1)
Let k(h) = -4*h**2 - 92*h + 204. Let u(d) = -4*d - 5. Let w(z) = k(z) + 12*u(z). Factor w(q).
-4*(q - 1)*(q + 36)
Factor 1140*l**2 + 8450 + 2267*l + 1504*l**3 - 782*l**3 - 5358*l**2 + 324*l + 919*l.
2*(l + 1)*(19*l - 65)**2
Let r(h) be the third derivative of 23/30*h**5 - 13/6*h**4 - 11/120*h**6 - 2 + 4/3*h**3 + 13*h**2 + 0*h. Suppose r(j) = 0. What is j?
2/11, 2
Let q be -9 + (18 - (4 + 2)). Let c(j) be the first derivative of -4 + 1/12*j**2 - 1/3*j + 1/18*j**q. Suppose c(m) = 0. What is m?
-2, 1
Let l(n) = 56*n**4 - 152*n**3 - 1133*n**2 + 785*n + 552. Let v(m) = -26*m**4 + 76*m**3 + 566*m**2 - 392*m - 272. Let r(g) = 4*l(g) + 9*v(g). Solve r(u) = 0.
-5, -2/5, 1, 12
Let q(f) be the first derivative of -76*f**3/3 - 98*f**2 + 96*f + 7. Factor q(a).
-4*(a + 3)*(19*a - 8)
Let z(j) = 9*j - 20. Let w be z(4). Solve 56*f + 14*f**2 - w - 8*f + 14*f**2 = 0.
-2, 2/7
Let a(g) be the third derivative of -g**5/540 - 101*g**4/216 - 194*g**3/27 - g**2 - 262. Factor a(v).
-(v + 4)*(v + 97)/9
Let r be -1 - 3 - (-35 - -22). Find t, given that -2643*t**4 - 2*t**3 + 2641*t**4 - 76*t - r*t**2 + 18*t**3 - 48 - t**2 = 0.
-1, 4, 6
Let g = -182183 + 182183. Suppose 3*y + 12 = 7*y. Find o such that 4/7*o**y + g*o**2 - 4/7*o + 0 = 0.
-1, 0, 1
Solve 22/5*m**2 - 12/5*m**4 + 7/5*m**5 + 8/5 + 36/5*m - 5*m**3 = 0 for m.
-1, -2/7, 2
Suppose 2 = 5*n + 22. Let l be n*(-1)/(2 - 1). Determine i, given that 2*i**l - 6*i + i**2 + 5*i + i - 3*i**3 = 0.
0, 1/2, 1
Suppose 12*d = 17*d + y - 15, 5*y = 5*d - 15. Let k(n) be the second derivative of 0*n**2 + 0 - 1/2*n**4 + 3/10*n**5 + 1/3*n**d + 6*n - 1/15*n**6. Factor k(h).
-2*h*(h - 1)**3
Let z(d) be the second derivative of d**6/135 - 28*d**5/45 + 25*d**4/3 - 48*d**3 + 141*d**2 - 148*d + 4. Find w, given that z(w) = 0.
3, 47
Let i(g) = -3*g + 26855 + 7*g - 26855. Let x(s) = s**3 - s**2 - 5*s - 5*s + s. Let v(w) = 9*i(w) + 4*x(w). Factor v(m).
4*m**2*(m - 1)
Let s(g) be the second derivative of 0 + 64*g**2 + 64/3*g**3 + 10/3*g**4 + 25*g + 1/5*g**5. Factor s(n).
4*(n + 2)*(n + 4)**2
Suppose 2*f = 5*p - 272, 2*p - 4*f - 141 = 3. Factor p*v - 10*v**2 - 250/3 + 2/3*v**3.
2*(v - 5)**3/3
Find h, given that 70 - 1/4*h**2 + 27/4*h = 0.
-8, 35
Let i(s) = 7*s**2 - 14*s + 1. Let n be i(2). Factor -4*y - n + 2*y**2 + 14*y**2 - 8*y - 3*y**2.
(y - 1)*(13*y + 1)
Let q = -3563 + 3563. Let m(r) be the second derivative of 7*r + 0*r**6 + 1/84*r**7 + q*r**4 + 0*r**2 + 1/12*r**3 + 0 - 1/20*r**5. Find z such that m(z) = 0.
-1, 0, 1
Suppose 14*y - 14 = 28*y. Let c be ((y - 5) + 6)/(2/(-1)). Let 0 + c*j - 3/5*j**2 = 0. What is j?
0
Let t(f) be the second derivative of f**5/60 - 8*f**4/9 + 55*f**3/6 - 39*f**2 + 108*f. Suppose t(h) = 0. What is h?
