 13*u**2 + 6*u**2 = 0. Calculate u.
-2, 1
Suppose -1/5*y**2 - 10*y - 125 = 0. Calculate y.
-25
Factor -1/2*q**2 - 16*q + 0.
-q*(q + 32)/2
Let r(u) be the third derivative of -u**7/840 - u**6/160 + 11*u**5/240 + u**4/32 - 5*u**3/12 + 52*u**2. What is d in r(d) = 0?
-5, -1, 1, 2
Let m(z) be the third derivative of -z**6/2 + 109*z**5/15 - 4*z**4 - 56*z**3/3 + 105*z**2. Factor m(u).
-4*(u - 7)*(3*u - 2)*(5*u + 2)
Factor 0 - w**2 - w**4 + 0*w - 5/2*w**3.
-w**2*(w + 2)*(2*w + 1)/2
Let s = 26 - 29. Let f be (18/(-21))/(s/14). Factor o**5 + 6*o - 4*o**2 + 2*o + 3*o**5 + 4*o**f - 12*o**3.
4*o*(o - 1)**2*(o + 1)*(o + 2)
Let h(v) be the third derivative of v**6/60 - 7*v**5/15 + 2*v**4 + 433*v**2. Factor h(w).
2*w*(w - 12)*(w - 2)
Suppose 0 = 5*w - 112 + 92. Let c be w/(-24)*(-8)/(4/1). Factor c*z**2 + 1/3 + 2/3*z.
(z + 1)**2/3
Let a(n) be the second derivative of 0*n**2 + 1/36*n**4 - 43*n + 5/18*n**3 + 0. Factor a(r).
r*(r + 5)/3
Let l(n) be the second derivative of -2*n**6/15 - 2*n**5/5 + n**4/3 + 4*n**3/3 - 91*n. Factor l(a).
-4*a*(a - 1)*(a + 1)*(a + 2)
Factor -2*p**2 + 112 + 444*p + 6*p**2 - 4*p**2 - 16*p**2.
-4*(p - 28)*(4*p + 1)
Factor -1/4*t**5 + 3/4*t**4 - 1/4 - 1/2*t**2 - 1/2*t**3 + 3/4*t.
-(t - 1)**4*(t + 1)/4
Let z(j) be the first derivative of -j**6/15 - 2*j**5/5 - 5*j**4/6 - 2*j**3/3 - 15*j - 9. Let r(n) be the first derivative of z(n). Factor r(f).
-2*f*(f + 1)**2*(f + 2)
Let z(v) be the second derivative of -v**6/150 - 127*v**5/100 - 273*v**4/4 - 1323*v**3/10 + v + 62. Factor z(h).
-h*(h + 1)*(h + 63)**2/5
Let z = -10 + 14. Suppose 0*o + z*n = -2*o + 40, 2*o + 3*n - 35 = 0. Factor o*c**3 + 11*c**2 + 4*c**2 - 11*c**2.
2*c**2*(5*c + 2)
Solve 25/2*m - 10 - 5/2*m**2 = 0 for m.
1, 4
Let w(l) = -l**3 + 1. Let x be (-11)/9 + -1 - (-2)/9. Let a(q) = q**4 + 7*q**3 + 9*q**2 + 7*q. Let n(d) = x*a(d) - 4*w(d). Find y such that n(y) = 0.
-2, -1
Let r be (36/30)/((-3)/(-10)). Factor 0*p**4 - 9 - 2*p**2 - 3*p**3 - p**r + 11 + p**2 + 3*p.
-(p - 1)*(p + 1)**2*(p + 2)
Determine c so that -126*c**2 - 37*c**3 - 34*c**2 + 42*c**3 - 340*c = 0.
-2, 0, 34
Factor -3/5 + 1/5*l**3 - 1/5*l**2 - l.
(l - 3)*(l + 1)**2/5
Let t = 1631 - 1620. Let s(g) be the third derivative of 0*g - 1/420*g**5 + t*g**2 + 1/84*g**4 + 0*g**3 + 0. Let s(f) = 0. Calculate f.
0, 2
Suppose -125*m + 88 = -121*m. Let j be 4/m - (-72)/330. Factor 0 - j*v**3 + 0*v - 2/5*v**4 + 2/5*v**2 + 2/5*v**5.
2*v**2*(v - 1)**2*(v + 1)/5
Let f = -2/2699 - -5432/45883. Let f*w**2 - 10/17*w + 8/17 = 0. What is w?
1, 4
Let x(j) be the third derivative of 1/8*j**4 - 1/20*j**6 + 0 + 1/112*j**8 + 0*j**7 + 14*j**2 + 0*j + 0*j**5 + 0*j**3. Find i such that x(i) = 0.
