or n(x).
-4*(x - 176)**2
Suppose 10 = -565*c + 566*c. Let b(x) = -39*x + 392. Let s be b(c). Suppose 1/12 + 1/6*g - 5/4*g**s - 3*g**3 = 0. What is g?
-1/3, 1/4
Suppose -4*x + 4*q + 32 = 0, 2*x - 21 = 74*q - 71*q. Suppose 0 + 1/5*t**x + 0*t + 1/5*t**2 = 0. What is t?
-1, 0
Suppose 37*c**2 - 20*c**2 + 1257*c - 417*c - 13*c**2 + 1196*c = 0. What is c?
-509, 0
Let r(p) be the third derivative of -p**6/1260 + 19*p**5/630 + 13*p**4/252 - 169*p**3/9 - 1305*p**2. Factor r(j).
-2*(j - 13)**2*(j + 7)/21
Let 222514 - 4*u**3 - 222514 - 80*u**2 + 896*u = 0. What is u?
-28, 0, 8
Let k be 30/32*108/810. Let r(y) be the first derivative of 5 - 1/8*y**2 + 3/40*y**5 + 0*y + 1/48*y**6 - k*y**3 + 1/32*y**4. Factor r(h).
h*(h - 1)*(h + 1)**2*(h + 2)/8
Let s be (2/5)/((-3)/((-30)/4)). Let b(u) = -7*u**2 + 4*u - 9. Let c(a) = a**2 + 4*a - 1. Let q(v) = s*b(v) - 5*c(v). Let q(z) = 0. What is z?
-1, -1/3
Let y(j) be the second derivative of -j**6/30 + 19*j**5/10 + 55*j**4/4 + 21*j**3 + 3144*j - 1. Suppose y(c) = 0. What is c?
-3, -1, 0, 42
Let k(s) be the second derivative of s**5/90 - 2*s**4/9 - 148*s**3/27 - 80*s**2/3 - 140*s + 3. Factor k(y).
2*(y - 20)*(y + 2)*(y + 6)/9
Let h(d) be the third derivative of d**7/1260 - d**6/180 + d**5/90 + 17*d**3/3 - 34*d**2 + 2*d. Let m(p) be the first derivative of h(p). Factor m(s).
2*s*(s - 2)*(s - 1)/3
Let a = -4573/132 - -382/11. Let f(n) be the third derivative of 1/60*n**6 + 0 - a*n**4 - 1/12*n**3 + 0*n + 12*n**2 + 1/120*n**5. What is x in f(x) = 0?
-1, -1/4, 1
Suppose 0 = 4*q + 5*c + 16, -2*q = -4*q - 2*c - 6. Let l(a) = a**3 + 10*a**2 - 24*a + 6. Let j be l(-12). Factor 5*s**2 - j*s**2 + q + 8*s - 8*s.
-(s - 1)*(s + 1)
Solve -806*y**2 + 810*y**2 - 304*y - 688*y = 0.
0, 248
Suppose -3*k = -k - 40. Find h such that h**2 + k + 93 + 28*h + 83 = 0.
-14
Let z(a) be the second derivative of -a**6/60 - a**5/20 + 11*a**4/24 + a**3 - 1051*a. Solve z(b) = 0.
-4, -1, 0, 3
Let m(l) be the third derivative of -17/240*l**6 + 1/420*l**7 - 7/12*l**4 + 0*l**3 + 0*l - 131*l**2 + 0 + 11/30*l**5. Solve m(d) = 0 for d.
0, 1, 2, 14
Factor 0 - 2/7*w**3 + 512/7*w**2 - 32768/7*w.
-2*w*(w - 128)**2/7
Let f(t) be the first derivative of -6*t**3 - 1/10*t**5 - 11/2*t - 67 - 17/2*t**2 - 7/4*t**4. Factor f(y).
-(y + 1)**3*(y + 11)/2
Let n(y) be the first derivative of 5*y**9/3024 - y**7/21 + 2*y**5/3 + 20*y**3/3 + 7. Let w(f) be the third derivative of n(f). Factor w(z).
5*z*(z - 2)**2*(z + 2)**2
Let g = 133 + -97. Factor 2*j**4 + 61*j - 17*j**5 - 10*j**5 + 26*j**5 + 18 + g*j**3 + 74*j**2 + 2*j**4.
-(j - 9)*(j + 1)**3*(j + 2)
Suppose -35 = 2*b - 7*b. Find p, given that -63*p**2 + 25*p**2 - b*p**2 - 30 - 145*p = 0.
-3, -2/9
Let j(y) = y**3 - 19*y**2 - 39*y - 86. Let l be j(22). Let k = l - 506. Factor 2/3*s**3 + 1/3 - 5/6*s + 1/3*s**k - 2/3*s**4 + 1/6*s**5.
