f + 1)*(f + 2)**3/2
Suppose 1 - 373*u - 1 - 18*u**2 - 3*u**3 + 0 + 394*u = 0. What is u?
-7, 0, 1
Let s(b) be the third derivative of b**6/200 - b**5/100 - b**4/5 + 6*b**3/5 - 28*b**2. Determine h, given that s(h) = 0.
-3, 2
Suppose -310 + 299 = 2*i - 5*o, -5*i - 2*o = -16. Find d, given that -2/7*d**3 + 0*d**i + 0*d - 2/7*d**5 - 4/7*d**4 + 0 = 0.
-1, 0
Let y(g) = g**2. Suppose 5 - 1 = -2*t. Let k(w) = -4*w**2 + 2*w. Let h(a) = t*k(a) - 4*y(a). Factor h(f).
4*f*(f - 1)
Suppose -25 - 20 = 3*h. Let q(d) = -d. Let s(w) = w**2 + 7*w + 25. Let v(i) = h*q(i) + 5*s(i). Solve v(k) = 0.
-5
Let v(p) = 10*p**2 + 120*p + 730. Let l(c) = 9*c**2 + 120*c + 728. Let z(q) = -5*l(q) + 4*v(q). Factor z(o).
-5*(o + 12)**2
Let g(p) be the third derivative of p**6/120 + p**5/20 - 2*p**3/3 + 6*p**2 + 2*p. Factor g(b).
(b - 1)*(b + 2)**2
Let k(y) be the first derivative of 1/3*y**3 + 8 + 0*y - 1/2*y**2. Determine h so that k(h) = 0.
0, 1
Let o = 15031/2 + -7513. Find h such that -5/2*h**2 + o - 5/2*h + 5/2*h**3 = 0.
-1, 1
Suppose 45*l = 235 - 235. Let 0 - 2/5*t**2 + l*t = 0. What is t?
0
Let 120/13*i**3 + 27000/13*i - 2/13*i**4 - 101250/13 - 2700/13*i**2 = 0. Calculate i.
15
Let f(u) = -u**2 - u + 2. Let c be f(1). Determine a, given that 6 + c - 3*a - 3*a + 2*a - 2*a**2 = 0.
-3, 1
Let v(g) be the third derivative of g**8/336 - g**7/70 - g**6/30 + 4*g**5/15 - 8*g**3/3 - g**2 - 7*g. Factor v(y).
(y - 2)**3*(y + 1)*(y + 2)
Let h be 279/(-630) + (27/6)/9. Let b(k) be the first derivative of h*k**5 + 0*k**4 - 4/21*k**3 - 2 + 0*k**2 + 2/7*k. Factor b(y).
2*(y - 1)**2*(y + 1)**2/7
Determine n so that -28 - 113 - 38 + 3*n**3 + 3*n**2 + 44 - 63*n = 0.
-3, 5
Let q be 1/(-2) - 1 - 81/(-2). Factor -10*k**2 + 5*k**3 - q*k**4 + 20*k**4 + 24*k**4.
5*k**2*(k - 1)*(k + 2)
Let f(m) = 4*m**4 + 15*m**3 + 42*m**2 + 37*m + 12. Let w(i) = -3*i**4 - 15*i**3 - 41*i**2 - 37*i - 12. Let q(p) = -2*f(p) - 3*w(p). Factor q(x).
(x + 1)**3*(x + 12)
Let x(v) = -9*v**2 - 42*v - 43. Let o(l) = -l**3 - 2*l**2 - 2*l + 1. Let u(b) = 2*o(b) - 2*x(b). Suppose u(t) = 0. Calculate t.
-2, 11
Let p(x) be the second derivative of x**5/80 + 41*x**4/48 + 19*x**3/3 + 37*x**2/2 + 698*x. Factor p(z).
(z + 2)**2*(z + 37)/4
Let d = 3361 - 1008299/300. Let r(i) be the third derivative of d*i**6 + 0 + 0*i + 0*i**3 + 1/75*i**5 - 2*i**2 + 1/60*i**4. What is g in r(g) = 0?
-1, 0
Let u(w) = 23*w**4 - 46*w**3 + 31*w**2 - 4*w. Suppose 1 - 5 = -2*d. Let v(h) = -h**4 - h**3 + h**2 - h. Let k(z) = d*v(z) + u(z). Factor k(o).
3*o*(o - 1)**2*(7*o - 2)
Let o(d) = 6*d**2 + 2*d + 1. Let w be o(-1). Suppose 0 = i - w*i + 28. Find c such that -3*c + 6*c**2 - 9*c + 1 + i - 2*c**2 = 0.
