 = 253/2 + z. Factor -w + x + 1/2*x**2.
(x - 1)*(x + 3)/2
Factor -25*g + 5*g**3 + 250 - 20*g**3 - 40*g**2 + 10*g**3.
-5*(g - 2)*(g + 5)**2
Let i = -3415 - -3417. Suppose -2/3*m**i - 8*m - 24 = 0. What is m?
-6
Let a = -1595 + 785. Let h be 4 + (a/(-24))/(-9). Factor 1/4*r**5 + 0*r**2 - 1/2*r**3 + 0 + h*r + 0*r**4.
r*(r - 1)**2*(r + 1)**2/4
Let h(x) be the first derivative of x**4/20 + 8*x**3/15 + 13*x**2/10 + 6*x/5 - 455. Suppose h(b) = 0. What is b?
-6, -1
Let i(w) = -6*w**4 - 4*w**3 + 6*w**2 - 4*w - 8. Let f(u) = -u**4 - u**3 - 2. Let x(y) = -4*f(y) + i(y). Factor x(g).
-2*g*(g - 1)**2*(g + 2)
Let a(t) be the second derivative of t**3/6 - 12*t**2 + 19*t. Let k be a(24). Determine q so that k*q**2 - 2/3 - 1/3*q**3 + q = 0.
-2, 1
Suppose 7*j = 4*j + 21. Let x be (-5)/(-4) + -8 + j. Find m, given that x*m**4 + 1/2*m**3 + 0 - 1/4*m**2 - 1/2*m = 0.
-2, -1, 0, 1
Let q(c) = c**4 + 61*c**3 - 51*c**2 - 55*c + 26. Let w(l) = -l**4 - l**3 + l**2 + 4. Let o(h) = q(h) + 6*w(h). Factor o(d).
-5*(d - 10)*(d - 1)**2*(d + 1)
Let m be 5 + 11/4*(-12)/(-9). Factor m*i + 169/3 + 1/3*i**2.
(i + 13)**2/3
Suppose -2*r - 116 = 4*q, 0*r + 60 = -2*q - 2*r. Let d be (118/q + 4)/((-3)/4). Factor d*v**3 + 6/7*v**2 + 6/7*v + 2/7.
2*(v + 1)**3/7
Suppose -5*u - g = -56, 2*u + 5*g - 1 = 3. Let -16 - 80*j**3 + 24*j - u*j**2 - 79*j**3 + 161*j**3 = 0. What is j?
2
Let u(p) = 9*p**2 - 90*p - 146. Let m(j) = -4*j**2 + 43*j + 72. Let w(r) = -7*m(r) - 3*u(r). Find t such that w(t) = 0.
-2, 33
Let v be (-7 - -12)*36/585. Factor 0 - v*z - 2*z**2.
-2*z*(13*z + 2)/13
Let c(m) = m**3 + m**2 + 11*m - 66. Let h be c(3). Determine p so that -4 + 74/3*p**h + 10/3*p + 136/3*p**2 - 40/3*p**4 = 0.
-1, -2/5, 1/4, 3
Suppose 4*f - 180 = -0*f. Let m be 4/(-3) - (-2 + (-6)/f). Determine q so that -2/5*q**4 + m*q**3 - 4/5*q + 0*q**2 + 2/5 = 0.
-1, 1
Suppose -34*b**3 - 10*b**4 + 917*b**5 + 40*b**2 + 60*b - b**3 - 912*b**5 = 0. Calculate b.
-2, -1, 0, 2, 3
Let -39*x**2 - 2*x + 2*x**3 - 38 - 18*x**2 + 95*x**2 = 0. Calculate x.
-19, -1, 1
Let z(y) = -2*y**2 + 7*y - 1. Let l be z(5). Let c = -4 - l. Factor -q - 9*q**3 - c*q**2 - 5 + 11 + 4*q.
-3*(q + 1)**2*(3*q - 2)
Let r(y) be the second derivative of y**5/150 - y**4/30 - 4*y**3/45 - 14*y + 1. Determine t so that r(t) = 0.
-1, 0, 4
Let h(w) = -2*w**2 + w + 1. Let l be h(1). Determine c so that l + 3*c + 5*c + 2*c**2 - 10 = 0.
-5, 1
Solve -17*k**3 - 36*k**4 - 9*k**4 - 48*k**2 + 6*k**2 + 7*k**2 + 5*k**5 + 92*k**3 = 0.
0, 1, 7
Let r(v) = 45*v**2 + 145*v - 23. Let t(w) be the first derivative of -11*w**3/3 - 18*w**2 + 6*w - 5. Let h(p) = 4*r(p) + 18*t(p). Factor h(i).
-2*(i + 4)*(9*i - 2)
Let a(y) be the first derivative of 5*y**6/6 + 2*y**5 - 6*y**4 + 16*y**3/3 + 15*y**2 - 6. Let q(w) be the second derivative of a(w). Factor q(f).