(s - 2)*(s - 1)**3*(s + 1)/6
Let v(q) be the third derivative of 0*q**3 - 1/420*q**8 + 0*q - 6/175*q**7 + 0*q**4 + 1/15*q**6 - 116*q**2 + 0 + 0*q**5. Factor v(x).
-4*x**3*(x - 1)*(x + 10)/5
Suppose u + 2*o - 4*o = -501, 2*u + 4*o = -1026. Let b = u - -510. Let 6/7*s**2 + 0 + 2/7*s**b - 6/7*s**4 + 2/7*s**5 - 4/7*s = 0. Calculate s.
-1, 0, 1, 2
Let z(h) be the third derivative of 1/50*h**5 - 1/175*h**7 - 55*h**2 + 0*h + 0*h**3 + 1/90*h**4 + 0 - 1/450*h**6. Let z(k) = 0. Calculate k.
-1, -2/9, 0, 1
Let a(p) be the third derivative of -p**5/12 + 15*p**4/2 - 175*p**3/6 + 1672*p**2. Let a(o) = 0. What is o?
1, 35
Factor 1/3*f**2 + 14/3*f - 95/3.
(f - 5)*(f + 19)/3
Let g(o) = o**3 - 2*o**2 - 1. Let z(d) = 67*d**2 + 1088*d + 1025. Let v(r) = g(r) + z(r). Factor v(c).
(c + 1)*(c + 32)**2
Let r(j) be the third derivative of j**6/24 + 59*j**5/30 - 2*j**4 + 287*j**2 + 8*j. Determine d so that r(d) = 0.
-24, 0, 2/5
Suppose -2*o - 3 = 5*g, 6*o + 69 = -0*o - 3*g. Let h be o/(-42) - 24/(-9). Let -2/9*f**h + 2/9*f + 2/9*f**2 + 0 - 2/9*f**4 = 0. Calculate f.
-1, 0, 1
Let j(l) be the second derivative of 2 + 2/5*l**2 - 1/5*l**3 + 8*l + 0*l**4 + 1/50*l**5. Find p such that j(p) = 0.
-2, 1
Let c(b) be the third derivative of -1/10*b**5 - 16 + 0*b - 5/6*b**3 - 11/24*b**4 + 3*b**2. Solve c(w) = 0 for w.
-1, -5/6
Let z(r) be the first derivative of r**4/14 + 34*r**3/21 + 79*r**2/7 + 18*r + 3278. Factor z(i).
2*(i + 1)*(i + 7)*(i + 9)/7
Let s(c) be the third derivative of 0 + 0*c**3 - c + 7/15*c**6 + 0*c**4 - 49*c**2 - 1/7*c**7 + 2/15*c**5. Solve s(h) = 0 for h.
-2/15, 0, 2
Let n(f) = 257*f - 161*f - 168*f + 66 + 9*f**2. Let z(b) = b**2 - 9*b + 8. Let w(s) = 4*n(s) - 33*z(s). Find t, given that w(t) = 0.
-3, 0
Let b be (-5 - -3) + -11 - -1. Let p = -10 - b. Find h, given that h**3 + 3*h**3 - 7*h**p + 16 - 16*h + 4*h**3 - 5*h**2 + 4*h**4 = 0.
-2, 1
Factor 0*v - 344/7*v**3 - 92/7*v**4 - 2/7*v**5 + 0 - 48*v**2.
-2*v**2*(v + 2)**2*(v + 42)/7
Let j = -14856 - -74292/5. Let a(l) be the first derivative of j*l**5 + 0*l**3 + 7*l**4 - 8*l**2 + 0*l + 18. Factor a(o).
4*o*(o + 1)*(o + 2)*(3*o - 2)
Factor -307*y**2 + 238*y + 412*y - 105625 - 309*y**2 + 615*y**2.
-(y - 325)**2
Let v(s) be the second derivative of -s**6/270 + 11*s**5/180 + 25*s**4/108 + 13*s**3/54 - 309*s + 2. Factor v(i).
-i*(i - 13)*(i + 1)**2/9
Let q = -18198 + 18203. Let x(a) be the second derivative of -5/6*a**3 + 0*a**2 + 0 - 3/2*a**q + 2/3*a**6 + 5/3*a**4 - 12*a - 5/42*a**7. What is i in x(i) = 0?
0, 1
Let n be ((-21)/(-42))/((-5)/(-20)). Suppose 5*p = 4*y - 28, -n*y + 2 = 3*y + 2*p. Let 0 + 2/3*g**3 - 1/3*g**5 + 0*g**y + 0*g**4 - 1/3*g = 0. What is g?
-1, 0, 1
Find a, given that -3/5*a**2 - 348 + 204/5*a = 0.
