 in s(j) = 0?
14
Let q(l) be the first derivative of 3*l**7/1540 + 7*l**6/1980 - l**5/330 + 32*l**3/3 - 34. Let i(r) be the third derivative of q(r). Factor i(v).
2*v*(v + 1)*(9*v - 2)/11
Suppose 12*h = 3*b + 17*h - 2, 3*b - 6 = -3*h. Let m(f) be the first derivative of 4*f + f**2 - 2*f**3 + 2/5*f**5 - 1 - 1/2*f**b. Factor m(y).
2*(y - 2)*(y - 1)*(y + 1)**2
Let t(x) be the first derivative of x**3/7 + 78*x**2/7 + 2028*x/7 - 446. Let t(g) = 0. What is g?
-26
Let p(o) be the second derivative of -8/15*o**3 + 0 + 0*o**2 + 2/75*o**6 + 2*o + 0*o**4 + 3/25*o**5. Factor p(c).
4*c*(c - 1)*(c + 2)**2/5
Let l(t) = -t**3 + t**2 + 45*t + 2. Let u be l(0). Solve 10/11*n**4 + 0 + 4/11*n - 10/11*n**u - 4/11*n**3 = 0.
-1, 0, 2/5, 1
Let k = -81325/3164 - 5/452. Let b = 1634/63 + k. Find h, given that 14/9*h**4 + 4/3*h**5 + 0*h - 4/9*h**2 - b*h**3 + 0 = 0.
-1, -2/3, 0, 1/2
Let d(u) = 5*u**3 - 2*u**2 + 24*u. Let m(g) = -g**3. Let f(v) = -2*d(v) - 14*m(v). Factor f(t).
4*t*(t - 3)*(t + 4)
Let z = 6 + -1. Let d(x) = 2*x**2 + 3*x - 1. Let t(y) = -y**2 - y + 1. Let q(s) = z*d(s) + 5*t(s). Find j, given that q(j) = 0.
-2, 0
Suppose -3*s + 5*d = s + 17, 3*d = s + 13. Find x, given that -4*x**3 + x + 3*x + 2*x**s + 0*x**3 - 2*x**4 + 0*x**2 = 0.
-2, -1, 0, 1
Let u = 163 + -111. Find m, given that -3*m**3 + 3*m + 59 + u - 111 = 0.
-1, 0, 1
Suppose -2 = -2*r, 0 = 5*n - 5*r + 6*r + 29. Let m be 1470/54 - n/(-27). Find d, given that 12/5*d**2 - 54/5*d**4 - 12/5*d - m*d**5 + 21*d**3 + 0 = 0.
-1, -2/5, 0, 1/3, 2/3
Let d(b) be the third derivative of -7*b**5/20 + b**4/12 + b**3/2 - 43*b**2. Factor d(o).
-(3*o + 1)*(7*o - 3)
Let g(z) = -z**3 - 2*z**2 + 2*z**3 + 7*z**2 - 2 + z**3 + z. Let p = -85 - -91. Let j(d) = 2*d**3 + 4*d**2 - 2. Let f(u) = p*j(u) - 4*g(u). Factor f(m).
4*(m - 1)*(m + 1)**2
Let a be 7/28 - (-11)/4. Suppose -a*l - 5*l + 24 = 0. Determine c so that -21*c**5 - 45*c + 90*c**4 - 13*c**5 + 120*c**2 + 6 + 13*c**5 - 150*c**l = 0.
2/7, 1
Let x = -13061/42 - -311. Let z(a) be the second derivative of 0 + x*a**4 + 8/21*a**3 + 1/35*a**6 + a - 4/7*a**2 - 4/35*a**5. Suppose z(c) = 0. What is c?
-1, 2/3, 1, 2
Let x(b) be the first derivative of -1/6*b**4 - 1/15*b**5 + 1/3*b**3 + 4/3*b**2 + 4/3*b + 4. Factor x(w).
-(w - 2)*(w + 1)**2*(w + 2)/3
Let n be ((-5526)/5)/3 - (-15 + 18). Let b = 375 + n. Factor 27/5 - b*w + 3/5*w**2.
3*(w - 3)**2/5
Let a = 47 + -41. Suppose a*m = m. Factor -2/3*b + m - 2/3*b**3 - 4/3*b**2.
-2*b*(b + 1)**2/3
Let u be 336/(-90)*-5 - 6. Factor 14/3*o**4 + 50/3*o**2 + u*o**3 + 2/3*o**5 + 32/3*o + 8/3.
2*(o + 1)**3*(o + 2)**2/3
Let q(n) = -7*n**2 + 4*n + 7. Let y(p) = -6*p**2 + 3*p + 6. Suppose -35 = 7*s - 7. Let d(w) = s*y(w) + 3*q(w). Factor d(m).
