 1/84*g**7 - 8*g + 1/40*g**5 + 0. Solve h(y) = 0 for y.
-1, 0
Let h(y) be the third derivative of -y**6/60 - y**5/15 - y**4/12 + 32*y**2 + y. Factor h(c).
-2*c*(c + 1)**2
Let m be ((630/40)/(-21))/(1 + 51/(-42)). Factor 2*p**3 + m*p**5 - 11/2*p + 7*p**2 - 8*p**4 + 1.
(p - 1)**3*(p + 1)*(7*p - 2)/2
Let q(y) be the first derivative of -y**6/4 - 27*y**5/5 + 117*y**4/8 - 10*y**3 + 205. Factor q(k).
-3*k**2*(k - 1)**2*(k + 20)/2
Let 12*v**2 + 48/7 + 3/7*v**4 - 27/7*v**3 - 108/7*v = 0. What is v?
1, 2, 4
Let h(o) be the first derivative of 4*o**3/3 - 16*o**2 + 28*o + 65. Find k such that h(k) = 0.
1, 7
Let j(k) be the second derivative of k**7/70 + 31*k**6/50 + 81*k**5/100 - 91*k**4/20 - 14*k**3/5 + 18*k**2 - 140*k + 2. Suppose j(q) = 0. Calculate q.
-30, -2, -1, 1
Let r(h) be the first derivative of 4*h**6/27 - 4*h**5/9 + h**4/3 + 4*h**3/27 - 2*h**2/9 - 35. Factor r(m).
4*m*(m - 1)**3*(2*m + 1)/9
Solve -10*n + 10*n**3 - 8962*n**4 + 8967*n**4 + n**2 - 6*n**2 = 0.
-2, -1, 0, 1
Let b be (0/4 + -1)*-4. Let -4*j**3 + 718*j**b - 4*j**2 - 358*j**4 - 356*j**4 + 4*j = 0. What is j?
-1, 0, 1
Let y(f) be the second derivative of 3*f**5/100 + 2*f**4/5 - f**3/10 - 12*f**2/5 + 29*f. Factor y(p).
3*(p - 1)*(p + 1)*(p + 8)/5
Let l(d) be the third derivative of d**8/560 - 3*d**7/175 + 9*d**6/200 - d**5/25 + 9*d**2 + 2*d. Find y such that l(y) = 0.
0, 1, 4
Let y = -76 + 79. Factor 36*h**2 + 2*h**4 + 16*h**y - 20*h**2 + 2*h**4.
4*h**2*(h + 2)**2
Let n = 225 - 214. Let k(r) = 6*r - 66. Let d be k(n). What is b in 2/11*b**3 + d*b**2 - 4/11 - 6/11*b = 0?
-1, 2
Factor 432*w + 56 - 466*w - 30*w**2 - 8*w**3 - 68.
-2*(w + 1)*(w + 2)*(4*w + 3)
Factor -2/3*o**4 - 34/3*o**2 - 20/3*o + 0 - 16/3*o**3.
-2*o*(o + 1)*(o + 2)*(o + 5)/3
Let l = 1219 - 1217. Let s(i) be the first derivative of -5/4*i**4 - 2*i + 3/5*i**5 - 9/2*i**l - 13/3*i**3 + 9 + 1/3*i**6. Determine r so that s(r) = 0.
-1, -1/2, 2
Let d(m) be the first derivative of -5*m**3/3 + 5*m**2/2 - 26. Determine p so that d(p) = 0.
0, 1
Suppose 4*v + 44 = -4*b, -b - 31 = b + 5*v. Let x(q) = q**2 + 6*q + 2. Let g(c) = -3*c**2 - 17*c - 6. Let r(l) = b*x(l) - 3*g(l). Factor r(h).
(h + 1)*(h + 2)
Solve -3/7*o**3 + 0*o + 0*o**2 + 0 + 3/7*o**4 = 0.
0, 1
Suppose 13 = 44*p - 31. Factor 1/2*j**2 - p - 1/2*j.
(j - 2)*(j + 1)/2
Let r(k) be the third derivative of -3*k**8/560 + k**7/70 + k**6/30 + 7*k**3/6 - 23*k**2. Let n(v) be the first derivative of r(v). Factor n(o).
-3*o**2*(o - 2)*(3*o + 2)
Suppose -3*k + 136 = k. What is t in 24 + 35*t + 13*t**2 - 3*t**2 - k - 35*t**3 = 0?
-1, 2/7, 1
Factor 6/25*n - 4/25 + 0*n**2 - 2/25*n**3.
-2*(n - 1)**2*(n + 2)/25
Let t(p) = -p**2 - 4*p + 19. Let z be t(-6). Let g be 2*z/(-14) - -3. Factor 2/11*h**3 - 2/11*h + 2/11*h**g - 2/11.
