+ 1)
Find c such that 55428969*c + 51156 - c**3 + 345*c**2 - 55436865*c - 2*c**3 = 0.
14, 87
Let h = 42 - 33. Let y be h*(12/9)/2. Factor 11*g**3 - y*g**3 + 12*g**3 + 4*g**3 + 6*g**2.
3*g**2*(7*g + 2)
Suppose -172*c + 149*c + 15 = -123. Let v(x) be the third derivative of 5/44*x**4 + 0*x + 3/11*x**3 + 0 + 1/660*x**c - 35*x**2 + 7/330*x**5. Factor v(j).
2*(j + 1)*(j + 3)**2/11
Suppose -24063 = -506*j - 21533. Suppose -11/6*b**2 + 1/2*b**j + 2 + 10/3*b - 23/6*b**3 - 1/6*b**4 = 0. Calculate b.
-2, -1, -2/3, 1, 3
Let i = 12775 - 12775. Let y(m) be the third derivative of 0 - 1/25*m**5 + i*m**3 + 0*m**4 + 3/200*m**6 + 1/50*m**7 - m - 18*m**2. Factor y(z).
3*z**2*(z + 1)*(7*z - 4)/5
Suppose 6*h - 42 = -h. Suppose 0 = j - 3*d - 10, 5*d = -4*j + h. Determine t, given that 6*t**3 + 5*t**3 + t**4 - 4*t**2 + 3*t**j - 4*t - 7*t**3 = 0.
-1, 0, 1
Let d = 201055 + -201053. Let 1092/5*a - 78/5*a**3 - 588/5 - 3/5*a**4 - 423/5*a**d = 0. What is a?
-14, 1
Let a(j) be the first derivative of -14*j**5/55 + 20*j**4/11 + 80*j**3/33 - 160*j**2/11 - 96*j/11 - 267. Suppose a(y) = 0. Calculate y.
-2, -2/7, 2, 6
Suppose -74 + 214 + 343 = 161*x. Let o(a) be the first derivative of 3/8*a**2 + 1/2*a + 7 - 5/12*a**x. Factor o(v).
-(v - 1)*(5*v + 2)/4
Let g(u) = -192*u**3 + 5384*u**2 - 7376*u + 2584. Let m(f) = -385*f**3 + 10766*f**2 - 14753*f + 5172. Let h(v) = 7*g(v) - 4*m(v). Factor h(l).
4*(l - 26)*(7*l - 5)**2
Find w, given that -207*w**2 + 227*w**2 - 320*w**3 + 15*w**5 + 5*w**5 - 92*w**4 - 132*w**2 = 0.
-2, -2/5, 0, 7
Let z(q) be the second derivative of -q**6/11 + 16*q**5/55 + 41*q**4/66 - 2*q**3/11 + 3605*q. Solve z(m) = 0 for m.
-1, 0, 2/15, 3
Let q(i) be the first derivative of -4*i**5/5 + 2*i**4 + 4*i**3 - 8*i**2 - 16*i + 2235. Suppose q(x) = 0. Calculate x.
-1, 2
Let q be (1 + -2 + -17 + 11)*12/(-14). Let x(h) be the second derivative of -1/330*h**q + 1/220*h**5 + 28*h + 0*h**3 + 0*h**2 + 1/66*h**4 + 0. Factor x(p).
-p**2*(p - 2)*(p + 1)/11
Let u = -340 + 344. Suppose -w + 3 + 0 = 2*o, 3*w + 11 = u*o. Suppose -36/5*a**o + 9/5*a + 6/5 + 21/5*a**3 = 0. What is a?
-2/7, 1
Let h(i) be the first derivative of -3*i**4/8 + 265*i**3/3 - 5896*i**2 + 7744*i + 4197. Find l such that h(l) = 0.
2/3, 88
Let l(y) be the second derivative of -5*y**4/12 - 625*y**3/3 + 520*y - 3. Suppose l(a) = 0. Calculate a.
-250, 0
Factor -1/10*x**3 - 368/5*x - 77/10*x**2 + 3174.
-(x - 15)*(x + 46)**2/10
Let x(z) = 2*z**2 - 28*z + 83. Let g be (-10)/8 + 45/4. Let m be x(g). Factor 6/7 - 9/7*h**2 + 3/7*h**4 - 3/7*h**m + 3/7*h.
3*(h - 2)*(h - 1)*(h + 1)**2/7
Let i = 23/112 + 9/112. Determine n so that -i*n**2 - 8/7*n + 8/7*n**3 + 2/7 = 0.
-1, 1/4, 1
Let q(k) be the third derivative of 5*k**8/1512 + 8*k**7/315 - 43*k**6/108 + 211*k**5/135 - 23*k**4/9 + 40*k**3/27 - 10*k**2 + 5. Let q(c) = 0. Calculate c.
