2)*(t - 1)**4
Solve 14*t**3 + 40/3 - 38/3*t**2 - 2/3*t**4 - 14*t = 0 for t.
-1, 1, 20
Factor -36 + 30*w - 4*w**2 - 10 - 2 + 2*w.
-4*(w - 6)*(w - 2)
Let d be (-130)/(-25) + (-2)/10. Solve 8/7*z**3 - 2/7*z**d + 0*z**4 - 6/7*z + 4/7 - 4/7*z**2 = 0.
-2, -1, 1
Suppose -5*y = -4*p + 8*p - 60, 0 = y - 5*p + 17. Let 16/3 + 2*t**3 - y*t - 4/3*t**2 = 0. What is t?
-2, 2/3, 2
Let k(l) = -l**2 + 7*l + 6. Let m be k(7). Solve -21*q**2 + 9*q**3 - q + 3 + 0*q + 16*q - m = 0 for q.
1/3, 1
Let t be -55*(-7 + 170/25) + 0. Let q(r) be the first derivative of 0*r + 5/3*r**3 + t + 5/4*r**4 + 0*r**2. Factor q(u).
5*u**2*(u + 1)
Let o(c) be the third derivative of c**5/120 - c**4/48 - c**3/6 - 175*c**2. Find k such that o(k) = 0.
-1, 2
Let o(d) be the second derivative of -3/40*d**6 - 42*d + 3*d**2 + 57/80*d**5 - 13/6*d**3 - 5/24*d**4 + 0. Find w, given that o(w) = 0.
-1, 2/3, 6
Let v(y) be the second derivative of -3*y + y**2 + 5/12*y**4 + 0 + 7/6*y**3. Factor v(f).
(f + 1)*(5*f + 2)
Let g(m) be the third derivative of -5*m**5/12 - 5*m**4/4 - 2*m**2 + 82*m. Factor g(h).
-5*h*(5*h + 6)
Let h(m) be the first derivative of 2*m**3/39 - 24*m**2/13 + 288*m/13 + 98. Solve h(s) = 0.
12
Determine j so that 0 + 168/5*j**3 + 2*j**5 - 74/5*j**4 - 136/5*j**2 + 32/5*j = 0.
0, 2/5, 1, 2, 4
Let j be 511/105 + 6/45 + 0. Let k(c) be the first derivative of -1/2*c**3 - 2*c**4 + 7/10*c**j + 4*c**2 - 1 - 2*c. Solve k(r) = 0 for r.
-1, 2/7, 1, 2
Let n be (-4)/(-30)*-14*(-36)/42. Factor -n*j - 2/5*j**2 - 6/5.
-2*(j + 1)*(j + 3)/5
Let t = -94 - -162. Suppose -t - 4*b**2 + 137 - 20*b - 69 = 0. What is b?
-5, 0
Solve 3/4*r**2 + 9/2 + 15/4*r = 0.
-3, -2
Let w(a) = -7*a**4 - 3*a**3 + 15*a**2 - 5*a. Let x(o) = o**4 - 2*o**2 + o. Let v(y) = 5*w(y) + 40*x(y). Factor v(n).
5*n*(n - 3)*(n - 1)*(n + 1)
Let j(m) be the first derivative of 0*m + 11 - 2/27*m**3 - 1/9*m**2. Factor j(b).
-2*b*(b + 1)/9
Let c be 10880/3927 + 4/(-14). Let i = c - 20/11. Factor -i*q**5 + 0*q**3 + 0 - 4/3*q**2 + 2/3*q + 4/3*q**4.
-2*q*(q - 1)**3*(q + 1)/3
Let w(h) be the third derivative of 8/27*h**3 + 11/9*h**4 + 0 + 121/45*h**5 - 24*h**2 + 0*h + 1331/540*h**6. Solve w(c) = 0.
-2/11
Let o = 24 + -20. Let i be (52/16 - 3)*o. Find h such that 8 - 6*h + 8*h**2 - 11 + i = 0.
-1/4, 1
Suppose 2*l - 2*j + 275 = 295, -18 = -5*l + j. Let -2/9*v + 1/9 + 2/9*v**3 + 0*v**l - 1/9*v**4 = 0. Calculate v.
-1, 1
Factor -8/7*m - 20/7*m**2 + 4/7*m**4 + 0 + 4/7*m**5 - 12/7*m**3.
4*m*(m - 2)*(m + 1)**3/7
Let o(p) = 126*p**3 + 162*p**2 - 694*p - 424. Let l(x) = -14*x**3 - 18*x**2 + 77*x + 48. Let d(f) = 52*l(f) + 6*o(f). Find a, given that d(a) = 0.
-3, -2/7, 2
Let i be (-2)/3*(-345)/690. Factor -2/3 - i*n**2 + n.
