 2/7, 1
Let t = 21/2420 - -28893/16940. Factor 0 + 3/7*n**2 + t*n.
3*n*(n + 4)/7
Let s(q) = -70*q + 1123. Let c be s(16). Let t(j) be the second derivative of 0*j**2 - 1/11*j**4 + 1/33*j**c + 9/110*j**5 + 0 + j. Determine d so that t(d) = 0.
0, 1/3
Let r be 0 + 0 - (-408)/68. Let l(g) be the third derivative of 0 - 1/360*g**6 - r*g**2 + 1/72*g**4 - 1/18*g**3 + 1/180*g**5 + 0*g. Factor l(q).
-(q - 1)**2*(q + 1)/3
Let n be (-29 + (-18102)/(-630))*(-115)/3*1. Factor -50/9 - 8/3*g**3 - n*g**2 - 40/3*g - 2/9*g**4.
-2*(g + 1)**2*(g + 5)**2/9
Let j(p) be the second derivative of 45*p**7/14 + 12*p**6 + 21*p**5/2 - 25*p**4/3 - 65*p**3/6 + 10*p**2 + 798*p. Suppose j(s) = 0. What is s?
-4/3, -1, 1/3
Let a = -1103/14 + 9955/126. Let -a*p + 2/9*p**2 - 4/3 = 0. Calculate p.
-2, 3
Let m(t) be the second derivative of 0*t**4 + 1/2*t**5 - 5/6*t**3 - 5/42*t**7 + 0*t**2 + 0 + 0*t**6 - 6*t. Determine d, given that m(d) = 0.
-1, 0, 1
Let h(f) be the third derivative of -f**5/30 + 2*f**4/3 + 3*f**3 - 116*f**2. Let h(u) = 0. Calculate u.
-1, 9
Let f(m) = -m. Let c(l) = -l**2 + 2*l + 2. Let h = 1 - 0. Let w(b) = -b**2 - 5*b - 3. Let k be w(-4). Let n(v) = h*c(v) + k*f(v). Factor n(g).
-(g - 2)*(g + 1)
Suppose -4*f + 16 = 0, 5*s + f = 6*s - 6. Let g be (0/1)/((1 - s)/(-9)). Factor -4/5*p**2 + g + 1/5*p**3 + 4/5*p.
p*(p - 2)**2/5
Let s(b) be the second derivative of -b**4/4 - 8*b**3 - 90*b**2 - 951*b. Suppose s(l) = 0. What is l?
-10, -6
Let t(u) be the second derivative of 184/15*u**3 + 0 - 21*u - 56/3*u**6 - 398/15*u**4 + 793/25*u**5 + 56/15*u**7 - 16/5*u**2. Solve t(k) = 0 for k.
2/7, 1/2, 2
Suppose 0 = 3*s + 2*s - 25. Factor 73*a**2 - 5*a**5 - 5*a**4 - 33*a**2 - 35*a**2 + s*a**3.
-5*a**2*(a - 1)*(a + 1)**2
Solve 2*n**4 + 138/7*n**2 - 144/7*n**3 + 32*n - 72/7 = 0.
-1, 2/7, 2, 9
Factor -4*h**3 - 16*h - 79*h**2 + 100*h + 63*h**2.
-4*h*(h - 3)*(h + 7)
Let o(u) be the first derivative of 2*u**3/57 + 58*u**2/19 - 146. Suppose o(j) = 0. Calculate j.
-58, 0
Let u = 571/660 - 41/60. Factor 32/11*b + u*b**3 + 0 - 16/11*b**2.
2*b*(b - 4)**2/11
Let x(s) be the third derivative of 39*s**5/70 - 17*s**4/12 + 2*s**3/21 + 361*s**2. Find p such that x(p) = 0.
2/117, 1
Let 946/5*j**2 + 2*j**3 + 0 - 76*j = 0. Calculate j.
-95, 0, 2/5
Let w be ((60/25)/6)/((-8)/(-10)). Let l(z) be the first derivative of -16/9*z**3 - 7/3*z**2 - w*z**4 - 5 - 4/3*z. Factor l(s).
-2*(s + 1)**2*(3*s + 2)/3
Let l(r) be the third derivative of r**5/90 + 26*r**4/9 + 2704*r**3/9 + 15*r**2. Suppose l(u) = 0. What is u?
-52
Let z be -6 + (-256)/(-42) + 0. Factor -2/21*d**2 + 2/21*d**3 - 2/21*d**5 + 0 + 0*d + z*d**4.
-2*d**2*(d - 1)**2*(d + 1)/21
Let h(j) be the first derivative of 21*j**5/5 - 15*j**4/4 - 16*j**3 - 6*j**2 + 41. What is b in h(b) = 0?
