vative of m**8/504 + m**7/105 + m**6/180 - m**5/30 - m**4/18 - 3*m**2. Determine d, given that w(d) = 0.
-2, -1, 0, 1
Let p(r) = 2*r**5 + 11*r**4 + 14*r**3 - 7*r**2 - 7*r - 5. Let m(v) = 3*v**5 + 12*v**4 + 15*v**3 - 6*v**2 - 6*v - 6. Let o(i) = 5*m(i) - 6*p(i). Factor o(n).
3*n*(n - 2)**2*(n + 1)**2
Suppose 0*k + 5*k = 15. Suppose k*o = 2*o + 3. Factor -o*t - 21/5*t**2 + 6/5.
-3*(t + 1)*(7*t - 2)/5
Let c(q) be the third derivative of 3*q**8/224 - q**7/20 + q**6/24 + q**5/20 - q**4/16 - q**3/12 - 7*q**2. Factor c(g).
(g - 1)**3*(3*g + 1)**2/2
Suppose 0 - 1/9*m**2 - 2/9*m**3 - 1/9*m**4 + 0*m = 0. What is m?
-1, 0
Suppose 5*v + 0*j = j + 13, 0 = -2*v + 3*j + 13. Let -m**3 - 2*m**4 + v*m**2 + 4*m + m - m**3 - 3*m = 0. What is m?
-1, 0, 1
What is g in -156/5*g - 6/5*g**2 - 1014/5 = 0?
-13
Let w(q) = -10*q**3 + q**2 + 28*q + 12. Suppose -3*u = -2*u + 4. Let z(b) = 39*b**3 - 3*b**2 - 111*b - 48. Let a(n) = u*z(n) - 15*w(n). Factor a(k).
-3*(k - 2)*(k + 2)*(2*k + 1)
Factor 5*j**4 - 7*j**4 + 4*j**2 + 2*j**2 + 4*j.
-2*j*(j - 2)*(j + 1)**2
Let b(w) be the first derivative of 4 + 1/8*w**4 - 1/4*w**2 - 1/10*w**5 + 1/6*w**3 + 0*w. Solve b(f) = 0 for f.
-1, 0, 1
Let x(l) be the third derivative of -l**7/210 - l**6/120 + l**5/20 + l**4/24 - l**3/3 + 14*l**2. Factor x(n).
-(n - 1)**2*(n + 1)*(n + 2)
Let f(x) be the third derivative of 0*x - 3/50*x**5 - 1/70*x**7 + 0 + 4/5*x**3 - 17/200*x**6 - 7*x**2 + 1/2*x**4. What is k in f(k) = 0?
-2, -2/5, 1
Suppose 0 - 3/4*h + 1/4*h**2 = 0. What is h?
0, 3
Let o(q) be the second derivative of 0 - 7/3*q**7 + 0*q**3 - 7/5*q**6 - 3*q + 12/5*q**5 - 2/3*q**4 + 0*q**2. Factor o(n).
-2*n**2*(n + 1)*(7*n - 2)**2
Let a be 6/4 + (-9)/(-6). Let r be 3/(-2)*(-32)/72. Factor -2/3*p**2 - 5/3*p**a + 5/3*p + r.
-(p - 1)*(p + 1)*(5*p + 2)/3
Let s(t) be the third derivative of -t**5/210 + t**4/84 + 2*t**3/21 + 5*t**2. Let s(l) = 0. What is l?
-1, 2
Let c(i) be the first derivative of 0*i**3 + 5 + 3*i**2 + 4*i - 1/2*i**4. Find l, given that c(l) = 0.
-1, 2
Solve 12*c**2 + 20*c + 9*c**4 - 12*c**4 + 8 - 4*c**3 - c**4 = 0 for c.
-1, 2
Let k(x) be the third derivative of -1/360*x**6 + 4*x**2 + 0*x**3 + 0*x - 1/90*x**5 + 0*x**4 + 0. Determine p so that k(p) = 0.
-2, 0
Determine d so that 46*d + 3*d**3 - 46*d + 3*d**4 - 3*d**2 + d**5 - 4*d**5 = 0.
-1, 0, 1
Let d = 45 - 41. Let s(c) be the second derivative of -4/5*c**2 + 0 - 1/30*c**d - 2*c - 4/15*c**3. Solve s(h) = 0 for h.
-2
Let s(i) be the third derivative of i**5/12 + i**4/24 + 6*i**2. Let u(r) = 9*r**2 + 3*r. Let k(g) = -5*s(g) + 3*u(g). Let k(h) = 0. What is h?
-2, 0
Let l(c) be the third derivative of 49*c**5/12 - 35*c**4/12 + 5*c**3/6 - 17*c**2. Factor l(d).
