26*s - 30*s + 5*s**2.
5*s*(s + 1)
Let a(i) be the second derivative of i**7/12 - 3*i**6/20 - 13*i**5/20 + 3*i**4/2 - 2*i**3/3 - 32*i. Suppose a(y) = 0. Calculate y.
-2, 0, 2/7, 1, 2
Let y(l) be the second derivative of l**6/30 - l**5/60 - l**4/4 - l**3/6 + l**2/3 + 2*l. Solve y(n) = 0.
-1, 1/3, 2
Suppose -3*g + 4*a = 5, 7*a = 4*g + 3*a. Let y(d) be the third derivative of -2/21*d**3 + 1/42*d**g - 3*d**2 + 1/28*d**4 + 0*d + 0. Factor y(s).
2*(s + 1)*(5*s - 2)/7
Let g(o) be the third derivative of -o**9/241920 + o**7/20160 + o**5/10 - o**2. Let r(j) be the third derivative of g(j). Factor r(z).
-z*(z - 1)*(z + 1)/4
Let q be (-39)/(-52)*1/6. Let d(c) be the first derivative of 1 + 0*c - 1/10*c**5 - 1/12*c**6 + 0*c**2 + q*c**4 + 1/6*c**3. What is k in d(k) = 0?
-1, 0, 1
Let x(m) = -5*m**2 - 2*m - 5. Let t(y) = 6*y**2 + 3*y + 6. Suppose 3*s + 5*k - 22 = 0, 5*k = -2*s + 6*s - 6. Let i(l) = s*t(l) + 5*x(l). Solve i(g) = 0 for g.
1
Let g(t) = t**3 - 7*t**2 + 7*t - 3. Let z be g(6). Suppose -5 = -r + w, 2*r - 5*w - 7 = 12. Let -r*a - 2*a + z*a**2 - 4 - 4*a**2 = 0. What is a?
-2
Let -5/2*f**5 + 0*f + 10/3*f**2 + 0 - 20/3*f**3 - 55/6*f**4 = 0. Calculate f.
-2, 0, 1/3
Let c(r) = 3*r**3 - 2*r**2 + r - 2. Let x(u) = 13*u**3 - 9*u**2 + 5*u - 9. Let q(n) = -18*c(n) + 4*x(n). Determine j, given that q(j) = 0.
-1, 0, 1
Let p(a) = a**2 - a - 4. Let d be p(4). Let s = -6 + d. Solve 2/7*q**s - 2/7*q**5 + 2/7*q**3 + 0 + 0*q - 2/7*q**4 = 0 for q.
-1, 0, 1
Let t(n) = -2*n**4 - 6*n**3 + 3*n**2 - 7*n + 7. Let x(q) = -q**4 - 3*q**3 + 2*q**2 - 4*q + 4. Let g(w) = 4*t(w) - 7*x(w). Factor g(s).
-s**2*(s + 1)*(s + 2)
Let t = 214 + -427/2. Determine c so that -1/4 + t*c + 3*c**4 + 7/4*c**2 - 5*c**3 = 0.
-1/3, 1/2, 1
Let q(w) be the third derivative of 0*w - 1/2*w**3 - 9/4*w**4 - 27/5*w**6 + 0 + 4*w**2 - 27/5*w**5. Find m such that q(m) = 0.
-1/6
Let q(k) be the first derivative of 6*k**5/5 - 3*k**4/4 - 1. Determine d, given that q(d) = 0.
0, 1/2
Let a = 4 - 2. Let n be 3 + -2 - (-1)/1. Solve -2*t - a*t**n - 1 + 5*t**2 - 4*t**2 = 0 for t.
-1
Let u = 15 + -34. Let w be (1 + -1)/(u + 20). Factor w*n - 1/4*n**4 + 0 - 1/4*n**2 + 1/2*n**3.
-n**2*(n - 1)**2/4
Factor -j**5 - 70*j**3 - 14*j**4 - 96 - 78*j**3 - 208*j - 176*j**2 + 76*j**3.
-(j + 2)**4*(j + 6)
Determine p, given that -60*p**3 - 35*p**4 - 28 + 28 + 10*p - 15*p**2 = 0.
-1, 0, 2/7
Factor 16*j**3 + 9*j**3 - 9*j + 35*j**2 + 19*j.
5*j*(j + 1)*(5*j + 2)
Let p(v) = -2*v**5 - 3*v**4 + 4*v**3 + v. Let f(m) = 10*m**5 + 14*m**4 - 20*m**3 - 4*m. Let u(i) = -3*f(i) - 14*p(i). Factor u(c).
-2*c*(c - 1)**2*(c + 1)**2
Suppose -60 = -9*g - 6*g. Suppose 0*v + 2/3*v**2 + 0 - 4/3*v**3 - 2*v**g = 0. Calculate v.
