te z.
-93, -2, -1, 0, 1
Suppose -c + 11 = -5*t, 93*c - 4*t = 89*c + 76. Let g be (-1337)/(-28) - 2/(-8). Factor 48 - i**4 - 9*i + g*i + 4*i**4 + 45*i**2 - 36 + c*i**3.
3*(i + 1)**3*(i + 4)
Let z be (-14)/(-245)*7*(-3)/(-6). Let o(f) be the first derivative of -1/15*f**3 - 17 + 0*f - z*f**2. Suppose o(p) = 0. Calculate p.
-2, 0
Let k(t) be the first derivative of -1/10*t**6 + 9/5*t**4 + 0*t**2 + 0*t + 16/5*t**3 + 0*t**5 + 245. Find l, given that k(l) = 0.
-2, 0, 4
Let j(l) be the second derivative of 242*l**7/21 + 352*l**6/15 - 2*l**5/5 - 16*l**4 + 6*l**3 - 27*l + 1. Determine g, given that j(g) = 0.
-1, 0, 3/11
Let f = 24162/28133 + -48/28133. Find d such that 0 + 9/7*d - 3/7*d**3 + f*d**2 = 0.
-1, 0, 3
Let a = -4541 + 4544. Let u(p) be the first derivative of 34 - 4/15*p**a - 1/5*p**4 + 1/15*p**6 + 2/25*p**5 + 2/5*p + 1/5*p**2. Factor u(q).
2*(q - 1)**2*(q + 1)**3/5
Solve -378225 + 545*y**3 - 308730*y - 12630*y**2 + 449*y**3 + 5*y**4 + 39059*y**2 + 216*y**3 + 44271*y**2 = 0.
-123, -1, 5
Let o(m) be the first derivative of m**3/9 + 55*m**2 + 9075*m + 719. Factor o(i).
(i + 165)**2/3
Let z(p) be the third derivative of 0*p - 7 - 3/20*p**5 - 4*p**3 - 7/4*p**4 + 1/10*p**6 + 2*p**2 + 1/70*p**7. Solve z(v) = 0 for v.
-4, -1, 2
Let l(m) be the second derivative of 5*m**4/3 - 26*m**3/3 - 12*m**2 + 17*m + 38. Factor l(y).
4*(y - 3)*(5*y + 2)
Let z be -35 - (51 - 98 - -8). Solve 3/2*t**z - 6 - 4*t**3 + 14*t - 11/2*t**2 = 0 for t.
-2, 2/3, 1, 3
Let q = -76 + -300. Let r = 753/2 + q. Factor 1/2*d - 1/2*d**3 + 1/2*d**2 - r.
-(d - 1)**2*(d + 1)/2
Suppose 4*u + 331 = -3*o, -72 = 2*o + 3*u + 150. Let x be o/(-28)*((-4)/(-20) + 1). Factor -6 - x*z**2 + 3/2*z**4 + 3*z**3 - 12*z.
3*(z - 2)*(z + 1)**2*(z + 2)/2
Let z(v) = -v**2 + 14*v - 47. Let c be z(7). Factor g**c + 2837 - 58*g - 31*g + 3*g - 988.
(g - 43)**2
Let a = 536966 + -536963. What is u in -6*u**2 + 43/2*u - 15 - 1/2*u**a = 0?
-15, 1, 2
Suppose 5*x + 2*l = 120, -32*x + 3*l = -28*x - 50. Find u such that -8/3 + 44/3*u - x*u**2 = 0.
1/3, 2/5
Suppose 0 = -2*p - 5*f + 52, p + f - 13 = 7. Suppose -4*k - 12 = o, 5*o + k - p = -0*k. Factor 5*y**3 + y**3 + 14*y**2 - 12 + 5*y**2 - 3*y**o - 12*y - 10*y**2.
-3*(y - 2)**2*(y + 1)**2
Let o = -1/53281 - -426255/372967. Factor -o*a**2 + 0*a + 0 - 4/7*a**4 - 12/7*a**3.
-4*a**2*(a + 1)*(a + 2)/7
Let q = -235 + 237. Factor 5*y + 3 + 0 + 3 - 4*y**2 - y + q.
-4*(y - 2)*(y + 1)
Let q(t) be the second derivative of -1/4*t**5 + 0 + 1/6*t**6 + 25*t + 5/42*t**7 + 0*t**3 + 0*t**2 - 5/12*t**4. Solve q(r) = 0 for r.
-1, 0, 1
Let t be ((-1387)/(-95) - 20)*4/(-6). Factor -3*l**3 + 3/5*l**4 + 12/5*l - 24/5 + t*l**2.
3*(l - 2)**3*(l + 1)/5
Solve -15168/5*g + 3/5*g**2 + 19172352/5 = 0 for g.
