etermine q so that u(q) = 0.
-1, 1
Let f(s) = 3*s - 3. Let p be f(2). Factor -6 + 24*b**p + 18 - b**2 - 5*b**2 - b**4 - 21*b - 3*b**5 - 5*b**4.
-3*(b - 1)**3*(b + 1)*(b + 4)
Let b(z) be the third derivative of 0*z**3 - z**2 + 1/210*z**7 + 1/60*z**5 + 0*z + 0 + 0*z**4 - 1/60*z**6. Let b(k) = 0. What is k?
0, 1
Let o be (-3)/(-1*9)*42. Let w(t) be the first derivative of -2*t**4 - 5*t**4 - 4*t**5 + 8*t + 4*t**3 - 44 + o*t**2 + 43. Suppose w(a) = 0. Calculate a.
-1, -2/5, 1
Let i(y) = 0*y + 2*y + y + 2*y**2. Let x(w) = w**2. Let b(l) = i(l) - x(l). Factor b(s).
s*(s + 3)
Let q = 599/65 - -5/13. Let -18/5*a**3 + 4/5 - 26/5*a + q*a**2 = 0. Calculate a.
1/3, 2
Let v(z) be the second derivative of -z**5/100 - z**4/60 - z + 48. Find s such that v(s) = 0.
-1, 0
Find x such that 6 - 27*x + 3*x**2 - 29*x**4 - 4*x**2 + 8*x**4 + 27*x**3 + 16*x**2 = 0.
-1, 2/7, 1
Let n(h) be the second derivative of h**7/1260 + h**6/270 + h**5/180 - h**3 + h. Let s(y) be the second derivative of n(y). Factor s(r).
2*r*(r + 1)**2/3
Let x(h) be the first derivative of -3/32*h**4 + 3 + 0*h**3 + 1/40*h**5 + 1/4*h**2 + 0*h. Determine z so that x(z) = 0.
-1, 0, 2
Let k be (39/18 - 2) + 3/(-18). Let z(p) be the third derivative of k*p + 2/21*p**3 + 11/84*p**4 + 5*p**2 + 8/105*p**5 + 1/60*p**6 + 0. Solve z(m) = 0 for m.
-1, -2/7
Let f(l) be the second derivative of 4*l + 0*l**3 - 1/10*l**6 + 0 + 0*l**2 + 3/10*l**5 + 3/4*l**4. Let f(x) = 0. Calculate x.
-1, 0, 3
Let x(f) be the second derivative of -f**5/15 + f**4 - 6*f**3 - 5*f**2/2 + 12*f. Let s(u) be the first derivative of x(u). Determine y, given that s(y) = 0.
3
Solve 3/5*z**2 + 81/5 - 84/5*z = 0 for z.
1, 27
Let k(z) = 13*z + 3*z**2 - 2*z**2 + 7 - 4 + 0*z**2. Let u be k(-13). Factor -14*v - v - u*v**3 - 4*v**2 - 3*v**2 + 2*v**3 - 9.
-(v + 1)*(v + 3)**2
Let o be (-4)/14 - 3/(147/(-2464)). Suppose -10*x = 20 - o. Let 8/9 - 14/9*y**x - 2*y**2 + 8/3*y = 0. Calculate y.
-2, -2/7, 1
Let h = -12 - -6. Let p be ((-2)/h)/((-3)/(-27)). What is r in 8*r + 21*r**p + 8 + 37*r**2 + 52*r + 85*r**2 + 0 - 49*r**4 = 0?
-1, -2/7, 2
Let g(p) = 28*p**2 - 5*p**2 - p**4 + p**4 + 4*p**4 - 24*p**3. Let l(q) = 4*q**4 - 24*q**3 + 22*q**2. Let i(k) = -2*g(k) + 3*l(k). Factor i(m).
4*m**2*(m - 5)*(m - 1)
Suppose -106*y + 86 = 11*y - 148. Find l such that -5/12*l**y + 1/4*l**3 + 3/4*l**4 + 0 + 1/12*l = 0.
-1, 0, 1/3
Let m be ((-48)/80 + (-16)/(-35))*-14. Let -300*h + 3/5*h**4 - 12*h**3 + 375 + 90*h**m = 0. Calculate h.
5
Let l be (-1 + 0)*(-5)/(-30)*-2. Let m(y) be the first derivative of 1/8*y**4 + 0*y + l*y**3 + 3 + 1/4*y**2. What is u in m(u) = 0?
-1, 0
Let g(h) = 7*h**2 - 2*h - 1. Let j be g(1). Let v(z) be the second derivative of 1/3*z**3 - 1/12*z**j + 8*z - 1/2*z**2 + 0. Let v(a) = 0. Calculate a.
