h - 3/4*h**4 + 3/2*h**3 + 2. Factor s(t).
3*(t - 1)**3
Factor 117*k + 3*k**2 + 21*k**3 - 47*k**3 + 6*k**2 + 0*k**3 - 405 + 25*k**3.
-(k - 15)*(k - 3)*(k + 9)
Let o(t) = t**2 - 1. Let m(y) = 22*y + 26 - 36 - 6*y + 18 + 12*y**2 - 4*y**2. Let r(v) = m(v) - 4*o(v). Factor r(p).
4*(p + 1)*(p + 3)
Let d(s) = -3*s**2 - 4*s**2 + s**2 + 0*s**3 - s**3 - 4443*s + 7 + 4439*s. Let q be d(-5). Factor 1/6*a**4 + 7/6*a**3 + 10/3*a + 4/3 + 3*a**q.
(a + 1)*(a + 2)**3/6
Let p(z) be the second derivative of -5*z**4/12 + 175*z**3 + 1055*z**2/2 - 2*z + 47. Factor p(r).
-5*(r - 211)*(r + 1)
Let s be -9 + 1 + (-1390)/3. Let w = -470 - s. Let w*n**4 - 4/3*n + 4/3*n**3 - 4/3*n**2 + 0 = 0. Calculate n.
-1, 0, 1
Suppose -3/7*i**3 + 0*i + 0 - 45/7*i**2 = 0. Calculate i.
-15, 0
Let p = 673450 - 673446. Factor -c**3 + 0 + 0*c - 1/2*c**p + 0*c**2 + 1/2*c**5.
c**3*(c - 2)*(c + 1)/2
Let k(u) = u**2 + u - 4. Let v be k(0). Let n be (51/4)/3 + v/16. Factor 0 + 4/7*b**n - 4/7*b**2 + 4/7*b**3 - 4/7*b**5 + 0*b.
-4*b**2*(b - 1)**2*(b + 1)/7
Let r(a) be the third derivative of a**7/280 + 7*a**6/80 + 33*a**5/80 - 7*a**4/2 + 8*a**3 - 6*a**2 - 610*a. Suppose r(u) = 0. What is u?
-8, 1
Let k be (-915)/305*((-2038)/4 - (11 - 10)). Determine g, given that 3/2*g**4 + 99*g**3 - 3366*g + 1734 + k*g**2 = 0.
-34, 1
Let k(a) be the first derivative of -5*a**3/9 - 20*a**2/3 + 55*a + 743. Factor k(f).
-5*(f - 3)*(f + 11)/3
Let l be (12/(-9) + -2)*6/5. Let o be l/26 + 8580/3042. Factor -44/3*g - o - 20/3*g**2.
-4*(g + 2)*(5*g + 1)/3
Let y(w) = 9*w - 134. Let n be y(15). Let s be n*((-240)/35)/(-6). Suppose 10/7*j**3 + 0*j + 2/7*j**5 + 0 + s*j**4 + 4/7*j**2 = 0. What is j?
-2, -1, 0
Let k(u) = -u + 12. Suppose 0 = x + 5, 3*x - x + 70 = 5*l. Let t be k(l). Factor t + 10*p + 2 + 0 + 2 + 6*p**2.
2*(p + 1)*(3*p + 2)
Let t(z) = -5*z**2 + 3940 + 4015 - 748 - 247*z. Let v(w) = -2*w**2 - 123*w + 3603. Let q(m) = -3*t(m) + 7*v(m). Factor q(a).
(a - 60)**2
Let n = 74785/8 + -9348. Let s(j) be the second derivative of 1/80*j**5 - 5/8*j**3 + 0 - 19*j - j**2 - n*j**4. What is y in s(y) = 0?
-1, 8
Let a(o) be the third derivative of 0 + 4/21*o**3 - 18*o - 1/84*o**6 + 1/1176*o**8 - 1/735*o**7 + 3*o**2 + 1/210*o**5 + 2/21*o**4. Let a(u) = 0. Calculate u.
-1, 2
Factor -194/5*u**3 + 20*u**2 + 0 + 96/5*u**4 - 2/5*u.
2*u*(u - 1)**2*(48*u - 1)/5
Let z(t) = 3*t**4 + 147*t**3 + 453*t**2 + 3*t - 327. Let j(w) = -147*w**3 - 451*w**2 - 4*w + 328. Let o(x) = -3*j(x) - 4*z(x). Solve o(l) = 0.
-6, -1, 3/4
Factor 0*o + 0 + 3/4*o**3 + 1/4*o**4 - 9/2*o**2.
o**2*(o - 3)*(o + 6)/4
Let s(b) be the first derivative of 1/6*b**3 + 3*b**2 - 22 + 18*b. Solve s(p) = 0.
