*p**3 + 3223.
3*(p + 10)**3
Let -1748/15*m**2 - 3502/15*m - 584/5 + 2/15*m**3 = 0. What is m?
-1, 876
Suppose 5*m - 54 = -n, -378 = -5*n + 44*m - 42*m. Suppose n = 33*t - 58. Factor -25/7 - 10/7*q**3 + 10/7*q + 24/7*q**2 + 1/7*q**t.
(q - 5)**2*(q - 1)*(q + 1)/7
Suppose -x + 23 = 13*v, -50 + 54 = -v - 2*x. Factor 2/9*s**v + 2/3*s + 4/9.
2*(s + 1)*(s + 2)/9
Let f = -92 + 98. Let i be f/(-13) + -23 + 29. Factor -i*g - 154/13*g**2 - 8/13.
-2*(7*g + 2)*(11*g + 2)/13
Let l be ((31580/(-3))/5)/((-12)/3). Let b = l + -525. Factor b*p - 2/3 - 2/3*p**2.
-2*(p - 1)**2/3
Let q = 194001 + -1745971/9. Suppose -14/9*s**5 - 4/3*s + 0 - q*s**2 + 26/9*s**3 + 38/9*s**4 = 0. Calculate s.
-1, -2/7, 0, 1, 3
Let v = 33 - 40. Let l be (-101)/v + 6/(-14). Suppose l*u**2 - 4*u**4 + 4*u**2 - 18*u**2 = 0. What is u?
0
What is w in -207 - 49/2*w**2 + 561/4*w + 1/4*w**3 = 0?
3, 92
Determine n so that -3*n**2 + 525*n - 715*n - 2*n**2 - 585 - 400*n = 0.
-117, -1
Let d(i) be the second derivative of -7 - 7*i + 1/18*i**6 + 0*i**4 + 0*i**2 - 1/12*i**5 + 0*i**3. Factor d(l).
5*l**3*(l - 1)/3
Let x(f) be the second derivative of -3/4*f**5 + 9*f**2 + 0 - 1/15*f**6 - 5/2*f**3 - 17/6*f**4 + 136*f. Suppose x(q) = 0. Calculate q.
-3, -2, 1/2
Let m(n) be the second derivative of n**7/189 - 4*n**6/45 - 49*n**5/90 + 8*n**4/9 + 20*n**3/3 - 8*n + 74. Find q such that m(q) = 0.
-3, -2, 0, 2, 15
Let n(k) be the first derivative of -1/14*k**4 - 2/21*k**3 + 2/7*k**2 + 104 + 0*k. Suppose n(q) = 0. Calculate q.
-2, 0, 1
Let s = 5022 - 5020. Let n(z) be the third derivative of 0 - 5/204*z**4 + 4/51*z**3 - 35*z**s + 0*z + 1/510*z**5. Factor n(b).
2*(b - 4)*(b - 1)/17
Let n(x) be the first derivative of x**4/14 - 16*x**3/21 - 9*x**2/7 - 1514. Suppose n(c) = 0. Calculate c.
-1, 0, 9
Let h(v) be the third derivative of v**6/60 - 175*v**5/6 + 291*v**4/2 + v**2 - 54*v + 11. What is f in h(f) = 0?
0, 2, 873
Factor 30*u**3 + 57/8*u**4 + 0*u + 0 - 75/2*u**2 + 3/8*u**5.
3*u**2*(u - 1)*(u + 10)**2/8
Let m(c) be the second derivative of 2*c**3 + c - 4 + 0*c**2 - 1/12*c**4. Factor m(h).
-h*(h - 12)
Let r(n) = -5*n**3 - 11*n**2 - n**4 - 3*n**2 + 24*n**2 + 10*n - 2 + 0. Let g(c) = -c**4 + c**3 + c**2 + c + 1. Let h(b) = -2*g(b) - r(b). Factor h(t).
3*t*(t - 2)*(t + 1)*(t + 2)
Let b(o) be the second derivative of -3/20*o**5 - 3*o - 40 + 27/2*o**2 + 11/4*o**4 - 19/2*o**3. Find l such that b(l) = 0.
1, 9
Let l = 97 + -42. Let j = l - 6. Factor -64*r - j*r - 500 + 9*r - 5*r**2 + 4*r.
-5*(r + 10)**2
Let d(s) = -45*s + 30. Let m be d(-6). Let g = 902/3 - m. Factor 0 + 1/3*w**4 - 1/3*w**2 - g*w + 2/3*w**3.
w*(w - 1)*(w + 1)*(w + 2)/3
Let k be (-5)/(-1) - 532*(-33)/(-3476). Let w = 194/711 + k. Factor 10/9 - 8/9*a - w*a**2.
