d r such that l(r) = 0.
-1, 0, 4, 7
Factor 11*f**2 - 4*f**3 + 18*f**3 - 17*f**3 - 2*f**2.
-3*f**2*(f - 3)
Let h(f) be the first derivative of 0*f**2 - 1/8*f**3 + 0*f - 37. Suppose h(c) = 0. Calculate c.
0
Let q(k) be the first derivative of 1/26*k**4 - 102 + 44/39*k**3 + 41/13*k**2 + 40/13*k. What is g in q(g) = 0?
-20, -1
Factor 10*i**3 + 0*i - 5*i**2 - 10*i**4 - 5*i**4 - 35*i**3 + 5*i.
-5*i*(i + 1)**2*(3*i - 1)
Let q(y) = y**3 + 2*y**2 - 2*y - 2. Let w(r) = 22880*r**3 + 640252*r**2 - 23924*r + 260. Let n(c) = -36*q(c) - 2*w(c). What is h in n(h) = 0?
-28, 2/107
Suppose -2*x - 15 = -3*x. Factor -3*v**2 - x*v**4 - 18*v**3 - 3*v**5 + 9 + v**2 + v**2 + 21*v + 7*v**2.
-3*(v - 1)*(v + 1)**3*(v + 3)
Let a be 1099956/715 - 6/(-10). Let t = -3077/2 + a. Determine s, given that -2*s + 5/2 - t*s**2 = 0.
-5, 1
Let t(i) = -2*i**2 - 6*i + 1. Let z(a) = 10*a**3 + 1184*a**2 - 3214*a - 1459. Let b(x) = 5*t(x) - z(x). Factor b(p).
-2*(p - 3)*(p + 122)*(5*p + 2)
Suppose -19*h = 2*h - 336. Factor 4*k**2 - 9443*k + 9443*k - h.
4*(k - 2)*(k + 2)
Let v(i) = -4*i + 33. Let x be v(7). Let 66*w**2 + x*w**3 + 91*w**2 + 495 - 37*w**2 + 715 + 825*w = 0. Calculate w.
-11, -2
Suppose -285 = -69*w + 50*w. Find y such that 121*y - w*y**2 - 8*y + 137*y - 70 - 35*y = 0.
1/3, 14
Let y = -10029 + 10029. Let m(v) be the third derivative of y*v + 0 + 14*v**2 + 3/8*v**4 - 1/20*v**5 + 0*v**3. Factor m(x).
-3*x*(x - 3)
Factor 1/2*z**3 + 4*z**2 - 253/2*z - 130.
(z - 13)*(z + 1)*(z + 20)/2
Let l(b) = -6*b**3 - 40*b**2 - 250*b. Suppose -1280*d + 12 = -1292*d. Let o(r) = r**3 + 9 - 9 - 2*r**2 + r**2 + 2*r. Let w(j) = d*l(j) - 4*o(j). Solve w(k) = 0.
-11, 0
Solve 3132/7*j**2 - 3/7*j**3 + 126432576/7 - 1089936/7*j = 0 for j.
348
Let r be -5*(-6)/(-5) - -17*-1*(-2)/4. Factor -r*g + 3*g**2 - 1/2.
(g - 1)*(6*g + 1)/2
Let x be 4/((-32)/88) - ((-135)/(-15) - 20). Let t(r) = -r - 5. Let q be t(-5). Find h such that 8/9*h**2 - 2/9*h**3 + x*h + q = 0.
0, 4
Let 52*r - 6/13*r**3 - 272/13 - 398/13*r**2 = 0. What is r?
-68, 2/3, 1
Factor 163*u + 69*u + 283*u + 520*u**2 + 5*u**3.
5*u*(u + 1)*(u + 103)
Find g, given that -300/7 - 296/7*g - 3/7*g**5 - 1069/7*g**3 + 1429/7*g**2 + 239/7*g**4 = 0.
-1/3, 1, 2, 75
Let r(v) be the first derivative of -20/3*v**3 + 5*v + 15/2*v**2 + 127. Find n such that r(n) = 0.
-1/4, 1
Suppose b + 2*q - 6 = 0, 0 = 4*b + 5*q + 316 - 337. What is f in 2/5*f**3 + 0*f + 2/5*f**b + 0 - 2/5*f**5 - 2/5*f**2 = 0?
-1, 0, 1
Suppose 20*n = a + 22*n + 94, 2*a - 4*n + 172 = 0. Let c be (-108)/a*-4 - (-6 + 0). Factor 0*r + 0 + 4/5*r**3 + 2/5*r**4 - c*r**2.
2*r**2*(r - 1)*(r + 3)/5
Let j(w) = w**2 - 25*w + 10. Let l be j(27). Let g = 123 - l. Factor g*n**4 + 0*n**2 + n**2 - 60*n**4.
