-3, -1, 1
Let d(o) = -o**3 - 2*o**2 - o + 3. Let g(t) = t + 1. Let c be 4/(-1 + -1)*-1. Let z(i) = c*d(i) + 10*g(i). Let z(x) = 0. What is x?
-2, 2
Let x(q) = -q**4 + 38*q**3 - 6*q**2 + 2*q. Let g(r) = 4*r**4 - 113*r**3 + 21*r**2 - 7*r. Let j(u) = 4*g(u) + 14*x(u). Find o, given that j(o) = 0.
-40, 0
Let h = 20/21 + -17/84. Let v = -10545 + 10545. Factor v - h*q**3 - 1/4*q + q**2.
-q*(q - 1)*(3*q - 1)/4
Let h(u) be the first derivative of -2*u**3/3 + 26*u**2 + 233. Factor h(b).
-2*b*(b - 26)
Let n(h) be the third derivative of -h**8/16800 + h**7/6300 - 3*h**4/8 + h**2. Let k(w) be the second derivative of n(w). Factor k(z).
-2*z**2*(z - 1)/5
Let 22*p - 47*p - 2 + p**2 + 31*p + 2 = 0. What is p?
-6, 0
Let q = -11034 - -33107/3. Factor -q*a**3 - 85*a**2 - 24565/3 - 1445*a.
-5*(a + 17)**3/3
Let u(n) be the third derivative of n**7/70 + n**6/4 - 11*n**5/20 + 606*n**2. Find w such that u(w) = 0.
-11, 0, 1
Let x(r) = -3*r**2 + r + 1. Let j(w) = 56*w**2 + 1164*w - 87636. Let l(h) = -j(h) - 20*x(h). Suppose l(q) = 0. Calculate q.
148
Factor -6*q + 7*q + 98*q**2 + 11*q - 39 - 118*q**2 + 95.
-4*(q - 2)*(5*q + 7)
Let a = 10 - 7. Find c such that -13*c**2 + 12*c**4 - 23*c**2 - 2*c + 6 + 17*c + a*c**3 = 0.
-2, -1/4, 1
Let f(o) = -2*o**4 - 144*o**3 + 635*o**2 + 144*o - 653. Let t(d) = -72*d**3 + 318*d**2 + 72*d - 326. Let b(q) = -2*f(q) + 5*t(q). Suppose b(h) = 0. Calculate h.
-1, 1, 9
Let c(v) be the first derivative of -3*v**4/4 + 11*v**3 + 87*v**2/2 - 117*v + 569. Factor c(r).
-3*(r - 13)*(r - 1)*(r + 3)
Suppose -177 = -5*d - 57. Let w be (-8)/d - (-1)/3. Factor -9*i**4 - 7*i**2 + w*i**2 + 3*i**5 - 6*i + 16*i**2 + 3*i**3.
3*i*(i - 2)*(i - 1)**2*(i + 1)
Let v(n) be the third derivative of n**5/270 - 2*n**4/27 - 65*n**3/27 - n**2 + 261. Solve v(h) = 0 for h.
-5, 13
Let u(x) be the first derivative of -x**7/420 - x**6/48 - x**5/30 - 13*x**2 - 22. Let l(h) be the second derivative of u(h). What is k in l(k) = 0?
-4, -1, 0
Factor 50/21*n - 2/21*n**3 - 22/7 + 6/7*n**2.
-2*(n - 11)*(n - 1)*(n + 3)/21
Let p(v) be the third derivative of -v**8/168 + v**7/5 - 23*v**6/10 + 149*v**5/15 - 87*v**4/4 + 27*v**3 - 7*v**2 + 1. Determine i so that p(i) = 0.
1, 9
Let a be 84/15 - (-9)/(-15). Suppose a - 16 = -q. Factor -d**2 - q*d**5 + d**4 + 0*d**2 + d**3 + 10*d**5.
-d**2*(d - 1)**2*(d + 1)
Suppose 58 = 6*z - 80. Factor -z - 141*t**2 + 2 - 9*t - 9 + 144*t**2.
3*(t - 5)*(t + 2)
Let d(k) be the second derivative of -k**3 + 12*k**2 + k + 17. Let a be d(4). Factor -1/3*h**3 + 0 + 0*h**4 + 0*h**2 + a*h + 1/3*h**5.
h**3*(h - 1)*(h + 1)/3
Let z(m) be the third derivative of 1/200*m**6 - 1/350*m**7 + 0*m**3 + 0 + 0*m**4 + 0*m - 1/300*m**5 - 22*m**2 + 1/1680*m**8. Let z(k) = 0. What is k?
