) = 0. Calculate d.
-2, 0, 2
Suppose 28 - 20 = 2*f. Find r, given that 0*r**f - 2*r**4 + 3*r**2 - 3*r**4 + 2*r**2 = 0.
-1, 0, 1
Let z(x) = -x. Let t(g) = g**2 + 1. Let s(o) = 2*o**2 + 2*o + 4. Let q(y) = -s(y) + 3*t(y). Let k(p) = q(p) - 2*z(p). What is u in k(u) = 0?
-1, 1
Let d(t) = 3*t**5 + t**4 + 3*t**2 - t - 1. Let r(b) = 14*b**5 + 9*b**4 + 3*b**3 + b**2 + 3*b - 5. Let g(s) = -15*d(s) + 3*r(s). Solve g(f) = 0.
-2, 0, 1, 4
Let s be (2772/(-55))/(-12) - (4/(-20))/(-1). What is x in 56/11*x**2 - 62/11*x + 12/11 + 2/11*x**3 - 8/11*x**s = 0?
-3, 1/4, 1, 2
Let q(u) = -u - 1. Let l be q(-1). Suppose l = -n - 2*i + 3 + 10, n + 7 = 2*i. Let -n*p - 9/2 - 1/2*p**2 = 0. What is p?
-3
Suppose 2*t = 7 + 1. Factor -4*k**2 + k**2 - 4*k**2 + 5*k**3 + 11*k**4 - 12*k**t + 3*k.
-k*(k - 3)*(k - 1)**2
Let m(j) = j**3 + 13*j**2 - 29*j + 19. Let v = -104 + 89. Let w be m(v). Factor 0 - 1/6*u**2 + 1/6*u**w + 1/6*u - 1/6*u**3.
u*(u - 1)**2*(u + 1)/6
Let w(x) = -4*x**2 - 6*x + 6. Let y(a) = a + 1. Let j(b) = w(b) + 2*y(b). Solve j(s) = 0 for s.
-2, 1
Suppose -3*d - 3*k + 30 = 0, 0 = 3*d + 2*k + 9 - 33. Factor 0*w**3 + 0*w - 2/13 - 2/13*w**d + 4/13*w**2.
-2*(w - 1)**2*(w + 1)**2/13
Suppose -h = 5*h - 318. Let v = 55 - h. Factor 180/11*l**v + 54/11 - 2/11*l**5 + 2*l**4 - 92/11*l**3 - 162/11*l.
-2*(l - 3)**3*(l - 1)**2/11
Let x be -5*2 - (7656/(-84) + 40). Factor 2/7*m**2 - 48/7*m + x.
2*(m - 12)**2/7
Let n(k) = 9*k**2 - 33*k + 123. Let g be (-32)/(-6) - (-2 - 42/(-18)). Let h(q) = 2*q**2 - 8*q + 31. Let a(s) = g*n(s) - 21*h(s). Let a(i) = 0. Calculate i.
-4, 3
Let z(n) = n**2 - 33*n + 65. Let c be z(31). Let s(i) be the first derivative of 9/4*i**4 + 0*i - 1 - 3/5*i**5 - c*i**3 + 3/2*i**2. Factor s(o).
-3*o*(o - 1)**3
Let s(u) be the second derivative of -21/10*u**6 + 2/7*u**7 - 6*u - 3*u**2 + 15/2*u**3 - 37/4*u**4 + 0 + 123/20*u**5. Factor s(x).
3*(x - 2)*(x - 1)**3*(4*x - 1)
Determine c so that -5/8*c**2 + c + 13/8 = 0.
-1, 13/5
Suppose -12*d = -3*d. Let k(o) be the third derivative of -1/165*o**5 + 0 - 6*o**2 - 1/132*o**4 + d*o + 2/33*o**3 + 1/660*o**6. Let k(w) = 0. What is w?
-1, 1, 2
Let g = -183/10 + 11253/610. Let k = 111/488 + g. Suppose k*y**2 + 3/4*y + 0 = 0. What is y?
-2, 0
Factor 9970*u**2 - 5009*u**2 + 34*u**4 - 4995*u**2 - u**5 - 32*u**3 + 33*u.
-u*(u - 33)*(u - 1)**2*(u + 1)
Let c be 3*10/(-15) + 5. Let i(t) be the third derivative of -1/120*t**5 + 0*t**c + 1/420*t**7 + 4*t**2 + 1/48*t**4 + 0*t - 1/240*t**6 + 0. Factor i(d).
d*(d - 1)**2*(d + 1)/2
What is x in -4418/7 + 4230/7*x + 2/7*x**3 + 186/7*x**2 = 0?
