 i**5/120 - i**4/36 - i**3/12 + 10*i. Factor m(h).
h*(h - 3)*(h + 1)/6
Suppose -31*j - 4 = -27*j. Let s be (-5 + (-4)/j)*0. Factor 1/4*k**2 - 1/4*k**3 + 0 + s*k.
-k**2*(k - 1)/4
Let p(a) = a**2 + 6*a + 11. Let q = -9 - -4. Let k be p(q). Let -k*f**2 + 2*f**2 + 3*f**2 = 0. Calculate f.
0
Let -123/4*c - 30 - 3/4*c**2 = 0. Calculate c.
-40, -1
Let q(x) be the third derivative of -x**6/300 - 29*x**5/150 - 13*x**4/4 + 15*x**3 - 4*x**2 - 10*x. Factor q(o).
-2*(o - 1)*(o + 15)**2/5
Factor -r**2 + 1/7*r**4 + 5/7*r + 6/7 - 5/7*r**3.
(r - 6)*(r - 1)*(r + 1)**2/7
Let m(y) be the second derivative of 3*y**5/160 + y**4/8 + 6*y + 4. Factor m(g).
3*g**2*(g + 4)/8
Let f(x) be the third derivative of x**5/20 - 41*x**4/8 - 21*x**3 - 41*x**2 - 5. Let f(l) = 0. Calculate l.
-1, 42
Let o(w) = w**2 - w. Let u(q) = -2*q**2 + 6*q - 2. Let k(j) = -j**2 - j. Let r(c) = -4*k(c) + u(c). Let b(f) = 10*o(f) + 2*r(f). Find s, given that b(s) = 0.
-1, 2/7
Let n(d) be the first derivative of d**5/140 - 5*d**4/14 + 50*d**3/7 - 14*d**2 - 28. Let u(m) be the second derivative of n(m). Solve u(s) = 0.
10
Let g(d) be the second derivative of d**4/114 - 56*d**3/57 + 784*d**2/19 - 2*d - 83. Let g(n) = 0. Calculate n.
28
Factor 184*o**2 + 4 - 46 - 56*o - 180*o**2 - 18.
4*(o - 15)*(o + 1)
Let b(y) be the first derivative of -y**3/3 + y**2/2 + y + 13. Let c(z) = 14*z**2 - 2*z - 22. Let q(k) = -10*b(k) - c(k). What is h in q(h) = 0?
-3, 1
Let u(a) be the second derivative of -a**6/30 - 2*a**5/5 + a**4/6 + 4*a**3 - 3*a**2 + 15*a. Let m(k) be the first derivative of u(k). Factor m(o).
-4*(o - 1)*(o + 1)*(o + 6)
Let z(w) be the third derivative of -w**7/210 - w**6/72 + w**5/180 + 5*w**4/72 + w**3/9 + 254*w**2. Find o such that z(o) = 0.
-1, -2/3, 1
Let f(j) = 30*j**2 - 145*j + 5. Let m(x) = -16*x**2 + 70*x - 3. Let r(b) = -3*f(b) - 5*m(b). Determine y, given that r(y) = 0.
0, 17/2
Factor 11/3*s**4 + 0 + 32/3*s**3 + 1/3*s**5 + 0*s + 28/3*s**2.
s**2*(s + 2)**2*(s + 7)/3
Let t(z) be the third derivative of 0*z - 3*z**2 + 0 + 2*z**3 + 1/20*z**5 + 1/2*z**4. Factor t(u).
3*(u + 2)**2
Let m(a) be the first derivative of a**3/12 - 179*a**2/4 + 32041*a/4 + 274. Factor m(c).
(c - 179)**2/4
Suppose 2*r = 8*r. Suppose -g = -r*g - 8. Determine w, given that -2*w**2 + 6*w**2 + 0 + 4 - g*w = 0.
1
Suppose 2*w = -0*c - 2*c + 372, 3*w - c - 562 = 0. Let h(l) = 2*l**2 + 47*l - 22. Let z be h(-24). Factor -d + 3*d**3 + 184*d**2 + 3*d**4 - w*d**z - 2*d.
3*d*(d - 1)*(d + 1)**2
Suppose 4*l - 15 = -4*s + l, 25 = -2*s + 5*l. Let y(x) be the third derivative of -3*x**2 + 0*x - 1/132*x**4 + s + 0*x**3 + 1/330*x**5. Solve y(v) = 0.
0, 1
Let v(f) be the first derivative of 11 - f**3 + 3/4*f**4 + 3*f - 3/2*f**2. Solve v(h) = 0 for h.
-1, 1
Let y(d) be the second derivative of -d**5/60 + 2*d**4/9 + 11*d**3/18 - 3*d**2 - 124*d. Find i, given that y(i) = 0.
