9, 0
Let h be (((-20)/(-16))/(-5))/(25/(-40)). What is t in -h - 32/5*t**2 - 16/5*t = 0?
-1/4
Let c(g) be the first derivative of 3*g**5/20 + 3*g**4 + 59*g**3/4 + 33*g**2/2 - 29. Factor c(k).
3*k*(k + 1)*(k + 4)*(k + 11)/4
Let o be ((3 + -3)/(-4))/(6/3). Let a(u) be the first derivative of 1/20*u**4 - 7 - 1/15*u**3 + 0*u + o*u**2. Find w, given that a(w) = 0.
0, 1
Let j be -2*(-12 + (21 - 10)). Let 2/5*x - 2/5*x**j + 4/5 = 0. What is x?
-1, 2
Factor -40/7*p + 2/7*p**2 + 200/7.
2*(p - 10)**2/7
Determine a so that 4/9*a + 0 - 2/9*a**2 + 2/9*a**5 + 2/9*a**4 - 2/3*a**3 = 0.
-2, -1, 0, 1
Let j(u) = 10*u**2 + 130*u - 171. Let r(b) = 8*b - 1. Let f(g) = -2*j(g) + 6*r(g). Find w, given that f(w) = 0.
-12, 7/5
Let q(b) be the third derivative of -1/132*b**4 - 1/33*b**3 + 0 + 1/165*b**5 - 10*b**2 + 0*b. Factor q(f).
2*(f - 1)*(2*f + 1)/11
Let p(h) be the first derivative of h**3/12 - h**2/4 - 2*h - 450. Factor p(n).
(n - 4)*(n + 2)/4
Factor -18*f - 1/5*f**2 - 405.
-(f + 45)**2/5
Factor -15*x**4 + 5*x**5 - 40*x + 14*x**2 - 168*x**3 + 158*x**3 + 46*x**2.
5*x*(x - 2)**2*(x - 1)*(x + 2)
Let z be 4/(-10) + (-96)/(-40). What is a in -4*a**2 - 9*a**3 + 13*a**3 - z*a**3 + 2*a + 4 - 4*a**3 = 0?
-2, -1, 1
Let r(x) be the second derivative of 3/2*x**3 + 2*x + x**2 + 0 + 1/60*x**5 - 1/4*x**4. Let v(i) be the first derivative of r(i). Factor v(n).
(n - 3)**2
Let x(u) be the third derivative of u**7/315 - u**6/45 + u**5/30 - 2*u**2 + 171. Factor x(z).
2*z**2*(z - 3)*(z - 1)/3
Suppose -c = 32 - 82. Factor -2*h**4 - 375*h - 3*h**4 - c*h**3 - 12*h**3 - 3*h**3 - 275*h**2.
-5*h*(h + 3)*(h + 5)**2
Let a be (-3)/(-12) + 11/4. Solve -10*w**3 - 4*w**5 - 39 + a*w**5 + 5*w**4 - 5*w + 10*w**2 + 40 = 0 for w.
1
Let x(j) = 3*j**2 - 144*j - 258. Let i(q) = -2*q**2 + 142*q + 257. Let w(n) = -6*i(n) - 5*x(n). What is d in w(d) = 0?
-42, -2
Let y(z) be the first derivative of 1/16*z**4 - 1/12*z**3 - 10 + 0*z + 0*z**2. Factor y(q).
q**2*(q - 1)/4
Suppose 0 = -2*p + 3*k - 2*k - 1, 5*k = 25. Factor -7*o**2 + 11*o**p - o**2 - 3*o.
3*o*(o - 1)
Let n(r) = -r**2 - 12*r - 8. Let b be n(-11). Suppose -12 = b*m - 7*m. Determine y, given that -6*y**2 - 4*y + 3*y**m + 0*y**3 - 4*y**3 - y**3 = 0.
-2, -1, 0
Suppose 0 = 3*x + 2*x. Suppose -3*j - 12 = x, -4*h - h + 56 = -4*j. Factor -h*v**2 + 18 + 28*v + 15*v**2 + 4*v**3 + 13*v**2 - 6.
4*(v + 1)**2*(v + 3)
Let v(a) = -a**2 + 15*a + 4. Suppose -4*w + q = -0*q + 25, 30 = -4*w + 2*q. Let x(s) = -15*s - 5. Let c(p) = w*v(p) - 6*x(p). Suppose c(h) = 0. What is h?
-2, -1
Let u(n) be the second derivative of -n**5/10 - n**4/6 + 16*n**3/3 + 16*n**2 - n - 55. Find l, given that u(l) = 0.
-4, -1, 4
Determine n, given that 25*n**2 + 10*n + 12 - 35*n**2 - 16*n**2 + 4*n**3 = 0.
-1/2, 1, 6
Find z, given that 1/6*z**2 - 1/2*z**3 + 1/2*z - 1/6*z**4 + 0 = 0.