5*(7*d - 1)**2
Let d(k) be the third derivative of 1/3*k**3 - 16/105*k**7 - 1/6*k**4 + 0*k + 8/15*k**6 - 2*k**2 - 1/2*k**5 + 0. Suppose d(n) = 0. Calculate n.
-1/4, 1/4, 1
Let s(l) be the first derivative of l**7/2520 - l**5/120 + l**4/36 + 2*l**3 + 4. Let w(h) be the third derivative of s(h). Solve w(t) = 0.
-2, 1
Let k = -137/3 - -46. Let p(s) be the first derivative of -1/3*s - 1/9*s**3 + 2 + k*s**2. Factor p(w).
-(w - 1)**2/3
Let s(c) be the first derivative of -10*c**3/9 + 2*c**2/3 + 2*c - 4. Let s(n) = 0. What is n?
-3/5, 1
Let a(b) be the first derivative of 3*b**5/25 + 3*b**4/10 - b**3/5 - 3*b**2/5 + 11. Factor a(c).
3*c*(c - 1)*(c + 1)*(c + 2)/5
Let p = -4/111 - -563/222. Find v, given that 0*v + 0 - p*v**3 + v**2 = 0.
0, 2/5
Suppose 5*n - 37 = -22. Let b(g) be the first derivative of -2/25*g**5 - 4/5*g**2 - 4/5*g**3 + n - 2/5*g - 2/5*g**4. Determine i so that b(i) = 0.
-1
Let l be -3 - (3/15 + (-32)/10). Let 2/3*t**3 + 0*t - 2/3*t**2 + l = 0. Calculate t.
0, 1
Let i(k) = -8*k**4 + 21*k**3 - 8*k**2 - 5. Let z(u) = 4*u**4 - 10*u**3 + 4*u**2 + 2. Let v(d) = -2*i(d) - 5*z(d). Determine b so that v(b) = 0.
0, 1
Suppose 5*q - 4*z = 19 + 6, q - 5 = 5*z. Suppose -160*t**2 + 4*t**3 + 168*t**2 - t + q*t = 0. What is t?
-1, 0
Suppose -4*b + 13 = -7. Factor -b*f**5 - 2*f**3 + 4*f**5 + 3*f**5.
2*f**3*(f - 1)*(f + 1)
Let g be (-2)/(-13) + 296/104. Let s(r) be the first derivative of -1/2*r**2 - 1 + 1/3*r**g - 2*r. Factor s(w).
(w - 2)*(w + 1)
Let l = 827/14448 + -7/129. Let o(w) be the third derivative of 0 + 0*w**4 - 2*w**2 + 0*w**3 + 0*w - 1/60*w**5 + 1/210*w**7 - 1/120*w**6 + l*w**8. Factor o(m).
m**2*(m - 1)*(m + 1)**2
Let q(z) be the first derivative of 2*z**6 + 3*z**5/5 - 8. Factor q(f).
3*f**4*(4*f + 1)
Let b(o) be the first derivative of -2/5*o**5 + 0*o**2 + 0*o**3 - 1/2*o**4 + 2 + 0*o. Determine v, given that b(v) = 0.
-1, 0
Let b(d) be the second derivative of -d**7/735 + d**5/105 - d**3/21 + 3*d**2/2 - 2*d. Let m(f) be the first derivative of b(f). Let m(l) = 0. What is l?
-1, 1
Let p(k) be the third derivative of k**7/385 - k**6/110 + k**4/22 - k**3/11 - 20*k**2. Suppose p(s) = 0. Calculate s.
-1, 1
Let t(i) = -6*i**4 + 5*i**3 + 9*i**2 - 8*i. Let u(j) = j**4 - j**3 - j**2 + j. Let k(h) = -5*t(h) - 40*u(h). Factor k(v).
-5*v**2*(v - 1)*(2*v - 1)
Let r be (-1)/(-1 - 2/(-4)). Suppose r*f + 6 = 4*f. Factor -2*h**f - 4*h**2 + 2*h - 12*h**3 - 15*h**4 + 7*h**4.
-2*h*(h + 1)**2*(4*h - 1)
Let k(n) be the first derivative of -2*n**5/105 - n**4/42 + 2*n**3/63 + n**2/21 - 25. Factor k(c).
-2*c*(c - 1)*(c + 1)**2/21
Suppose q - 4*q - 267 = -4*b, 0 = -3*q - 15. Let j = b - 251/4. Solve -j*c**2 - 1/2*c - 1/4 = 0.
-1
Let c(y) be the first derivative of -6/5*y**5 + 4/3*y**3 + 0*y**2 + 1 + 0*y + 1/2*y**4. Let c(k) = 0. Calculate k.