-1, 0, 1
Solve -46/15*f - 2/3*f**2 + 4/3 = 0.
-5, 2/5
Let 6 - 56/9*x + 2/9*x**2 = 0. Calculate x.
1, 27
Let w(j) = -j**3 - 9*j**2 + 9*j - 4. Let m be w(-10). Suppose i + m = 2*i. Find d, given that -d + 5 - d - d**2 - i = 0.
-1
Let j(m) be the first derivative of m**3 - 171*m**2/2 + 168*m + 613. Factor j(d).
3*(d - 56)*(d - 1)
Let w(z) = -2*z**3 + 24*z**2 + 5. Let v be w(12). Let g(y) be the first derivative of 0*y - 1 + 0*y**2 + 1/2*y**3 + 3/10*y**v + 3/4*y**4. Solve g(n) = 0 for n.
-1, 0
Let x(p) = 7*p**3 - 243*p**2 + 4797*p - 31997. Let k(r) = -15*r**3 + 487*r**2 - 9593*r + 63993. Let t(w) = 3*k(w) + 7*x(w). Solve t(l) = 0.
20
Let v(o) be the third derivative of -o**10/6048 + o**9/1008 - o**8/448 + o**7/504 + 7*o**4/24 + 7*o**2. Let r(x) be the second derivative of v(x). Factor r(m).
-5*m**2*(m - 1)**3
Suppose f - 6 = -2*z + 5*z, 16 = -2*f - z. Let k be 10/(-35)*14/f. Factor 0*g + k*g**2 - 2/3*g**4 + 2/3*g**5 + 0 - 2/3*g**3.
2*g**2*(g - 1)**2*(g + 1)/3
Let l(y) be the first derivative of y**4/24 - y**3/12 - 16*y - 22. Let n(q) be the first derivative of l(q). What is u in n(u) = 0?
0, 1
Let b(q) be the third derivative of 0*q - 1/1260*q**7 + 1/120*q**5 - 10*q**2 + 1/18*q**3 - 5/144*q**4 + 0 + 1/720*q**6. Determine r so that b(r) = 0.
-2, 1
Let n(l) be the second derivative of l**5/4 - 5*l**4/2 - 125*l**3/6 - 45*l**2 + 2*l + 6. Determine t so that n(t) = 0.
-2, -1, 9
Let a(b) be the first derivative of -b**3/3 - b**2/2 - b - 35. Let c(u) = -20*u**2 + 40*u - 212. Let k(o) = -16*a(o) + c(o). Factor k(l).
-4*(l - 7)**2
Let s(y) be the first derivative of -y**6/30 - y**5/10 + 7*y**4/12 - 2*y**3/3 + 11*y - 37. Let m(r) be the first derivative of s(r). Let m(k) = 0. What is k?
-4, 0, 1
Let f(o) be the second derivative of 2*o**4/39 + 55*o**3/39 - 14*o**2/13 - 105*o. Find h, given that f(h) = 0.
-14, 1/4
Factor 6*t**3 + 0*t**3 - 43 - 14*t - 2*t**4 + 6*t**2 - 37 + 68.
-2*(t - 3)*(t - 2)*(t + 1)**2
Let x(p) be the second derivative of -p**4/20 - 17*p**3 - 4335*p**2/2 + 179*p. Solve x(g) = 0.
-85
Let o(d) be the first derivative of -d**6/6 - 3*d**5/4 - 5*d**4/4 - 5*d**3/6 - 9*d + 11. Let n(l) be the first derivative of o(l). Solve n(w) = 0.
-1, 0
Let s(v) = 49*v - 1270. Let z be s(26). Factor 1/2*q**z + 1/2*q**5 - 1/2*q**2 + 0*q + 0 - 1/2*q**3.
q**2*(q - 1)*(q + 1)**2/2
Let r(a) be the second derivative of -a**7/294 - 122*a**6/105 - 3721*a**5/35 + 9*a + 2. Factor r(x).
-x**3*(x + 122)**2/7
Suppose -95*r - 16 = -103*r. Let v(n) be the second derivative of -1/50*n**5 + 0*n**r + 0*n**3 - 1/15*n**4 + 0 + 4*n. Solve v(m) = 0.
-2, 0
Let k = -4/38859 + -98235532/194295. Let p = -504 - k. Find a, given that p*a + 16/15 + 2/15*a**3 + 4/5*a**2 = 0.
-2
Let j(l) be the second derivative of l**8/2016 - l**7/630 + l**6/720 + 21*l**2/2 - 6*l. Let x(n) be the first derivative of j(n). Solve x(c) = 0 for c.
0, 1
Let f = 10743 - 96683/9. Suppose 4/3 + 16/9*t + f*t**2 = 0. Calculate t.
