88)*(j - 2)/2
Let 735/4*s - 3/4*s**2 + 0 = 0. Calculate s.
0, 245
Let l = -3536 - -3538. Let h(j) be the second derivative of -1/21*j**3 + 0*j**l + 0 - 1/14*j**4 - 15*j - 3/70*j**5 - 1/105*j**6. Solve h(k) = 0.
-1, 0
Let u be -2 + 3 - (2 - 6). Suppose 0 = u*t - 3*t - 6. What is a in -53*a + 16 + 7*a**t + 28*a**3 - 117*a + 24 + 95*a**2 = 0?
-4, 2/7, 1
Let k(z) be the first derivative of 2*z**6/15 - 14*z**5/5 + 53*z - 13. Let r(a) be the first derivative of k(a). Factor r(v).
4*v**3*(v - 14)
Let g(f) be the second derivative of -f**6/1380 - 3*f**5/46 - 7*f**4/4 + 23*f**3/3 - 63*f**2 + 5*f - 4. Let d(s) be the first derivative of g(s). Factor d(a).
-2*(a - 1)*(a + 23)**2/23
Suppose 0 = h + 122 - 159. Determine u, given that 85 - 20*u**5 - h - 11*u + 69*u**4 - 96*u**2 + 107*u - 60*u**3 + 5*u**5 = 0.
-1, -2/5, 2
Factor -j**2 - 52*j + j + 128 - 41 + 133 + 12*j.
-(j - 5)*(j + 44)
Let a(d) be the second derivative of 0 - 1/4*d**4 + 0*d**2 - 11/2*d**3 + 109*d. Factor a(g).
-3*g*(g + 11)
Let p be ((-135)/9)/3 + (-8)/(-1). Let s be -1 - p*(2 - 3). Determine u so that 5/3*u**s + 4/3 + 8/3*u + 1/3*u**3 = 0.
-2, -1
Find n such that -537*n - 2*n**3 - 543*n + 400*n - 14*n**2 + 198*n**2 - 8*n**2 + 672 = 0.
2, 84
Let h(o) be the second derivative of o**4/78 + 11*o**3/39 + 24*o**2/13 - 845*o. Factor h(u).
2*(u + 3)*(u + 8)/13
Let g(r) be the third derivative of -r**6/1200 + r**5/25 - 63*r**4/80 + 81*r**3/10 + 157*r**2 + r. Factor g(h).
-(h - 9)**2*(h - 6)/10
Let o(l) = 1292*l**2 + 12*l + 3. Let r be o(0). Factor -25/4*q**2 - 5/4*q**r + 5/4*q**4 - 4 + 10*q + 1/4*q**5.
(q - 1)**3*(q + 4)**2/4
Determine r, given that 72 + 54 + 104 + 60 + 68*r - 3*r**2 + 5*r**2 = 0.
-29, -5
Let j(u) = -u**2 + 2*u + 2. Let p(i) = i**2. Let w(x) = -j(x) + 3*p(x). Let n(t) = t**2 - t. Let v(b) = -3*n(b) + w(b). Factor v(l).
(l - 1)*(l + 2)
Let y be -1*((-7)/3 - (-2)/6). Suppose 0 = 4*k - 2*f - 22, -2*k = -3*k - y*f - 7. Factor 4 + 0 - 6*j**k + 3*j**4 - 4.
3*j**3*(j - 2)
Let u be ((-17150)/(-650) - 27)*13/(-4). Solve -18/7*o**3 - 15/7*o**4 + 12/7*o**u + 18/7*o + 3/7 = 0.
-1, -1/5, 1
Let f(a) be the third derivative of -a**6/720 - 7*a**5/120 + a**4/6 + 11*a**3/9 - 2*a**2 - 349*a + 1. What is h in f(h) = 0?
-22, -1, 2
Let c(p) be the third derivative of p**6/1620 - p**5/540 - p**4/18 + 14*p**3 + 4*p**2 - 3. Let h(s) be the first derivative of c(s). Factor h(x).
2*(x - 3)*(x + 2)/9
Suppose -936 = 2*a + 4*t, -429 = 2*a - 5*t + 498. Let q = a + 4196/9. Let 2/9*f**4 + 26/9*f - 4/3 - q*f**3 - 14/9*f**2 = 0. Calculate f.
-3, 1, 2
Let j(n) be the third derivative of n**5/80 - 41*n**4/32 - 859*n**2. Solve j(f) = 0.
0, 41
Let x be ((-16)/6)/(46/207). Let b be ((-273)/(-45))/13 - x/10. Factor 5/3*d + 0*d**4 - 10/3*d**3 + 0*d**2 + 0 + b*d**5.
