. Factor x(v).
(v - 3)*(v - 2)
Let d = 8 - 6. Let 0 + 25 - d*f**2 + 11 - 2*f**2 = 0. Calculate f.
-3, 3
Let u(s) be the second derivative of 1/60*s**5 - 1/36*s**4 + 1/90*s**6 + 0*s**3 + 0*s**2 - 21*s + 0 - 1/126*s**7. What is r in u(r) = 0?
-1, 0, 1
Factor 6*a**2 + 3*a**2 - 2*a + 5*a**3 - 4*a**4 - 2*a**2.
-a*(a - 2)*(a + 1)*(4*a - 1)
Let m(q) be the first derivative of q**3/3 + 7*q**2 + 40*q + 108. Determine r, given that m(r) = 0.
-10, -4
Let q(g) be the first derivative of -g**4/4 - 7*g**3/3 + 10*g**2 + 20*g + 4. Let o be q(-9). Let -10/7*i**3 - 2/7 + 8/7*i**4 + 10/7*i - 6/7*i**o = 0. What is i?
-1, 1/4, 1
Suppose -154 = -6*j - 130. Let k(p) be the third derivative of 1/48*p**5 + 1/840*p**7 + 1/120*p**6 + 0*p**3 + 0 + 0*p + 1/48*p**j + 6*p**2. Factor k(x).
x*(x + 1)**2*(x + 2)/4
Let b(d) = -d**3 - 9*d**2 + 5*d + 30. Let r be b(-9). Let q be (-136)/(-30) + 15/(r/4). Determine o, given that 2/5*o + q*o**2 - 2/15 = 0.
-1, 1/4
Let l(r) = -2*r - 8. Let p be l(-6). Find n such that -168*n**2 - 15 - 433*n - 145 - 4*n**p - 44*n**3 + 161*n = 0.
-5, -2
Let y(p) be the third derivative of -p**5/15 + 6*p**4 - 136*p**3/3 - 38*p**2 + 4. Factor y(h).
-4*(h - 34)*(h - 2)
Let r be ((-3)/15)/(5/(-125)). Let 261*t**2 - r*t**4 - 261*t**2 - 10*t**3 = 0. What is t?
-2, 0
Solve 6/5*q**3 - 12/5 - 26/5*q - 8/5*q**2 = 0 for q.
-1, -2/3, 3
Factor 5*m + 81*m**3 + 193*m**4 + 59*m**4 - 36*m**2 - 15*m**3 - 2*m + 147*m**5.
3*m*(m + 1)**2*(7*m - 1)**2
Let j(g) be the third derivative of 1/110*g**6 - 33*g**2 + 0 + 1/44*g**4 + 0*g + 0*g**7 + 0*g**3 - 4/165*g**5 - 1/1848*g**8. Factor j(u).
-2*u*(u - 1)**3*(u + 3)/11
Let g be (-560)/(-4200)*(-5)/(-4). Solve -1/6*v - g*v**4 + 1/3*v**3 - 1/6*v**5 + 1/3*v**2 - 1/6 = 0.
-1, 1
Suppose 1/6*o**3 + 20*o - 7/2*o**2 - 50/3 = 0. What is o?
1, 10
Find g such that 3/5*g**5 - 37/5*g**3 - 7/5*g**4 - 17/5*g**2 + 0 + 2*g = 0.
-2, -1, 0, 1/3, 5
Find o, given that 18*o - 634*o**3 + 260*o**4 - 45*o**5 + 410*o**2 - 42*o - 40 - 36*o + 109*o**3 = 0.
-2/9, 1, 2
Let f be (1376 - 6) + 4/2. Factor -148*l - f*l**3 - 210*l**2 + 260*l - 182*l**2 + 32.
-4*(7*l - 2)*(7*l + 2)**2
Let q(j) be the first derivative of -8/7*j**3 - 1/7*j + 9/14*j**2 + 33 + 4/7*j**4. Solve q(v) = 0 for v.
1/4, 1
Let o(n) be the first derivative of -n**3 + 90*n**2 + 372*n + 133. Determine y, given that o(y) = 0.
-2, 62
Let o(x) be the first derivative of 2*x**2 + 7 - 2/3*x**3 - 1/2*x**4 + 0*x. Factor o(u).
-2*u*(u - 1)*(u + 2)
Let z(k) be the first derivative of -15*k**4/4 - 99*k**3 - 720*k**2 + 300*k + 122. Determine o, given that z(o) = 0.
-10, 1/5
Let z(v) be the first derivative of -5*v**7/126 + v**6/9 + v**5/12 - 5*v**4/18 + 13*v + 11. Let w(j) be the first derivative of z(j). Let w(r) = 0. Calculate r.