2*(h - 1)*(h + 1)**2/11
Solve 12/5*v**5 + 0*v - 6/5*v**3 + 0 + 6/5*v**4 + 0*v**2 = 0 for v.
-1, 0, 1/2
Let i(v) be the first derivative of -1/3*v**6 + 0*v**2 + 4/3*v**3 - 4/5*v**5 + 1/2*v**4 + 0*v - 5. Let i(n) = 0. What is n?
-2, -1, 0, 1
Let a(d) = 2*d**4 - 21*d**3 + 39*d**2 - 23*d - 3. Let o(n) = n**4 - 2*n**2 - 1. Let g(f) = 2*a(f) - 6*o(f). Factor g(z).
-2*z*(z - 1)**2*(z + 23)
Suppose 3*a = -7*a + 90. Find y, given that 3 - y**2 - 3 + a*y - 11*y = 0.
-2, 0
Let q = 8 - 6. Factor 2 + 3*u**q + u - 13*u + 7.
3*(u - 3)*(u - 1)
Let p(a) be the first derivative of a**8/336 - a**7/168 - a**6/24 + 5*a**5/24 - 5*a**4/12 - a**3 - 7. Let j(o) be the third derivative of p(o). Factor j(f).
5*(f - 1)**3*(f + 2)
Let o = 4737/9478 + 1/4739. Factor 3 + 5/2*b + o*b**2.
(b + 2)*(b + 3)/2
Let r = 134 - 179. Let q be (-80)/12*18/r. Factor -2/3 + q*b**3 - 6*b**2 + 4*b.
2*(b - 1)**2*(4*b - 1)/3
Let 286*g - 210*g**2 + 56*g**4 - 48 + 39*g + 20*g**2 - 69*g - 100*g**3 - 94*g**2 = 0. What is g?
-2, 2/7, 1/2, 3
Let h(z) be the third derivative of -2*z**7/735 + 3*z**6/70 - 9*z**5/35 + 9*z**4/14 - 41*z**2. Determine a so that h(a) = 0.
0, 3
Let n(f) = f**3 - f**2 - f + 1. Let r(c) = -3*c**3 + 18*c**2 - 27*c + 12. Suppose -4*x = 5 - 9. Let p(h) = x*r(h) - 2*n(h). Factor p(w).
-5*(w - 2)*(w - 1)**2
Let t(o) be the first derivative of 25 + 0*o + 3/5*o**2 - 1/5*o**3. Determine v, given that t(v) = 0.
0, 2
Let m(r) = -r**2 + 76*r + 408. Let w be m(-5). Let b be 3*(-1)/(-2) + 0. Solve v**2 - v**w - 3/2*v**4 + b*v - 1/2*v**5 + 1/2 = 0.
-1, 1
Suppose -9*s + 8*s = 0. Suppose -22 = -5*f - 3*w, s = 3*f + 3*w + 3 - 21. Factor 5*v**3 + v**f - 2*v**2 - 4*v**3.
v**2*(v - 1)
Solve -2/3*y**4 - 2560*y - 6956/3*y**2 + 238/3*y**3 + 4800 = 0.
-2, 1, 60
Let b(v) be the first derivative of -28*v**5/5 - 16*v**4 - 16*v**3/3 + 50. Suppose b(h) = 0. What is h?
-2, -2/7, 0
Solve 27/4*p**2 - 7/8*p**3 - 7/4 - 33/8*p = 0 for p.
-2/7, 1, 7
Let t(c) be the third derivative of -c**7/336 + c**6/72 + c**3/2 + 11*c**2. Let o(w) be the first derivative of t(w). Factor o(m).
-5*m**2*(m - 2)/2
Suppose 3*q + 385 = 10*q. Let k be -1 + 43/q + (-14)/(-35). Factor -2/11 - k*b**2 - 4/11*b.
-2*(b + 1)**2/11
Suppose 2*z = -4*f + 8 + 2, -f + z = -4. Let u be 2/(-12) - 114/(-252). Factor -u*b**4 + 2/7*b**2 + 2/7*b**f + 0 - 2/7*b.
-2*b*(b - 1)**2*(b + 1)/7
Factor -5*t - 94*t**3 + 26*t - 88*t**3 + 179*t**3 + 18.
-3*(t - 3)*(t + 1)*(t + 2)
Let i(p) be the first derivative of -16*p**5/55 + 14*p**4/11 - 25*p**3/33 + 3*p**2/22 + 106. Find w such that i(w) = 0.
0, 1/4, 3
Let d(g) be the second derivative of 4*g - 3*g**2 + 0 + 5/4*g**4 + 3*g**3. Let t(m) = -m**2 - m + 1. Let r(p) = d(p) + 18*t(p). Determine n so that r(n) = 0.
-2, 2
Solve 2/11*o**3 - 64/11 + 34/11*o**2 + 28/11*o = 0.
