-1. Suppose -5*l - 5*d + 27 = -2*l, -29 = -5*l - 3*d. Solve 6*w**3 - 3*w**2 + 3*w + w**4 + t*w**l - 9*w = 0 for w.
-2, -1, 0, 1
Let f = -11926/13 - -918. Let n(o) = o**3 + 4*o**2 - 10*o - 23. Let q be n(-5). Solve 4/13 + 2*l**q + 22/13*l + f*l**3 = 0 for l.
-2, -1, -1/4
Let x(h) be the second derivative of 0*h**2 + 5/3*h**3 + 0 + 15/4*h**4 - 5*h. Solve x(c) = 0 for c.
-2/9, 0
Let g(j) = -j**2 + 4*j. Let c be g(7). Let s = -18 - c. Factor -24*t**2 - 2*t**3 + 2*t**3 - 32 - 4*t**s - 48*t.
-4*(t + 2)**3
Let c = 9943 + -9941. Let 16/5*p**c + 4/5*p + 4/5*p**5 - 8/5 - 8/5*p**4 - 8/5*p**3 = 0. What is p?
-1, 1, 2
Let k(a) = -a**5 + a**4 + 2*a**3 + a + 1. Let c(w) = 6*w**5 + 30*w**4 + 24*w**3 - 3*w - 3. Let z(q) = -c(q) - 3*k(q). Find j such that z(j) = 0.
-10, -1, 0
Factor 40 - 21 + 27*g**3 - 68*g**4 - 73 - g**5 - 428*g**2 + 255*g**3 + 287*g - 18.
-(g - 1)**4*(g + 72)
Determine g, given that 5/9*g + 1/9*g**2 + 2/3 = 0.
-3, -2
Let t(i) = -i**3 + i - 1. Let w(r) = -r**4 + r**3 - 6*r**2 - 9*r - 1. Let g(v) = 5*t(v) + w(v). Let z(x) be the first derivative of g(x). Factor z(l).
-4*(l + 1)**3
Let -12/5*c**4 + 108/5*c**2 - 18/5*c**3 + 3/5*c**5 + 0 - 81/5*c = 0. What is c?
-3, 0, 1, 3
Let a(z) = -6*z**3 + 66*z**2 - 303*z - 354. Let f(y) = -7*y**3 + 67*y**2 - 305*y - 351. Let w(r) = -4*a(r) + 3*f(r). Factor w(x).
3*(x - 11)**2*(x + 1)
Let k(f) be the third derivative of f**8/1680 - f**7/175 + f**6/600 + 2*f**5/25 + 2*f**4/15 + 6*f**2 - 33. Factor k(u).
u*(u - 4)**2*(u + 1)**2/5
Let s(f) be the first derivative of f**4/16 + 13*f**3/6 + 24*f**2 + 72*f - 199. Factor s(h).
(h + 2)*(h + 12)**2/4
Factor -7*p + 63*p**3 + p**2 - 21*p**3 - 16*p**3 - 19*p**3 - p**4.
-p*(p - 7)*(p - 1)*(p + 1)
Let p(q) = 5*q - 9. Let m be p(6). Suppose -40*v - 77 - 4*v**2 - 2 - m = 0. Calculate v.
-5
Let d(q) be the first derivative of -q**5 + 15*q**4 + 5*q**3 - 95*q**2 + 120*q - 540. Suppose d(p) = 0. Calculate p.
-2, 1, 12
Let n(w) be the third derivative of w**9/756 - w**7/35 + 4*w**6/45 - w**5/10 - 11*w**3/2 - 39*w**2. Let t(i) be the first derivative of n(i). Factor t(j).
4*j*(j - 1)**3*(j + 3)
Suppose 0 = 5*b - 3*b - 4. Let r(a) be the second derivative of a**b + 0*a**3 + 0 + 1/15*a**6 + 0*a**5 - 4*a - 1/3*a**4. Factor r(f).
2*(f - 1)**2*(f + 1)**2
Let c(k) be the second derivative of 1/18*k**4 + 5/9*k**2 + 1/90*k**5 - 1 - 1/3*k**3 - 25*k. Determine y, given that c(y) = 0.
-5, 1
Let n(s) be the second derivative of 13*s**7/28 - 7*s**6/8 - 57*s**5/80 + 37*s**4/16 - 7*s**3/8 - 3*s**2/4 - 50*s + 2. Determine j so that n(j) = 0.
-1, -2/13, 1/2, 1
Let k = 25 + -19. Suppose -4*h = -2*h - k. Find w, given that 3*w**4 + 2*w**3 - 4*w**4 - h*w**3 = 0.
-1, 0
Let i(p) be the first derivative of 6*p**5/5 - 5*p**4 + 6*p**3 - 2*p**2 + 132. Factor i(m).
