 - 18*z**2 - 30*z - 22*z**5 = 0 for z.
-2, -1/3, 0, 1/2, 3
Suppose 14*p**2 + 18 - 12 - 20 + 16*p - 18 + 2*p**3 = 0. What is p?
-4, 1
Let a(b) be the first derivative of 9*b**5/55 + b**4/22 - 3*b**3/11 - b**2/11 - 27. Solve a(s) = 0.
-1, -2/9, 0, 1
Let i(n) = 7*n**5 - 3*n**3 - 9*n**2 + 11*n + 9. Suppose -2 + 18 = 4*s. Let f(q) = 3*q**5 - 2*q**3 - 4*q**2 + 5*q + 4. Let p(t) = s*i(t) - 10*f(t). Factor p(m).
-2*(m - 2)*(m - 1)*(m + 1)**3
Let h(u) = -u**2 + 8*u - 6. Let r be h(7). Factor 8*a**3 - 6*a**2 + r + a**3 - 1.
3*a**2*(3*a - 2)
Let k(d) be the third derivative of -1/192*d**4 + 1/480*d**5 + 0 + 0*d + 4*d**2 - 1/24*d**3. Factor k(m).
(m - 2)*(m + 1)/8
Let g(u) = 3*u**2 + 2*u + 1. Let v be g(-1). Find n such that -27/2*n**3 + 3*n**v - 3 + 27/2*n = 0.
-1, 2/9, 1
Let d(n) = -n**2 - n. Let u(h) = -20*h**2 - 26*h - 6. Let p(z) = -36*d(z) + 2*u(z). Determine f so that p(f) = 0.
-3, -1
Let q(z) be the first derivative of -2*z**5/5 + 10*z**3/3 - 8*z + 4. Find n, given that q(n) = 0.
-2, -1, 1, 2
Let y(b) be the third derivative of 3*b**8/448 + b**7/140 - 9*b**6/160 - 3*b**5/20 - b**4/8 + 7*b**2. What is q in y(q) = 0?
-1, -2/3, 0, 2
Let t be (-14)/(-30)*(-32 + 5). Let f = t - -13. What is c in -12/5*c**2 - f*c**3 - 16/5 - 24/5*c = 0?
-2
Factor 2/9*t**5 + 0*t + 2/3*t**4 + 2/3*t**3 + 0 + 2/9*t**2.
2*t**2*(t + 1)**3/9
Let b(j) be the first derivative of 2*j**3/15 - 7*j**2/5 - 16*j/5 - 11. Factor b(t).
2*(t - 8)*(t + 1)/5
Let r(d) be the first derivative of -10*d**3/21 - 12*d**2/7 - 8*d/7 - 1. Factor r(c).
-2*(c + 2)*(5*c + 2)/7
What is r in 0 + 0*r - 2*r**5 + 0*r**2 - 1/2*r**3 + 2*r**4 = 0?
0, 1/2
Let p(j) be the second derivative of 4*j**6/255 - j**5/10 + 10*j**4/51 - 4*j**3/51 - 4*j. Factor p(y).
2*y*(y - 2)**2*(4*y - 1)/17
Factor -2/5*s**3 - 2*s - 8/5*s**2 - 4/5.
-2*(s + 1)**2*(s + 2)/5
Let s(j) be the third derivative of j**7/180 + j**6/1080 - j**5/90 + j**4/12 + 4*j**2. Let h(n) be the second derivative of s(n). Factor h(v).
2*(3*v + 1)*(7*v - 2)/3
Suppose d - 8*b - 18 = -3*b, -3 = -5*d - 4*b. Solve 1/5*k + 1/5 - 1/5*k**2 - 1/5*k**d = 0.
-1, 1
Let 0*b**2 - 1/4*b + 1/4*b**3 + 0 = 0. What is b?
-1, 0, 1
Let i(u) be the third derivative of u**5/24 - u**4/6 + u**3/4 + 8*u**2. Let i(b) = 0. What is b?
3/5, 1
Let o(b) be the first derivative of -2/55*b**5 + 0*b**3 - 2/11*b**2 + 2/11*b + 1/11*b**4 + 1. Suppose o(u) = 0. What is u?
-1, 1
Determine q so that -1 - 4*q**4 + 3/2*q + 0*q**3 - 3/2*q**5 + 5*q**2 = 0.
-2, -1, 1/3, 1
Let o(n) = 7*n**4 + 9*n**3 + 5*n**2 - 9*n - 2. Let d(z) = 4*z**4 + 5*z**3 + 3*z**2 - 5*z - 1. Let v(t) = 5*d(t) - 3*o(t). Determine m so that v(m) = 0.
-1, 1
Let 0 + 32*a**2 - 128/3*a + 2/3*a**4 - 8*a**3 = 0. What is a?