-16, -2, 1
Let y(w) = -7*w**2 - 4*w - 9. Let i(v) = -v**2 - 2*v - 1. Let d(s) = -5*i(s) + y(s). Suppose d(p) = 0. What is p?
1, 2
Let g(f) = 10*f**2 - 261*f - 271. Let d(y) = 2*y**2 - 52*y - 54. Let c(s) = 22*d(s) - 4*g(s). Find t, given that c(t) = 0.
-1, 26
Suppose 12*a - 16*a + 96 = 0. Suppose -a*z + 72 = 24. Determine x, given that -20*x**3 - 138/7*x**z - 8/7 - 8*x - 50/7*x**4 = 0.
-1, -2/5
Let -4*r**5 - 90*r**3 + 0*r**5 + 4*r**4 + 181*r**3 - 87*r**3 - 4*r**2 = 0. Calculate r.
-1, 0, 1
Find s, given that -31*s + 43*s + 4*s**2 - 36 - s**2 = 0.
-6, 2
Let z(h) = 2*h**4 + 8*h**3 - 2*h**2 - 3*h + 5. Let q(i) = -6*i**4 - 26*i**3 + 6*i**2 + 10*i - 16. Let n(b) = -5*q(b) - 16*z(b). What is j in n(j) = 0?
-1, 0, 1
Let i(v) = 19*v**2 - 39*v + 174. Let s(y) = 15*y**2 - 40*y + 175. Let b(u) = -5*i(u) + 6*s(u). Find r such that b(r) = 0.
-12, 3
Let w(h) be the second derivative of h**7/7 - 11*h**6/6 + 189*h**5/20 - 49*h**4/2 + 94*h**3/3 - 12*h**2 + 2*h - 362. Factor w(k).
(k - 3)*(k - 2)**3*(6*k - 1)
Let l(i) = -i**2 - i. Let g(q) = -4*q**2 - 6*q + 4. Let c(k) = 5*g(k) - 15*l(k). Let c(x) = 0. What is x?
-4, 1
Let m(q) = -2*q**4 + 9*q**3 - 9*q**2 + 9*q. Let p(n) = -n - 18 + 18 - n**3 + n**2. Let r(o) = 2*m(o) + 18*p(o). Suppose r(d) = 0. What is d?
0
Let t(x) be the first derivative of -6 + 0*x**3 + 0*x - 1/15*x**5 + 1/6*x**4 - 5/2*x**2. Let m(r) be the second derivative of t(r). Solve m(n) = 0.
0, 1
Suppose 0 = -2*m + 1 + 7. Let g(j) = 10*j**2 + 18*j + 4. Let q(z) = z**2 + z. Let f(i) = m*q(i) - g(i). Determine a so that f(a) = 0.
-2, -1/3
Factor 14/9*h**2 - 22/9*h - 2/9*h**3 + 10/9.
-2*(h - 5)*(h - 1)**2/9
Suppose -3*p - 6 + 23 = -2*v, 3*p + 2*v - 13 = 0. Let o(r) be the second derivative of 3*r - 1/9*r**3 + 1/3*r**2 + 1/30*r**p + 0 - 1/18*r**4. Factor o(d).
2*(d - 1)**2*(d + 1)/3
Factor 41*k - 17*k - 10*k - 50 + 4*k**2 - 90 - 22*k.
4*(k - 7)*(k + 5)
Let o = 13660 - 13658. Determine j so that 0 - 3/10*j**3 - 1/10*j**o + 3/10*j + 1/10*j**4 = 0.
-1, 0, 1, 3
Suppose 5*c + 33 = 48. Factor 6/11*m - 4/11 + 0*m**2 - 2/11*m**c.
-2*(m - 1)**2*(m + 2)/11
Factor 3*z**2 + 2*z**2 + 21*z + 40 + 45*z - 16*z - 5*z**3.
-5*(z - 4)*(z + 1)*(z + 2)
Let -245*r**5 - 3815*r**4 + 821*r + 0*r**3 + 1299*r + 3515*r**2 - 1875*r**3 + 300 = 0. Calculate r.
-15, -1, -2/7, 1
Let i(n) be the second derivative of 0 - 5*n - 1/18*n**4 + 4/9*n**3 - n**2. Factor i(w).
-2*(w - 3)*(w - 1)/3
Find l such that -18*l**2 + 39 + 45/2*l - 3/2*l**3 = 0.
-13, -1, 2
Let n = 33 - 29. Factor -5*a**4 + a**n + 4*a**3 + 4*a**3 - 4*a**5.
-4*a**3*(a - 1)*(a + 2)
Let k = -276/107 + 935/321. Suppose 4*g + 12 + k*g**2 = 0. What is g?
-6
Let d(a) = a**3 - 5*a**2 - 7*a + 7. Let c = 15 + -9. Let k be d(c). Find i such that -2*i + 6*i**3 