(m - 1)*(m + 5)
Let d = -2/267111 - -2493038/267111. Let d*s**3 - 20/3*s**4 + 308/3*s**2 - 4/3*s**5 + 96 + 184*s = 0. What is s?
-3, -2, -1, 4
Let n(z) be the first derivative of -2*z**3/51 - 460*z**2/17 - 105800*z/17 - 734. What is r in n(r) = 0?
-230
Find z such that -36/7 - 16*z - 15/7*z**4 - 1/7*z**5 - 67/7*z**3 - 129/7*z**2 = 0.
-9, -2, -1
Let c(o) be the first derivative of -o**4/6 + 16*o**3/3 - 15*o**2 + 2*o - 68. Let z(x) be the first derivative of c(x). Let z(g) = 0. What is g?
1, 15
Factor -u**2 - 3785*u - 9366203 - 5329*u - 2*u**2 + 2444120.
-3*(u + 1519)**2
Factor -51*v**2 + 4*v**2 - 3*v**3 - 41*v**2 - 10*v**2 + 3*v**2 - 62*v.
-v*(v + 31)*(3*v + 2)
Let y(n) be the second derivative of -n**4/2 + 15*n**3/2 - 33*n**2 - 23*n. Factor y(w).
-3*(w - 2)*(2*w - 11)
Let v(m) be the third derivative of 0*m**3 + 0 - 1/6*m**4 + 19/90*m**5 + 0*m + 7/180*m**6 - 100*m**2. Factor v(y).
2*y*(y + 3)*(7*y - 2)/3
Let i(o) be the third derivative of -5*o**8/2016 - 149*o**7/1260 - 211*o**6/144 - 1523*o**5/360 - 113*o**4/36 + 40*o**3/9 - 10378*o**2. Solve i(p) = 0.
-20, -8, -1, 1/5
Let t(b) be the third derivative of 16*b**6/5 - 4828*b**5/5 - 4831*b**4/16 - 151*b**3/4 - b**2 + 167*b. Find h such that t(h) = 0.
-1/16, 151
Factor -1/7*f**4 - 10*f - 48/7 + 3/7*f**2 + 24/7*f**3.
-(f - 24)*(f - 2)*(f + 1)**2/7
Suppose 0 = -50*z + 42*z + 40, -5*d - z + 30 = 0. Let r(q) be the third derivative of 0*q - 1/44*q**4 + 1/330*q**d + 0 - 14*q**2 + 0*q**3. Solve r(c) = 0.
0, 3
Find k, given that 8479 + 1180*k**2 + 104*k**3 + 3451 + 2*k**4 + 2758 + 15*k**2 + 7776*k + 245*k**2 = 0.
-34, -6
Let v(u) be the second derivative of -3*u**5/4 - 51*u**4/2 - 20*u**3 + 340*u. Determine y, given that v(y) = 0.
-20, -2/5, 0
Factor 1/9*z**3 - 637/3 + 595/9*z - 53/9*z**2.
(z - 39)*(z - 7)**2/9
Let s(r) be the third derivative of 23/1176*r**8 + 31*r + 0*r**5 + 0*r**3 - 5/147*r**7 + 0 + r**2 + 0*r**4 + 1/210*r**6. Find y, given that s(y) = 0.
0, 2/23, 1
Suppose -120 = 30*u - 0. Let j be 1 + 9 + u + (-136)/(-12). Find c such that 8*c + 12*c**4 - j*c**2 + 16/3 - 10/3*c**5 - 14/3*c**3 = 0.
-1, -2/5, 1, 2
Let v = -508588/9 - -56510. Factor v*s**2 + 4/9*s - 2/9*s**3 + 0.
-2*s*(s - 2)*(s + 1)/9
Factor -3/2*n**2 - 9/2*n + 1/2*n**3 + 27/2.
(n - 3)**2*(n + 3)/2
Let g be (-1)/2 - 30/(-12). Suppose -12*p - 39348 + 3*p**g + 39348 = 0. What is p?
0, 4
Let x(k) be the first derivative of 9*k**4/4 - 662*k**3 + 3291*k**2/2 - 1314*k + 142. Determine q, given that x(q) = 0.
2/3, 1, 219
Let u = 273023 + -273020. Let 22/3*z**2 - 16 + 86/3*z - 4/3*z**u = 0. Calculate z.
-3, 1/2, 8
Suppose r + 0*r = 13*r - 48. Let t(z) be the first derivative of -8/3*z**3 - 2/3*z**6 + 2*z**r - 2*z**2 + 4/5*z**5 + 18 + 4*z. Factor t(y).
