2)*(q - 1)*(q + 2)/5
Let s be 149/45 + 505/(-2525). Factor -1/3*a**2 - 1 + s*a.
-(a - 9)*(3*a - 1)/9
Find m such that 364/5*m - 4/5*m**2 + 1128/5 = 0.
-3, 94
Let t be 73 - (-5)/(15/9). Suppose 2*o = -4*w + 3*w + 28, w - t = -5*o. Factor -4 + 4*p**2 + 2 + o*p + 18.
4*(p + 2)**2
Let r(h) = 17*h**4 + 259*h**3 + 234*h**2. Let w(z) = 11*z**4 + 172*z**3 + 156*z**2. Let b(m) = 5*r(m) - 8*w(m). Factor b(u).
-3*u**2*(u + 1)*(u + 26)
Let k(t) = -t**2 + t + 1. Let w(s) = 6*s**2 - 68*s + 516. Let y(v) = v**2 - v. Let p(i) = -w(i) + 8*y(i). Let j(b) = -4*k(b) - p(b). Find g such that j(g) = 0.
16
Suppose 3*v = 4*v + 3. Let k(o) = -9*o**4 + 105*o**3 - 288*o**2 - 105*o - 3. Let u(t) = 1 + t - 2 + 0*t. Let y(g) = v*u(g) + k(g). Factor y(z).
-3*z*(z - 6)**2*(3*z + 1)
Solve 0*j + 0 - 3/7*j**5 + 51/7*j**2 + 61/7*j**4 - 173/7*j**3 = 0.
0, 1/3, 3, 17
Let s(k) be the first derivative of 0*k - 7/8*k**4 + 0*k**2 - 3/5*k**5 + 0*k**3 + 1 + 1/12*k**6. Factor s(p).
p**3*(p - 7)*(p + 1)/2
Factor -848*w - 453/2*w**2 - 1/2*w**4 - 19*w**3 - 640.
-(w + 1)*(w + 5)*(w + 16)**2/2
Let v(j) be the third derivative of 91*j**5/4 - 29*j**4/4 - j**3/2 - 9891*j**2. Factor v(o).
3*(7*o - 1)*(65*o + 1)
Suppose 674*r - 3 = 673*r. Let 4*x**2 - 3*x**2 + 17*x - x**3 + r*x**2 - 12*x = 0. Calculate x.
-1, 0, 5
Let u = -78 - -80. Suppose 3*v = 4*g - u*v - 23, -3*v + 1 = 5*g. Factor 6*q**g - 16 + 4*q**3 + 0*q**3 - 16 - 3*q**3.
(q - 2)*(q + 4)**2
Let i(v) = 2*v**3 - 93*v**2 - 701*v - 603. Let p(f) = -25*f**3 + 1115*f**2 + 8410*f + 7235. Let s(o) = 35*i(o) + 3*p(o). Factor s(y).
-5*(y - 24)*(y + 1)*(y + 5)
Let j(w) be the first derivative of 1/8*w**5 - 1/2*w**3 - 1/4*w**2 - 4 + 0*w - 3/32*w**4. Factor j(s).
s*(s - 2)*(s + 1)*(5*s + 2)/8
Let c(d) be the third derivative of d**8/1680 - d**7/840 - d**6/180 - 21*d**3/2 - 4*d**2 - 6. Let x(p) be the first derivative of c(p). Solve x(i) = 0.
-1, 0, 2
Let 125*i - 2167*i**2 + 1100*i**2 - 5*i**3 - 140 + 1087*i**2 = 0. Calculate i.
-4, 1, 7
Let i(l) be the second derivative of -5/12*l**4 + 0 + 5/8*l**5 + 109*l + 0*l**2 + 1/12*l**3. Let i(q) = 0. Calculate q.
0, 1/5
Factor 237*r**2 - 327*r + 9*r - 2*r**3 + 7*r**3 + 950 - 707*r**2 - 167*r.
5*(r - 95)*(r - 1)*(r + 2)
Let k(w) be the second derivative of -w**6/6 - 117*w**5/4 - 575*w**4/12 + 195*w**3/2 + 290*w**2 - 2526*w. Let k(g) = 0. What is g?
-116, -1, 1
Let w(l) be the second derivative of -l**4/12 - 119*l**3/18 - 115*l. Factor w(f).
-f*(3*f + 119)/3
Let d be (-207)/3657*(-1 - 0). Let x = d + 185/477. Let -8/9*y**2 - x - 10/9*y - 2/9*y**3 = 0. What is y?
-2, -1
Let u(p) be the first derivative of p**4/8 + 10*p**3/3 + 103*p**2/4 + 78*p - 2086. Factor u(q).