-10, 1/5, 1, 2
Let m(y) = -16*y**2 - 12*y + 10. Let w(t) = -t**2 - t + 1. Let p = 1 + 0. Let o(i) = p*m(i) - 10*w(i). Let o(b) = 0. Calculate b.
-1/3, 0
Let b(j) be the second derivative of -j**5/4 - 55*j**4/12 - 65*j**3/2 - 225*j**2/2 + 341*j + 3. Solve b(x) = 0.
-5, -3
Let o(y) = 187*y**3 + 498*y**2 - 1463*y + 972. Let n(c) = -96*c**3 + c**2 - c - 1. Let v(t) = -2*n(t) - o(t). Factor v(a).
5*(a - 97)*(a - 2)*(a - 1)
Let r(x) be the second derivative of x**6/105 + 94*x**5/105 + 1408*x**4/63 - 4096*x**3/63 + 2984*x. Solve r(t) = 0.
-32, 0, 4/3
Let d = 540737/4 - 135184. Let d*b**4 + 1/2*b**2 - b - 3/4 + b**3 = 0. Calculate b.
-3, -1, 1
Let j = 67515 + -67510. Determine p, given that 1/2*p**4 + 0*p**2 + 0 + 0*p + 0*p**3 + 1/2*p**j = 0.
-1, 0
Let v(z) be the third derivative of z**8/336 - 5*z**7/168 + z**6/36 + z**5/3 - 13*z**3/2 + 5*z**2. Let b(c) be the first derivative of v(c). Factor b(i).
5*i*(i - 4)*(i - 2)*(i + 1)
Let i(n) be the second derivative of -n**6/6 - 17*n**5/2 - 40*n**4/3 + 85*n**3/3 + 165*n**2/2 - 20*n - 5. Suppose i(p) = 0. Calculate p.
-33, -1, 1
Let y(q) be the third derivative of 1/15*q**5 + 0*q - 1/3*q**4 + 0 + 2/3*q**3 - 28*q**2. Let y(n) = 0. Calculate n.
1
Let l(u) be the first derivative of -930*u**3 - 53 - 33 - 18*u**2 - 108*u + 929*u**3. Let l(k) = 0. Calculate k.
-6
Let v(o) be the first derivative of 0*o**3 + 5/54*o**6 - 2/9*o**4 + 0*o - 212 - 13/15*o**5 + 0*o**2. Factor v(p).
p**3*(p - 8)*(5*p + 1)/9
Let t(o) be the third derivative of 0*o + 1/720*o**5 - 29/288*o**4 + 0*o**3 + 6*o**2 - 2. What is b in t(b) = 0?
0, 29
Let l(g) be the first derivative of 1/30*g**5 + 0*g**2 + 2/9*g**3 + 0*g - 37 + 5/24*g**4. Factor l(t).
t**2*(t + 1)*(t + 4)/6
Let i(f) be the first derivative of 2*f**3/9 + 162*f**2 + 39366*f - 2087. Factor i(n).
2*(n + 243)**2/3
Let v(i) be the second derivative of 0 - 20*i**2 + 25/4*i**5 + 70/3*i**3 - 95/6*i**4 - 28*i + 5/42*i**7 - 4/3*i**6. Determine d so that v(d) = 0.
1, 2
Suppose 3*m + 2*v - 16 = 0, -v + 1 + 4 = 0. Suppose 3*x + 2*x - 4*t = -m, 5*t - 13 = x. Determine q, given that 0*q**2 + 3 + 0*q**2 - 5*q**2 + x = 0.
-1, 1
Factor -10*r**2 - 76*r - 20*r**3 + 145*r + 84*r**2 - 182*r**2 + 143*r - 84.
-4*(r - 1)*(r + 7)*(5*r - 3)
Let s(k) be the second derivative of 6*k**6/5 - 151*k**5/5 + 533*k**4/3 + 570*k**3 + 324*k**2 - 7*k + 33. Factor s(i).
4*(i - 9)**2*(i + 1)*(9*i + 2)
Let s(a) be the second derivative of 6*a + 3/20*a**5 - 1/90*a**6 + 3/2*a**3 + 0*a**2 - 1 - 3/4*a**4. Factor s(u).
-u*(u - 3)**3/3
Suppose -2*q - 1 + 61 = -5*k, -4*k = -5*q + 65. Let r be 6/k - -1*21/35. Factor -2 + 26*n + 2 + r + 140*n**2 - 4.
2*(7*n + 2)*(10*n - 1)
Suppose 8/9*c**2 + 2/9*c**5 + 848/9*c - 212/3*c**3 + 0 + 206/9*c**4 = 0. What is c?