3, 26
Let -1/2*a**5 - 2*a - 2*a**2 + a**4 + 0 + 3/2*a**3 = 0. Calculate a.
-1, 0, 2
Let h be 1214/3 + 19352/(-2419). Determine x, given that -25/3*x**2 + 160 - h*x = 0.
-48, 2/5
Suppose 0 = 4*x - 4, 4*u + 4*x = x + 19. Determine c so that -3*c**3 - 2*c**2 + 5*c**3 - 14*c - 11*c**2 + 5*c**2 - u*c**2 = 0.
-1, 0, 7
Factor -1849/5 - 387*p - 87/5*p**2 - 1/5*p**3.
-(p + 1)*(p + 43)**2/5
Let i be 16/12 - 20/390*13. Let r(p) be the first derivative of -4 + i*p**2 + p + 1/9*p**3. Factor r(f).
(f + 1)*(f + 3)/3
Let t(o) be the second derivative of o**7/42 - 79*o**6/30 + 1957*o**5/20 - 4907*o**4/4 - 2793*o**3 - 470*o + 1. Solve t(k) = 0 for k.
-1, 0, 21, 38
Find g, given that -48 - 12*g**5 - 435*g - 3747/4*g**3 - 246*g**4 - 1191*g**2 = 0.
-16, -2, -1/4
Let b(z) be the first derivative of -z**4 - 16*z**3/3 - 10*z**2 - 8*z - 988. Find k such that b(k) = 0.
-2, -1
Factor -11560/3 - 2/15*c**2 + 136/3*c.
-2*(c - 170)**2/15
Let j = 674 + -671. Let n be j*(-10)/12 + 6/2. Factor 0*c - 3/2*c**4 + 0 + 3/2*c**3 - 1/2*c**2 + n*c**5.
c**2*(c - 1)**3/2
Let l(q) = -q**2 + 27*q + 102. Let z be l(30). What is v in -23 + z*v**2 + 21*v**3 - 21*v + 5 - 135*v**4 + 141*v**4 = 0?
-2, -3/2, -1, 1
Let a(g) be the second derivative of 1/12*g**4 + 0 + 19/6*g**3 + 1/180*g**6 + 0*g**2 - 12*g - 1/30*g**5. Let s(r) be the second derivative of a(r). Factor s(v).
2*(v - 1)**2
Let f(x) = -100*x**2 - 2560*x + 18900. Let z(k) = 7*k**2 + 183*k - 1350. Let a(w) = -6*f(w) - 85*z(w). Factor a(g).
5*(g - 30)*(g - 9)
Let h(d) be the second derivative of -111*d + 0 - d**4 + 0*d**3 + 0*d**2 + 1/4*d**5 + 1/60*d**6. Factor h(q).
q**2*(q - 2)*(q + 12)/2
Let b = 758 - 786. Let g be 9 + (315/b - -3). Factor 1/4*d**4 + 0 + 7/4*d**2 - g*d - 5/4*d**3.
d*(d - 3)*(d - 1)**2/4
Let t(o) be the second derivative of o**6/85 - 44*o**5/85 + 37*o**4/34 + 10*o**3/17 - 56*o**2/17 - 26*o - 170. Let t(y) = 0. What is y?
-2/3, 1, 28
Suppose -5*f + 559 = 3*f + 543. Let m(n) be the first derivative of -f*n - 59/9*n**3 + 37/6*n**2 + 3/5*n**5 + 1/4*n**4 - 26. Suppose m(s) = 0. What is s?
-3, 1/3, 2
Let t = 203055 - 812127/4. Solve 33/2 + 3/4*k**3 + 6*k**2 - t*k = 0 for k.
-11, 1, 2
Let o be 8/6 + 20 + 12208/(-588). What is s in -38/7*s**3 + 0*s + 0 - 20/7*s**2 + o*s**4 = 0?
-1/2, 0, 10
Let h(q) = q**3 + 2*q**2 + 13. Let d be h(-5). Let k = d - -64. Determine v, given that 4*v - 47*v**3 + 94*v**3 - 44*v**3 + 12*v**k + 5*v = 0.
-3, -1, 0
Suppose 2*r + 2*d - 44 = 0, 3*r + 4*d - 11 - 60 = 0. Suppose -5*u = -3 - r. Solve -2*a**3 + 20*a**4 + 7*a**2 + 2*a - 13*a**4 - 14*a**u = 0.
-1, -2/7, 0, 1
Suppose 4*w - 160 = -3*h, 53 = w + 3*h + h. Suppose -4*j = l - 236, l + w = 3*j + 238. Find o such that 12*o + l + 6*o - 3*o**2 - 243 = 0.