(q + 3)*(q + 4)*(q + 13)/2
Suppose -f + 7 - 5 = -3*a, -6 = -3*f - 4*a. Let o(m) be the first derivative of -5/2*m**f - 4*m**5 + 35/4*m**4 - 20 - 10/3*m**3 + 0*m. Factor o(d).
-5*d*(d - 1)**2*(4*d + 1)
Let y(o) be the third derivative of o**5/630 + 131*o**4/36 + 916*o**3/63 - 1256*o**2 - 4. Suppose y(s) = 0. Calculate s.
-916, -1
Let f(i) be the second derivative of -1/9*i**4 + 0*i**2 + 0*i**3 - 1 - 36*i + 1/30*i**5. What is g in f(g) = 0?
0, 2
Let o(n) be the second derivative of n**3/6 + n**2/2 - 9*n. Let t = 2 - -4. Let j(h) = -h**3 + 3*h**2 - 2*h - 6. Let a(k) = t*o(k) + 2*j(k). Factor a(y).
-2*(y - 3)*(y - 1)*(y + 1)
Let z be (-23 + 26)/((-2)/(-6)). Factor -18*o**2 + 8*o + 7*o**2 - 12*o**3 - z*o**2.
-4*o*(o + 2)*(3*o - 1)
Let d(o) = -o**2 - 5*o - 2. Let x be d(-3). Let q = -299390 + 299392. Factor 26/3*h**q + 8/3 + 2/3*h**4 + x*h**3 + 8*h.
2*(h + 1)**2*(h + 2)**2/3
Let f be (5/3)/((-60)/216). Let z(w) = -6*w**3 + 8*w**2 - 5*w. Let a(c) = 7*c**3 - 9*c**2 + 6*c. Let y(p) = f*z(p) - 5*a(p). Factor y(o).
o**2*(o - 3)
Let q = -224 + 225. Suppose 2*c**2 - q - 18 - 4 - 22*c + 0 - c**2 = 0. Calculate c.
-1, 23
Let w(b) be the first derivative of b**6/45 - 22*b**5/75 + 43*b**4/30 - 146*b**3/45 + 56*b**2/15 - 32*b/15 - 1022. Solve w(z) = 0.
1, 4
Factor 1/3*b**2 + 110*b + 9075.
(b + 165)**2/3
Let x(n) be the second derivative of -n**4/6 + 79*n**3/3 - 154*n**2 + 896*n - 1. Determine g, given that x(g) = 0.
2, 77
Let q = -30895 + 30900. Determine m, given that 0*m**2 - 7/2*m**q + 0 + 9/2*m**4 - m**3 + 0*m = 0.
0, 2/7, 1
Let o(v) = -15*v**2 - 57*v + 276. Let m(a) = -12*a**2 - 57*a + 276. Let w(d) = -4*m(d) + 3*o(d). Determine s, given that w(s) = 0.
-23, 4
Let m = 1233245/1644332 + 1/411083. Factor 0 + m*o**5 - 9/4*o**3 - 3*o**2 + 3/2*o**4 + 3*o.
3*o*(o - 1)**2*(o + 2)**2/4
Suppose 2*g + 3*w - 807 = 0, -4*w = -5*g + 1159 + 893. Suppose -354 + g = 27*o. Factor 0*c - 3/4*c**o + 3.
-3*(c - 2)*(c + 2)/4
Let r(i) be the second derivative of -i**7/35 + i**6/12 + i**5/15 + 121*i**2/2 - 55*i + 1. Let m(b) be the first derivative of r(b). Find z such that m(z) = 0.
-1/3, 0, 2
Let b(q) be the first derivative of -q**3/12 - 9*q**2/2 + 19*q + 1676. Solve b(m) = 0 for m.
-38, 2
Let k be (2 - (-32)/(-12))/(((-940)/90)/47). Factor -4/5*v**2 - 1/5*v - 1/5*v**k + 6/5.
-(v - 1)*(v + 2)*(v + 3)/5
Let k be (-132)/21 - -6 - 185/(-35). Suppose 3*s = -5*z - k, -s + 4*z - 4 = 8*z. Factor 1/3*o**2 + s + 1/6*o.
o*(2*o + 1)/6
Let r(f) be the second derivative of f**6/660 - f**4/44 + 2*f**3/33 - 37*f**2/2 - 74*f. Let t(m) be the first derivative of r(m). Factor t(b).
2*(b - 1)**2*(b + 2)/11
Let p be -4 + (2/1 - -4). Let h be ((-12)/30)/p + 3/5. Factor 2/5*x**2 + 0 + h*x**3 - 4/5*x.
