-o + 40/7*w**2 + 2*w**3 + 22/7*w.
2*(w + 1)*(w + 2)*(7*w - 1)/7
Suppose -2*c + 82 + 4 = -3*a, -3*a - 87 = -3*c. Let d = -25 - a. Factor 11*q - q**3 - 2*q**4 - 11*q + d*q**3 + 4*q**2.
-2*q**2*(q - 2)*(q + 1)
Let i(j) be the third derivative of -j**7/2940 + j**6/420 - j**5/210 - 37*j**3/3 - 76*j**2. Let k(z) be the first derivative of i(z). Factor k(h).
-2*h*(h - 2)*(h - 1)/7
Let w(a) be the first derivative of a**6/180 + 59*a**5/90 + 70*a**4/3 - 100*a**3 + 16*a**2 - 2*a - 100. Let y(p) be the second derivative of w(p). Factor y(r).
2*(r - 1)*(r + 30)**2/3
Let k be (-14)/77 - (-3328)/10560. Determine p so that 22/15*p**2 + 8 - 112/15*p + k*p**3 = 0.
-15, 2
Let w(u) = -2*u**3 + 10*u**2 + 11*u - 9. Let y be w(5). Solve 13*t**2 + 9 + 19 + y*t - 12*t**2 + 2*t**3 + 19*t**2 = 0 for t.
-7, -2, -1
Let g(b) be the second derivative of 0 - 1/6*b**4 - 625*b**2 + 220*b - 50/3*b**3. Let g(h) = 0. Calculate h.
-25
Determine o, given that -15/4*o - 3/4*o**2 + 75/2 = 0.
-10, 5
Suppose -46*q = 391*q - 874. What is n in 0*n - 1/2*n**3 + 0 - 1/2*n**q = 0?
-1, 0
Let i(t) be the second derivative of t**6/105 + t**5/10 + t**4/7 - 32*t**3/21 - 32*t**2/7 - 9*t - 51. Factor i(j).
2*(j - 2)*(j + 1)*(j + 4)**2/7
Let v(z) be the second derivative of -3*z**5/20 - 1629*z**4/4 - 884547*z**3/2 - 480309021*z**2/2 - 401*z. Factor v(r).
-3*(r + 543)**3
Let b(w) be the first derivative of -2*w**3/9 + 70*w**2/3 + 656*w - 7095. Suppose b(r) = 0. What is r?
-12, 82
Let o(g) be the third derivative of -g**6/40 - 109*g**5/10 - 217*g**4/8 + 2*g**2 - 36*g + 51. Factor o(i).
-3*i*(i + 1)*(i + 217)
Suppose 2*j - 6 = 4*j, j = -o. Factor 42*q**o - 1410*q**2 + 1410*q**2 + 2*q**4 - 38*q**3.
2*q**3*(q + 2)
Suppose 276*n**3 - 2347*n**2 - 264*n**3 - 148*n - 477*n**2 + 1080*n + 1880 = 0. What is n?
-2/3, 1, 235
Let h be 8/(-36) + 3 + (-80)/(-36). What is t in -1590*t**3 + 0*t**5 + 1563*t**3 + 2*t**h - 5*t**5 + 18*t**4 = 0?
0, 3
Let y be (-6)/21 + 6/126*12. Suppose -8 = -p - p. Find c such that 4/7*c + 2/7*c**5 - y*c**2 - 6/7*c**3 + 2/7*c**p + 0 = 0.
-2, -1, 0, 1
Let h(l) be the first derivative of l**6/16 - 7*l**5/10 - 131*l**4/32 - 19*l**3/3 - 13*l**2/4 + 937. Find p such that h(p) = 0.
-2, -1, -2/3, 0, 13
Let q(d) be the second derivative of 4/9*d**2 - 2/9*d**4 - 1/9*d**5 - 131*d + 2/3*d**3 + 0. Factor q(i).
-4*(i - 1)*(i + 2)*(5*i + 1)/9
Let n(y) be the first derivative of 2*y**3/45 + 23*y**2/15 + 68*y/5 - 588. Factor n(f).
2*(f + 6)*(f + 17)/15
Let k(i) be the first derivative of 3/5*i**5 + 24*i - 79 - 6*i**2 + 3/4*i**4 - 6*i**3. Solve k(j) = 0.
-2, 1, 2
Let j be (-10897)/2805 + 0 + 0 + 5. Let x = -17/33 + j. Determine t so that -3/5*t**2 - x - 2*t = 0.
-3, -1/3
Let f(z) = -5*z**2 - 9*z + 5. Let x be f(-5). Let r = x - -90. Solve -7 + 19*s - 74*s - 13 + r*s**2 = 0 for s.