1
What is m in -116*m**2 + 64*m**2 - 3113*m**3 - 68*m - 7 + 2881*m**3 - 80*m**4 - 161*m**2 = 0?
-7/5, -1, -1/4
Solve 8*z**4 + 47/3*z**2 + 4/3 - 97/6*z**3 - 22/3*z - 3/2*z**5 = 0 for z.
2/3, 1, 2
Let a = -43 + 45. Suppose 100 - 40*p + 7*p**2 + 11*p**2 - 14*p**a = 0. Calculate p.
5
Let d = 280 - 277. Let h be (-690)/92*(-2)/d. Suppose 2/17*y**h - 2/17*y + 4/17*y**4 + 0 - 4/17*y**2 + 0*y**3 = 0. What is y?
-1, 0, 1
Let f be 4/(-11)*(-16)/1344. Let d(n) be the second derivative of 5*n - f*n**7 + 1/66*n**4 - 3/110*n**5 + 0*n**3 + 1/55*n**6 + 0*n**2 + 0. Factor d(h).
-2*h**2*(h - 1)**3/11
Suppose 2*j - v = -0*j + 5, 4*v = j - 6. Factor -5 - 8*l**2 + 3 - 19*l**3 + 10*l + 21*l**3 - j.
2*(l - 2)*(l - 1)**2
Let w(x) be the third derivative of x**6/30 - 2*x**5/15 - x**4/6 + 4*x**3/3 - 28*x**2. Determine k so that w(k) = 0.
-1, 1, 2
Let l be ((-3)/(-2))/(2/4). Suppose 3*d = 2*d + l. Solve -4/11*u - 2/11*u**d + 6/11*u**2 + 0 = 0.
0, 1, 2
Let m = 46 + -38. Factor 6*a**2 + m*a - 1 - 15 - 7*a**2.
-(a - 4)**2
Let j(x) be the first derivative of -x**6/120 + x**5/10 - 5*x**4/24 - 21*x**2/2 - 32. Let b(t) be the second derivative of j(t). Determine r so that b(r) = 0.
0, 1, 5
Let f(l) = -l**3 - 2*l**2 + 5*l - 3. Let t be f(-4). Let m be (-30)/25*(-15)/t. Factor 4*g**3 - g**3 + 24*g**2 - 4*g**2 + m*g**3.
5*g**2*(g + 4)
Let q(w) be the second derivative of -w**4/72 + 5*w**3/36 + 11*w**2/2 + 3*w - 6. Solve q(m) = 0.
-6, 11
Let x(t) = -4*t - 17. Let s be x(-5). Factor d + 4*d - 4*d**3 + d**2 - 11*d**s + 9*d**2.
-5*d*(d - 1)*(3*d + 1)
Let x(g) be the first derivative of 3*g**4/16 - 3*g**3/4 - 9*g**2/4 + 6*g + 168. Find q such that x(q) = 0.
-2, 1, 4
Let t(w) = w + 21. Let z be t(-20). Suppose -26 - z = -9*j. Suppose 2/11*a + 0 + 2/11*a**j - 4/11*a**2 = 0. What is a?
0, 1
Let f(a) be the second derivative of -a**7/3360 - a**6/240 - 3*a**5/160 + 35*a**4/12 + 20*a. Let q(v) be the third derivative of f(v). Solve q(o) = 0.
-3, -1
Let t = 19/3 - 5. Factor 2/3*v + 2/3*v**2 - t.
2*(v - 1)*(v + 2)/3
Let b be 224/104 + (-20)/130. Let -2/5 - 1/5*z + 1/5*z**b = 0. Calculate z.
-1, 2
Find h such that 234*h**2 + 59*h**2 - 51*h**2 + 210 + 2102 + 1496*h = 0.
-34/11
Let z = -169 - -321. Let o = -301/2 + z. Suppose -o - 3*w**2 - 9/2*w = 0. What is w?
-1, -1/2
Let u be 6/(-30) - 42/(-10). Let g be (-2 + 1)/((-1)/5). Let -l**2 - 8*l**3 - 9*l + l**u - 6*l + 6*l**g + 17*l = 0. What is l?
-1, -2/3, 0, 1/2, 1
Let t(u) = -2*u**2 + u + 5. Let n(o) = -5*o**2 + 3*o + 11. Let h(i) = -3*n(i) + 7*t(i). Let k be h(0). Factor -k*y**3 - 2*y**3 - 12*y**2 - 5*y + 0*y - 3*y.
-4*y*(y + 1)*(y + 2)
Let p(u) be the second derivative of -4*u**7/21 - 82*u**6/5 - 1858*u**5/5 + 1084*u**4/3 + 1240*u**3 - 1922*u**2 + 23*u + 1. What is f in p(f) = 0?