0, 4
Let o = 142 - 140. Let w(h) be the first derivative of 0*h + 0*h**3 + 1/5*h**5 + 1/2*h**4 + 3 + 0*h**o. Determine l, given that w(l) = 0.
-2, 0
Let p be 3/(-4 + 3 - -2). Factor -2*c**5 + 4*c**2 - 8*c**4 + 2*c**p - 3*c**3 - 5*c**3 + 4 - 2*c**3 + 10*c.
-2*(c - 1)*(c + 1)**3*(c + 2)
Let d(y) be the second derivative of 5*y**4/12 - 25*y**3/6 + 15*y**2 - 21*y. Factor d(x).
5*(x - 3)*(x - 2)
Let o = 557/4290 + 1/286. Let a(n) be the second derivative of -1/5*n**2 + 1/75*n**6 + 0 - o*n**3 + n + 1/25*n**5 + 0*n**4. Factor a(j).
2*(j - 1)*(j + 1)**3/5
Let g(s) = 4*s**2 - 49*s + 49. Let n(c) = c**2 - 10*c + 10. Let l(b) = 2*g(b) - 11*n(b). Let l(o) = 0. What is o?
2
Let s(z) = z + 3 - 3*z + z - 2*z**2. Let a(d) = d**2 - 2. Let t be (-3)/(1*3/(-2)). Let v(q) = t*s(q) + 3*a(q). Determine j, given that v(j) = 0.
-2, 0
Let y be ((-1)/1 + 3)/((-72)/(-27)). Suppose u + 0 = -2*g - 3, 4*u = 2*g + 18. Factor 0*n**2 + 0 - 3/4*n**4 + 0*n**u + 0*n + y*n**5.
3*n**4*(n - 1)/4
Let k(p) be the second derivative of -p**6/45 - p**5/5 - 13*p**4/18 - 4*p**3/3 - 4*p**2/3 - 11*p. Factor k(v).
-2*(v + 1)**2*(v + 2)**2/3
Let l(z) = 2*z**3 + z - 1. Let p be l(1). Factor 0*i**3 - i**4 + i**2 - 2*i**3 + p*i**3.
-i**2*(i - 1)*(i + 1)
Let a be (-8)/(-32)*(6 + -6). Suppose 0 - 16/3*z**4 + a*z - 32/9*z**5 - 2*z**3 - 2/9*z**2 = 0. What is z?
-1, -1/4, 0
Factor -14/9*j**3 + 16/9*j**4 + 0 + 0*j + 4/9*j**2 - 2/3*j**5.
-2*j**2*(j - 1)**2*(3*j - 2)/9
Let f(j) = -j**3 - j**2 - 6*j + 4. Let q be f(-5). Let b = q + -936/7. Factor -2/7*c**3 + b*c**2 + 0 + 0*c.
-2*c**2*(c - 1)/7
Let s(n) be the third derivative of -n**6/30 - 10*n**2. Find x such that s(x) = 0.
0
Let x(k) be the second derivative of 8*k**6/75 - 37*k**5/25 + 39*k**4/5 - 18*k**3 + 54*k**2/5 + 10*k. Determine h, given that x(h) = 0.
1/4, 3
Let i(z) be the second derivative of -z + 11/12*z**4 + 0 - 3/10*z**5 + 2/3*z**3 - 3/10*z**6 - 2*z**2. Determine c, given that i(c) = 0.
-1, 2/3
Let h(w) = w + 3. Let r be h(0). Factor -2 - 1 - 4*a - r*a**2 - 2*a.
-3*(a + 1)**2
Let v(j) be the second derivative of j**7/336 + j**6/60 - j**5/160 - j**4/24 + 5*j. Suppose v(t) = 0. Calculate t.
-4, -1, 0, 1
Let c(u) = -u + 6. Let h be c(2). Let g(m) be the third derivative of 1/420*m**6 + 0*m**3 + 0 + 0*m + m**2 - 1/105*m**5 + 1/84*m**h. Let g(n) = 0. What is n?
0, 1
Suppose n + 2*n - 15 = 0. Suppose -5 - n = -5*z. Let 1/2 + z*p**3 + 3*p + 9/2*p**2 = 0. Calculate p.
-1, -1/4
Let g(h) be the third derivative of h**6/480 + h**5/240 + 9*h**2. Factor g(v).
v**2*(v + 1)/4
Let m(h) be the second derivative of -h**6/180 - h**5/60 - h**3/6 - 3*h. Let o(y) be the second derivative of m(y). Factor o(c).
-2*c*(c + 1)
Factor 2*t**3 + 1/3*t**5 - 4/3*t**2 + 0 - 4/3*t**4 + 1/3*t.
t*(t - 1)**4/3
Suppose 0 = -i + 5*l - 0*l + 23, 5*l - 5 = 0. Let b be 15/i - 16/56. Find u such that 0*u + 0 + 1/2*u**3 + 1/4*u**2 + b*u**4 = 0.
