4
Factor -3 - 1 - 4*p + 1 - 3 + 2*p**2.
2*(p - 3)*(p + 1)
Let p be (33/3 - -1) + -2. Let d be 4/p + (-1 - -1). Factor -6/5*c**3 - d*c + 2/5*c**4 + 0 + 6/5*c**2.
2*c*(c - 1)**3/5
Determine z, given that -2*z - 8*z**2 - 92*z**3 + 98*z**3 + 0*z**2 + 4 = 0.
-2/3, 1
Let r(c) be the third derivative of 0*c + 0 + 1/15*c**3 - 1/150*c**5 + 6*c**2 + 0*c**4. Solve r(i) = 0 for i.
-1, 1
Let h = 65588/20293 - 2/1561. Let i = h - 242/91. Factor 0 + 10/7*o**2 + 2*o**3 - i*o.
2*o*(o + 1)*(7*o - 2)/7
Let n = -3 - -5. Let s(w) = w**3 - w - 1. Let c be s(n). Factor 0*g**c - 2*g**2 + 0*g**2 + 6*g**3 - 6*g**4 + 2*g**5.
2*g**2*(g - 1)**3
Let o(z) = z. Let p(b) = -b**2 + 3*b + 2. Let y(r) = 2*o(r) - p(r). Factor y(f).
(f - 2)*(f + 1)
Let f(n) be the third derivative of -n**5/240 + n**4/12 - 2*n**3/3 - 3*n**2. Factor f(v).
-(v - 4)**2/4
Suppose 2*o - i - 3 = 0, 3*i = -2*o + 6*o - 9. Let f(d) be the first derivative of 3/4*d**4 + 0*d + o*d**2 - 4/5*d**5 - 2 + 1/3*d**3. Factor f(m).
-m**2*(m - 1)*(4*m + 1)
Let r be 7/((-147)/18)*-28. Factor -r + 7*z + 5*z + 3*z**4 + 10*z**2 - 15*z**3 + 8*z**2.
3*(z - 2)**3*(z + 1)
Let w(m) be the second derivative of -m**7/3780 - m**6/1080 + m**5/90 + m**4/6 - 3*m. Let d(t) be the third derivative of w(t). Factor d(u).
-2*(u - 1)*(u + 2)/3
Determine j so that 0 + 2/7*j**2 + 0*j = 0.
0
Let x(n) be the second derivative of -4/11*n**2 + 12/11*n**3 - 27/22*n**4 + 0 + 3*n. Factor x(j).
-2*(9*j - 2)**2/11
Let n(d) be the third derivative of 0 + 0*d - 1/132*d**4 + 1/330*d**5 + d**2 - 2/33*d**3. Factor n(v).
2*(v - 2)*(v + 1)/11
Let w(y) be the third derivative of -4/105*y**7 - 1/12*y**4 - 2/15*y**5 + 0*y**3 - 1/10*y**6 + 0 + 0*y - 4*y**2 - 1/168*y**8. Factor w(v).
-2*v*(v + 1)**4
Let o = -4 - -7. Let h(r) = -r**2 + 3*r + 4. Let d be h(o). Solve 1 + 5 + 4*l**3 + 2*l**4 - d - 2*l**5 - 4*l**2 - 2*l = 0 for l.
-1, 1
Let s be 2 + 0 + (2 - 4). Let c be (12 + s)*2/3. Let 2*l - 2*l + c*l**4 - 9*l**4 + l**5 = 0. What is l?
0, 1
Let n be 45/(3 - -2) - 4. Let b(k) be the third derivative of -1/15*k**3 + 0*k + 1/150*k**n + 0 + 0*k**4 + 2*k**2. Factor b(i).
2*(i - 1)*(i + 1)/5
Suppose 0 = 3*m - 3 - 3. Suppose y = -m*y. Factor 1/3*n - 1/3*n**2 + y.
-n*(n - 1)/3
Let b = -382 + 384. Solve 14/9*o**4 + 0 - 4/9*o**3 - 14/9*o**b + 4/9*o = 0.
-1, 0, 2/7, 1
Suppose -2*d**2 + 2*d + 1/2*d**3 + 0 = 0. Calculate d.
0, 2
Suppose -6/5*b**3 - 18/5*b**4 + 0 + 2*b**2 - 2/5*b = 0. Calculate b.
-1, 0, 1/3
Let n(t) be the second derivative of 0*t**3 + 0*t**2 - 1/30*t**6 - 1/20*t**5 + 1/42*t**7 + 1/12*t**4 + 0 + 6*t. Find s such that n(s) = 0.
-1, 0, 1
Let y(w) be the first derivative of -w**4/22 - 2*w**3/11 + 4*w**2/11 + 24*w/11 - 37. Find j, given that y(j) = 0.
-3, -2, 2
Factor 1/4 + 1/4*w**2 + 1/2*w.