1, 2
Let p(c) = 6*c**5 + 19*c**4 - 30*c**3 + 9*c**2 + 2*c + 2. Let w(m) = -m**5 + 2*m**4 - 2*m**3 - m**2 - m - 1. Let z(j) = -2*p(j) - 4*w(j). Solve z(y) = 0 for y.
-7, 0, 1/4, 1
Let o = -113/2 - -57. Let i(r) be the second derivative of r**2 - 1/6*r**4 - 1/42*r**7 + 0 + 0*r**6 - o*r**3 + 4*r + 1/5*r**5. Factor i(p).
-(p - 1)**3*(p + 1)*(p + 2)
Let n be (-21)/(-147)*-14 - 17/(-7). Let 0*a + 6/7*a**3 + 0*a**2 + 0 - n*a**4 = 0. What is a?
0, 2
Factor 0 + 4/5*h**4 - 2/5*h + 0*h**3 + 2/5*h**5 - 4/5*h**2.
2*h*(h - 1)*(h + 1)**3/5
Let h(k) be the second derivative of k**7/8820 + k**6/840 + k**4/6 + 7*k. Let j(z) be the third derivative of h(z). Factor j(l).
2*l*(l + 3)/7
Let -19 + 2 - 2*y**2 - 19 - 22*y + 16 = 0. Calculate y.
-10, -1
Let z be (-1 - 1) + (-30 - -13 - -21). Factor 15/4*q - 5/4*q**3 + 5/2*q**z + 0.
-5*q*(q - 3)*(q + 1)/4
Let b be (-12 - 1524/(-126)) + (-61)/(-21). Determine y so that -2*y + b + 1/3*y**2 = 0.
3
Let w(v) = v**3 + 3*v**2 + 203*v + 832. Let k be w(-4). Factor -9/5*s**2 - 1/5*s**k - 2/5 - s**3 - 7/5*s.
-(s + 1)**3*(s + 2)/5
Let s(c) be the second derivative of c**7/2520 - c**6/240 - c**5/30 - 5*c**4/6 + 44*c. Let f(b) be the third derivative of s(b). Factor f(j).
(j - 4)*(j + 1)
Suppose -5*u + 22 = -6*z + 2*z, 2*u + 8 = -4*z. Suppose 8/5 + 8/5*i + 2/5*i**u = 0. What is i?
-2
Suppose 0 = 4*f - 7 - 1. Suppose -f*w - 6 = -4*w. Determine l so that w*l**3 - 38*l**2 + 38*l**2 - 3*l = 0.
-1, 0, 1
Factor -5800*a - a**3 + 48 + 5*a**3 + 40*a**2 + 5708*a.
4*(a - 1)**2*(a + 12)
Factor -1/6*a**2 + 25/2 - 37/3*a.
-(a - 1)*(a + 75)/6
Factor -34/3*j - 1/12*j**2 - 1156/3.
-(j + 68)**2/12
Let u(y) be the first derivative of 5*y**4/2 + 74*y**3/21 - 6*y**2/7 - 720. What is v in u(v) = 0?
-6/5, 0, 1/7
Let c(t) be the first derivative of t**5/30 + t**4/6 + t**3/6 - 101. Factor c(v).
v**2*(v + 1)*(v + 3)/6
Suppose 5*y - 25 = 2*x + 6*x, 4*y - 20 = x. Solve 1/2*w**2 - w + x = 0.
0, 2
Let z = 13 + -9. Let k(w) = 2*w - 6. Let b be k(z). Factor -2 - b*y + 3*y - 5*y - 2*y**2.
-2*(y + 1)**2
Suppose 0 = -h + 4*h - 24. Let y = h + -4. Suppose -2 + 9*j - j**2 - 2*j**2 - y = 0. What is j?
1, 2
Let g(n) be the second derivative of -n**6/6 + n**5 - 5*n**4/12 - 5*n**3 + n + 47. Factor g(l).
-5*l*(l - 3)*(l - 2)*(l + 1)
Suppose 3*u - 16 = -1. What is r in -24*r - r**5 + 4*r**5 + 18*r**3 - 12*r**2 + 0*r**u + 15*r**4 = 0?
-2, 0, 1
Let w(k) be the first derivative of 5*k**4/4 - 20*k**3/3 + 15*k**2/2 + 284. Factor w(q).
5*q*(q - 3)*(q - 1)
Suppose 3 - 2 = -5*q - g, -2 = 2*g. Let b(l) = -l**3 - 7*l**2 - 6*l + 4. Let w be b(-6). Let -1/5*o**3 + 1/5*o**2 - 1/5*o**w + 1/5*o + q = 0. What is o?
-1, 0, 1
Suppose -6*d + 23*d - 1870 = 0. Let j = d + -110. Let -1/6*u**2 + 0*u - 1/6*u**3 + j = 0. What is u?