-3, -1, 0, 1
Suppose 0 = 2*x - 11 + 1, -5*x + 325 = 5*w. Suppose 64 - 30*j**3 - 4*j**4 - 17*j**3 + 15*j**3 + 32*j - w*j**2 = 0. What is j?
-4, -1, 1
Suppose -84*g - 77*g = -26*g - 29*g. Determine l so that 1/4*l**4 + 0 - 1/8*l**5 + 0*l**3 + 0*l + g*l**2 = 0.
0, 2
Let o(l) = -15*l**3 + 2094*l**2 - 99426*l + 1557303. Let y(v) = 3*v**3 - 419*v**2 + 19885*v - 311461. Let s(i) = -4*o(i) - 21*y(i). What is n in s(n) = 0?
47
Factor 298*h**2 - 644*h - 8*h**2 - 11*h - 200 + 35*h + 35*h**3.
5*(h - 2)*(h + 10)*(7*h + 2)
Let b be 26/117 + 12130/81576. Let r = -3/412 + b. Suppose r*g - 2/11 + 8/11*g**3 + 14/11*g**2 = 0. Calculate g.
-1, 1/4
Factor 96*n**2 - 342*n**4 + 673*n**4 + 80*n + 36*n**3 - 327*n**4.
4*n*(n + 2)**2*(n + 5)
Factor -30*n**3 - 7*n**4 - 44*n + 8*n**4 - 123*n + 96 + 2*n**4 + 108*n**2 - n.
3*(n - 4)*(n - 2)**3
Let n(o) be the third derivative of 0*o**3 + 0 + 1/90*o**6 + 0*o**4 - 2/45*o**5 + 0*o + 11*o**2. Factor n(b).
4*b**2*(b - 2)/3
Let j(r) be the second derivative of 2*r**2 - 2*r - 23/6*r**3 + 5/2*r**4 + 0 + 9/20*r**5. Factor j(z).
(z + 4)*(3*z - 1)**2
Let y = -97/7 - -100/7. Solve -y*k**3 + 3/7*k + 6/7*k**2 - 6/7 = 0.
-1, 1, 2
Let i(c) be the third derivative of c**7/735 + 17*c**6/105 + 19*c**5/30 + 11*c**4/14 - c**2 + 192*c. Factor i(k).
2*k*(k + 1)**2*(k + 66)/7
Let r(q) = -2*q**2 - 3*q**2 + 114 - 111 + 4*q**2. Suppose 6*z - 45 = z. Let a(j) = -5*j**2 + j + 13. Let t(f) = z*r(f) - 2*a(f). Solve t(l) = 0.
1
Let r(h) be the second derivative of -h**4/60 + h**3/10 - 59*h. Let r(w) = 0. Calculate w.
0, 3
Let i be -8 + (-8 - 1) + 22. Let u(s) be the first derivative of 0*s**2 + 0*s**3 - 3/10*s**4 + 0*s - 7 - 3/25*s**i + 1/10*s**6. Determine z so that u(z) = 0.
-1, 0, 2
Suppose 16 = 12*g - 8*g. Let w be 15/5 - (0 + 1). Factor -n**g + 4*n**w + 3*n - 2*n**2 - 5*n - n**2 + 2*n**3.
-n*(n - 2)*(n - 1)*(n + 1)
Let l(y) be the second derivative of -1/2*y**4 - 11/9*y**3 + 16*y - 2/3*y**2 + 0. Factor l(t).
-2*(t + 1)*(9*t + 2)/3
Let p(w) be the first derivative of w**5/30 - w**4/24 - 2*w**3/3 + 7*w**2/3 - 8*w/3 - 93. Factor p(z).
(z - 2)**2*(z - 1)*(z + 4)/6
Let r(h) be the second derivative of -h**4/28 - h**3/14 - 3*h - 5. Factor r(d).
-3*d*(d + 1)/7
Find o, given that 36*o**2 + 4/7*o**4 - 64/7*o**3 - 368/7*o + 176/7 = 0.
1, 2, 11
Suppose l = 6*l + 5*j - 35, 2*j - 8 = 0. Let -1/3*c**5 - c**4 - c**l + 0*c + 0 - 1/3*c**2 = 0. What is c?
-1, 0
Factor 38/3*z**2 - 10/3*z**4 + 0 + 4/3*z**3 + 8*z.
-2*z*(z + 1)**2*(5*z - 12)/3
Let z(t) be the third derivative of -t**8/231 + 4*t**7/231 + t**6/66 - 3*t**5/22 + 9*t**3/11 + 9*t**2. Factor z(a).
-2*(a + 1)**2*(2*a - 3)**3/11
Let j be 27/9 - (-45)/(-17). Let k be 132/255 - 29/((-2320)/(-32)). Factor 10/17*t**4 - 18/17*t**3 + j*t**2 + 0 + k*t.