-47, 1
Let y be (12/14)/(75/35). Let k(o) be the first derivative of 2 + 0*o**3 + 1/20*o**4 - 3/10*o**2 - y*o. Factor k(w).
(w - 2)*(w + 1)**2/5
Let p(m) = -3*m**3 + 37*m**2 - 50*m. Let u(c) = 2*c**3 - 25*c**2 + 33*c. Let i(z) = -5*p(z) - 8*u(z). Let h be i(14). Factor h + 7*d - 2*d**2 - 4 + 0*d - d.
-2*(d - 2)*(d - 1)
Let o(i) = i**2 + i + 1. Let l be (-2 - 0)*-2 - (2 - 1). Let k(d) = 7*d**2 + 16*d + 6. Let g(y) = l*o(y) - k(y). Determine h so that g(h) = 0.
-3, -1/4
Let r(n) be the second derivative of -3*n**5/160 - n**4/4 + 9*n**3/16 + 3*n + 9. Suppose r(c) = 0. Calculate c.
-9, 0, 1
Let q be 3298/(-20) - -3*(-14)/(-105). Let d = 165 + q. Factor 0*m + 0 - 1/2*m**2 + d*m**3.
m**2*(m - 1)/2
Let r(i) be the third derivative of -i**5/180 + i**3/18 + i**2 + 50. Factor r(m).
-(m - 1)*(m + 1)/3
Let x(z) be the first derivative of 4*z**3/15 - 8*z**2/5 - 128*z/5 - 154. Factor x(c).
4*(c - 8)*(c + 4)/5
Factor 16/7*f + 0 + 36/7*f**2 - 10/7*f**3.
-2*f*(f - 4)*(5*f + 2)/7
Suppose 15 + 3*d - 30*d**3 - 5*d**4 + 11*d - 10*d**2 + 9*d + 5*d**5 + 2*d = 0. Calculate d.
-1, 1, 3
Let f(i) = 17*i**2 - 80*i + 146. Let s(b) = -8*b**2 + 40*b - 74. Let v(q) = 3*f(q) + 7*s(q). Factor v(r).
-5*(r - 4)**2
Find s, given that -s**4 + 247*s**2 - 126*s**2 - 120*s**2 - s**5 + 3*s**3 - 2*s**3 = 0.
-1, 0, 1
Let k(q) be the second derivative of q**7/504 + q**6/72 + q**5/24 - q**4/6 + 12*q. Let i(y) be the third derivative of k(y). Suppose i(f) = 0. Calculate f.
-1
Let m(q) = 2*q - 4. Let h be m(6). Solve -3*x**3 - 7*x + x**4 + 14*x + 3*x**2 - h*x = 0.
0, 1
Factor 127449*u + 678*u**2 + 3532426 + 51*u**2 + 342*u**2 + 3*u**3 + 1523051.
3*(u + 119)**3
Let p(v) be the first derivative of -5*v**5 + 0*v - 35 - 5/2*v**2 - 5*v**3 + 45/4*v**4. Determine z so that p(z) = 0.
-1/5, 0, 1
Suppose 20 = 2*z + 3*z. Suppose z = 3*k - 5*k. Let m(q) = 3*q**2 - 2*q + 3. Let u(v) = 4*v**2 - 2*v + 4. Let s(l) = k*u(l) + 3*m(l). Factor s(h).
(h - 1)**2
Let b(q) be the second derivative of -q**6/15 + 9*q**5/5 - 39*q**4/2 + 108*q**3 - 324*q**2 - 150*q. Solve b(t) = 0 for t.
3, 6
Let x be (10/(-120))/((-5)/10). Let l(o) be the first derivative of 1/12*o**4 - 1/3*o + 1/9*o**3 - x*o**2 - 10. Factor l(h).
(h - 1)*(h + 1)**2/3
Let v = 151/70 + -23/35. Let d(a) = a - 5. Let w be d(6). Find g such that w + v*g + 0*g**2 - 1/2*g**3 = 0.
-1, 2
Let p(r) be the first derivative of 338*r + 2/3*r**3 - 6 - 26*r**2. Determine s so that p(s) = 0.
13
Let g = 433 + -428. Let x(n) be the second derivative of -1/60*n**6 - n - 3/40*n**g + 0 - 1/12*n**3 - 1/8*n**4 + 0*n**2. Factor x(v).
-v*(v + 1)**3/2
Let t(o) be the first derivative of -o**4 + 116*o**3 + 354*o**2 + 356*o + 79. Factor t(y).
-4*(y - 89)*(y + 1)**2
Factor -11*f**2 - 8*f**2 - 14*f**2 + 38*f**2 - 420*f + 8820.