-1/3, 4
Factor 109*j**2 + 715 - 566*j - 352*j**2 + 5*j**3 + 118*j**2 + 110*j**2 - 139*j.
5*(j - 13)*(j - 1)*(j + 11)
Let a(n) be the second derivative of 1/21*n**4 + 1/140*n**5 + 0*n**3 + 12*n + 6 + 0*n**2. Determine y so that a(y) = 0.
-4, 0
Let c(i) be the third derivative of i**7/1575 - i**6/150 - 107*i**5/450 - 7*i**4/15 + 196*i**3/45 + 7174*i**2. Suppose c(o) = 0. What is o?
-7, -2, 1, 14
Let v(o) = 1350*o**3 + 818*o**2 - 536*o - 2. Let t(i) = 1350*i**3 + 817*i**2 - 537*i - 1. Let c(g) = 2*t(g) - 3*v(g). Find n such that c(n) = 0.
-1, -1/135, 2/5
Let j = 90521/20 - 4526. Let b(a) be the third derivative of -3/2*a**3 - 1/4*a**4 + 0 + j*a**5 + 0*a - 18*a**2. Factor b(g).
3*(g - 3)*(g + 1)
Let n = -743 + 746. Let m(r) = 15*r**3 - 20*r**2 - 90*r - 5. Let q(w) = -8*w**3 + 10*w**2 + 46*w + 3. Let p(h) = n*m(h) + 5*q(h). Suppose p(i) = 0. Calculate i.
-2, 0, 4
Suppose 526 = 5*s - q, -1226*s - 5*q = -1228*s + 146. Suppose s + 37/3*d**2 - 120*d - 1/3*d**3 = 0. Calculate d.
1, 18
Let p be 1/((-40)/24*(-21)/5). Suppose 10 = -5*b - 5*a, -15*b + 18 = -12*b - 3*a. Determine z, given that -z + 0 - p*z**b = 0.
-7, 0
Let d = 26 + -2. Suppose 0 = -3*g + 15, 2*r + 4*g - g - 21 = 0. Let z(t) = 2*t**3 + t**2 + 7*t - 2. Let n(h) = -h**2. Let a(m) = d*n(m) + r*z(m). Factor a(k).
3*(k - 2)*(k - 1)*(2*k - 1)
Suppose 0 = 69*s - 73*s + 8. Factor n**4 + 4*n - 4*n**4 - 2*n**2 + s*n**4 + 3 - 5*n**3 + n**3.
-(n - 1)*(n + 1)**2*(n + 3)
Suppose 50*n - 60*n = 30. Let y be 26/(-39) + (-1)/(n/12). Factor 0 + 5/3*i**2 + 10/3*i**3 - y*i - 5/3*i**4.
-5*i*(i - 2)*(i - 1)*(i + 1)/3
Find a, given that -33*a - 98/3 - 1/3*a**2 = 0.
-98, -1
Let i(b) be the third derivative of b**5/480 + 37*b**4/8 + 4107*b**3 + 136*b**2 - 1. Factor i(p).
(p + 444)**2/8
Let 0*a + 159/2*a**4 + 3/2*a**5 + 0 - 84*a**3 - 162*a**2 = 0. Calculate a.
-54, -1, 0, 2
Let r(p) be the first derivative of 3*p**5/5 + 12*p**4 - p**3 - 24*p**2 - 541. Factor r(t).
3*t*(t - 1)*(t + 1)*(t + 16)
Let c(d) be the second derivative of -d**5/25 + 709*d**4/30 - 21004*d**3/5 + 31329*d**2/5 + 4270*d. Solve c(i) = 0.
1/2, 177
Let g(x) = 25*x - 111. Let q be g(5). Let n(s) = 2*s**2 - 25*s - 42. Let z be n(q). Determine v, given that z + 4/5*v**2 + 8/5*v - 4/5*v**3 = 0.
-1, 0, 2
Let t = -47 - -23. Let w be 2/(-4)*0*(-8)/t. Determine s so that 90 - 75 - 40*s - 5*s**4 + w*s**4 + 30*s**2 = 0.
-3, 1
Let q(j) = 10*j**2 + 276*j + 4356. Let r(w) = -29*w**2 - 826*w - 13068. Let f = 581 - 575. Let l(n) = f*r(n) + 17*q(n). Let l(d) = 0. Calculate d.
-33
Let c(h) be the third derivative of -3*h**2 + 7/3*h**4 + 0*h + 0*h**3 + 13 - 1/15*h**5. Factor c(r).
-4*r*(r - 14)
Let c = 111664 + -558316/5. Factor 0 + c*t**2 + 2/5*t + 2/5*t**3.
