z. Let m = -22 - z. Suppose -4*k**2 + m + 14*k**4 - 1 - 2*k**2 + 7*k - 17*k**3 + 0*k = 0. What is k?
-1/2, -2/7, 1
Let g be ((-10)/(-40))/((-7)/(-3)*48/224). Let -g - 7/10*z**2 - 1/10*z**3 - 11/10*z = 0. Calculate z.
-5, -1
Let r(y) be the second derivative of 3 + y + 1/40*y**6 - 1/8*y**4 + 0*y**2 + 0*y**3 + 3/80*y**5. Factor r(j).
3*j**2*(j - 1)*(j + 2)/4
Let h(x) be the first derivative of 0*x**2 - 1/10*x**6 + 1/4*x**5 - 1/6*x**4 + 17*x + 0*x**3 - 15. Let o(t) be the first derivative of h(t). Factor o(a).
-a**2*(a - 1)*(3*a - 2)
Let t(g) be the third derivative of g**8/224 - 9*g**7/140 + 21*g**6/80 + g**5/40 - 15*g**4/8 - 1917*g**2. Suppose t(j) = 0. Calculate j.
-1, 0, 2, 3, 5
Let d(a) be the third derivative of -1/735*a**7 + 0*a + 1/42*a**4 + 1 - 1/42*a**5 + 1/105*a**6 + 0*a**3 + 17*a**2. Factor d(q).
-2*q*(q - 2)*(q - 1)**2/7
Let m be 8/3*525/(-10). Let r be -1 + m/(-21) + -5. Factor 1/6*i**2 - 1/6 + r*i**3 - 2/3*i.
(i - 1)*(i + 1)*(4*i + 1)/6
Suppose 352 = 119*i + 114. Let d(s) be the third derivative of 1/4*s**4 + 3/2*s**3 + 1/60*s**5 - 26*s**i + 0 + 0*s. Factor d(n).
(n + 3)**2
Let z be (7/2)/((-8)/16) - -3. Let r be ((-2)/z)/(1/74). Find v such that 70*v**2 - r*v**2 + 5 - 38*v**2 = 0.
-1, 1
Factor 2510*t**2 + 2055 - 1280 - 5035*t + 1745 - 1156*t**3 + 1161*t**3.
5*(t - 1)**2*(t + 504)
Let h = -60/557 + 18364/5013. Suppose 10/3*g**2 - h*g + 8/9 = 0. Calculate g.
2/5, 2/3
Solve 412368/7*r - 552/7*r**4 - 10320/7*r**3 - 9/7*r**5 - 255552/7 - 36432/7*r**2 = 0 for r.
-22, 2/3, 4
Let x(o) be the second derivative of -o**7/21 + 2*o**6/3 + 39*o**5/10 + 2*o**4/3 - 52*o**3/3 + 699*o. Suppose x(w) = 0. What is w?
-2, 0, 1, 13
Let f(n) = n**2 - 239*n - 2487. Let u be f(-10). Let o(c) be the second derivative of 3/20*c**4 + 0 + 8/5*c**u + 3/2*c**2 + 16*c. Solve o(g) = 0 for g.
-5, -1/3
Let v(g) be the first derivative of 7*g**6/1080 + 2*g**5/45 + g**4/18 - 77*g**3/3 + 147. Let t(x) be the third derivative of v(x). Factor t(j).
(j + 2)*(7*j + 2)/3
Let h be 3/6 - (-6)/12. Let c be h - (3 + (-48)/20). Factor 6/5*q + c*q**2 + 0.
2*q*(q + 3)/5
Let f be (-2)/(50/(-75)*2/2). Let s(b) be the first derivative of 0*b + 1/3*b**f - 21 + 7/2*b**2. Determine n, given that s(n) = 0.
-7, 0
Let c(n) be the third derivative of 2*n**7/15 + 19*n**6/30 - 2*n**5/5 - 14*n**4/3 + 16*n**3/3 - n**2 - 92*n - 5. Factor c(b).
4*(b - 1)*(b + 2)**2*(7*b - 2)
Let d(o) = -8*o**2 + 10*o - 8. Let p(g) = 15*g**2 - 20*g + 15. Let m = 411 - 414. Let j(w) = m*p(w) - 5*d(w). Factor j(c).
-5*(c - 1)**2
Let j = 6296 - 1026245/163. Let a = j - -643/489. Factor a*d**2 + 16*d + 48.