-4*(y - 1)**3*(y + 1)**2
Let b(p) = p**3 + 12*p**2 - 6*p + 6. Let c be b(-12). Let g be (6/(-8))/3 + c/24. Factor -4/3*x**g - 11/3*x - 19/3*x**2 + 4/3.
-(x + 1)*(x + 4)*(4*x - 1)/3
Let l(h) = 2*h**2 - h + 9. Let t(r) = -9*r**2 - 36*r - 63. Let a(j) = 3*l(j) + t(j). What is c in a(c) = 0?
-12, -1
Let n = 4467731/1787094 + 2/893547. Determine x so that 5*x**3 - 20/3*x + 7/6*x**4 + n*x**2 - 2 = 0.
-3, -2, -2/7, 1
Let b be 2/(-8) + 390/24 + 1. Suppose 2*w = -5*g, 0*w + b = g - 3*w. What is t in -42/13*t + 10/13*t**3 - 2/13*t**4 + 36/13 - 2/13*t**g = 0?
-2, 1, 3
Let k(a) be the second derivative of 0*a**2 + 2*a - 5/12*a**3 - 16 - 5/12*a**4. Factor k(y).
-5*y*(2*y + 1)/2
What is t in -97*t**3 - 3*t**4 + 2*t**2 - 49*t**3 - 1122312*t + 1122458*t + t**2 = 0?
-146/3, -1, 0, 1
Suppose 54*j + 21*j - 2250 = 0. Suppose -j = -195*q + 180*q. Determine y so that -1/2*y + 1/6*y**q + 1/3 = 0.
1, 2
Let f(z) be the first derivative of 3*z**5/4 + z**4/2 - 3*z**3/2 - 119*z + 203. Let m(w) be the first derivative of f(w). Factor m(p).
3*p*(p + 1)*(5*p - 3)
Let a(f) be the third derivative of 0*f - 2*f**2 + 0*f**4 - 1/60*f**5 + 1/720*f**6 + 0 - 5/6*f**3. Let g(l) be the first derivative of a(l). Factor g(b).
b*(b - 4)/2
Let g(z) = z**3 - z - 1. Let b(t) = t**4 - 13*t**2 + 12*t - 3. Suppose 2 = -39*o + 41*o. Let c(n) = o*b(n) - 3*g(n). Factor c(j).
j*(j - 5)*(j - 1)*(j + 3)
Let k = 100253 + -100250. Factor 2/3*m**k - 10/3*m**2 + 0*m + 0.
2*m**2*(m - 5)/3
Solve -2/5*a**2 + 3812/5*a - 1816418/5 = 0 for a.
953
Let k(z) = 18*z + 489. Let w be k(-27). Let s = 339 + -2369/7. Find g such that -2/7*g**5 - 4/7*g**2 + 2/7*g + 0 + s*g**4 + 0*g**w = 0.
-1, 0, 1
Let v(y) be the third derivative of y**7/2310 + y**6/165 + y**5/44 - y**4/66 - 10*y**3/33 - 1111*y**2. Determine n so that v(n) = 0.
-5, -2, 1
Let x(s) be the first derivative of 2*s**3/3 - 103*s**2 - 1313. Let x(h) = 0. What is h?
0, 103
Suppose -119*c - 10*c + 2224 = 850*c - 713. Suppose -144/5*z - 6/5*z**5 - 6/5*z**4 + 12*z**c + 24/5*z**2 + 0 = 0. Calculate z.
-3, -2, 0, 2
Let x(h) = h**2 - 2*h - 2. Let c(n) = n**3 - 41*n**2 + 258*n + 20. Let y(t) = 3*c(t) + 30*x(t). Factor y(w).
3*w*(w - 17)*(w - 14)
Suppose -6869400/11*y + 2450086000/11 + 6420/11*y**2 - 2/11*y**3 = 0. What is y?
1070
Factor 2/7*q**2 - 248/7*q + 0.
2*q*(q - 124)/7
Let k(a) = 5*a**3 + 17*a**2 - 2*a + 2. Let q(f) = -16*f**3 - 52*f**2 + 7*f - 7. Let w(c) = 2*c - 14. Let g be w(6). Let h(r) = g*q(r) - 7*k(r). Factor h(t).
-3*t**2*(t + 5)
Let i(g) be the second derivative of -g**7/126 - 79*g**6/45 - 157*g**5/60 - 3270*g. Find z such that i(z) = 0.
-157, -1, 0
Find u such that 325603 - 324198 + 16*u**3 - 11*u**3 + 15*u**3 - 7570*u**2 + 1935*u**2 + 4210*u = 0.
-1/4, 1, 281
Let p(f) be the third derivative of f**9/1008 + f**8/80 - f**7/28 - 2*f**6/15 - 4*f**3/3 - 4*f**2 + 3. Let q(w) be the first derivative of p(w). Factor q(v).