(w + 1)**2/4
Let p be (-3)/(-12)*(-4)/(-3). Factor 1/2*c - 1/6*c**2 - p.
-(c - 2)*(c - 1)/6
Let c be (0 - (6 + -4)) + 4. Let h(i) be the third derivative of 2/27*i**3 + 1/108*i**4 - 1/270*i**5 + 0 + 0*i + 2*i**c. Suppose h(s) = 0. Calculate s.
-1, 2
Let y be (0 + 1 + -1)/(269 - 266). What is g in 2/7*g**2 + y - 4/7*g + 2/7*g**3 = 0?
-2, 0, 1
Let l be (-2)/6 - 10/(-3). Let o(i) = 6*i**4 + 7*i**3 + 8*i**2 - 7*i. Let c(s) = s**4 + s**3 + s**2 - s. Let r(p) = l*o(p) - 21*c(p). Factor r(d).
-3*d**2*(d - 1)*(d + 1)
Factor -8/3*y**2 + 10/3*y - 4/3 + 2/3*y**3.
2*(y - 2)*(y - 1)**2/3
Let h(m) be the first derivative of -2*m**3/3 - 4*m**2 - 8*m + 5. Factor h(x).
-2*(x + 2)**2
Let f be -4 - (3 + (-260)/36). Suppose 0*h + 0 + f*h**2 = 0. What is h?
0
Suppose h + 5*c - 4 = 0, h - 4 = -c - 2*c. What is d in 3*d**2 - d**2 + 4*d**2 - 4*d + 1 - 4*d**3 + d**h = 0?
1
Let n(m) = -m**3 - m**2 - m + 1. Suppose -5*g - 29 = 7*t - 3*t, 5 = -5*g. Let f(z) = z**4 + 3*z**3 + 9*z**2 + 5*z - 6. Let p(d) = t*n(d) - f(d). Factor p(w).
-w*(w - 1)**3
Let z = 1 + 2. Factor -x**3 - x**z - 2*x**2 + x**3.
-x**2*(x + 2)
Suppose 3*n + 5*k - 3 = 7, 3*n - 2*k - 17 = 0. Find c, given that -c**4 + 4*c**2 - 2*c**n - 2*c**4 + 4*c**3 - 2 - 2*c + c**4 = 0.
-1, 1
Factor 0 + 0*o**2 - 3/2*o - 3*o**4 + 9/2*o**3.
-3*o*(o - 1)**2*(2*o + 1)/2
Let z(g) = -2. Let u(t) = t**3 + t**2 - 6. Let j(s) = -2*u(s) + 6*z(s). Determine f, given that j(f) = 0.
-1, 0
Let v(l) = -l**3 - 10*l**2 - 7*l + 4. Let q be v(-9). Let u be 2/(-8)*28/q. Find m, given that 3/2*m**2 - u*m**3 - m + 0 = 0.
0, 1, 2
Let s = 0 - 0. Let w(v) be the second derivative of 2/3*v**4 - 4/3*v**3 - v + v**2 + s. Let w(r) = 0. What is r?
1/2
What is s in -25*s**4 - 29*s**3 + 31*s**2 + 9*s**2 - 6*s**3 + 14*s + 6*s = 0?
-2, -2/5, 0, 1
Solve 0 + 1/4*k - 1/4*k**3 - 1/4*k**2 + 1/4*k**4 = 0 for k.
-1, 0, 1
Let z(j) be the second derivative of 0*j**4 + 2/39*j**3 - 1/65*j**5 + 0 + 3*j - 1/195*j**6 + 1/13*j**2. Factor z(a).
-2*(a - 1)*(a + 1)**3/13
Suppose -2*q - 52 = 18. Let b = -104/3 - q. Factor 1/3*c**3 - 1/3 + b*c**2 - 1/3*c.
(c - 1)*(c + 1)**2/3
Let g be 0 + 0 - (-104)/13. Find p such that 6 - g*p + 3*p**3 + 0*p**3 - p = 0.
-2, 1
Let j(o) = -o**2 - 14*o - 8. Let z = 18 - 31. Let q be j(z). Find v, given that 0*v**2 + 3/2*v**q + 3*v**3 + 4*v**4 - 1/2*v + 0 = 0.
-1, 0, 1/3
Let z(g) be the first derivative of g**6/21 + 2*g**5/35 - g**4/14 - 2*g**3/21 + 11. Determine v so that z(v) = 0.
-1, 0, 1
Suppose -6*z = -2*z - 12. Let j(r) be the second derivative of -1/12*r**4 + 0 + 1/10*r**2 - 1/30*r**z + 2*r - 3/100*r**5. Solve j(g) = 0.
-1, 1/3
Suppose 1/5 - 2/5*t + 1/5*t**2 = 0. Calculate t.