-n**2*(n - 1)*(n + 1)
Factor -92/3*a + 2/3*a**2 + 182.
2*(a - 39)*(a - 7)/3
Let n(a) = -6*a**2 + 108*a - 118. Let x(s) = -29*s**2 + 541*s - 588. Let m(i) = -19*n(i) + 4*x(i). Solve m(v) = 0.
1, 55
Let m(w) be the second derivative of w**7/5040 + 17*w**4/12 - 50*w. Let p(l) be the third derivative of m(l). Factor p(d).
d**2/2
Let r(j) be the second derivative of j**6/10 - 8*j**5/5 + 17*j**4/3 - 16*j**3/3 + 519*j. Factor r(i).
i*(i - 8)*(i - 2)*(3*i - 2)
Let y(t) be the first derivative of -1/50*t**5 - 1 - 5*t - 1/15*t**4 + 0*t**3 + 0*t**2. Let r(u) be the first derivative of y(u). Determine i so that r(i) = 0.
-2, 0
Let r be 1*-9 + (-18312)/(-2016). Let x(i) be the third derivative of 0 + 0*i**4 + 0*i + 5/6*i**3 + 2*i**2 - r*i**5. Determine m so that x(m) = 0.
-1, 1
Let h be (-6 - -80) + 1/(-2)*-2. Let r = -63 + h. Suppose 49 + 15*x - 16 - r + 3*x**2 - 12 - 3*x**3 = 0. Calculate x.
-1, 3
Let h be (-18)/(-54) - 8/(-3). Suppose 2*w + 4 = 2*b, -5*b = -h*w - 4*b + 4. Let 1/7*s**4 + 0*s + 0 + 3/7*s**w + 2/7*s**2 = 0. What is s?
-2, -1, 0
Factor 5524*y**2 + 278*y**3 + 4280*y - 59 + 24 - 930*y**2 - 36*y**3 - 37.
2*(y + 1)*(y + 18)*(121*y - 2)
Let -1/2*t**4 + 161*t + 3/2*t**2 - 108 - 54*t**3 = 0. What is t?
-108, -2, 1
Let k = -336 - -336. Let n be (3 + k - 16/(-20)) + -3. What is x in 1/5*x**2 - n*x + 0 = 0?
0, 4
Let t(b) be the second derivative of -b**7/630 + 2*b**6/45 - 2*b**5/5 - b**4/3 + b**2 + 5*b + 7. Let g(d) be the third derivative of t(d). Factor g(l).
-4*(l - 6)*(l - 2)
Factor -3744*o - 13167/2*o**2 - 147/2*o**3 - 534.
-3*(o + 89)*(7*o + 2)**2/2
Let i(a) be the third derivative of -5/8*a**4 - 5/3*a**3 + 3/4*a**5 - 4*a + 18*a**2 + 0. Factor i(y).
5*(3*y - 2)*(3*y + 1)
Suppose -18 = -24*g + 21*g. Let y(a) = a**2 - 8*a + 14. Let b be y(g). Factor p**2 + 11*p**b - 8*p**2.
4*p**2
Factor 1/5*f**3 - 13/5*f**2 + 0 + 12/5*f.
f*(f - 12)*(f - 1)/5
Let m(t) be the first derivative of -t**4/8 - 485*t**3/3 + 1943*t**2/4 - 486*t + 12971. Suppose m(l) = 0. Calculate l.
-972, 1
Let p be 12/(-264) - 252/(-462). Find d, given that 0 + 1/2*d**2 + p*d**3 - d = 0.
-2, 0, 1
Let s(v) = -2*v**4 + 11*v**3 + 6*v**2 + v + 8. Let y(o) = 3*o**4 + 22 - 9*o**4 + 3*o + 32*o**3 + 323*o**2 - 304*o**2. Let j(m) = 17*s(m) - 6*y(m). Factor j(n).
(n - 4)*(n + 1)**2*(2*n - 1)
Suppose 1138 = -3*s + 2*g, 4*s - 1880 = 9*s + 5*g. Let n be ((-2763)/s - 7) + 1/(-7). Solve 5/6*y + n*y**2 + 1 = 0.
-3, -2
Let j be (-7)/((-440)/(-64) - 7). Factor -8*m**2 + 153*m**2 + 91*m**2 - j*m**2 + 65*m**4 + 5*m**5 + 240*m**3.
5*m**2*(m + 1)*(m + 6)**2
Factor 2/13*p**5 + 7680/13*p**3 + 0*p + 14400/13*p**2 + 244/13*p**4 + 0.
2*p**2*(p + 2)*(p + 60)**2/13
Factor 3645/2 + 1555*z**2 + 3510*z - 130*z**3 + 5/2*z**4.