-2/3, 0, 1
Let p(t) = 3*t**5 - t**4 + 4*t**3 - 4*t + 4. Let f(z) = 3*z**5 - 2*z**4 + 5*z**3 - 5*z + 5. Let b(o) = -4*f(o) + 5*p(o). Factor b(w).
3*w**4*(w + 1)
Suppose -4 - 36 = 4*o. Let r be (-44)/(-60) + 4/o. Factor -1/6 + 1/3*h**2 - r*h**3 - 1/6*h**4 + 1/6*h**5 + 1/6*h.
(h - 1)**3*(h + 1)**2/6
Let r be (-4)/2*(-1 - 0). Let q(n) be the first derivative of 5/2*n**r + 1 + n**3 + 2*n - 1/5*n**5 - 1/4*n**4. Suppose q(j) = 0. What is j?
-1, 2
Let t be 55/11 - (0 - 2/(-1)). Let j(i) be the second derivative of 0 - 1/9*i**2 - 1/54*i**4 - 3*i + 2/27*i**t. Let j(s) = 0. What is s?
1
Let u(s) be the third derivative of -s**9/25200 - s**8/11200 + s**7/4200 + s**6/1200 + s**4/24 - 3*s**2. Let j(t) be the second derivative of u(t). Factor j(n).
-3*n*(n - 1)*(n + 1)**2/5
Let w(h) = 2*h**2. Let r(x) = -3*x**2 - x. Let c(j) = 3*r(j) + 5*w(j). Find v such that c(v) = 0.
0, 3
Let t(m) be the third derivative of -m**7/315 + m**6/45 - m**5/18 + m**4/18 + 4*m**2. Find x, given that t(x) = 0.
0, 1, 2
Factor -2/3*x**2 + 0 - 8/3*x.
-2*x*(x + 4)/3
Let z = -13 - -17. Suppose -z*g + 2 = -6. Factor -88/7*u**g + 16/7*u - 50/7*u**4 + 0 + 20*u**3.
-2*u*(u - 2)*(5*u - 2)**2/7
Suppose -3 - 5 = -2*z. Let n be 1 - z*3/12. Factor 5/4*a**5 - 1/2*a**3 - 3/4*a**4 + 0*a**2 + n + 0*a.
a**3*(a - 1)*(5*a + 2)/4
Let c(f) be the third derivative of f**5/300 + f**4/120 + 14*f**2. Find i, given that c(i) = 0.
-1, 0
Let f(u) be the second derivative of u**8/30240 + u**7/2268 + u**6/405 + u**5/135 + u**4/2 - 6*u. Let s(z) be the third derivative of f(z). Factor s(d).
2*(d + 1)*(d + 2)**2/9
Let b(m) = m - 1. Let j be b(7). Let a be j/(-4)*(-32)/108. Factor -a - 32/9*q**2 - 22/9*q - 14/9*q**3.
-2*(q + 1)**2*(7*q + 2)/9
Let z = 3 + 1. Suppose 0 = -2*l - 0*l + z. Factor l*f**5 - 3*f**3 - 6*f**4 - 2*f**2 + 6*f**3 + 3*f**3.
2*f**2*(f - 1)**3
What is n in 9*n**2 + 2 - n**4 + 3*n**3 - n - 2*n - 10*n**2 = 0?
-1, 1, 2
Let a(p) = p**2 - 37*p + 162. Let r be a(32). Suppose 0 + 2/5*q + 1/5*q**r = 0. What is q?
-2, 0
Let r(i) = -14*i**2 + 6*i - 4. Let t(w) = w**2. Suppose -3*o = 50 - 14. Let j(z) = o*t(z) - r(z). Determine n so that j(n) = 0.
1, 2
Let j = 63 + -59. Find l, given that 12/7*l**2 + 9/7*l**5 - l**3 - 18/7*l**j + 0 + 4/7*l = 0.
-2/3, -1/3, 0, 1, 2
Factor -c**3 - 1/2 + 1/2*c + c**2 - 1/2*c**4 + 1/2*c**5.
(c - 1)**3*(c + 1)**2/2
Let m(b) be the second derivative of -5*b**6/12 + 3*b**5/8 + 3*b**4/8 + b**3/12 - 2*b. Let m(v) = 0. What is v?
-1/5, 0, 1
Suppose 4*r - 5*r = 4*t - 20, 5*t - 8 = 3*r. Let f be (-7)/2*r/(-7). Factor 1/4*p**f + 0*p + 0 + 1/4*p**3.
p**2*(p + 1)/4
Suppose 5*n - 20 = 0, -12 = 2*r - 5*n + 8. Let s(v) be the second derivative of -2*v + 0 - 1/36*v**3 + r*v**2 - 1/72*v**4. Solve s(h) = 0 for h.
-1, 0
Let l(r) = -r + 2. Let q be l(-5). Let y = 1