-(n - 2)*(n - 1)/3
Let j be (-1750)/(-450) - 2/(-18). Factor 0*g**3 - 1/2*g**j + 0*g - 1/2 + g**2.
-(g - 1)**2*(g + 1)**2/2
Factor 3*v**2 + 4/3*v + 2*v**3 + 0 + 1/3*v**4.
v*(v + 1)**2*(v + 4)/3
Let q be (133 - -3) + -2 + -1. Determine z so that 13 + 108*z**2 - 84*z - q*z - 8*z**3 - 209 - 119*z = 0.
-1/2, 7
Suppose 0*b - 4*t - 26 = -5*b, -5*b + 28 = -2*t. Suppose -b = -5*v + 9. Factor -3 + g**2 + v + 2*g.
g*(g + 2)
Let p(r) = 3*r - 5. Let a be p(5). Let u = -8 + a. Determine l, given that 3 - u - 3 - 3*l - l**2 = 0.
-2, -1
Factor -25/2*b**2 - 1/2*b**4 + 0 + 7*b**3 + 6*b.
-b*(b - 12)*(b - 1)**2/2
Let r = 64 + -149. Let y = -83 - r. Determine j, given that 4/5*j + 4/5*j**y - 8/5 = 0.
-2, 1
Let k(y) = y**3 - 3*y + 4. Let v(g) = 3*g**3 - 8*g + 11. Let f(c) = -8*k(c) + 3*v(c). Let u(d) = -4*d**5 - 4. Let j(x) = -4*f(x) - u(x). Factor j(m).
4*m**3*(m - 1)*(m + 1)
Factor -1/8*u**2 + 23/8*u - 11/4.
-(u - 22)*(u - 1)/8
Let z(d) be the second derivative of -d**4/12 - 3*d**3 - 29*d**2/2 - 2*d + 81. Let t be z(-16). Find v, given that 0*v**2 + 0 - 1/2*v + 1/2*v**t = 0.
-1, 0, 1
Let m(i) = 3*i**2 - 6*i. Let s be m(2). Suppose 38 + 2*y**2 - 34 + s*y**2 - 6*y = 0. What is y?
1, 2
Let c be 1 + (0 - -1) - (73 - 79). Suppose -4*q = c*q. Let q + 0*v + 22/13*v**4 - 12/13*v**3 + 2/13*v**2 - 12/13*v**5 = 0. Calculate v.
0, 1/3, 1/2, 1
Let c(k) = 12*k**4 + 8*k**3 - 12*k**2 + 3*k + 11. Let u(t) = t**4 + t**3 - t**2 + 1. Let b(m) = 2*c(m) - 22*u(m). Let b(x) = 0. What is x?
-1, 0, 1, 3
Let f(a) = -9*a**4 + 9*a**3 + 20*a**2 - 408*a + 367. Let j(w) = 4*w**4 - 5*w**3 - 11*w**2 + 204*w - 183. Let b(v) = 3*f(v) + 7*j(v). Factor b(u).
(u - 6)**2*(u - 1)*(u + 5)
Let v(k) = k**3 - 6*k**2 + 6*k + 1. Let x be v(5). Suppose 0*i = -2*i + x. Let 6*f**4 - 12*f**3 + 5*f**4 - 2*f**4 - 6*f**2 - 3*f**i = 0. What is f?
-1/3, 0, 2
Let x be ((-12)/8)/((36/(-40))/3). Determine t so that -7*t**2 - x*t**3 + 0 + 65*t - 35 - 18*t**2 = 0.
-7, 1
Let j be -5 - (85/90 - 6). Let r(p) be the third derivative of 0*p - 2*p**2 - 1/90*p**5 + 1/315*p**7 + 1/90*p**6 + 0 + 0*p**3 - j*p**4. Factor r(x).
2*x*(x - 1)*(x + 1)*(x + 2)/3
Suppose -3*v - 3 = -12. Suppose -v*m + 8 = m. What is l in l**4 + l**5 - 2*l**3 - 5*l**2 + 3*l + 3*l**m + 1 + 0*l**5 - 2*l = 0?
-1, 1
Suppose -80 = -u - 19*u. Factor 0*y + 6/11*y**3 + 0 + 2/11*y**2 + 2/11*y**5 + 6/11*y**u.
2*y**2*(y + 1)**3/11
Let c = 1 + 3. Suppose c*x - 4*x - 6*x = 0. Factor -6/5*q**3 + x*q - 2/5*q**2 - 2/5*q**5 + 0 - 6/5*q**4.
-2*q**2*(q + 1)**3/5
Let b(j) be the third derivative of j**7/1155 + j**6/33 + 10*j**5/33 - 69*j**2 - 1. Find c, given that b(c) = 0.
-10, 0
Let d(u) be the first derivative of 4*u**5/75 - u**4/30 - 2*u**3/5 + 4*u**2/15 + 8*u/15 - 511. Find i such that d(i) = 0.