-106, -1, 0, 2
Factor -371/2*b + 37 - 2*b**3 + 301/2*b**2.
-(b - 74)*(b - 1)*(4*b - 1)/2
Let b(d) be the second derivative of -2*d**7/63 - 44*d**6/45 - 59*d**5/15 - 38*d**4/9 - 310*d + 11. Suppose b(h) = 0. Calculate h.
-19, -2, -1, 0
Let o = 1924 - 1560. Let f = 2572/7 - o. Let -2/7*u - f*u**4 - 16/7*u**2 - 38/7*u**3 + 0 = 0. Calculate u.
-1, -1/3, -1/4, 0
Factor -18 - 3/4*o**2 - 23/2*o + 1/4*o**3.
(o - 9)*(o + 2)*(o + 4)/4
Let v(m) be the second derivative of m**5/45 - 35*m**4/27 + 116*m**3/9 + 4*m + 746. Factor v(f).
4*f*(f - 29)*(f - 6)/9
Determine x, given that -163138*x + 797543121 + 3850332*x + 3522*x**2 + 33847*x + 3*x**3 + 2265*x**2 = 0.
-643
Suppose 2*c - c - 5 = 0. Suppose -121 - 68 = -23*i - 4*i. Suppose -8*j**2 + j**2 - c*j**2 + i*j**2 + 5 = 0. Calculate j.
-1, 1
Let q be (153*-13*(-18)/5265)/((28/5)/4). Factor 0 + 2/7*w**3 - 76/7*w - q*w**2.
2*w*(w - 19)*(w + 2)/7
Let k be ((-9)/7 - (-22)/77)*0. Suppose -q = -k*q - 3. Find w, given that 14 + 15*w - 15*w**q - 10*w**2 + 16 - 20 = 0.
-1, -2/3, 1
Let v(m) be the first derivative of -m**6/21 - 34*m**5/35 - 65*m**4/14 - 110*m**3/21 + 66*m**2/7 + 144*m/7 - 6404. Find f such that v(f) = 0.
-12, -3, -2, -1, 1
Suppose 7*u + 5*u - 48 = 0. Let x be ((-24)/(-3))/u*4/10. What is s in x*s**2 + 0 - 2/5*s - 2/5*s**3 = 0?
0, 1
What is i in 3/4*i**2 + 11907/4 + 189/2*i = 0?
-63
Suppose 1955554 + 8384*t + 1272158 + 1165504 - 37*t**2 + 41*t**2 = 0. What is t?
-1048
Let t = 615 + -613. Suppose 2*n + 2*k = 6*k + 12, t = -k. Factor 1/2*z**4 + 2*z**3 + 0 + 0*z + 2*z**n.
z**2*(z + 2)**2/2
Let n(v) be the third derivative of 22 + v**2 + 0*v + 1/1260*v**6 - 11/630*v**5 + 11/63*v**3 - 1/252*v**4. Solve n(b) = 0.
-1, 1, 11
Let u be 2 - (-7 + 3 - -18). Let z(k) = -4*k - 46. Let s be z(u). Suppose 0 + 2/5*o**3 - 2/5*o - 2*o**4 + s*o**2 = 0. Calculate o.
-1, 0, 1/5, 1
Suppose -5*b + 94 = 79. Factor w**3 - 14*w**3 + 2*w**5 - 4*w - w**b + 36*w - 2*w**3.
2*w*(w - 2)**2*(w + 2)**2
Let d(h) be the third derivative of h**8/168 - h**7/35 + h**6/60 + h**5/10 - h**4/6 + 126*h**2 + 6*h. Factor d(i).
2*i*(i - 2)*(i - 1)**2*(i + 1)
Find d such that -d**3 + d**3 + 5*d**5 - 9*d**2 - 15*d**3 - d**2 = 0.
-1, 0, 2
Let g = 37829/302472 + -5/75618. Factor 0 + 0*b + g*b**2.
b**2/8
Let v(z) = 5*z**3 - 9*z**2 + 133*z - 77. Let p(a) = 4*a**3 - 6*a**2 + 100*a - 58. Let s(c) = 13*p(c) - 10*v(c). Factor s(r).
2*(r - 1)**2*(r + 8)
Let d = -374 - -372. Let p be (-7)/(-2 + -5) + (-2)/d. Factor -4*c + 2/5*c**p + 10.
2*(c - 5)**2/5
Find v such that 8*v**3 + 24*v**5 + 51*v**4 + 25*v**3 - 120*v**2 + 123*v**2 - 13*v**3 + 10*v**3 = 0.
-1, -1/8, 0
Let d(y) be the first derivative of 11*y**3/2 - 75*y**2/2 - 144*y + 10580. Find t such t