= -24. Suppose i - 30 = -q*a, -a - 5*i + 6 + 0 = 0. Factor 4*k**5 - 12*k**4 + a*k**4 - 4*k + 8*k**2 - 2*k**4.
4*k*(k - 1)**3*(k + 1)
Let r = 117 - 119. Let y(b) = 6*b**3 - 12*b**2 - 5*b. Let o(u) = 3*u**3 - 6*u**2 - 2*u. Let w(v) = r*y(v) + 5*o(v). Determine f so that w(f) = 0.
0, 2
Suppose -3*c - 3 = g - 13, c + g = 4. Let 85*i**c - 25*i - 20 + 47 - 65*i**2 + 3 - 25*i**4 = 0. Calculate i.
-3/5, 1, 2
Let k(m) be the third derivative of m**7/525 - m**5/75 + m**3/15 - 42*m**2. Determine o so that k(o) = 0.
-1, 1
Let v(p) be the third derivative of 3*p**8/280 - 16*p**7/175 + 22*p**6/75 - 32*p**5/75 + 4*p**4/15 - 42*p**2. Suppose v(y) = 0. What is y?
0, 2/3, 2
Let u(f) be the first derivative of f**6/3 - 8*f**5/5 + 20*f**3/3 - f**2 - 12*f + 107. What is l in u(l) = 0?
-1, 1, 2, 3
Let k(l) = l**4 - l - 1. Let o(z) = 6*z**3 - 4*z**2 - 2*z - 2. Suppose 2 = -8*c + 7*c. Let r(i) = c*o(i) + 4*k(i). Find x, given that r(x) = 0.
0, 1, 2
Let z(r) be the third derivative of -r**6/180 - r**5/30 + r**4/4 - 4*r**3/3 + 13*r**2. Let g(a) be the first derivative of z(a). Find q such that g(q) = 0.
-3, 1
Let r(o) be the third derivative of -o**9/68040 - o**8/15120 - o**7/11340 - 7*o**4/24 + 12*o**2. Let k(z) be the second derivative of r(z). Factor k(s).
-2*s**2*(s + 1)**2/9
Let i(t) be the second derivative of -t**7/840 + t**6/120 - t**5/60 - 35*t**3/6 - 31*t. Let p(j) be the second derivative of i(j). Suppose p(c) = 0. What is c?
0, 1, 2
Suppose -5*d - 2*t - 215 = 245, 5*d + 5*t = -445. Let o = -278/3 - d. Determine j so that 8/3*j**3 + o + 6*j + 8*j**2 = 0.
-2, -1/2
Let c(b) be the first derivative of -b**8/1344 + b**7/420 + b**6/160 - b**5/60 - b**4/24 + b**2 - 1. Let y(s) be the second derivative of c(s). Factor y(z).
-z*(z - 2)**2*(z + 1)**2/4
Suppose 2*n + 3*s - 3 = 6*n, 2*n + 5 = 5*s. Let m(f) be the first derivative of n*f**2 + 8/15*f - 4 - 2/45*f**3. Find d such that m(d) = 0.
-2, 2
Suppose 0 = -40*g + 41*g - 2. Suppose -15 = 3*j, 2*y - 3*y + 17 = -3*j. Factor 4 - g - 2*n**4 - 2*n**3 - y.
-2*n**3*(n + 1)
Let b(x) be the first derivative of -8/39*x**3 + 7 - 10/13*x**4 + 0*x**2 - 42/65*x**5 + 0*x. Factor b(s).
-2*s**2*(3*s + 2)*(7*s + 2)/13
Let l(k) be the first derivative of k**4 + 0*k**3 + 0*k**5 - 30 + 0*k**2 + 0*k - 1/6*k**6. Factor l(h).
-h**3*(h - 2)*(h + 2)
Suppose 0 - 8/3*a**2 + 0*a - 6*a**4 - 8*a**3 = 0. Calculate a.
-2/3, 0
Let -21*f**3 + 26*f**3 - 25*f + 5*f**4 - 28*f**3 - 12*f**3 + 55*f**2 = 0. What is f?
0, 1, 5
Let z(u) be the first derivative of -u**6/15 + 26*u**5/25 - 19*u**4/10 - 74*u**3/15 + 8*u**2 + 88*u/5 - 221. Solve z(o) = 0 for o.
-1, 2, 11
Suppose -h + 2 = 5*b - 4*b, 5*b + 3*h = 10. Suppose b*y - 5*y = -15. Factor -s + 18*s**3 + 2*s + 4*s**4 + 2*s + 8*s**4 + 12*s**2 + 3*s**y.
3*s*(s + 1)**4
Factor -6*r**2 - 8*r**2 + 5 + 8*r**2 + r**2.
