)/15
Suppose 17 = -3*k - 10. Let h = 13 + k. Find w such that w + 2*w**3 - h*w + w + 2*w**2 - 2*w**4 = 0.
-1, 0, 1
Let y = 1 - 1. Let f = 118465 + -118463. Factor -2/7*a + 2/7*a**f + y.
2*a*(a - 1)/7
Let g(y) = 15*y**4 + 47*y**3 - 50*y - 18. Let o(x) = -x**3 - 1. Let b = 64 + -67. Let z(d) = b*o(d) + g(d). Solve z(q) = 0.
-3, -1, -1/3, 1
Let q be ((-18)/10)/(((-5676)/(-110))/(-43)). Suppose 3/8*m**3 - 3/2*m - 3/8*m**2 + q = 0. What is m?
-2, 1, 2
Let c(y) be the third derivative of -y**6/40 + 11*y**5/20 - 116*y**2. Let c(s) = 0. Calculate s.
0, 11
Suppose 25 = -5*f, 2*m + 4*f + 250 = 18. Let p = m + 108. Suppose 2/3*i**3 - 2/3 - p*i**2 + 2*i = 0. Calculate i.
1
Suppose 2*h = -4*a + 6, 5*a - 18 + 6 = 2*h. Let x(n) be the third derivative of 0 + 6*n**a + 1/8*n**3 + 1/24*n**4 + 0*n + 1/240*n**5. Factor x(d).
(d + 1)*(d + 3)/4
Let t be (16/(-10))/((-14)/35). Factor -10*x**3 + 10*x - 3 + t*x**2 - 2*x**2 - 4*x**2 + 6*x**4 - 1.
2*(x - 1)**2*(x + 1)*(3*x - 2)
Let y(h) be the second derivative of -h**5/130 + h**4/13 - 5*h**3/39 - 12*h**2/13 + h - 175. Let y(x) = 0. What is x?
-1, 3, 4
Suppose 9 = 4*h - h. Find i such that -14*i + h*i**2 + 3*i**3 + i**2 + 8*i - i**2 = 0.
-2, 0, 1
Suppose 2*q = -2*q + 12. Suppose 3 = q*c - 0. Factor 7*z - 1 + 2*z - c - 7*z**2.
-(z - 1)*(7*z - 2)
Let g(c) be the third derivative of 1/15*c**5 + 0*c - 4/3*c**3 + 1/6*c**4 - 22*c**2 + 0. Solve g(o) = 0.
-2, 1
Let w(s) be the second derivative of s**6/195 - 3*s**5/130 - s**4/2 + 115*s**3/39 + 150*s**2/13 - 195*s. Let w(a) = 0. What is a?
-6, -1, 5
Let r(f) be the third derivative of -f**6/30 + 11*f**5/6 + 7*f**4/3 + 26*f**2. Determine y, given that r(y) = 0.
-1/2, 0, 28
Solve -20 - 44 + 2432*o - 31200*o**2 - 50206*o**4 + 140000*o**3 - 12294*o**4 = 0 for o.
2/25, 2
Suppose 5*m = -z - 3*z + 45, 14 = z + 4*m. Suppose z = -5*n + 7*n. Suppose -1 - 2 + 7 + 6 - 5*v**2 - n*v = 0. What is v?
-2, 1
Factor -8*w**2 + 18*w**2 - 11*w**2 - 380*w - 378 - w**2.
-2*(w + 1)*(w + 189)
Let x be 27 + 6108/(-240) + 1/(-4)*3. Factor -x*y + 6/5*y**2 + 0 - 2/5*y**3.
-2*y*(y - 2)*(y - 1)/5
Let t(p) be the second derivative of 7*p**7/8 + 91*p**6/40 + 153*p**5/80 + 9*p**4/16 - 36*p + 2. Factor t(g).
3*g**2*(g + 1)*(7*g + 3)**2/4
Let y(l) be the third derivative of -l**4/24 - l**3/6 + l**2. Let g be y(-3). Factor -3 + 29*w**2 + 5 - 11*w - 16*w**g - 4*w**3.
-(w - 2)*(w - 1)*(4*w - 1)
Suppose -5*a - 2*f = -13, -3*f + 2 = -4*a - 6. Suppose 7*q - a = 13. Let -2/15*o**q + 2/15 + 0*o = 0. What is o?
-1, 1
Let f(d) be the third derivative of -d**8/141120 - d**7/35280 - d**5/12 - 12*d**2. Let w(m) be the third derivative of f(m). Suppose w(r) = 0. Calculate r.
-1, 0
Let y(w) be the second derivative of w**6/360 - 7*w**5/600 + w**4/60 + 11*w**3/6 - 7*w. Let z(n) be the second derivative of y(n). Factor z(k).