0, 1
Let u(i) be the third derivative of 15*i**2 + 0 + 0*i - 1/150*i**5 + 0*i**3 + 1/600*i**6 + 1/120*i**4. Suppose u(p) = 0. Calculate p.
0, 1
Let u(m) be the third derivative of 16*m**2 - 1/150*m**5 - 1/10*m**4 + 0*m + 0 - 3/5*m**3. Let u(n) = 0. What is n?
-3
Let u = -7463 + 7466. Factor -7*w + 69/4*w**2 - 35/2*w**u + 1 + 25/4*w**4.
(w - 1)**2*(5*w - 2)**2/4
Let s = 76685/4 - 19170. Factor 0 + s*t**2 + 1/4*t**3 + 0*t.
t**2*(t + 5)/4
Suppose -2*q = z - 4, 141*q = 2*z + 140*q - 8. Let 82/11*x + 14/11*x**5 + 12/11 + 192/11*x**3 + 8*x**z + 188/11*x**2 = 0. What is x?
-3, -1, -2/7
Let o(b) be the second derivative of -1/70*b**5 + 1/21*b**3 + 0 - 23*b - 1/105*b**6 + 1/42*b**4 + 0*b**2. Let o(g) = 0. What is g?
-1, 0, 1
Let v(w) = -3*w**2 + w - 2. Let x(h) = 39*h + 8*h**2 - 7 + 14 - 43*h. Let p(n) = -11*v(n) - 4*x(n). Determine d so that p(d) = 0.
-6, 1
Let y(f) be the second derivative of 2*f**7/21 + 8*f**6/15 - f**5/5 - 4*f**4/3 - 135*f. Factor y(z).
4*z**2*(z - 1)*(z + 1)*(z + 4)
Let q(m) = -120*m**3 + 2420*m**2 - 26620*m + 260. Let v(d) = 11*d**3 - 220*d**2 + 2420*d - 24. Let o(b) = 6*q(b) + 65*v(b). What is z in o(z) = 0?
0, 22
Let q(z) be the third derivative of -z**7/840 - z**6/160 - z**5/80 - z**4/96 + 10*z**2. What is m in q(m) = 0?
-1, 0
Let y(o) be the first derivative of -o**8/2240 + o**7/280 - o**6/80 + o**5/40 - o**4/32 - 2*o**3/3 - 19. Let a(t) be the third derivative of y(t). Factor a(h).
-3*(h - 1)**4/4
Let j(v) be the first derivative of v**6/450 - v**5/75 - v**4/10 + 8*v**3 + 16. Let u(x) be the third derivative of j(x). Let u(k) = 0. Calculate k.
-1, 3
Let c(p) = p**3 - 2*p**2 - p + 3. Let v be c(0). Let z be 9/10 - (-6)/(-45)*v. Factor 1/4 + 1/4*u**2 + z*u.
(u + 1)**2/4
Factor -12*n - 5 + n**2 - 7 + 22 + n**2.
2*(n - 5)*(n - 1)
Let r(v) be the second derivative of -13*v**6/600 + v**5/100 + 5*v**3/6 + 6*v. Let o(j) be the second derivative of r(j). Factor o(i).
-3*i*(13*i - 2)/5
Let s(l) be the first derivative of 10/13*l**2 + 2/13*l**3 - 16/13*l + 18. Factor s(x).
2*(x + 4)*(3*x - 2)/13
Factor 6*a + 88 + 99 - 2*a**3 - 183.
-2*(a - 2)*(a + 1)**2
Factor 93/2*r**2 - 2 - 92*r.
(r - 2)*(93*r + 2)/2
Let v(b) be the second derivative of 3/20*b**5 + 0 - 1/2*b**3 - 1/4*b**4 + 0*b**2 + 1/10*b**6 + 27*b. Determine d, given that v(d) = 0.
-1, 0, 1
Suppose -3 = -5*w - s + 4*s, 4 = -4*w + 4*s. Factor 8*t**w - 14*t**2 - 2*t**3 + 10*t**4 + 4 + 6*t - 12*t**3.
2*(t - 1)**2*(t + 1)*(5*t + 2)
Let f be (2/(-1))/((-5)/1). Let j(g) = g**3 - 17*g**2 - 13*g - 88. Let k be j(18). Factor -2/5 - 4/5*b - f*b**k.
-2*(b + 1)**2/5
Let r(a) be the first derivative of -4*a**5/15 + 5*a**4/3 - 28*a**3/9 + 2*a**2 - 123. Factor r(f).
-4*f*(f - 3)*(f - 1)**2/3
Let g(j) = j**2 - 7*j - 21. Let z be g(10). Let -7*b**2 + 5*b**3 + 11*b - 11*b + 4*b**4 + b**5 + z*b**2 = 0. Calculate b.
