*a**2 + a - 1.
-(a - 2)**2/4
Let t(j) = 8*j**2 + 12*j. Let h(d) = 9*d**2 + 13*d - 1. Let f(x) = -4*h(x) + 5*t(x). Determine l, given that f(l) = 0.
-1
Let x(p) = 9*p**2 + 3*p. Let f be x(-2). Let n be 5*(34/f - 1). Factor -n*r**3 - 2/3*r + 0 + 4/3*r**2.
-2*r*(r - 1)**2/3
Let r(k) be the third derivative of -k**5/160 - k**4/32 + 3*k**3/16 + 22*k**2. Determine x, given that r(x) = 0.
-3, 1
Let z = -286 + 1438/5. Find p such that -4/5*p**4 + 4/5*p**3 - 2/5*p - 2/5*p**5 - 4/5 + z*p**2 = 0.
-2, -1, 1
Let v(y) be the first derivative of -y**4/16 + y**3/12 + 5*y**2/8 + 3*y/4 - 2. Factor v(k).
-(k - 3)*(k + 1)**2/4
Let i(s) = -10*s**3 + 39*s**2 - 9*s. Let y(h) = 5*h**3 - 19*h**2 + 4*h. Let n(w) = 4*i(w) + 9*y(w). Determine r, given that n(r) = 0.
0, 3
Let a(x) be the first derivative of 10*x**5 - 10*x**4 - 14*x**3 + 20*x**2 - 8*x - 8. Suppose a(m) = 0. Calculate m.
-1, 2/5, 1
Let c(g) be the third derivative of -g**5/450 + g**4/90 - g**3/45 + 6*g**2. Factor c(x).
-2*(x - 1)**2/15
Let u(a) be the third derivative of a**2 - 1/120*a**5 + 0*a + 0 + 1/420*a**7 - 1/672*a**8 + 0*a**4 + 0*a**3 + 1/240*a**6. Factor u(i).
-i**2*(i - 1)**2*(i + 1)/2
Let o be (-3 + 0)/((-3)/(-2)). Let g be (0 - 2 - -1)*o. Solve -7*t - t + 4*t - 14*t**g = 0 for t.
-2/7, 0
Find m, given that -4/7*m**2 + 2/7*m**5 + 0*m + 0 + 4/7*m**4 - 2/7*m**3 = 0.
-2, -1, 0, 1
Let y = -3 - -5. Let m be 3 - (180/(-8))/(-9). Factor 0*f - m*f**y + 0.
-f**2/2
Suppose g + 7 = -8. Let t = g + 61/4. Find q, given that 0 + 1/4*q**3 + t*q**2 + 0*q = 0.
-1, 0
Let v(k) be the second derivative of -k**5/35 + 5*k**4/42 + 4*k**3/21 - 3*k**2/7 + k. Factor v(p).
-2*(p - 3)*(p + 1)*(2*p - 1)/7
Factor h**4 + 1/2*h**2 + 5/4*h**3 + 1/4*h**5 + 0 + 0*h.
h**2*(h + 1)**2*(h + 2)/4
Find h such that 1/2*h**2 + 3/2*h + 1 = 0.
-2, -1
Let b = -20 + 28. Let u be b/96*(1 - -3). Factor 7/3*s**4 + s**5 + 2/3*s**3 - 2*s**2 - u - 5/3*s.
(s - 1)*(s + 1)**3*(3*s + 1)/3
Let b(c) be the third derivative of 0*c**6 - 2*c**2 + 0*c**4 + 1/1050*c**7 + 0*c + 0 - 1/300*c**5 + 0*c**3. Factor b(q).
q**2*(q - 1)*(q + 1)/5
Suppose 0 = -11*z - 8*z. Factor 2/9*c - 2/9*c**2 + z.
-2*c*(c - 1)/9
Factor -4/5 + 2/5*d**2 + 2/5*d.
2*(d - 1)*(d + 2)/5
Let b(k) be the first derivative of 1/3*k**6 + 0*k**2 - 2/3*k**3 + 2/5*k**5 + 0*k - 1/2*k**4 - 6. Suppose b(m) = 0. Calculate m.
-1, 0, 1
Let i = 4111/11 + -373. Factor 14/11*r**3 - i*r**2 - 8/11*r + 0 - 4/11*r**4.
-2*r*(r - 2)**2*(2*r + 1)/11
Let m(i) be the first derivative of i**6/2 + 27*i**5/5 - 15*i**4/2 - 9. Let m(q) = 0. Calculate q.
-10, 0, 1
Let o(b) be the second derivative of -b**7/14 - b**6/5 + b**4/2 + b**3/2 - 16*b. Suppose o(j) = 0. Calculate j.
-1, 0, 1
Let s = -160 + 322. Determine g so that s*g**4 + 2*g**3 - 5*g**3 - 163*g**4 = 0.
