f**5 + 97767 - 97767 = 0.
0, 6/13, 1
Let s(b) = -b**3 - b**2 + 12*b + 3. Let z be s(0). Factor -20*k - 4*k + 4*k**3 + 17*k**2 - 6*k**z + 0*k**2 + 9*k**2.
-2*k*(k - 12)*(k - 1)
Suppose -64*j**2 + 244*j + 4/7*j**3 + 2160/7 = 0. What is j?
-1, 5, 108
Factor -1/2*d**4 + 0 - 2*d**3 - d - 5/2*d**2.
-d*(d + 1)**2*(d + 2)/2
Let v = -1505/139 - -23131/2085. What is w in 0*w + 0 + 2/15*w**3 - v*w**2 = 0?
0, 2
Let u be (259 - 255) + (-3 + 4 + -1 - (-4 + 2)). Find p, given that -12 + 15*p - 3/2*p**4 - u*p**3 + 9/2*p**2 = 0.
-4, -2, 1
Let a = -24207/2 - -12156. Solve -25*m + a + 5/2*m**2 = 0.
3, 7
Let o(s) be the second derivative of s**4/6 - 83*s**3/3 + 882*s**2 + s - 2. Let q(w) = w**2 - 165*w + 1764. Let y(c) = -3*o(c) + 2*q(c). What is r in y(r) = 0?
21
Let o be ((-117)/624)/(180/(-16)). Let l(a) be the second derivative of -1/24*a**4 + 0 + 1/24*a**3 + 0*a**2 + 0*a**5 - 13*a + o*a**6 - 1/168*a**7. Factor l(i).
-i*(i - 1)**3*(i + 1)/4
Let p be -3*((-1488)/(-54) - 28). Factor -p*x - 2/9*x**2 + 0.
-2*x*(x + 6)/9
Let a(g) = 3*g + 190. Let o be a(26). Factor 2612*n**3 - 3888*n + 25*n**5 - 1256*n**2 + 1723*n**2 + 2845*n**2 + 430*n**4 - o*n**3 + 864.
(n + 6)**3*(5*n - 2)**2
Suppose -5*o = -2*u + 24, 45059*o = 45060*o + 4. Factor -2*z + 2/3*z**3 + 4/3*z**u + 0.
2*z*(z - 1)*(z + 3)/3
Let h(t) be the third derivative of 0 + 1/54*t**4 - 132*t**2 + 1/540*t**5 + 0*t + 0*t**3. Find n such that h(n) = 0.
-4, 0
Let w be (-132)/(-48) - (-2)/8. Let g(v) = 3*v**3 - v**2 - 5*v. Let y(x) = 6*x**3 - 2*x**2 - 9*x. Let o(d) = w*y(d) - 5*g(d). Suppose o(l) = 0. Calculate l.
-2/3, 0, 1
Suppose -2*b - 31 = 3084*f - 3087*f, 0 = -5*f + b + 26. Let 4/7*i**2 - 8/7 + 4/7*i**4 - 12/7*i + 12/7*i**f = 0. What is i?
-2, -1, 1
Factor -12*a - 45 + 26*a**2 - 20/3*a**3 + 1/3*a**4.
(a - 15)*(a - 3)**2*(a + 1)/3
Let f be 55/((-1980)/16)*-84. Factor 32 + 2/9*u**3 + 50/9*u**2 + f*u.
2*(u + 1)*(u + 12)**2/9
Let n be -1 - 3 - (-18 - (-13 + 3)). Let s(d) be the second derivative of 29*d - 1/16*d**n + 0 + 9/4*d**2 + 5/8*d**3. Factor s(o).
-3*(o - 6)*(o + 1)/4
Let h(w) be the first derivative of 8/3*w**3 + 0*w - 1/3*w**6 + 88/15*w**5 + 13/3*w**2 - 11*w**4 - 289. Solve h(m) = 0.
-1/3, 0, 1, 13
Solve -127/9*v - 1/9*v**2 - 164/3 = 0 for v.
-123, -4
Suppose 0 = -9*y + 27. Suppose 3*d = y*c, d + 3*c - 18 - 2 = 0. Find h, given that -123*h + 258 + 23*h + 242 + d*h**2 = 0.
10
Let c be (-77)/(-9) + 108/243. Let g be (c - 14) + (-7)/(-1). Factor -3/2*j**g - 18*j - 54.
-3*(j + 6)**2/2
Let k(t) be the third derivative of -t**8/112 - 3*t**7/14 - 47*t**6/40 + 63*t**5/20 - 8739*t**2. Find v such that k(v) = 0.
-9, -7, 0, 1
Let y(g) be the first derivative of g**6/180 + 8*g**5/15 + 31*g**4/12 + 46*g**3/9 - 23*g**2 - g - 114. Let w(b) be the second derivative of y(b). Factor w(x).