1
Let i(b) be the first derivative of -b**4/48 + b**3/12 - b**2/8 - 4*b - 2. Let d(a) be the first derivative of i(a). Find x such that d(x) = 0.
1
Let v(t) be the third derivative of -t**8/168 + t**7/105 + t**6/10 - 2*t**5/15 - 2*t**4/3 + 11*t**2. What is o in v(o) = 0?
-2, -1, 0, 2
Let c(f) be the first derivative of -f**4/48 - f**3/12 - 2*f - 1. Let z(s) be the first derivative of c(s). Factor z(n).
-n*(n + 2)/4
Let w(i) be the second derivative of -i**4/12 + 2*i**3/3 - 3*i**2/2 + 6*i. Let b(t) = -t**2 + 8*t - 7. Let o(f) = 3*b(f) - 7*w(f). Factor o(s).
4*s*(s - 1)
Let x(t) = 3*t**5 + 7*t**4 + 5*t**3. Let p(j) = 8*j**5 + 20*j**4 + 14*j**3. Let c(o) = 5*p(o) - 14*x(o). Factor c(r).
-2*r**4*(r - 1)
Let a be -5*(-5)/((-100)/(-8)). Let z**a + 10*z**2 - 8*z - z**2 - 2 = 0. What is z?
-1/5, 1
Let z(t) be the third derivative of t**8/3360 - t**7/840 + t**6/720 + t**3/6 - 3*t**2. Let u(f) be the first derivative of z(f). Let u(s) = 0. What is s?
0, 1
Let q(l) = -2*l**2 + 8*l - 3. Let r be q(3). Let j(z) be the first derivative of 1/18*z**4 + 0*z - 1/9*z**2 + 0*z**3 + r. Suppose j(i) = 0. Calculate i.
-1, 0, 1
Let n(i) be the first derivative of -1/5*i**2 + 4 + 0*i + 1/15*i**3. Factor n(w).
w*(w - 2)/5
Let w(y) = y**4 - y**2 - 1. Let x be -2*(-1)/(-2)*1. Let k(a) = 3*a**4 - 2*a**3 - 3*a**2 + 2*a - 1. Let s(p) = x*w(p) + k(p). Suppose s(u) = 0. What is u?
-1, 0, 1
Let h(r) = -4*r**2 + 3*r + 4. Let m(i) = 17*i**2 - 13*i - 17. Let c(f) = 26*h(f) + 6*m(f). Solve c(w) = 0 for w.
-1, 1
Solve 0 - 1/4*q**2 + 1/4*q**4 - 1/4*q**5 + 0*q + 1/4*q**3 = 0.
-1, 0, 1
Let x(i) = 2*i**2 + 3*i + 1. Let k(j) = j + 1. Suppose 2*d - 1 = -5. Let z be (-1)/((-2)/d) - -2. Let c(a) = z*x(a) - 3*k(a). Factor c(y).
2*(y - 1)*(y + 1)
Let i(s) = -17*s - 17. Let b be i(-1). Suppose -2/3*n**3 + b + 0*n + 1/3*n**2 - n**4 = 0. Calculate n.
-1, 0, 1/3
Let j = -3 + 5. Let i be 3/1*2/3. Factor 4*m + 0*m + j*m**2 + 0*m**2 + i.
2*(m + 1)**2
Let p = 0 - -3. Let a(j) be the third derivative of 0*j**p - 1/84*j**4 + 0 + 1/210*j**5 + 1/420*j**6 - 1/735*j**7 + j**2 + 0*j. Solve a(o) = 0 for o.
-1, 0, 1
Let l(z) be the first derivative of 3*z**4/4 + 9*z**2/2 + 9*z + 2. Let o(b) = -b**3 - 4*b - 4. Let q(w) = 4*l(w) + 9*o(w). Determine s, given that q(s) = 0.
0
Let h(a) be the second derivative of a**7/210 - a**6/150 - a**5/25 + a**4/15 - a + 32. Solve h(u) = 0 for u.
-2, 0, 1, 2
Let k be 1*(0 + 8 + 2). Solve 6*p**3 + 2 + 4*p**2 - 3*p + k*p**2 + 9*p + 4*p = 0.
-1, -1/3
Suppose 5*f = -0*f + 5. Let o(v) be the first derivative of 1/9*v**3 + 4/3*v + 2/3*v**2 + f. Factor o(c).
(c + 2)**2/3
Let x(k) be the second derivative of -1/20*k**5 + 0 + 1/3*k**3 + 3*k + 0*k**2 + 1/12*k**4. Factor x(j).
-j*(j - 2)*(j + 1)
Let n(j) be the second derivative of 0*j**2 - 1/36*j**4 + j - 1/18*j**3 + 0. Find z, given that n(z) = 0.
-1, 0
Suppose -4*s + 25 = s. Let -s*q