-3, 0
Let g(y) be the first derivative of -3*y**4/4 + y**3 + 9*y**2 - 18. Solve g(a) = 0.
-2, 0, 3
Let y = -1898/5 - -380. Factor y*t**3 + 0*t - 2/5*t**2 + 0.
2*t**2*(t - 1)/5
Let r be (-6)/(-15) + (-4)/(-15). Factor 2/3 + r*d**2 - 4/3*d.
2*(d - 1)**2/3
Let g be 9/12*7/21. Let u = -1/20 + g. Determine q so that -1/5*q + 2/5 - u*q**2 = 0.
-2, 1
Let m(t) be the second derivative of -t**7/21 - t**6/5 - 3*t**5/10 - t**4/6 - 23*t. Factor m(d).
-2*d**2*(d + 1)**3
Factor 0*i**4 + 2*i**3 - 5*i - i**2 + 0*i**2 + 3*i + i**4.
i*(i - 1)*(i + 1)*(i + 2)
Let i be (-13)/(-1014) + 4/26. Let p(a) be the second derivative of -2*a + i*a**4 + 0 + 4/3*a**3 + 4*a**2. Find q such that p(q) = 0.
-2
Let v = -147/4 - -3673/100. Let i = 53/150 + v. Factor -1/3*d**2 + 2/3*d - i.
-(d - 1)**2/3
What is t in -32/5*t + 28/5 + 4/5*t**2 = 0?
1, 7
Let 6*j**3 + 12*j**2 - 2*j**3 + 1187 - 1203 = 0. What is j?
-2, 1
Let j(v) be the second derivative of 0 + 0*v**2 + 1/60*v**6 + 1/80*v**5 + 0*v**4 - v + 1/168*v**7 + 0*v**3. Let j(l) = 0. Calculate l.
-1, 0
Let r(i) = -6*i**4 + 6*i**3 - 3*i**2 - 9*i + 6. Let v(z) = -5*z**4 + 7*z**3 - 3*z**2 - 9*z + 6. Let m(c) = -2*r(c) + 3*v(c). Factor m(p).
-3*(p - 2)*(p - 1)**2*(p + 1)
Let i(k) = 8*k**2 + 5*k - 5. Let f(d) = -20*d**2 - 12*d + 12. Let m(b) = -5*f(b) - 12*i(b). Solve m(r) = 0.
0
Let i(w) be the third derivative of 13/330*w**5 + 5*w**2 + 0 + 4/33*w**3 + 0*w + 1/110*w**6 + 1/1155*w**7 + 1/11*w**4. Factor i(n).
2*(n + 1)**2*(n + 2)**2/11
Let t be (-29)/(-9) - (-4)/(-18). Find n, given that -11*n**5 + 18*n**2 + n**5 - 4*n**5 + 4*n - 18*n**4 + 10*n**t = 0.
-1, -2/7, 0, 1
Let -12 + 11*a + a**2 + 10 + 12 = 0. Calculate a.
-10, -1
Let s(b) = 100*b**3 + 476*b**2 + 336*b + 68. Let l(h) = -200*h**3 - 953*h**2 - 672*h - 135. Let n(q) = 4*l(q) + 7*s(q). Solve n(r) = 0 for r.
-4, -2/5
Let p(v) be the second derivative of -v**4/90 - v**3/45 + v. Suppose p(u) = 0. Calculate u.
-1, 0
Let b(p) = -27*p**3 + 20*p**2 + 49*p + 20. Let f(d) = d**3 + d - 1. Let k(r) = -b(r) - 2*f(r). Factor k(h).
(h - 2)*(5*h + 3)**2
Let j(g) be the second derivative of g**7/1512 - 7*g**6/2160 + g**5/180 + g**4/4 - 4*g. Let p(m) be the third derivative of j(m). Let p(r) = 0. What is r?
2/5, 1
Let i = -55 + 60. Let x(z) be the third derivative of -1/48*z**4 + 0*z - 1/120*z**i - z**2 + 0*z**3 + 0. Factor x(g).
-g*(g + 1)/2
Let j(o) = -10*o**3 + 3*o**2 + 10*o - 3. Let f = -2 - -6. Let c(n) = f*n + 2 + n**2 - 3 - 3*n**3 - n. Let r(k) = 7*c(k) - 2*j(k). Factor r(u).
-(u - 1)**2*(u + 1)
Suppose 0*s + 15 = 5*s. Factor -1/4*i**2 + 0*i - 1/4*i**s + 0.
-i**2*(i + 1)/4
Suppose 3 = 2*d + 1. Let w = d - -2. Find z such that 0*z + 2*z**2 - w*z**2 - z = 0.
-1, 0
Factor 0 + 3/2*u - 3/2*u**3 + 0*u**2.
-3*u*(u - 1)*(u + 1)/2
Find r such that -2/5*r**2 + 2/5 + 0*r = 0.
