**3 - 5 - 25/3*v**n.
5*(v - 3)*(v + 1)*(3*v + 1)/3
Suppose -7*b + 2*b + 1 = 3*p, 5*p = 5*b + 15. Let c be p/6 - (-6 - 30/(-9)). Factor 2/5*x + 0 - 2/5*x**4 - 7/5*x**2 + 7/5*x**c.
-x*(x - 2)*(x - 1)*(2*x - 1)/5
Let y(g) be the first derivative of 15 + 0*g - 3/5*g**2 + 3/10*g**4 + 21/25*g**5 - 7/5*g**3. Solve y(k) = 0.
-1, -2/7, 0, 1
Let b(c) be the first derivative of -c**4/18 - 112*c**3/27 + 176. Factor b(r).
-2*r**2*(r + 56)/9
Let b(u) be the second derivative of -1/66*u**4 - 10*u + 1/55*u**5 + 1/11*u**2 - 2/33*u**3 + 0. Suppose b(z) = 0. What is z?
-1, 1/2, 1
Let g be (90/12)/(2*15/12). Suppose -40/3*b**g + 44/3*b + 8*b**4 - 8 - 4/3*b**5 + 0*b**2 = 0. Calculate b.
-1, 1, 2, 3
Let a be -526*((-3)/(-6) - 1). Let k = 1319/5 - a. Determine p so that 4/5*p + 0 + k*p**2 = 0.
-1, 0
Suppose n + o = 15, 3*n + n + 5*o - 57 = 0. Let w be (6/n)/(25/15). Let -w*y**3 - 9/5*y + 0 - 6/5*y**2 = 0. What is y?
-3, 0
Let c(a) be the first derivative of -a**4/16 - 11*a**3/12 - 54. Factor c(o).
-o**2*(o + 11)/4
Let k be 545/7 - (-23)/161. Factor 78*h**2 - k*h**2 + 2*h**4.
2*h**4
Let d be 105/3 + (-4)/(-12)*3. What is j in -123*j**3 + d*j + 102*j**4 + 63*j**3 + 27*j**5 - 168*j**2 + 63*j**3 = 0?
-3, -2, 0, 2/9, 1
Let c**2 + 144 - 124*c + 66*c + 28*c = 0. What is c?
6, 24
Let d be 0/(-5) - (1 - -17 - 24). Determine s so that 1/3*s**2 + d*s + 27 = 0.
-9
Let j(t) = -2*t**3 + 3*t**2 + 2*t + 2. Let s be j(2). Let z(b) be the first derivative of 1/2*b**4 + 5 - s*b + 3*b**2 - 2*b**3. Solve z(w) = 0 for w.
1
Let g(k) = -11*k**4 - 37*k**3 - 46*k**2. Let f(i) = -5*i**4 - 19*i**3 - 22*i**2. Let b(a) = 5*f(a) - 2*g(a). Suppose b(u) = 0. What is u?
-6, -1, 0
Let k(w) be the second derivative of w**4 + 20*w**3/3 + 14*w**2 + 91*w. Factor k(n).
4*(n + 1)*(3*n + 7)
Let b(l) be the second derivative of 7/4*l**5 - 5*l**2 + 0 - l - 20/3*l**4 + 55/6*l**3. Determine v, given that b(v) = 0.
2/7, 1
Let q(m) be the third derivative of -m**6/60 - 53*m**5/120 - 77*m**4/24 + 49*m**3/4 + 21*m**2 + 5. Factor q(b).
-(b + 7)**2*(4*b - 3)/2
Let c(i) be the first derivative of -i**4/96 + i**2/16 + 29*i + 16. Let m(l) be the first derivative of c(l). Factor m(t).
-(t - 1)*(t + 1)/8
Let b(u) = -u**3 + 36*u**2 - 69*u + 3. Let f(x) = 3*x**3 - 72*x**2 + 139*x - 5. Let r(t) = -5*b(t) - 3*f(t). Let r(c) = 0. Calculate c.
0, 3, 6
Let s be (-10)/3 + 32/(3 + 5). Factor s*m**2 + 2/3 + 4/3*m.
2*(m + 1)**2/3
Suppose -4*v - 19 + 23 = 0. Let j be v + (-1)/1 + 18/8. Factor -3/2*n**2 + j*n**3 + 0 + 0*n - 3/4*n**4.
-3*n**2*(n - 2)*(n - 1)/4
Let b(p) be the first derivative of -p**4 + 0*p - 8/5*p**5 + 2/3*p**6 + 15 + 8/3*p**3 + 0*p**2. Factor b(y).
4*y**2*(y - 2)*(y - 1)*(y + 1)
Let w(j) be the first derivative of -5*j**3/21 + 3*j**2/14 + 8*j/7 - 348. Suppose w(m) = 0. Calculate m.
