 + 911. Let g = 205/252 - x. Solve -15/2*q**3 - 15/4*q - 15/2*q**2 - 3/4 - g*q**5 - 15/4*q**4 = 0 for q.
-1
Let q be (637/(-39) - -16) + (-5)/(-14). Let n(h) be the third derivative of -q*h**4 + 0*h + 0*h**3 + 0 - 1/210*h**5 - 11*h**2. Factor n(t).
-2*t*(t + 2)/7
Let t(c) be the first derivative of 0*c**2 + 6 - 1/120*c**4 + 3*c**3 + 0*c + 1/300*c**5 - 1/1800*c**6. Let u(a) be the third derivative of t(a). Factor u(d).
-(d - 1)**2/5
What is z in 146*z**2 + 12*z**4 - 10 + 363*z - z**5 - 246*z + 76*z**3 + 44 = 0?
-2, -1, 17
Let a = -25 + 23. Let m be ((-2)/(0 - 6))/(a/(-2)). Determine g so that 0 + m*g**3 + 0*g - 1/6*g**2 - 1/6*g**4 = 0.
0, 1
Let n(t) be the first derivative of 7/2*t**2 - 16 - 6*t - 1/3*t**3. Factor n(b).
-(b - 6)*(b - 1)
Let b(o) = 16*o - 9*o**2 - 5 - 10*o - 1. Let l(d) = 8*d**2 - 7*d + 5. Let v(c) = 5*b(c) + 6*l(c). Factor v(m).
3*m*(m - 4)
Let h(b) be the second derivative of b**4/21 + 18*b**3/7 + 100*b**2/7 - 3*b - 91. Factor h(c).
4*(c + 2)*(c + 25)/7
Suppose 0 = -4*k - 13 + 29. What is p in -3*p - k*p + 8*p**3 - 4*p**5 + 3*p = 0?
-1, 0, 1
Factor 6*k**4 + 69*k**2 - 1980*k**3 - 29*k + 1914*k**3 + 11*k + 9*k**4.
3*k*(k - 3)*(k - 1)*(5*k - 2)
Let q be 6*(1 - 0)*(-7)/(-21). Factor -2*b**4 - b**2 + 3*b**q - 16*b - 19*b + 4*b**3 + 31*b.
-2*b*(b - 2)*(b - 1)*(b + 1)
Let o = -3 + 6. Suppose 3 = 3*k - o. Determine r so that -22*r**k + r - 5*r - 18*r**3 + 0*r**2 + 0*r**2 = 0.
-1, -2/9, 0
Let w(j) be the first derivative of -8*j + 4/9*j**3 - 10/3*j**2 - 40. Factor w(i).
4*(i - 6)*(i + 1)/3
Let u(t) be the third derivative of 7*t**6/240 + 79*t**5/90 - 79*t**4/36 + 16*t**3/9 - 25*t**2 + 5*t. Factor u(o).
(o + 16)*(3*o - 2)*(7*o - 2)/6
Let i(z) be the second derivative of -z**7/70 - 7*z**6/50 - 33*z**5/100 + 19*z**4/20 + 6*z**3 + 54*z**2/5 - z + 507. Suppose i(w) = 0. What is w?
-3, -2, -1, 2
Solve -24/7*n - 51/7*n**2 - 30/7*n**3 + 0 - 3/7*n**4 = 0.
-8, -1, 0
Let p(a) be the first derivative of -a**5 + 125*a**4/2 - 3365*a**3/3 + 3000*a**2 - 2880*a - 79. Find i, given that p(i) = 0.
1, 24
Let c(x) be the second derivative of x**5/50 + x**4/5 - x**3 + 8*x**2/5 + 29*x. What is o in c(o) = 0?
-8, 1
Let v(r) be the first derivative of 2/5*r**3 - 2/25*r**5 + 0*r**2 - 36 - 1/5*r**4 + 0*r. Factor v(y).
-2*y**2*(y - 1)*(y + 3)/5
Factor 4/5*w**2 - 8/5*w + 8/5*w**3 + 0 - 4/5*w**4.
-4*w*(w - 2)*(w - 1)*(w + 1)/5
Suppose 5*a**4 - 859*a - 5*a**5 + 30*a**2 + 10*a**4 - 321 + 280*a**3 - 136*a + 981 + 15*a**4 = 0. What is a?
-4, -3, 1, 11
Let t(a) be the first derivative of -47 + 1/7*a**4 + 30/7*a**2 - 12/7*a**3 - 4*a. Let t(r) = 0. What is r?
1, 7
Let l(m) = -m**4 - m**3 - 21*m**2 - 21*m. Let h(t) = -2*t**2 - 2*t. Let x(b) = 22*h(b) - 2*l(b). Factor x(w).