-6
Let b be 3 + (3 + -5 - -9). Find z, given that -7*z - 103*z - 2*z**2 + b*z - 908 - 342 = 0.
-25
Let o be 22/33*(-1)/((-6)/45). Let 20*r**5 + 8*r - 4*r**2 - 4*r - 6*r**2 - 5*r**3 + 8 - 19*r**o + 2*r**4 = 0. What is r?
-2, -1, 1, 2
Let f(l) be the second derivative of l**5/5 - 193*l**4/6 - 775*l**3/24 - 97*l**2/8 - 2270*l. Factor f(x).
(x - 97)*(4*x + 1)**2/4
Suppose -21*j + 10 = -137. Suppose 4*t**2 - t**4 - 5*t**3 - 6*t**4 + t**4 + t**3 + j*t**4 = 0. Calculate t.
0, 2
Let v(f) be the third derivative of f**5/30 - 205*f**4/84 + 58*f**3/21 + 406*f**2. Factor v(b).
2*(b - 29)*(7*b - 2)/7
Let f be ((-30)/(-1875))/(3/(-280)). Let r = -4/25 - f. Factor -2/3*d**4 - 2/3*d**2 + 0 + 0*d + r*d**3.
-2*d**2*(d - 1)**2/3
Let l(f) = -f**3 - 221*f**2 + 216*f - 1328. Let a be l(-222). Suppose -2/13*c**a + 10/13*c**2 + 2/13*c**3 + 0 + 6/13*c = 0. Calculate c.
-1, 0, 3
Let c = 11479 - 11475. Let g(d) be the first derivative of 36 - 8*d - 2*d**3 + 1/4*d**c + 6*d**2. Determine m, given that g(m) = 0.
2
Let c be -1 + ((-98)/(-21) - (-2)/(-3)). Factor -1900 + 961*n**3 + 263*n**c + 284*n**4 - 324*n**2 + 16*n**5 + 1900.
4*n**2*(n + 9)**2*(4*n - 1)
Let q be (-42 - (-72 - 10 - -35))*6/10. Let -64/7 - 4/7*u + 4/7*u**q + 64/7*u**2 = 0. What is u?
-16, -1, 1
Factor 147*c**3 + 15261/2*c**2 + 243675/4 + 41895*c + 3/4*c**4.
3*(c + 3)**2*(c + 95)**2/4
Suppose g = -3*v + 21, g = 4*v - 4*g - 47. Suppose 0 = 3*o - v*o + 20. Let -5*j**3 - 8*j - j + 5*j + j**o + 8*j**2 = 0. What is j?
0, 1, 2
Factor -4 - 76/3*r**2 + 158/3*r.
-2*(r - 2)*(38*r - 3)/3
Let a(v) be the third derivative of -v**5/40 + 281*v**4/48 - 31*v**3/2 - 7269*v**2. Suppose a(c) = 0. What is c?
2/3, 93
Let h(j) = -j**3 - 27*j**2 - 62*j. Let i(z) = -z**3 - 26*z**2 - 45*z. Let p(r) = 4*h(r) - 5*i(r). Factor p(t).
t*(t - 1)*(t + 23)
Let j(u) be the first derivative of 2*u**3/39 - 14*u**2/13 + 66*u/13 - 670. Solve j(d) = 0.
3, 11
Let y(q) be the first derivative of -q**3/9 - 69*q**2 + 415*q/3 - 2425. Determine a so that y(a) = 0.
-415, 1
Let 5/4*z**2 + 550 + 315/4*z = 0. Calculate z.
-55, -8
Let k(i) = 3*i**2 - 17*i + 10. Let a be k(10). Determine q, given that 8*q - 20*q - 136*q**2 + a*q**2 = 0.
0, 3
Let b(y) be the third derivative of -y**6/72 + 13*y**5/12 - 845*y**4/24 + 233*y**3/6 - 40*y**2 - 1. Let m(k) be the first derivative of b(k). Factor m(l).
-5*(l - 13)**2
Let n(c) be the second derivative of 3*c + 0*c**2 + 1/4*c**4 + 2 + 9/8*c**3. Factor n(u).
3*u*(4*u + 9)/4
Factor 34*f**3 - 59*f**3 + 2*f**5 - 129*f**3 + 3*f**2 - 3*f**2 + 152*f**4.
2*f**3*(f - 1)*(f + 77)
Let g be (-6)/(-8) - 6*228/32. Let h be (60/(-6))/(g/6). Determine o, given that -2/7*o**5 - 4/7*o**2 - 4/7 + 8/7*o**4 + h*o - 8/7*o**3 = 0.
-1, 1, 2
Factor -333*d - 372 - 86*d + 3*d**2 + 89*d - 39*d.
