0 = 0. What is v?
-10, -1
Let i(w) be the second derivative of 2*w**7/105 - 2*w**5/15 + 2*w**3/3 + 9*w**2/2 - 11*w. Let u(k) be the first derivative of i(k). What is p in u(p) = 0?
-1, 1
Let r(y) = -85*y**3 - 86*y**2 + 225*y - 65. Let j(m) = -29*m**3 - 28*m**2 + 75*m - 22. Let l(t) = 11*j(t) - 4*r(t). Factor l(c).
3*(c - 1)*(c + 3)*(7*c - 2)
Let q(o) be the second derivative of -o**4/48 + 5*o**3/12 - 21*o**2/8 + 867*o. Factor q(r).
-(r - 7)*(r - 3)/4
Let r(z) = -z**3 - 8*z**2 - 4*z - 5. Let k be r(-8). Suppose -6*f**3 - 2*f - 8*f**4 + k*f**5 + f - 12*f**2 + 4*f + 44*f**4 = 0. What is f?
-1, 0, 1/3
Let o(f) be the third derivative of -f**8/33600 + f**7/3150 + f**6/3600 - f**5/150 - f**4/8 + 7*f**2. Let y(x) be the second derivative of o(x). Factor y(b).
-(b - 4)*(b - 1)*(b + 1)/5
Let t(g) = -36*g**5 + 6*g**4 + 22*g**3 + 22*g**2 - 22*g. Let x(p) = 5*p**5 - p**4 - 3*p**3 - 3*p**2 + 3*p. Let a(j) = -6*t(j) - 44*x(j). Solve a(n) = 0.
0, 2
Let w(p) be the third derivative of -p**5/15 + 107*p**4/6 + 72*p**3 - p**2 - 9. Factor w(v).
-4*(v - 108)*(v + 1)
Let l(z) = 9*z**3 - 645*z**2 - 669*z. Let i(t) = -t**3 + 92*t**2 + 95*t. Let g(d) = -15*i(d) - 2*l(d). Factor g(o).
-3*o*(o + 1)*(o + 29)
Let c(v) = -v**2 - 5*v - 1. Let f be c(-4). Let d be (3 - (-1 + 3))*f. Let 0*l**3 + 7*l**d - 8*l**3 = 0. What is l?
0
Let p be (-429)/(-26) - 6 - -9. Factor p*v**2 + 3 - 45/2*v.
3*(v - 1)*(13*v - 2)/2
Let l(i) = -1. Let m(s) = -4*s**2 + 40*s - 97. Let g(v) = -3*l(v) - m(v). Factor g(z).
4*(z - 5)**2
Let l(o) be the third derivative of 0 - 1/12*o**5 + 0*o + 5/12*o**4 + 5/2*o**3 + 19*o**2. Factor l(k).
-5*(k - 3)*(k + 1)
Let m be 1/((-26)/(-6) + -4). Let r(n) be the second derivative of n**2 + 0 + 0*n**5 - 2*n + 1/15*n**6 + 0*n**m - 1/3*n**4. Factor r(p).
2*(p - 1)**2*(p + 1)**2
Determine x so that -127*x**3 + 12*x**3 + 5*x**4 + 113*x**3 = 0.
0, 2/5
Let i(v) be the third derivative of v**10/151200 - v**8/20160 - 11*v**5/60 + 16*v**2. Let t(l) be the third derivative of i(l). Suppose t(n) = 0. Calculate n.
-1, 0, 1
Let p(i) be the third derivative of 0 + 0*i + 21*i**2 + 1/40*i**5 - 1/8*i**4 + 0*i**3. Factor p(s).
3*s*(s - 2)/2
Suppose 8*q + 8 = 12*q. Solve 4*m**2 + 20*m + 0*m + 11 + 9 + m**q = 0 for m.
-2
Find n, given that 16/3*n**3 + 28*n**2 - 112/3 + 16/3*n - 4/3*n**4 = 0.
-2, 1, 7
Let f = 632 + -630. Let n(c) be the first derivative of 1/15*c**f - 6 - 2/15*c**3 + 0*c - 2/75*c**5 + 1/10*c**4. Factor n(j).
-2*j*(j - 1)**3/15
Let h(c) = -5*c**3 - 195*c**2 - 2535*c - 10989. Let d(g) = -1. Let s(u) = 4*d(u) - h(u). Determine m, given that s(m) = 0.
-13
Let s be 9/(36/256) + 2. Let q be (-12)/3 - (s/(-9) - 2). Determine x so that 32/3 + 2/3*x**2 + q*x = 0.
-4
Factor -8/3*b**2 + 16/9*b + 4/9*b**4 - 4/9*b**3 + 32/9.
