t 0*p**3 - 118 - 5*p**3 + 640*p + 45 + 73 - 40*p**2 = 0. What is p?
-16, 0, 8
Factor 59869*f**2 - 29932*f**2 - 79*f - 29936*f**2.
f*(f - 79)
Factor 70 + 14 + 1543*a**2 - 1560*a - 2951*a**3 + 38*a**2 + 2846*a**3.
-3*(a - 14)*(a - 1)*(35*a - 2)
Factor 14*n**3 + 26*n**3 + 56165*n - 20*n**3 - 19*n**3 - 114242 + 476*n**2.
(n - 2)*(n + 239)**2
Suppose 2*w + 257 = 261. Factor 21*i**4 - i**3 - 15*i**w + 20*i**4 - 11*i**3 - 38*i**4.
3*i**2*(i - 5)*(i + 1)
Let y(u) be the first derivative of -u**7/21 + u**6/5 - u**5/5 + 104*u + 160. Let p(i) be the first derivative of y(i). Find b such that p(b) = 0.
0, 1, 2
Suppose g + 1076 - 780 = 0. Let v = g - -299. Solve 3/7*x**v + 0 + 6/7*x + 9/7*x**2 = 0 for x.
-2, -1, 0
Solve 30 + 3/8*v**3 - 36*v + 45/8*v**2 = 0.
-20, 1, 4
Let k = 4973/2669 + 3/157. Let j be 10/(-35) + (-1866)/(-357) + -4. Factor -j*n + 2/17*n**2 + k.
2*(n - 4)**2/17
Let m(w) be the first derivative of -5/2*w**4 - w**5 + 10/3*w**3 + 52 - 5*w + 5/6*w**6 + 5/2*w**2. Let m(q) = 0. Calculate q.
-1, 1
Let j = -2865 + 36887/13. Let w = j + 6190/221. Factor 8/17 + 2/17*f**2 - w*f.
2*(f - 2)**2/17
Let c(m) be the third derivative of -42*m**2 + 1/12*m**4 + 1/6*m**5 - 5/3*m**3 - 1/60*m**6 + 0 + 0*m. Factor c(z).
-2*(z - 5)*(z - 1)*(z + 1)
Let w(f) be the first derivative of -1/16*f**4 - 3/4*f**2 + 0*f - 5/12*f**3 + 21. Determine n so that w(n) = 0.
-3, -2, 0
Let w(s) be the first derivative of -5*s**4/2 - 6*s**3 + 38*s**2 - 48*s - 1300. Factor w(n).
-2*(n - 1)*(n + 4)*(5*n - 6)
Let w be (-534)/(-2136) - (-25)/140. Let -w*r**2 + 6/7*r + 24/7 = 0. What is r?
-2, 4
Let y = 25/128 - -12967/128. Let m = -100 + y. Suppose 0*u**2 + 0*u - 6*u**3 - 6*u**4 + 0 - m*u**5 = 0. What is u?
-2, 0
Let o = 333230 + -4331988/13. Determine m so that -16/13*m**3 + 10/13 - 32/13*m + o*m**4 + 36/13*m**2 = 0.
1, 5
Let b(a) be the second derivative of a**6/90 + a**5/2 - 51*a**4/4 + 920*a**3/9 - 350*a**2 + 9046*a - 2. Factor b(n).
(n - 5)**2*(n - 2)*(n + 42)/3
Let t(q) = 4*q**3 - 2019*q**2 - 681417*q - 76545500. Let f(v) = -2*v**3 - v**2 + v - 2. Let n(r) = 3*f(r) + t(r). Determine g, given that n(g) = 0.
-337
Let y(f) = f**2 + f - 2. Suppose 0 = -24*h - 18 - 6. Let o(m) = 8*m**4 + 20*m**3 + 16*m**2 + 4*m - 24. Let r(s) = h*o(s) + 12*y(s). Factor r(b).
-4*b*(b + 1)*(b + 2)*(2*b - 1)
Let y(t) be the first derivative of -t**3/9 - 7*t**2/6 + 8*t/3 - 4823. Factor y(d).
-(d - 1)*(d + 8)/3
Factor 0 - 20*q + 1/6*q**3 - 119/6*q**2.
q*(q - 120)*(q + 1)/6
Let j(m) be the first derivative of m**5/5 + 19*m**4/12 + m**3/3 - 19*m**2/6 - 2*m + 880. Let j(v) = 0. What is v?
-6, -1, -1/3, 1
Let k(v) be the first derivative of -v**3/4 - 249*v**2/8 + 255*v/2 - 2971. Factor k(p).