5*(z - 27)**2*(z + 1)**2/2
Let u(o) be the second derivative of o**6/240 + 3*o**5/20 + 9*o**4/4 + 18*o**3 - 12*o**2 - 44*o. Let d(g) be the first derivative of u(g). Factor d(f).
(f + 6)**3/2
Let g(d) be the first derivative of d**4/24 + 19*d**3/4 + 14*d**2 + 61*d + 173. Let r(i) be the first derivative of g(i). Determine l so that r(l) = 0.
-56, -1
Let x(t) be the third derivative of -11/5*t**4 - 82 + 0*t - t**2 - 968/5*t**3 - 1/100*t**5. Factor x(n).
-3*(n + 44)**2/5
Let v(b) be the second derivative of b**7/420 + b**6/60 + b**5/30 - 11*b**2/2 + 9*b. Let y(l) be the first derivative of v(l). Factor y(i).
i**2*(i + 2)**2/2
Factor -372006 + 498*p - 1/6*p**2.
-(p - 1494)**2/6
Let g = 106312/3189 + -4/1063. Let l(w) = w**2 - 15*w - 394. Let s be l(-14). Find d, given that g*d**2 + 40*d + s = 0.
-3/5
Let v(u) be the first derivative of u**3 + 2853*u**2/5 + 456*u + 3234. Solve v(h) = 0 for h.
-380, -2/5
Solve 4/11*i**3 + 0*i + 0 - 6/11*i**2 = 0.
0, 3/2
Let l(n) be the second derivative of -n**5/160 + 3*n**4/32 - 5*n**3/16 - n**2/2 - 26*n. Let v(s) be the first derivative of l(s). Solve v(h) = 0.
1, 5
Let w(h) be the second derivative of -191*h + h**5 + 13*h**2 + 0 - 1/15*h**6 + 38/3*h**3 + 6*h**4. Solve w(k) = 0.
-1, 13
Let w = -90887/3 - -29495. Let q = w + 801. Factor 0*o**3 + 0*o**2 - q*o**4 + 0 + 1/3*o**5 + 0*o.
o**4*(o - 1)/3
Let a(x) be the first derivative of -1/6*x**6 + 32 + 2/5*x**5 - 2*x**2 - 4/3*x**3 + 0*x + 3/4*x**4. Determine s, given that a(s) = 0.
-1, 0, 2
Let k(h) = 7*h**3 - 9*h**2 + 92*h - 60. Let z(s) = -23*s**3 + 26*s**2 - 278*s + 180. Let u(b) = 19*k(b) + 6*z(b). Solve u(m) = 0 for m.
-6, 1, 2
Let b(g) be the second derivative of -95*g**4/16 - 97*g**3/8 - 3*g**2/4 - 3*g - 135. Factor b(x).
-3*(x + 1)*(95*x + 2)/4
Let v(p) be the first derivative of p**6/18 - 7*p**5/15 - 21*p**4/4 + 383*p**3/9 - 277*p**2/3 + 80*p + 9464. Suppose v(o) = 0. Calculate o.
-8, 1, 3, 10
Suppose -28*m = 11*m - 1 - 77. Suppose 12/5*h**5 + 0 + 24/5*h**3 + 0*h**m - 4/5*h - 32/5*h**4 = 0. What is h?
-1/3, 0, 1
Let w(c) = -3*c**3 + 35*c**2 - 2. Let f(v) = 5*v**3 - 36*v**2 + 3. Let t be (2 - 1)*(3 - (-21)/(-3)). Let g(r) = t*f(r) - 6*w(r). Factor g(i).
-2*i**2*(i + 33)
Suppose -665 = -31*j + 48. Let b be (-14)/(-12) + j/138. Factor 3*d**3 + 16/3*d + b + 7*d**2.
(d + 1)*(3*d + 2)**2/3
Let m(o) be the second derivative of 381*o**5/4 + 7625*o**4/6 + 15280*o**3/3 + 80*o**2 + 7323*o - 2. Factor m(i).
5*(i + 4)**2*(381*i + 2)
Let b(x) = 8*x**2 - 13*x + 5. Let k(d) = d**2 - d + 1. Let j be -37 + ((-6)/3 - -3). Suppose 16*g + 35 - 99 = 0. Let n(c) = g*b(c) + j*k(c). Solve n(y) = 0.
-2
Let g(a) be the first derivative of 31*a**4/2 - 1546*a**3/3 + 694*a**2 + 96*a + 8186. Factor g(h).
2*(h - 24)*(h - 1)*(31*h + 2)
Let a(i) be the second derivative of 1/6*i**4 - 7 + 0*i**2 - 3*i - 2/3*