5*d*(d - 1)**2*(d + 1)**2/3
Let f(k) = -36*k**3 - 2985*k**2 + 8197*k - 5538. Let r(z) = -33*z**3 - 2985*z**2 + 8196*z - 5544. Let x(w) = -4*f(w) + 3*r(w). Solve x(d) = 0 for d.
-69, 4/3
Let k(u) be the third derivative of -u**5/300 + 1613*u**4/120 + 269*u**3/5 - 143*u**2 - 2*u - 6. Factor k(v).
-(v - 1614)*(v + 1)/5
Let q be (10 - 26)*18/162 + 3 + 3. Factor -2/9*j**3 + 34/9 - 70/9*j + q*j**2.
-2*(j - 17)*(j - 1)**2/9
Suppose -2*w + 22 = 2*x, -8429*w = -8431*w - 5*x + 55. Let w + 4/7*d**3 - 4/7*d**5 + 0*d**4 + 0*d**2 + 0*d = 0. What is d?
-1, 0, 1
Let s(i) be the first derivative of -219 - 60*i + 27/2*i**2 - i**3. Let s(b) = 0. What is b?
4, 5
Let b(m) be the third derivative of 1/210*m**5 + 1/84*m**4 - 1/735*m**7 + 0*m + 0*m**3 + 135*m**2 + 0 - 1/420*m**6. Determine c, given that b(c) = 0.
-1, 0, 1
Let s(b) be the first derivative of -1/2*b**4 + 0*b + 4/15*b**5 + 5/6*b**2 + 143 + 1/18*b**6 - 4/9*b**3. Suppose s(k) = 0. Calculate k.
-5, -1, 0, 1
Let s(l) be the first derivative of l**4/16 + 25*l**3/6 + 43*l**2/8 - 147*l/2 + 1561. Solve s(x) = 0 for x.
-49, -3, 2
What is r in -601*r - 1/2*r**2 + 1204 = 0?
-1204, 2
Let m(f) be the second derivative of f**6/105 + f**5/14 + f**4/6 + f**3/7 - 912*f. Factor m(i).
2*i*(i + 1)**2*(i + 3)/7
Suppose -n - 3 = 2, 5*h = -3*n + 50. Find v such that -74*v - 11*v**2 + 61 + h*v**2 + 11 = 0.
1, 36
Factor -71/2 - 435/8*a**2 - 77/8*a**3 - 1/8*a**4 - 643/8*a.
-(a + 1)**2*(a + 4)*(a + 71)/8
Let v(n) be the first derivative of 2/3*n**3 + 55 + n**2 - 12*n. Factor v(h).
2*(h - 2)*(h + 3)
Factor -2357*v**2 - v**3 - 2226*v**2 - 14641*v + 4825*v**2.
-v*(v - 121)**2
Let c(a) = -1080*a**3 + 9395*a**2 - 720245*a - 3033720. Let l(b) = 173*b**3 - 1566*b**2 + 120041*b + 505620. Let y(v) = 4*c(v) + 25*l(v). Factor y(t).
5*(t - 159)**2*(t + 4)
Let r(o) be the first derivative of 1/5*o**3 - 1/25*o**5 - 4/5*o**2 + 4/5*o + 1/10*o**4 + 9. What is b in r(b) = 0?
-2, 1, 2
Factor -11730 + 11856 - 250*y**2 - 32*y + 160*y - 4*y**3.
-2*(y - 1)*(y + 63)*(2*y + 1)
Factor 0 - 14/13*p**2 + 2/13*p**4 + 0*p**3 + 12/13*p.
2*p*(p - 2)*(p - 1)*(p + 3)/13
Let s(v) = 5*v + 63*v**2 + 7 - 5*v - 67*v**2 + 8*v. Let k(w) = 5*w**2 - 8*w - 6. Let x(z) = -5*k(z) - 6*s(z). Suppose x(i) = 0. What is i?
-6, -2
Let k(l) be the second derivative of -23*l + 2/15*l**3 + 1/100*l**5 + 0*l**2 - 1/15*l**4 - 1. Factor k(t).
t*(t - 2)**2/5
Let r(z) be the third derivative of -z**7/630 + z**6/120 + z**5/30 - z**4/9 + 60*z**2 - 8*z. Factor r(t).
-t*(t - 4)*(t - 1)*(t + 2)/3
Let b(a) = -2. Let z = -363 - -358. Let r(x) = 2*x**3 - 168*x**2 + 4704*x - 43894. Let u(l) = z*b(l) - r(l). Factor u(d).
-2*(d - 28)**3
Let l be 175/(-50)*(-100)/420. Let k(u) be the third derivative of 0 + 1/12*u**5 - 10*u**3 - l*u**4 + 0*u - u**2. Find w such that k(w) = 0.