4*(b - 2)**2*(b + 1)*(b + 2)/9
Let k(q) be the second derivative of -q**5/60 + 3*q**4/2 - 54*q**3 + 972*q**2 + 15*q. Factor k(c).
-(c - 18)**3/3
Suppose 3*z = 2*k - 1, -3*k - 3*z - 3 = -12. Factor -5 + 2*a**2 - 12*a + 6*a**k - 3.
4*(a - 2)*(2*a + 1)
Determine q, given that 4*q**5 - 26*q + 144 - 4*q**3 + 14773*q**4 - 116*q**2 - 14753*q**4 - 22*q = 0.
-3, -2, 1, 2
Let t be 2/(-1*(-8)/(-96)*28 + 4). Find n such that -1/5*n**5 + 1/5*n**4 + 2/5*n**2 + t*n**3 - n - 3/5 = 0.
-1, 1, 3
Let c(x) = x - 1. Let i(k) = k**3 - 6*k**2 - 9*k + 9. Let h(u) = 36*c(u) + 4*i(u). Solve h(q) = 0 for q.
0, 6
Let h be 1 + 3 + -6 + (-690)/(-354). Let v = h + 183/118. What is y in 6*y**2 + 3*y**3 - v*y**5 - 3*y**4 - 3 - 3/2*y = 0?
-2, -1, 1
Let m(c) = 10*c**4 - 60*c**3 + 45*c**2 + 55*c. Let s(d) = d**4 - 2*d**3 - d. Let b(p) = m(p) - 15*s(p). Factor b(v).
-5*v*(v - 2)*(v + 1)*(v + 7)
Let v(s) be the first derivative of s**5/15 - 2*s**4/3 + 23*s**3/9 - 14*s**2/3 + 4*s + 102. Factor v(f).
(f - 3)*(f - 2)**2*(f - 1)/3
Let t(y) be the third derivative of -y**8/168 - 2*y**7/21 - 13*y**6/60 + 2*y**5 - 3*y**4 - y**2 + 116. Let t(w) = 0. What is w?
-6, 0, 1
Suppose 0 = -13*q - 7*q + 80. Let d(c) be the first derivative of 6 + c**3 + 3/2*c**q + 3/5*c**5 + 0*c**2 + 0*c. Let d(u) = 0. What is u?
-1, 0
Let q(g) be the first derivative of 2*g**5/35 - 15*g**4/14 + 50*g**3/7 - 125*g**2/7 - 67. Solve q(f) = 0 for f.
0, 5
Let a(n) = 86*n**2 + 28*n + 8. Let c(z) = -174*z**2 - 56*z - 15. Let y(q) = 11*a(q) + 6*c(q). Suppose y(m) = 0. Calculate m.
-1/7
Let g(x) = x + 1. Let a be 10/15 - 32/(-6). Let s(n) = 4*n**4 + 4*n**3 - 16*n**2 - 22*n - 6. Let y(j) = a*g(j) + s(j). Solve y(w) = 0.
-2, -1, 0, 2
Let t(o) be the first derivative of -2*o**5/5 - 15*o**4/2 - 26*o**3 + 55*o**2 - 599. Factor t(d).
-2*d*(d - 1)*(d + 5)*(d + 11)
Let x(j) be the third derivative of 289*j**6/360 - 119*j**5/45 - 65*j**4/24 - j**3 - 3*j**2 - 3*j. Factor x(m).
(m - 2)*(17*m + 3)**2/3
Let d(a) be the first derivative of a**7/105 + a**6/80 - a**5/120 - 9*a**2/2 - 16. Let b(r) be the second derivative of d(r). Factor b(x).
x**2*(x + 1)*(4*x - 1)/2
Let m(i) be the first derivative of i**6/240 - i**5/60 - i**4/48 + i**3/6 + i**2/2 + 10. Let t(h) be the second derivative of m(h). Let t(x) = 0. What is x?
-1, 1, 2
Let f(t) be the third derivative of -t**9/30240 - t**8/10080 + t**7/2520 + t**6/360 + t**5/15 - 12*t**2. Let h(k) be the third derivative of f(k). Factor h(a).
-2*(a - 1)*(a + 1)**2
Let m(x) = 0*x**2 - 18*x + 19*x + 5 - 4 - 2*x**2. Let f be m(1). Factor 2/5*b**2 + 0 + 0*b + f*b**4 + 3/5*b**3 - 1/5*b**5.
-b**2*(b - 2)*(b + 1)**2/5
What is b in 6/5*b - 1/5*b**2 - 1 = 0?
1, 5
Let i be (-1 - 1)*1*(10/(-50))/1. Factor 0 + 8/15*d**2 + i*d + 2/15*d**3.
