t) be the second derivative of p(t). Factor y(s).
-(s + 1)**2/2
Let u be 2/(-1) + (-6)/(-2). Factor 7*c**2 - 5*c**2 - u - 4*c**2 - 2*c + 5.
-2*(c - 1)*(c + 2)
Let b = 1935 - 5803/3. Find a, given that -2/3*a**2 + 0 - b*a = 0.
-1, 0
Let p = -158 + 161. Let b(v) be the third derivative of 1/660*v**6 - 3*v**2 + 0*v + 0*v**p + 0*v**4 + 0 - 1/330*v**5. Factor b(l).
2*l**2*(l - 1)/11
Suppose -85 + 1 = -2*h. Let i = -40 + h. Let 1/2 + 1/2*b**i - b = 0. What is b?
1
Let a = 3 + -2. Let x be (1/(1/(-1)))/a. Let f(c) = -2*c**3 + 2*c**2 + 4*c - 4. Let d(j) = j**3 - j**2 - j + 1. Let u(t) = x*f(t) - 4*d(t). Factor u(k).
-2*k**2*(k - 1)
Let a(k) be the second derivative of -k**4/102 + 2*k**3/51 - k**2/17 + 200*k. Let a(g) = 0. What is g?
1
Let a(u) = u**3 - 8*u**2 + 3. Let c be a(8). Find p such that 1/5*p - 24/5*p**4 - 19/10*p**c + 3/10*p**2 + 0 - 14/5*p**5 = 0.
-1, -1/2, 0, 2/7
Let p(m) be the first derivative of -m**5/180 - 5*m**4/36 - 25*m**3/18 - 15*m**2/2 + 52. Let x(g) be the second derivative of p(g). Factor x(j).
-(j + 5)**2/3
Let o(m) = 5*m**3 - m**2 + 4*m - 3. Let a be o(1). Let b be (-368)/96 + (a - 1). Let -1/6*f + 0 - b*f**2 = 0. Calculate f.
-1, 0
Let s(g) = -g**4 + g**3 - g + 1. Let c(r) = -3*r**4 + 4*r**2 - 1. Let l(z) = 3*c(z) - 6*s(z). Let l(q) = 0. Calculate q.
-3, -1, 1
Let q(i) be the second derivative of i**5/70 - 11*i**4/42 + 34*i**3/21 - 24*i**2/7 + 6*i - 3. What is l in q(l) = 0?
1, 4, 6
Let h(o) be the first derivative of o**5/150 - o**4/30 + o**3/15 - o**2/15 - 13*o - 6. Let t(a) be the first derivative of h(a). Factor t(m).
2*(m - 1)**3/15
Let c = 1553 + -1553. Let -2/7*f**5 + 0 + 4/7*f**2 + c*f + 8/7*f**4 - 10/7*f**3 = 0. What is f?
0, 1, 2
Let j = 115 + -113. Let v(t) be the first derivative of -2/3*t**3 + 0*t + t**j - 1. Factor v(z).
-2*z*(z - 1)
Suppose 3*s = 4*h + 87, 2*h = -10*s + 7*s + 105. Factor -20 - 32*t + 20*t**3 + 65*t**2 + 0*t - s*t.
5*(t - 1)*(t + 4)*(4*t + 1)
Let g be 8/(-3) - 7/21. Let a be (0 - 1)*(g - -2). Find f, given that 4*f**2 - 3 + 4*f**2 + a + 4 + 10*f = 0.
-1, -1/4
Factor -133 + 584*p - p**2 - 194*p - 2*p**2 - 254.
-3*(p - 129)*(p - 1)
Let s(f) be the first derivative of 8*f**3/3 - 14*f**2 + 4*f + 9. Let z(w) = -w**2 + w - 1. Let i(l) = -s(l) - 4*z(l). Determine b, given that i(b) = 0.
0, 6
Suppose 5*u + 4*j - 40 = -j, -3*j = 4*u - 27. Factor 21/5*d**2 + 3/5 + 3*d + 9/5*d**u.
3*(d + 1)**2*(3*d + 1)/5
Suppose 0 = -5*u + 7*p - 2*p + 50, 2*u - 3*p = 15. Suppose 89*d**4 - 49*d**4 - 10*d**2 + 18*d**5 - 3*d**5 + u*d**3 = 0. Calculate d.
-2, -1, 0, 1/3
Suppose -3*z = 3*w + z + 11, 5*z = -25. Suppose 0 = -w*i + 124 - 118. Suppose -2*t - 4/5*t**4 - i*t**5 + 4*t**3 + 8/5*t**2 - 4/5 = 0. Calculate t.