-5*(r - 1)*(r + 1)
Let j(l) = 2*l**4 - 6*l**3 + 18*l**2 + 70*l - 72. Let x(u) = -u**4 - 2*u**2 - 1. Let h(k) = -2*j(k) - 6*x(k). Let h(w) = 0. What is w?
-5, 1, 3
Let j(p) be the third derivative of -p**6/600 - p**5/30 - 63*p**2 - 1. Determine u, given that j(u) = 0.
-10, 0
Let v(w) be the second derivative of w**6/60 - 7*w**5/10 + 9*w**4/8 - 17*w. Factor v(k).
k**2*(k - 27)*(k - 1)/2
Suppose 2*v = 14*v + 420. Let a be 3/((2 - 0)/((-10)/v)). Factor -a*s**3 + 0 + 3/7*s**2 + 6/7*s.
-3*s*(s - 2)*(s + 1)/7
Let b(n) be the third derivative of n**5/20 - 3*n**4/4 - 36*n**3 + 3*n**2 - 48*n. Find c, given that b(c) = 0.
-6, 12
Let g be (35/(-10) - -3)*0. Let a(w) be the first derivative of g*w + 3/2*w**2 - 4/3*w**3 - 7 + 1/4*w**4. Determine c so that a(c) = 0.
0, 1, 3
Let w be (-8)/6*(-6)/4. Let p = 1 + w. Let -18 - 3*y - p*y - y**2 + 11*y**2 - 2*y**3 = 0. Calculate y.
-1, 3
Let x be (-130)/260*(-36)/15. Factor -1/5*r + x - 1/5*r**2.
-(r - 2)*(r + 3)/5
Suppose 17 = 8*d - 15. Suppose -14 = -5*a + 2*s, -5*s + 3*s = d. Factor -4/5*v**a - 2/5 - 1/5*v**3 - v.
-(v + 1)**2*(v + 2)/5
Let u = -2896 - -2898. Factor 3/4*o**u + 15/4 - 9/2*o.
3*(o - 5)*(o - 1)/4
Factor 18*f + 37/2 - 1/2*f**2.
-(f - 37)*(f + 1)/2
Let n(z) = -z + 7. Let a be n(2). Let 3*s**3 + 6*s**2 - 6*s + 2*s - a*s + 0*s = 0. What is s?
-3, 0, 1
Let 17/3 + 16/3*a - 1/3*a**2 = 0. Calculate a.
-1, 17
Let a(t) be the third derivative of t**5/105 - 11*t**4/42 + 20*t**3/21 - 84*t**2. Factor a(o).
4*(o - 10)*(o - 1)/7
Let 1/7*b**4 - 2/7*b**3 - 12/7 - 4*b - 19/7*b**2 = 0. Calculate b.
-2, -1, 6
Let j(c) be the first derivative of 14 - 4/5*c + 2/45*c**3 - 1/15*c**2. What is o in j(o) = 0?
-2, 3
Suppose 5*p - 40 = 0, 10*d + 4*p = 6*d + 48. Factor 0 + 0*b - 18/5*b**2 + 6*b**3 + 2/5*b**5 - 14/5*b**d.
2*b**2*(b - 3)**2*(b - 1)/5
Let k(i) = i**2 - i - 6. Let a be 39/15 + 12/30. Let m be k(a). Determine w so that 0*w + m + 1/7*w**2 + 3/7*w**3 + 2/7*w**4 = 0.
-1, -1/2, 0
Let g(m) be the third derivative of -1/10*m**5 + 3/70*m**7 + 0*m + 20*m**2 - 1/20*m**6 + 0 - 1/112*m**8 + 3/8*m**4 - 1/2*m**3. Let g(r) = 0. Calculate r.
-1, 1
Find c, given that 3*c**2 - 8*c + 2*c - 150*c**2 + 183 - 183 = 0.
-2/49, 0
Let k(s) = -15*s**2 + 9*s + 15. Let v(m) = -2*m - 21. Let u be v(-6). Let w(i) = 7*i**2 - 4*i - 8. Let q(c) = u*w(c) - 4*k(c). Suppose q(f) = 0. What is f?
-2, 2
Let x(q) be the first derivative of 4*q**5/5 + 2*q**4 - 16*q**3/3 - 16*q**2 - 166. Factor x(u).
4*u*(u - 2)*(u + 2)**2
Let w(q) be the first derivative of 0*q + 0*q**3 - 1 - 1/2*q**4 + 4/7*q**2 - 6/35*q**5. Let w(y) = 0. What is y?
-2, -1, 0, 2/3
Let d = -151 - -156. Factor -65*y**2 - 21*y**4 + 8*y**4 + 20*y - 22*y**4 + d*y**5 + 75*y**3.