2*w*(w - 1)*(w + 1)**2
Let r = -346 + 353. Let w(i) = i**2 + 3*i + 5. Let n be w(4). Determine b, given that -r*b**2 + b**2 - 15*b**5 - n*b**4 - 3*b**4 - 27*b**3 = 0.
-1, -2/5, 0
Factor -25 + 1/6*s**2 - 25/6*s.
(s - 30)*(s + 5)/6
Let a(t) be the third derivative of -t**7/63 - 17*t**6/180 - 7*t**5/30 - 11*t**4/36 - 2*t**3/9 - 45*t**2. Determine c so that a(c) = 0.
-1, -2/5
Let c(z) be the second derivative of 1/14*z**7 - 9/2*z**2 + 1/2*z**3 - 3/10*z**6 + 3/2*z**4 - 8*z + 0 - 3/10*z**5. Solve c(q) = 0.
-1, 1, 3
Let h(o) be the third derivative of 49*o**6/24 + 7*o**5 + 15*o**4/2 - o**2 + 16. Factor h(y).
5*y*(7*y + 6)**2
Suppose b = -3*p + 5*b + 306, -6 = 2*b. Let l be (92/(-14))/((-56)/p). Find f such that -l*f**4 - 4*f + 0 + 14*f**2 + 3*f**3 + 7/2*f**5 = 0.
-1, 0, 2/7, 2
Let u(i) be the second derivative of -i**5/20 - 3*i**4/2 - 16*i**3 - 64*i**2 + 50*i. Factor u(f).
-(f + 2)*(f + 8)**2
Let v(j) be the second derivative of j**5/60 - 5*j**4/6 + 19*j**3/6 - 14*j**2/3 + 2*j - 23. Factor v(f).
(f - 28)*(f - 1)**2/3
Let i(g) be the first derivative of -80*g - 20*g**4 - 1 + 40*g**2 - 5/6*g**6 + 40/3*g**3 + 7*g**5. Factor i(h).
-5*(h - 2)**4*(h + 1)
Let v(f) be the second derivative of f**5/50 + f**4/8 + f**3/5 - f**2/5 - 114*f. Let v(d) = 0. What is d?
-2, 1/4
Suppose 3*s - 8 = 5*s + 4*g, -g = -4*s + 11. Suppose 1/2*m + 3/4*m**5 + 1/4*m**s + 0 - 5/4*m**3 - 1/4*m**4 = 0. Calculate m.
-1, -2/3, 0, 1
Let t(w) be the first derivative of -11 - 16/15*w**3 + 6/5*w**4 + 0*w**2 + 1/15*w**6 - 12/25*w**5 + 0*w. Factor t(h).
2*h**2*(h - 2)**3/5
Let v be (0 + 0/(-2)*(68 - 67))*1. Determine b so that 0*b - 40/3*b**2 + 16*b**5 + 92/3*b**3 + v + 260/3*b**4 = 0.
-5, -2/3, 0, 1/4
Let h be 5*(-2)/(-28) + (-168)/588. Let s(z) be the first derivative of 0*z + 1/28*z**4 - 1/21*z**3 + 1/35*z**5 + 10 - h*z**2. Factor s(i).
i*(i - 1)*(i + 1)**2/7
Suppose -740*v - 7390 - 15902 - 5327 - 5*v**2 + 1239 = 0. What is v?
-74
Suppose 2*c + 3*l - 25 = 1, -3*l = -3*c - 6. What is y in 2/15*y**5 - 8/15*y**3 - 4/15 + 2/5*y + 4/15*y**2 + 0*y**c = 0?
-2, -1, 1
Let b(g) be the first derivative of g**4/2 - 8*g**3/3 + 3*g**2 - 57. Factor b(l).
2*l*(l - 3)*(l - 1)
Let f = 94680/7 + -13525. Find n such that -3/7 - 1/7*n**3 - f*n**2 - n = 0.
-3, -1
Let f(p) be the first derivative of -14*p**5/65 + 3*p**4/26 + 56*p**3/13 + 76*p**2/13 - 96*p/13 + 452. Suppose f(h) = 0. What is h?
-2, 3/7, 4
Let u(v) be the third derivative of v**7/735 - v**6/60 + 2*v**5/105 + v**4/7 - 115*v**2. Factor u(j).
2*j*(j - 6)*(j - 2)*(j + 1)/7
Factor 0 - 4/9*t**2 + 0*t - 4/9*t**3.
-4*t**2*(t + 1)/9
Suppose -29 + 29 = -26*k. Let j(i) be the second derivative of -1/15*i**3 + k + 1/60*i**4 + 0*i**2 + 1/100*i**5 - 2*i. Solve j(a) = 0.