-3, -1
Let q = 8 + -4. Let w be 13 - (-2 - (-96)/8). Let 0*v + 0*v**2 + 6/11*v**q - 2/11*v**w + 0 = 0. Calculate v.
0, 1/3
Suppose 0 = -28*m + 327 - 75. Let c be 1 - ((-57)/m - -6). Find n such that -10*n**2 - c*n + 0 = 0.
-2/15, 0
Let p(q) be the second derivative of -q**4/32 + q**3/4 - 9*q**2/16 - 283*q - 1. Find y, given that p(y) = 0.
1, 3
Let v be (-2)/(-4)*4/(-2) - -1. Suppose -4*f + 16 = -v*f. Factor -1/4*c**3 - 1/2 + 5/4*c - 3/4*c**2 + 1/4*c**f.
(c - 1)**3*(c + 2)/4
Let a(q) be the first derivative of 0*q**5 + 2/9*q**3 - 1/2*q**2 - 1/18*q**6 + 9 - 2/3*q + 1/3*q**4. Find t such that a(t) = 0.
-1, 1, 2
Let r(o) = -o**5 - o**2 - o + 1. Let f(s) = 7*s**5 - 85*s**4 + 465*s**3 - 873*s**2 + 492*s - 2. Let i(t) = f(t) + 2*r(t). Factor i(u).
5*u*(u - 7)**2*(u - 2)*(u - 1)
Determine t, given that -20/7*t**4 + 60/7*t**2 - 12/7 - 22/7*t - 6/7*t**3 = 0.
-2, -3/10, 1
Solve -1/5*g**2 - 14/5 - 3*g = 0.
-14, -1
Let v(q) be the first derivative of -q**8/336 + q**7/84 + q**6/18 - q**5/12 - 5*q**4/8 - 4*q**3/3 + 9. Let x(c) be the third derivative of v(c). Factor x(y).
-5*(y - 3)*(y - 1)*(y + 1)**2
Let x(t) = -t + 6. Let m be x(3). Suppose -3*z = m*z. Solve -1/5*p**3 + 2/5*p**2 - 1/5*p + z = 0 for p.
0, 1
Let n(z) be the second derivative of -z**5/50 + z**4/10 + 2*z**3/5 - 8*z**2/5 - 179*z. What is i in n(i) = 0?
-2, 1, 4
Suppose 3/4*q**2 + 7803/4 + 153/2*q = 0. Calculate q.
-51
Suppose -v - 171 = -4*v - 2*l, 4*l - 67 = -v. Factor -144 - 3*b**2 + 2*b**2 + 39*b + v*b - 70*b.
-(b - 12)**2
Let r(w) be the second derivative of w**6/360 - w**5/12 + 25*w**4/24 - 2*w**3 - 10*w. Let l(d) be the second derivative of r(d). Factor l(t).
(t - 5)**2
Let o(m) be the first derivative of -m**7/56 - 3*m**6/40 - 3*m**5/40 - 30*m - 4. Let h(f) be the first derivative of o(f). Suppose h(l) = 0. Calculate l.
-2, -1, 0
Let n be ((-46)/(-345))/(((-27)/(-360))/(3/2)). Factor 8/3*s - n - 8/3*s**3 + 2*s**2 + 2/3*s**4.
2*(s - 2)**2*(s - 1)*(s + 1)/3
Solve 2/5*a**2 - 4/5*a - 6/5 = 0.
-1, 3
Factor -54/7*d + 3/7*d**2 + 243/7.
3*(d - 9)**2/7
Factor 0 - 2/3*k**5 - 2/3*k**4 + 2/3*k**3 + 0*k + 2/3*k**2.
-2*k**2*(k - 1)*(k + 1)**2/3
Let b = -726 - -730. Factor 4/5*t**b + 4/5*t**5 + 0 + 0*t + 0*t**3 + 0*t**2.
4*t**4*(t + 1)/5
Let d(h) be the second derivative of h**7/28 - 11*h**6/10 + 423*h**5/40 - 55*h**4/2 + 25*h**3 - 30*h - 5. Factor d(b).
3*b*(b - 10)**2*(b - 1)**2/2
Let k be (-6)/(-9) - 39/(-9). Let w = k - -2. Factor 1 - 20*f - w*f + 19 + 7*f + 5*f**2.
5*(f - 2)**2
Suppose -3/2*b**4 - 21/4*b**3 + 0*b + 0 - 3*b**2 + 3/4*b**5 = 0. What is b?
-1, 0, 4
Suppose -6*h + 3*g = -2*h - 32, 4*h + 2*g = 12. Factor -22*z**2 - 23*z**h - z**4 + 7*z**4