-2, 1, 9
Let z = -30 - -35. Factor -6*j - 4*j**5 + 3*j**3 + j**z + 6*j.
-3*j**3*(j - 1)*(j + 1)
Let -8761 + 19464 + 12722 + 31250 + 3*t**2 + 810*t = 0. Calculate t.
-135
Let r = -236 - -238. Let n(u) be the first derivative of -5/12*u**3 - 5 - 1/12*u**6 - 9/16*u**4 - 1/8*u**r + 0*u - 7/20*u**5. Determine c so that n(c) = 0.
-1, -1/2, 0
Let w(r) = 7*r**3 + 27*r**2 + 22*r + 7. Let t(z) = 3*z**3 + 12*z**2 + 11*z + 4. Let v(k) = 5*t(k) - 2*w(k). Find b, given that v(b) = 0.
-3, -2, -1
Let 0 - 2/7*r**5 - 2/7*r**4 - 6/7*r**2 + 0*r + 10/7*r**3 = 0. Calculate r.
-3, 0, 1
Let m(y) = -y**4 - 12*y**3 - 5*y. Let t(r) = r**4 + 6*r**3 + 2*r. Let o(g) = -2*m(g) - 5*t(g). Determine c, given that o(c) = 0.
-2, 0
Let r(g) be the first derivative of 3*g**4/8 + 25*g**3/6 + 9*g**2 - 18*g + 965. Suppose r(z) = 0. What is z?
-6, -3, 2/3
Find c, given that 188 - 132*c**2 - 211*c**2 - 278*c - 10*c**3 + 124*c**2 - 257*c**2 = 0.
-47, -1, 2/5
Suppose -i + 5*t - 10 = 2, 2*i - 5*t + 9 = 0. Suppose -3*h = -i*n + 9, -3*n - 5*h = n - 21. Factor -3*z**n + 3*z**3 + 5*z**3 - z**4 + 8*z**4.
4*z**3*(z + 2)
Let q = 35 + -103/3. Let v = -2/21 + q. Factor -4/7*p**4 - v*p + 0 - 12/7*p**3 - 12/7*p**2.
-4*p*(p + 1)**3/7
Let o = 2146/15 + -143. Let p(l) be the second derivative of -4*l + 0 - o*l**4 + 1/15*l**3 + 0*l**2 + 1/50*l**5. What is q in p(q) = 0?
0, 1
Let l be 1 - 12 - (161 + -172). Let l - 1/9*x**2 + 0*x = 0. Calculate x.
0
Let u(p) be the first derivative of -38*p**3/3 - 230*p**2 - 48*p + 311. Factor u(x).
-2*(x + 12)*(19*x + 2)
Let d(v) be the second derivative of -11 + 3/20*v**5 - v + 0*v**4 + 0*v**3 + 0*v**2 + 1/50*v**6. Find o, given that d(o) = 0.
-5, 0
Let y(h) be the third derivative of h**6/60 - h**5/6 + h**4/4 + 3*h**3 - 18*h**2 - h. Let y(z) = 0. What is z?
-1, 3
Let x(y) be the first derivative of -y**4/20 + y**3/5 - 4*y/5 + 295. What is t in x(t) = 0?
-1, 2
Suppose -4*i = 19*i. Let b(x) be the third derivative of 0*x + 0*x**5 + 0 + 1/112*x**8 - 1/35*x**7 + 1/40*x**6 + 0*x**3 - 2*x**2 + i*x**4. Factor b(o).
3*o**3*(o - 1)**2
Let s(y) be the first derivative of -y**6/120 + y**4/16 - y**3/12 - 8*y + 3. Let x(f) be the first derivative of s(f). Factor x(a).
-a*(a - 1)**2*(a + 2)/4
What is u in 0 + 0*u + 0*u**2 + 2/11*u**4 - 4/11*u**3 = 0?
0, 2
Factor 2/15*v**3 + 22/15*v + 14/15*v**2 + 2/3.
2*(v + 1)**2*(v + 5)/15
Let a be (4 - (0 - 1) - 0) + -4. Let b(c) be the first derivative of a + 0*c**2 + 0*c**4 - 3/10*c**5 - 3/2*c + c**3. Solve b(f) = 0 for f.
-1, 1
Let n(f) be the second derivative of 3*f**7/56 + 31*f**6/20 + 199*f**5/20 + 235*f**4/24 + 25*f**3/8 + 341*f. Determine c so that n(c) = 0.
-15, -5, -1/3, 0
Let 3/4*u - 3/4*u**2 + 9 = 0. Calculate u.