3*(m - 1)*(m + 1)
Let q = -2/69 + -59/345. Let d = q - -13/15. Suppose -2 - 4/3*c + d*c**2 = 0. What is c?
-1, 3
Suppose -3*l + 5*l = 4. Find g such that 24 - 4*g**3 - l*g**4 + 4*g**4 - 24 = 0.
0, 2
Let m = -244 - -491/2. Factor 3*z - m*z**2 + 9/2.
-3*(z - 3)*(z + 1)/2
Let v(n) be the first derivative of -158*n**4 + 8*n - 42*n**2 + 29 + 112*n**3 + 552/5*n**5 - 30*n**6. Let v(b) = 0. Calculate b.
1/3, 2/5, 1
Let j(n) be the third derivative of -3*n**7/14 + 7*n**6 + 158*n**5/3 + 380*n**4/3 + 440*n**3/3 - 291*n**2. Let j(q) = 0. What is q?
-2, -2/3, 22
Let w(i) be the first derivative of 2*i**5/45 + 11*i**4/18 + 20*i**3/27 - 1. Factor w(m).
2*m**2*(m + 1)*(m + 10)/9
Let g(l) be the second derivative of l**7/3360 - l**6/720 - l**3/2 - 8*l. Let q(r) be the second derivative of g(r). Factor q(z).
z**2*(z - 2)/4
Let z(b) be the first derivative of b**4/4 + b**3/3 + b**2/2 - b - 2. Let l be z(1). Factor 2 - v**l - 4 + 3*v - 4*v - 2*v.
-(v + 1)*(v + 2)
Let c(h) = h**2 + 173*h - 1445. Let j(a) = 3*a**2 + 174*a - 1445. Let m(f) = 4*c(f) - 3*j(f). Suppose m(l) = 0. What is l?
17
Let z(y) be the second derivative of -y**3/3 - 2*y**2 + y. Let l be z(-3). Solve 0 + 4*i**l - 5 + 1 = 0.
-1, 1
Let g(n) be the second derivative of 1/24*n**4 - 17*n + 0 + 0*n**3 + 1/80*n**5 + 0*n**2. Find v such that g(v) = 0.
-2, 0
Let m(o) be the second derivative of -1/6*o**3 + 1/4*o**2 + 1/24*o**4 + 9*o + 0. Let m(c) = 0. What is c?
1
What is d in -22 - 20 - 56*d**4 + 3 + 57*d + 162*d**2 + 9 + 14*d**4 + 33*d**3 = 0?
-1, 2/7, 5/2
Let n be (-46)/(-299) + (-12)/117*-18. Solve 0 + 0*j - 1/5*j**n = 0.
0
Let q = 136/345 + -7/115. Let t(n) be the third derivative of 0*n**6 + 1/5*n**5 + 0*n**3 - n**2 + 0 - q*n**4 - 2/105*n**7 + 0*n. Factor t(u).
-4*u*(u - 1)**2*(u + 2)
Factor 54 + 1/6*m**2 + 6*m.
(m + 18)**2/6
Suppose -4*s + 2*o = 0, -s - 6 = -2*s - o. Let 21*h**2 - 7*h**2 - 5*h**s - 2*h - 7*h**2 = 0. What is h?
0, 1
Let d = 39305/11 - 3573. Suppose 10/11*z + 4/11 + 8/11*z**2 + d*z**3 = 0. Calculate z.
-2, -1
Let u be -20 + 16 + (52/(-3))/(-4). Find d, given that u*d**4 - 1/6*d**5 + 0*d**3 - 1/3*d**2 + 1/6*d + 0 = 0.
-1, 0, 1
Determine z so that 2/5*z**3 - 8*z**2 + 234/5*z - 324/5 = 0.
2, 9
Let d = 26113/6 + -4352. Suppose -4*r + 20 = r. Find u such that d*u**r + 0*u - 1/6*u**3 + 1/6*u**5 + 0 - 1/6*u**2 = 0.
-1, 0, 1
Factor -6/19*y - 4/19 - 2/19*y**2.
-2*(y + 1)*(y + 2)/19
Let c be (-3)/9 + 35 + -34. Factor c*d**2 + 0*d - 8/3.
2*(d - 2)*(d + 2)/3
Let j(c) = -2*c**3 - 3*c - 1. Let f(n) = 8*n**3 - 330*n**2 + 18159*n - 332747. Let o(d) = f(d) + 3*j(d). Find z such that o(z) = 0.
55
Suppose 20 = 5*m + 2*w, -15*w + 17*w + 8 = 2*m. Solve 8*h**2 + 9/2*h + 3*h**m + 1/2*h**5 + 7*h**3 + 1 = 0 for h.
