 39*r + 179 - 28*r - 1575*r**2 + 1574*r**2.
-(r - 1)*(r + 179)
Let k be (24/32)/(900/80). Let v(r) be the third derivative of 0 + 1/15*r**5 + 0*r**3 - k*r**6 + 38*r**2 + 0*r + 0*r**4 + 2/105*r**7. Factor v(o).
4*o**2*(o - 1)**2
Factor -51*h - 24*h**2 + 2*h**3 - 14 - 4 - 8 - h**3 + 0*h**3.
(h - 26)*(h + 1)**2
Let j(y) be the first derivative of -3*y**4/4 + 60*y**3 - 2511*y**2/2 - 5766*y - 384. Factor j(q).
-3*(q - 31)**2*(q + 2)
Let s(j) be the second derivative of -4/5*j**3 + 1/25*j**5 - 84*j - 1/75*j**6 - 36/5*j**2 + 0 + 11/30*j**4. Determine z, given that s(z) = 0.
-2, 3
Let w be (-5)/7*(-770)/(-110). Let n be (-2)/w + (6 - (-504)/(-135)). Factor -4*k**2 + 4*k + 8/3 - n*k**3.
-4*(k - 1)*(k + 2)*(2*k + 1)/3
Suppose 8*b - 304 = 4*b. Suppose 5*a - a = b. Determine d so that a*d**3 - 45*d + 17*d**3 - 27*d**2 - 39*d**3 - 21 = 0.
-7, -1
Factor 572/7*z - 2/7*z**2 + 0.
-2*z*(z - 286)/7
Let i(n) = -4*n**3 - 11*n**2 + 24*n - 1. Let b be i(3). Let k be (-714)/b + -3 + (-6)/3. What is c in 3/4*c**2 - k*c**3 + c + 0 = 0?
-1, 0, 4
Let q be ((-27)/18)/((3 + 0)/240). Let b be (28/(-33))/(80/q). Factor 0 - 8/11*y**4 - 40/11*y**2 - b*y - 36/11*y**3 + 2/11*y**5.
2*y*(y - 7)*(y + 1)**3/11
Let d(j) = -14*j**2 + 543*j + 440. Let h(t) = -16*t**2 + 542*t + 428. Let o(b) = -10*d(b) + 9*h(b). Factor o(z).
-4*(z + 1)*(z + 137)
Let q(z) be the second derivative of 512*z**5/65 - 14816*z**4/39 - 1855*z**3/39 - 29*z**2/13 + 4776*z - 2. Let q(s) = 0. What is s?
-1/32, 29
Let j(z) = -2*z**2 + z - 7. Let m(n) = -9*n**2 + 17649*n - 25948464. Let s(o) = 3*j(o) - m(o). Let s(l) = 0. Calculate l.
2941
Find b, given that -6*b**2 - 709 - 7*b + 235 - 146*b + 194 + 205 = 0.
-25, -1/2
Let m = -13154 + 52619/4. Let p(t) be the second derivative of 5/2*t**3 + 0 + 0*t**2 + 1/6*t**6 - m*t**5 - 5/12*t**4 + 20*t. Determine l so that p(l) = 0.
-1, 0, 1, 3
Let c(a) be the second derivative of a**6/240 - a**5/8 - 89*a**4/48 - 73*a**3/12 - 135*a**2/16 - 1302*a. Let c(k) = 0. Calculate k.
-5, -1, 27
Let s = 1/2945567 + 5891125/26510103. Factor -4/9 - 2/3*h - s*h**2.
-2*(h + 1)*(h + 2)/9
Let u(k) be the first derivative of 5*k**5 + 585*k**4/4 + 1280*k**3/3 + 210*k**2 + 449. Solve u(z) = 0 for z.
-21, -2, -2/5, 0
Suppose -75*u + 78*u - 4*h = -56, -4*h = 2*u - 56. Factor 3/2*c**2 + u - c.
c*(3*c - 2)/2
Let k(p) = 2888*p**3 - 52637*p**2 + 10991*p - 591. Let f(w) = 722*w**3 - 13160*w**2 + 2748*w - 148. Let x(j) = -15*f(j) + 4*k(j). Find r such that x(r) = 0.
2/19, 18
Factor 147894/11 + 146010/11*o + 6/11*o**3 - 1878/11*o**2.
6*(o - 157)**2*(o + 1)/11
Let k(v) be the first derivative of v**7/315 - v**6/180 - v**5/18 - v**4/12 - v**2/2 + 7*v + 147. Let n(a) be the second derivative of k(a). Factor n(i).
2*i*(i - 3)*(i + 1)**2/3
Let z(p) be the third derivative of p**7/14 - p**6/10 - 9*p**5/20 - 399*p**2. Determine r so that z(r) = 0.