-1, 0, 1, 2
Let f(b) = 3*b**3 - 2*b**2 - 3*b - 2. Let r(k) = 4*k + 1 + 5*k**2 + 3 - 7*k**3 + 3*k. Let g be 9/6*(1 + 5). Let n(a) = g*f(a) + 4*r(a). Solve n(x) = 0 for x.
-1, 1, 2
Let m(x) be the first derivative of -5*x**3/3 + 575*x**2 - 66125*x + 256. What is o in m(o) = 0?
115
Let q(v) = 2*v**4 + v**3 + v**2 - v. Let p(k) = -7*k**4 + 79*k**3 + 174*k**2 + 91*k. Let c(f) = p(f) + q(f). Let c(g) = 0. Calculate g.
-1, 0, 18
Let g(j) be the first derivative of -j**5/4 + 5*j**4/12 + 5*j**3/6 - 5*j**2/2 - 6*j - 20. Let s(c) be the first derivative of g(c). Let s(a) = 0. What is a?
-1, 1
Let c = 28 + -25. Let j(u) = 4*u**2 + 11*u + 4. Let g(v) = -8*v**2 - 21*v - 8. Let i(w) = c*g(w) + 5*j(w). Let i(x) = 0. What is x?
-1
Suppose 3*b + 3 + 15 = 5*v, -b - 16 = -5*v. Let d(w) be the first derivative of -w**4 + 5 - 1/5*w**5 - 2*w**2 - w - 2*w**v. Solve d(t) = 0 for t.
-1
Suppose -707*i + 721*i = 42. Let r be (-5)/(-9)*(-15)/(-50). Factor r*a**2 - 1/6 + 1/6*a**i - 1/6*a.
(a - 1)*(a + 1)**2/6
Let 561/8*g + 35/2 + 1/2*g**2 = 0. Calculate g.
-140, -1/4
Let i = 1 - -1. Factor 210*k**4 + 108*k**3 + 284*k**i + 42 - 382*k**3 - 24 - 74*k**3 - 114*k - 50*k**5.
-2*(k - 1)**3*(5*k - 3)**2
Factor 1323 + 10*y**2 - 1319 + 12*y**2 + 72*y**2 + 98*y.
2*(y + 1)*(47*y + 2)
Let i(p) be the third derivative of p**5/30 - 8*p**4/3 + 256*p**3/3 + 84*p**2 - 2. Suppose i(v) = 0. Calculate v.
16
Let v be 1 + -2 + (-7)/((-350)/80). Factor 0*i**2 - 3/5*i**3 + 0 + 0*i + v*i**4.
3*i**3*(i - 1)/5
Solve -243*u - 13 + 135*u**2 + 94 + 3*u**3 + 5*u**3 + 67*u**3 = 0.
-3, 3/5
Let h be 1*(-2*6/(-4) + -100). Let b = -97 - h. What is o in 2*o**3 + b + 2/3*o**4 + 0*o**2 - 8/3*o = 0?
-2, 0, 1
Let k be ((-2)/(-2) - 3) + 14. Suppose 5*c + 5*p = 10, 3*c + 10*p - 9*p = 8. Find t such that 5*t**2 + 10*t**3 - k*t**c - 3*t**2 = 0.
0, 1
Let q(r) be the third derivative of 0*r**3 - 1/420*r**6 + 0*r**4 + 0*r + 1/42*r**5 + 17*r**2 + 0. Find v, given that q(v) = 0.
0, 5
Let w(r) = -2*r**2 + 2*r + 614. Let s be w(18). Let 2/9*p**s + 4/9*p + 2/9 = 0. What is p?
-1
Let a(g) = -19*g**2 + 6*g. Let l(c) = -3*c**2 + c. Suppose -4*q + 13 = -d, 16 = -0*q + 4*q. Suppose -5*k + d = -27. Let t(z) = k*a(z) - 39*l(z). Factor t(h).
3*h*(h - 1)
Suppose -9/4*i**5 + 0*i - 33/4*i**2 + 9/4*i**3 + 3 + 21/4*i**4 = 0. Calculate i.
-1, -2/3, 1, 2
Let i(p) = 3*p**2 + p + 1. Suppose 7*g - 2*g = 2*a + 14, 4*g - 5*a = 18. Let m be i(g). Factor -3*f + 5 - 5*f**3 + 5*f + m*f**2 - 17*f.
-5*(f - 1)**3
Let z(w) be the first derivative of 3*w**5/5 - 3*w**4 + 4*w**3 + 94. Factor z(a).
3*a**2*(a - 2)**2
Let o be 1/(-1) + (-13)/(-5). Let g = 32076/5 - 6415. Factor o*b - g - 16/5*b**2.
-(4*b - 1)**2/5
Let b(w) = -5*w**3 + 176*w**2 - 2521*w + 2. Let s(u) = 51*u**3 - 1761*u**2 + 25209*u - 21. Let i(f) = 21*b(f) + 2*s(f). Factor i(a).