-31, -1, 1/2, 1
Let r(v) be the second derivative of 0*v**5 + 1/45*v**6 - 5/18*v**4 + 0 + 0*v**3 + 8*v + 4/3*v**2. Solve r(u) = 0.
-2, -1, 1, 2
Let w(z) be the third derivative of 0*z**3 - 14*z - 1/135*z**5 + 1/270*z**6 + z**2 + 0*z**4 + 0. Find q, given that w(q) = 0.
0, 1
Let x(k) be the second derivative of -1/15*k**5 - 13*k + 0*k**2 + 0 + 1/45*k**6 + 0*k**4 + 0*k**3. Factor x(v).
2*v**3*(v - 2)/3
Suppose 13 = v + 11. Let a(c) = 2*c - 2. Let k be a(v). Suppose 2*u**3 + 8/7 - 32/7*u + 10/7*u**k = 0. What is u?
-2, 2/7, 1
Let q be (-36)/10 + (-2444)/(-468) + (-2)/9. Factor 0*i**2 + 0*i + q*i**4 - 2/5*i**3 + 0.
i**3*(7*i - 2)/5
Let w(t) = t + 11. Suppose 3*b = -32 + 5. Let q be w(b). Suppose 2/7*o**q + 12/7*o + 18/7 = 0. What is o?
-3
Let 61*w + 216*w**4 - 30*w**5 - 203*w**2 - 27 - 18*w**5 - 59*w**2 - 27*w**3 - 227*w**2 - 286*w = 0. Calculate w.
-1, -1/4, 3
Let q(p) = -24*p**2 - 14*p + 34*p + p**2 + 3*p**3 + 5. Let c(k) = 3*k**3 - 24*k**2 + 21*k + 6. Let b(s) = -5*c(s) + 6*q(s). Let b(t) = 0. What is t?
0, 1, 5
Let a = 3059 - 3059. Let 0*s + 0 + a*s**2 - 5*s**3 - 5/2*s**4 = 0. Calculate s.
-2, 0
Factor 2/7*y**3 + 6/7*y**2 - 6/7 - 2/7*y.
2*(y - 1)*(y + 1)*(y + 3)/7
Determine y, given that -7*y + 4*y**2 + 4*y - 2*y**3 - 29 + 9*y + 29 = 0.
-1, 0, 3
Suppose -5*f + 2*a + 0*a = 9, -2*f = 2*a - 2. Let j be 8/2*-6*f/30. Find h, given that 1/5 + j*h + 6/5*h**2 + 4/5*h**3 + 1/5*h**4 = 0.
-1
Let j(g) = -g**2 - 18*g - 14. Let w be j(-17). Let t be (-10)/w*6/(-6). Suppose 0 - 2*n**2 - t*n**4 - 2/3*n + 6*n**3 = 0. What is n?
-1/5, 0, 1
Let h(k) = -10*k**2 + 66*k - 370. Let x(m) = 12*m - 247 + 66*m - 34*m - 7*m**2. Let a(j) = -5*h(j) + 7*x(j). Factor a(b).
(b - 11)**2
Factor -10/3*a**3 + 158/9*a**2 - 110/3*a + 200/9 + 2/9*a**4.
2*(a - 5)**2*(a - 4)*(a - 1)/9
Let h(j) be the second derivative of -2*j**6/15 + 3*j**5/10 + j**4 - 13*j**3/3 + 6*j**2 - 459*j - 2. Suppose h(w) = 0. What is w?
-2, 1, 3/2
Let d = 157793/18840 + -1/2355. Let x = -437/56 + d. Let -x*c + 0 - 2/7*c**2 = 0. Calculate c.
-2, 0
Let r(l) be the second derivative of -l**8/23520 + l**7/4410 + 13*l**4/12 + 5*l. Let t(k) be the third derivative of r(k). Factor t(m).
-2*m**2*(m - 2)/7
Let l = -4927/3 + 54209/33. Factor -2/11*a**3 + l*a**2 + 8/11*a - 16/11.
-2*(a - 2)**2*(a + 2)/11
Suppose c = -4 + 7. Let q be 3 + 190/(-35)*c/6. Find g such that -8/7*g**2 + q*g**3 + 10/7*g - 4/7 = 0.
1, 2
Determine n so that 9*n + 3/4*n**2 - 21 = 0.
-14, 2
Factor 3/4*a**2 + 45/2*a - 48.
3*(a - 2)*(a + 32)/4
Let k(r) be the first derivative of -r**7/525 - r**6/50 - 3*r**5/50 - r**4/15 - 13*r**2/2 - 14. Let h(l) be the second derivative of k(l). Factor h(t).
-2*t*(t + 1)**2*(t + 4)/5
Let h(u) be the third derivative of -u**5/150 + u**4/12 - 4*u**3