ne p so that v(p) = 0.
-1/3, 0, 6
Suppose 0 = -4*c + 5*v - 4, 0 = c + 4*v - 21 + 1. Suppose -c*i + 26 = -22. Factor 24*t + 3*t - 8 + i*t**2 - 7*t.
4*(t + 2)*(3*t - 1)
Let u = -32 - -35. Find t such that -48*t**2 - u*t**3 - t + 3*t**4 + 45*t**2 - 4*t**4 = 0.
-1, 0
Let z(m) be the second derivative of m**8/2800 - m**7/1400 - 3*m**3 - 35*m. Let j(i) be the second derivative of z(i). Solve j(y) = 0 for y.
0, 1
Factor -6/5*p + 2/5*p**2 - 36/5.
2*(p - 6)*(p + 3)/5
Let k(h) be the second derivative of h**4 + 0 - 3/2*h**3 + 2*h - 3/20*h**5 + 0*h**2. Suppose k(u) = 0. Calculate u.
0, 1, 3
Let h(i) be the third derivative of -i**8/420 + 2*i**7/105 - 2*i**6/45 - 4*i**3 - 12*i**2. Let f(m) be the first derivative of h(m). Factor f(d).
-4*d**2*(d - 2)**2
Let m be (-10)/(-48)*742/265. Let w(s) be the first derivative of -6 - 1/4*s**2 + m*s**3 + 1/4*s**5 + 0*s - 1/24*s**6 - 9/16*s**4. Factor w(g).
-g*(g - 2)*(g - 1)**3/4
Suppose -146 - 178 = -54*t. Let y(h) be the third derivative of 0 + 1/24*h**4 - 1/210*h**7 - 4*h**2 + 1/60*h**5 - 1/120*h**t + 0*h**3 + 0*h. Factor y(s).
-s*(s - 1)*(s + 1)**2
Let u be 4 - 23/6 - 5/40. Let b(v) be the second derivative of 0 + 0*v**2 + 1/120*v**6 + 2*v + u*v**3 - 1/48*v**4 - 1/80*v**5. Factor b(n).
n*(n - 1)**2*(n + 1)/4
Let m(p) = p**2 + 22*p + 2. Suppose -3*s + 4*g - 62 = 0, 5*g = 3*s + 4*g + 65. Let z be m(s). Suppose -2/3 - 1/3*t**3 + t + 0*t**z = 0. Calculate t.
-2, 1
Let a = 15582/5 - 3114. What is t in -a + 3*t - 3/5*t**2 = 0?
1, 4
Let w be ((-60)/(-84) - 1)*(-70)/120. Let -32/3 - w*k**2 - 8/3*k = 0. What is k?
-8
Let k(h) be the third derivative of h**7/42 - 13*h**6/24 + 5*h**5/2 - h**2 - 4*h. Factor k(a).
5*a**2*(a - 10)*(a - 3)
Let v = 22 - 23. Let d be v/(-3) + 40/24. What is c in -8 - 11*c - 3*c + 44*c**d - 17*c - 5*c = 0?
-2/11, 1
What is x in 15*x**3 + 10/3*x + 5/3*x**5 + 25/3*x**4 + 35/3*x**2 + 0 = 0?
-2, -1, 0
Let q(h) = -h**2 - h + 1. Suppose -4*r - 1 = 3. Let o(w) = -7*w**2 + 61*w - 253. Let b(z) = r*o(z) + 3*q(z). Suppose b(p) = 0. Calculate p.
8
Let m(h) = -2*h + 2*h + h + 0*h + 1. Let x be m(2). Factor -3/8*z**2 + 1/8 - 1/4*z**x + 0*z.
-(z + 1)**2*(2*z - 1)/8
Let o = 562/203 + -72/29. Let p(i) be the first derivative of -3 + 0*i**2 - 1/14*i**4 + o*i**3 + 0*i. Factor p(y).
-2*y**2*(y - 3)/7
Let q(y) = -3*y**2 + 16*y - 21. Let x(s) = -s**2 - 1. Let m(f) = 5*q(f) - 20*x(f). Factor m(h).
5*(h - 1)*(h + 17)
Let q(f) be the first derivative of 5/6*f**2 + 2*f**4 + 0*f + 5 + 7/3*f**3 + 4/15*f**5. Factor q(t).
t*(t + 5)*(2*t + 1)**2/3
Let b be (357/(-85))/(-3) + -1. Factor -56/5*t**3 + b*t**4 - 1944/5*t + 108*t**2 + 1458/5.
2*(t - 9)**3*(t - 1)/5
Suppose 0 = 5*s + 5*a - 150, 0*a = -s + 2*a + 36. Let c be (s/(-12) + 4)/6. Find r, given that c + 0*r - 2/9*r**2 = 0.
