2/5*d**2 = 0.
110
Let v = 14 - 11. Factor -l**3 + 2*l**3 - 24*l + 5*l**3 - 12*l**2 + v*l**4.
3*l*(l - 2)*(l + 2)**2
Let z(n) = -n**2 - 5*n + 3. Let l be z(-5). Suppose -102*g = -97*g - 20. Factor 7*h**2 - 2*h**2 - h**3 + 3*h**3 - h**g + l*h - h**3.
-h*(h - 3)*(h + 1)**2
Suppose -2/5*s**2 + 38/5*s - 36/5 = 0. What is s?
1, 18
Let f(u) be the second derivative of -u**4/22 - 9*u**3/11 - 54*u**2/11 - 49*u + 2. Suppose f(v) = 0. What is v?
-6, -3
Let l be (((0 - 2) + 2)/(-1))/(-1). Let -1718*o - 5*o**3 + l + 0 - 30*o**2 + 1673*o = 0. Calculate o.
-3, 0
Let n(f) be the third derivative of -f**6/24 - 79*f**5/12 - 2665*f**4/8 - 2535*f**3/2 - 4*f**2 + 40*f. Suppose n(o) = 0. Calculate o.
-39, -1
Find t such that 1350/13 - 54/13*t**2 + 2/13*t**3 + 270/13*t = 0.
-3, 15
Factor 20/3 - 8/3*d**2 - 1/3*d**3 - 11/3*d.
-(d - 1)*(d + 4)*(d + 5)/3
Let n(j) be the first derivative of 36*j**5/25 - 42*j**4/5 - 55*j**3/3 - 77*j**2/10 - 6*j/5 + 109. Factor n(x).
(x - 6)*(x + 1)*(6*x + 1)**2/5
Let x(a) be the first derivative of -a**6/3 - 6*a**5/5 - a**4 + 4*a**3/3 + 3*a**2 + 2*a - 227. What is g in x(g) = 0?
-1, 1
Find r such that -380*r - 1 + 1 + 296*r + 88*r**2 - 4*r**3 = 0.
0, 1, 21
Let f(i) be the third derivative of -1/20*i**4 + 1/75*i**5 - 27*i**2 + 0 + 1/15*i**3 + 0*i. Suppose f(d) = 0. Calculate d.
1/2, 1
Factor 259*j + 971 + 4*j**2 - 51*j + 1997 - 264.
4*(j + 26)**2
Factor 408/7*y**2 + 118/7*y + 4/7.
2*(4*y + 1)*(51*y + 2)/7
Let v(f) be the first derivative of f**6/4 + 6*f**5/5 - 3*f**4 - 7*f**3 + 21*f**2/4 + 15*f + 207. Solve v(k) = 0 for k.
-5, -1, 1, 2
Find l, given that 7/4*l**2 + 3/4*l**3 - 15/4*l - 9/2 - 1/4*l**4 = 0.
-2, -1, 3
Let v(k) be the first derivative of -512*k**5/15 - 128*k**4/3 - 64*k**3/3 - 16*k**2/3 - 2*k/3 + 57. Determine a so that v(a) = 0.
-1/4
Let x(i) be the third derivative of -i**7/2940 - i**6/420 + i**4/21 + 11*i**3/3 - 5*i**2. Let l(p) be the first derivative of x(p). Factor l(w).
-2*(w - 1)*(w + 2)**2/7
Suppose 14 - 11*l - 12*l + 24*l + 2*l**2 - l**2 - 10*l = 0. Calculate l.
2, 7
Let j(l) = -2*l**3 + 9*l**2 - 4*l. Let g be j(4). Let o(w) = -w**2 - 2*w + 10. Let x be o(-4). Solve -2/11*c + g - 2/11*c**x = 0 for c.
-1, 0
Suppose 63*d**4 + 119*d**3 - 24 - 396*d + 30*d**4 - 20*d**3 - 366*d**2 = 0. Calculate d.
-2, -1, -2/31, 2
Suppose 4*b = 5*f - 27, -2 = f + 5*b + 10. Factor 2*u**4 - 239 + 239 - 5*u**3 + u**f.
2*u**3*(u - 2)
Let n be 7 + (-4 - (-3 - -2)). Factor 3*j**3 - 3*j**n - 5*j**3 + 0*j**4 + 0*j**3 - j**5.
-j**3*(j + 1)*(j + 2)
Let d(t) be the third derivative of 5*t**8/784 + 11*t**7/245 + 33*t**6/280 + t**5/7 + t**4/14 + 63*t**2. What is w in d(w) = 0?
-2, -1, -2/5, 0
Let l(p) be the first derivative of 8*p**5/15 + 5*p**4/3 + 16*p**3/9 + 2*p**2/3 - 434. Suppose l(c) = 0. What is c?