2*t*(t + 1)**2/5
Let b be (5 + -2)*10/15. Suppose -42 + 40 - 4*q - 2*q + 7*q**4 - q**4 + 4*q**3 - 4*q**2 + b*q**5 = 0. Calculate q.
-1, 1
Let n = 160 + -142. Let d be ((-6)/(-1) - 3)/(n/12). Factor 17*q**2 - 12*q**2 + 40*q - 9*q**d.
-4*q*(q - 10)
Factor 57339*w - 14283/2 + 3324*w**3 - 24*w**4 - 231843/2*w**2.
-3*(w - 69)**2*(4*w - 1)**2/2
Let d(p) = 24*p - 36. Let t(y) = 22 - y**2 + 28 - 25*y - 14. Let h(i) = 4*d(i) + 3*t(i). Solve h(z) = 0 for z.
3, 4
Let w(o) be the third derivative of -49*o**5/20 - 161*o**4/2 - 1058*o**3 - o**2 - 33. Let w(p) = 0. What is p?
-46/7
Factor 897/5 + 3/5*s**2 + 108/5*s.
3*(s + 13)*(s + 23)/5
Let x(c) = -85*c**2 + 90*c + 91. Let u(h) = 128*h**2 - 89*h - 91. Let s(t) = 2*u(t) + 3*x(t). Factor s(d).
(d + 1)*(d + 91)
Let q = 142522 + -4987881/35. Let c = q + -75/7. Suppose 0*i**3 + 0 + 6/5*i**2 - c*i**4 - 4/5*i = 0. What is i?
-2, 0, 1
Let q(m) be the first derivative of -m**6/2 - 6*m**5 - 105*m**4/4 - 50*m**3 - 36*m**2 - 1357. Let q(l) = 0. Calculate l.
-4, -3, -2, -1, 0
Let w(z) = -5*z**3 - 35*z**2 + 132*z - 68. Let n(q) = -11*q**3 - 66*q**2 + 264*q - 136. Let f(p) = -2*n(p) + 5*w(p). Factor f(h).
-(h - 2)*(h + 17)*(3*h - 2)
Let c(x) be the first derivative of -10*x**3/3 - 146*x**2 - 282*x + 4383. Let c(q) = 0. What is q?
-141/5, -1
Let f = -1215 - -1230. Suppose 26*c - 37 = f. Factor -18/11 - 12/11*j - 2/11*j**c.
-2*(j + 3)**2/11
Let v be ((-30)/9)/(10/(-15)). Suppose q = -v*g - 0 - 2, 0 = 4*q + 2*g - 10. Factor -2/3*f + f**2 + 0 - 1/3*f**q.
-f*(f - 2)*(f - 1)/3
Let h(m) = -m**2 - 7*m - 2. Let z(o) be the third derivative of -o**5/30 - 3*o**4/8 - o**3/2 + 17*o**2. Let q(r) = -3*h(r) + 2*z(r). Factor q(u).
-u*(u - 3)
Let j(q) be the third derivative of q**8/1512 + q**7/105 + 7*q**6/540 - 23*q**5/90 - 2*q**4/27 + 20*q**3/9 - 2*q**2 - 1069. Suppose j(l) = 0. Calculate l.
-6, -5, -1, 1, 2
Let y(q) be the third derivative of 13*q**6/40 - 21*q**5/20 - 9*q**4/4 + 8*q**3 + q**2 - 1473. Factor y(p).
3*(p - 2)*(p + 1)*(13*p - 8)
Factor 1896 - 1324 + 2928 + 2775*q + 815*q**2 + 5*q**4 + 105*q**3.
5*(q + 4)*(q + 5)**2*(q + 7)
Let h(t) be the first derivative of 4*t**5/5 + 2*t**4 - 64*t**3/3 - 4*t**2 + 60*t - 2097. Determine r so that h(r) = 0.
-5, -1, 1, 3
Let n = -839/4 - -210. Let t(m) be the second derivative of 0 - n*m**4 - 1/10*m**6 - 1/56*m**7 + 0*m**2 - 1/8*m**3 + 4*m - 9/40*m**5. Factor t(r).
-3*r*(r + 1)**4/4
Suppose 2*h = -3*k + 82, 3*k - h - 57 = 2*h. Suppose 21 = -3*c + k. Factor -1/4*n**2 + n - c.
-(n - 2)**2/4
Let p(o) = o**2 + 5*o - 3. Let v be p(-6). Let x(h) = -h + 5. Let j be x(v). Find l such that 5*l**j - 4*l + 11 - 2 + 1 + 19*l = 0.
-2, -1
Factor 79*g**4 + 116*g**4 - 1608*g**3 + 18325 + 34915 + 4453*g**3 + 5*g**5 + 54450*g + 7634*g**2 + 11231*g**2.
5*(g 