se 12 + h*q - 3/5*q**2 = 0. What is q?
-2, 10
Factor -5 + 4*r**2 - 50 - 42 - 28*r - 79.
4*(r - 11)*(r + 4)
Let k(w) be the second derivative of 2/15*w**5 - 1 + 47/54*w**4 - 4/9*w**2 + 2*w + 44/27*w**3. Determine h, given that k(h) = 0.
-2, 1/12
Let f(l) be the first derivative of l**5/150 - l**4/15 + 32*l**2/15 - 31*l - 244. Let q(m) be the first derivative of f(m). Let q(o) = 0. Calculate o.
-2, 4
Let f(x) = -12*x**2 - 174*x. Let a(c) = -34*c**2 - 520*c. Let u(q) = 5*a(q) - 14*f(q). Determine l, given that u(l) = 0.
-82, 0
Let d(h) be the second derivative of 0*h**4 + 5/12*h**7 + 0*h**2 + h**6 + 0*h**3 - 2*h + 0 - 1/2*h**5. Factor d(l).
5*l**3*(l + 2)*(7*l - 2)/2
Let c be ((-40)/(-48))/((-4)/(-24)). Find m, given that m**3 + 19*m - 10*m**2 - c*m**3 - m**3 - 4*m = 0.
-3, 0, 1
Let k(r) be the first derivative of 3*r**5/10 - 5*r**4/2 - 107*r**3/18 + 15*r**2/2 - 8*r/3 + 989. What is g in k(g) = 0?
-2, 1/3, 8
Let o be -6*(-151 + 4) + 2 + -5. Let g = o + -877. Let 1/4*k - 1/4*k**3 - 1/4*k**g + 1/4 = 0. What is k?
-1, 1
Determine o, given that 487*o**3 + o**4 - 169*o**3 - 166*o**3 + o**4 - 164*o**3 + 20*o + 6*o**2 = 0.
-1, 0, 2, 5
Factor -66*s**2 - 1/4*s**3 - 525/4*s - 131/2.
-(s + 1)**2*(s + 262)/4
Factor -33720*m**3 + 5*m**4 + m**4 + 3*m**4 + 15907644832261 + 85277880*m**2 - 95852337120*m - 4*m**4 + 24494115263819.
5*(m - 1686)**4
Let l(w) = -9*w**3 + 32*w**2 - 17*w - 52. Let u(n) = 2*n**3 - n**2 + n + 1. Let y(i) = -l(i) - 2*u(i). Solve y(c) = 0.
-1, 2, 5
Let i(h) = -11*h**3 - 403*h**2 - 6048*h + 31109. Let w(v) = -17*v**3 - 604*v**2 - 9072*v + 46664. Let j(l) = 8*i(l) - 5*w(l). Let j(f) = 0. What is f?
-36, 4
Let h(i) be the first derivative of -2*i**5/35 + 10*i**4/7 - 44*i**3/21 - 780*i**2/7 - 3042*i/7 + 7001. Factor h(v).
-2*(v - 13)**2*(v + 3)**2/7
Let n = 8/4511 - -4471/22555. What is z in -n*z**4 + 0*z**2 + 16/5*z + 16/5 - 4/5*z**3 = 0?
-2, 2
Let d be (-7)/14 + (-14)/(-4). Factor 3*x**4 - 28*x**2 - 7*x**4 + 24*x**d + 4*x**2 - 4*x**3.
-4*x**2*(x - 3)*(x - 2)
Let s(a) = 4*a**2 - a. Suppose -4*t - 100 = 5*r, -5*t - 3*r - 19 = 106. Let i(m) = -105*m**2 + 475*m - 10125. Let b(k) = t*s(k) - i(k). Factor b(y).
5*(y - 45)**2
Let x(m) be the first derivative of 225*m + 106 + 15*m**2 + 1/3*m**3. Factor x(i).
(i + 15)**2
Let w = -400931/3 + 133645. Suppose -2/3*g**3 - w*g - 2*g**2 + 0 = 0. Calculate g.
-2, -1, 0
Let c(i) be the first derivative of 2*i**5/5 - 45*i**4/2 + 324*i**3 + 2916*i**2 - 104976*i + 5089. Factor c(l).
2*(l - 18)**3*(l + 9)
Suppose 0 = -0*w + 2*w - 4. Let q be (2 + -1)*-6*5/(-3). Find a such that -9*a**w + q*a - 18*a**3 - 4*a**4 - 3*a**3 + 15*a**5 - 4*a + 13*a**4 = 0.
-1, 0, 2/5, 1
Let o(c) = -14*c**4 - 127*c**3 - 22*c**2 + 73*c - 27. Let y(w) = -7*w**4 - 63*w**3 - 12*w**2 + 36*w - 12. Let a(b) = -4*o(b) + 9*y(b). Factor a(s).
