or 0 + d*h + 2/3*h**2.
2*h**2/3
Let p(k) be the second derivative of -k**6/6 - 5*k**5/4 - 10*k**4/3 - 10*k**3/3 - 24*k. Factor p(u).
-5*u*(u + 1)*(u + 2)**2
Let n(l) be the second derivative of -l**7/147 - 2*l**6/105 - l**5/70 - 2*l. Find o such that n(o) = 0.
-1, 0
Let i = -5 + 9. Factor -i*m**3 + 5*m**3 + m**2 + m + m**2.
m*(m + 1)**2
Suppose -2*t - 9 = -4*t + 3*a, 4*t = a + 13. Find m such that 0*m**3 - m + 2 + m**2 - 3 + m**t = 0.
-1, 1
Let f = -134/3 + 136/3. Find s, given that f*s**3 - 4/3*s**2 + 0 + 2/3*s = 0.
0, 1
Let u = 13 + -9. Factor -6*g - 8 + 5*g**2 - 2*g + g**2 + 8*g**3 + 0*g**u + 2*g**4.
2*(g - 1)*(g + 1)*(g + 2)**2
Let g = 136/5 + -27. Let r(t) be the first derivative of -g*t**2 - 1/15*t**3 - 1/5*t + 2. Factor r(m).
-(m + 1)**2/5
Let q = -57 + 57. Let t(s) be the third derivative of 0*s**3 - s**2 + 1/360*s**6 - 1/36*s**4 - 1/180*s**5 + q + 0*s. What is p in t(p) = 0?
-1, 0, 2
Let n(v) be the third derivative of 1/15*v**5 + 0*v + 0*v**4 - 3*v**2 + 1/30*v**6 - 1/84*v**8 + 0 - 2/105*v**7 + 0*v**3. Factor n(s).
-4*s**2*(s - 1)*(s + 1)**2
Let o(d) be the first derivative of 0*d**2 - 2/15*d**3 - 3 + 2/25*d**5 - 1/10*d**4 + 0*d + 1/15*d**6. Solve o(z) = 0 for z.
-1, 0, 1
Let t(j) be the first derivative of 0*j**3 - 1/5*j**2 + 1/10*j**4 + 0*j - 3. Determine h, given that t(h) = 0.
-1, 0, 1
Let y(o) be the third derivative of 0*o + 1/28*o**4 + 5*o**2 - 2/21*o**3 + 0 - 1/210*o**5. Let y(w) = 0. Calculate w.
1, 2
Let a(o) be the third derivative of o**6/600 + o**5/50 + o**4/10 + 4*o**3/15 - 26*o**2. Factor a(j).
(j + 2)**3/5
Factor 5*a**2 - 8*a - 10 - 11 + 11 + 3*a.
5*(a - 2)*(a + 1)
Factor -1/3 + 2/3*g - 1/3*g**2.
-(g - 1)**2/3
Let f(l) = l**4 + l**3 - l**2 + l + 1. Let x(v) = 2*v**3 + 1 + 6*v**2 - 8*v**3 - 4*v - 4 - 2*v**4. Let t(n) = 3*f(n) + x(n). Let t(d) = 0. Calculate d.
0, 1
What is z in 4 + 0*z - 46*z**2 + 42*z**2 - 4*z + 4*z**3 = 0?
-1, 1
Let i(r) be the second derivative of r**5/26 + r**4/26 - 5*r**3/39 - 3*r**2/13 + 33*r. Factor i(d).
2*(d - 1)*(d + 1)*(5*d + 3)/13
Suppose 4*x + 0*x - 2*n = 98, 0 = -x + n + 25. Let w be (1/(-2))/((-4)/x). Factor 7*u**w - 9*u**3 + 2*u + 0*u.
-2*u*(u - 1)*(u + 1)
Let -225*c - 61*c**3 + 134 + 15*c**4 + 267*c**2 - 50*c**3 - 80 = 0. Calculate c.
2/5, 1, 3
Let o(k) = k**3 - 6*k**2 - 5*k - 14. Let p be o(7). Factor 1/2*w + p - 1/2*w**3 + 0*w**2.
-w*(w - 1)*(w + 1)/2
Suppose 10 - 16 = -3*o. Find z such that -3*z**3 - 11*z**2 - 7*z**2 - 9 + 3*z**o - 21*z = 0.
-3, -1
Let l(v) = -7*v**3 + 17*v**2 - 27*v + 7. Let y(p) = -4*p**3 + 9*p**2 - 14*p + 3. Let q(n) = 3*l(n) - 5*y(n). Factor q(k).
-(k - 3)*(k - 2)*(k - 1)
Let b(o) = o**2 - o - 1. Let a(x) = -5*x**3 - 40*x**2 + 5*x + 5. Let p(q) = -a(q) - 5*b(q). Factor p(d).
