 - k*q. Factor 5 - 5 + 3*d**4 - 3*d**2 + 0*d**j.
3*d**2*(d - 1)*(d + 1)
Let k = -125 - -131. Let o(g) be the second derivative of 0*g**3 - 2/9*g**k - 4/9*g**4 + 0 - 3*g + 0*g**2 - 8/15*g**5 - 2/63*g**7. Suppose o(w) = 0. What is w?
-2, -1, 0
Let 0*w**3 - 144*w**2 + 4*w**3 + 31014*w - 29718*w = 0. What is w?
0, 18
Let b(r) = 2*r**3 - 5*r**2 + 2*r + 2. Let u be b(2). Solve 4 - 3*f - 6*f + f + 4*f**u = 0.
1
Let o(h) be the third derivative of -h**5/40 + 123*h**4/16 + 408*h**2. Factor o(s).
-3*s*(s - 123)/2
Let d(w) be the second derivative of 6*w - 1/49*w**7 + 2/21*w**4 - 1/7*w**3 + 3/35*w**5 + 0 - 2/105*w**6 - 2/7*w**2. Solve d(s) = 0.
-1, -2/3, 1
Let f = -214 - -148. Let x be (-22)/f*3/7. Let x*g**3 + 0*g + 0 + 1/7*g**4 + 0*g**2 = 0. Calculate g.
-1, 0
Let h(f) be the first derivative of 0*f - 4*f**2 + 4/3*f**3 - 4. Factor h(q).
4*q*(q - 2)
Suppose -5*l + 16 = 2*j - 14, -4*l = j - 21. Suppose j*y = -5, 6*y + 14 = 2*p + 4*y. Solve 18/7*b**3 - 54/7*b**4 + p*b**2 - 26/7*b + 4/7 = 0.
-1, 1/3, 2/3
Suppose -6 = -4*o - 2*x - 0, -2*x + 5 = 3*o. Let r(k) = 2*k**3 + k**2 - k + 1. Let z be r(o). Factor -2*n - 3*n + 8*n - z*n**2.
-3*n*(n - 1)
Suppose -5*c - 95 = -10*c. Suppose 7*u - c*u = 0. What is y in -2/5*y**2 + 2/5*y + u = 0?
0, 1
Let g(x) be the first derivative of x**7/1400 + x**6/100 + 9*x**5/200 + 19*x**3/3 + 19. Let m(v) be the third derivative of g(v). Solve m(j) = 0 for j.
-3, 0
Let q(h) be the third derivative of 7*h**8/640 - h**7/60 + h**6/120 - 11*h**4/8 - 26*h**2. Let i(s) be the second derivative of q(s). Factor i(r).
3*r*(7*r - 2)**2/2
Let 12*n + 3/4*n**2 + 0 = 0. What is n?
-16, 0
Let c(z) be the second derivative of z**6/1800 - z**5/600 - z**4/60 + 7*z**3/2 + 9*z. Let b(x) be the second derivative of c(x). Solve b(p) = 0.
-1, 2
Let v(r) be the third derivative of 0*r**3 - 19*r**2 + 1/36*r**4 + 0 + 1/240*r**6 + 0*r - 1/252*r**7 + 1/30*r**5. Let v(x) = 0. Calculate x.
-1, -2/5, 0, 2
Let w(o) be the second derivative of -o**7/7560 - o**6/1080 + o**4 - 10*o. Let r(v) be the third derivative of w(v). Let r(l) = 0. Calculate l.
-2, 0
Find u such that -57/2*u**2 + 0 - 15/2*u**4 - 11*u - 1/2*u**5 - 49/2*u**3 = 0.
-11, -2, -1, 0
Let w(u) = 2*u + 28. Let k(y) = y. Let p(x) = 6*k(x) - w(x). Let m be p(8). Suppose -33/2*l**2 + 25/4*l**m - 2 + 5/4*l**3 + 11*l = 0. What is l?
-2, 2/5, 1
Let g(d) = 11*d**3 + 16*d**2 - 25*d - 36. Let t(o) = -100*o**3 - 145*o**2 + 225*o + 325. Let f(u) = 55*g(u) + 6*t(u). Let f(v) = 0. What is v?
-3, -1, 2
Let l be 6/18 - 125/(-75). Factor 2/3*c**3 - l*c**2 + 0 + 4/3*c.
2*c*(c - 2)*(c - 1)/3
Suppose -2*j**2 - 16*j - 8*j - j**2 - 12*j = 0. Calculate j.
-12, 0
Let c = -1918 + 1926. Solve -c + 4*v - 1/2*v**2 = 0.
4
Let w(q) = 13*q**3 + 146*q**2 - 217*q + 58. Let t(j) = 14*j**3 + 145*j**2 - 218*j + 59. Let o(s) = 4*t(s) - 5*w(s). Let o(x) = 0. Calculate x.
