 - 9 = -3*p. Suppose -9 - 9*g + 3*g**w + p = 0. What is g?
0, 3
Let k(l) be the third derivative of l**8/336 + l**7/70 - 3*l**6/40 + l**5/12 + 69*l**2. Factor k(g).
g**2*(g - 1)**2*(g + 5)
Let r = -10 + 13. Factor 3*u + 6 - u + 3*u**r - 11*u.
3*(u - 1)**2*(u + 2)
Suppose 0 = -4*m - 4*h + 88, -h = 2*m - 39 - 0. Suppose -p = 0, m - 5 = 4*g + 4*p. Suppose 0 + 0*n + g*n**2 + 3/2*n**3 = 0. What is n?
-2, 0
Let k(u) = -3*u**4 + 45*u**3 - 158*u**2 - 324*u + 1948. Let h(o) = -9*o**4 + 135*o**3 - 475*o**2 - 972*o + 5843. Let i(y) = -4*h(y) + 11*k(y). Solve i(w) = 0.
-3, 6
Factor -2/3*u**3 + 10/3*u**2 + 0 - 4*u.
-2*u*(u - 3)*(u - 2)/3
Let c = 4064 - 8127/2. What is s in 49/2 + c*s**2 - 7*s = 0?
7
Solve -256/9 - 160/3*g - 25*g**2 = 0 for g.
-16/15
Let g(h) be the third derivative of 5/2*h**4 - 1/2*h**6 - 22*h**2 - 1/6*h**7 + 0*h - 10/3*h**3 + 0 + 11/12*h**5. Determine b, given that g(b) = 0.
-2, -1, 2/7, 1
Let h(t) be the first derivative of -t**6/288 - 4*t**3 - 3. Let j(z) be the third derivative of h(z). Factor j(b).
-5*b**2/4
Let -67/2*c + 49/6*c**3 + 203/6*c**2 + 15/2 = 0. Calculate c.
-5, 3/7
Let j = 10 - 7. Factor 214*q**2 - 219*q**2 + 2*q**3 - 7*q**j.
-5*q**2*(q + 1)
Let d be 8/12*(0 - -9). Suppose j - 6 = 3*a, -8*j = -3*j + 4*a - 11. Factor -m**2 - d*m + m**j + 6*m.
m**2*(m - 1)
Let y be 1 - -6 - (5 + -13)/(-2). Let s be 3/2 + y/2. Factor -2/9*r**4 + 0 - 2/3*r**2 + 2/3*r**s + 2/9*r.
-2*r*(r - 1)**3/9
Let a(h) = 14*h**4 - 3*h**3 + 10*h**2 + 3*h - 14. Let f(x) = -3*x**4 - x**3 + x + 1. Let o(c) = a(c) + 5*f(c). Factor o(b).
-(b - 1)**2*(b + 1)*(b + 9)
Let x(v) = -6*v**2 - 82*v - 122. Let u(t) = -t**2 - 8*t - 1. Let q(f) = -15*u(f) + 3*x(f). Factor q(z).
-3*(z + 3)*(z + 39)
Let w(x) be the first derivative of x**4/8 + 16*x**3/3 + 64*x**2 - 81. Determine h, given that w(h) = 0.
-16, 0
Let a be (5 + -7)/(-1 + (-10)/(-14)). Suppose -4 = a*d - 32. Factor 0 + 4/5*w + 0*w**2 - 8/5*w**d - 12/5*w**3.
-4*w*(w + 1)**2*(2*w - 1)/5
Suppose 28*c - 6*c**2 - c**3 + 12 - c**3 + 6*c**3 + 26*c**2 = 0. Calculate c.
-3, -1
Suppose 4*j - 253 - 3*j**2 - j**2 + 277 = 0. Calculate j.
-2, 3
Let c(q) be the first derivative of -q**7/280 - q**6/10 - 6*q**5/5 - 8*q**4 + 3*q**3 - 11. Let v(d) be the third derivative of c(d). Factor v(o).
-3*(o + 4)**3
Let i(m) be the first derivative of 9 - 1/33*m**3 + 1/330*m**5 + 0*m + 0*m**4 - 4*m**2. Let t(y) be the second derivative of i(y). Find o such that t(o) = 0.
-1, 1
Let d(o) be the third derivative of 2*o**7/735 + o**6/210 - 2*o**5/35 - 2*o**4/21 + 16*o**3/21 + 39*o**2. Determine j so that d(j) = 0.
-2, 1, 2
Let c(d) be the third derivative of d**7/5040 - d**6/288 + d**5/40 - d**4/8 + 6*d**2. Let l(x) be the second derivative of c(x). Find a such that l(a) = 0.
2, 3
Let i(l) = -4*l**3 + 12*l**2 - 2*l - 2. Let q be i(1). What is r in -r + 7/2*r**q + r**3 + 0 - 7/2*r**2 = 0?
-1, -2/7, 0, 1
Let m be 6*2/(-66)*(2 + 20)/(-2). Let 3/7*o**m - 6/7 + 3/7*o = 0. Calculate o.
-2, 1
Let a(s) be the second derivative of 3*s**4/14 + 695*s**3/21 + 22*s**2 - 173*s. Factor a(t).
2*(t + 77)*(9*t + 2)/7
Let y(i) = i**2 + 4*i - 176. Let n be y(0). Let s = -173 - n. Solve -5/3*w**5 + 0 + 0*w - 4*w**4 - 3*w**s - 2/3*w**2 = 0 for w.
-1, -2/5, 0
Let j(y) be the third derivative of y**5/270 + 23*y**4/108 - 26*y**3/9 - 4*y**2 + 23*y. Suppose j(k) = 0. Calculate k.
-26, 3
Let k(r) be the second derivative of -r**6/320 - r**5/16 - 17*r**4/64 - r**3/2 + 37*r**2/2 + 32*r. Let l(f) be the first derivative of k(f). Factor l(s).
-3*(s + 1)**2*(s + 8)/8
Let t = 20 - 15. Suppose 3*g - 3 = -3*w, 7*g + 45 = t*w + 2*g. Factor -w + a + 5 + 0*a**2 + 2*a**2 + a**3.
a*(a + 1)**2
Let p be (-2)/(496/(-64) - 1/4). Let v(s) be the first derivative of -5/8*s**2 + 7 + p*s + 1/3*s**3. Suppose v(b) = 0. Calculate b.
1/4, 1
Let m be -2 