-2, -1/2, 1, 2
Let u(o) be the third derivative of -o**5/135 + 5*o**4/18 - 28*o**3/27 - 150*o**2. Factor u(w).
-4*(w - 14)*(w - 1)/9
Let 12*c**4 + 81/2*c + 135*c**3 - 48*c**5 + 0 - 567/4*c**2 = 0. Calculate c.
-2, 0, 3/4
Let c(m) be the third derivative of m**5/20 - m**4/3 - m**3/3 + 9*m**2. Let z be c(-3). Factor -3*d**2 + z + 3*d**3 - 49.
3*d**2*(d - 1)
What is b in 4225/2 + 1/8*b**2 + 65/2*b = 0?
-130
Let w be 3 + 4 + -10 - (-26)/6. Suppose -4/3*x**4 - w + 8/3*x**5 - 16/3*x**3 + 8/3*x + 8/3*x**2 = 0. What is x?
-1, 1/2, 1
Let n(g) be the first derivative of 2*g**3/15 + 64*g**2/5 + 2048*g/5 - 221. Let n(d) = 0. Calculate d.
-32
Let w(t) be the second derivative of 4/35*t**5 + 3*t + 4/21*t**3 + 5/21*t**4 + 2/105*t**6 + 0 + 0*t**2. Let w(k) = 0. Calculate k.
-2, -1, 0
Let y(h) be the second derivative of 0*h**4 + 2/5*h**6 + 0*h**2 + 0 - 6*h + 2/21*h**7 + 0*h**3 + 2/5*h**5. Factor y(f).
4*f**3*(f + 1)*(f + 2)
Let q = 29 - 30. Let r be 24/9*q/(-1 + -5). Determine a, given that 0 - r*a**2 + 0*a**3 + 2/9*a**5 + 4/9*a**4 - 2/9*a = 0.
-1, 0, 1
Suppose -4/3*i**3 - 16*i**2 + 36*i - 56/3 = 0. Calculate i.
-14, 1
Factor 1/8*b + 1/8*b**3 - 1/2*b**2 + 3/4.
(b - 3)*(b - 2)*(b + 1)/8
Let r(t) = t**2 + 11*t - 3. Let w(g) = -g**2 - g - 1. Let l(i) = r(i) + 2*w(i). Let x be l(8). Factor -3*j + 23 + 27 + x*j**2 - 50.
3*j*(j - 1)
Let y = -24 - -20. Let v be (-39 - y)*(-2 + 108/55). Solve 4/11*b + 0 + v*b**4 + 2*b**2 + 32/11*b**3 = 0.
-1, -2/7, 0
Let p(t) be the first derivative of -t**6/60 - t**5/10 + 5*t**4/24 - 4*t - 24. Let i(l) be the first derivative of p(l). Find n such that i(n) = 0.
-5, 0, 1
Let b(k) be the third derivative of -k**5/270 + k**4/9 + 13*k**3/27 - 346*k**2. Factor b(j).
-2*(j - 13)*(j + 1)/9
Factor -10*o + 4*o + 23*o + 24 + o + 3*o**2.
3*(o + 2)*(o + 4)
Let c = -4 + -23. Let j = 55/2 + c. Find a such that 0*a + 1/4*a**4 - j*a**2 + 0*a**3 + 1/4 = 0.
-1, 1
Let o(a) = -8*a**2 + 11*a - 12. Let w(q) = -58*q**2 + 76*q - 84. Let v(s) = 44*o(s) - 6*w(s). Factor v(b).
-4*(b - 6)*(b - 1)
Let n(f) be the first derivative of -f**7/1260 - f**6/540 - 2*f**3 + 13. Let y(l) be the third derivative of n(l). What is t in y(t) = 0?
-1, 0
Let y(r) be the third derivative of r**8/84 - 151*r**7/70 - 343*r**6/120 + 19*r**5/10 + 896*r**2 + 2*r. Let y(t) = 0. What is t?
-1, 0, 1/4, 114
Let n(t) = 65*t**2 - 155*t - 615. Let r(w) be the third derivative of -w**5/20 + 7*w**4/24 + 14*w**3/3 - 25*w**2. Let b(i) = -2*n(i) - 45*r(i). Solve b(y) = 0.
-2, 3
Factor -5*z + 8*z**2 + z - 6*z**4 - 4 - 4*z**5 + 2*z**4 + 8*z**3.
-4*(z - 1)**2*(z + 1)**3
Let k(s) be the second derivative of s**4/12 - 7*s**3/3 - 15*s**2/2 - 8*s + 12. Let k(w) = 0. What is w?
-1, 15
Let v = 37 - 34. Let 3*g**5 + 4*g**2 - 6*g**4 + 536*g - g**5 - 542*g + 4*g**v + 2 = 0. What is g?
-1, 1
Let w be (-6)/(-14)*(-25 + 4)/(-3). Let