j**2 - 3/5*j**3.
-3*(j - 3)**2*(j + 2)/5
Factor 1040/3*t + 35/3*t**2 - 100.
5*(t + 30)*(7*t - 2)/3
Let f be 27/7 + 5/35 - -2. Suppose -18 = -5*z - 5*y + f*y, 5*z + 3*y - 6 = 0. Factor 5/2*b**2 + 15/2*b - 15/2*b**z + 5/2*b**4 - 5.
5*(b - 2)*(b - 1)**2*(b + 1)/2
Let b(j) = -168*j**3 + 2*j**2 + 4*j + 1. Let r be b(-1). Suppose 6*l**2 - r*l**3 + 167*l**3 - 7*l**2 + l**4 = 0. Calculate l.
-1, 0, 1
Suppose 0 = 11*u - 52 - 58. Let -32*s**2 - 2*s - u + 22 + 24 + 2*s**3 - 4 = 0. What is s?
-1, 1, 16
Let a = 7420 - 7420. Let s(q) be the third derivative of 0*q**4 + 0*q - 17*q**2 - 1/30*q**6 + 1/105*q**5 + 0*q**3 + a. Factor s(k).
-4*k**2*(7*k - 1)/7
Let s(j) be the third derivative of 2 + 0*j + 1/12*j**5 - 5/6*j**4 + 2*j**2 - 10/3*j**3 + 1/24*j**6. Factor s(i).
5*(i - 2)*(i + 1)*(i + 2)
Let j(f) be the second derivative of 3*f**5/20 - 317*f**4/2 + 100489*f**3/2 - 7*f - 2. Factor j(s).
3*s*(s - 317)**2
Find f such that 0*f**2 - 2/3*f**4 + 0 + 0*f + 6*f**3 = 0.
0, 9
Solve -96 + 469*w**3 + 451*w**3 + 56*w - 924*w**3 + 44*w**2 = 0.
-2, 1, 12
Find v such that -1174*v - 1116*v - 2*v**3 - 763 + 1148*v**2 + 1907 = 0.
1, 572
Determine p, given that -16*p - 14*p**2 - 3*p + 6*p**4 - 4*p**4 + 31*p = 0.
-3, 0, 1, 2
Determine m so that 23*m + 4232/7 - 38/7*m**2 + 1/7*m**3 = 0.
-8, 23
Suppose -2*q + 60*c + 31 = 65*c, -5*q + 49 = 3*c. Let o(r) be the first derivative of -2/45*r**3 + 2/3*r + q + 4/15*r**2. Solve o(a) = 0 for a.
-1, 5
Let k(n) = 20*n**3 - 245*n**2 + 790*n - 180. Let m(q) = -q. Let p = -25 - -27. Let v be (3/p)/((-9)/(-60) + 0). Let a(u) = v*m(u) + k(u). Factor a(h).
5*(h - 6)**2*(4*h - 1)
Let b(x) = -8*x**3 + 4*x**2 - 6. Let s(g) = 7*g**3 - 3*g**2 + 5. Let o = 11 + -6. Let y(t) = o*b(t) + 6*s(t). Factor y(q).
2*q**2*(q + 1)
Let h = 37 - 22. Suppose 6*z - 9 = h. Let u(s) = -4*s**3 - 8*s**2 + 12*s + 12. Let g(q) = -4*q**3 - 7*q**2 + 13*q + 13. Let i(c) = z*g(c) - 3*u(c). Factor i(t).
-4*(t - 2)*(t + 1)*(t + 2)
Let z(o) be the second derivative of o**5/70 + 12*o**4/7 + 137*o**3/21 - 30*o**2 + 4610*o. Factor z(a).
2*(a - 1)*(a + 3)*(a + 70)/7
Let h(c) be the second derivative of -c**5/50 + 17*c**4/10 - 33*c**3/5 + 49*c**2/5 + 3826*c. Factor h(d).
-2*(d - 49)*(d - 1)**2/5
Let s(l) be the second derivative of -l + 1/54*l**4 - 43 - 1/180*l**5 - 1/9*l**2 + 1/54*l**3. Solve s(c) = 0.
-1, 1, 2
Let f be 4*(-2)/8 - (-174)/270. Let g = 103/90 - f. Find t such that 1/2*t + 3/2*t**2 - 1/2*t**3 - g = 0.
-1, 1, 3
Let b(h) be the third derivative of -h**5/20 + 81*h**4/8 - 40*h**3 + 35*h**2 - 10*h. Factor b(r).
-3*(r - 80)*(r - 1)
Find g, given that 116*g**2 - 278*g**2 + 103*g**2 - 24 - 68*g + 99*g**2 = 0.
-3/10, 2
Let v(p) be the third derivative of p**6/160 - 7*p**5/80 + 7*p**4/32 + 15*p**3/8 + 2*p**2 - 12. Suppose v(s) = 0. What is s?