10, 58
Determine u, given that -2*u**5 - 246*u**3 + 360*u**2 + 7*u**4 + 38*u + 610*u + 5*u**4 + 6*u**4 + 22*u**4 = 0.
-1, 0, 6, 9
Let t(i) be the third derivative of i**5/20 - 21*i**4/8 - 176*i**3 + 811*i**2 + i. Factor t(h).
3*(h - 32)*(h + 11)
Let n(g) be the second derivative of g**6/150 - 14*g**5/25 + 53*g**4/60 + 11*g**3/3 - 3741*g. Factor n(m).
m*(m - 55)*(m - 2)*(m + 1)/5
Let u be (-12)/(-13)*20384/16464. Factor -u + 6/7*p**4 - 2/7*p**3 + 2/7*p**5 - 22/7*p**2 - 24/7*p.
2*(p - 2)*(p + 1)**3*(p + 2)/7
Let r(i) be the first derivative of -i**4/18 - 352*i**3/27 + i**2/9 + 352*i/9 + 6898. Factor r(k).
-2*(k - 1)*(k + 1)*(k + 176)/9
Factor 2/7*s**2 + 4*s + 0.
2*s*(s + 14)/7
Suppose -5*p + 4*p - 3*b = -3, 5*b = 4*p + 73. Let k be (-7)/((-105)/4)*p/(-8). Suppose 2/5*i**3 - k*i**4 - 2/5*i + 0 + 2/5*i**2 = 0. Calculate i.
-1, 0, 1
Let s be ((-2)/20*6)/((-2)/10). Let r(c) = 6*c**2 + 22*c**4 + 3*c**5 - 11*c**4 + 17*c**3 - c**s. Let n(j) = j**4 - j**3. Let y(v) = -n(v) - r(v). Factor y(a).
-3*a**2*(a + 1)**2*(a + 2)
Solve 32/9 - 2/9*s**4 + 14/9*s**3 - 8/3*s**2 - 8/9*s = 0.
-1, 2, 4
Let o(h) be the first derivative of 2*h**3/27 + 11*h**2/3 + 60*h - 1650. Factor o(m).
2*(m + 15)*(m + 18)/9
Find o, given that -360 - 3/7*o**3 + 2526/7*o - 3/7*o**2 = 0.
-30, 1, 28
Let g(q) be the third derivative of -121*q**5/570 + 2387*q**4/57 - 188356*q**3/57 - 3*q**2 + 6*q - 79. Find f such that g(f) = 0.
434/11
Let r(n) be the first derivative of -n**5/5 - 5*n**4/4 + n**3 + 17*n**2/2 + 10*n - 6565. Factor r(d).
-(d - 2)*(d + 1)**2*(d + 5)
Let w(u) be the second derivative of 3*u + 0*u**2 - 1/48*u**5 + 5/24*u**4 + 29/6*u**3 - 1/144*u**6 + 0. Let m(n) be the second derivative of w(n). Factor m(q).
-5*(q - 1)*(q + 2)/2
Let x(a) = 5*a**3 - a**2 - a + 2. Let p be x(2). Let q be (4*(-5 + 184/p))/2. Factor 10/9*w**4 + 16/9*w + 0 - q*w**5 - 4/3*w**3 - 8/9*w**2.
-2*w*(w - 2)**3*(w + 1)/9
Let y = -3912 + 3924. Let h(w) be the second derivative of -23*w - 7/10*w**6 - y*w**2 - 14*w**3 + 3/2*w**4 + 0 + 57/20*w**5. Suppose h(c) = 0. Calculate c.
-1, -2/7, 2
Let a = -566866/3 + 189157. Determine f, given that -440*f + a*f**2 + 240 = 0.
12/11
Let q = 78116/321 + -25468/107. What is z in q*z**2 + 61/6*z + 1/6*z**3 + 5 = 0?
-30, -1
Let t = -38 - -19. Let m = 24 + t. Suppose 10 + g**2 + m*g**2 + 4 + 16*g - 4*g**2 = 0. Calculate g.
-7, -1
Let p(g) be the second derivative of 1/3*g**4 + 1/21*g**7 - g**2 - 50*g - 1/5*g**5 - 1/15*g**6 + 1/3*g**3 + 2. Factor p(o).
2*(o - 1)**3*(o + 1)**2
Suppose -11120*k + 10881*k + 1195 = 0. Let 86/11*l**3 + 0 + 14/11*l**k - 60/11*l**4 + 8/11*l - 48/11*l**2 = 0. What is l?
0, 2/7, 1, 2
Suppose 0 = -5*v + 1 - 6. Let i be v/(5/10 - (-3)/(-4)). Let 0*b**3 - 1/6*b**i + 0 