-1, 0
Let l(p) be the first derivative of -1/3*p**3 - 2*p**2 - 3*p + 3. Determine k, given that l(k) = 0.
-3, -1
Let l(r) be the second derivative of r**9/4536 - r**7/1260 - r**3/3 + 2*r. Let q(s) be the second derivative of l(s). Find v such that q(v) = 0.
-1, 0, 1
Let o(z) be the third derivative of z**7/70 - z**6/10 + z**5/4 - z**4/4 - 2*z**2 - 6*z. Factor o(c).
3*c*(c - 2)*(c - 1)**2
Let a(l) = 4*l**4 - 20*l**3 - 36*l**2 - 4*l - 8. Let g(k) = 9 + 2*k**3 - 2*k**3 + k**4 + k - k**2 - 10. Let p(u) = -a(u) + 8*g(u). Find i such that p(i) = 0.
-3, -1, 0
Let d be (-6)/117*(-3 - 6). Factor 2/13*u + d*u**3 + 0 - 2/13*u**4 - 6/13*u**2.
-2*u*(u - 1)**3/13
Let p = 686 - 54879/80. Let w(t) be the second derivative of 0 + 0*t**3 + 0*t**2 - t - p*t**5 + 1/48*t**4. What is v in w(v) = 0?
0, 1
Suppose 38*p - 3 = 37*p. Determine h so that -1/3*h**p - 5/3*h**2 - 8/3*h - 4/3 = 0.
-2, -1
Suppose 0 = -4*m - 4*f + 12, 3*f - 5 = -4*m + 9. Suppose 0 = -m*a + 105 + 25. Determine u so that 18*u**2 + 12*u**4 + 4*u**3 - 4*u**3 - a*u**3 - 4*u = 0.
0, 1/2, 2/3, 1
Determine r so that 2/3*r**3 + 2/3*r**2 + 1/6*r**4 + 0 + 0*r = 0.
-2, 0
Let y(q) be the first derivative of 0*q + 0*q**3 + 0*q**5 + 0*q**2 + 1/12*q**6 - 1/8*q**4 + 3. Let y(p) = 0. What is p?
-1, 0, 1
Let d be (-2)/(-8)*(-46)/1863. Let m = 331/1134 + d. Factor 0 - 2/7*v**3 + 2/7*v - m*v**2 + 2/7*v**4.
2*v*(v - 1)**2*(v + 1)/7
Let h(c) be the first derivative of -4 - c**2 - 1/3*c**3 + 0*c. What is x in h(x) = 0?
-2, 0
Suppose -4/7*i**2 + 0 - 10/7*i**3 - 6/7*i**4 + 0*i = 0. Calculate i.
-1, -2/3, 0
Let d(j) be the third derivative of j**5/45 + j**4/18 - 4*j**3/3 - 41*j**2. Factor d(m).
4*(m - 2)*(m + 3)/3
Let r = -261 - -35237/135. Let k(l) be the third derivative of -3*l**2 - 1/108*l**4 + r*l**5 + 0 + 0*l - 1/180*l**6 + 0*l**3. Factor k(o).
-2*o*(o - 1)*(3*o - 1)/9
Let m = 8 + -4. Factor m*j**3 - 2*j**4 - 3*j**3 + 4*j**4 - j**5 - 2*j**3.
-j**3*(j - 1)**2
Let d(k) be the second derivative of -2*k**4/3 - 2*k**3/3 + 6*k. Factor d(x).
-4*x*(2*x + 1)
Suppose -5*m + 6 = 4*k - 3*m, -4*m = 3*k - 2. Suppose 10 = -k*q, -o + 0*o = q. What is v in 2*v**2 - 6*v**o + 23*v - 2*v**4 + 6*v**3 - 23*v = 0?
-1, -1/3, 0, 1
Let a(w) = 2*w**3 - 3*w**2 + 3*w. Let f(i) = -6*i**3 + 8*i**2 - 8*i. Let x(t) = 8*a(t) + 3*f(t). Factor x(h).
-2*h**3
Let u(v) = -5*v**2 - 7*v + 3. Let t(f) = 11*f**2 + 15*f - 7. Let a be 8 + (1 - 9)/4. Let j(k) = a*t(k) + 14*u(k). Let j(h) = 0. Calculate h.
-2, 0
Let k(s) be the third derivative of 1/60*s**6 - 1/30*s**5 + 0*s + 0 - 1/12*s**4 + 3*s**2 + 1/105*s**7 + 0*s**3. Factor k(y).
2*y*(y - 1)*(y + 1)**2
Let m(f) be the second derivative of -3*f**5/140 + f**3/14 - 5*f. Let m(b) =