-1, 1
Let z(r) = -r**2 - 9*r - 8. Let y be z(-8). Factor 1/3*i**2 + 1/3*i**3 + y*i + 0.
i**2*(i + 1)/3
Factor 0 + 2/13*x**2 + 4/13*x.
2*x*(x + 2)/13
Let l(o) = -5*o**2 + 5*o - 6. Let t(r) = -4*r**2 + 5*r - 6. Let u(j) = 3*l(j) - 4*t(j). Let v be u(4). Factor -10*q + 2 - 7/2*q**3 + 23/2*q**v.
-(q - 2)*(q - 1)*(7*q - 2)/2
Let u = 3/28 - -39/28. Find i such that -1/2*i**2 - 1 - u*i = 0.
-2, -1
Let a(t) be the second derivative of -t**7/28 + 7*t**6/20 - 57*t**5/40 + 25*t**4/8 - 4*t**3 + 3*t**2 + 6*t. Factor a(b).
-3*(b - 2)**2*(b - 1)**3/2
Let -8/11 + 2/11*w**2 + 2/11*w**3 - 8/11*w = 0. Calculate w.
-2, -1, 2
Let v(a) = a**4 - a**3 - a**2 + a. Let k(y) = -y**4 + y**3 + y**2 - y. Let f(i) = 5*k(i) + 10*v(i). Factor f(s).
5*s*(s - 1)**2*(s + 1)
Let o(j) be the first derivative of -j**3/4 - 3*j**2/8 - 25. Factor o(i).
-3*i*(i + 1)/4
Let q(r) = r**3 + 6*r**2 - 6*r + 9. Let a be q(-7). Suppose 0*b - b + a = 0. Factor 0*g + 0 - 6/7*g**3 - 6/7*g**4 - 2/7*g**5 - 2/7*g**b.
-2*g**2*(g + 1)**3/7
Let a(w) = 16*w**3 + 4*w**2 + 7*w. Let i(o) = 5*o**3 + o**2 + 2*o. Let p(n) = -2*a(n) + 7*i(n). Find x, given that p(x) = 0.
0, 1/3
Let i = -8 + 8. Let d(n) be the second derivative of -6/5*n**5 - 1/3*n**6 - 2/3*n**3 + 2*n + 0*n**2 - 3/2*n**4 + i. Determine g so that d(g) = 0.
-1, -2/5, 0
Let z(l) be the third derivative of 0 + 0*l - 1/80*l**6 + 0*l**5 + 0*l**3 + 4*l**2 + 0*l**4. What is o in z(o) = 0?
0
Let s(d) be the third derivative of 0 + 1/1260*d**6 + 0*d**4 + 0*d + 1/210*d**5 - 1/6*d**3 - 2*d**2. Let g(t) be the first derivative of s(t). Factor g(u).
2*u*(u + 2)/7
Let p(n) be the third derivative of -n**5/300 + n**4/24 + 15*n**2 - n. Suppose p(q) = 0. What is q?
0, 5
Let b(t) = -2*t + 1. Let f be b(-1). Suppose l + 5*h = 25, -4*h + 35 = f*l + 4. Let -1/2*m**4 + 0 + 1/2*m**2 + 1/6*m + 2/3*m**l - 5/6*m**3 = 0. What is m?
-1, -1/4, 0, 1
Let z(p) = -p**5 - p**3 - p**2 - p - 1. Let y(u) = u**5 - 2*u**4 + 9*u**3 + 13*u**2 + 7*u + 3. Let x(c) = 2*y(c) + 6*z(c). Determine l, given that x(l) = 0.
-1, 0, 2
Let r(p) be the first derivative of -8*p + 2 + 4/5*p**5 + 3*p**4 + 4/3*p**3 - 6*p**2. Suppose r(o) = 0. What is o?
-2, -1, 1
Factor 27/2 - 33/8*v**2 + 3/8*v**3 + 9*v.
3*(v - 6)**2*(v + 1)/8
Let b(q) = -2*q. Let n be b(-1). Let a(g) be the first derivative of 0*g + 2/3*g**3 - g**4 + 1 + 0*g**n. Factor a(z).
-2*z**2*(2*z - 1)
Let s = 65761/120 - 548. Let x(g) be the third derivative of g**2 - s*g**5 - 1/16*g**4 + 0*g + 0 - 1/6*g**3. Factor x(a).
-(a + 1)*(a + 2)/2
Let u = 17/7 - 64/35. Let h(t) = 101*t + 101. Let r be h(-1). Solve -u*b**2 + 0 + 3/5*b**4 + 3/5*b**5 + r*b - 3/5*b**3 = 0 for b.
-1, 0, 1
Let r be 0 - (14/60 - (-28)/(-70)). Factor -2/3*t**3 - 5/6*t**2 - r*t**