*4 + 4*r**3/3 - 6*r**2 - 8*r - 1. Solve f(h) = 0.
-2, -1, 1
Let t(m) be the first derivative of 3 + 8/15*m**5 + 8/3*m**3 + 11/6*m**4 + 0*m + 1/18*m**6 + 3/2*m**2. Solve t(h) = 0 for h.
-3, -1, 0
Let v(s) be the third derivative of s**7/840 - s**6/360 - 4*s**3/3 - 12*s**2. Let m(q) be the first derivative of v(q). Factor m(k).
k**2*(k - 1)
Let u(p) be the third derivative of -p**5/180 + 7*p**4/18 - 26*p**3/9 - 139*p**2 - 2. Factor u(m).
-(m - 26)*(m - 2)/3
Let u be (-1 - -1)/(15 - 16). Solve u*j**5 + 20*j**3 + 10*j**2 + 10 + 5*j**5 - 20*j**4 - 9*j - 16*j = 0 for j.
-1, 1, 2
Let l(k) = k - 140 + 70 + 67. Let t be l(5). Suppose -1/4*w**t + 1/2 + 1/4*w = 0. What is w?
-1, 2
Suppose -2*n + 0*c + 84 = c, 5*c = -20. Let w = 46 - n. What is l in -2/13*l**3 + 2/13*l**w + 0 + 0*l = 0?
0, 1
Suppose -1149*a + 16 = -1141*a. Let k(y) be the second derivative of 14*y**3 - 9/4*y**5 + 0 + 12*y**a - 6*y + 7/2*y**4. Factor k(b).
-3*(b - 2)*(3*b + 2)*(5*b + 2)
Let k = 647 + -647. Let p(a) be the first derivative of 7 + 2/3*a**3 + 2/5*a**5 + k*a - a**4 + 0*a**2. What is b in p(b) = 0?
0, 1
Let i(w) be the second derivative of 2*w**7/21 + 4*w**6/3 - 52*w**5/5 + 56*w**4/3 + 3*w + 176. Solve i(v) = 0.
-14, 0, 2
Factor 0 + 3/2*c**3 - 9*c**2 + 12*c.
3*c*(c - 4)*(c - 2)/2
Let g(h) be the second derivative of -h**5/50 + 52*h**4/45 - 167*h**3/45 + 22*h**2/5 + 135*h. Suppose g(d) = 0. Calculate d.
2/3, 1, 33
Let d(o) be the second derivative of -2*o**6/15 + 16*o**5/25 - 6*o**4/5 + 16*o**3/15 - 2*o**2/5 - 201*o. Solve d(i) = 0 for i.
1/5, 1
Let h(o) = -o - 27. Let t be h(-6). Let i be 18/t*2/(-4). Factor -i*g - 2/7 - 1/7*g**2.
-(g + 1)*(g + 2)/7
Suppose -x + 5*x - 16 = 0. Factor 0*q**2 - q**2 + q**x + q**3 - q**5 + 0*q**2 + 0*q**4.
-q**2*(q - 1)**2*(q + 1)
Let n be 0/((-5)/((-10)/(-4))). Suppose -4*o + 44 = -4*d, 25*o - 28*o - 5*d - 39 = 0. Factor -1/4*r**o - 1/4*r + n.
-r*(r + 1)/4
Find b such that -b**2 + 28 - 133*b - 126*b - 126*b + 388*b = 0.
-4, 7
Let l(r) be the first derivative of 4*r**5/5 - 11*r**4 - 4*r**3/3 + 22*r**2 + 66. Factor l(q).
4*q*(q - 11)*(q - 1)*(q + 1)
Let z(d) = 6*d**3 - 2*d**2 - 4. Suppose 4*g = 2*g. Let i(h) = h - 3*h**2 + 2*h**2 - 1 + h**3 + g*h. Let n(c) = 14*i(c) - 2*z(c). Find r, given that n(r) = 0.
1, 3
Let u be (-676)/1859 + 116/77. Let -4/7*m**4 + 0 - u*m - 4/7*m**5 + 4/7*m**2 + 12/7*m**3 = 0. What is m?
-2, -1, 0, 1
Let r be (-1251)/(-540) - (-3)/12. Let s = r + -13/6. Factor s*j + 0 - 9/5*j**3 - 7/5*j**2.
-j*(j + 1)*(9*j - 2)/5
Let s be ((-77)/(-92))/((-2)/4). Let h = -4/23 - s. Let 0 + h*t + 1/2*t**2 = 0. What is t?
-3, 0
Suppose -9/4*y - 1/4*y**2 - 9/2 = 0. What is y?
-6, -3
Let l be (40/6 - (-147)/(-21)) + (-34)/(-30). Factor l*h**2 + 12/5*h + 0.
