5*p(g). Factor w(s).
s*(15*s + 2)
Let t(v) be the first derivative of -2*v**5/5 + v**4/2 + 2*v**3 - 5*v**2 + 4*v - 6. Suppose t(s) = 0. Calculate s.
-2, 1
Let q(k) be the first derivative of k**7/210 - k**6/120 - k**5/60 + k**4/24 - k**2/2 - 4. Let r(v) be the second derivative of q(v). Solve r(m) = 0 for m.
-1, 0, 1
Factor -4/7 + 10/7*a**2 + 6/7*a.
2*(a + 1)*(5*a - 2)/7
Let a(l) be the third derivative of -l**7/840 + l**6/240 - l**5/240 + 4*l**2. Solve a(n) = 0 for n.
0, 1
Let b(m) be the third derivative of m**8/80640 - m**6/2880 + 7*m**5/60 - 8*m**2. Let x(a) be the third derivative of b(a). Factor x(f).
(f - 1)*(f + 1)/4
Let b = 166 + -164. Factor -9/4*m**b - 1/4*m + 0 - 4*m**4 - 6*m**3.
-m*(m + 1)*(4*m + 1)**2/4
Let o(w) be the second derivative of -w**6/30 - w**5/20 + w**4/3 + 2*w**3/3 - 22*w. Let o(h) = 0. Calculate h.
-2, -1, 0, 2
Let k(w) be the third derivative of -1/336*w**8 + 0*w**7 + 0 + 2*w**2 + 0*w**3 + 0*w**4 + 0*w**5 + 0*w + 0*w**6. Factor k(i).
-i**5
Suppose 0 = 2*a - a - 3. Let p be (-1)/((0 - 1)/2). Find z such that -z**2 - z**4 + z**p + 3*z**a - 2*z**2 = 0.
0, 1, 2
Let g(x) be the third derivative of 1/189*x**7 + 2*x**2 + 0 - 1/540*x**6 - 1/270*x**5 + 0*x**3 - 1/504*x**8 + 0*x + 0*x**4. Determine z, given that g(z) = 0.
-1/3, 0, 1
Let h be (-2 - -1)*6/(-2). Let j = -7 + 7. Suppose -2/3*t**h + j + 2/3*t + 0*t**2 = 0. What is t?
-1, 0, 1
Let z be (-63)/14*4/3. Let i be 39/15 + z/10. What is o in 1/2*o**4 - o**2 + 1/2 - o**5 - o + i*o**3 = 0?
-1, 1/2, 1
Let d(x) be the first derivative of x**4/4 + 4*x**3/3 + x**2 - x + 1. Let j be d(-3). Factor -t**3 + 2*t**3 + 4*t**2 - j*t - 3*t**3.
-2*t*(t - 1)**2
Factor 1/5*f**2 + f + 4/5.
(f + 1)*(f + 4)/5
Suppose -4/7*h + 2/7 + 2/7*h**2 = 0. What is h?
1
Let t = 18 - 16. Let p(v) be the first derivative of 0*v**t + 0*v + 7/2*v**4 + 1 + 4/5*v**5 - 4/3*v**3 - 7/3*v**6. Find k, given that p(k) = 0.
-1, 0, 2/7, 1
Determine b so that b**2 - 15*b**3 - b**4 + 15*b**3 = 0.
-1, 0, 1
Let l(d) be the first derivative of -2/3*d**2 + 7 - 2/9*d**3 + 0*d. Factor l(k).
-2*k*(k + 2)/3
Suppose 5*s = 3*s. Suppose -z = -s*z. Solve -2*q + 4*q - 2*q**3 + z*q**3 - 2*q**4 + 2*q**2 = 0.
-1, 0, 1
Factor 0*g - 3/5*g**3 + 3/5*g**2 - 3/5*g**4 + 0 + 3/5*g**5.
3*g**2*(g - 1)**2*(g + 1)/5
Let u(k) be the first derivative of -4*k**3/15 - 2*k**2/5 + 8*k/5 - 5. Factor u(j).
-4*(j - 1)*(j + 2)/5
Let w(x) = 2*x + 28. Let s be w(-13). Factor 0 + 1/2*j**3 - j**s + 0*j.
j**2*(j - 2)/2
Factor 5*s**4 + 0*s**4 + 4*s**3 + 8*s**3 - 4*s**5 - 16*s - 16*s**2 + 3*s**4.
-4*s*(s - 2)**2*(s + 1)**2
Let b(i) be the second derivative of i**6/30 - 3*i**5/20 + i**4/6 + 3*i + 6. Factor b(z).
z**2*(z - 2)*(z - 1)
Let l(r) be the first derivative of 0*r + 0*r**3 - 1/7*r**2 + 1/7*r**4 - 1/21*r**6 - 2 + 0*r**5. Find s, given that l(s) = 0.