-1, 8/5
Find w such that 2/3 - 2/9*w**3 - 14/9*w + 10/9*w**2 = 0.
1, 3
Let w be (4 - 4)*2/4. Suppose w = -d + 2*i + 7, 0 = -3*d + 2*d - 2*i + 15. Factor d - 4*h**2 - 20 + 9.
-4*h**2
Let s(t) be the second derivative of t**4/16 + 11*t**3/4 - 3*t - 46. Factor s(l).
3*l*(l + 22)/4
Let k(r) be the third derivative of -r**5/15 + 37*r**4/24 + 17*r**3/3 - 34*r**2. Let g(m) = m**2 - 12*m - 11. Let j(x) = -21*g(x) - 6*k(x). Factor j(q).
3*(q + 1)*(q + 9)
Factor -5*s**2 - 6*s**2 + 3*s**3 + s**3 + 7*s**2 - s**4.
-s**2*(s - 2)**2
Let c(n) = 13*n - 76. Let g be c(6). Let t be ((-18)/75)/(2/(-20)). Let t*l**g + 9/5*l - 3/5 = 0. What is l?
-1, 1/4
Let 3/7*y**4 - 3*y**2 - 18/7 - 3/7*y**3 + 39/7*y = 0. What is y?
-3, 1, 2
Let u(p) be the second derivative of 0*p**4 + 0 + 1/40*p**6 + 16*p - 1/4*p**3 + 3/40*p**5 - 3/8*p**2. Solve u(b) = 0.
-1, 1
Let a(z) be the second derivative of z**6/285 - 6*z**5/95 + 5*z**4/19 - 28*z**3/57 + 9*z**2/19 - z - 2. What is u in a(u) = 0?
1, 9
Let c(l) be the third derivative of -l**7/70 + l**6/5 - 11*l**5/10 + 3*l**4 - 9*l**3/2 - 2*l**2 - 24. Factor c(m).
-3*(m - 3)**2*(m - 1)**2
Suppose 3*p**3 - 240 - 316*p**2 - 307*p + 44*p**2 - 170*p + 38*p**2 = 0. What is p?
-1, 80
Let v(w) be the third derivative of -2/21*w**3 + 0*w + 0 + 3/140*w**6 + w**2 - 1/42*w**5 + 1/105*w**7 - 3/28*w**4. Solve v(z) = 0.
-1, -2/7, 1
Let v = -82 - -86. Factor v + 38*r**2 + 38*r**2 - 78*r**2 + 2*r.
-2*(r - 2)*(r + 1)
Suppose -6*b**2 + 4*b**4 + 28*b**3 + 40 - 40 - 26*b**2 = 0. Calculate b.
-8, 0, 1
Let j(l) be the second derivative of 25*l + 27/8*l**4 - 3*l**2 + 0 - 3/20*l**5 - 9/20*l**6 - 3*l**3. What is k in j(k) = 0?
-2, -2/9, 1
Let c = 17 + -1. Factor 20*b**2 + 21 + 61*b - c*b - 11.
5*(b + 2)*(4*b + 1)
Let r(x) be the third derivative of -x**6/1980 + 7*x**5/165 - 49*x**4/33 + 7*x**3/2 + 33*x**2. Let t(a) be the first derivative of r(a). Factor t(b).
-2*(b - 14)**2/11
Let o = 443/7 - 63. Let h = 2884 + -2884. Factor o*q**2 - 4/7*q + h.
2*q*(q - 2)/7
Let k(a) = 6655*a**3 - 10889*a**2 + 5941*a - 1080. Let j(z) = -z**2 - z. Let f(b) = -j(b) - k(b). Solve f(h) = 0 for h.
6/11
Let m be ((-3)/(-15))/((-2)/(-20)). Suppose y - 4*y**3 + y**3 - y**2 - 2*y**m - y**3 = 0. Calculate y.
-1, 0, 1/4
Let f(n) be the second derivative of 2*n**6/15 + 2*n**5 + 8*n**4 + 44*n**3/3 + 14*n**2 + 3*n - 18. Factor f(z).
4*(z + 1)**3*(z + 7)
Suppose -a = -3*l + 3*a + 22, -a = 4. Suppose -3*o**2 - 5*o**2 - 2*o + 10*o**l = 0. Calculate o.
0, 1
Let w(x) be the first derivative of -x**6/36 + x**5/5 + x**4/8 - 10*x**3/9 + x**2 - 863. Find a such that w(a) = 0.
-2, 0, 1, 6
Solve -29*y**2 - 1/2*y**3 - 390*y + 900 = 0 for y.
-30, 2
Factor 225*w + 60*w**3 + 7*w - 5*w**4 - 98*w - 225*w**2 + 136*w.
-5*w*(w - 6)*(w - 3)**2
Factor 5/2*h**2 - 4*h - 6 + 1/2*h**3.