4*(f + 2)*(5*f - 2)**2
Suppose 5*f - 4*f + 6 = 0. Let j(d) = -6*d**3 - 25*d**2 + 19*d - 1. Let w(y) = 3*y**3 + 12*y**2 - 9*y. Let o(v) = f*j(v) - 13*w(v). Solve o(p) = 0 for p.
-2, -1, 1
Let m(k) = 218*k - 1521. Let c be m(7). Factor 0*j + 10/17*j**3 + 6/17*j**2 + 2/17*j**4 - 2/17*j**c + 0.
-2*j**2*(j - 3)*(j + 1)**2/17
Let r(s) be the third derivative of s**5/150 - 3*s**3/5 + s**2 + s. Factor r(o).
2*(o - 3)*(o + 3)/5
Let c = 0 - -15. Suppose 0*s = -5*s + 3*v + c, -4*s + v = -5. Suppose 0*y - 1/3*y**2 + 4/3*y**3 + s - y**4 = 0. Calculate y.
0, 1/3, 1
Factor 12 + 42*a**2 - 7 - 30*a**2 - 51*a + 7.
3*(a - 4)*(4*a - 1)
Let v(z) be the third derivative of -z**5/20 - 89*z**4/8 - 44*z**3 + 13*z**2. Find o such that v(o) = 0.
-88, -1
Let s(w) be the second derivative of 5/6*w**4 - 8/3*w**3 + 9*w + 4*w**2 - 1/10*w**5 + 0. Suppose s(l) = 0. What is l?
1, 2
Let z(s) be the third derivative of s**6/840 + s**5/20 + 7*s**4/8 + 17*s**3/6 + 18*s**2. Let l(n) be the first derivative of z(n). Determine w so that l(w) = 0.
-7
What is y in 1/6*y + 1/6*y**3 - y**2 + 1/3*y**4 + 1/3 = 0?
-2, -1/2, 1
Let a(l) = -5*l**3 + l**2 + 5*l - 1. Let t(m) = -m + m**3 - 12*m + 12*m. Let p(k) = a(k) + 6*t(k). Determine b, given that p(b) = 0.
-1, 1
Let l(i) be the second derivative of -4/21*i**4 + 3/70*i**5 + 6/7*i**2 - 44*i - 5/21*i**3 + 0. Factor l(j).
2*(j - 3)*(j + 1)*(3*j - 2)/7
Let i(b) be the first derivative of b**4/6 - 10*b**3/9 + 8*b**2/3 - 8*b/3 - 61. Factor i(c).
2*(c - 2)**2*(c - 1)/3
Suppose -8 = -0*s - s. Factor -5*a + s*a**3 + 3*a**4 + 7*a**2 - 6*a + 13*a.
a*(a + 1)**2*(3*a + 2)
Factor 8*y - 2*y + 1354*y**2 + 8 - 1356*y**2.
-2*(y - 4)*(y + 1)
Let c(v) be the third derivative of -v**8/2688 - v**7/1680 + v**6/480 + 6*v**2 + 18. What is x in c(x) = 0?
-2, 0, 1
Suppose 5*s - 3*z = 2*z + 25, 0 = -4*s - 2*z - 10. Suppose 11 = i - 3*l, s*i - 4*i + 5*l + 23 = 0. Factor 6*d**2 + i*d - 4*d**2 + 2*d**4 + 4*d**3 - 2*d.
2*d**2*(d + 1)**2
Let a be (4/(-18))/(2/(-18)). Suppose 2 = -z + 5. Determine w, given that z*w**2 + 0*w + 4*w + 2 - 11*w**a - 4*w**3 + 6 = 0.
-2, -1, 1
Let k = -150 + 282. What is c in 0*c**2 - 3*c**2 - 276 + k - 18*c + 120 = 0?
-4, -2
Let q(s) be the second derivative of 10/3*s**3 - 8/3*s**4 - 3/5*s**5 + 12*s**2 + 0 + 13*s. Determine r so that q(r) = 0.
-3, -2/3, 1
Let v(s) be the first derivative of -32/9*s**2 + 19/9*s**4 + 2/9*s**5 + 128/27*s**3 + 26 + 0*s. Factor v(r).
2*r*(r + 4)**2*(5*r - 2)/9
Let s be (-1)/(-6) + (-65)/(-1170). Let v be 10*(-1)/(-9)*1. Suppose v*o + 4/9 + s*o**3 + 8/9*o**2 = 0. Calculate o.
-2, -1
Let z = 34/181 - -2002/905. Let 483/5*l**2 + z - 132/5*l - 588/5*l**3 = 0. Calculate l.
