25 + b. Suppose 3/7*h**i - 3/7*h - 9/7 + 9/7*h**2 = 0. Calculate h.
-3, -1, 1
Suppose -15*c + 8324 + 6331 = 0. Let a = c - 974. Factor -1/8*d**a + 0 + 0*d - 1/4*d**2.
-d**2*(d + 2)/8
Let m be 816/1940 + 362/(-17557). Factor 36/5*a**2 + 24*a + m*a**3 - 80.
2*(a - 2)*(a + 10)**2/5
Let p be ((-1005)/1273)/(35/(-14)). Suppose -8/19 + p*a**2 - 22/19*a = 0. Calculate a.
-1/3, 4
Let h(w) = 3*w**4 + 70*w**3 + 248*w**2 + 98*w - 139. Let q(j) = j**4 + j**3 - 10*j + 1. Let l(r) = h(r) - 5*q(r). Factor l(d).
-(d - 36)*(d + 2)**2*(2*d - 1)
Let r = 2 + 5. Suppose 4*u - 4*w - 12 = 0, 2*u = 22*w - 19*w + 7. Let m + m**u + m**3 - r - 2*m + m**2 + 5*m**2 = 0. Calculate m.
-7, -1, 1
Let z(j) be the third derivative of j**6/30 - j**5/5 - 2*j**4/3 - 900*j**2. Factor z(m).
4*m*(m - 4)*(m + 1)
Let o(a) be the third derivative of 9*a - 1/60*a**5 + 3/8*a**4 + 5/3*a**3 - a**2 + 0. Factor o(r).
-(r - 10)*(r + 1)
Let m(s) = 95*s**4 + 831*s**3 - 1585*s**2 - 1152*s + 34. Let v(l) = 12*l**4 + 104*l**3 - 198*l**2 - 144*l + 4. Let g(c) = -2*m(c) + 17*v(c). Factor g(k).
2*k*(k - 2)*(k + 9)*(7*k + 4)
Suppose 814*p - 1066 = 281*p. Let q(r) be the third derivative of r**p + 0*r + 0*r**4 + 0 - 2/3*r**3 + 1/60*r**5. Let q(s) = 0. Calculate s.
-2, 2
Let h be (-2)/12*4080/24*-3. Let y be -19 + 3451/h + 2/5. Determine d, given that -y - 2/11*d**2 - 4*d = 0.
-11
Let y(g) be the second derivative of 16/9*g**3 + 1/15*g**5 + 0 - 50*g - 32/3*g**2 + 7/9*g**4. Factor y(t).
4*(t - 1)*(t + 4)**2/3
Let c(a) be the third derivative of -a**8/336 - 11*a**7/210 - 23*a**6/120 + 47*a**5/60 + a**4 - 6*a**3 + 4148*a**2. Factor c(h).
-(h - 1)**2*(h + 1)*(h + 6)**2
Suppose -252*j**3 + 108*j**2 - 3*j**4 - 218*j**3 + 443*j**3 = 0. What is j?
-12, 0, 3
Let w(b) be the third derivative of -b**6/280 - b**5/140 + 9*b**4/56 + 9*b**3/14 + 727*b**2. Let w(t) = 0. Calculate t.
-3, -1, 3
Let d = -10738 + 117815/11. Let o = -2055/77 - d. Solve 10/7*j**2 - o - 10/7*j - 4/7*j**4 + 10/7*j**3 = 0.
-1, -1/2, 1, 3
Let o be 8/1 - (56144/(-12100))/(4/30). Let 84/5 - 6/5*b**3 - o*b + 136/5*b**2 = 0. Calculate b.
2/3, 1, 21
Let b(n) be the second derivative of 0*n**3 + 0*n**2 + 2/5*n**6 - n**4 - 1/5*n**5 + 43 + 2/21*n**7 + n. Determine i, given that b(i) = 0.
-3, -1, 0, 1
Let z(v) be the third derivative of -v**6/240 - 71*v**5/120 - 271*v**4/48 - 67*v**3/4 - 57*v**2 + v. Factor z(a).
-(a + 1)*(a + 3)*(a + 67)/2
Suppose -2610 + 15*h**2 + 20*h**2 + 15*h**2 - 465*h - 55*h**2 = 0. Calculate h.
-87, -6
Let k = 21427 + -43729/2. Let s = 438 + k. Let -3/2*u**2 - s*u**4 + 0 - 1/2*u - 3/2*u**3 = 0. Calculate u.
-1, 0
Let o(v) be the second derivative of -3/40*v**5 + 1/2*v**2 - 2 - 1/60*v**6 + 1/4*v**3 + 7*v - 1/24*v**4. Find s such that o(s) = 0.