2*d*(d + 1)*(d + 3)/15
Let c(r) = 7*r**2 + 56*r - 5. Let p(m) = 9*m**2 + 57*m - 6. Let b(f) = 6*c(f) - 5*p(f). Factor b(h).
-3*h*(h - 17)
Suppose a = -0*a + 4. Suppose 3*k = -2*s + 31, 3*k - 2*s - 41 = -6. What is p in 4*p - k*p**2 + 4*p**3 + 5*p**2 - p**4 + 3 - a = 0?
1
Let o(c) be the first derivative of -c**8/4200 - c**7/525 - c**6/225 + 7*c**3/3 + 1. Let d(l) be the third derivative of o(l). Let d(v) = 0. What is v?
-2, 0
Let k be (-1 - 2/2) + 7. Let c be (-25)/(-30)*80/100. Factor 2/3*l**2 - 2/3*l + 1/6*l**k + 1/2*l**3 + 0 - c*l**4.
l*(l - 2)**2*(l - 1)*(l + 1)/6
Factor -1/2*b**2 - 3/4 + 5/4*b.
-(b - 1)*(2*b - 3)/4
Let d be 2/8 - (-295)/20. Factor 30*w**3 + 0*w**4 - d*w - 13 + 30*w**4 + 9*w**5 + 7.
3*(w + 1)**4*(3*w - 2)
Suppose 5*a - 5*h = 35, -3*h - 4 = 2. Let m(x) be the first derivative of 6 + 0*x - 5/4*x**4 + x**a + 5/2*x**2 - 5/3*x**3. Factor m(q).
5*q*(q - 1)**2*(q + 1)
Let k be (57 - 53)/(20/25). Let 5/4*t**3 - 5*t**2 + 0*t + k*t**4 + 0 - 5/4*t**5 = 0. Calculate t.
-1, 0, 1, 4
Solve -3*s**2 + 15*s**3 + 3*s**4 + 4*s**2 + 10*s**2 + s**2 = 0 for s.
-4, -1, 0
Let q(t) = -t**2 + 6*t + 9. Let g be q(7). Suppose -5*r**2 + 4*r**4 + 0*r**2 + 8*r**3 + 7*r**2 + g*r**2 = 0. Calculate r.
-1, 0
Let p(o) be the first derivative of 4*o**5/5 + 31*o**4 + 340*o**3 + 450*o**2 + 130. Factor p(l).
4*l*(l + 1)*(l + 15)**2
Let m(o) be the third derivative of -3*o**8/112 + o**7/7 - o**6/40 - 9*o**5/10 + o**4/2 + 4*o**3 - 4*o**2 - 3*o. Suppose m(f) = 0. What is f?
-1, -2/3, 1, 2
Let u be (-3)/(5 + 138/(-24)). Suppose 5*i + z - 8 = u*i, i - 4*z + 17 = 0. Solve 2/3*d**2 - 2/3 + 2/3*d**i - 2/3*d = 0 for d.
-1, 1
Let t(h) be the first derivative of -h**6/135 + h**5/30 - h**4/27 + 6*h + 15. Let p(x) be the first derivative of t(x). Determine u so that p(u) = 0.
0, 1, 2
Determine c so that -3*c + 3/7*c**2 + 18/7 = 0.
1, 6
Let w(l) be the first derivative of -l**4/4 - l**3/3 + l**2 - 10. Factor w(p).
-p*(p - 1)*(p + 2)
Determine r so that 64 + 45*r - 57 + 33 + 5*r**2 = 0.
-8, -1
Let c be (5 + (-364)/65)/(1/(-6)). Suppose 8/5*m**3 + 6/5*m**2 - c*m + 4/5 = 0. What is m?
-2, 1/4, 1
Let -14683 + 2*t**3 + 56*t - 8*t**2 - 4*t**3 + 14619 = 0. Calculate t.
-8, 2
Let v = 5 + -3. Find s, given that 18*s + 6 + 21*s**v - 6*s**2 + 4*s - s = 0.
-1, -2/5
Let q(f) be the second derivative of f**5/60 - 19*f**4/36 + 8*f**3/9 + 6*f**2 - 14*f - 2. Factor q(r).
(r - 18)*(r - 2)*(r + 1)/3
Let u(o) be the first derivative of 24*o**5/25 - 81*o**4/10 - 14*o**3/5 - 144. Suppose u(p) = 0. Calculate p.
-1/4, 0, 7
Suppose 5*l + 5*z = 65, -l - 35 = -4*l - z. Determine a so that 3*a**2 + l*a**2 + 6*a**2 - 20*a**4 + 16*a - 12*a**3 - 4*a**5 = 0.
-4, -1, 0, 1
Let c(k) be the first derivative of k**5/420 - k**3/42 + 23*k**2/2 + 32. Let a(w)