-1, 0, 9/5
Let m = -17593/235 + 3528/47. Factor m*q**4 + 0 + 44/5*q**2 - 8*q - 14/5*q**3.
q*(q - 10)*(q - 2)**2/5
Suppose -8*q - 5070 = 5*q. Let y = q + 1178/3. Suppose 8/3*s**2 - y*s**4 - 20/3*s**5 + 20/3*s**3 + 0 + 0*s = 0. What is s?
-1, -2/5, 0, 1
Factor 0 - 31*x**2 + 5/4*x.
-x*(124*x - 5)/4
Suppose 0 = -5*j - 2*x + 20, 20*x = 18*x + 10. Suppose -6/5*b + 0 - 111/5*b**j = 0. What is b?
-2/37, 0
Let x(k) be the third derivative of -k**6/240 - 31*k**5/30 - 245*k**4/48 - 61*k**3/6 - 2*k**2 - 3923*k. Factor x(t).
-(t + 1)**2*(t + 122)/2
Let m(k) = k**3 + 16*k**2 + 28*k + 2. Let p(j) = -j**2 - 2*j + 1. Let b be -8 + 3 + -5 + 4. Let w(v) = b*p(v) + 3*m(v). Factor w(i).
3*i*(i + 2)*(i + 16)
Suppose 0 = j + 2*s + 9, 0*s - 19 = j + 4*s. Let x(k) be the first derivative of j + 16*k - 6 - 2 + 4*k**3 + 14*k**2. Determine l, given that x(l) = 0.
-4/3, -1
Factor 5*s**4 + 1055*s - 35*s**2 + 1042*s - 2127*s.
5*s*(s - 3)*(s + 1)*(s + 2)
Solve -2/5*l**2 + 148/5*l + 0 = 0.
0, 74
Let z(q) be the second derivative of -q**4/4 - 9*q**3/2 + 378*q**2 - 1591*q. Factor z(g).
-3*(g - 12)*(g + 21)
Let u be (54 - 969/18)*8. Factor 1/6*c**4 + 0 + c**3 + u*c - 5/2*c**2.
c*(c - 1)**2*(c + 8)/6
Let h(g) be the third derivative of g**6/120 - g**3/6 - 136*g**2. Let y(x) = x**3 + 160*x**2 - 1280*x - 6. Let r(o) = -6*h(o) + y(o). Factor r(l).
-5*l*(l - 16)**2
Suppose 0 = 12*f + 62*f - 11*f. Factor f - 4/5*k**2 + 2/5*k**3 - 6/5*k.
2*k*(k - 3)*(k + 1)/5
Let q(c) be the second derivative of c**5/15 + 4*c**4/3 + 8*c**3 - 102*c**2 + c - 12. Let o(d) be the first derivative of q(d). Factor o(k).
4*(k + 2)*(k + 6)
Let w(b) = -b**4 - b**3 + b**2 + b - 1. Let f(g) = 16*g**4 + 52*g**3 - 84*g**2 - 244*g - 76. Let o(l) = f(l) - 12*w(l). What is n in o(n) = 0?
-2, -2/7, 2
Find a, given that 1/7*a**5 + 60/7*a**3 + 2*a**4 + 0*a + 72/7*a**2 + 0 = 0.
-6, -2, 0
Let a be ((-4)/10)/((-4 + 87)/(-415)). Find u, given that -3/11*u**3 - 4/11*u**4 + 0 + 4/11*u**a - 1/11*u**5 + 4/11*u = 0.
-2, -1, 0, 1
Let f(l) = l**2 - 5*l + 19. Let x be f(9). Suppose -x = -4*a + 2*g + g, -49 = -4*a + 5*g. Suppose -a*i + 15*i**2 + 48*i**2 - 35*i**2 = 0. Calculate i.
0, 4/7
Let m be (-9048)/(-16)*(-12)/(-189)*-3. Let k = m + 764/7. Find f such that 0 - 8/7*f + 16/7*f**2 - 4/7*f**5 - k*f**4 + 6/7*f**3 = 0.
-2, 0, 1/2, 1
Let x = -192 + 92. Let a be 40/x - (-104)/10. Factor 3*k**2 + 0*k**2 + a*k - 11*k - 14*k.
3*k*(k - 5)
Suppose 228 = x - 5*b + 8*b, 0 = -2*x - b + 476. Let z be 1/3 - 48/x. Find h such that -2/15*h**3 + 4/15*h**4 - z*h**5 + 0*h**2 + 0*h + 0 = 0.
0, 1
Let o(v) be the second derivative of -v**4/16 - 197*v**3/4 + 297*v**2 - 4656*v. Determine c so that o(c) = 0.
