= 0.
-1, 0, 1, 2
Let b = -2/7479 - -15140/680589. Let f = 87/182 + b. Factor 3/2*q**2 + 1/2*q**3 + f + 3/2*q.
(q + 1)**3/2
Let m(p) be the second derivative of 1/63*p**7 + 1/10*p**5 + 1/27*p**4 + 0 - 10*p + 2/27*p**6 + 0*p**3 + 0*p**2. Let m(d) = 0. What is d?
-2, -1, -1/3, 0
Let n(b) = -9*b + 5*b**3 + 2*b**2 + 0*b**3 + 3 - 8 + 4*b. Let j(o) = 9*o**3 + 4*o**2 - 9*o - 9. Let v(c) = -3*j(c) + 5*n(c). Factor v(r).
-2*(r - 1)*(r + 1)**2
Let z = -69583/5 + 13858. Let i = z - -59. Factor 2/5*g**2 - 2/5 - 2/5*g**3 + i*g.
-2*(g - 1)**2*(g + 1)/5
Let h(j) = -74*j**3 - 262*j**2 + 402*j - 82. Let b(x) = 25*x**3 + 88*x**2 - 134*x + 27. Let r(w) = 8*b(w) + 3*h(w). What is s in r(s) = 0?
-5, 3/11, 1
Let l = -3759 + 26315/7. Suppose -d + 1/7*d**4 - 5/7*d**3 + l + 9/7*d**2 = 0. What is d?
1, 2
Let l = -193 - -114. Let v = -77 - l. Determine r so that -9/2*r**4 + v*r**2 + 0*r - 2*r**3 + 9/2*r**5 + 0 = 0.
-2/3, 0, 2/3, 1
Let x(j) be the second derivative of -j**4/48 + 11*j**3/24 + 13*j**2/4 - 238*j. Factor x(b).
-(b - 13)*(b + 2)/4
Let k(m) be the second derivative of 25*m**2 - 1/16*m**5 - 18*m - 49/24*m**4 + 0 - 115/6*m**3. Factor k(p).
-(p + 10)**2*(5*p - 2)/4
Let n(h) be the second derivative of h**4/66 + 3*h**3/11 + 8*h**2/11 + h - 84. Factor n(v).
2*(v + 1)*(v + 8)/11
Let t(b) = -4*b**2 - 75*b - 131. Let p(x) = x + 1. Let v(f) = -3*p(f) - t(f). Factor v(i).
4*(i + 2)*(i + 16)
Let m(k) be the third derivative of -k**8/672 - k**7/84 + k**6/40 + 3*k**2 + 28. Suppose m(t) = 0. Calculate t.
-6, 0, 1
Let r(x) = -x**3 + 8*x**2 - 4*x. Let d(b) = 0 + 5*b - 45*b**3 - 1 - 8*b**2 + 46*b**3 + b**2. Let u(i) = -6*d(i) - 4*r(i). Let u(j) = 0. Calculate j.
1, 3
Let a(w) be the first derivative of -2*w**5/125 - w**4/50 + 2*w**3/75 + w**2/25 - 128. Suppose a(x) = 0. What is x?
-1, 0, 1
Let o = -51 + 53. Factor 10*i**3 + 40*i + 5 - 12 - 8*i**2 - 8 - 27*i**o.
5*(i - 1)**2*(2*i - 3)
Suppose -13*q**3 - 40 - 92*q + 3/5*q**4 + 398/5*q**2 = 0. Calculate q.
-1/3, 2, 10
Let t = 104 - 101. Suppose 9 = 4*g + 1. Let -g*c**3 + 54*c - 1 - 2*c**t - 8*c**2 - 59*c + 0 = 0. What is c?
-1, -1/2
Let n(h) be the first derivative of 2*h**7/21 - h**6/6 + h**5/12 + h**2 + 4. Let l(k) be the second derivative of n(k). Factor l(d).
5*d**2*(2*d - 1)**2
Let g(w) be the third derivative of 15*w**8/112 - 31*w**7/14 - 77*w**6/24 + 39*w**5/4 + 10*w**4 - 110*w**3/3 + 169*w**2 - 2. Solve g(v) = 0.
-1, 2/3, 11
Let q(z) be the second derivative of -z**5/2 + 32*z**4/3 - 47*z**3/3 - 12*z**2 - 8*z. Factor q(h).
-2*(h - 12)*(h - 1)*(5*h + 1)
Let v be (63/(-35))/((-5)/1). Let n = v - -6/25. What is w in 3/5*w**5 - 9/5*w**3 + 6/5*w + 0 - 3/5*w**4 + n*w**2 = 0?
-1, 0, 1, 2
Let f(i) = -15*i**3 - 55*i**2 + 40*i + 55. Let w(h) = -2*h**3 - 7*h**2 + 5*h + 7. Let m(r) = -3*f(r) + 25*w(r). Suppose m(x) = 0. What is x?