-1, 1
Determine w, given that 1/6*w**3 + 0 + 1/2*w**2 + 1/3*w = 0.
-2, -1, 0
Factor 412/3*t - 21218/3 - 2/3*t**2.
-2*(t - 103)**2/3
Let p(t) = -t**4 - 31*t**3 - 79*t**2 + 7*t + 21. Let r(z) = 10*z**3 + 26*z**2 - 2*z - 6. Let m(n) = 4*p(n) + 14*r(n). Suppose m(v) = 0. What is v?
-2, 0, 6
Suppose 0 = 18*v + 1513 + 1277. Let g be v/(-30) - 6 - (-3 + 2). Let 0*p - 1/6*p**2 + g*p**4 + 0 + 0*p**3 = 0. What is p?
-1, 0, 1
Let a(z) = z**2 - 2*z - 3. Let l be a(4). Determine k, given that 8*k - 9*k**2 + 7*k - l - k**2 = 0.
1/2, 1
Let v(u) be the third derivative of 5*u**8/672 - 37*u**7/420 + 23*u**6/80 - 47*u**5/120 + 5*u**4/24 + 44*u**2. Suppose v(f) = 0. What is f?
0, 2/5, 1, 5
Let q(i) be the first derivative of -2*i**5/45 - 49*i**4/9 - 386*i**3/27 - 32*i**2/3 - 792. Factor q(m).
-2*m*(m + 1)**2*(m + 96)/9
Let z be 0*(14/(-4))/(-7). Let m = 4 - z. What is d in -d + 7*d - 3 - 4*d**m + 3*d**4 - 6*d**3 + 4*d**4 = 0?
-1, 1
Suppose -3 - 3 = -l. Let k(r) = 13*r**2 + 2*r - 11. Let c(n) = 7*n**2 + n - 6. Let a(z) = l*k(z) - 11*c(z). Factor a(t).
t*(t + 1)
Let b = -20254/7 - -2894. Determine z, given that -9/7*z**2 + b*z + 0 - 1/7*z**4 + 6/7*z**3 = 0.
0, 1, 4
Let j(b) be the second derivative of b**6/720 - b**5/30 + b**4/3 + 41*b**3/6 - 35*b. Let x(q) be the second derivative of j(q). Factor x(a).
(a - 4)**2/2
Suppose -10/9*o**2 - 4 + 26/9*o**3 - 38/3*o + 2/3*o**4 = 0. Calculate o.
-3, -1/3, 2
Let u(o) be the second derivative of o**7/1050 - o**6/300 + 11*o**2/2 - 26*o. Let h(j) be the first derivative of u(j). Solve h(n) = 0.
0, 2
Determine h so that -3/4*h**2 + 3/2 - 3/4*h = 0.
-2, 1
Let y be 58 + -1 + -4 + (-32)/(-4). Let y*i - 12*i**3 + 2*i**4 + 4*i**4 - 45*i - 2*i**4 = 0. Calculate i.
-1, 0, 2
Let i(k) be the second derivative of -1/70*k**5 - 16/7*k**2 + 0 - 4*k - 8/7*k**3 - 3/14*k**4. What is j in i(j) = 0?
-4, -1
Let h(b) be the second derivative of b**5/40 + 361*b**4/24 + 32399*b**3/12 - 32761*b**2/4 - 395*b - 1. Find l such that h(l) = 0.
-181, 1
Let a(h) be the first derivative of -h**3/9 + h**2 - 8*h/3 - 53. Factor a(z).
-(z - 4)*(z - 2)/3
Let q(t) be the second derivative of 0 + 0*t**2 + 1/15*t**5 - 38*t + 1/6*t**4 + 1/9*t**3. Find n such that q(n) = 0.
-1, -1/2, 0
Determine n, given that -73/2*n**4 - 16*n**2 - 10*n**5 - 2*n - 81/2*n**3 + 0 = 0.
-2, -1, -2/5, -1/4, 0
Let w(y) be the second derivative of -y**2 + 0*y**3 + 1/6*y**4 - 9*y + 0. Factor w(i).
2*(i - 1)*(i + 1)
Let j(n) be the third derivative of -2*n**2 + 0 + 0*n + 25/12*n**3 + 1/120*n**5 + 5/24*n**4. Determine s, given that j(s) = 0.
-5
Let w(j) = -2*j**2 + 44 - 8 + 4*j - 28*j + 6*j**2. Let u(l) = 4*l**2 - 24*l + 36. Let d(n) = 6*u(n) - 7*w(n). Factor d(y).
-4*(y - 3)**2
Let z(x) be the second derivative of 5/108*x**4 + 7*x + 1/9*x**2 + 0 - 7/54*x**3. Factor z(k).