2528
Let r(y) = -2*y**2 - y + 1. Let w(x) = -x**3 + 38*x**2 - 216*x + 333. Let q be (38 + -36)/((0 - 1)*2). Let c(s) = q*w(s) - 5*r(s). Find g, given that c(g) = 0.
2, 13
Let v be 5*(-8)/(-50)*(-5)/(-2). Let -14*i - v*i + 4*i**2 + 64*i = 0. What is i?
-12, 0
Let u(x) be the first derivative of -5*x**3/3 - 265*x**2 - 14045*x - 1982. Factor u(f).
-5*(f + 53)**2
Suppose -3*l + 11*g + 589 = 9*g, 2*g = 2. Let v = l + -193. Factor 0*r**3 - 2/9*r**v + 2/3*r**2 + 0 - 4/9*r.
-2*r*(r - 1)**2*(r + 2)/9
Let h(y) be the third derivative of -y**5/210 + 13*y**4/21 + 55*y**3/7 - 1191*y**2. Solve h(p) = 0 for p.
-3, 55
Suppose -7948*v - 234 = -8065*v. Factor -216/5*o**3 - 108/5*o**4 - 144/5*o**v - 32/5*o + 0.
-4*o*(3*o + 2)**3/5
Let p(v) = -4*v**2 - 34*v - 4. Let y = -187 + 201. Let h(f) = -f**2 - 7*f - 1. Let r(k) = y*h(k) - 3*p(k). Suppose r(i) = 0. Calculate i.
1
Let r(q) be the second derivative of -1/9*q**3 + 3*q + 1/36*q**4 + 0*q**2 + 19. What is p in r(p) = 0?
0, 2
Let x(q) be the second derivative of -3*q + 11 - 1/18*q**4 + 10/9*q**3 - 3*q**2. Factor x(p).
-2*(p - 9)*(p - 1)/3
Let d(k) be the first derivative of k**4/7 - 260*k**3/21 - 2242*k**2/7 + 4740*k/7 + 5351. Suppose d(h) = 0. What is h?
-15, 1, 79
Let j = -1027/7 - -148. Let i(a) = -3*a**3 + 305*a + 55. Let r be i(-10). Solve -j*c**r + 60/7*c**3 + 0*c**2 + 3/7*c**4 - 96/7*c - 48/7 = 0 for c.
-2, -1, -2/3, 2
Suppose f - 5 = -z, 5 = 4*z - 3. Solve 5*k**3 - 32*k**3 - f*k**4 + 53*k**2 - 77*k**2 = 0.
-8, -1, 0
Let m(w) be the third derivative of w**8/3360 - w**7/1260 - w**6/360 + w**5/60 + 73*w**4/24 + 71*w**2. Let g(y) be the second derivative of m(y). Factor g(o).
2*(o - 1)**2*(o + 1)
Let h(z) = 4*z**3 - 125*z**2 - 488*z + 627. Let a(b) = -50*b**3 + 1628*b**2 + 6346*b - 8152. Let p(r) = -3*a(r) - 38*h(r). Determine d, given that p(d) = 0.
-63, -5, 1
Let g be (-406)/(-87) + (-1)/(-7)*(-57)/(-9). Factor g + 1/7*p**2 + 16/7*p.
(p + 3)*(p + 13)/7
Suppose -z - 6*n + 600 = -10*n, 0 = -3*n - 6. Let y = 595 - z. Find k, given that 2/5*k**y - 14/5*k**2 + 22/5*k - 2 = 0.
1, 5
Factor 11/3*o**3 + 820/3*o**2 + 2738 + 15503/3*o.
(o + 37)**2*(11*o + 6)/3
Suppose 0 = -3*i + 3*f + 6, i + 2*f + 4 = -3*i. Factor 10 - 5*w**2 - 4*w + i + 3*w + 2*w - 6*w.
-5*(w - 1)*(w + 2)
Suppose 0 = 19*u + 12161 - 685. Let c = u - -608. What is l in 0*l - 1/2*l**3 + 0*l**2 + 1/2*l**c + 0 = 0?
0, 1
Let t(b) be the second derivative of -1/84*b**7 + 0*b**3 + 2*b - b**2 - 1/20*b**6 + 7/24*b**4 + 11 + 1/40*b**5. Determine i so that t(i) = 0.
-2, -1, 1
Let w(q) = -7*q - 50*q - 6060 - 2*q**2 + 6037. Let c be w(-28). Factor 2/5*j**2 + 0 - 2/5*j**c + 0*j - 2/5*j**4 + 2/5*j**3.
-2*j**2*(j - 1)*(j + 1)**2/5
Let g be 4/(-42) + 535/105. Let t(x) be the first derivative of -5*x**3 + 5 - g*x - 5/4*x**4 - 15/2*x**2. Factor t(j).