-396, 2
Let w = 61729 - 61727. Let l = 1848/5 - 368. Factor -l - 6/5*r + 2/5*r**w.
2*(r - 4)*(r + 1)/5
Let u(j) be the first derivative of 2*j**3 + 25/2*j**4 + 8*j - 14*j**2 - 12. Let f(q) = q**2 - q. Let y(v) = -4*f(v) - u(v). Factor y(m).
-2*(m + 1)*(5*m - 2)**2
Let a(d) = -d**4 - 2*d**3 - d**2 - 4. Let h(w) = 24*w**4 + 1094*w**3 + 137308*w**2 - 138338*w + 88. Let x(l) = 44*a(l) + 2*h(l). What is t in x(t) = 0?
-263, 0, 1
Suppose -16*s = -17*s - 4*l, -5*s + 23 = -3*l. Let z(r) be the second derivative of 0 + 1/6*r**s + 10*r - r**2 + 0*r**3. Factor z(k).
2*(k - 1)*(k + 1)
Let j be (6/(-4))/(12/160). Let x = j - -37. Solve -97*g**3 + 5*g**4 + x*g**3 - 211*g - 749*g + 440*g**2 + 260 + 460 = 0 for g.
2, 6
Let m(j) = -3*j**3 - 4*j - 1. Let p(d) = -10*d**3 - 36*d**2 + 80*d - 2. Let l(r) = 2*m(r) - p(r). Factor l(t).
4*t*(t - 2)*(t + 11)
Factor 0 - 3/2*t**2 - 309*t.
-3*t*(t + 206)/2
Let h(m) be the second derivative of -12*m**5 + 418/21*m**4 - 91/30*m**6 - 248/21*m**3 + 78 + 7/6*m**7 + m + 24/7*m**2. Factor h(p).
(p - 3)*(p + 2)*(7*p - 2)**3/7
Find c, given that -3568*c**2 + 6936 - 5198*c**2 + 30777*c**3 + 22*c**5 - 13*c**5 + 1830*c**4 - 30804*c + 18*c**5 = 0.
-34, -1, 2/9, 1
Let u(h) be the third derivative of h**7/70 - 3*h**6/8 - h**5/20 + 15*h**4/8 - 1673*h**2. Find y, given that u(y) = 0.
-1, 0, 1, 15
Let f be 11/(11/3) + 0. Suppose -1 + 6*k**3 - 2 + 0*k**3 - 2*k**f + 0*k**3 + 2*k**2 + k**4 - 4*k = 0. Calculate k.
-3, -1, 1
Let f = -386 + 389. Let d be f/2 + -1 - (-93)/(-434). Find j such that 2/21*j**2 + d - 8/21*j = 0.
1, 3
Let p(f) be the second derivative of f**7/280 - 29*f**6/720 - f**5/48 + 20*f**3 + 13*f. Let z(g) be the second derivative of p(g). Factor z(w).
w*(w - 5)*(6*w + 1)/2
Suppose -42*o = -p - 37*o + 84, 5*p - 4*o = 84. What is g in -72/7*g**2 + 72/7*g**p - 68/7*g**3 + 10*g + 0 - 2/7*g**5 = 0?
-1, 0, 1, 35
Let o(i) be the third derivative of -i**6/480 - 73*i**5/40 - 15987*i**4/32 - 174*i**2 + 8*i. What is k in o(k) = 0?
-219, 0
Suppose -171 = 7*z + 144. Let b be 35/z*6/(-7). Suppose -8/15 - 16/15*i - b*i**2 - 2/15*i**3 = 0. Calculate i.
-2, -1
Factor 49/2 - 25*j + 1/2*j**2.
(j - 49)*(j - 1)/2
Suppose -178 = -6*s - 4*m, 5*s - 43 = -m + 82. Factor 9/2*f**4 - 15*f**3 + s*f**2 - 33/2*f + 9/2 - 1/2*f**5.
-(f - 3)**2*(f - 1)**3/2
Let x(p) = p**2 + 2. Let c be x(0). Suppose -2*f + 72 = c. Find s such that f*s**5 - 60*s**4 - 9 - 125*s**3 - 4 - 60*s + 250*s**2 - 27 = 0.
-2, -2/7, 1, 2
Let s be (-76109)/(-12210) - (-136)/(-40). What is z in 1/6*z**2 - s*z + 0 = 0?
0, 17
Suppose 2*h - 2 = -2*c, 2*c + 3 = -c. Suppose 4*v - 10 = 2. Find l, given that v*l**2 - 36*l - 2*l**2 - 13*l**2 - 12*l**h - 4*l**3 = 0.
-3, 0
Let q(u) = 3*u**2 - 95*u + 36. Let i be q(36). Let p be 300/i 