-2, -1, 0
Factor 1664*l**4 - 3339*l**4 - 290*l**3 + 1670*l**4.
-5*l**3*(l + 58)
Let y = 12 + -3. Let b be 8/(-12) + ((-10)/(-6) - -1). Factor b*d**2 + 8 - y - 4*d + 19 - 8*d.
2*(d - 3)**2
Find m such that 12 + 5 - 3*m + 3 + 25*m**3 + 22*m + m - 65*m**2 = 0.
-2/5, 1, 2
Let 181*z**4 - 5*z**5 - 326*z**4 - 45*z**2 - 15*z**3 + 170*z**4 = 0. What is z?
-1, 0, 3
Let o(c) be the third derivative of -512/15*c**3 - 6*c**2 + 1/300*c**6 + 0 + 0*c + 16/5*c**4 - 4/25*c**5. Determine v so that o(v) = 0.
8
Let d = 246537/5 + -49307. Suppose -d*i**2 - 2 + 12/5*i = 0. Calculate i.
1, 5
Let w(k) be the third derivative of -k**6/720 + 5*k**5/72 - 11*k**4/18 + 7*k**3/3 - k**2 - 20*k. Factor w(r).
-(r - 21)*(r - 2)**2/6
Let o(i) be the third derivative of -7*i**7/6 - 1001*i**6/60 - 5*i**5 + 37*i**4/3 + 32*i**3/3 - 2*i**2 - 9*i. Determine t so that o(t) = 0.
-8, -2/7, 2/5
Let f(o) be the first derivative of -o**4/8 + 11*o**3/6 - 2*o**2 - 10*o + 147. Factor f(z).
-(z - 10)*(z - 2)*(z + 1)/2
Let h be -8 + -3*(2 - 1). Let y = h + 22. Factor j**2 - y + 11.
j**2
Factor 147/2 - 21*d + 3/2*d**2.
3*(d - 7)**2/2
Let g(q) be the third derivative of -q**6/40 - q**5/2 + 3*q**4 - 239*q**2. Let g(l) = 0. Calculate l.
-12, 0, 2
Let t(l) = 2*l - 2*l + 12 + l. Let h be t(-8). Factor 14*x**2 - 18*x**3 - 36*x - 53*x**2 - x**4 - 2*x**h - 12.
-3*(x + 1)**2*(x + 2)**2
Let a(o) = -7*o**3 + 229*o**2 + 459*o + 228. Let y(f) = -2*f**3 - f**2. Let w(r) = a(r) - 5*y(r). Suppose w(b) = 0. What is b?
-76, -1
Let i(o) be the first derivative of 4*o**4 + 24*o**3 + 54*o**2 + 54*o + 280. Factor i(n).
2*(2*n + 3)**3
Let y be ((-14)/56)/(1/(-8)). Suppose 1/3 + h**y - 4/3*h = 0. What is h?
1/3, 1
Find f such that -f**2 + 3*f + 10*f**2 + 3*f**3 - 3*f**2 = 0.
-1, 0
Let f(b) = -b + 16. Let u be f(9). Factor 4*n**2 + u*n + 6 - n - 2 - 14*n.
4*(n - 1)**2
Let a = 162 + -157. Let x be a/2*((-18)/(-15))/1. Factor 1/4*r**4 + 1/4*r + 1/4*r**5 - 1/2*r**x + 1/4 - 1/2*r**2.
(r - 1)**2*(r + 1)**3/4
Let o(v) be the second derivative of -3/5*v**3 + 27/10*v**2 + 0 - 3*v + 1/20*v**4. Suppose o(y) = 0. What is y?
3
Let g(i) = -2*i**2 + i + 1. Let l(r) = 4*r**2 + 37*r - 203. Let x(s) = -3*g(s) - l(s). Factor x(v).
2*(v - 10)**2
Let j(x) be the third derivative of 0 + 0*x + 19*x**2 + 0*x**3 - 1/24*x**6 + 1/2*x**5 - 5/3*x**4. Factor j(b).
-5*b*(b - 4)*(b - 2)
Suppose -2*u - 7*a + 3*a = -56, 0 = 2*a - 4. Suppose -p = 5*p - u. Let p*w - 2*w**2 + 3*w**3 + 9*w**3 - 10*w**2 - 4*w**4 = 0. What is w?
0, 1
Suppose -8*p - 36 = -11*p. Let l be 6/p*1*-4. Let u(a) = a**2 - a + 1. Let y(w) = -2*w**3 + 6*w**2 - 8*w + 2. Let h(n) = l*u(n) - y(n). Let h(r) = 0. What is r?
1, 2
Suppose 4*t = 27 - 11. Solve -i**2 - 48 - t*i**3 + 16*i + 