1/4, 2/7
Suppose -5*o = 4*t - 2*o - 20, t - 2*o = -6. Let c(n) be the second derivative of 7/48*n**3 + 1/4*n**t + 0 - 1/160*n**5 - n + 1/48*n**4. Factor c(y).
-(y - 4)*(y + 1)**2/8
Let y be ((-312)/(-40) + -7)/(2/10). Let z be (-9 + 5 + y)/(-2). Factor -2/7*f - 3/7*f**2 + 1/7*f**4 + 0*f**3 + z.
f*(f - 2)*(f + 1)**2/7
Let q be (11/(8470/(-11)))/((-6)/7). Let b(s) be the third derivative of -1/24*s**4 + 0 + q*s**5 + 0*s - 1/3*s**3 + 6*s**2. Factor b(h).
(h - 2)*(h + 1)
Let a(d) = d**3 + 9*d**2 + 8*d + 3. Let t(k) = -k**3 + 10*k**2 - k + 2. Let q be t(10). Let l be a(q). Factor 0 - 3/4*u**2 + 0*u + 3/4*u**l.
3*u**2*(u - 1)/4
Let x = 32 - 30. Suppose 3*b**2 - 2*b - 6*b**2 + x*b + 9*b = 0. What is b?
0, 3
Let o(l) be the third derivative of -l**8/1848 + l**7/165 - 3*l**6/110 + l**5/15 - 13*l**4/132 + l**3/11 - 4*l**2 - 5*l. Factor o(m).
-2*(m - 3)*(m - 1)**4/11
Factor j**3 - 10*j + 2 - 2*j**2 + j**3 + 16*j - 8*j.
2*(j - 1)**2*(j + 1)
Let u be 1472/(-36)*198/(-264). Solve u*t - 16/3 + 88/3*t**3 - 14/3*t**4 - 50*t**2 = 0 for t.
2/7, 1, 4
Suppose -2*k - 87 = 5*f + 1, 5*k = 5*f + 95. Let v be ((-5)/(-40)*-2)/(f/8). Determine r, given that v*r**5 + 1/3*r**4 + 0*r**3 + 0*r + 0 - 4/9*r**2 = 0.
-2, 0, 1
Let c be ((-1099)/42)/((-1)/(-3)). Let l = 79 + c. What is t in 0 + 0*t + 1/2*t**3 + l*t**2 = 0?
-1, 0
Let x(h) be the third derivative of h**7/10 - 3*h**6/4 + 43*h**5/20 - 3*h**4 + 2*h**3 - 58*h**2. Factor x(l).
3*(l - 2)*(l - 1)**2*(7*l - 2)
Let k be (-15)/(-3) + (-1)/1. Suppose 0 = -2*y + 7*y + 5*r, k*r = -2*y - 6. Factor 13*h**y - 5*h**3 - 7*h**3 - h.
h*(h - 1)*(h + 1)
Let c = 243 + -241. Let v(f) be the first derivative of 0*f**5 + 0*f + 1/12*f**6 + 2 + 0*f**c + 1/3*f**3 - 3/8*f**4. Factor v(j).
j**2*(j - 1)**2*(j + 2)/2
Let v(n) be the second derivative of -1/5*n**4 - 2/5*n**3 - 2*n - 1/25*n**5 - 2/5*n**2 + 0. Factor v(u).
-4*(u + 1)**3/5
Let j(n) be the first derivative of 2*n**3/21 - 17*n**2/7 + 12*n + 155. Solve j(i) = 0 for i.
3, 14
Let k = 0 - 21. Let t = k + 26. What is c in c**4 + 4*c**2 + 28*c - t*c**4 - 28*c = 0?
-1, 0, 1
Let -4*j - 4/5*j**4 + 0 + 58/5*j**2 - 34/5*j**3 = 0. Calculate j.
-10, 0, 1/2, 1
Let g(f) be the second derivative of f**4/108 + 53*f**3/27 + 2809*f**2/18 + 306*f. Factor g(v).
(v + 53)**2/9
Let q(h) be the second derivative of h**6/6 - 3*h**5/2 + 5*h**4/3 + 5*h**3 - 25*h**2/2 - 24*h - 4. Factor q(y).
5*(y - 5)*(y - 1)**2*(y + 1)
Let h(j) be the third derivative of 1/11*j**3 + 0 - 1/66*j**4 + 0*j - 1/330*j**5 + 2*j**2. Factor h(r).
-2*(r - 1)*(r + 3)/11
Let r(a) be the first derivative of -4*a**3/3 - 650*a**2 + 1131. Factor r(d).
-4*d*(d + 325)
Let h(b) be the first derivative of 12/7*b - 1/7*b**4 + 9 - 4/7*b**3 + 2/7*b**2. Solve h(a) = 0.
-3, -1, 1
Let r(d) = -18*d**2 + 187*d - 1152. Let u(p) = -8*p**2 + 94*p - 576. 