-1, -2/7, 0, 2
Let a(j) be the first derivative of -j**6/12 - 9*j**5/10 - 25*j**4/8 - 9*j**3/2 - 5*j**2/2 + 500. Determine l so that a(l) = 0.
-5, -2, -1, 0
Let c(a) = 2*a**3 - 2*a**2 - 8*a + 8. Let p(y) = -2*y**3 + 4*y**2 + 7*y - 9. Let k(f) = -3*c(f) - 2*p(f). Determine r, given that k(r) = 0.
-3, 1
Let a(q) be the first derivative of -q**4/10 - 266*q**3/5 - 53067*q**2/5 - 4705274*q/5 - 212. Find f, given that a(f) = 0.
-133
Let f(a) = 6*a**3 - 6*a**2 - 2*a + 2. Let x(s) = s**5 + 12*s**3 - 13*s**2 - 5*s + 5. Let j = 19 - 17. Let m(u) = j*x(u) - 5*f(u). Factor m(r).
2*r**2*(r - 1)**2*(r + 2)
Let v = -266 + 266. Let i(r) be the third derivative of 0*r - 1/20*r**5 + 1/8*r**4 + r**2 - 1/6*r**3 + v + 1/120*r**6. Solve i(d) = 0 for d.
1
Let n(p) = -5*p + 40. Let l be n(18). Let i be l/10 + (8 - 3). Factor i*s + 2/7*s**2 - 6/7*s**4 + 4/7*s**3 + 0.
-2*s**2*(s - 1)*(3*s + 1)/7
Let j(i) = -2*i**2 - 4*i - 5. Let w(h) = h**2 + 2*h + 4. Let s(p) = 4*j(p) + 5*w(p). Factor s(l).
-3*l*(l + 2)
Let v be (3936/(-12300))/(4/(-50)). Find q, given that 5/2*q**3 - 1/4 + 1/4*q**5 + 5/4*q - 5/2*q**2 - 5/4*q**v = 0.
1
Let h(p) be the second derivative of 0*p**2 + 1/80*p**5 + 1/6*p**3 - 1/12*p**4 - 19*p + 0. Factor h(z).
z*(z - 2)**2/4
Let n = 2299 - 2297. Let -4/3*x**4 + 16/3 + 12*x**n + 4/3*x**3 + 44/3*x = 0. Calculate x.
-1, 4
Suppose -58*x + 325 - 209 = 0. Factor 4/5 + 6/5*i + 2/5*i**x.
2*(i + 1)*(i + 2)/5
Let w be ((-3)/(-9) - -5) + -5. Let x(c) be the first derivative of c - 1/4*c**4 - w*c**3 + 1/2*c**2 + 3. Factor x(p).
-(p - 1)*(p + 1)**2
Let a(f) be the second derivative of 1/4*f**4 + 0 - 36*f + 0*f**2 + f**3 - 1/10*f**6 + 3/14*f**7 - 3/4*f**5. Find c such that a(c) = 0.
-1, -2/3, 0, 1
Let q = 23 - 21. Suppose -x = q*x - 6. Factor -3*i**x + 0*i**2 + 12*i - 9 - i**2.
-(2*i - 3)**2
Let z(k) = 4*k**2. Suppose 0 = 4*h + 3*g - 32, -2*h + 3 = g - 15. Let y(t) = 7*t**2. Let o(f) = h*z(f) - 6*y(f). Factor o(w).
2*w**2
Factor 80/3*l + 800/3 + 2/3*l**2.
2*(l + 20)**2/3
Find n, given that 34 + 78 - 1025*n - 3*n**4 - 159 - 107*n**3 - 4*n**4 - 555*n**2 - 203 = 0.
-5, -2/7
Let c(m) be the second derivative of -m**4/54 - 4*m**3/27 - 4*m**2/9 + 6*m + 5. Determine t, given that c(t) = 0.
-2
Factor -38*b**2 - 299*b**3 - 2*b**2 + 85*b - 50 + 304*b**3.
5*(b - 5)*(b - 2)*(b - 1)
Let h be ((-12)/(-8))/(1*1/2). Let l be h*115/25 + -3. Suppose 54/5 - 2/5*i**3 + 18/5*i**2 - l*i = 0. What is i?
3
Let s be ((-8)/(-12))/(4*(-2)/(-24)). Let m(i) be the second derivative of 0 + 5*i + 2/3*i**3 - 4*i**s + 1/3*i**4. Determine p so that m(p) = 0.
-2, 1
Suppose 2*i = -i. Factor i + 2*d**2 - 3 - 5 + 6*d.