-18, 1/3, 1
Suppose 0 = c + 2*t - 13 - 3, -14 = c - 4*t. Let u(f) = f**2 + 9*f + 21. Let p be u(-6). Factor 5 - c*k + 2 - 3 + p*k**2 - k**2.
2*(k - 2)*(k - 1)
Suppose 83*l**2 + 608*l**2 + 294*l**3 + 416 + 2055*l - 503*l + 938*l**2 - 19*l**2 = 0. What is l?
-13/3, -4/7
Factor 0 + 16*f + 2/3*f**3 + 22/3*f**2.
2*f*(f + 3)*(f + 8)/3
Let y(q) be the second derivative of q**4/66 + 7*q**3/33 - 8*q**2/11 - 59*q. Find g such that y(g) = 0.
-8, 1
Let a(m) be the first derivative of 2*m**3/33 + 2*m**2/11 - 6*m/11 - 51. Solve a(k) = 0.
-3, 1
Let r = 64 + -61. Suppose 2 = -5*n + 17. Let -1 - 3 + h**2 - r*h + n*h**3 - 2*h**4 + 5 = 0. What is h?
-1, 1/2, 1
Let i(b) be the third derivative of 0*b**4 + 0 - 1/2352*b**8 + 0*b**7 + 0*b**3 + 0*b**5 + 0*b - 8*b**2 + 0*b**6. Suppose i(d) = 0. What is d?
0
Let f(v) be the third derivative of -v**6/8 - 21*v**5/10 - 19*v**4/2 - 12*v**3 - 256*v**2. Solve f(m) = 0.
-6, -2, -2/5
Let y(g) be the second derivative of g**7/2016 - g**6/288 - g**5/32 + 4*g**4/3 - 12*g. Let c(l) be the third derivative of y(l). Find s, given that c(s) = 0.
-1, 3
Suppose -4 = -7*m + 10. Let g be m + -5 + (-54)/(-10). Find b, given that 0*b**2 - 2/5*b - g*b**4 + 14/5*b**3 + 0 = 0.
-1/3, 0, 1/2, 1
Let s(q) be the first derivative of 8*q**5/65 - q**4/26 - 8*q**3/39 + q**2/13 - 27. Let s(b) = 0. What is b?
-1, 0, 1/4, 1
Let l(b) be the first derivative of -b**6/105 - b**5/140 + b**4/84 - 22*b - 23. Let x(w) be the first derivative of l(w). Factor x(i).
-i**2*(i + 1)*(2*i - 1)/7
Let s(r) be the first derivative of r**3/9 + 10*r**2 + 59*r/3 - 189. Find p such that s(p) = 0.
-59, -1
What is o in -7/8*o**3 + 1/8*o**4 - 17/8*o**2 + 0 - 9/8*o = 0?
-1, 0, 9
Determine z, given that 3/5*z**2 - 24/5 - 6/5*z = 0.
-2, 4
Find y, given that 98/13*y**2 + 202/13*y - 2/13*y**3 + 102/13 = 0.
-1, 51
Let l = 37 - 21. Let u be ((-36)/l)/(6/(-16)). Factor u*j**2 + 15*j**2 - 24*j**2 + 6*j.
-3*j*(j - 2)
Let h(m) = -2*m**5 - 14*m**4 - 24*m**3 - 20*m**2 - 6*m. Let f(t) = t**4. Let i(n) = 2*f(n) + h(n). Solve i(r) = 0 for r.
-3, -1, 0
Let y(z) = -12*z**2 + 20*z + 8. Let u(n) = -n**3 + 26*n**2 - 39*n - 14. Let v(i) = 4*u(i) + 7*y(i). Factor v(t).
-4*t*(t - 4)*(t - 1)
Let l(m) be the second derivative of 7*m**8/480 - m**7/30 + m**6/30 - 2*m**5/105 - 3*m**4/4 + 5*m. Let k(z) be the third derivative of l(z). Factor k(r).
2*(7*r - 2)**3/7
Factor -3*c**5 + 15*c**3 - 24*c + 0*c**3 + 13*c**4 - 10*c**4 - 2*c**2 - c**2 - 12.
-3*(c - 2)**2*(c + 1)**3
Let t(w) = -w + 7. Let l be t(4). Suppose l = 2*r + 2*u + 5, -3*r - 5*u = 11. Factor 10 - 2*p**r - 10 + 6*p**3.
4*p**3
Let m(k) be the third derivative of -k**7/1155 - k**6/660 + k**5/55 + 117*k**2 - k. Let m(d) = 0. Calculate d.