-1, 0
Let t(p) be the third derivative of p**5/120 - 11*p**4/48 + 3*p**3/2 + 118*p**2. Let t(a) = 0. Calculate a.
2, 9
Suppose -2/9*h**2 + 32/9 + 4/3*h = 0. Calculate h.
-2, 8
Factor 0 + 1/3*n**2 + 2*n - 1/3*n**3.
-n*(n - 3)*(n + 2)/3
Suppose -2*a + 6 = a. Suppose a = 4*r - 14. Solve -8*w**3 + 3*w**4 + 8*w + 3*w**4 - 2*w**4 - r = 0.
-1, 1
Suppose 0 = -2*k + 141 - 137. Factor 2*w**3 - 411 + 423 - 24*w + 15*w**k - 5*w**3.
-3*(w - 2)**2*(w - 1)
Let c = -14746/21 - -4920/7. Factor 2/9*s**4 - 10/9*s**3 + 0 + 2/9*s**5 + 0*s + c*s**2.
2*s**2*(s - 1)**2*(s + 3)/9
Let y(d) be the third derivative of d**5/12 - 20*d**4/3 + 640*d**3/3 + 270*d**2. Let y(x) = 0. Calculate x.
16
Suppose 44 = 18*w - 28. Let k be 5/(-25) - -5*1. Let 3/5*i - 18/5*i**3 + 0*i**2 + 0 - k*i**w - 9/5*i**5 = 0. Calculate i.
-1, 0, 1/3
Factor -4*k**4 + 0*k + 0 + 28/5*k**3 - 12/5*k**2 + 4/5*k**5.
4*k**2*(k - 3)*(k - 1)**2/5
Let t = 115642/39 + -2964. Let y = 2/13 + t. Factor -y - 10/3*n + 14/3*n**2.
2*(n - 1)*(7*n + 2)/3
Let n(z) be the third derivative of z**7/630 - z**5/30 - z**4/24 + 16*z**2. Let k(y) be the second derivative of n(y). Let k(r) = 0. What is r?
-1, 1
Let p(u) be the second derivative of 11*u + 4/21*u**3 - 5/84*u**4 - 4*u**2 + 1/210*u**5 + 0. Let w(c) be the first derivative of p(c). Factor w(d).
2*(d - 4)*(d - 1)/7
Let u(k) be the second derivative of -k**7/16380 - k**6/2340 - k**5/780 - k**4 + 3*k. Let c(z) be the third derivative of u(z). Suppose c(v) = 0. Calculate v.
-1
Let k(o) be the second derivative of -2*o**7/21 + 76*o**6/15 - 424*o**5/5 + 560*o**4/3 + 17248*o**3/3 + 21952*o**2 + 2*o + 34. Factor k(r).
-4*(r - 14)**3*(r + 2)**2
Let y be (14 - (-663)/(-48))/(45/2). Let b(k) be the third derivative of 0*k**5 + 0*k**4 - y*k**6 - 1/210*k**7 - 5*k**2 + 0*k**3 + 0*k + 0. Factor b(p).
-p**3*(p + 1)
Let j be 2/(-11) - 497/(-2310). Let o(u) be the second derivative of -u + 0 - j*u**4 + 0*u**3 + 0*u**2. Find m, given that o(m) = 0.
0
Let k(h) be the second derivative of -h**5/80 + 19*h**4/48 - 3*h**3/4 + 114*h. Factor k(x).
-x*(x - 18)*(x - 1)/4
Factor 4184 - 5*q**4 - 1221 + 275*q**3 - 1342*q**2 + 1995 + 3105*q + 2332 - 2563*q**2.
-5*(q - 27)**2*(q - 2)*(q + 1)
Let m(v) be the second derivative of -v**6/45 + v**5/10 + 11*v**4/18 - v**3/3 - 10*v**2/3 - 77*v. Determine f, given that m(f) = 0.
-2, -1, 1, 5
Let o(f) be the third derivative of 5*f**8/1344 - f**7/21 + 7*f**6/32 - 11*f**5/24 + 5*f**4/12 - 18*f**2 - 1. Determine a, given that o(a) = 0.
0, 1, 2, 4
Let h(o) be the second derivative of o**7/63 - 4*o**6/45 + 2*o**5/15 + o**4/9 - 5*o**3/9 + 2*o**2/3 + o + 130. Let h(a) = 0. What is a?
-1, 1, 2
Let u(p) = 2*p. Let o be u(2). Let s(x) be the first derivative of 0*x - 25/2*x**6 - 6*x**5 + 0*x**3 + 0*x**2 - 3/4*x**o + 3. Factor s(y).
-3*y**3*(5*y + 1)**2
Let c = -1201 + 1201. Let k(q) be the second deriv