-2, -1, 1
Let r(x) = -2*x**2 + 78*x - 76. Let m(p) = 4*p**2 - 156*p + 152. Let o(b) = 2*m(b) + 5*r(b). Factor o(v).
-2*(v - 38)*(v - 1)
Let j = 2944/10255 - 2/1465. Find o such that -10/7*o - j*o**3 - 4/7 - 8/7*o**2 = 0.
-2, -1
Let u(f) be the first derivative of f**3/21 + 9*f**2/14 + 2*f - 666. Factor u(p).
(p + 2)*(p + 7)/7
Let 3*p**2 + 14 - 3*p**3 + 46 - 26*p + 98*p + 48 = 0. What is p?
-3, -2, 6
Let s(l) = 0 + 2 + 15 - 7*l**2 - 2*l + l**3. Let r be s(7). Determine h, given that 24/7*h + 16/7 + 2/7*h**r + 12/7*h**2 = 0.
-2
Let j = -167 + 172. Let l(g) be the second derivative of 1/10*g**6 + 0*g**3 + 0*g**2 + 3/20*g**5 + 0 + 1/42*g**7 + j*g + 1/12*g**4. Find y, given that l(y) = 0.
-1, 0
Let s(z) = z**2 - 2*z + 4*z + 17 - 3*z - 11. Let n be s(0). Factor -12 - 10*l - 9*l**2 - n*l - 7*l - l.
-3*(l + 2)*(3*l + 2)
Suppose 10*k + 7 + 0*k - k**2 - 3 - 7*k = 0. Calculate k.
-1, 4
Let h(o) be the first derivative of o**7/189 - 2*o**6/135 - o**5/30 + 2*o**4/27 + 4*o**3/27 - 20*o - 25. Let k(s) be the first derivative of h(s). Factor k(a).
2*a*(a - 2)**2*(a + 1)**2/9
Find m, given that -26/5*m + 4 + 4/5*m**2 + 2/5*m**3 = 0.
-5, 1, 2
Let g(y) = -14*y**4 + 17*y**3 + 9*y**2 - 16*y - 8. Let c(b) = b**4 + b**3 - b**2 + b + 1. Let r(x) = -20*c(x) - 5*g(x). Solve r(j) = 0 for j.
-1/2, -2/5, 1, 2
Let d = 7 - 5. Let h(t) = 7*t**4 - 2*t**3 - 4*t**2. Let o(m) = -3*m**4 + m**3 + 2*m**2. Suppose 0 = -4*f + 9 + 11. Let x(u) = d*h(u) + f*o(u). Factor x(l).
-l**2*(l - 2)*(l + 1)
Let i(x) be the third derivative of -x**6/420 - 11*x**5/210 + 25*x**4/84 - 13*x**3/21 - 22*x**2. Factor i(z).
-2*(z - 1)**2*(z + 13)/7
Let w(c) be the third derivative of 7/40*c**6 - c**3 + 1/14*c**7 + 10*c**2 + 0 - 3/20*c**5 + 0*c - 7/8*c**4. Solve w(i) = 0 for i.
-1, -2/5, 1
Let k = 64 - 318/5. Suppose 4*y + 2*j - 5 = 9, -2*y + j + 1 = 0. Factor 0*o**y - k*o + 2/5*o**3 + 1/5*o**4 - 1/5.
(o - 1)*(o + 1)**3/5
Let x = -6 - -10. Suppose -6*a + 5*a + x = 0. Solve 2*l - a*l + 3 + 0*l - l**2 = 0 for l.
-3, 1
Suppose 0 = 2*i + 8, 2*k - 2*i - 22 = i. Let h(f) be the second derivative of 5/9*f**3 + 4*f + 0 + 1/90*f**k - f**2 - 7/54*f**4. Factor h(p).
2*(p - 3)**2*(p - 1)/9
Let i be (-1)/((3 - 4)/(-1 - -3)). Let 2 - i - 2*n**2 + 4 - 2*n + 0 = 0. What is n?
-2, 1
Let n(d) = 2*d**3 - d**2 - 2. Let a be n(2). Let f be 12/8 + 15/a. Factor 0*v**f + 0*v + 1/2*v**4 - 1/2*v**2 + 0.
v**2*(v - 1)*(v + 1)/2
Let a(l) be the first derivative of -l**6/2 - 3*l**5 - 9*l**4/2 + 4*l**3 + 12*l**2 + 346. Factor a(i).
-3*i*(i - 1)*(i + 2)**3
Suppose -41 - 44*b + 4 - 8 + 5*b**2 + 4*b = 0. What is b?
-1, 9
Let b(t) = t**2 + 3*t - 1. Let m(o) = -245*o**4 - 105*o**3 + 1583*o**2 - 881*o + 127. Let d(r) = 7*b(r) + m(r). Solve d(g) = 0.