-5*(j + 1)**3
Suppose a = 2, -85*s - 5*a + 12 = -84*s. Suppose 0*k + 2/15*k**3 + 0 + 4/15*k**s = 0. What is k?
-2, 0
Find w, given that -1389/4*w**2 - 1599/2*w + 2301/4*w**4 - 228 + 15/4*w**5 + 3183/4*w**3 = 0.
-152, -1, -2/5, 1
Suppose -1830 = 57*l - 691*l + 24*l. Factor 16/3 + 2/3*w**l - 16/3*w**2 - 2/3*w.
2*(w - 8)*(w - 1)*(w + 1)/3
Let u(t) be the second derivative of 3 + 2/25*t**6 - 9/25*t**5 + 33*t + 1/10*t**4 - 9/5*t**2 + 1/70*t**7 + 11/10*t**3. Factor u(y).
3*(y - 1)**3*(y + 1)*(y + 6)/5
Let n = -1/64283 + 24941859/3535565. Let g = n + -60/11. What is q in g - 1/5*q**3 + 6/5*q**2 - 12/5*q = 0?
2
Suppose -5*m = -2*x - 15 - 4, 0 = -3*m + x + 11. Suppose -4*z + m*n = 7*n + 8, 0 = 2*z - n - 2. Find l such that z*l + 0 + 1/2*l**3 + 0*l**2 = 0.
0
Let h(c) be the first derivative of -c**5/330 + c**4/44 - 2*c**3/33 - 75*c**2/2 + 23. Let f(r) be the second derivative of h(r). Factor f(v).
-2*(v - 2)*(v - 1)/11
Let d(x) be the second derivative of 3/5*x**2 + 0 - 3/25*x**5 + 13/300*x**6 + 17/15*x**3 - 71*x - 23/40*x**4. Solve d(f) = 0.
-2, -2/13, 1, 3
Factor 38 - 132 - 208 + 32 + 3*r + 3*r**2.
3*(r - 9)*(r + 10)
Let x(f) be the first derivative of -5*f**4 + 452*f**3/3 + 332*f**2 + 192*f + 352. Let x(b) = 0. What is b?
-1, -2/5, 24
Let j(p) be the third derivative of 6889*p**6/120 + 10292*p**5/15 - 995*p**4/24 + p**3 - 3663*p**2. Suppose j(r) = 0. Calculate r.
-6, 1/83
Factor -138*q - 3/2*q**3 - 168 - 30*q**2.
-3*(q + 2)*(q + 4)*(q + 14)/2
Let x(w) be the second derivative of -w**5/40 - 3*w**4/4 - 11*w**3/4 - 80*w**2 + 6*w. Let u(m) be the first derivative of x(m). Suppose u(q) = 0. Calculate q.
-11, -1
Let c(j) be the first derivative of -j**5/15 + j**4/12 + 25*j**3/3 + 175*j**2/6 - 250*j/3 + 2590. Determine d so that c(d) = 0.
-5, 1, 10
Let m(a) be the second derivative of 1/10*a**6 + 47/4*a**4 + 63/20*a**5 + 4*a + 12 + 18*a**2 - 1/14*a**7 + 20*a**3. Find l such that m(l) = 0.
-2, -1, 6
Let x(n) be the second derivative of -n**6/50 + 57*n**5/50 - 123*n**4/5 + 1157*n**3/5 - 5577*n**2/10 + 10*n - 300. Suppose x(a) = 0. Calculate a.
1, 11, 13
Suppose 0 = 2*u - 2*m - 6, -4*u + 5*m = 2*m - 12. Let -24*s**2 - 10*s**3 - 3*s**4 - 6*s - 5*s**3 + 0*s**u - 6*s = 0. Calculate s.
-2, -1, 0
Let r = 28/531 - -10/59. Suppose 4*b - 4*p + 4546 = 4546, -7*p = 0. Factor b + 2/9*k**3 + r*k**4 + 0*k - 4/9*k**2.
2*k**2*(k - 1)*(k + 2)/9
Let r(g) be the third derivative of 18*g + 22/105*g**7 + 0*g**3 - 9/5*g**5 + 0*g**4 - g**2 + 1/2*g**6 + 1/84*g**8 + 0. Factor r(c).
4*c**2*(c - 1)*(c + 3)*(c + 9)
Let b(c) be the third derivative of -c**8/1344 - c**7/840 + c**6/96 + c**5/240 - c**4/12 + c**3/6 + 543*c**2. Factor b(k).
-(k - 1)**3*(k + 2)**2/4
Let a(d) be the first derivative of d**4/24 - 43*d**3/9 