-1, -1/2, 0
Let m = -889 + 892. Determine k, given that 0*k - 2/3*k**m + 0 + 0*k**2 = 0.
0
Let l(m) = -13*m**4 + 56*m**3 + 4*m**2 + 4. Let r(q) = 28*q**4 - 111*q**3 - 9*q**2 - 9. Let i(y) = 9*l(y) + 4*r(y). Suppose i(w) = 0. Calculate w.
0, 12
Let u = -6 + 7. Find d such that -u + 10 - 12*d + 3*d**2 + 0 = 0.
1, 3
Let i(k) = -k**3 + 2*k**2 + 2*k + 5. Let z be i(3). Let c be (1 - z)*(0 + -5). Factor 4*r**5 - r**2 + 5*r**2 - 2*r**2 - 5*r**c + r - 2*r**4.
-r*(r - 1)*(r + 1)**3
Let y(k) be the first derivative of -k**8/5040 + k**6/540 - k**4/72 - 7*k**3/3 + 4. Let a(g) be the third derivative of y(g). Factor a(z).
-(z - 1)**2*(z + 1)**2/3
Let s(p) be the second derivative of 13*p**4/24 + 11*p**3/12 - p**2/2 - 59*p + 1. Suppose s(c) = 0. What is c?
-1, 2/13
Let x(u) be the second derivative of 2/7*u**2 + 0 + 1/7*u**3 - 1/70*u**5 + 29*u + 0*u**4. Let x(h) = 0. What is h?
-1, 2
Let g = 26 - 17. Suppose 0 = 4*m + m. What is z in z**2 + m*z**2 + g - 5 + 4*z + z = 0?
-4, -1
Factor -2/19*x**2 - 28/19 + 18/19*x.
-2*(x - 7)*(x - 2)/19
Factor 149*f**2 + 3452 - 79*f**2 - 72*f**2 + 794*f - 106510 + 114*f.
-2*(f - 227)**2
Let p be (2 + 1)*14/21. Factor 31 - 4*j - 11*j - 4*j**p - 7 - 5*j.
-4*(j - 1)*(j + 6)
Let w = -305/248 - -42/31. Let f(b) be the first derivative of -1 + 0*b + 1/12*b**3 - w*b**2. Factor f(j).
j*(j - 1)/4
Suppose 143 + 49 = -8*d. Let n be (-2)/d + 1/4. Factor n*y**4 + 0*y**3 - 8/3*y - 1 - 2*y**2.
(y - 3)*(y + 1)**3/3
Suppose 3128 = 66*z + 506 - 3054. Let -z*s - 49/2*s**3 + 161*s**2 + 12 = 0. What is s?
2/7, 6
Let i = -168349/10 - -16835. Factor i*r**4 - 7/10*r - 1/2*r**3 + 9/10*r**2 + 1/5.
(r - 2)*(r - 1)**3/10
Let z(x) = -x**4 - x**2 + 1. Suppose 4*w - 3*w = -2. Let i(q) = -2*q**3 + 7*q**2 - 7. Let d(o) = w*i(o) - 14*z(o). Factor d(f).
2*f**3*(7*f + 2)
Let w(i) be the second derivative of i**4/6 + 13*i**3/3 - 14*i**2 + 78*i + 1. Factor w(r).
2*(r - 1)*(r + 14)
Let z be 140/8*57/15. Let h = -66 + z. Factor -9/2 - h*y**2 - 3*y.
-(y + 3)**2/2
Suppose -2*b + 12 = -5*b, 0 = -2*a - 2*b + 8. Let 68*r**2 + 2 - 324*r**4 + a - 4*r - 252*r**3 - 10 = 0. Calculate r.
-1, 0, 1/9
Suppose 2/5*q**4 - 14/5*q**3 + 0 + 22/5*q**2 - 2*q = 0. What is q?
0, 1, 5
Suppose 0 = 10*z - 71 + 21. Let g(d) be the third derivative of 1/40*d**6 - 7*d**2 + 0*d**3 + 3/20*d**z + 0 + 0*d + 1/4*d**4. Factor g(l).
3*l*(l + 1)*(l + 2)
Let c(k) be the second derivative of 1/6*k**3 - 1/40*k**5 + 1/120*k**6 + 1/2*k**2 - 1/16*k**4 + 2*k + 0. Suppose c(u) = 0. Calculate u.
-1, 2
Suppose 5*s + 2 - 17 = 0. Factor -64*c**3 + 6*c**2 + 60*c**s - 2*c**2 + 4*c**5 - 4*c**4.
4*c**2*(c - 1)**2*(c + 1)
Let 5*x**2 + 0 - 5/4*x**4 - 15/4*x**3 + 15*x = 0. Calculate x.