5*d**2*(d + 7)
Let m(k) be the third derivative of -1/180*k**5 + 2*k**2 + 1/3*k**3 - 1/135*k**6 + 0*k**4 + 0 + 0*k. Let f(w) be the first derivative of m(w). Factor f(v).
-2*v*(4*v + 1)/3
Let f(m) be the first derivative of -m**3/2 + 3*m**2/2 + 9*m/2 + 6. Determine c, given that f(c) = 0.
-1, 3
Let s(f) = 14*f**2 + 8*f + 11. Let m(h) = 7*h**2 + 4*h + 6. Let v(x) = 11*m(x) - 6*s(x). Let c(u) = -4*u**2 - 2*u. Let w(o) = 5*c(o) - 3*v(o). Factor w(r).
r*(r + 2)
Let f = 5 + -3. Suppose -3*g - c = f*c - 9, 0 = 2*g + 4*c. Let -g*q + 6*q**3 - 3 + 6*q**4 - 3*q**4 + 0*q**4 = 0. Calculate q.
-1, 1
Let o be 2 - (-4)/((-196)/91). Factor -1/7*r**2 + o - 1/7*r**3 + 1/7*r.
-(r - 1)*(r + 1)**2/7
Let n(q) = 6*q. Let u(y) = 17*y - 1. Let b(h) = -11*n(h) + 4*u(h). Let c be b(3). Factor 0 - 3/2*w**c - w.
-w*(3*w + 2)/2
Suppose 0 = -j - 5*b + 3, -b - 6 = -2*j + 2*b. Factor 0*t**2 - 4/7*t**4 + 0*t - 2/7*t**j + 0 - 2/7*t**5.
-2*t**3*(t + 1)**2/7
Factor 2/3*s**2 + 2/3 + 4/3*s.
2*(s + 1)**2/3
Let a = 8 + -5. Factor 4*m**a - 5*m**3 + 1 + 4*m - 3*m - m**2.
-(m - 1)*(m + 1)**2
Let k(r) = -r**2 - 19*r - 14. Let u be k(-18). Let 2/7*h**2 + 2/7*h**u + 0*h + 0 - 4/7*h**3 = 0. Calculate h.
0, 1
Let n(s) be the second derivative of s**4/42 - s**3/21 + 10*s. Let n(z) = 0. What is z?
0, 1
Let h(w) be the first derivative of 2/21*w**3 + 1/7*w**2 + 3 + 0*w. Factor h(v).
2*v*(v + 1)/7
Factor 0 + 2*z**2 - 2 + 0*z**2 + 0.
2*(z - 1)*(z + 1)
Let a(o) be the second derivative of 1/135*o**6 + 1/9*o**2 + 0*o**5 - 1/27*o**4 - 3*o + 0*o**3 + 0. Determine u so that a(u) = 0.
-1, 1
Let s(r) be the third derivative of r**6/900 + r**5/150 - r**3/2 + 3*r**2. Let g(q) be the first derivative of s(q). Factor g(x).
2*x*(x + 2)/5
Let f(b) = 7*b - b - 3 - 5*b**2 - b**3 + 6. Let w be f(-6). Find p such that -p**5 - 2*p**3 + p + w*p**5 - p**5 = 0.
-1, 0, 1
Let q be (-2)/(-3) - (-2)/(-3). Let d(f) be the third derivative of -1/20*f**5 - 7/360*f**6 - f**2 - 1/36*f**4 + 0*f + 0*f**3 + q. Factor d(v).
-v*(v + 1)*(7*v + 2)/3
Suppose -r = 2*j + 2*r + 15, 0 = 2*j - 3*r - 15. Factor 1/4*p**4 + 5/4*p**3 + j + 2*p**2 + p.
p*(p + 1)*(p + 2)**2/4
Let x(o) = -o**3 - 3*o**2 + 4*o + 4. Let u be x(-4). Let f(b) = -b. Let i be f(-2). Solve 2*r - 6*r**2 + 0*r + i - 2*r**3 + u*r**2 + 0*r**3 = 0.
-1, 1
Let v(k) = -k**3 - k**2 - k + 1. Let u(g) = -4*g**3 - 6*g**2 - 6*g + 6. Let x(r) = -u(r) + 5*v(r). Determine t, given that x(t) = 0.
-1, 1
Factor i**4 - i**5 + i**4 - i**3 - i + 3*i**3 + 2 - 4*i**2.
-(i - 2)*(i - 1)**2*(i + 1)**2
Let m(s) be the second derivative of s**5/30 + s**4/72 - s**3/9 - s**2/12 + 6*s. Let m(c) = 0. Calculate c.
-1, -1/4, 1
Let x = -138 - -141. Factor -3/2*l**3 - 3/2*l + 0 + x*l**2.
-3*l*(l - 1)**2/2
Suppose -12*x - 3*x**2 - 6 - 6 - 3*x = 0. What is x?