(h - 2)*(h + 1)*(h + 6)/2
Let n be (9 + -7)/((-4)/(-1146)*-6). Let d = -907/10 - n. Factor 16/5 + 1/5*p**4 - 32/5*p - 8/5*p**3 + d*p**2.
(p - 2)**4/5
Let u = -1 + 6. Let a(y) = 10*y**2 - 10*y + 6. Let j(d) = -9*d**2 + 11*d - 7. Let k(t) = u*a(t) + 6*j(t). Solve k(z) = 0.
1, 3
Let g be ((-186)/(-90) - 2)*(2 - 1). Let l(q) be the third derivative of -7*q**2 + 1/4*q**4 + 0*q + 0 + 0*q**3 - 1/60*q**6 + g*q**5. Factor l(r).
-2*r*(r - 3)*(r + 1)
Let c(l) be the third derivative of -l**8/128 + 13*l**7/280 - 17*l**6/160 + l**5/10 + l**4/64 - l**3/8 - 110*l**2 + 2. Factor c(r).
-3*(r - 1)**4*(7*r + 2)/8
Let u be 367/82*10/130. Let f = u + -3/82. Factor -f*z - 2/13*z**4 + 4/13*z**3 + 2/13 + 0*z**2.
-2*(z - 1)**3*(z + 1)/13
Factor 28/3*v - 28/3*v**3 + 2/3*v**4 - 2/3*v**2 + 0.
2*v*(v - 14)*(v - 1)*(v + 1)/3
Let j(o) = 2*o**4 + 12*o**3 - 26*o**2 - 2*o + 24. Let k(f) = -f**2 + f + 1. Let y(i) = 2*j(i) - 20*k(i). Find s such that y(s) = 0.
-7, -1, 1
Factor -27 - 101 + 188 - 25*r - 35*r**2.
-5*(r - 1)*(7*r + 12)
Let c = 202 + -206. Let i be (0 + 4 + c)/4. Factor 11/2*a**2 - a - 13/2*a**3 + i + 2*a**4.
a*(a - 2)*(a - 1)*(4*a - 1)/2
Suppose 0 = 3*k - 5*d + 1 - 17, 2*k + 5*d = -6. Suppose 54*u**k + 25*u**4 - 120*u**3 + 189*u - 100*u + 81 + 127*u = 0. Calculate u.
-3/5, 3
Let c be -4 - -18*(-21)/(-91). Let j(q) be the first derivative of -2/13*q**2 - c*q**3 - 1/26*q**4 - 4 + 0*q. Factor j(d).
-2*d*(d + 1)*(d + 2)/13
Let f(z) = -5*z**2 - 8*z - 2. Let c(m) = m**2 - 2*m**2 - 15*m - 8*m**2 - 4. Let a(j) = -3*c(j) + 5*f(j). Determine w so that a(w) = 0.
-2, -1/2
Let v be 50/(-15)*2/4*-3. Let x(n) be the third derivative of 1/3*n**4 - 5*n**2 + 0*n + 1/30*n**v + 4/3*n**3 + 0. Factor x(i).
2*(i + 2)**2
Let k = -391 - -2749/7. Factor -k*i**2 - 9/7*i - 2/7 - 4/7*i**3.
-(i + 2)*(2*i + 1)**2/7
Let p(q) be the first derivative of -q**6/16 + 3*q**5/40 + 9*q**4/8 - 7*q**3/2 + 3*q**2 - 50. Find v such that p(v) = 0.
-4, 0, 1, 2
Let p(b) = b**4 + b**2 - 2*b. Let x = 20 + -26. Let y(w) = 7*w**4 + 6*w**2 - 13*w. Let j(a) = x*y(a) + 39*p(a). Factor j(l).
-3*l**2*(l - 1)*(l + 1)
Let r(x) be the third derivative of 0 + 1/30*x**5 + 0*x**4 + 15*x**2 - 4/9*x**3 + 0*x + 1/180*x**6. Determine a so that r(a) = 0.
-2, 1
Let f(m) = -m**3 - m**2 - 3*m - 1. Let o(k) = 5*k**3 + 13*k**2 + 7*k - 7. Let r(v) = 3*f(v) + o(v). What is n in r(n) = 0?
-5, -1, 1
Let j(c) = -2*c**4 + 6*c**3 - 41*c**2 + 37*c - 15. Let y(d) = 2*d**4 - 4*d**3 + 42*d**2 - 38*d + 16. Let g(w) = -6*j(w) - 5*y(w). Factor g(m).
2*(m - 5)*(m - 1)**3
Let o(z) be the second derivative of -z**4/108 + 41*z**3/27 - 1681*z**2/18 + 98*z. Factor o(i).
-(i - 41)**2/9
Let x(f) = -f**4 - 3*f**3 + 6*f**2 + 4*f + 4. Let c(h) =