-2, -1, 1
Factor -150/11*q**3 + 0 + 144/11*q**2 + 38/11*q**4 + 8/11*q.
2*q*(q - 2)**2*(19*q + 1)/11
Let l be ((-67)/72360*-45)/(1/68). Factor 10/3*s - 2/3 - 13/2*s**2 + 37/6*s**3 - l*s**4 + 1/2*s**5.
(s - 2)*(s - 1)**3*(3*s - 2)/6
Let v(q) be the first derivative of 5*q**3/3 - 265*q**2/2 - 550*q - 7078. Factor v(h).
5*(h - 55)*(h + 2)
Let v(h) be the second derivative of -3/4*h**2 - 23/8*h**4 - 13/4*h**3 - 20*h - 33/40*h**5 - 2. Let v(m) = 0. What is m?
-1, -1/11
Let a(f) be the third derivative of -f**6/200 + 4*f**5/25 - 43*f**4/40 - 6*f**3 - 36*f**2. Factor a(o).
-3*(o - 12)*(o - 5)*(o + 1)/5
Let f(p) be the first derivative of p**7/84 + p**6/60 - p**5/8 + p**4/8 + 327*p - 33. Let g(l) be the first derivative of f(l). Solve g(b) = 0 for b.
-3, 0, 1
Let l(x) be the third derivative of x**8/112 - 4*x**7/35 + 19*x**6/40 - 2*x**5/5 - 5*x**4/2 + 8*x**3 - 5*x**2 + 19. What is w in l(w) = 0?
-1, 1, 2, 4
Suppose 191*t + 75723 = 148*t. Let a = 12333/7 + t. Find b, given that 1/7*b**3 + 32/7 + 0*b - a*b**2 = 0.
-2, 4
Let h(g) = -11*g**3 + 173*g**2 - 319*g + 153. Let j(k) = 25*k**3 - 350*k**2 + 640*k - 305. Let m(z) = 5*h(z) + 2*j(z). Suppose m(v) = 0. Calculate v.
1, 31
Factor 2/15*b**2 + 98304/5 - 512/5*b.
2*(b - 384)**2/15
Let n(m) be the second derivative of m**4/4 - 282*m**3 - 1695*m**2/2 - 578*m. Solve n(j) = 0 for j.
-1, 565
Factor 40 + 2/9*q**2 - 56/9*q.
2*(q - 18)*(q - 10)/9
Let n(d) be the second derivative of -d**4/12 + 7*d**3 - 196*d**2 - 26*d + 34. Suppose n(p) = 0. Calculate p.
14, 28
Suppose 5*k = 5*a + 65, -4*a = 30*k - 40 - 44. What is u in -2/5*u**3 - 2/5*u**5 + 0 - 6/5*u**2 + 6/5*u**k + 4/5*u = 0?
-1, 0, 1, 2
Let p be (-70)/15*(-27)/18. Let b be 0 + 78/p - (-146)/511. Factor 16/7*a**3 + 4/7*a**4 - 72/7*a**2 - 4 + b*a.
4*(a - 1)**3*(a + 7)/7
Let h be (2340/(-105))/((-6)/21). Let 20*n + 2*n - 18*n + h + 15*n**2 + 197*n = 0. Calculate n.
-13, -2/5
Let n(h) be the third derivative of h**6/200 + 9*h**5/25 - 157*h**4/40 + 12*h**3 + 352*h**2. Determine u, given that n(u) = 0.
-40, 1, 3
Let l = -23 - -26. Suppose -l*c = -3*a + c - 12, -2*c = -a - 6. Let -j - 3*j**3 - j**2 + a*j + 3*j**2 + 2*j**3 = 0. What is j?
0, 1
Let p be 14*2/(-12) - (-22 + (2 - -17)). Let j(v) be the first derivative of -4/5*v + 7/5*v**2 - p*v**3 - 3. Factor j(q).
-2*(q - 1)*(5*q - 2)/5
Let d = -66 + 68. Suppose d*p = q - 2, -5*p = -2*p. Factor -8*f**3 - 2*f**4 - 28*f**2 - 2 - 8*f + 36*f**q - 20*f**2.
-2*(f + 1)**4
Let z = -534 + 536. What is v in -23017*v**2 - v**4 - 2*v**4 - 12*v - 36 + 23044*v**z = 0?
-3, -1, 2
Let k = 75 - 60. Let g be ((-3)/(18/10))/(k/(-18)). Suppose 13*b**2 - 8 + 3*b**2 - 9*b**2 - 26*b + 0*b**g = 0. What is b?
-2/7, 4
Let y(w) be the first derivative of -w**4/84 + w**3/6 - 6*w**2/7 - 52*w + 25. Let m(f) be the first derivative of y(f). Factor m(r).