-2, -1
Let w = -7899 + 7901. Factor -1/8*b**w - 1/4*b + 3/8.
-(b - 1)*(b + 3)/8
Let c(a) be the first derivative of -3/4*a + 1/4*a**3 - 1 + 0*a**2. Solve c(v) = 0 for v.
-1, 1
Determine u, given that 34*u + 1/2*u**2 + 67/2 = 0.
-67, -1
Let u(w) be the second derivative of -w**4/30 - 16*w**3/15 - 64*w**2/5 + 14*w - 2. Factor u(n).
-2*(n + 8)**2/5
Let h(b) be the second derivative of -b**4/6 + 10*b**3 - 29*b**2 - 11*b - 2. Solve h(u) = 0 for u.
1, 29
Let n(t) be the first derivative of 0*t**2 - 2 + 0*t**4 - 2/21*t**3 + 0*t + 2/35*t**5. Factor n(l).
2*l**2*(l - 1)*(l + 1)/7
Let n(g) = g + 3. Let t be n(0). Suppose -t*y + 84 = y. Let -3*x**2 + 10*x**4 + 13*x + 14*x**4 - 9*x**4 - y*x**3 - 3*x**5 + 11*x - 12 = 0. What is x?
-1, 1, 2
Let s be 12*3*3/18. Determine d, given that 11*d**3 - s*d**3 + 10 - 5*d - 9*d**2 - d**2 = 0.
-1, 1, 2
Let s be (6/(-14) - -1)*833/238. Let f(t) be the second derivative of 0 + t - t**3 + 1/2*t**s + 3/4*t**4. Solve f(n) = 0 for n.
1/3
Let y = -3332 + 3332. Factor 0*o - 1/3*o**4 + y*o**2 + 0 + 1/9*o**3.
-o**3*(3*o - 1)/9
Factor -447*n**3 + 362*n**3 - 110*n**4 - 45*n**5 + 2*n**2 - 22*n**2.
-5*n**2*(n + 1)**2*(9*n + 4)
Let u(n) be the second derivative of -n**5/10 + 5*n**4/3 - 13*n**3/3 - 24*n**2 + 4*n + 1. Factor u(y).
-2*(y - 8)*(y - 3)*(y + 1)
Let c(d) be the first derivative of 2*d**3/3 - 13*d**2 + 24*d + 359. Determine z, given that c(z) = 0.
1, 12
Let l(t) be the third derivative of -t**7/945 - 11*t**6/540 + 7*t**5/135 + 2*t**4/9 + t**2 + 21*t. Solve l(o) = 0.
-12, -1, 0, 2
Let s be 1 - (2/2 - 2). Let r = -10/221 - -512/1547. Suppose 0*n**3 + 1/7*n + 0 + 2/7*n**4 - r*n**s - 1/7*n**5 = 0. What is n?
-1, 0, 1
Let y(c) be the first derivative of -c**7/315 + 17*c**6/540 - c**5/9 + c**4/9 - 17*c**3/3 - 7. Let h(u) be the third derivative of y(u). Factor h(w).
-2*(w - 2)**2*(4*w - 1)/3
Suppose -4*r + 2*u + 290 = 0, -2*r - 3*r = -u - 367. Let h = 78 - r. What is l in 2/11*l**h - 2/11*l**2 + 2/11*l**5 + 0 + 0*l - 2/11*l**3 = 0?
-1, 0, 1
Let x(q) = 499*q - 4489. Let u be x(9). Find s such that 33/7*s - 3/7*s**u + 36/7 = 0.
-1, 12
Let t(l) be the second derivative of 3*l - 3/2*l**2 + 1/420*l**5 + 0 + 0*l**3 - 1/84*l**4. Let j(h) be the first derivative of t(h). Factor j(n).
n*(n - 2)/7
Determine b, given that 2/3*b**2 + 1922/3 + 124/3*b = 0.
-31
Let i(l) be the second derivative of -l**6/90 + l**4/36 - 3*l - 24. Factor i(o).
-o**2*(o - 1)*(o + 1)/3
Factor -137*o**2 - 245*o**2 + 60*o**3 + 600 + 260*o - 4*o**4 + 106*o**2.
-4*(o - 6)*(o - 5)**2*(o + 1)
Let a(h) = -3*h**3 + 7*h**2 - 5*h + 5. Let s be -4 - (-5 - -8 - 4). Let q(k) = -2*k**3 + 3*k**2 - 3*k + 3. Let w(f) = s*a(f) + 5*q(f). What is d in w(d) = 0?
-6, 0
Let s(v) be the second derivative of v**5/20 - v**4/12 + v**3/6 + v**2/2 - 8*v. Let u(q) = 6*q**3 + 4*q + 4. Let f(y) = 4*s(y) - u(y). 