-3, 0, 2
Suppose -2/3*a + 8/3 - 1/3*a**2 = 0. What is a?
-4, 2
Let y = 573 + -9165/16. Let k(b) be the second derivative of 0*b**5 + 0*b**2 - y*b**4 - 6*b + 0 + 1/40*b**6 + 1/4*b**3. Factor k(u).
3*u*(u - 1)**2*(u + 2)/4
Let k(d) be the first derivative of -7*d**4/2 - 20*d**3 + 139*d**2 + 84*d + 7. Factor k(y).
-2*(y - 3)*(y + 7)*(7*y + 2)
Let u(r) be the first derivative of r**3 - 57*r**2/2 - 254. Factor u(c).
3*c*(c - 19)
Let a(v) be the third derivative of -v**6/180 + 2*v**5/15 + 5*v**4/12 - 26*v**3/9 - 16*v**2. Factor a(n).
-2*(n - 13)*(n - 1)*(n + 2)/3
Let y(r) be the first derivative of 8/7*r**3 + 0*r + 12/35*r**5 - 10 - 13/14*r**4 - 1/21*r**6 - 4/7*r**2. Let y(d) = 0. What is d?
0, 1, 2
Let t be (-4)/14 + 2 + (-46)/(-14). Factor -8*h - 4*h + t*h**2 - 2*h**2 + h**2.
4*h*(h - 3)
Let s(k) be the second derivative of 1/126*k**7 + 0*k**3 - 1/90*k**6 + 0 + 0*k**2 + 7*k - 1/60*k**5 + 1/36*k**4. Factor s(z).
z**2*(z - 1)**2*(z + 1)/3
Let v(o) be the second derivative of -o**4/24 - 3*o**3/4 - 5*o**2 - 84*o. Factor v(n).
-(n + 4)*(n + 5)/2
Suppose 4 = -a, 9*n - 36 = 4*n + 4*a. Factor h**4 - 114*h**2 - 27648*h + 3*h**n - 279*h**3 + 3570*h**2 + 87*h**3 + 82944.
4*(h - 12)**4
Let r(y) = -11*y**3 + 7*y**2 - 6*y + 6. Let d(g) = 24*g**3 - 15*g**2 + 12*g - 13. Let w(c) = -6*d(c) - 13*r(c). Suppose w(i) = 0. What is i?
-3, 0, 2
Suppose -13*b = 3*b - 32. Let q(r) be the third derivative of 0*r**3 + 3/10*r**5 + 0 - 7*r**b - 1/40*r**6 - 9/8*r**4 + 0*r. Suppose q(m) = 0. Calculate m.
0, 3
Suppose -245*u + 21*u = -315 - 805. Suppose 5/3*j**4 + 5/3*j**u - 5/3*j**2 - 20/3 - 25/3*j**3 + 40/3*j = 0. What is j?
-2, 1
Let q(s) = 2*s**5 - 2*s**3 - s**2 + s + 1. Let o(a) = -a**5 + a**3 + a**2 - a - 1. Let z(k) = o(k) + q(k). Factor z(x).
x**3*(x - 1)*(x + 1)
Let z(t) = 5*t + 2. Let y be z(3). Let j = y - 14. Factor -5 + 3*d**4 - 2*d**2 - 3*d**j + 3*d**5 - d**2 + 5.
3*d**2*(d - 1)*(d + 1)**2
Suppose -17/2*j - 1/2*j**3 + 5*j**2 + 4 = 0. What is j?
1, 8
Let i(y) = -17*y**4 - 23*y**3 - 7*y**2 + 7*y. Let x(l) = 35*l**4 + 45*l**3 + 15*l**2 - 15*l. Let f(n) = -5*i(n) - 2*x(n). Find s such that f(s) = 0.
-1, 0, 1/3
Let k be 1650/242 + (-4)/(-22). Factor 3 + 3*q**3 + 4*q - 5 + q**4 + 3*q**2 - 2*q**2 - k*q.
(q - 1)*(q + 1)**2*(q + 2)
Let h(k) be the second derivative of -k**4/60 + 2*k**3/15 + 6*k**2/5 + k + 2. Factor h(t).
-(t - 6)*(t + 2)/5
Let u(x) be the first derivative of 5*x**4/12 + 10*x**3/9 - 10*x**2/3 - 40*x/3 - 29. Solve u(m) = 0 for m.
-2, 2
Let g(x) be the third derivative of 14*x**2 + 0*x + 0 - 1/150*x**5 - 1/15*x**4 - 1/5*x**3. Factor g(v).
-2*(v + 1)*(v + 3)/5
Suppose 54 + 23/6*l**4 - 120*l + 553/6*l**2 - 179/6*l**3 - 1/6*l**5 = 0. What is l?
1, 2, 9
Let f(