5*y*(y - 4)*(y - 1)**3
Let f(s) = 9*s**3 + s**2 - 104*s - 106. Let z(r) = -r**3 - r**2 + 2. Let k(o) = -f(o) - 5*z(o). Factor k(g).
-4*(g - 6)*(g + 1)*(g + 4)
Find z such that 16 - 46 - 36*z**2 - 42*z + 102*z**3 + 9*z**5 - 34*z**4 + 100*z**4 - 69*z = 0.
-5, -2, -1, -1/3, 1
Let n(r) = -99*r**3 + 46*r**2 + 18*r - 5. Let c(j) = 49*j**3 - 24*j**2 - 10*j + 3. Let m(t) = 5*c(t) + 3*n(t). Determine d, given that m(d) = 0.
-2/13, 0, 1/2
Let v(o) be the second derivative of o**6/330 + 7*o**5/220 + 3*o**4/22 + 10*o**3/33 + 4*o**2/11 + 151*o. Factor v(j).
(j + 1)*(j + 2)**3/11
Let j(n) be the third derivative of -5/21*n**3 + 0*n + 1/70*n**6 + 2/105*n**5 + 0 - 42*n**2 - 1/14*n**4 + 1/735*n**7. Suppose j(r) = 0. Calculate r.
-5, -1, 1
Let y(p) be the first derivative of p**2/2 - 2*p - 21. Let k be y(4). Factor 0*s - 12/5*s**3 - 3/5*s**4 + 0 - 12/5*s**k.
-3*s**2*(s + 2)**2/5
Let l(d) be the first derivative of -d**5/20 + 17*d**4/4 - 289*d**3/2 - d**2/2 + 7*d - 7. Let y(a) be the second derivative of l(a). Factor y(w).
-3*(w - 17)**2
Factor 56*s**5 + 9 - 27*s + 48*s**5 + 26*s**2 - 103*s**5 - 6*s**3 - 3*s**4.
(s - 3)*(s - 1)**3*(s + 3)
Let u = -423 + 1270/3. Let b(r) be the second derivative of -r - 1/3*r**2 + 0 - 1/6*r**4 - 1/30*r**5 - u*r**3. Find p, given that b(p) = 0.
-1
Let g = -1212 - -3637/3. Solve 1/3*c**4 - 2/3*c**2 + 2/9*c**3 - 1/9*c**5 - 1/9*c + g = 0.
-1, 1, 3
Let s(k) be the third derivative of -2*k**7/105 + 4*k**6/15 + 3*k**5/5 + 17*k**2. Factor s(t).
-4*t**2*(t - 9)*(t + 1)
Factor 5*r**2 - 28*r - 19*r + 78*r - 26*r - 60.
5*(r - 3)*(r + 4)
Let t(u) be the first derivative of -5*u**3/3 + 35*u**2/2 + 625. Solve t(i) = 0.
0, 7
Suppose 3*q - 21 = 4*y, 0*y = -5*q + 3*y + 24. Let z(r) = 4*r - 13. Let u be z(4). Suppose -12 + 12*g**2 + q*g**u - 3*g + 10 - 10 = 0. Calculate g.
-4, -1, 1
Let n(b) = -10*b**3 + 7 + 0 + 20*b**2 - 5*b**4 - 17. Let o(q) = 5*q**4 + 9*q**3 - 19*q**2 - q + 10. Let i(r) = 4*n(r) + 5*o(r). Factor i(f).
5*(f - 1)**2*(f + 1)*(f + 2)
Suppose 0 = 61*g + 2257 - 2379. Factor 3 - 27/2*s + 15*s**g - 9/2*s**3.
-3*(s - 2)*(s - 1)*(3*s - 1)/2
Let t(o) = -3*o**3 - 3*o**2 + o + 2. Let b be t(-1). Let f be (-15)/(-156) - ((-15)/13 + b). Factor 1/2*w - 1/2*w**3 - f + 0*w**2 + 1/4*w**4.
(w - 1)**3*(w + 1)/4
Suppose 2*p = 5*p - 15. Suppose 2*x = -3*s + 21 - 0, s - 20 = -p*x. Determine j, given that 0*j**4 + 1 + 4*j**x - 2*j**5 + 2*j**4 - 1 = 0.
-1, 0, 2
Let h(q) be the first derivative of -3 - 4/5*q**2 - 2/15*q**3 - 8/5*q. Factor h(m).
-2*(m + 2)**2/5
Let s(q) be the second derivative of q**4/48 - q**3/48 + 96*q. Factor s(b).
b*(2*b - 1)/8
Suppose 8*o + 30 = 14*o. Let k(l) be the first derivative of 4/27*l**3 + 0*l + 0*l**2 - o + 1/18*l**4. Solve k(m) = 0.
-2, 0
Let b = -106 + 10