-1, 3, 5
Let r(t) = 254*t**2 + 97*t + 240. Let k(x) = -69*x**2 - 24*x - 60. Let l(i) = 11*k(i) + 3*r(i). Factor l(p).
3*(p + 4)*(p + 5)
Suppose -4*f = 68 - 60. Let s be 114/42 - (4 + f). Factor -s*z**2 - 1/7*z**3 - 6/7*z + 0.
-z*(z + 2)*(z + 3)/7
Suppose 3*w - 4*n - 13651 = -13614, 3*n = -w - 18. Suppose -1/4*s**4 + 3/4*s**2 - 1/2 + 1/4*s - 1/4*s**w = 0. What is s?
-2, -1, 1
Let l(y) be the second derivative of y**6/105 + 31*y**5/70 + 29*y**4/42 - 31*y**3/21 - 30*y**2/7 - 4458*y. Find u such that l(u) = 0.
-30, -1, 1
Let p = 89 - -8. Let c = p - 92. Solve c*o**2 + 14*o**4 + 252*o**3 - 228*o**3 - 4*o + o**2 = 0 for o.
-1, 0, 2/7
Let j(d) be the second derivative of 3*d**5/20 + 31*d**4/4 + 56*d**3 + 162*d**2 + 7*d + 61. Let j(h) = 0. Calculate h.
-27, -2
Suppose 2*a - 2*d - 60 = 0, 2*d + 130 = 5*a - 32. Let f(v) be the first derivative of -a + 5/8*v**2 + 1/12*v**3 + 3/2*v. Solve f(u) = 0.
-3, -2
Suppose -4*i + 32*i - 1176 = 0. Let j be 37/30 - 35/i. Factor -j*n**3 - 2/5*n**2 + 2*n - 6/5.
-2*(n - 1)**2*(n + 3)/5
Let l = 46 + -42. Suppose -2*n + 8 = l*f, 0 = f - 4*n + n - 2. Let -3*y**3 + 7*y**3 + y**3 - 6*y**2 - y + f*y = 0. What is y?
0, 1/5, 1
Let j be 234/(-10) + (-110)/(-275). Let s be 34 - 28 - j/(-4). Solve 3/8*c - 1/8*c**3 + 0 + s*c**2 = 0 for c.
-1, 0, 3
Let b(k) be the third derivative of 1/12*k**5 + 1/24*k**6 + 144*k**2 - 5/24*k**4 + 0*k + 2 - 5/6*k**3. Suppose b(m) = 0. What is m?
-1, 1
Factor -37/8*o + 9/2*o**3 - 5/2*o**4 + 1/4*o**2 + 1/8*o**5 + 9/4.
(o - 18)*(o - 1)**3*(o + 1)/8
Suppose 2*h = -j - 4, -12 = -h + 5*h. Let x = j + 20. Factor -54*w + 5*w**2 - 21*w**2 + 14*w**3 - 3*w**4 + w**4 + x*w.
-2*w*(w - 4)**2*(w + 1)
Let o(l) = l**3 - 15*l**2 - 9. Let p be o(15). Let s be p/(-72) - 67/(-104). Solve -14/13*d - 2/13*d**3 - 6/13 - s*d**2 = 0.
-3, -1
Factor 13/9*y**3 + 8/3 + 50/9*y**2 + 61/9*y.
(y + 1)**2*(13*y + 24)/9
What is u in -5*u**2 + 1/3*u**4 + 2/3*u**3 - 16/3 - 32/3*u = 0?
-4, -1, 4
Let o(g) be the third derivative of g**5/450 + 51*g**4/10 + 23409*g**3/5 + 17*g**2 - 21. Let o(i) = 0. Calculate i.
-459
Let i(h) = h**2 - 30*h + 59. Let r(j) = j**3 + 6*j**2 - 6*j - 8. Let u be r(-6). Let t be i(u). Factor 0*s - 2/13*s**4 - 4/13*s**t - 2/13*s**2 + 0.
-2*s**2*(s + 1)**2/13
Let a(i) = i**2 - 23*i + 4. Let p be a(0). Suppose -4*l**2 + p*l - 5 + 0*l + 6 + 0*l**2 + 23 = 0. What is l?
-2, 3
Let p(y) be the second derivative of y**4/4 - 25*y**3 - 1116*y**2 + 6*y + 2. Factor p(t).
3*(t - 62)*(t + 12)
Let x(v) be the second derivative of v**7/21 + 4*v**6/5 + 39*v**5/10 + 14*v**4/3 + 676*v. Factor x(w).
2*w**2*(w + 1)*(w + 4)*(w + 7)
Let h(q) = 10*q**3 - 166*q**2 + 15*q - 4. Let a(o) = 5*o**3 - 71*o**2 + 8*o. Let t(s) = 5*a(s) - 2*h(s). Determine p, given that t(p) = 0.