-s*(s + 1)*(s + 8)*(7*s - 4)
Let d be (-195)/(-90) + (-2)/(24/(-10)). Factor -d - 1/2*c + 1/6*c**2.
(c - 6)*(c + 3)/6
Let c(z) be the second derivative of 35*z + 1/20*z**5 - 1/42*z**7 + 0 + 0*z**3 + 1/15*z**6 - 1/6*z**4 + 0*z**2. Suppose c(i) = 0. Calculate i.
-1, 0, 1, 2
Let w be (-6 - 0)/2 - (-136)/8. Let z = -12 + w. What is q in -6*q - 37*q**2 + 3*q**3 + 3*q - 34*q**2 + 63*q**z = 0?
-1/3, 0, 3
Let p(m) be the second derivative of m**4/6 + 130*m**3 + 1326*m. Find r, given that p(r) = 0.
-390, 0
Let d(b) be the second derivative of -b**6/24 - b**5/4 + 25*b**4/16 + 145*b**3/12 + 25*b**2 + 486*b. Let d(k) = 0. What is k?
-5, -2, -1, 4
Let t(b) = -6*b**3 - 3*b**2 + 2*b - 6. Suppose 34*n - 45 = 25*n. Let f(z) = -1 + z + 0*z**3 + 0*z**3 - z**3. Let x(u) = n*f(u) - t(u). Factor x(w).
(w + 1)**3
Solve 4*y**5 + 2438035 - 2438035 + 4*y - 8*y**3 = 0.
-1, 0, 1
Suppose 0 = 76*a - 323*a - 96*a + 1715. Factor 243/2 - 37/2*s**4 - 603*s**2 + 324*s + 2/3*s**a + 526/3*s**3.
(s - 9)**3*(s - 1)*(4*s + 1)/6
Let c(u) be the second derivative of -u**4 - 16*u - 8/3*u**3 + 2 + 2/5*u**5 + 8*u**2 + 2/15*u**6. Let c(k) = 0. What is k?
-2, 1
Let i = -2476 - -2479. Let f(g) be the third derivative of 0*g**i + 0*g - 1/30*g**5 + 1/4*g**4 + 0 + 19*g**2. What is d in f(d) = 0?
0, 3
Let p(x) be the third derivative of -2*x**2 + 32/735*x**7 + 0*x - 6/7*x**3 + 13/14*x**4 + 4 - 1/30*x**6 + 1/147*x**8 - 43/105*x**5. Solve p(n) = 0.
-3, 1/2, 1
Let x(q) = -q**3 + 26*q**2 - 31*q + 150. Let c be x(25). Solve -6 - 39*m - 13*m - 20*m**2 + c - 14 - 52*m = 0 for m.
-5, -1/5
Suppose -s + 2*m = -51, -4*s + 0*m + 2*m = -180. Let k = s + -41. Find b such that -4*b + 9*b**3 - 3*b**2 + b + 10*b**2 - b**k = 0.
-1, 0, 1/3
Let k(d) be the second derivative of -18*d - 5/12*d**4 - 125/6*d**2 + 25/6*d**3 + 1/60*d**5 + 0. Factor k(u).
(u - 5)**3/3
Let m(l) = 7 + 12*l + l**3 + l**3 + 25 - 7*l**2 - 3*l**3. Let a be m(-8). Factor 0 + 1/5*b**2 + a*b + 2/5*b**3.
b**2*(2*b + 1)/5
Let j(q) be the second derivative of 13/18*q**3 - 81 + 0*q**2 + 1/36*q**4 + q. Factor j(w).
w*(w + 13)/3
Let -3*j**3 - 12 + 8194*j - 8210*j + 11*j**3 + 20*j**2 = 0. What is j?
-3, -1/2, 1
Solve -510*c + 17*c**3 - 6656 - 13*c**3 - 2754*c - 384*c**2 = 0.
-4, 104
Let v(t) be the first derivative of t**6/30 - 8*t**5/15 - 223*t**2/2 - 214. Let c(b) be the second derivative of v(b). Determine k, given that c(k) = 0.
0, 8
Let r be 410/4 + 9/6 + -5. Find s such that 7*s**4 - r*s**3 + 18*s**3 + 8 + 37*s**3 - 46*s + 75*s**2 = 0.
2/7, 1, 4
Let w be -3 - -24 - (-124 - -143). Let f(y) be the third derivative of -30*y**w + 0*y**5 + 0*y**3 + 1/480*y**6 + 0 - 1/24*y**4 + 0*y. Factor f(t).
t*(t - 2)*(t + 2)/4
Let m(y) = -y**2 - 7*y + 3071. Let b be m(52). Determine k so that 8/7*k + 0 - 2/7*k**b + 6/7*k**2 = 0.