-3, -2, 0, 2
Let i(u) be the third derivative of -1/84*u**7 + 0*u + 0*u**3 + 0 + 0*u**4 - 1/24*u**6 + 5*u**2 + 1/8*u**5. Solve i(s) = 0.
-3, 0, 1
Let -4*l**2 + 26/3*l - 2/3*l**3 + 28 = 0. Calculate l.
-7, -2, 3
Let l(q) = -1929*q**3 - 820*q**2 - 97*q - 6. Let d(a) = -5789*a**3 - 2460*a**2 - 291*a - 20. Let z(i) = 2*d(i) - 7*l(i). Factor z(c).
(5*c + 1)**2*(77*c + 2)
Suppose -20 + 128 = 27*l. Let 1/2*g**2 - 4/3*g + 1/3*g**3 + 2/3 - 1/6*g**l = 0. Calculate g.
-2, 1, 2
Let r(k) be the first derivative of -3/5*k**5 - 20 + k**4 + 2/3*k**3 + k - 2*k**2. Factor r(w).
-(w - 1)**2*(w + 1)*(3*w - 1)
Let f(b) be the third derivative of -b**7/1680 - b**6/64 - 19*b**5/240 - b**4/8 - 99*b**2. Factor f(z).
-z*(z + 1)*(z + 2)*(z + 12)/8
Let j = 263/5720 - 3/143. Let p(c) be the second derivative of 1/6*c**4 - 5/12*c**3 + 1/2*c**2 + 0 - j*c**5 + 2*c. Factor p(s).
-(s - 2)*(s - 1)**2/2
Let p(q) = 5*q**3 - 5*q**2 - 36*q + 6. Let g(a) = a - 1. Let n(h) = 6*g(h) + p(h). Factor n(m).
5*m*(m - 3)*(m + 2)
Let a**2 - 138 + 56 + 74*a - 5*a**2 + 25 + 21 = 0. What is a?
1/2, 18
Let t(x) be the third derivative of -x**8/336 - x**7/30 - 11*x**6/120 - x**5/12 - 305*x**2. Factor t(b).
-b**2*(b + 1)**2*(b + 5)
Let i(m) be the third derivative of 0*m**4 + 0*m**3 - 1/120*m**5 + 0*m**6 - 14*m**2 + 1/420*m**7 + 0 + 0*m. Let i(l) = 0. What is l?
-1, 0, 1
Let s(r) be the second derivative of r**5/10 + 11*r**4/2 + 121*r**3 + 1331*r**2 + 19*r. Determine w, given that s(w) = 0.
-11
Let l(c) be the first derivative of c**6/1020 + c**5/255 + 5*c**2/2 - 1. Let x(m) be the second derivative of l(m). Factor x(j).
2*j**2*(j + 2)/17
Solve 0*z - 8/9*z**3 - 4/9*z**4 + 0*z**2 + 0 = 0.
-2, 0
Let f = 4081 + -4079. Factor -12/7*k + 10/7 + 2/7*k**f.
2*(k - 5)*(k - 1)/7
Let d(o) be the second derivative of 40*o + 3/11*o**4 + 0 + 0*o**3 + 1/165*o**6 - 27/11*o**2 - 4/55*o**5. Solve d(a) = 0.
-1, 3
Suppose -4*i = -8*i. Suppose i = f - 0*f - 6. Factor -f*w**2 + 0*w + 4 + 4*w**2 + 2*w.
-2*(w - 2)*(w + 1)
Factor -4 + 81841*h**4 - 34*h**3 - 81839*h**4 - 86*h + 90*h**2 + 32.
2*(h - 14)*(h - 1)**3
Factor 56/3*y**2 + 98/3*y + 0 + 8/3*y**3.
2*y*(2*y + 7)**2/3
Let y(s) = -12*s - 69. Let x be y(-7). Let z be x/13*4 + -4. Find q such that z*q + 90/13*q**3 - 162/13*q**4 + 0 + 64/13*q**2 = 0.
-2/9, 0, 1
Let r(v) = 58*v**3 + 186*v**2 + 116*v + 8. Let q(t) = 20*t**3 + 63*t**2 + 39*t + 3. Let k(d) = -8*q(d) + 3*r(d). Let k(i) = 0. Calculate i.
-3, -6/7, 0
Let l be ((-49)/2)/7*(-12)/21. Let v(i) be the second derivative of 0*i**l - 1/15*i**4 + 0*i**3 + 2*i + 0 + 1/50*i**5. Determine p, given that v(p) = 0.
0, 2
Let d(c) = -4*c**2 + 17*c + 21. Let q(b) = 2*b**2 + b - 1. Let f(m) = -d(m) - 3*q(m). Factor f(o).
-2*(o + 1)*(o + 9)
Let x(k) be the third derivative of -k**9/20160 - k**8/560 - k**7/35 - 4*k**6/15 + 7*k**5