-3, 2/7, 2
Let l(j) = 28*j**3 + 48*j**2 + 28*j + 22. Let s(d) = -d - 3 + 9*d**3 - 7*d**2 - 13*d**3 - 3*d. Let z(q) = -6*l(q) - 44*s(q). Factor z(t).
4*t*(t + 2)*(2*t + 1)
Factor -s - 4/3 + 1/3*s**2.
(s - 4)*(s + 1)/3
Factor 0*p + 0 - 2*p**3 + 2/3*p**4 - 20/3*p**2.
2*p**2*(p - 5)*(p + 2)/3
Let s(p) be the second derivative of -3*p**5/50 - 2*p**4/15 + 13*p**3/15 - 6*p**2/5 + p - 5. Solve s(x) = 0 for x.
-3, 2/3, 1
Solve -8/5*h**4 - 8/5*h**3 + 0 + 6/5*h**5 + 0*h + 0*h**2 = 0 for h.
-2/3, 0, 2
Find a, given that 30 - 8/3*a**2 - 176/3*a = 0.
-45/2, 1/2
Let o(l) = 3*l**3 - 19*l**2 - 54*l - 2. Let s(p) = -2*p**3 - p**2 + 1. Let c(x) = -o(x) - 2*s(x). Factor c(a).
a*(a + 3)*(a + 18)
Find z, given that -28480*z + 2112 - 1085*z**4 - 1778*z**4 - 1041*z**4 + 833*z**4 + 127872*z**2 + 155*z**4 - 190512*z**3 = 0.
-66, 2/9
Let q = -2345 - -2351. Find c such that -8*c - 110/7*c**2 - 8/7 - q*c**3 = 0.
-2, -1/3, -2/7
Let x be ((-26)/(-10))/(3/15). Suppose 5*m = -19 + 69. Find a, given that -a - x*a + 2*a - a**3 + m - 18 - 6*a**2 = 0.
-2
Let t(l) be the second derivative of -l**6/150 + 2*l**5/25 - 19*l**4/60 + 2*l**3/5 - 20*l - 3. Suppose t(j) = 0. What is j?
0, 1, 3, 4
Suppose 89*s - 170 = 4*s. Suppose -4*g = 20, -4*x - 3*g + 1 = 4. Solve 2/3*z**s - 26/9*z**x - 8/9 + 8/9*z**4 + 32/9*z = 0.
-1, 1/4, 2
Let u(b) = -b**2 - 6*b - 6. Let l be ((-4)/5)/(7/35). Let c be u(l). Solve 21*r**4 - c*r - 36*r**3 - 18*r**2 + 8*r + 27*r**2 = 0.
-2/7, 0, 1
Let n be (-2)/(-12) + (-2)/(36/(-69)). Let o be (n/(-30))/((-22)/10 - -2). Factor 0 + 0*m - 7/3*m**3 - 5/3*m**4 - o*m**2.
-m**2*(m + 1)*(5*m + 2)/3
Let l(o) be the first derivative of -18*o**5/35 + 6*o**4 + 316*o**3/21 + 76*o**2/7 + 22*o/7 + 343. Let l(n) = 0. What is n?
-1, -1/3, 11
Let y(p) be the second derivative of 5/14*p**2 - 1/84*p**4 + 5*p + 0 + 2/21*p**3. Factor y(b).
-(b - 5)*(b + 1)/7
Let b(t) be the second derivative of 38*t + 0*t**2 - 3/70*t**5 + 1/10*t**6 + 0 - 1/28*t**4 + 0*t**3 - 2/49*t**7. Suppose b(m) = 0. What is m?
-1/4, 0, 1
Let n(u) be the first derivative of u**5/70 + u**4/21 + 5*u + 5. Let i(t) be the first derivative of n(t). What is c in i(c) = 0?
-2, 0
Let u(y) = -8*y**3 - 32*y**2 - 55*y - 22. Let d(q) = -15*q**3 - 65*q**2 - 110*q - 45. Let b(m) = 3*d(m) - 5*u(m). Solve b(w) = 0 for w.
-5, -1
Let h(g) be the first derivative of g**7/84 + g**6/16 - 3*g**5/8 + 25*g**4/48 + 13*g**2 - 22. Let n(r) be the second derivative of h(r). Factor n(m).
5*m*(m - 1)**2*(m + 5)/2
Let v(u) be the first derivative of 14 - 5/2*u - 5/2*u**2 + 10*u**3 + 5/2*u**5 - 35/4*u**4. Suppose v(h) = 0. What is h?
-1/5, 1
Let l(j) be the third derivative of j**6/540 + j**5/135 - 31*j**4/108 + 28*j**3/27 - 65*j**2. Suppose l(h) = 0. Calculate h.
-