5*(f - 42)**2
Let y(a) = 6*a**3 + 37*a**2 + 6*a. Let w be y(-6). Let m(u) be the second derivative of 0*u**4 + 2/15*u**6 + w*u**3 + 0*u**2 + 7*u + 0 - 2/5*u**5. Factor m(b).
4*b**3*(b - 2)
Let q(t) be the first derivative of 2*t**6/15 - 4*t**5/25 - t**4 - 4*t**3/5 - 287. Suppose q(l) = 0. Calculate l.
-1, 0, 3
Let z = 96 - 287/3. Let 0*r**3 - 1/3*r**2 + 0*r + z*r**4 + 0 = 0. What is r?
-1, 0, 1
Let a(v) be the first derivative of -9/4*v - 1/12*v**3 + 3/4*v**2 + 5. What is n in a(n) = 0?
3
Let x(t) = t**3 - 4*t**2 + 3. Let g be x(4). Factor 35*s**2 - s**5 + 0*s**5 - 10*s + 13*s**4 - 45*s**g + 12*s**4 - 4*s**5.
-5*s*(s - 2)*(s - 1)**3
Let d(l) be the first derivative of 4*l**5/35 + 270*l**4/7 + 73972*l**3/21 + 72360*l**2/7 + 71824*l/7 + 263. Let d(u) = 0. Calculate u.
-134, -1
Let k(r) be the first derivative of r**6/2 - 24*r**5/5 + 12*r**4 - 504. Suppose k(a) = 0. Calculate a.
0, 4
Let w(k) be the first derivative of -k**8/560 + k**7/140 - k**6/120 + 14*k**3/3 + 10. Let q(x) be the third derivative of w(x). Let q(a) = 0. Calculate a.
0, 1
Let l(r) = 4*r**3 - 16*r**2 + 4*r - 4. Let n = 4 + -3. Let q(v) = 169*v - 1 + 2*v**2 - 170*v - 3*v**2. Let b(h) = n*l(h) - 4*q(h). Find d such that b(d) = 0.
0, 1, 2
Suppose 0 = -8*c + 50 - 26. Let a(r) be the second derivative of -1/30*r**4 + 5*r + 2/15*r**c + 0 - 1/5*r**2. Find p, given that a(p) = 0.
1
Let g(s) be the first derivative of -2*s**6/3 + 2*s**5/3 - 5*s**4/24 - 11*s**2/2 + 16. Let k(j) be the second derivative of g(j). Suppose k(f) = 0. What is f?
0, 1/4
Suppose 3*b + 15 = 15. Let p(g) be the second derivative of 0*g**2 - 2/3*g**3 + b + 4*g + 1/6*g**4. Factor p(d).
2*d*(d - 2)
Suppose 39/5*f + 3/5*f**2 - 42/5 = 0. What is f?
-14, 1
Let z(c) be the second derivative of 0 - 11*c + 2/7*c**4 - 16/7*c**3 - 1/70*c**5 + 64/7*c**2. Solve z(d) = 0.
4
Let v(d) = -3*d + 2. Suppose 0 = 2*n - r - 3*r + 20, 2*r - 10 = 4*n. Let j be v(n). Find f such that -1/4*f**3 + 1/4*f + 0 + 0*f**j = 0.
-1, 0, 1
Suppose -316 = 31*p + 118. Let k be -2*(2/8 - p/(-8)). Factor 4*y**2 - 3/2*y**3 + 5/2*y - k.
-(y - 3)*(y + 1)*(3*y - 2)/2
Let k(a) be the second derivative of -a**6/24 - 3*a**5/4 - 45*a**4/8 - 45*a**3/2 + 2*a**2 + 23*a. Let o(t) be the first derivative of k(t). Factor o(j).
-5*(j + 3)**3
Let j = 807/26 - 384/13. Factor -12*z - j*z**3 - 15/2*z**2 - 6.
-3*(z + 1)*(z + 2)**2/2
Let a(z) be the second derivative of z**6/6 + 3*z**5/20 - z**4 + 2*z**3/3 - 3*z + 3. Factor a(p).
p*(p - 1)*(p + 2)*(5*p - 2)
Suppose -5*p + 2 + 8 = 0. Suppose -4*o - 81 = -81. Factor 13*b**p - 8 + o*b**2 - 11*b**2.
2*(b - 2)*(b + 2)
Let c(t) be the first derivative of t**5/50 - t**4/5 + 3*t**3/5 - 28*t - 22. Let v(k) be the first derivative of c(k). Factor v(y).
2*y*(y - 3)**2/5
Let j(f) be the first derivative of 1/8*f**6 + 0*f**2 + 3/20*f**5 + 0*f - 3/16*f**4 - 1/4*f**3 - 5. Factor j(z).
3*z**2*(z - 1)*(z + 1)**2/4
Let m(h) be the third derivative of -h**5