-1, -2/5, 1
Let y(j) = -20*j**4 - 452*j**3 - 1340*j**2 - 1308*j - 432. Let b(x) = -7*x**4 - 150*x**3 - 447*x**2 - 436*x - 144. Let f(o) = 8*b(o) - 3*y(o). Factor f(z).
4*(z + 1)**3*(z + 36)
Let f(d) be the third derivative of -d**6/270 - d**5/54 - d**4/27 - 13*d**3/6 + 56*d**2. Let v(n) be the first derivative of f(n). Let v(o) = 0. Calculate o.
-1, -2/3
Let t(h) be the second derivative of 0*h**2 - 1/108*h**4 - 2*h - 1/1620*h**6 - 1/270*h**5 + 0 - h**3. Let x(w) be the second derivative of t(w). Factor x(j).
-2*(j + 1)**2/9
Let s be (2 + 0)/((-24)/(-36)). Let b be s + 0 - (2 - -1). Find i, given that 0*i + 0 + b*i**3 + 2/5*i**4 - 2/5*i**2 = 0.
-1, 0, 1
Let j be -2 + 0 - (-98)/(-11 - -4). Let z be j/(-24) - (76/(-48) - -2). Factor -5/4*a + 1/4*a**3 + 3/4*a**2 + 1/2 - z*a**4.
-(a - 1)**3*(a + 2)/4
Let y(c) be the first derivative of c**6/3 - 32*c**5/5 + 27*c**4 - 152*c**3/3 + 49*c**2 - 24*c - 137. Determine v so that y(v) = 0.
1, 12
Suppose -2*i + a + a = 4, 4*a = 5*i + 6. Factor -1/3*x**i - 2/3 - x.
-(x + 1)*(x + 2)/3
Find w such that -7 + 17*w**3 - 41*w - 57*w**2 - 14*w**3 + 4*w**4 - 7*w**3 - 15*w**3 = 0.
-1, -1/4, 7
Suppose 16*l - 2839 = -l. Let c be 1*(166 - (-1 - 0)). Factor -l - 3*f**3 + c.
-3*f**3
Let g(z) be the second derivative of 1/6*z**4 - 2/15*z**6 + 1/42*z**7 + z**2 + 0 - z + 1/5*z**5 - 5/6*z**3. Determine l so that g(l) = 0.
-1, 1, 2
Determine g, given that 417/4*g - 3/4*g**3 + 51*g**2 + 105/2 = 0.
-1, 70
Let m(k) be the third derivative of -k**8/672 + k**7/140 - k**6/80 + k**5/120 - 63*k**2 - 3. What is q in m(q) = 0?
0, 1
Let l(n) = 13*n**2 - 13*n - 16. Let h(o) = -12*o**2 + 14*o + 16. Let w(j) = j**2 + 5*j - 2. Let i be w(-4). Let y(d) = i*l(d) - 7*h(d). Solve y(f) = 0 for f.
-2/3, 4
Factor -75*t**2 - 6 - 15 + 10 + 2 - 84*t.
-3*(t + 1)*(25*t + 3)
Let n(s) be the second derivative of s**8/3136 - s**7/490 + s**6/420 + 2*s**4/3 - 8*s. Let r(o) be the third derivative of n(o). Solve r(b) = 0.
0, 2/5, 2
Let x(y) be the third derivative of -1/360*y**6 + 1/630*y**7 + 0*y**4 + 0*y**3 + 0*y - 9*y**2 - 1/3024*y**8 + 1/540*y**5 + 0. Find v such that x(v) = 0.
0, 1
Let v(f) be the second derivative of -10/9*f**3 - 15*f - 4/3*f**2 + 0 - 2/9*f**4. Factor v(k).
-4*(k + 2)*(2*k + 1)/3
Let y be ((-3)/12)/(1/(-8)) - -1. Suppose -5 - 1 = -y*j. Factor -l**j + 4/3 + 0*l - 1/3*l**3.
-(l - 1)*(l + 2)**2/3
Let j(y) = 6*y + 2. Let u be j(1). Factor 17 - 2*p**2 - 2*p**2 - 7 + 2*p**2 - u*p.
-2*(p - 1)*(p + 5)
Factor 50*z**2 + 5 - 45/2*z**3 - 65/2*z.
-5*(z - 1)**2*(9*z - 2)/2
Let g(a) = a**4 + 2*a**2 + a - 1. Let k(s) = 2*s**4 + 16*s**2 + 3*s - 12. Let f(q) = -3*g(q) + k(q). Suppose f(i) = 0. What is i?
-3, -1, 1, 3
Let f(m) be the second derivative of 0 + 8/11*m**2 - 2/11*m**3 - 33*m + 1/66*m**4. Let f(y) = 0. Calculate y.