-4, -1
Let k be (-3)/(3/(-2)) + 7. Determine l so that -23*l**2 + k*l**2 - 5*l - 4 + 23*l = 0.
2/7, 1
Suppose 1 = -2*s + 5. Suppose -i - 2 = -5. Let 3*c**2 + 2*c**i - 2*c**s - c**3 = 0. Calculate c.
-1, 0
Let i(a) = 2*a. Let t(g) be the third derivative of 0 + 0*g**4 + 2*g**2 - 1/60*g**5 - 1/6*g**3 + 0*g. Let m(q) = i(q) + t(q). Factor m(z).
-(z - 1)**2
Let z be 20/28*(3 + 4). What is g in 10/11*g + 4/11*g**4 + 4/11 - 20/11*g**3 + 10/11*g**z - 8/11*g**2 = 0?
-1, -2/5, 1
Let b(d) be the third derivative of 0 + 1/48*d**6 + 1/48*d**4 + 0*d + 2*d**2 - 1/6*d**3 + 1/15*d**5. Factor b(i).
(i + 1)**2*(5*i - 2)/2
Let t(r) = r - 29. Let w be t(29). Let m(k) be the third derivative of 0*k + 0*k**3 + k**2 + w - 1/180*k**6 + 0*k**4 + 1/90*k**5. Factor m(u).
-2*u**2*(u - 1)/3
Let b(c) be the first derivative of 1/8*c**2 - 1/12*c**3 - 2 - 1/16*c**4 + 0*c + 1/20*c**5. Find x such that b(x) = 0.
-1, 0, 1
Let h(s) = -14*s**3 - 2*s**2 + s. Let d be h(1). Let z(x) = 36*x**2 - 27*x - 15. Let p(i) = 5*i**2 - 4*i - 2. Let l(m) = d*p(m) + 2*z(m). Factor l(n).
-3*n*(n - 2)
Let c(u) = -4*u**3 - 2*u**3 + 0*u + 4*u**2 - 2*u. Let v(f) = -f**2. Let l(o) = c(o) - 3*v(o). Determine t so that l(t) = 0.
0, 1/2, 2/3
What is f in 10/7*f**4 + 16/7*f - 2*f**3 - 2/7*f**2 - 2/7*f**5 - 8/7 = 0?
-1, 1, 2
Factor 31 + 28*i**4 + 172*i**2 + 63*i**3 + 56*i**3 + 96*i + i**3 - 15.
4*(i + 1)**2*(i + 2)*(7*i + 2)
Let y(w) be the second derivative of -5/42*w**4 - 2/35*w**5 - 1/105*w**6 + 0*w**2 - 2/21*w**3 + 0 + 7*w. Solve y(j) = 0 for j.
-2, -1, 0
Let g(o) be the third derivative of -o**11/997920 + 11*o**5/60 + 10*o**2. Let p(i) be the third derivative of g(i). What is r in p(r) = 0?
0
Let m(w) = -2*w + 2 + 2*w**3 + 2*w**2 + 2*w. Let t(f) = -f**2 - f + 1. Let g(j) = -m(j) + 2*t(j). Solve g(z) = 0 for z.
-1, 0
Let y = 30 + -30. Let c(j) be the second derivative of 0 - j + 1/30*j**3 + 0*j**4 - 1/50*j**5 + 0*j**6 + y*j**2 + 1/210*j**7. Factor c(d).
d*(d - 1)**2*(d + 1)**2/5
Let f(r) = -r**2 + 9*r + 6. Let y be f(9). Factor -1 + 6*c - y*c + 3*c**2 - 2*c.
(c - 1)*(3*c + 1)
Let b(w) be the third derivative of -w**6/100 - w**5/100 + w**4/8 - w**3/5 + 5*w**2. Factor b(a).
-3*(a - 1)*(a + 2)*(2*a - 1)/5
Let a(f) be the first derivative of 2*f**5/5 - 5*f**4/6 - 2*f**3/9 + 5*f**2/3 - 4*f/3 - 3. Find z, given that a(z) = 0.
-1, 2/3, 1
Let -2/13*o**5 - 2/13*o**3 + 0*o + 0*o**2 + 0 + 4/13*o**4 = 0. What is o?
0, 1
Let q(w) = 2*w**4 - 18*w**3 + 5*w**2 + 18*w - 13. Let i(f) = -f**4 - f**3 + f - 1. Let t(k) = 3*i(k) - q(k). Determine l, given that t(l) = 0.
-1, 1, 2
Let i(v) be the first derivative of -1 + 0*v**3 + 1/36*v**4 + 0*v - v**2 + 1/36*v**5 - 7/360*v**6. Let g(w) be the second derivative of i(w). Factor g(m).
-m*(m - 1)*(7*m + 2)/3
Factor -15/8*a**2 + 0 -