(k - 1)*(5*k - 2)/5
Let l(p) be the third derivative of p**5/450 + p**4/15 - 28*p**3/45 + 589*p**2. Factor l(c).
2*(c - 2)*(c + 14)/15
Let k(s) = -s**4 + s**3 + s**2 - s. Let l(u) = 25*u**4 - 115*u**3 + 65*u**2 + 115*u - 90. Let m(r) = -20*k(r) - l(r). Factor m(c).
-5*(c - 18)*(c - 1)**2*(c + 1)
Let x(u) be the third derivative of 1/4*u**4 + 3/40*u**5 + 0 + 0*u**3 + 0*u + 18*u**2. Let x(c) = 0. Calculate c.
-4/3, 0
Let j(y) be the first derivative of 3*y**5/35 + 144*y**4/7 + 9406*y**3/7 + 27360*y**2/7 + 27075*y/7 - 402. Solve j(o) = 0.
-95, -1
Let k(h) = 2*h**3 + 12*h - 4. Let d(t) be the first derivative of -t**2/2 - 1. Let n(x) = -36*d(x) - 2*k(x). Factor n(o).
-4*(o - 2)*(o + 1)**2
Let f(b) be the first derivative of 5*b**4/38 + 92*b**3/19 + 924*b**2/19 - 784*b/19 - 32. Factor f(j).
2*(j + 14)**2*(5*j - 2)/19
Factor -4*b**3 - 8*b - 13*b**2 + 8*b - b**3 - 25*b + 60 - 17*b**2.
-5*(b - 1)*(b + 3)*(b + 4)
Let n(b) be the first derivative of -5*b**4/12 - 70*b**3/9 - 245*b**2/6 - 60*b + 149. Suppose n(m) = 0. Calculate m.
-9, -4, -1
Let b(j) be the first derivative of -1/9*j**3 - 25/3*j - 5/3*j**2 + 14. Suppose b(n) = 0. Calculate n.
-5
Suppose -7*x + 24 = 5*x. Let l be 8/20 - ((-208)/30 + x). Determine w, given that -2/3*w**2 + l*w - 32/3 = 0.
4
Factor -38 + 22 + 55*f + 33 + 5*f**2 + 54 + 49.
5*(f + 3)*(f + 8)
Let q(z) be the second derivative of z**2 - 17*z - 2/3*z**3 - 1/2*z**4 + 0. Factor q(i).
-2*(i + 1)*(3*i - 1)
Let i = -528 + 530. Let j = 2/49 - -139/196. Factor -j*s - 1/2 - 1/4*s**i.
-(s + 1)*(s + 2)/4
Factor -5/2*s**2 + 50*s - 95/2.
-5*(s - 19)*(s - 1)/2
Solve -15 - 8*p**2 - 4*p + 0*p + 4 + 4*p**3 + 19 = 0 for p.
-1, 1, 2
Let s(u) be the second derivative of 169*u**7/189 + 962*u**6/135 + 172*u**5/9 + 376*u**4/27 - 368*u**3/27 + 32*u**2/9 - 45*u. Let s(q) = 0. What is q?
-2, 2/13
Suppose 2*j + 2 = 4*m, j = -2*m + 6 + 1. Suppose 0 = -3*f + 4*v - 6, 0 = -f + 2*f + j*v - 11. Factor -i + f*i + 2*i**3 + 0*i**2 - 2 - 3*i + 2*i**2.
2*(i - 1)*(i + 1)**2
Suppose -392 - 2/9*a**2 - 56/3*a = 0. Calculate a.
-42
Let s(n) be the second derivative of -n**5/20 - 5*n**4/6 + n**3/6 + 5*n**2 + 35*n. Factor s(i).
-(i - 1)*(i + 1)*(i + 10)
Determine b, given that 12*b**3 - 8*b**4 - 2*b**5 + 19 + 64*b**2 + 39*b + 5 + 31*b = 0.
-4, -1, 3
Suppose 3*p - 163 = 2*v, -3*v = -5*p + 7*p - 113. Factor 6*i**2 - 16 - p*i + 167*i + 54*i**2.
4*(i + 2)*(15*i - 2)
Let q(s) be the second derivative of -s**5/80 + 19*s**4/48 + 41*s**3/24 + 21*s**2/8 + 108*s. Factor q(f).
-(f - 21)*(f + 1)**2/4
Let d = 2572/6405 + -2/1281. Solve 4/5 + d*s**3 - 6/5*s + 0*s**2 = 0.
-2, 1
Let m(y) = -y**3 - 7*y**2 + 3*y + 4. Let g be m(-8). Suppose -38*w - 12 = -g*w. What is d in -4/13*d + 2/13*d**w + 0 = 0?