-2, 6
Let 7740*g**3 - 11650*g**2 - 1440 - 3465/2*g**4 + 245/2*g**5 + 6960*g = 0. Calculate g.
4/7, 1, 6
Let i(p) be the first derivative of -2*p**7/105 - p**6/15 + 47*p**2 + 13. Let f(w) be the second derivative of i(w). Factor f(d).
-4*d**3*(d + 2)
Let a be (-60)/(-96) + 43/8 + -4. Factor 0 - 2/5*m**4 + 6/5*m**3 - 2/5*m**5 + 2*m**a + 4/5*m.
-2*m*(m - 2)*(m + 1)**3/5
Let n = 25549/4 - 6387. Find t, given that -n*t + 3/2 - 1/4*t**3 - t**2 = 0.
-3, -2, 1
Let a be (16/10)/((-1)/(-105)). Factor a*p - 2*p**2 - 26*p**2 - 16 - 104*p.
-4*(p - 2)*(7*p - 2)
Let p be (-40 - -688)/(-9)*2/(-21). Suppose 2/7*j**5 - 24/7*j**4 + 0 - p*j**2 - 160/7*j + 86/7*j**3 = 0. What is j?
-1, 0, 4, 5
Let k(h) = 4*h**2 - 104*h + 682. Let n(t) = 44*t**2 - 1144*t + 7500. Let j = -116 + 84. Let u(c) = j*k(c) + 3*n(c). Factor u(y).
4*(y - 13)**2
Let k(o) = -o**4 - 11*o**3 + 10*o**2 - 2*o + 12. Let q(n) = -2*n**4 - 11*n**3 + 10*n**2 - 3*n + 18. Let c(g) = 3*k(g) - 2*q(g). Factor c(v).
v**2*(v - 10)*(v - 1)
Let r(l) be the second derivative of -l**4/24 - 997*l**3/6 - 994009*l**2/4 - 1911*l. Determine w, given that r(w) = 0.
-997
Let r(o) be the second derivative of 10*o**4 + 0*o**2 + 2*o**3 - 63/20*o**5 + 0 - 11*o. Factor r(x).
-3*x*(x - 2)*(21*x + 2)
Suppose 25 = 6*n + 7. Factor -2*q**n - 28*q - 35*q**2 - 3*q**3 + 28*q.
-5*q**2*(q + 7)
Suppose -1 = -464*w - 18 + 17. Factor w + 17/3*m - 11/2*m**2 - 1/6*m**3.
-m*(m - 1)*(m + 34)/6
Let r = 6703/2 - 3563. Let u = r + 213. Factor -u*c - 1 - 1/2*c**2.
-(c + 1)*(c + 2)/2
Let o(l) be the first derivative of -2*l**5/5 + 27*l**4/2 + 2*l**3 - 83*l**2 + 108*l + 1721. Let o(w) = 0. Calculate w.
-2, 1, 27
Let k = 2117 - 2115. Let p(t) be the second derivative of 1/12*t**4 - 1/6*t**3 - 20*t + 0 + 0*t**k. Factor p(r).
r*(r - 1)
Let z = -107666 - -538351/5. Factor 18*t - z*t**2 - 24/5.
-3*(t - 4)*(7*t - 2)/5
Let n = 470203 + -2351007/5. Let 0*g**2 + n*g + 0 - 2/5*g**3 = 0. What is g?
-2, 0, 2
Let u(j) be the first derivative of -j**3/5 - 27*j**2/10 + 66*j/5 - 254. Factor u(o).
-3*(o - 2)*(o + 11)/5
Let d(j) = -j**3 + 5*j**2 + 10*j + 10. Let c be d(-5). Solve c*x + 1299 - 8*x**2 - 3504 + 3*x**2 = 0.
21
Let w(m) be the second derivative of 7*m**6/5 - 177*m**5/8 - 795*m**4/2 + 1765*m**3/4 - 357*m**2/2 - 2385*m - 2. Suppose w(p) = 0. Calculate p.
-7, 1/4, 2/7, 17
Let o(d) = d**3 + d**2 - 11*d - 12. Let c be o(-3). Factor 6*m**3 - 37*m**2 - 26 + 4*m**c - 4 + 60*m - 6 - m**4.
-(m - 3)**2*(m - 2)**2
Let p(r) = -24*r + 74. Let h be p(3). Suppose 402*a + 13467 + 2*a**2 + 0*a**2 + 2*a**h + a**2 - 2*a**2 = 0. What is a?
-67
Let k(o) be the third derivative of o**7/1050 + 11*o**6/600 + 2*o**5/15 + 2*o**4/5 - 1006*o**2. Factor k(t).
t*(t + 3)*(t + 4)**2/5