2*(x + 1)**2*(x + 46)/3
Factor 3014*f + 4637*f**2 - 2*f**3 - 17908 - 9490*f**2 + 4749*f**2.
-2*(f - 11)**2*(f + 74)
Determine d so that -9*d**2 - 460 - 22*d**2 - 28*d**2 + 61*d**2 + 226*d = 0.
-115, 2
Let h = -919 + 487. Let q be (-8*9/h)/(2/18). Factor -9/2*k**4 + 6*k**2 + 0*k**3 + 0 + q*k**5 + 0*k.
3*k**2*(k - 2)**2*(k + 1)/2
Let q(k) be the second derivative of 9/2*k**3 + 32*k - 12*k**2 - 1 - 1/4*k**4. Factor q(u).
-3*(u - 8)*(u - 1)
Let c = 67459/44970 - 2/22485. Factor c*h**3 - 24 + 0*h**2 - 18*h.
3*(h - 4)*(h + 2)**2/2
Let d(r) be the first derivative of -20*r**4 + 55/3*r**3 + 7*r**5 - 37 - 5*r**2 + 0*r. Suppose d(t) = 0. What is t?
0, 2/7, 1
Let l be (-28 - 1)/(-58)*16. Factor 0 + 3*t**4 + l*t + 1/2*t**3 - 12*t**2 + 1/2*t**5.
t*(t - 1)**2*(t + 4)**2/2
Let t(g) be the first derivative of -50 + 1/14*g**4 + 12/7*g**2 + 0*g + 26/21*g**3. Let t(f) = 0. What is f?
-12, -1, 0
Let 275*r + 2583*r - 9*r**4 + 968*r**2 + 1344*r**3 + 328*r + 912 + 2659*r**2 = 0. What is r?
-1, -2/3, 152
Suppose 0 = 4*c + 4 + 16, -5*m + 15 = c. Factor -2*k - 2*k**4 + 0*k + 3*k**3 + 0*k + 3*k**m + 3*k**2 + 3*k.
k*(k + 1)**3
Let y(j) = -64*j**3 + 246*j**2 - 293*j + 58. Let f(d) = 21*d**3 - 82*d**2 + 98*d - 20. Let b(u) = 21*f(u) + 6*y(u). Factor b(q).
3*(q - 2)**2*(19*q - 6)
Let r(h) be the first derivative of 15*h**4/16 + 13*h**3/2 - 177*h**2/8 + 21*h - 1093. Solve r(j) = 0.
-7, 4/5, 1
Solve 2/7*n**3 + 286/7*n - 338/7 + 50/7*n**2 = 0.
-13, 1
Let o be (-3 + (-3558)/55740*-47)*2. Let i = 182083/4645 + o. Solve -56/5*z - 4/5*z**2 - i = 0 for z.
-7
Let s(i) = i + 7 - 4*i - 4*i - 2*i. Let t be s(-5). Solve 5*x**3 - 2*x**3 - t*x**4 + 49*x**4 = 0 for x.
0, 1
Suppose 4*r - 15*v = 1075 - 902, -2*r + 15 = -v. Suppose -35937/4*x + 0 - 3267/2*x**r - 99*x**3 - 2*x**4 = 0. What is x?
-33/2, 0
What is m in -1245*m**2 - 194*m - 1690 - 2896*m + 295*m - 145*m**3 - 5*m**4 = 0?
-13, -2, -1
Let y(z) be the second derivative of z**7/210 + 7*z**6/60 + 8*z**5/15 - 16*z**4/3 - 81*z**2/2 + 28*z. Let v(p) be the first derivative of y(p). Factor v(c).
c*(c - 2)*(c + 8)**2
Let q(w) be the second derivative of -w**4/3 + 128*w**3/3 - 248*w**2 - 1267*w. Suppose q(a) = 0. Calculate a.
2, 62
Let g(j) be the first derivative of j**6/3 + 28*j**5/5 + 9*j**4/2 - 112*j**3/3 - 52*j**2 - 8263. What is m in g(m) = 0?
-13, -2, -1, 0, 2
Suppose 3930 - 3*p**2 + 6*p - 7804 + 4234 = 0. Calculate p.
-10, 12
Let c(z) be the second derivative of 3*z**5/20 + 3*z**4/2 + 11*z**3/2 + 9*z**2 + 277*z + 4. Factor c(a).
3*(a + 1)*(a + 2)*(a + 3)
Let c(q) be the second derivative of 1/60*q**5 + 16*q + 1/6*q**3 + 5/2*q**2 - 17/96*q**4 + 0. Let v(b) be the first derivative of c(b). Solve v(w) = 0.
1/4, 4
Let j(v) = -11*v**3 - 25*v**2 - 93*v + 73. Let b(g) = 6*g**3 + 12*g**2 + 50*g - 36. Let x(k) = -7*b(k) - 4*j(k). Factor x(a).