4*h*(h + 3)/5
Let f(z) = -7*z**3 + 5*z**2 + 6*z - 4. Let c(u) = -2*u**2 + u**3 + 6*u**3 - 9*u**3 + 2 - 3*u + 5*u**3. Let j(t) = -10*c(t) - 4*f(t). Let j(b) = 0. Calculate b.
-2, 1
Let x be 10/(-105)*3/(-6). Let s(f) be the second derivative of 0 + 1/14*f**4 + 0*f**2 + 1/105*f**6 + 3/70*f**5 + x*f**3 + 7*f. Factor s(z).
2*z*(z + 1)**3/7
Let z = 98 - 96. Let p(j) be the second derivative of 0*j**z + 0 - 2/15*j**3 + 1/30*j**4 + 4*j. Factor p(x).
2*x*(x - 2)/5
Let b be (-84)/(-35) - (2/5)/1. Factor 24*h**3 + 2*h**2 - 26*h - 12*h**2 + 3*h**5 - h + 18*h**4 - 8*h**b.
3*h*(h - 1)*(h + 1)*(h + 3)**2
Let u be ((-22)/11)/(-3 + 5/2). Let i(j) be the first derivative of 0*j + 10 - 3/8*j**u + 0*j**2 + j**3. Factor i(h).
-3*h**2*(h - 2)/2
Let r(d) be the second derivative of d**4/54 - 248*d**3/27 + 15376*d**2/9 + 17*d + 17. Determine j so that r(j) = 0.
124
Let j = 349/2 - 174. Let n(a) be the second derivative of -1/6*a**3 + 1/20*a**5 + 1/15*a**6 + j*a**2 + 4*a + 0 - 1/4*a**4. Factor n(d).
(d - 1)*(d + 1)**2*(2*d - 1)
Let b(o) be the second derivative of o**7/5880 - o**6/840 + o**5/280 - o**4/168 - 5*o**3/3 - 7*o. Let w(m) be the second derivative of b(m). Factor w(l).
(l - 1)**3/7
Let p = 104 - 11. Let g = -185/2 + p. Factor -1/2*h**2 + 0 + 1/2*h**3 + 1/2*h**4 - g*h.
h*(h - 1)*(h + 1)**2/2
Determine y, given that -16/3*y + 0 + 124/3*y**2 + 119/3*y**4 - 92*y**3 + 49/3*y**5 = 0.
-4, 0, 2/7, 1
Let t(c) be the first derivative of -2*c**3/3 + 2*c**2 - 2*c - 1. Factor t(y).
-2*(y - 1)**2
Let v be (12/(-8) + 2)*0. Factor -4*b**2 - 15*b - 8 + v*b**2 - 12 - 9*b.
-4*(b + 1)*(b + 5)
Let m be ((-4)/(-12))/(2/24). Suppose -6 = -m*t + 6. Factor -d + 3*d**3 + d**t - 3*d**3.
d*(d - 1)*(d + 1)
Let y(k) = k**2 + 35*k + 127. Let t be y(-4). What is p in -3/2*p + 1/2 + 3/2*p**2 - 1/2*p**t = 0?
1
Suppose -6*o = -10*o + 76. Suppose 3*b + 36*b**3 - 6*b**2 - o*b**3 - 14*b**3 = 0. Calculate b.
0, 1
Let n(g) be the second derivative of -g**4/48 + 49*g**3/12 - 2401*g**2/8 - 75*g. Find v such that n(v) = 0.
49
Let w(z) be the second derivative of 5*z**4/12 - 145*z**3/3 + 4205*z**2/2 - 27*z - 2. Factor w(x).
5*(x - 29)**2
Let k be 30/48 - (-121)/(-200). Let p(m) be the second derivative of k*m**6 + 0 + 0*m**2 - 1/20*m**4 - 3/100*m**5 + 1/70*m**7 + 0*m**3 - 12*m. Factor p(j).
3*j**2*(j - 1)*(j + 1)**2/5
Let a(f) be the second derivative of 52*f**5/5 + 109*f**4/3 + 16*f**3/3 - 8*f**2 - 240*f. Factor a(j).
4*(j + 2)*(4*j + 1)*(13*j - 2)
Let x(k) be the third derivative of 0*k**3 - 1/12*k**5 + 0*k - 12*k**2 + 0 - 5/12*k**4. Let x(d) = 0. Calculate d.
-2, 0
Let y be (-150)/(-45) + 1/(-3). Factor 0*u + 4/5*u**2 + 0 + 4/5*u**4 + 8/5*u**y.
4*u**2*(u + 1)**2/5
Suppose -2*b = -3*d - 5, 4*b = -0*b - 2*d + 2. Let z be (7/(-4))/(b/(-4)). Factor 9*c**4 + 3*c**2 - 3*c**3 + 4*c**3 - 3*c**5 - 3*c**3 - z*c**3.