3*(d - 124)*(d + 1)
Let c be (-5 - 120/(-32)) + (-51)/(-12). Solve -444*o**2 + 25*o**5 + 20*o**3 - 14*o**c + 2*o**5 - 24 - 18 + 198*o**4 + 267*o - 12*o**3 = 0.
-7, -2, 1/3, 1
Suppose -1442*s + 1272*s + 850 = 0. Suppose -9996/11*p**2 - 6/11*p**s - 1932/11*p**3 - 2058*p - 174/11*p**4 - 14406/11 = 0. What is p?
-7, -1
Find k, given that -32/17*k**3 + 188/17*k + 42/17*k**2 + 112/17 + 2/17*k**4 = 0.
-1, 4, 14
Let p(d) be the first derivative of -d**3/27 + 343*d**2/18 - 340*d/3 - 781. Suppose p(m) = 0. Calculate m.
3, 340
Let i(n) be the third derivative of -n**7/42 - 1217*n**6/24 - 82215*n**5/2 - 83036135*n**4/6 + 167308540*n**3/3 - 9*n**2 - 4. Solve i(w) = 0 for w.
-406, 1
Let p(q) be the third derivative of -1/72*q**4 + 0*q + 0 - 32*q**2 + 1/36*q**3 - 1/120*q**5. Let p(u) = 0. What is u?
-1, 1/3
Let c(g) = -21*g**2 + 78*g + 903. Let t(m) = -17*m**2 + 83*m + 902. Let a(j) = 5*c(j) - 6*t(j). Let a(y) = 0. What is y?
-23, -13
Let y be (93/(-31))/(6/(-10)). Let n**5 + 2*n**5 - 30*n**3 - 4*n**y + 16*n**4 - n**5 + 32*n - 16*n**2 = 0. What is n?
-1, 0, 1, 4
Let n(a) be the third derivative of -a**7/126 - 31*a**6/180 - 199*a**5/180 - 35*a**4/36 + 4983*a**2. Factor n(j).
-j*(j + 5)*(j + 7)*(5*j + 2)/3
Let k be 28/7 + -2 - -40. Let j(y) = y**3 - 44*y**2 + 86*y - 84. Let r be j(k). What is w in r*w + 5/4*w**2 + 0 - 15/4*w**3 - 5/4*w**5 + 15/4*w**4 = 0?
0, 1
Let s(v) be the first derivative of -v**3 + 2265*v**2 - 1710075*v - 1203. Factor s(y).
-3*(y - 755)**2
Let r = 256 - 253. Factor -204*d**2 - 25*d**4 + 27*d**3 - 16 + 96*d**r + 100*d - 55*d**3 + 77*d**3.
-(d - 4)*(d - 1)*(5*d - 2)**2
Let h = 39 + -34. Suppose -4*y = -2*g, h*g - 12 = y - 3. Let -6/5*j**g - 8/5*j - 2/5 = 0. What is j?
-1, -1/3
Let s(p) be the second derivative of -p**4/3 + 326*p**3/3 + 660*p**2 + 4*p - 333. Suppose s(a) = 0. Calculate a.
-2, 165
Let b be (2 - (-12)/(-5)) + 2. Let k be (-54)/171*(-304)/120. Let b*m**2 - 8/5 + 4/5*m**3 - k*m = 0. Calculate m.
-2, -1, 1
Let c(o) be the third derivative of -1/40*o**6 + 0*o + 0*o**4 - 208*o**2 + 0 + 0*o**3 - 3/20*o**5 + 3/70*o**7 + 1/112*o**8. Find y such that c(y) = 0.
-3, -1, 0, 1
Let t = 1064 - 1074. Let j be 136/70 - -8*1/t. Factor -j*c - 4/7*c**2 - 4/7.
-4*(c + 1)**2/7
Let g(u) be the third derivative of u**6/900 - 14*u**5/75 + 196*u**4/15 + 2*u**3/3 + 15*u**2. Let s(q) be the first derivative of g(q). Factor s(p).
2*(p - 28)**2/5
Let w(r) be the first derivative of -r**5/25 - 7*r**4/20 - 2*r**3/3 - 1450. Let w(s) = 0. Calculate s.
-5, -2, 0
Let t = 234/239 + 279/1912. Let 3/2*b**3 + 0 - t*b**5 + 0*b**2 + 0*b + 3/2*b**4 = 0. What is b?
-2/3, 0, 2
Factor -29*a**3 + 36 - 31*a**3 + 638869*a + 148*a**2 + 8*a**4 - 639001*a.
4*(a - 3)**2*(a - 1)*(2*a - 1)
Suppose -30*q**2 - 696/5*q + 0 + 6/5*q**3 = 0. What is q?
-4, 0, 29
Suppose -65*i + 3 = -64*i. Factor 140*l**2 + 25*l**i + 31*l**3 -