-1, 0, 1
Let o(s) be the third derivative of 0*s**5 + 0 + 0*s + 3*s**2 + 0*s**4 + 1/21*s**7 - 1/32*s**8 - 1/60*s**6 + 0*s**3. What is m in o(m) = 0?
0, 2/7, 2/3
Let n(j) = -j**4 - j**3 + j**2 - j - 1. Let r(w) = -2*w**4 + 6*w**3 + 10*w**2 - 22*w - 4. Let m(h) = 4*n(h) - r(h). Factor m(d).
-2*d*(d - 1)*(d + 3)**2
Let n = 86 + -275. Let g = -941/5 - n. Let 6/5*w - 2/5 - g*w**2 = 0. Calculate w.
1/2, 1
Let a = -126419/210 - -602. Let u(o) be the third derivative of -4*o**2 - 1/210*o**5 + 1/735*o**7 + 0 + 0*o**3 + a*o**6 + 0*o - 1/42*o**4. Factor u(z).
2*z*(z - 1)*(z + 1)*(z + 2)/7
Let z(j) be the third derivative of j**7/42 + 29*j**6/360 + 11*j**5/180 - 5*j**4/72 - j**3/9 + 4*j**2. What is p in z(p) = 0?
-1, -1/3, 2/5
Let j = 97 - 94. Find t such that 0*t + 0 + 6/5*t**2 - 3/5*t**j = 0.
0, 2
Determine t so that 12/5*t - 2/5*t**2 - 18/5 = 0.
3
Suppose -11 = 3*g - 4*s, 3*g + 0*g - 3*s + 6 = 0. Factor -2/9*u**2 - 2/9*u**g + 2/9*u + 0 + 2/9*u**4.
2*u*(u - 1)**2*(u + 1)/9
Factor 12*d**3 - d**4 + 0*d**4 - 3*d**4.
-4*d**3*(d - 3)
Let n = 952/5 + -190. Factor 0*t + 1/5*t**4 - 1/5*t**3 - n*t**2 + 0.
t**2*(t - 2)*(t + 1)/5
Let y = 6 + -4. Let d(p) be the second derivative of 0 + 1/3*p**y + 1/3*p**5 + 1/9*p**6 + 5/9*p**3 + 1/63*p**7 + 5/9*p**4 + 2*p. Factor d(i).
2*(i + 1)**5/3
Let p(h) be the third derivative of -h**8/2184 - h**7/1365 - 6*h**2. Factor p(j).
-2*j**4*(j + 1)/13
Let k(a) = 8*a**2 + 2*a + 8. Let y(l) = 3*l**2 + l + 3. Let b(j) = 5*k(j) - 14*y(j). Determine q, given that b(q) = 0.
-1
Let s(f) = -f**2 - 4*f - 4. Let r be s(-3). Let m be (0 + 0)/r - -3. Find l such that l**2 - 3 - l**4 + m = 0.
-1, 0, 1
Suppose 4*g - 31 = 3*o, -2*g - 5*o = -4*o - 3. Let d(w) = 7*w**2 - 5*w + 7. Let z(f) = -3*f**2 + 2*f - 3. Let a(u) = g*d(u) + 9*z(u). Find r such that a(r) = 0.
1
Suppose -2*q = 3*b - 4 - 6, -3*q = -3*b. Determine y so that y**2 - 5*y**2 + y**b + 5*y + y + 9 = 0.
-1, 3
Let q(w) be the second derivative of -w**4 - 17/20*w**5 - 2*w + 0 + 2/3*w**3 + 5/2*w**6 + 0*w**2 - 25/21*w**7. Determine y so that q(y) = 0.
-2/5, 0, 2/5, 1/2, 1
Let s(m) be the second derivative of 0 + 0*m**5 + 1/45*m**6 - 1/126*m**7 - 1/18*m**4 + 1/18*m**3 - 3*m + 0*m**2. Factor s(l).
-l*(l - 1)**3*(l + 1)/3
Let h(w) = 4*w**4 - 10*w**3 - 22*w**2 + 16*w - 6. Let y(z) = -z**3 - z**2 - 1. Let d(s) = h(s) - 6*y(s). Factor d(j).
4*j*(j - 2)*(j - 1)*(j + 2)
Let 2*m**2 + 72 + 10*m**2 + 2*m**4 - 120*m + 2*m**2 + 12*m**2 + 20*m**3 = 0. What is m?
-6, 1
Let q(i) be the second derivative of -1/30*i**5 + 0*i**3 + i + 1/12*i**4 + 0 + 3/2*i**2. Let l(r) be the first derivative of q(r). Determine y so that l(y) = 0.
0, 1
Let n = 94 - 60. Let h = n - 135/4. Let -3/4*w - 1/4*w**3 + h + 3/4*w**2 = 0. Calculate w.