-3*(p - 2)*(p + 85)/4
Suppose 3*v - 3 - 3 = 0. Let b be -4 + (-4)/2 + 17 + 2. Factor -5 + 1 + b + 10*k**2 + 16*k + v*k**3 - 1.
2*(k + 1)*(k + 2)**2
Let -1/5*h**2 - 21/5 + 22/5*h = 0. Calculate h.
1, 21
Let -8787*q**3 - 5126*q**2 + 888*q - 960*q**2 - 1200*q**5 + 725*q**2 + 30360*q**4 + 300 = 0. Calculate q.
-1/4, 2/5, 25
Let u(v) be the third derivative of 0*v + 0 - 1/150*v**5 + 1/1680*v**8 + 0*v**3 - 1/120*v**4 + 1/525*v**7 + 98*v**2 + 0*v**6. What is b in u(b) = 0?
-1, 0, 1
Let r(v) be the second derivative of 0 - 134*v + 18/5*v**3 + 1/25*v**5 + v**4 + 26/5*v**2. Suppose r(o) = 0. What is o?
-13, -1
Let j(x) be the second derivative of -x**4/36 - 151*x**3/18 - 25*x**2 + 787*x. Factor j(z).
-(z + 1)*(z + 150)/3
Suppose -56/13 - 32/13*c**3 + 54/13*c**2 + 2/13*c**4 + 32/13*c = 0. Calculate c.
-1, 1, 2, 14
Let v(h) be the first derivative of -h**6/33 + 8*h**5/11 + 4*h**4/11 - 320*h**3/33 - 16*h**2/11 + 640*h/11 - 2349. Solve v(q) = 0 for q.
-2, 2, 20
Let s(z) be the second derivative of -2*z**6/135 - 11*z**5/9 + 19*z**4/3 - 346*z**3/27 + 116*z**2/9 - 344*z. Determine b, given that s(b) = 0.
-58, 1
Let o(c) be the second derivative of -2*c**7/21 + 34*c**6/9 - 757*c**5/15 + 641*c**4/3 + 3872*c**3/9 - 1664*c**2/3 - 81*c - 1. Suppose o(j) = 0. What is j?
-1, 1/3, 8, 13
Let b(k) be the second derivative of -85/42*k**7 + 0*k**4 + k**5 + 0*k**2 - 16/3*k**6 + 23*k + 3 + 0*k**3. Factor b(f).
-5*f**3*(f + 2)*(17*f - 2)
Let b be (-88)/((-5)/((-5)/(-2))). Suppose 29*j = 102 - b. Solve 1/2*y**4 + 3/2*y**3 + 0*y + 0 + 0*y**j = 0.
-3, 0
Let g(z) be the second derivative of z**5/10 - 30*z**4 + 119*z**3 - 178*z**2 + 2*z + 15. Factor g(a).
2*(a - 178)*(a - 1)**2
Suppose 3*c + 5*r + 15 = -2*c, -c + 2*r + 12 = 0. Suppose s + 2 = c*z + 2*s, -5*z = -2*s + 4. Factor 4/5*d**4 - 1/5*d**5 + z*d**2 + 0*d - 4/5*d**3 + 0.
-d**3*(d - 2)**2/5
Let z(l) be the second derivative of 5*l**7/126 + 98*l**6/9 + 3135*l**5/4 - 5445*l**4/2 + 1056*l. Find d such that z(d) = 0.
-99, 0, 2
Suppose 27 = 4*s - 3*s + 5*h, 0 = 3*s - 5*h + 19. Let l = 14674 + -14670. Factor -2 - n**l - n + 1/4*n**5 + 5/2*n**s + 1/4*n**3.
(n - 2)**3*(n + 1)**2/4
Let -1812/5*h + 91204/5 + 9/5*h**2 = 0. Calculate h.
302/3
Suppose -4*g = 3*r - 92, -3*r = -r + 3*g - 63. Factor 5 + 849*n**4 + r*n**3 + 10 - 846*n**4 + 48*n + 54*n**2.
3*(n + 1)**3*(n + 5)
Find f, given that 660*f - 93*f**2 + 5*f**5 - 400 + 110*f**2 + 30*f**4 - 215*f**3 - 97*f**2 = 0.
-10, -2, 1, 4
Suppose -8*n = -12 - 28. Suppose 2*q = -4*o + 40, 4*q - 3*o = -n*o + 104. Factor -q*j**2 + 134*j + 68*j - 26*j - 48.
-4*(j - 6)*(7*j - 2)
Let k(r) be the first derivative of 4*r**5/5 + 2*r**4 - 76*r**3/3 - 40*r**2 + 2344. Find y, given that k(y) = 0.