-2, 0, 1
Let p(n) be the first derivative of 1/6*n**3 + 1/4*n**2 - 8 - 1/8*n**4 - 1/2*n. Find i, given that p(i) = 0.
-1, 1
Suppose -3*n + 4*z = -28, -76*z + 74*z = -3*n + 20. Determine r so that -12*r**2 - 9/4*r - 45/4*r**3 - 3*r**n + 3/2 = 0.
-2, -1, 1/4
Factor -28/11*w - 18/11*w**2 + 0 - 2/11*w**3.
-2*w*(w + 2)*(w + 7)/11
Factor -87*q**2 - 16 + 2*q**4 - 12*q + 103*q**2 + 12*q**3 - 2.
2*(q - 1)*(q + 1)*(q + 3)**2
Let g = -3734 - -3736. Factor -1/3*y**g + 5/3 - 4/3*y.
-(y - 1)*(y + 5)/3
Let l = -5029 + 20119/4. What is k in 0*k - l*k**3 + 0 + 3/2*k**2 = 0?
0, 2
Let l be (-2)/((-4)/(-2)) - -1. Let s be 10/(-8)*183/(-305). Factor 0*b + s*b**3 + 3/4*b**4 + 0*b**2 + l.
3*b**3*(b + 1)/4
Let x(u) = 35*u**2 + 75*u + 20. Let a(y) = y**2 + 2*y + 1. Let n(o) = 10*a(o) - x(o). Factor n(b).
-5*(b + 2)*(5*b + 1)
Let f(z) = z**2 + 16*z + 33. Let b be f(-16). Suppose 35*x - b*x - 4 = 0. Suppose -4/5*r - 2/5*r**x - 2/5 = 0. Calculate r.
-1
Let l(d) be the third derivative of d**7/70 + 7*d**6/10 - 91*d**5/20 + 31*d**4/4 - 222*d**2. Suppose l(u) = 0. What is u?
-31, 0, 1, 2
Let u = 188 - 186. Let d(g) be the first derivative of 1/4*g + 1/8*g**2 - 1/6*g**3 + u. Solve d(n) = 0 for n.
-1/2, 1
Let t(h) be the third derivative of -1/720*h**6 + 0*h**3 + 0*h + 1/144*h**4 + 0 + 0*h**5 - 21*h**2. Find l such that t(l) = 0.
-1, 0, 1
Let d(t) be the third derivative of 16*t**2 - 98/3*t**3 + 0 + 7/3*t**4 - 1/15*t**5 + 0*t. Factor d(n).
-4*(n - 7)**2
Let z = -2693/2 - -30973/23. Let j = z + 8/23. Determine p, given that j*p**2 + p + 0 = 0.
-2, 0
Let k(i) be the third derivative of -i**7/12600 - i**6/1200 - i**5/300 + 5*i**4/24 + 15*i**2. Let d(x) be the second derivative of k(x). Factor d(r).
-(r + 1)*(r + 2)/5
Let t(z) be the third derivative of -z**7/525 + z**6/50 + 58*z**2. Suppose t(i) = 0. What is i?
0, 6
Let t(q) be the third derivative of q**6/200 - 24*q**5/5 + 1920*q**4 - 409600*q**3 - 4*q**2 + 4*q. Factor t(o).
3*(o - 160)**3/5
Let z(r) = -7*r**3 - r**2 + 2*r - 6. Let o(x) be the third derivative of -x**6/120 - x**3/6 + 28*x**2. Let j(k) = 30*o(k) - 5*z(k). Factor j(i).
5*i*(i - 1)*(i + 2)
Let s(d) = -18*d**4 + 167*d**3 - 2015*d**2 + 8160*d - 10404. Let v(a) = 10*a**4 - 84*a**3 + 1008*a**2 - 4080*a + 5202. Let m(c) = 4*s(c) + 7*v(c). Factor m(n).
-2*(n - 17)**2*(n - 3)**2
Let g(n) be the first derivative of n**6/4 - 21*n**5/10 + 9*n**4/8 + 31*n**3/2 + 15*n**2 - 155. Suppose g(a) = 0. Calculate a.
-1, 0, 4, 5
Let u(c) = -32 + 3*c - 11 + 10 - 30. Let m be u(21). Solve -2/7*v**2 + m + 2/7*v**4 + 0*v**3 + 0*v = 0 for v.
-1, 0, 1
Let z(b) be the second derivative of 3/17*b**3 - 1/170*b**5 - 5/17*b**2 + 30*b - 1/34*b**4 + 0. Find l, given that z(l) = 0.
-5, 1
Let t(p) be the second derivative of 5*p**6/6 + 31*p**5/4 + 103*p**4/4 + 75*p**3/2 + 27*p**2 - 10*p. Factor t(k).
(k +