1
Suppose 3*w + 24 = 7*w. Let r(n) = -3*n**3 + 8*n**2 - 7*n - 6. Let s(b) = 5*b**3 - 15*b**2 + 13*b + 11. Let i(x) = w*s(x) + 11*r(x). Factor i(k).
-k*(k + 1)*(3*k - 1)
Let i(r) be the third derivative of 1/24*r**4 + 0*r - 1/60*r**5 - 1/180*r**6 + 5*r**2 + 1/9*r**3 + 0. Factor i(v).
-(v - 1)*(v + 2)*(2*v + 1)/3
Let w(c) be the first derivative of c**3/12 - c/4 + 6. Factor w(a).
(a - 1)*(a + 1)/4
Let o be (1/(-5))/(15/(-925)). Let s = 13 - o. Suppose -s + 0*z + 2/3*z**2 = 0. Calculate z.
-1, 1
Let m(b) be the second derivative of -b**4/30 - 2*b**3/5 - 9*b**2/5 - 26*b. Factor m(x).
-2*(x + 3)**2/5
Suppose x = -3*y + 10, -3*y + x = 4*x - 12. Suppose -1 = y*d + 11, -20 = q + 5*d. Factor q*u - 1/3*u**3 + u**2 - 4/3.
-(u - 2)**2*(u + 1)/3
Let a(i) be the third derivative of 1/10*i**5 + 0 - 1/8*i**4 + 0*i**3 - 5*i**2 - 1/40*i**6 + 0*i. Let a(g) = 0. What is g?
0, 1
Suppose 2*d + 2 = 3*d. Suppose 3*t = -2*k - 8, t + 16 = d*k - 2*t. Suppose 2*a**3 + 0*a**k + 0*a**2 = 0. What is a?
0
Let y(q) be the third derivative of q**7/280 + q**6/480 - q**5/80 - q**4/96 + q**2. Solve y(h) = 0 for h.
-1, -1/3, 0, 1
Factor -12/17*x - 2/17*x**2 + 0.
-2*x*(x + 6)/17
Let h(t) = 14*t**3 - t**2 - t + 2. Let s be h(-2). Let z be s/(-96) - 2/4. Solve 8/9 - 2/9*v**4 - 8/9*v**3 - z*v**2 + 8/9*v = 0 for v.
-2, -1, 1
Let z be 1/(-1)*6/1. Let t(l) = 4*l**2 - 12*l + 2. Let g(w) = w**3 + 12*w**2 - 35*w + 5. Let h(f) = z*g(f) + 17*t(f). Find d such that h(d) = 0.
-1, -2/3, 1
Let g = 30 - 0. Let n = 96 - g. Factor 44/3*o - 4/3 + n*o**3 - 157/3*o**2 - 27*o**4.
-(o - 1)**2*(9*o - 2)**2/3
Let r(d) = -5*d**2 + 10*d - 2. Let n(v) = 5*v**2 - 10*v + 3. Let i(u) = -3*n(u) - 2*r(u). Find o such that i(o) = 0.
1
What is o in o**2 + 19*o + o**2 + 450 - 41*o - 38*o = 0?
15
Let k = 36 + -21. Determine v, given that 1 + k*v + 5 + 2*v**3 - v + 10*v**2 = 0.
-3, -1
Suppose 3*o + 2 = 4*o. Suppose -2 = 3*c + 4*s, -3*c + 16 = -4*s + o. Find l such that 0 + 4/5*l**4 + 0*l + c*l**5 - 4/5*l**2 - 2*l**3 = 0.
-1, -2/5, 0, 1
Let g = 10 + -10. Let k(v) be the second derivative of v + g*v**3 - 1/20*v**5 - 1/60*v**6 + 0*v**2 - 1/24*v**4 + 0. Solve k(c) = 0.
-1, 0
Let h(t) be the first derivative of 8/25*t**5 - 7/15*t**3 + 8/15*t**6 - 23/20*t**4 + 7/10*t**2 - 1/5*t - 2. Let h(b) = 0. What is b?
-1, 1/4, 1
Suppose 2*p = -2*b + 2, 3*p - p - 3*b = 2. Suppose -p - 1 = -i. Suppose -4*t**3 + 6*t**3 + 2*t + 8*t**2 + 4*t + 2 - 2*t**i = 0. Calculate t.
-1
Factor 65*n**2 + 60*n**2 - 128*n**2 - 3*n.
-3*n*(n + 1)
Let n(l) = -l**5 - 10*l**4 - 10*l**3 + 10*l**2 - 11*l. Let c(o) = o**4 + o**3 - o**2 + o. Let j(x) = 44*c(x) + 4*n(x). Factor j(z).
-4*z**2*(z - 1)**2*(z + 1)
Let n be ((-4)/(-8)*2*0)/1. Factor 3/4*m**2 + n + 3/4*m.
3*m*(m + 