3
Let k(v) = -2*v**3 + 2*v**2 + 4. Let m(l) = -5*l**3 + 7*l**2 + l + 11. Suppose 21*x - 198 = 3*x. Let n(b) = x*k(b) - 4*m(b). What is u in n(u) = 0?
-2, -1, 0
Let g(w) be the first derivative of w**7/1470 + w**6/210 - 2*w**5/105 - 2*w**4/7 + 5*w**3 + w**2/2 + 75. Let o(q) be the third derivative of g(q). Factor o(j).
4*(j - 2)*(j + 2)*(j + 3)/7
Let f(b) be the second derivative of 2*b**6/15 + 12*b**5/5 + 37*b**4/3 - 20*b**3 - 400*b**2 - 1055*b. Factor f(j).
4*(j - 2)*(j + 4)*(j + 5)**2
Let m(q) be the second derivative of 9/2*q**3 + 23*q + 0 - 5*q**2 + 0*q**4 - 1/20*q**5. Let s(u) be the first derivative of m(u). Factor s(h).
-3*(h - 3)*(h + 3)
Let n(m) be the third derivative of 1/42*m**7 + 5/336*m**8 + 90*m**3 + 15*m**4 + 0*m + 0 - 17/24*m**6 + 115*m**2 - 7/4*m**5. Let n(y) = 0. What is y?
-3, -2, 3
Factor -210*q**2 - 1245626*q - 3*q**3 + 1230926*q + 2*q**3 - 343000.
-(q + 70)**3
What is d in 1940 + 316*d**2 + 330*d**2 - 4854*d + 327*d**2 - 963*d**2 = 0?
2/5, 485
Let h = -1463 - -3194. Let x = -6879/4 + h. Solve -39/4*t**3 + 0 + 39/2*t**4 - x*t**5 + 3/2*t**2 + 0*t = 0.
0, 1/3, 2/5, 1
Let -17*u**5 + 796*u**4 - 792*u**4 - 6*u**5 + u**5 = 0. What is u?
0, 2/11
Let o be -1*(-4)/(-8)*(-23 + 13). Suppose 6 = -4*r - 2*z, -o*r - 4*z + 9 = -7*z. Solve r - 12/5*m - 2/5*m**2 = 0.
-6, 0
Let x(u) be the third derivative of u**8/84 - 152*u**7/105 + 323*u**6/5 - 3320*u**5/3 - 6875*u**4/6 + 125000*u**3 + 863*u**2. Factor x(p).
4*(p - 25)**3*(p - 4)*(p + 3)
Let w(h) = -4*h**3 - 989*h**2 - 8546*h - 17412. Let n(b) = b**3 + 496*b**2 + 4274*b + 8708. Let s(x) = 7*n(x) + 3*w(x). Solve s(l) = 0 for l.
-4, 109
Let u(m) = -25*m**2 - 420*m + 14708. Let s(d) = 68*d**2 + 1260*d - 44122. Let o(y) = -4*s(y) - 11*u(y). Find j, given that o(j) = 0.
70
Let t = 11 + -1. Let z(i) = -i + 13. Let o be z(t). Solve -2*h**4 - 6*h**3 - 4 - 18*h**2 - 14*h + 3*h**3 - 7*h**o = 0.
-2, -1
Find y, given that -93/5*y**2 + 321/5*y - 321/5*y**3 + 81/5 + 12/5*y**4 = 0.
-1, -1/4, 1, 27
Let q(r) = -2*r**4 - 10*r**3 + 138*r**2 + 5. Let x(f) = 4*f**4 + 18*f**3 - 274*f**2 - 9. Let n(k) = 18*q(k) + 10*x(k). Factor n(t).
4*t**2*(t - 8)*(t + 8)
Let k(w) be the first derivative of -22*w**3/3 - 142*w**2 - 289*w - 103. Let j(a) = -5*a**2 - 71*a - 72. Let z(f) = -18*j(f) + 4*k(f). Factor z(y).
2*(y + 1)*(y + 70)
Let d(m) be the second derivative of -m**7/210 + m**6/10 - 12*m**5/25 + 11*m**4/15 + 1025*m. Determine o so that d(o) = 0.
0, 2, 11
Let s(u) be the second derivative of -6/5*u**2 + 4/15*u**3 + 13*u - 1/60*u**4 + 3. Solve s(q) = 0.
2, 6
Determine g, given that 91*g**3 - 340*g + 102*g**2 + 23*g**3 + 61*g**3 + 5*g**4 + 58*g**2 = 0.
-34, -2, 0, 1
Let t = 6390 - 6290. Let l(m) be the second derivative of t*m**2 + 1/6*m**4 - 20/3*m**3 + 0 + 31*m. Factor l(s).
2*(s - 10)**2
Let y(f) = 3*f**2 + 1815*f + 1814. Let i be y(-1). F