2*t*(t - 1)**2*(5*t + 1)/17
Suppose 5*y = 3*m - 37, 0*m - 5*m - 5 = 5*y. Let i = y + 21. Factor 6*c**4 + 6*c**2 - 5*c**2 + 22*c**3 + 6*c**2 - i - 24*c + 5*c**2.
2*(c - 1)*(c + 2)**2*(3*c + 2)
Suppose 0 = -29*w - 19*w + 23*w - 18*w. Factor -1/3*h**2 + w + 1/3*h - h**3 + 5/3*h**4 - 2/3*h**5.
-h*(h - 1)**3*(2*h + 1)/3
Let y(q) be the second derivative of 5*q**7/42 - 5*q**6/6 - 3*q**5/2 + 55*q**4/6 + 185*q**3/6 + 75*q**2/2 - 266*q. Determine v so that y(v) = 0.
-1, 3, 5
Let a(z) be the second derivative of -z**4/12 + 25*z**3/3 + 99*z + 2. Factor a(n).
-n*(n - 50)
Suppose 3*v - 6 = -0*v. Let x be v/(-11) - (-276)/66. Factor 7*z**4 - x*z**3 + 4*z**2 - 19*z**4 + 4*z**2.
-4*z**2*(z + 1)*(3*z - 2)
Let s be 6/(-5)*((-30)/(-9))/(-1). Determine c so that 16*c**4 - 13*c**3 - s*c**5 + 64*c**2 - 56*c**2 - 7*c**3 = 0.
0, 1, 2
Suppose -4*n**4 - 34*n**3 - 163*n**2 + 355*n - 576 + 122*n**3 - 225*n**2 - 1411*n = 0. What is n?
-1, 12
Let w(i) be the third derivative of -i**8/5040 - i**7/840 - i**6/540 + i**3/3 - 4*i**2. Let p(x) be the first derivative of w(x). Factor p(v).
-v**2*(v + 1)*(v + 2)/3
Solve 3/5*s**5 + 24/5*s + 12/5*s**2 + 0 - 18/5*s**3 - 3/5*s**4 = 0.
-2, -1, 0, 2
Suppose -164 = -4*k - 5*y - 0*y, -4*y + 52 = k. Suppose j - 6 = 4*o - k, 2*o - 12 = 2*j. Determine r, given that -4/3*r**4 + 0 - 32/3*r - o*r**3 - 16*r**2 = 0.
-2, 0
Let w(a) be the second derivative of a**4/48 + a**3/3 - 9*a**2/8 + 181*a + 1. Let w(k) = 0. What is k?
-9, 1
Let -10 + 1/4*g**2 - 39/4*g = 0. Calculate g.
-1, 40
Let y(k) = 2. Let z(t) = -t**2 + 282*t - 19885. Let s(j) = -10*y(j) - 5*z(j). Find g, given that s(g) = 0.
141
Let d = 142 - 55. Let q = 437/5 - d. Factor -2/5*z**4 + 4/5*z**3 - 4/5*z + 0*z**2 + q.
-2*(z - 1)**3*(z + 1)/5
Let g(n) be the second derivative of -n**8/420 - n**7/35 - 2*n**6/15 - 4*n**5/15 + 25*n**3/6 + 21*n. Let h(j) be the second derivative of g(j). Factor h(k).
-4*k*(k + 2)**3
Let c be 8056/3445 - 14/6. Let t(r) be the second derivative of 0 + 1/130*r**5 - c*r**6 + 0*r**3 + 0*r**2 - 4*r + 1/39*r**4. Factor t(y).
-2*y**2*(y - 2)*(y + 1)/13
What is a in -32/3*a - 28/3 - 4/3*a**2 = 0?
-7, -1
Let q be (2/3)/((-17)/(-272)). Let t(r) = -r**2 + 6*r + 2. Let o be t(6). Solve -q*a**o - 16/3*a - 2/3 = 0.
-1/4
Suppose u = s - 4, 5*s - 12 = 7*u - 6*u. Factor 0*h - 1/2*h**s + 0 + 1/4*h**3.
h**2*(h - 2)/4
Let n(b) be the third derivative of b**7/1260 - b**6/90 + 11*b**5/360 + b**4/18 - b**3/3 - 3*b**2 + 13. Determine z, given that n(z) = 0.
-1, 1, 2, 6
Suppose 20 + 16 = 6*m. Let a(r) be the third derivative of r**3 - 1/40*r**5 + 1/160*r**m + 0 + 0*r + 3*r**2 - 1/8*r**4. Factor a(n).
3*(n - 2)**2*(n + 2)/4
Let 0*w + 4/5*w**3 - 324/5*w**2 + 0 = 0. What is w?
0, 81