2, 4
Suppose 12/5*q**3 + 936/5*q - 162/5 + 214/5*q**2 = 0. What is q?
-9, 1/6
Factor 2/17*i**2 + 0 + 162/17*i.
2*i*(i + 81)/17
Let d(u) be the first derivative of u**5/10 + u**4/2 - u**3/6 - u**2 - 129. Factor d(h).
h*(h - 1)*(h + 1)*(h + 4)/2
Let n = 10 - 10. Solve 5*y**2 - y**2 + n*y**3 + 2*y**3 = 0.
-2, 0
Let f(k) be the third derivative of -4*k**6/345 - 508*k**5/345 + 511*k**4/276 - 64*k**3/69 + 405*k**2. Solve f(n) = 0 for n.
-64, 1/4
Suppose 8 = -2*d + 6*d. Let o = 60 + -55. Suppose -r**o + r + 4*r**2 + 0*r**d - 6*r**2 + 2*r**4 = 0. Calculate r.
-1, 0, 1
Factor 1323/2*d**2 + 194481/4 + 21*d**3 + 1/4*d**4 + 9261*d.
(d + 21)**4/4
Suppose 32 - 44*h**3 - 368/3*h - 12*h**4 + 440/3*h**2 = 0. What is h?
-6, 2/3, 1
Let m(y) be the second derivative of 1/120*y**6 + 1/56*y**7 + 3 - 2*y - 9/40*y**5 - 5/8*y**4 - 3/8*y**2 - 17/24*y**3. Factor m(z).
(z - 3)*(z + 1)**3*(3*z + 1)/4
Suppose 0 = -3*z - 3*m - 3, -2*z = -m + 2*m - 1. Suppose 4*c + 4*t = 6*c + 8, 2*t = 2*c + z. Suppose k + c*k - 2 - 2*k**2 + k = 0. Calculate k.
1
Let i(n) be the third derivative of -n**8/40320 + n**7/5040 - n**6/1440 + 7*n**5/30 - 12*n**2. Let f(m) be the third derivative of i(m). Factor f(q).
-(q - 1)**2/2
Let r(z) be the second derivative of z**4/66 + z**3/11 - 10*z**2/11 + 65*z. Factor r(m).
2*(m - 2)*(m + 5)/11
Find z such that -22/13 + 24/13*z - 2/13*z**2 = 0.
1, 11
Let t(r) be the second derivative of -r**6/90 + r**5/20 + 4*r**4/9 + 2*r**3/3 + 137*r + 2. Factor t(l).
-l*(l - 6)*(l + 1)*(l + 2)/3
Let j = 3227 - 29039/9. Factor j*g**2 + 1/9*g**3 + 0 + 1/3*g.
g*(g + 1)*(g + 3)/9
Suppose 2*q + 0 = j + 3, 7 = 4*q - j. Factor -24*u**3 - 2*u + 5*u - 9*u**q + 3*u + 4*u**4 - 13*u**4.
-3*u*(u + 1)*(u + 2)*(3*u - 1)
Let m(r) be the first derivative of -r**6/900 - r**5/75 - r**4/15 - 14*r**3/3 + 6. Let l(c) be the third derivative of m(c). Let l(f) = 0. What is f?
-2
Let b be 2/10 + 252/(-2160). Let y(d) be the first derivative of 2/3*d - b*d**4 - 2/9*d**3 + 2 + 1/6*d**2. Factor y(a).
-(a - 1)*(a + 1)*(a + 2)/3
Let m(a) be the first derivative of -a**5/5 - 71*a**4/12 - 475*a**3/9 - 649*a**2/6 - 242*a/3 + 75. Solve m(l) = 0.
-11, -1, -2/3
Suppose 0 = -3*s - o + 7, -2*s - 14 = -7*s - 4*o. Let 11*g + 10*g + 2*g + 5*g**s + 2*g = 0. Calculate g.
-5, 0
Let p(x) be the third derivative of -x**5/30 - 19*x**4/6 + 1051*x**2. Factor p(i).
-2*i*(i + 38)
Let n(c) be the third derivative of c**6/480 - 9*c**4/32 + 29*c**3/6 + 30*c**2. Let s(v) be the first derivative of n(v). Determine a so that s(a) = 0.
-3, 3
Let y be ((-3)/(-10))/(165/20). Let a(h) be the first derivative of 18/11*h + y*h**5 - 24/11*h**2 - 4/11*h**4 + 4/3*h**3 + 1. Solve a(i) = 0.
1, 3
Let o = 40 + -34. Let i(g) be the first derivative of 2/9*g**3 + 0*g + 1/18*g**6 + 0*g**4 + o - 1/6*