-2/5, 1, 4
Let c = -155 + 171. Suppose 2*h + 4*w = c, -h - 5*w + 0 + 17 = 0. Factor -12/5 + 6/5*r**h + 14/5*r.
2*(r + 3)*(3*r - 2)/5
Let t(s) be the first derivative of 17*s**6/6 - 18*s**5/5 - 17*s**4/2 + 12*s**3 + 17*s**2/2 - 18*s + 906. Find i such that t(i) = 0.
-1, 1, 18/17
Suppose 9*n**2 - 458*n - 4*n**2 + 173*n + 63*n + 27*n - 410 = 0. What is n?
-2, 41
Let l be ((-189)/(-81))/(3185/1638). Factor 0 - l*a**3 + 4/15*a**4 - 8/15*a + 8/5*a**2.
2*a*(a - 2)**2*(2*a - 1)/15
Let p be (13612/(-861) + 16)*28/8. Factor p + 4/9*t - 2/9*t**2.
-2*(t - 3)*(t + 1)/9
Let w(l) = l**3 + 15*l**2 - 30*l + 112. Let d be w(-17). Factor -d*h**3 - 23*h**2 + 2*h**2 + 0*h**4 + 56*h**3 - h**4 + 10*h.
-h*(h - 10)*(h - 1)**2
Factor 103 + 13*m**3 + 63094*m**2 - 63197*m**2 + 2*m - 15*m**3.
-(m - 1)*(m + 1)*(2*m + 103)
Let w(k) be the second derivative of 220/3*k**3 + 0 - 4840*k**2 - 5/12*k**4 + 134*k. Factor w(b).
-5*(b - 44)**2
Let j(b) be the first derivative of -263 - 32/3*b**3 + 80*b - 54*b**2. Factor j(d).
-4*(d + 4)*(8*d - 5)
Let l(p) = p**2 - 51*p + 146. Let g be l(48). Let t(m) be the second derivative of -3*m + 0*m**5 - 1/210*m**6 + 1/84*m**4 + 0*m**3 + 0*m**g + 0. Factor t(b).
-b**2*(b - 1)*(b + 1)/7
Let g(z) be the first derivative of -z**6/9 - 9*z**5/5 - 2*z**4/3 + 7*z**3 - 13*z**2/3 + 6131. Determine h, given that g(h) = 0.
-13, -2, 0, 1/2, 1
Let o(n) be the second derivative of -n**6/10 - 1413*n**5/5 - 665523*n**4/2 - 208974222*n**3 - 147640287843*n**2/2 - 1256*n - 1. Factor o(y).
-3*(y + 471)**4
Solve -138*v**3 - 16/23*v**5 + 530/23*v + 4252/23*v**4 - 1592/23*v**2 + 0 = 0.
-1/2, 0, 1/4, 1, 265
Let z(t) = t**3 - 9*t**2 + 12*t + 18. Let u be z(11). Determine y, given that 69*y**2 + u - 663 + 325 + 12*y**3 + 117*y = 0.
-3, -2, -3/4
Let a be (-1342)/(-18) - (-72)/162. Factor -a*k**3 - 48 - 37*k - 240*k**2 + 337*k - 72*k.
-3*(k + 4)*(5*k - 2)**2
Let p(i) = -i**3 + 1123*i**2 - 4750*i + 1526. Let a(n) = 562*n**2 - 2376*n + 770. Let j(y) = -5*a(y) + 3*p(y). Suppose j(d) = 0. What is d?
1/3, 4, 182
Let d(m) be the first derivative of -m**4/30 + 2*m**3 - 45*m**2 - 74*m - 46. Let g(q) be the first derivative of d(q). Factor g(f).
-2*(f - 15)**2/5
Let z(i) be the third derivative of 0*i - 2/15*i**4 - 15*i**2 - 1/150*i**5 - 4/5*i**3 + 0. Factor z(s).
-2*(s + 2)*(s + 6)/5
Factor 1496 - 81*x**2 + 58 - 3*x**3 - 230*x + 471 + 89*x - 264*x.
-3*(x - 3)*(x + 15)**2
Let d(m) be the second derivative of -49*m**5/16 + 156905*m**4/48 + 11215*m**3/3 + 3205*m**2/2 - 870*m. Factor d(u).
-5*(u - 641)*(7*u + 2)**2/4
Let j(c) be the first derivative of 5*c**3/3 + 9*c**2/2 + c + 25. Let a be j(-2). Find t, given that 1/2 + 3/2*t**a - 3/2*t - 1/2*t**2 = 0.
-1, 1/3, 1
Suppose -50/9*j**2 - 80/3 + 2/9*j**3 - 29