-2*(a - 1)*(a + 5)/9
Let c(a) be the first derivative of 2/21*a**3 + 17*a + 1/21*a**4 - 4 + 0*a**2. Let k(d) be the first derivative of c(d). What is u in k(u) = 0?
-1, 0
Let v be (1 + 7)*(-1 - 0). Let r(l) = l**2 + 10*l + 24. Let w be r(v). Let -15*o + 15 + w*o**2 - 3*o**2 - 15 = 0. What is o?
0, 3
Let b be ((-12)/(-2008))/((-5)/10). Let c = b - -523/1757. Factor 0 - 2/7*m**2 + c*m**4 + 2/7*m**3 - 2/7*m.
2*m*(m - 1)*(m + 1)**2/7
Factor 0 + 1208/3*r**3 + 28/3*r**4 - 352*r**2 + 0*r.
4*r**2*(r + 44)*(7*r - 6)/3
Let g(y) be the third derivative of -y**9/181440 + y**8/60480 + y**7/2520 - 26*y**5/15 + 8*y**2. Let l(m) be the third derivative of g(m). Factor l(s).
-s*(s - 3)*(s + 2)/3
Let d(f) be the first derivative of 7*f**4 - 8*f**3/3 - 14*f**2 + 8*f - 5949. What is y in d(y) = 0?
-1, 2/7, 1
Let f(i) = 4*i**2 + 6*i - 2. Let g be f(-3). Factor -23*w**2 + 21*w - g*w**2 + 38*w**2.
-w*(w - 21)
Let d be 1/(-6) + 407/66. Let l be d/2 + 0 + -1. Determine w so that 3*w + 6*w + 1 - 2*w - w + 8*w**2 - 4*w**5 - 9*w**4 - l*w**3 = 0.
-1, -1/4, 1
Factor 238 + 1455*m**2 + 294*m + 749*m**3 - 254*m**3 + 1151*m + 242 + 3*m**4 + 2*m**4.
5*(m + 1)**3*(m + 96)
Suppose 14 = 5*p + 4*h - 0, 6 = 3*p + 3*h. Determine n so that -3*n**2 + 869 - p*n - 1742 + 873 = 0.
-2, 0
Solve 134*q**3 + 304 - 440*q**3 + 158*q - 2*q**4 - 302*q**2 + 174*q - 26*q = 0.
-152, -1, 1
Let c be 20/4*((-27)/(-90))/((-1)/(-2)). Let h(y) be the third derivative of 0*y + 0 - 1/3*y**c + 17*y**2 - 1/4*y**4 - 3/40*y**5. Suppose h(o) = 0. Calculate o.
-2/3
Let t(v) be the first derivative of v**6/60 + 7*v**5/40 - 9*v**4/8 + 29*v**3/12 - 5*v**2/2 - 40*v - 15. Let a(o) be the first derivative of t(o). Factor a(h).
(h - 1)**3*(h + 10)/2
Let a be (-2)/(-4)*(0 - 4 - -24). What is l in 3*l**3 + 0 + 2*l**3 - 217*l + 202*l + 0 - a = 0?
-1, 2
Let f = 102 - 98. Determine w so that 6*w**3 + 48*w**2 + 81*w**f + 18*w**3 - 78*w**4 = 0.
-4, 0
Let f(d) be the third derivative of d**5/12 + 185*d**4/8 + 545*d**3/3 + 2228*d**2. Let f(t) = 0. Calculate t.
-109, -2
Let m(j) be the second derivative of j**5/40 + 263*j**4/24 - 22*j**3 + 4008*j. Factor m(x).
x*(x - 1)*(x + 264)/2
Let -3/2*j**2 - 96*j - 522 = 0. Calculate j.
-58, -6
Suppose 2 = 3*j - 2*j. Let d(z) = -z**2 + 6*z + 204. Let m be d(17). What is r in -m*r**2 + 9*r**2 + 9*r**2 - 3*r**4 - 6*r + 8*r**j = 0?
-2, 0, 1
Suppose -11*d + 71203 - 16302 = 0. Suppose 19*h + 4 + 5027*h**4 - d*h**4 - 32*h**3 + 13*h - 40*h**2 = 0. Calculate h.
-1, -1/9, 1
Let i(x) = -2*x**2 + 10. Let j be i(-2). Let q(p) = 3*p**2 - 26*p + 44. Let z be q(j). Solve 0*m**3 + 0*m**2 + 0 + 2/7*m**5 + 0*m - 2/7*m**z = 0.
0, 1
Suppose 32 = -0*m + 4*m. Suppose 3*u = -5*r - 5, r + 1 = u + m. Let 5*a**3 - 5 + 3 - 13*a + 12 - r*a = 0. Calculate a.