-3*c**2*(c - 1)**3
Factor 4/9*z + 0 - 4/3*z**3 - 22/9*z**2.
-2*z*(z + 2)*(6*z - 1)/9
Find l, given that 0 + 363*l + 22*l**2 + 1/3*l**3 = 0.
-33, 0
Factor 0 + 4/3*m**2 + 2/3*m**3 + 2/3*m.
2*m*(m + 1)**2/3
Suppose -2*q + 8 = 4. Let j(x) be the first derivative of -q*x**3 - 1 + x**3 - x**2 + 7. Factor j(a).
-a*(3*a + 2)
Let x(h) be the second derivative of h**4/20 - 2*h**3/5 - 144*h**2/5 - 674*h. Factor x(w).
3*(w - 12)*(w + 8)/5
Let d(q) = 28*q**4 + 100*q**3 + 48*q**2 - 160*q. Let k(f) = -9*f**4 - 33*f**3 - 16*f**2 + 53*f. Let u(a) = -5*d(a) - 16*k(a). What is z in u(z) = 0?
-6, -2, 0, 1
Let l(s) = -s**2 - 12*s + 17. Let f be l(-13). Suppose 9 + 3 = f*w. Factor -3*j**2 - 3*j - j - 9*j**2 + 15*j**w - 6*j**3 + 7*j**4.
j*(j - 1)*(j + 2)*(7*j + 2)
Let t be (-16 - -18)/(2/4). Suppose -t*d = -3*d - 3. Factor -5*x**4 - x**5 + 8 - 7*x - 9 - 10*x**d + 2*x - 10*x**2.
-(x + 1)**5
Suppose -4*x - 4*d = 24, -4*x = -4*d - 7 - 1. Let u be (-7)/(-2) - ((-2 - -7) + x). Suppose -u - 9/4*a**2 + 5/4*a**3 - 1/4*a**4 + 7/4*a = 0. Calculate a.
1, 2
Let d be (-69)/((-4 - -11)/(-7)). Let p = -66 + d. Determine g, given that -3/7*g**5 - 3/7*g**4 + 9/7*g**p + 3/7*g**2 - 6/7*g + 0 = 0.
-2, -1, 0, 1
Let h(l) be the second derivative of l**7/2520 - l**6/180 + l**5/40 - l**4/18 - 5*l**3/3 - 13*l. Let m(p) be the second derivative of h(p). Factor m(o).
(o - 4)*(o - 1)**2/3
Suppose -8*c + 30 = 2*c. Solve 28 - 28*t**3 + 68*t**2 - c*t - 65*t + 4*t**4 - 4 = 0 for t.
1, 2, 3
Let y(k) be the first derivative of -k**8/420 - 2*k**7/105 - k**6/18 - k**5/15 + 11*k**3/3 + 5. Let r(l) be the third derivative of y(l). Factor r(x).
-4*x*(x + 1)**2*(x + 2)
Factor 3*z**3 + 17*z**2 - 9*z**2 - 2*z**2 - 9*z**2.
3*z**2*(z - 1)
Factor -2*r**3 + 0 - 2/5*r**4 - 8/5*r - 16/5*r**2.
-2*r*(r + 1)*(r + 2)**2/5
Let r(g) = -g + 19. Let n be r(16). Solve -n*a**2 + 12 + a**2 + 12*a + 5*a**2 = 0.
-2
Let u(y) be the second derivative of -y**7/140 - y**6/120 + y**5/40 - y**3/6 + 19*y. Let s(b) be the second derivative of u(b). Find v such that s(v) = 0.
-1, 0, 1/2
Let s(g) = -g**2 + 4*g - 1. Let d be s(2). Factor 5*a**3 - 6*a**3 - 8*a - 13*a**d - 32*a**2.
-2*a*(a + 2)*(7*a + 2)
Let f(a) be the third derivative of -a**11/110880 + a**10/25200 - a**9/20160 + a**5/15 - 3*a**2. Let j(h) be the third derivative of f(h). Solve j(t) = 0 for t.
0, 1
Let w be (-8)/(-6)*(-15)/(-4). Factor 3*u**2 + w*u**3 - 2*u**3 - u**3 + u**3.
3*u**2*(u + 1)
Let r(i) be the second derivative of -1/4*i**4 - 1/2*i**3 + 3/20*i**5 + 0*i**2 + 30*i + 0 + 1/10*i**6. Factor r(o).
3*o*(o - 1)*(o + 1)**2
Let d(c) = c**3 - 12*c**2 + 11*c - 8. Let a be d(11). Let h be ((-24)/9)/(a/36). Find u such that 2*u**4 - 2 + 2 - 10*u**3 + h*u**3 = 0.
-1, 0
Le