-(r - 4)*(r - 3)/7
Factor -4*r**2 - 13637*r**3 + 24*r + 22*r**2 + 13628*r**3 - 3*r**4.
-3*r*(r - 2)*(r + 1)*(r + 4)
Let j(f) be the second derivative of 0*f**3 + 0*f**2 + 28*f + 3/20*f**5 - 1 + 13/4*f**4. What is g in j(g) = 0?
-13, 0
Determine o so that -9*o - 1/7*o**3 - 33/7*o**2 - 31/7 = 0.
-31, -1
Let j = -2507 - -2507. Let b(p) be the second derivative of -8*p**2 + 12*p + 8/3*p**3 - 1/3*p**4 + j. Suppose b(m) = 0. What is m?
2
Factor 35 + 1598*i**2 + 501 + 522 - 92*i - 1596*i**2.
2*(i - 23)**2
Suppose 0 - 44/3*y - 15*y**2 - 1/3*y**3 = 0. Calculate y.
-44, -1, 0
Let i = -135 + 133. Let b be (1/i + 1)/(51/68). Solve -1/3*n**2 - 1/3*n + b = 0 for n.
-2, 1
Let f(r) be the third derivative of 1/240*r**6 - 9*r**2 - 6 + 1/420*r**7 + 1/360*r**5 + 0*r**3 + 1/2016*r**8 + 0*r + 0*r**4. Factor f(b).
b**2*(b + 1)**3/6
Suppose -7*z + 20*z - 260 = 0. Let o(t) = -4*t**3 + 6*t**2 - 2*t + 10. Let r(q) = q**3 + q**2 + q - 1. Let g(k) = z*r(k) + 2*o(k). Factor g(d).
4*d*(d + 2)*(3*d + 2)
Factor 2/11*y**2 - 146/11*y + 420/11.
2*(y - 70)*(y - 3)/11
Let l(y) = y**5 + 32*y**4 + 102*y**3 - 40*y**2 - 119*y. Let f(a) = -2*a**4 - 2*a**3 - 2*a. Let z(r) = 4*f(r) - l(r). Determine k so that z(k) = 0.
-37, -3, -1, 0, 1
Suppose 20*b - 17*b = 4*r - 5, -20 = r - 5*b. Suppose 157*h = -r*g + 155*h + 20, -4*g - 3*h = -23. Find n, given that 3/4*n**g + 3/4*n + 0 = 0.
-1, 0
Let u = -25872808/217 - -119231. Let t = -19/31 + u. Factor 6/7*j**2 + 0 + 2/7*j**4 - 2/7*j - t*j**3.
2*j*(j - 1)**3/7
Let p be (-1 + 0)/((-24)/(-112) - (-507)/(-1092)). Find o such that -74/19*o**2 - 2/19*o**p + 20/19*o**3 - 72/19 + 120/19*o = 0.
2, 3
Let r(f) be the first derivative of 88 + 0*f**2 + 0*f**3 - 4/11*f**4 + 0*f - 2/55*f**5. Find h, given that r(h) = 0.
-8, 0
Factor 94/11*p**2 + 2/11*p**3 + 718/11*p - 74.
2*(p - 1)*(p + 11)*(p + 37)/11
Let v(n) be the third derivative of n**7/840 - 31*n**6/160 - 383*n**5/240 - 161*n**4/32 - 97*n**3/12 + 1683*n**2. Determine u, given that v(u) = 0.
-2, -1, 97
Let l be (-60)/(-150)*180/48. Suppose 2*y + 2*y - 2*s = 0, 3*y - 5*s = -14. Find u such that 3/2*u + l*u**y - 3 = 0.
-2, 1
Let f(k) be the first derivative of 3*k**2 - 10*k - 3/4*k**4 + 9 + 1/2*k**3. Let h(a) be the first derivative of f(a). Let h(p) = 0. What is p?
-2/3, 1
Determine v so that 104/3*v + 182/9*v**2 + 14/9*v**5 + 8 - 110/9*v**3 - 38/9*v**4 = 0.
-2, -1, -2/7, 3
Let c(k) be the first derivative of -k**8/1008 - 2*k**7/315 - k**6/72 - k**5/90 + 153*k**2/2 - 226. Let m(w) be the second derivative of c(w). Factor m(f).
-f**2*(f + 1)**2*(f + 2)/3
Suppose 2*p + 2*l + 3 = -3, 4*p + 2*l = -12. Let v be (14/(-56))/(p/144*22). Factor -v - 2*m - 28/11*m**2 + 2/11*m**5 + 2/11*m**4 - 12/11*m**3.
2*(m - 3)*(m 