-3*a*(a - 29)**2
Let t be ((105/6)/(-7))/(-2)*26. Let z = -32 + t. Let o + 0 - o**3 - 1/2*o**4 + z*o**2 = 0. What is o?
-2, -1, 0, 1
Let l = 448 + -448. Let w(q) be the third derivative of 0 - 6*q**2 - 1/12*q**4 + 1/1260*q**7 + 1/4*q**3 + l*q + 1/180*q**6 - 1/180*q**5. Solve w(x) = 0.
-3, 1
Determine f so that 8*f**2 + 15*f**3 - 16*f - 10*f**4 + 2*f**5 + f**3 - 4*f**3 = 0.
-1, 0, 2
Let t(i) be the third derivative of -i**6/630 + i**5/420 + 7*i**3/2 - 11*i**2. Let x(w) be the first derivative of t(w). Factor x(b).
-2*b*(2*b - 1)/7
Let r(k) be the first derivative of -3*k**4/4 - 3*k**3 + 6*k**2 - 53. Factor r(s).
-3*s*(s - 1)*(s + 4)
Let c(o) be the first derivative of -2*o + 4*o**2 + 4/3*o**3 - 6*o**4 - 6 - 18/5*o**5. Find q such that c(q) = 0.
-1, 1/3
Let z = 8386 + -8384. Find x such that 0 + 2/5*x + 2/5*x**z = 0.
-1, 0
Suppose -2 = -2*k + 2. Suppose -2*t = 3*i + 2 - 6, 4*i - 4 = -k*t. Let 0*l + 1/2*l**t + 0*l**3 - 1/4*l**4 - 1/4 = 0. What is l?
-1, 1
Let r(o) be the first derivative of -2*o**5 + 7*o**4/2 - 14*o - 12. Let h(j) = -2*j**4 + 3*j**3 - 3. Let n(x) = 14*h(x) - 3*r(x). Suppose n(k) = 0. Calculate k.
0
Let s(y) be the third derivative of 1/45*y**5 + 0*y + 0 + 2*y**3 + 1/3*y**4 + 5*y**2. Let s(v) = 0. Calculate v.
-3
Let w be (-98)/(-441)*(-1 + (3 - 1)). Determine h, given that 0*h**2 - 10/9*h**4 + 8/9*h**5 + 0 + w*h**3 + 0*h = 0.
0, 1/4, 1
Suppose -15*f + 17*f - 4 = 0. Let w be f/1 - 6/(-6)*1. Factor -5/3*n**5 - 2/3*n - 7*n**w + 0 + 17/3*n**4 + 11/3*n**2.
-n*(n - 1)**3*(5*n - 2)/3
Let f(v) be the first derivative of 8/9*v**2 + 32 - 10/9*v**3 + 2/9*v**4 + 2/3*v. Let f(t) = 0. Calculate t.
-1/4, 1, 3
Let u be (-11)/(-22)*(-6)/(-1). Suppose 2*s**2 + s**2 - 3*s**4 + 23*s**3 - 20*s**3 - u*s**5 = 0. What is s?
-1, 0, 1
Let t = -522 + 522. Let o(q) be the third derivative of t*q**3 + 1/60*q**6 - 3*q**2 + 0*q + 0*q**5 - 1/42*q**7 - 1/48*q**8 + 0 + 0*q**4. Factor o(m).
-m**3*(m + 1)*(7*m - 2)
Let a(v) be the second derivative of 20*v + 0 + 1/4*v**4 + 0*v**2 + 5/12*v**3 + 1/40*v**5. Factor a(z).
z*(z + 1)*(z + 5)/2
Let q(m) = -11*m**4 + 33*m**3 + 5*m**2 - 553*m - 784. Let v(f) = 5*f**4 - 17*f**3 - 3*f**2 + 277*f + 392. Let o(k) = -6*q(k) - 14*v(k). Solve o(a) = 0.
-2, 7
Factor 0 - 26/5*p**2 - 2/5*p**4 - 16/5*p**3 - 12/5*p.
-2*p*(p + 1)**2*(p + 6)/5
Let b(u) = 55*u**2 - 36*u**2 + 95 - 73*u**2 - 66*u**2 + 95*u**4. Let l(c) = 8*c**4 - 10*c**2 + 8. Let n(k) = -3*b(k) + 35*l(k). Factor n(t).
-5*(t - 1)**2*(t + 1)**2
Let f be (-89965)/592800 + (-3)/(39/(-2)). Let p(t) be the third derivative of 0*t**3 + 0*t + 0*t**4 + 0 - 1/80*t**5 - f*t**6 + 8*t**2. Let p(g) = 0. What is g?
-3, 0
Let i(c) be the third derivative of -c**8/336 + c**6/30 + c**5/30 - c**4/8 -