-1, 0, 1/3
Let r(z) = 15*z - 2*z + 4*z**2 - 5*z**2 + 4. Let p be 42/8 - (-3)/(-12). Let n(a) = 2*a**2 - 32*a - 10. Let c(m) = p*n(m) + 12*r(m). Let c(i) = 0. What is i?
-1
Let h(l) = 8*l**3 + 2*l**2 + 6*l - 6. Let r(g) = 9*g**3 + 2*g**2 + 7*g - 7. Suppose -2*z + 6*z = -28. Let j(p) = z*h(p) + 6*r(p). Factor j(q).
-2*q**2*(q + 1)
Factor 9 + 22*t - t**3 - 19*t + 14*t + 7*t**2.
-(t - 9)*(t + 1)**2
Let n(j) be the first derivative of -4*j + 0*j**3 - 8 - 1/2*j**4 + 3*j**2. Determine t so that n(t) = 0.
-2, 1
Let g = -1/58 + 63/290. Let f(t) be the second derivative of 0 - 1/63*t**7 + 0*t**2 - 2/9*t**4 - g*t**5 - 1/9*t**3 - 4/45*t**6 + 2*t. Find q such that f(q) = 0.
-1, 0
Factor 30*o + 18*o**3 - 8*o**2 + 5*o**4 + 4*o**4 + 9 + 44*o**2 - 6*o**4.
3*(o + 1)**3*(o + 3)
Suppose 2*r = c + 7, 8 = 3*r + c - 0*c. Factor 1/2 - 1/2*q**2 - 1/2*q + 1/2*q**r.
(q - 1)**2*(q + 1)/2
Let n(a) be the third derivative of -a**8/20160 - a**7/5040 - a**5/60 + 2*a**2. Let f(x) be the third derivative of n(x). Suppose f(j) = 0. Calculate j.
-1, 0
Let p(m) be the first derivative of m**5/30 + 5*m**4/12 + 11*m**3/6 + 10*m**2/3 + 8*m/3 + 5. Factor p(b).
(b + 1)**2*(b + 4)**2/6
Let r(h) be the first derivative of 1/3*h**3 - 3 + 0*h - 1/2*h**6 - 1/4*h**4 - h**5 + 0*h**2. Factor r(x).
-x**2*(x + 1)**2*(3*x - 1)
Suppose -128/13 - 2/13*a**3 - 96/13*a - 24/13*a**2 = 0. What is a?
-4
Suppose 2*v + 4*o - 22 = 0, -o - 1 = -5. Let c be (-22)/((2*-3)/v). Factor -w + 3*w**3 + 8*w**2 + 0*w**3 - w**3 + c*w + 4.
2*(w + 1)**2*(w + 2)
Suppose -3*g = 4*j + 11, 2*j - 3*g = -5*g - 8. Let k be 15/9 - (j - 1). Determine d so that -d**4 + 0 - 2/3*d + 7/3*d**3 + d**2 - k*d**5 = 0.
-1, 0, 2/5, 1
Let s = 132 + -128. Factor -64/11 + 560/11*a**3 + 196*a**s + 686/11*a**5 - 1696/11*a**2 + 608/11*a.
2*(a + 2)**2*(7*a - 2)**3/11
Let v be 5/(-15) + 1 - 0/(-5). Factor v + 1/3*z**2 + z.
(z + 1)*(z + 2)/3
Let k be (8/14)/((-28)/(-98)). Suppose 2/3 + 4/3*p + 2/3*p**k = 0. Calculate p.
-1
Let f(m) be the first derivative of -1/3*m**3 + 0*m - 1 + 1/2*m**2. Find c, given that f(c) = 0.
0, 1
Suppose 0 = 6*y - 3*y + 147. Let i be (7/y)/((-1)/2). Factor 0*o + 0*o**2 + 0 + i*o**3 - 2/7*o**4.
-2*o**3*(o - 1)/7
Let o be 12*(6/(-8))/(-1). Let k = -5 + o. Factor 0*j + 6*j**2 - 26*j**2 + 2*j - k*j - 50*j**3.
-2*j*(5*j + 1)**2
Solve -8*s - s**3 - 3*s**2 - 3*s**2 + 5*s**2 + 14*s = 0.
-3, 0, 2
Let r(f) be the third derivative of -1/108*f**4 - 1/540*f**6 + 1/135*f**5 + 0*f + 0 + 0*f**3 + 4*f**2. Find d such that r(d) = 0.
0, 1
Find q, given that -q**2 - 6 + 3 + 4*q**2 = 0.
-1, 1
Let v = -27 + 11. Let y be (-36)/v + (-2)/8. Factor 0*q**y + 0*q + 2/11*q**3 + 0 + 2/11*q**4.
2*q**3*(q + 1)/11
Determine c, given that 4/5 - 2/5*c**2 + 2/5*c = 0.