-5, -1, 0, 4
Let j(f) be the second derivative of -f**7/2940 - f**6/252 + 13*f**5/420 - f**4/12 - 67*f**3/6 + 63*f. Let y(h) be the second derivative of j(h). Factor y(i).
-2*(i - 1)**2*(i + 7)/7
Let v = -49335/14 + 3524. Let c(z) be the first derivative of 0*z + 15 - 2/35*z**5 + 2/21*z**3 + v*z**4 - 1/7*z**2. Suppose c(y) = 0. What is y?
-1, 0, 1
Let v = -2914 + 2919. Let o(a) be the third derivative of -1/24*a**4 + 7*a**2 + 0*a - 11/120*a**v + 0*a**3 + 0. Find b such that o(b) = 0.
-2/11, 0
Let b(x) be the first derivative of 87*x**5/25 - 9*x**4 + 4*x**3/5 + 1171. Factor b(s).
3*s**2*(s - 2)*(29*s - 2)/5
Let l(i) = 5*i**2 - 11*i - 4. Let x(d) = 6*d**2 - 10*d - 5. Let k be (-5 - (5 + -16))*2/3. Let b(y) = k*x(y) - 5*l(y). Determine h, given that b(h) = 0.
0, 15
Let m(x) be the third derivative of -x**5/15 - 9*x**4/2 + 116*x**3/3 + x**2 - 31*x - 5. Suppose m(y) = 0. Calculate y.
-29, 2
Let b(m) be the second derivative of m**7/378 - 17*m**5/180 - m**4/3 - 10*m**3/27 + 8515*m. Factor b(z).
z*(z - 5)*(z + 1)*(z + 2)**2/9
Let w(o) = 8*o**2 + 4360*o + 950453. Let i(x) = -25*x**2 - 13080*x - 2851350. Let t(y) = 3*i(y) + 10*w(y). Factor t(c).
5*(c + 436)**2
Let f = 145/138 + -38/69. Let a(r) be the first derivative of 21 + f*r**3 + 0*r + 3/4*r**4 - 3/10*r**5 - 3/2*r**2. Factor a(b).
-3*b*(b - 2)*(b - 1)*(b + 1)/2
Let j(z) be the second derivative of -5/3*z**3 + 0 + 166*z + 1/36*z**4 + 29/6*z**2. What is o in j(o) = 0?
1, 29
Let b = 3659 + -376871/103. Let y = 176/515 + b. Factor -2/5*k**2 + 0*k + y*k**3 + 0.
2*k**2*(k - 1)/5
Suppose -5*l + 4*x + 24 = 2*x, -12 = -l + 4*x. Factor 4*z**5 + 2*z + 3 - 10*z**4 + 5*z**3 + 12*z**l - 19*z**3 - 14*z**2 + 1.
2*(z - 2)*(z + 1)**3*(2*z - 1)
Let d(h) be the second derivative of -2*h - 2/15*h**4 - 24 + 1/50*h**5 - 7/15*h**3 + 2*h**2. Find s such that d(s) = 0.
-2, 1, 5
Let c(z) be the third derivative of -z**9/30240 - z**8/720 - z**5/30 - 68*z**3/3 - 9*z**2. Let p(a) be the third derivative of c(a). Factor p(w).
-2*w**2*(w + 14)
Let f(w) be the first derivative of -w**6/12 + 8*w**5/5 + 17*w**4/8 - 286. Determine i, given that f(i) = 0.
-1, 0, 17
Find z such that 20*z**3 - 166*z**2 - 80*z + 516*z**2 + 4*z**4 - 172*z**2 - 96 - 170*z**2 = 0.
-3, -2, 2
Let s = -88 + 88. Suppose s = -3*b - 4*f + 1204, 8*f = 3*f - 10. Solve 440*g - b*g - 146 + 38 - 3*g**2 = 0.
6
Suppose 2*s + 9*k = 10*k + 2, -s = -2*k + 2. Solve -10*y**2 + 7*y**2 + y - 18 + 12*y + s*y = 0.
2, 3
Let i(x) be the third derivative of x**5/150 + 488*x**4/15 + 952576*x**3/15 - 4532*x**2. Factor i(a).
2*(a + 976)**2/5
Let s(n) = 7*n**2 + 31*n + 1. Let c(g) = g**2 + 5*g. Let l(v) = v**2 + v + 206. Let w be l(0). Suppose 5*q + 11 = w. Let b(p) = q*c(p) - 6*s(p). Factor b(y).
-3*(y - 2)*(y - 1)
Let s(o) be the third derivative of 0 + 1/3*o**4 - 1/30*o**6 + 1/105*o**7 + 0*o + 19*o**2 + 4/3*o**3 - 1/10*o**5. Fact