0, 2
Let k(l) = l + 1. Let a = -27 - -29. Let s be (-30)/(-12)*-2*a. Let d(p) = 2*p**2 - 14*p - 10. Let f(m) = s*k(m) - d(m). Factor f(n).
-2*n*(n - 2)
Let y(h) be the second derivative of 3*h**5/20 - 3*h**4/4 + h**3 - h + 88. Factor y(k).
3*k*(k - 2)*(k - 1)
Let o(k) be the third derivative of -k**6/120 + 37*k**5/20 - 73*k**4/8 + 109*k**3/6 + 375*k**2. What is z in o(z) = 0?
1, 109
Let q(v) be the first derivative of -2 + v**3 - 3/2*v**2 - 6*v. Find h such that q(h) = 0.
-1, 2
Let b(a) = -a**3 + 135*a**2 - 342*a + 216. Let r(u) = -45*u**2 + 114*u - 72. Let k(w) = 3*b(w) + 8*r(w). Factor k(q).
-3*(q - 12)*(q - 2)*(q - 1)
Let u = -97/6666 - -3/101. Let w(g) be the second derivative of 16/11*g**2 + 7*g + u*g**4 + 8/33*g**3 + 0. What is r in w(r) = 0?
-4
Suppose -4*w = 2*v - 3 - 3, 2*v = 2*w + 6. Factor -8*c + c**2 + 7*c + v*c**2 - c.
2*c*(2*c - 1)
Let j = 28 + -25. Factor -3*y - 2*y**2 - y**5 + j*y**3 - 3*y**2 + 2*y + 3*y + y**4.
-y*(y - 1)**3*(y + 2)
Factor 3/7 - 15/7*y - 3*y**3 - 39/7*y**2.
-3*(y + 1)**2*(7*y - 1)/7
Let o(w) be the third derivative of 2/3*w**3 + 1/60*w**5 + 0 + 1/336*w**8 - 1/210*w**7 - 8*w**2 + 0*w - 1/24*w**6 + 1/3*w**4. Determine m, given that o(m) = 0.
-1, 2
Let a be 648/(-16)*(-6)/(-9). Let x = -24 - a. Determine j so that 0*j + 1/2*j**2 + 0 - 1/2*j**x = 0.
0, 1
Suppose 8 = 3*c - 2*z, 0*c - 4*c + 6 = 2*z. Factor 38*h**2 - 57*h**c + 15*h**3 + 3*h**4 + 31*h**2.
3*h**2*(h + 1)*(h + 4)
Let n(k) be the third derivative of k**8/4480 - k**7/336 + k**6/120 + 19*k**4/12 + 30*k**2. Let q(c) be the second derivative of n(c). Let q(i) = 0. What is i?
0, 1, 4
Let q(t) be the third derivative of t**5/12 + 5*t**4/3 + 35*t**3/6 + 83*t**2. Factor q(h).
5*(h + 1)*(h + 7)
Let k(t) = -36*t + 688. Let z be k(19). Let p(l) be the second derivative of -5/12*l**z + 8*l + 5/6*l**3 + 5*l**2 + 0. Suppose p(s) = 0. What is s?
-1, 2
Let g(z) = -3*z**3 + 93*z**2 + z - 26. Let h be g(31). Let t(d) be the third derivative of -1/20*d**h - 1/8*d**4 + 2*d**2 + 0*d + 0 + 0*d**3. Factor t(f).
-3*f*(f + 1)
Suppose 3*u - 9 = 56*o - 53*o, u + 5*o + 3 = 0. Solve 0*a**u - 4/13*a**4 + 0 - 2/13*a**5 + 0*a + 0*a**3 = 0.
-2, 0
Let v(g) be the second derivative of -g**8/3360 + g**7/315 + g**6/360 - g**5/15 + g**4 - 13*g. Let h(r) be the third derivative of v(r). Factor h(z).
-2*(z - 4)*(z - 1)*(z + 1)
Let l(s) be the third derivative of -s**8/1680 + 3*s**7/175 + 13*s**6/200 + s**5/15 + 2*s**2. Factor l(k).
-k**2*(k - 20)*(k + 1)**2/5
Let z(u) = 31*u**4 - 43*u**3 - 184*u**2 + 52*u + 6. Let y(k) = 63*k**4 - 84*k**3 - 367*k**2 + 106*k + 13. Let d(o) = -6*y(o) + 13*z(o). Factor d(s).
5*s*(s - 4)*(s + 2)*(5*s - 1)
Let l(u) be the second derivative of 1/30*u**4 + 3*u + 2/5*u**2 - 1/5*u*