-1, 0, 4
Let p(t) = -101*t**2 - 192*t - 19. Let g(w) = -248*w**2 - 385*w - 37. Let x(l) = -2*g(l) + 5*p(l). Factor x(b).
-(b + 21)*(9*b + 1)
Let k(m) be the third derivative of 11*m**7/2100 + 4*m**6/75 + 29*m**5/200 + 13*m**4/120 - 2*m**3/15 + 85*m**2 - 1. Suppose k(r) = 0. What is r?
-4, -1, 2/11
Suppose -5*y + 406*g - 411*g = 5, 4*g = -20. Factor -37/5*f**2 - 2*f**3 - 12*f - 36/5 - 1/5*f**y.
-(f + 2)**2*(f + 3)**2/5
Let f(d) be the third derivative of 9*d**8/70 + 12*d**7/35 - 59*d**6/100 - 29*d**5/25 + 23*d**4/20 - 2*d**3/5 + 374*d**2 - 1. Solve f(u) = 0.
-2, -1, 1/6, 1
Determine p so that 5184 - 85*p + 212*p**4 - 2144*p**2 + 4533*p + 1368*p + 325*p**3 + 1384*p - 2101*p**3 - 6*p**5 = 0.
-2, -2/3, 2, 18
Let n(h) be the third derivative of h**8/112 - 2*h**7/35 - 7*h**6/10 - 8*h**5/5 + 492*h**2. Find m such that n(m) = 0.
-2, 0, 8
Let z(j) = 3*j**2 + 8*j - 7. Let p be z(-4). Suppose 27*t**4 - 15*t**4 - 15*t**2 - 9*t**4 + p*t + 0*t**2 + 3*t**3 = 0. Calculate t.
-3, 0, 1
Let y(h) be the third derivative of h**8/30240 + h**7/630 + h**6/54 - 9*h**5/10 - h**2 - 15*h. Let o(x) be the third derivative of y(x). Factor o(l).
2*(l + 2)*(l + 10)/3
Let z(b) = -4*b**2 - 3*b + 4. Suppose -x = 5*v + 13, -3*x + 16 = -4*v - 2. Let w(f) = -x + 7*f + f - 10 + 11*f**2. Let m(y) = 3*w(y) + 8*z(y). Solve m(a) = 0.
-2, 2
Determine x so that 702*x**2 - 441*x + 455*x - 340*x**2 = 0.
-7/181, 0
Let -2*b**5 + 6/7*b**3 + 22/7*b**4 + 8/7*b + 0 - 22/7*b**2 = 0. Calculate b.
-1, 0, 4/7, 1
Let k = -3559/5 - -712. Solve -k*x**2 + 6/5 + x = 0.
-1, 6
Let i(m) be the first derivative of -3/5*m**2 + 38/45*m**3 + 0*m - 114 - 11/30*m**4 + 2/75*m**5. Let i(a) = 0. Calculate a.
0, 1, 9
Let k = 46312/93 - 498. Let o = 118/279 - k. Find m, given that 2/9*m**2 + 2/9*m - o = 0.
-2, 1
Suppose -93 = -96*s + 99. Let l(k) be the first derivative of 1/6*k**4 + 5/3*k**s - 19 + 8/9*k**3 + 4/3*k. Factor l(t).
2*(t + 1)**2*(t + 2)/3
Let k(t) be the first derivative of t**4/4 - 2*t**3/3 - 31*t**2/2 - 28*t + 1522. Suppose k(p) = 0. Calculate p.
-4, -1, 7
Let r(a) be the first derivative of 4*a**3/3 + 926*a**2 - 10032. Let r(y) = 0. What is y?
-463, 0
Let h be (66/18 - 3)*6 + (-13)/(-3). Factor 13/2*c**3 + 109/12*c**2 - 65/3*c + 3/4*c**4 + h.
(c + 5)**2*(3*c - 2)**2/12
Let o(g) = -35*g**2 + 6405*g - 2041590. Let q(w) = -2*w**2 + w + 1. Let y(u) = -o(u) + 15*q(u). Factor y(r).
5*(r - 639)**2
Let s = 8142 + -8142. Let p = 92/61 - 1/122. Let s*h**4 + 0*h + 0*h**2 + p*h**5 - 3/2*h**3 + 0 = 0. What is h?
-1, 0, 1
Let a(c) = c**2 - 11*c - 3. Let r be a(10). Let n = r + 17. Factor 5*k**n - 38*k**3 + 34*k**3 - 3*k**4.
2*k**3*(k - 2)
Let u = 4736 + -113653/24. Let q(o