2*m*(m - 2)*(m - 1)*(3*m - 1)
Let q be 60/(-175) + ((-48)/20)/(-6). Let g(v) be the first derivative of 1/7*v**4 - 2/21*v**3 + 0*v - 3 + 0*v**2 - q*v**5. Determine w so that g(w) = 0.
0, 1
Let -6*r**4 - r**5 - 778 + 778 - 5*r**3 = 0. Calculate r.
-5, -1, 0
Factor -4/5*i**3 + i**2 + 1/5*i**4 + 0 - 2/5*i.
i*(i - 2)*(i - 1)**2/5
Let u(o) = -9582*o**4 - 10347*o**3 - 441*o**2 + 417*o + 66. Let n(k) = 737*k**4 + 796*k**3 + 34*k**2 - 32*k - 5. Let d(t) = -27*n(t) - 2*u(t). Solve d(g) = 0.
-1, -1/7, 1/5
Let p = -2923/30 - 149/10. Let t = 113 + p. Factor -t*l**2 + 4/3 + 2/3*l.
-2*(l - 2)*(l + 1)/3
Let u(a) = -35*a + 528. Let o be u(15). Find y, given that 25/2*y**2 + 10 - 20*y - 5/2*y**o = 0.
1, 2
Let o(n) be the second derivative of -n**5/140 - 5*n**4/42 + n**3/42 + 5*n**2/7 + 27*n - 2. Suppose o(s) = 0. Calculate s.
-10, -1, 1
Let b be (-3)/(-24)*-2*(-2)/3. Let p(m) be the second derivative of 1/8*m**4 + 1/120*m**6 + 0 + 1/20*m**5 - 15*m + 1/8*m**2 + b*m**3. Let p(o) = 0. What is o?
-1
Let f(p) = 3*p**3 + 2*p**2 - 21*p - 22. Let t(v) = v**3 + 2*v**2 - 2. Let l(j) = f(j) - 2*t(j). Factor l(s).
(s - 6)*(s + 1)*(s + 3)
Let f(j) be the third derivative of j**5/330 + j**4/33 - 5*j**3/33 + 307*j**2. Factor f(d).
2*(d - 1)*(d + 5)/11
What is n in -316/5*n + 4*n**4 - 5*n**5 + 521/5*n**3 + 16 + 16*n**2 = 0?
-4, -1, 2/5, 5
Let d = -1/2647 - -10591/7941. Find b, given that -2/3*b**2 + 1/3*b**4 - 4*b + d*b**3 + 3 = 0.
-3, 1
Let o(j) be the first derivative of -3*j**7/70 + j**6/10 + j**5/20 - j**4/4 + 2*j**2/5 + 2*j + 31. Let k(q) be the first derivative of o(q). Factor k(s).
-(s - 1)**3*(3*s + 2)**2/5
Let o(a) be the first derivative of 5*a**3/3 - 20*a**2 + 60*a + 440. Find x, given that o(x) = 0.
2, 6
Let r = -23 - -25. Let g(n) = -n**3 + 7*n**2 + 17*n + 4. Let t = -11 - -6. Let i(q) = 4*q**2 + 8*q + 2. Let x(f) = r*g(f) + t*i(f). Let x(m) = 0. Calculate m.
-1
Let b be (5/3)/(43/129). Let o = 39 + -35. Suppose -4/13*y - 34/13*y**o - 2*y**2 - 48/13*y**3 + 0 - 8/13*y**b = 0. Calculate y.
-2, -1, -1/4, 0
Let x(n) be the first derivative of n**4/14 - 2*n**3/21 - 2*n**2/7 + 189. What is g in x(g) = 0?
-1, 0, 2
Let p be 225 + -210 - 178/12. Factor -1/3*a + 0 - 1/6*a**2 + p*a**3.
a*(a - 2)*(a + 1)/6
Factor -1/8*w**2 - 3/8 - 1/8*w**3 + 5/8*w.
-(w - 1)**2*(w + 3)/8
Let m = 2/2631 - -259/43850. Let h(v) be the third derivative of -1/15*v**4 + 1/300*v**6 + 0 + m*v**5 - 2*v**2 - 4/15*v**3 + 0*v. Factor h(t).
2*(t - 2)*(t + 1)*(t + 2)/5
Let c(q) be the second derivative of q**6/3 + 39*q**5/5 + 60*q**4 + 434*q**3/3 + 147*q**2 + 259*q. Suppose c(j) = 0. Calculate j.
-7, -1, -3/5
Let y(i) = -2*i**4 - 3*i**3 + i**2 + i. Let b(v) = 36*v**4 + 48*v**3 - 8*v**2 + 8*v - 24. Let m(k) = b(k) + 20*y(k). Factor m(a).