3*v**2*(v - 2)*(v + 1)*(v + 8)
Let -125 + 12655*p**4 - 12649*p**4 - 567*p**3 + 3*p + 837*p**2 - 154 = 0. What is p?
-1/2, 1, 93
Factor 23*m**5 + 40*m**5 - 306*m**3 - 132*m**3 - 44*m**4 - 529*m + 1012*m**2 - 87*m**5 + 23*m**5.
-m*(m - 1)**2*(m + 23)**2
Let h(o) be the third derivative of o**8/1008 - o**7/630 - 11*o**6/360 + o**5/20 + o**4/4 + 1132*o**2. Solve h(w) = 0.
-3, -1, 0, 2, 3
Let r be (-6 - (-3 + -1))/((-2)/(-373)). Let w = -369 - r. Find v, given that 0*v + 0 + 0*v**3 + 1/4*v**2 - 1/4*v**w = 0.
-1, 0, 1
Let -198 + 3/4*c**2 + 195/2*c = 0. Calculate c.
-132, 2
Let q(d) = -12*d + 19. Let v be q(2). Let h(x) = 5*x**2 - 75*x + 85. Let y(g) = 3*g**2 - 76*g + 85. Let t(k) = v*y(k) + 4*h(k). Factor t(z).
5*(z - 1)*(z + 17)
Let a be (-3)/121*(-676 + 654). Suppose a*x**3 - 18*x - 102/11 - 90/11*x**2 = 0. Calculate x.
-1, 17
Factor -36 + 0*r**2 - 1/2*r**3 + 73/2*r.
-(r - 8)*(r - 1)*(r + 9)/2
Let u be (80/360)/(95/342). Factor 4/5*h**3 + 4/5 - u*h - 4/5*h**2.
4*(h - 1)**2*(h + 1)/5
Let j(y) = y**2 - 42*y + 80. Let a(c) = -c + 2. Let s(m) = -2*a(m) + j(m). Factor s(i).
(i - 38)*(i - 2)
Let p = 21314 - 149180/7. Factor 0 - 20/7*q**2 + p*q + 2/7*q**3.
2*q*(q - 9)*(q - 1)/7
Suppose -290*g = -295*g - 7930. Let z be (-244)/g + -1*(-74)/26. Factor -2*r + 4 - 7/4*r**2 - 1/4*r**z.
-(r - 1)*(r + 4)**2/4
Let g(q) be the third derivative of q**8/10080 - q**7/360 + q**6/30 + 13*q**5/10 - q**2 + 56*q. Let z(n) be the third derivative of g(n). Factor z(t).
2*(t - 4)*(t - 3)
Suppose -201*m + 154/3*m**2 - 1/3*m**3 + 150 = 0. What is m?
1, 3, 150
Let j be (-28556)/(-413) - (-2)/(-21)*-9. Let u be 3 + (-44)/20 - j/(-225). Factor -16/9*n**2 + 2/9*n**3 + u*n + 100/9.
2*(n - 5)**2*(n + 2)/9
Solve 18 - 2*h**2 - 6*h + 2/3*h**3 = 0 for h.
-3, 3
Let p(c) be the third derivative of -c**6/1200 + c**5/30 + 2*c**4/5 + c**2 - 5014*c. Factor p(a).
-a*(a - 24)*(a + 4)/10
Let k(o) be the first derivative of 489*o**4/20 + 976*o**3/15 + 97*o**2/2 - 2*o/5 - 159. Determine u, given that k(u) = 0.
-1, 2/489
Let s(t) be the first derivative of t**4/60 - t**3/30 + 73*t - 33. Let r(d) be the first derivative of s(d). Determine n, given that r(n) = 0.
0, 1
Let r be (1 - 1)/(-2 + 2 - 3). Let s be -5*-6*1 + r/(-2). Solve 0*j**2 + s*j - 21 - 13 - 11 - 5*j**2 = 0.
3
Let c(y) = 15*y**2 + 25466*y + 19845014. Let w(h) = 7*h**2 + 12714*h + 9922506. Let d(o) = -3*c(o) + 7*w(o). Factor d(q).
4*(q + 1575)**2
Let u = -42261/2 + 21132. Let j be 3/5 + (-12)/(-5). Let -6*g**3 - 3 + 0*g**4 + 9/2*g + u*g**5 + j*g**2 = 0. Calculate g.
-2, -1, 1
Let l(i) be the second derivative of -2/21*i**7 + 112*i + 0 - 80/3*i**3 - 68/3*i**4 + 0*i**2 - 42/5*i*