2*x*(x - 1)*(x + 2)/5
Let c(w) = -w**3 + 114*w**2 - 526*w - 93. Let b be c(5). Factor 1/5*y**5 - 2*y**4 - 5*y + 2*y**b + 0 + 24/5*y**3.
y*(y - 5)**2*(y - 1)*(y + 1)/5
Suppose 161094 - 6*d**2 + 6*d**5 - 161094 - 3*d**4 - 15*d**3 = 0. What is d?
-1, -1/2, 0, 2
Let b(g) = -g**3 - 19*g**2 - 34*g + 3. Let r be b(-17). What is a in 140*a - 2*a**r + 1082*a**2 - 1167*a**2 - 60 + 17*a**3 = 0?
2/3, 2, 3
Solve 1856/3*g - 1/3*g**4 + 512 + 328/3*g**2 + 7/3*g**3 = 0.
-8, -1, 24
Suppose -87085*w**2 + 253500 + 47471*w - 5*w**4 + 111883*w + 5746*w + 1310*w**3 = 0. What is w?
-1, 3, 130
Suppose -3*g - 35 = -4*y, y - 5*g = -10*g - 20. Factor -84*o**3 + 11*o**2 + 5*o - 83*o**3 + 168*o**3 + y*o.
o*(o + 1)*(o + 10)
Let c(j) be the second derivative of j**7/42 - 7*j**6/6 + 403*j**5/20 - 1685*j**4/12 + 1148*j**3/3 - 490*j**2 - j - 736. What is a in c(a) = 0?
1, 5, 14
Let t(u) be the first derivative of u**4/12 + 2404*u**3/9 + 480799*u**2/2 - 964806*u - 3836. Factor t(w).
(w - 2)*(w + 1203)**2/3
Let a(i) = 5*i**2 + 13*i + 18. Let q(y) = y**2 - 3. Let s(g) = -a(g) + 4*q(g). Determine f, given that s(f) = 0.
-10, -3
Let b(m) = 14*m**2 - 152*m - 20. Suppose 157 = -22*t + 399. Let l be b(t). Determine p, given that -18/7*p**3 + 0*p - 2/7*p**5 - 12/7*p**4 + 0 - 8/7*p**l = 0.
-4, -1, 0
Let y(x) be the first derivative of -x**3/18 - 763*x**2/24 + 191*x/6 - 1130. Suppose y(z) = 0. Calculate z.
-382, 1/2
Find j, given that 10*j - 47*j - 11*j - 4*j**2 + 52 = 0.
-13, 1
Let v(n) = -2012*n + 12074. Let r be v(6). Factor -93/5*s - 48/5*s**r + 27/5*s**3 - 18/5.
3*(s - 3)*(s + 1)*(9*s + 2)/5
Let c = -62 - -53. Let n = 11 + c. Suppose 5*l**3 - 30*l + 10*l**n + 22*l**2 - 27*l**2 = 0. What is l?
-3, 0, 2
Let x = -1170685/2 + 585347. Suppose -3/2*u**4 - x*u**3 + 6*u + 0 + 0*u**2 = 0. Calculate u.
-2, 0, 1
Find w such that -686/9*w**4 - 116/3*w + 0 - 1732/9*w**3 - 1390/9*w**2 + 4/9*w**5 = 0.
-1, -1/2, 0, 174
Let t(d) be the second derivative of d**7/63 - 13*d**6/15 + 17*d**5 - 1241*d**4/9 + 1195*d**3/3 - 525*d**2 - 2092*d. Suppose t(q) = 0. Calculate q.
1, 7, 15
Let s(c) be the first derivative of -2*c**3/15 + 218*c**2/5 + 176*c + 3089. Determine r so that s(r) = 0.
-2, 220
Let w = -47 - -42. Let l be (1 - w) + -2 + 0. Solve -114*j**4 + 51*j**4 - 12*j**3 + 47*j**l - 4*j + 16*j**2 + 16*j**5 = 0 for j.
-1, 0, 1/2, 1
Let s(y) be the first derivative of -361*y**6/24 + 1159*y**5/20 + 967*y**4/8 - 833*y**3/3 + 79*y**2 - 8*y - 472. Let s(x) = 0. Calculate x.
-2, 2/19, 1, 4
Factor 1512*z**4 - 361/2*z**2 + 450*z**3 - 1/2 + 864*z**5 + 17*z.
(z + 1)**2*(12*z - 1)**3/2
Suppose 45 = -2*j + 5*j. Suppose 0 = i - j + 3. What is a in 9*a**4 - a**2 - i*a - 11*a - 6 - 2*a**4 + 23*a**3 = 0?
-3, -1, -2/7, 1
Let n(j) = -j**3 + 10*j**2 - 9*j + 6. Let f be n(6). Let l = -66 + f. Determine p so that 74*p**2 - 45*p**3 - 10*p**3 - 4*p**2 - 10 - 35*p + l*p**3 = 0.
-1/5, 1, 2
Let a(f