2*(d - 1)*(d + 4)
Let o = -42 - -49. Let n(v) = -v - 1. Let u be n(-6). Let -o*g + u*g + 1 - 3 + g**2 + 3*g = 0. Calculate g.
-2, 1
Let h(p) = 4*p**2 - 3*p - 6. Let t(z) = -5*z**2 + 4*z + 7. Let o be 6/4 + 26/(-4). Let c(w) = o*t(w) - 6*h(w). Find g, given that c(g) = 0.
1
Let c = 37735/19 + -1986. Let n(j) be the third derivative of 3*j**2 + 1/1140*j**6 + 0*j + 0 + c*j**4 + 8/57*j**3 + 1/95*j**5. What is l in n(l) = 0?
-2
Suppose 0 = 5*k + 4*g, 0 = 2*k - 0*k - 5*g. What is x in -261*x + 265*x + k*x**5 - 8*x**3 + 4*x**5 = 0?
-1, 0, 1
Let q(m) be the first derivative of -4*m + 1/10*m**5 - 17 - 3/8*m**4 + 3*m**2 - 1/3*m**3. Find j, given that q(j) = 0.
-2, 1, 2
Let q(b) be the third derivative of -b**8/840 - 2*b**7/105 - b**6/8 - 5*b**5/12 + 5*b**4/24 - 22*b**2. Let v(l) be the second derivative of q(l). Factor v(o).
-2*(o + 1)*(2*o + 5)**2
Let b = -42/5 - -136/15. Find k such that -4/3 - 2/3*k + b*k**2 = 0.
-1, 2
Let t(o) be the third derivative of -o**8/2016 - o**7/315 - o**6/144 - o**5/180 - 61*o**2. Suppose t(z) = 0. Calculate z.
-2, -1, 0
Let r = -89 - -90. Let b(i) be the first derivative of 1/27*i**6 - 2/9*i - 4/27*i**3 + 2/15*i**5 + 1/9*i**4 - 1/3*i**2 - r. Factor b(k).
2*(k - 1)*(k + 1)**4/9
Let r(u) be the first derivative of 8 - 40*u + 50/3*u**3 + 10*u**2 - 5/4*u**4 - 5/6*u**6 - 4*u**5. Let r(c) = 0. What is c?
-2, 1
What is o in 384 + 2/9*o**4 + 74/9*o**3 + 104*o**2 + 480*o = 0?
-12, -1
Let f(r) be the second derivative of -7*r**6/30 - 61*r**5/20 - 61*r**4/6 + 20*r**3/3 - 10*r + 11. Suppose f(t) = 0. What is t?
-5, -4, 0, 2/7
Let m(r) be the third derivative of -r**8/1680 - r**7/630 + r**6/180 + r**5/30 - 7*r**4/12 + 10*r**2. Let x(f) be the second derivative of m(f). Factor x(p).
-4*(p - 1)*(p + 1)**2
Let c(u) = -23*u + 144. Let m be c(6). Let k(a) be the second derivative of -1/10*a**m + 1/4*a**4 + 0 - 3/20*a**5 + a + 1/2*a**3 + 0*a**2. Factor k(z).
-3*z*(z - 1)*(z + 1)**2
Let u = 14 + -11. Factor -4*r**5 - 2*r**4 + 2*r**u + 4*r**5 + 0*r**5 - 2*r**5 + 2*r**2.
-2*r**2*(r - 1)*(r + 1)**2
Let s be (2 - (-3)/6)/(715/1144). Determine i so that -6/7*i**3 + 0*i**2 + 0*i + 2/7*i**s + 0 = 0.
0, 3
Factor -11*l**2 + l**2 - 93 - 135*l + 163.
-5*(l + 14)*(2*l - 1)
Let v(s) = -5*s**3 - s - 2. Let p(w) = w**2 + 2*w + 4. Let r be p(0). Let n(j) = -4*j**3 - 1. Let m(t) = r*n(t) - 3*v(t). Solve m(q) = 0 for q.
-1, 2
Let i(u) be the second derivative of u**5/140 + u**4/28 - 2*u**3/21 - 6*u**2/7 + 2*u + 34. Factor i(c).
(c - 2)*(c + 2)*(c + 3)/7
Suppose 68/19*i**2 + 66/19*i**3 - 168/19*i - 144/19 - 24/19*i**4 + 2/19*i**5 = 0. Calculate i.
-1, 2, 6
Let i(m) be the second derivative of 3*m**7/1120 + m**6/240 - m**3 - 11*m. Let g(c) be the second derivative of i(c). Determine p, given that g(p) = 0.
-2/3, 0
Let q(k) be the first derivative of -k**3 + 6*k**2 - 9*k + 121. Let q(d) = 0. Calculate d.
1, 3
Suppose b + 3*k = -2*k