-2, 1
Let c be (2 - 14)*(-4)/(8/(-5)). Let h be ((-4)/(-24))/(c/(-20)). Find v, given that -1/9*v - 2/9 + h*v**2 = 0.
-1, 2
Let l(t) be the third derivative of t**5/15 + 71*t**4/6 + 896*t**3/3 - 178*t**2 - 11*t. Find s such that l(s) = 0.
-64, -7
Let d(z) be the second derivative of -z**5/24 + 55*z**4/18 - 105*z**3/4 - 6075*z**2/2 + 4777*z. Suppose d(r) = 0. Calculate r.
-10, 27
Find s such that 6*s**3 - 1731*s - 4*s**3 + 544*s**2 + 7*s**3 + 645 + 45 - 1564*s**2 = 0.
-2, 1/3, 115
Let p = -418 - -808. Determine k so that 5*k**2 - 55*k**2 + 52*k**3 - 17*k**3 + 385*k**4 - p*k**4 = 0.
0, 2, 5
Let x(u) be the third derivative of u**7/70 - u**6/10 - 3*u**5/20 + 7*u**4/4 - 4*u**3 - 2223*u**2. Factor x(k).
3*(k - 4)*(k - 1)**2*(k + 2)
Let g(o) = o**5 - o**4 + o**2 + o. Let r = 126 + -125. Let b(j) = -j**5 + 11*j**4 + 12*j**3 + 5*j**2 - j. Let k(f) = r*b(f) + 3*g(f). Solve k(t) = 0.
-1, 0
Let c(x) be the second derivative of x**5/80 - 11*x**4/48 - 29*x**3/24 + 39*x**2/8 + 1123*x - 1. Factor c(r).
(r - 13)*(r - 1)*(r + 3)/4
Let f(v) = -2*v + 1. Let j(x) = -x**2 + 12*x + 22. Let z(c) = -3*f(c) + j(c). What is r in z(r) = 0?
-1, 19
Let a(b) be the first derivative of 8/3*b**3 + 4/3*b**2 - 74 + 4/5*b**5 + 13/6*b**4 + 0*b + 1/9*b**6. What is p in a(p) = 0?
-2, -1, 0
Let a be (-2)/6 + (715/39 - -6). Solve 32 + 3*f**4 - a*f + 2*f**4 - f**5 - 2*f**4 + 4 + 9*f**3 - 23*f**2 = 0 for f.
-2, 1, 3
Let h(k) be the first derivative of -3*k**4/4 - 12*k**3 - 69*k**2/2 + 108*k - 243. Let h(b) = 0. What is b?
-9, -4, 1
Factor -28/5*g + 2/5*g**3 + 22/5*g**2 - 48/5.
2*(g - 2)*(g + 1)*(g + 12)/5
Let j = -3/17342 + 8677/34684. Solve -9/4*l + j*l**3 - 3/4*l**2 - 5/4 = 0 for l.
-1, 5
Suppose 3*s + 202 - 211 = 0. What is t in 21*t**s - 9*t**2 - 15*t**4 + t - t + 151*t**5 - 148*t**5 = 0?
0, 1, 3
Let i(v) be the second derivative of 39*v + 0*v**4 + 1/40*v**5 + 1/2*v**2 - 1/4*v**3 - 2. Find u such that i(u) = 0.
-2, 1
Let u be (7 - 2) + (62/(-6))/((-203)/(-87)). Find z, given that -18/7*z**4 + 22/7*z + u + 2*z**2 - 22/7*z**3 = 0.
-1, -2/9, 1
Let h = 21 + -17. Let s be (972/(-1620))/((-6)/16). What is f in 6/5*f**3 + 0 + s*f**h - 8/5*f**2 - 8/5*f + 2/5*f**5 = 0?
-2, -1, 0, 1
Let z(x) be the third derivative of x**5/15 - 53*x**4 + 630*x**3 - x**2 + 559. Factor z(v).
4*(v - 315)*(v - 3)
Let y = 235 + -233. Factor -423 + 30*q + 38*q + q**y + 1579.
(q + 34)**2
Suppose -6*c + 4*d - 73 = -85, -2*c - 2*d + 14 = 0. Find q, given that -2/3*q**4 + 2/3*q**3 + c*q**2 - 16/3 - 8/3*q = 0.
-2, -1, 2
Let b(l) be the third derivative of -1/15*l**5 + 0*l + 0 - 8/3*l**3 + 61*l**2 + 2/3*l**4. Suppose b(x) = 0. Calculate x.
2
Let k(y) be the second derivative of -y**5/15 + 11*y**4/9 + 8*y**3/9 - 88*y**2/3 + 1493*y. Factor k(s).
-4*(s - 11)*(s - 2)*(s + 2)/3
Solve -18/7*d - 20/