-3, 4
Let l be 2/(-6) - (-10)/(-15). Let k = l + 4. Determine y so that 5 + y**3 - 5 + 2*y**4 + 4*y**5 - k*y**5 = 0.
-1, 0
Let f(p) be the first derivative of -3/5*p**5 + 0*p**2 + 3/4*p**4 + 3 + 2*p**3 + 0*p. Factor f(u).
-3*u**2*(u - 2)*(u + 1)
Factor 3*r**4 + 78*r**2 + 0*r**3 - 78*r**2 + 3*r**3.
3*r**3*(r + 1)
Let l be 14*1/(-2) - (-118)/14. What is h in 6/7 + 2/3*h**2 - 2/21*h**3 - l*h = 0?
1, 3
Let h = 907 + -903. Factor -2/7*b**h + 0*b - 2/21*b**5 - 2/21*b**2 + 0 - 2/7*b**3.
-2*b**2*(b + 1)**3/21
Let g(m) = -m**2 - 35*m - 92. Let k be g(-22). Determine q, given that 194*q - 4*q**3 - 392*q + k*q + 8*q**2 = 0.
0, 1
Suppose 0 = f - 3*f + 36. Let z = f + -15. Factor -3*i**2 - 3*i - 1 - 7*i**3 + 3*i**3 + 3*i**z.
-(i + 1)**3
Factor -6*k + 3/2*k**2 - 6 + 3/2*k**3.
3*(k - 2)*(k + 1)*(k + 2)/2
Let y(p) = 3*p**4 - 6*p**3 - 2*p**2 + 6*p + 9. Let l(d) = 2*d**4 - 6*d**3 - 2*d**2 + 6*d + 8. Let b(r) = 5*l(r) - 4*y(r). Let b(a) = 0. Calculate a.
-2, -1, 1
Let s(c) be the second derivative of 5*c**5/46 - 120*c**4/23 + 188*c**3/23 - 112*c**2/23 - 140*c. Factor s(i).
2*(i - 28)*(5*i - 2)**2/23
Let g = 3941/440 + -351/40. Let -2/11*n - g*n**4 - 2/11*n**5 - 2/11 + 4/11*n**3 + 4/11*n**2 = 0. What is n?
-1, 1
Let y(h) be the third derivative of -1/448*h**8 + 0*h - 12*h**2 + 0*h**6 + 0*h**5 + 0*h**4 + 0*h**3 + 1/140*h**7 + 0. Factor y(q).
-3*q**4*(q - 2)/4
Let w(r) be the second derivative of r**5/40 + r**4/6 - 11*r**3/12 + 3*r**2/2 + 2*r - 115. Factor w(d).
(d - 1)**2*(d + 6)/2
Determine h so that -10 + 21/2*h - 1/2*h**2 = 0.
1, 20
Let t(p) = -31*p - 27*p**2 + 54*p**2 - 13 - 29*p**2. Let r be t(-15). Let 3/2*x**r + x + 1/2*x**3 + 0 = 0. What is x?
-2, -1, 0
Let v(x) = -2*x**3 + 27*x**2 - 4*x - 9. Let b be v(14). Let a = 261 + b. Factor -2/7*h**4 + 2/7 + 4/7*h**3 + a*h**2 - 4/7*h.
-2*(h - 1)**3*(h + 1)/7
Let m(r) be the first derivative of r**6/200 - r**5/25 + 3*r**4/40 - 8*r**2 - 5. Let l(z) be the second derivative of m(z). Solve l(w) = 0 for w.
0, 1, 3
Let k(d) be the first derivative of -d**3 + 9*d**2/2 - 80. Factor k(b).
-3*b*(b - 3)
Solve 8/19*t**3 - 54/19*t**2 + 34/19*t + 12/19 = 0.
-1/4, 1, 6
Let u(p) = 28*p**2 + 2*p. Let z(y) = -y**2. Let l(x) = -u(x) + 2*z(x). Suppose l(j) = 0. What is j?
-1/15, 0
Let m be 7 + (51/34)/(2/(-4)). Let s be (m/(-119))/((-6)/21). Factor s*b**2 + 2/17*b + 0.
2*b*(b + 1)/17
Let j(h) be the second derivative of -h**7/189 - h**6/15 - 7*h**5/30 - 19*h**4/54 - 2*h**3/9 + 19*h. Factor j(z).
-2*z*(z + 1)**3*(z + 6)/9
Let f be (-122)/1830 + (-74)/(-210). Factor f*l**3 + 0 + 2/7*l + 4/7*l**2.
2*l*(l + 1)**2/7
Let 92*d**4 + d + 3*d - 98*d**3 + 84*d**5 + 12 - 104*d**2 + 10*d**3 = 0. What is d?
-1, -3/7, 1/3, 1
Let i(l) be the first der