2*(a - 1)*(a + 4)*(a + 5)
Let 6*z + 0 + 1/2*z**4 - 3*z**3 + 5/2*z**2 = 0. Calculate z.
-1, 0, 3, 4
Suppose -4*j + 10 = v + 3, -4 = 4*v. Let i be 15/(-12)*j + 4. Determine p, given that 0*p**4 - 1/2*p**5 - p**2 + 0 + i*p**3 + 0*p = 0.
-2, 0, 1
Let o be 374/(-42) - 10/105 - -9. Let a(f) be the second derivative of 0 - 17/30*f**5 - 1/45*f**6 + o*f**2 + 9*f**3 - 7/2*f**4 + 41*f. Factor a(i).
-2*i*(i - 1)*(i + 9)**2/3
Factor 1602/5*u - 3/5*u**2 - 213867/5.
-3*(u - 267)**2/5
Let u(q) be the second derivative of 7/130*q**5 + 5/3*q**3 + 114*q - 29/39*q**4 - 14/13*q**2 + 0. Factor u(g).
2*(g - 7)*(g - 1)*(7*g - 2)/13
Suppose -9*k - 75 = -12*k. Suppose k*y - 28*y + 6 = 0. Determine n so that -18*n**2 - 12*n**y - 8 - 4*n + 34*n**2 = 0.
-1, 2
Let a(p) be the third derivative of 0 + 3*p + 1/3*p**3 - 1/12*p**4 + 12*p**2 + 1/120*p**5. Suppose a(i) = 0. Calculate i.
2
Let j = -67/192 - -33/64. What is u in -1/6*u**2 + 1/6*u**4 + 1/6*u + 0 - j*u**3 = 0?
-1, 0, 1
Suppose 3*g = 2*m + 15, m - 6 = -g - 1. Let -4*p**4 - 2*p**3 + 4*p**2 + 0*p**3 + p**3 - 3*p**3 + 4*p**g = 0. Calculate p.
-1, 0, 1
Let p(d) be the second derivative of d**4/102 - 6*d**3/17 + 45*d**2/17 + 1224*d + 1. Factor p(s).
2*(s - 15)*(s - 3)/17
Let l(o) = -o**2 + 34*o. Let c(s) = -34*s. Let v = -5 + 8. Let q(t) = v*c(t) + 2*l(t). Solve q(r) = 0.
-17, 0
What is g in g**2 + 9*g**3 - 1/4*g**4 + 0 - 36*g = 0?
-2, 0, 2, 36
Let p = 204335 - 204330. Factor 3/4*f**3 + 3/4*f**p + 0*f + 0 + 0*f**2 + 3/2*f**4.
3*f**3*(f + 1)**2/4
Let c(n) = n**2 - 3611*n - 10839. Let v be c(-3). Factor 0 + 9/4*f + 3/4*f**4 - 9/4*f**v - 3/4*f**2.
3*f*(f - 3)*(f - 1)*(f + 1)/4
Factor -3072*c - 15/2*c**2 + 1230.
-3*(c + 410)*(5*c - 2)/2
Let m be (-13207)/(-4230) + (-1)/(-10). Let w = 23/18 + m. What is a in -5/2*a**4 + 0 + a - 7/2*a**2 + w*a**3 + 1/2*a**5 = 0?
0, 1, 2
Factor -24 + 146/5*r + r**2.
(r + 30)*(5*r - 4)/5
Let d(z) = 403*z**2 - 4830*z - 70. Let n be d(12). Suppose 8/3*b**3 - 2*b + 0*b**4 - 4/3*b**n - 2/3*b**5 + 4/3 = 0. What is b?
-2, -1, 1
Let v(u) be the third derivative of u**6/1380 + 17*u**5/690 + 95*u**4/276 + 175*u**3/69 - u**2 + 3. Suppose v(i) = 0. Calculate i.
-7, -5
Let f be ((-2022)/192 - -17) + 1/32. Find u, given that 23/2*u**2 + 0 + 1/2*u**4 - 11/2*u - f*u**3 = 0.
0, 1, 11
Suppose 2*z - 8 = -2*z. Let r(i) = -i**5 - 7*i**4 - 6*i**3 - 2*i**2 + 1. Let g(t) = t**5 - t**4 + 1. Let n = -7 - -5. Let s(y) = n*g(y) + z*r(y). Factor s(o).
-4*o**2*(o + 1)**3
Let g be 2/10*(-610)/(-1098). Let c(s) be the second derivative of -1/90*s**5 + 0*s**4 - 27*s + 0 + g*s**3 + 2/9*s**2. Factor c(j).
-2*(j - 2)*(j + 1)**2/9
Let b(w) be the second derivative of 0 - 102/25*w**5 +