-1, 2
Let y(b) = b**2. Let a(c) = 7*c**2 - c + 1. Let s be a(1). Let j = s + -2. Let p(i) = -2*i**3 + 7*i**2. Let f(d) = j*y(d) - p(d). Solve f(t) = 0.
0, 1
Factor 46*z - 1131*z**2 + 1135*z**2 + 183 + 10*z + 13.
4*(z + 7)**2
Solve 1 - 1 - j**2 + 4*j + 3*j**2 - 6 = 0.
-3, 1
Let k(c) be the third derivative of -c**8/84 + 4*c**7/105 - 2*c**5/15 + c**4/6 + 2*c**2. Find f, given that k(f) = 0.
-1, 0, 1
Let m be (4 - 5)*(-3)/1. Factor b**3 - 2*b**5 + b**2 - b**4 + b**5 + 0*b**m.
-b**2*(b - 1)*(b + 1)**2
Let w(x) = 10*x + 74. Let n be w(-7). Let y(b) be the first derivative of -6*b**2 - 3/2*b**4 - 13/3*b**3 + n - 1/5*b**5 - 4*b. Let y(k) = 0. Calculate k.
-2, -1
Suppose -4*p + 6 = -6. Factor -z**2 - 17*z**3 - 2*z + 2*z + 18*z**p.
z**2*(z - 1)
Let r(p) be the second derivative of -p**7/315 + 4*p**6/225 - p**5/50 + p. Suppose r(z) = 0. Calculate z.
0, 1, 3
Let c(s) be the second derivative of 0 - s**2 + 0*s**3 - 2*s + 1/6*s**4. Factor c(j).
2*(j - 1)*(j + 1)
Suppose 2*t - 2*k + 6 = 3*k, -t + 8 = 3*k. Factor -2/9*w**3 + 2/9*w**t + 0 + 2/9*w - 2/9*w**4.
-2*w*(w - 1)*(w + 1)**2/9
Suppose -3*l - 1 = -2*l. Let z = 3 + l. Factor -f**5 + 0*f + f + 0*f**5 - 2*f**4 + 2*f**z.
-f*(f - 1)*(f + 1)**3
Let c(w) be the first derivative of w**3/15 + 7*w**2/10 + 6*w/5 + 18. Factor c(q).
(q + 1)*(q + 6)/5
Let r = 33/28 + -3/7. Find h, given that -3/4*h - r*h**4 + 3/4*h**2 + 3/4*h**3 + 0 = 0.
-1, 0, 1
Let l = -509 - -512. Determine p, given that -5/3*p**2 + 1/3*p**l + 8/3*p - 4/3 = 0.
1, 2
Suppose -2*f + 20 = -f. Suppose 0 = 4*i - f, 0*x + 29 = x + 5*i. Factor -1/2*m**2 + 0*m + 0 - 1/2*m**x - m**3.
-m**2*(m + 1)**2/2
Factor 10*a - 3*a**3 + 51 - 46 - 7*a**3 - 5*a**4.
-5*(a - 1)*(a + 1)**3
Let g(w) be the first derivative of -4/13*w + 2/39*w**3 + 4 + 1/13*w**2. Find s such that g(s) = 0.
-2, 1
Let u(q) be the second derivative of 2*q**7/315 + q**6/225 - 12*q. Factor u(x).
2*x**4*(2*x + 1)/15
Let f(j) = -j**3 - 9*j**2 + 2. Let c be 1*((-2 - 0) + -7). Let d be f(c). Factor 1 - w + 1/4*w**d.
(w - 2)**2/4
Factor 0 + 1/3*k**2 + 0*k + 2/3*k**4 + k**3.
k**2*(k + 1)*(2*k + 1)/3
Let p(k) = k. Let q be p(1). Let h = q - -1. Factor 5*w - w**h + w**3 - 5*w.
w**2*(w - 1)
Suppose g - 5*g - 1 = -3*x, 4*g = -5*x + 23. Suppose 2*w - g = 2. Suppose -2 - 10*s**w + 1 - s**5 - 4*s**3 - 5*s - 6*s**3 - 5*s**4 = 0. What is s?
-1
Let s be (48/60)/(4/10). Let b(h) be the third derivative of -2*h**s + 0 - 1/36*h**4 + 0*h + 1/90*h**5 - 2/9*h**3. Factor b(c).
2*(c - 2)*(c + 1)/3
Let q(f) be the third derivative of 9*f**8/448 - 3*f**7/70 - f**6/32 + 3*f**5/20 - f**4/8 + 9*f**2. Find y such that q(y) = 0.
-1, 0, 2/3, 1
Let i = -1/1365 - -41/2730. Let l(b) be the second derivative of 0*b**4 + i*b**5 + 0 + b + 0*b**2 - 1/21*b**3. Factor l(y).
2*y*(y - 1)*(y + 1)/7
What is k in 0 + 0*k**3 + 0*k + 0*k**2 + 1/2*k**4 + 1/2*k**5 = 0?
-1, 0
Factor