-4*(a - 1)**2*(a + 2)*(a + 3)
Let h(a) = 20*a**4 - 42*a**3 - 438*a**2 - 1264*a - 870. Let l(b) = -43*b**4 + 85*b**3 + 876*b**2 + 2528*b + 1741. Let x(c) = 13*h(c) + 6*l(c). Factor x(y).
2*(y - 27)*(y + 1)*(y + 4)**2
Let d(n) be the first derivative of n**5/60 - n**3/18 - 2*n + 8. Let x(r) be the first derivative of d(r). Find j, given that x(j) = 0.
-1, 0, 1
Let p = -64669271/396 - -163306. Let r = 1/99 - p. Factor 0 + u**2 - 1/4*u - r*u**5 - 3/2*u**3 + u**4.
-u*(u - 1)**4/4
Let z(h) = -3*h**3 - 93*h**2 - 120*h + 727. Let w(b) = 2*b**3 + 47*b**2 + 60*b - 363. Let n(t) = -7*w(t) - 3*z(t). Let n(k) = 0. Calculate k.
-6, 2
Let p(x) be the first derivative of 2*x**3/51 + 11*x**2/17 + 56*x/17 + 21. Suppose p(t) = 0. Calculate t.
-7, -4
Let i be ((-276)/(-30) - -6) + -12. Factor -i - 12/5*y**2 - 2/5*y**3 - 24/5*y.
-2*(y + 2)**3/5
Find f such that 12/5 + 38/5*f + 12/5*f**3 - 4/5*f**4 + 8*f**2 - 2/5*f**5 = 0.
-2, -1, 3
Let t(h) be the third derivative of h**5/300 - h**4/24 - h**3/5 + 193*h**2. Let t(f) = 0. What is f?
-1, 6
Let h(a) be the first derivative of 4*a**3/3 + a**2 + a - 6. Let m be h(-1). Determine v so that 3*v**2 - 17*v + 11*v - v**2 + m + v**2 = 0.
1
Suppose -3*a = -12*a + 414. Factor a - 4*l**3 - 28*l + 11*l**2 - 34 + 9*l**2.
-4*(l - 3)*(l - 1)**2
Suppose 5*b = -2*w + 23, 0 = 2*w + 3*b - 12 - 13. Let f(i) = -i**2 + 12*i + 28. Let o be f(w). Factor o*g - 2/3*g**2 + 2/3.
-2*(g - 1)*(g + 1)/3
Let q be ((-5)/(-6)*-2)/(1/(-3)). Let g(k) = 3*k**2 - 12*k - 12. Let h(r) = -r**2 + r - 1. Let t(f) = q*g(f) + 20*h(f). Let t(i) = 0. What is i?
-4
Let h be (-132)/(-110) + (-2)/10 - -3. Factor -14/17*o**2 + 10/17*o**3 - 2/17*o**h + 6/17*o + 0.
-2*o*(o - 3)*(o - 1)**2/17
Suppose 1346*i**2 - 29575*i + 5*i**5 + 4225 - 2382*i**2 - 185*i**4 + 591*i**2 + 2130*i**3 + 28730 - 4885*i**2 = 0. What is i?
-3, 1, 13
Let y(o) = 556*o + 5565. Let m be y(-10). Solve 2/17*z**m + 0 - 2/17*z**2 + 0*z - 2/17*z**3 + 2/17*z**4 = 0 for z.
-1, 0, 1
Let g(u) = -u**3 + 308 - 16*u**2 + 16*u + 0*u**3 + 305 - 630. Let d be g(-17). Factor 24*n**3 + d - 36*n**2 + 27/2*n.
3*n*(4*n - 3)**2/2
Let p(q) be the second derivative of -q**8/2520 + q**7/315 + 11*q**6/540 + q**5/30 - 11*q**3/3 + 26*q. Let c(v) be the second derivative of p(v). Factor c(s).
-2*s*(s - 6)*(s + 1)**2/3
Let o(l) be the second derivative of -l**4/78 - 31*l**3/39 + 32*l**2/13 + 5*l - 35. Suppose o(u) = 0. Calculate u.
-32, 1
Suppose -5/6*n**2 + 1/2 + 1/3*n**4 - 1/6*n + 1/6*n**3 = 0. What is n?
-3/2, -1, 1
Let j(w) be the second derivative of w**6/60 - w**4/12 + w**2/4 + 74*w. Find y such that j(y) = 0.
-1, 1
Let b = -10257 + 10259. Factor 3/4*r**b - 3/4 + 0*r.
3*(r - 1)*(r + 1)/4
Let q(p) be the first derivative of 4*p**3/3 + 8*p**2 + 55. Deter