(k - 1)*(5*k - 2)/9
Let o = 2 + -4. Let t be 6 - 5 - 26/o. Factor 18*n**3 + 2*n**5 + 4*n + 0*n - n**4 - 9*n**4 - t*n**2.
2*n*(n - 2)*(n - 1)**3
Suppose 29*z - 33*z = -i - 35, 0 = -2*z - 5*i + 23. Factor 27 + z*a + 3/4*a**2.
3*(a + 6)**2/4
Let j be ((-12)/(-21))/((-20)/(-70)). Let z(i) be the second derivative of 1/12*i**3 + 0 + 6*i - 1/24*i**4 + 1/2*i**j. Factor z(v).
-(v - 2)*(v + 1)/2
Let n(u) = -100*u**2 - 340*u + 485. Let v(m) = 9*m**2 + 31*m - 44. Let x(a) = 4*n(a) + 45*v(a). What is l in x(l) = 0?
-8, 1
Let j be (-24)/120 + (-2)/((-10)/11). Solve -v**3 - v**2 + 2*v**j + 15 + v - 16 = 0.
-1, 1
Suppose -2878*i + 2880*i = 0. Let d(o) be the second derivative of -2/3*o**4 - 1/15*o**6 + 2/5*o**5 + i*o**2 + 0 + 0*o**3 - o. Let d(q) = 0. Calculate q.
0, 2
Let a be -96 - -81 - 167/(-11). Factor -2/11*i**4 + 2/11*i**5 + 4/11*i**2 - 4/11*i**3 - a + 2/11*i.
2*(i - 1)**3*(i + 1)**2/11
Solve -928*x**3 - 3*x**5 - 832*x - 277*x**4 + 192 + 577*x**4 + 1312*x**2 - 33*x**5 = 0.
2/3, 2, 3
Let o be (4/14)/((-2616)/(-3052)). Let p = -3 + 5. Factor -b**p + 1/3*b**3 - o*b + 1.
(b - 3)*(b - 1)*(b + 1)/3
Let k(i) = 69*i - 67. Let x be k(1). Find w such that 1/3*w**4 + 0*w**3 + 0 - 1/3*w**x + 0*w = 0.
-1, 0, 1
Let y(f) be the second derivative of -3*f**5/20 - 4*f**4 + 38*f**3 - 120*f**2 - 8*f + 7. Factor y(b).
-3*(b - 2)**2*(b + 20)
Find x such that -323/4*x + 361/4 - 37/4*x**2 - 1/4*x**3 = 0.
-19, 1
Let h(s) = 11*s**5 + 17*s**4 - 11*s**3 - s**2 + 8*s + 8. Let d(q) = 4*q**5 + 6*q**4 - 4*q**3 + 3*q + 3. Let l(v) = 8*d(v) - 3*h(v). Factor l(m).
-m**2*(m - 1)*(m + 1)*(m + 3)
Let y(m) be the second derivative of -5*m**7/42 + 5*m**6/6 + 13*m**5/4 + 35*m**4/12 - 87*m - 1. Factor y(r).
-5*r**2*(r - 7)*(r + 1)**2
Let n = 32 + -25. Let y(w) be the second derivative of 1/6*w**4 - 1/10*w**5 + 1/42*w**n + 1/6*w**3 + 0 - 1/2*w**2 - 1/30*w**6 + 4*w. Find o such that y(o) = 0.
-1, 1
Let i be ((-80)/(-14) + -6)/(2/(-14)). Let u(d) be the first derivative of 1 + 2*d**i - 2/9*d**3 - 6*d. Factor u(y).
-2*(y - 3)**2/3
Let k(n) be the first derivative of -n**7/630 - n**6/54 - 4*n**5/45 - 2*n**4/9 + 8*n**3/3 + 8. Let i(q) be the third derivative of k(q). Factor i(x).
-4*(x + 1)*(x + 2)**2/3
Let p(y) be the first derivative of -y**3 - 9/2*y**2 - 18 + 12*y. Factor p(c).
-3*(c - 1)*(c + 4)
Let r(n) = n**5 + n**4 - n**2 - n. Let z(x) = -4*x**5 - 4*x**4 + 8*x**2 + 8*x. Let j(b) = -8*r(b) - z(b). Suppose j(c) = 0. What is c?
-1, 0
Let n(p) = p**4 + 5*p**3 - p**2 + p + 1. Let i(q) = 8*q**4 + 64*q**3 + 8*q**2 - 4*q - 6. Let b(j) = -i(j) + 10*n(j). Determine z so that b(z) = 0.
-1, 1, 8
Suppose 24*m + 33 = 63 + 66. Factor m*o**2 - 24/5*o**3 - 1/5*o**5 + 0 + 0*o + 9/5*o**4.
-o**2*(o -