4*(d + 6)**2/3
Let u(m) = -4*m - 16. Let x be u(-5). Solve 29*l**4 - 3*l**5 + 31*l**4 + 2*l**3 - 57*l**x + 4*l**3 = 0.
-1, 0, 2
Suppose -4*g + 46 = s, 10*s + 2*g - 48 = -6. Suppose -11/2*a**4 - 5/2*a + 13/2*a**s - 1 + 1/2*a**3 + 2*a**5 = 0. What is a?
-1, -1/4, 1, 2
Determine g so that -g**2 + 806/3*g - 536/3 = 0.
2/3, 268
Factor 59 + o**2 + 193*o + 97*o**2 + o**3 + 37 + 0*o**2.
(o + 1)**2*(o + 96)
Factor 9*b**5 + 6*b**5 + 328*b**4 + 13*b**5 + 10887*b - 24*b**5 - 3831*b + 6388*b**3 - 13776*b**2.
4*b*(b - 1)**2*(b + 42)**2
Let m = -276 + 255. Let k be 76637/231 + 9/m. Factor 40/3*d**2 - 416/3*d + 196/3*d**4 - 686/3*d**5 - 128/3 + k*d**3.
-2*(d - 1)**2*(7*d + 4)**3/3
Factor -112/3*t + 1/3*t**3 - 35/3*t**2 - 76/3.
(t - 38)*(t + 1)*(t + 2)/3
Suppose -3*b + 40*y = 35*y - 3074, -2*b - 4*y = -2020. Let z = -1015 + b. Factor -3/2*x**2 + 0 + 3/2*x**4 + 3/4*x + 0*x**z - 3/4*x**5.
-3*x*(x - 1)**3*(x + 1)/4
Let j = -2467 - -9877/4. Suppose 5*u + 8*u = 2*u. Suppose u + 39/4*b**2 + 39/4*b**3 + 9/4*b**4 + j*b = 0. What is b?
-3, -1, -1/3, 0
Let p(o) be the first derivative of -1/3*o**3 + 45 + 0*o + 7*o**2. Determine a, given that p(a) = 0.
0, 14
Let a(k) be the first derivative of -k**6/90 + 7*k**5/30 + 4*k**4/3 + k**3/3 + 21*k - 52. Let g(s) be the third derivative of a(s). Factor g(q).
-4*(q - 8)*(q + 1)
Let l(g) be the second derivative of -g**4/72 - 109*g**3/36 - 5*g + 13. Factor l(v).
-v*(v + 109)/6
Factor 0 - 2/5*p**4 + 6*p**2 + 108/5*p - 16/5*p**3.
-2*p*(p - 3)*(p + 2)*(p + 9)/5
Let u(y) be the second derivative of y**3/6 + 25*y**2/2 + 11*y. Let v be u(-17). Suppose -8*d**2 + d**3 + 8*d**4 - 4*d + 11*d**3 - v*d**3 = 0. Calculate d.
-1, -1/2, 0, 1
Let l be 245/50*525/245. Factor -1/2*s**3 - 11*s**2 - l*s + 0.
-s*(s + 1)*(s + 21)/2
Let j be -6 - ((-184)/30 - (-34 - (-7011)/205)). Find k, given that k**2 - k**3 + 0 - j*k + 1/3*k**4 = 0.
0, 1
Let p(x) = 6*x**4 + 68*x**3 - 200*x**2 + 222*x - 76. Let b(d) = d**4 + 2*d**2 + 2*d - 1. Let a(i) = -5*b(i) + p(i). Find z, given that a(z) = 0.
-71, 1
Factor -4*h**4 + 4/3*h**5 + 0 - 24*h**3 + 0*h + 0*h**2.
4*h**3*(h - 6)*(h + 3)/3
Let c(v) be the third derivative of v**7/840 - 23*v**6/480 - 199*v**5/240 + 743*v**4/96 - 87*v**3/4 - v**2 + 80*v. Suppose c(k) = 0. What is k?
-9, 1, 2, 29
Solve -245/2*b + 5/2*b**3 + 85 + 35*b**2 = 0 for b.
-17, 1, 2
Find p, given that 636/11*p + 432/11 - 62/11*p**3 + 158/11*p**2 - 14/11*p**4 + 2/11*p**5 = 0.
-3, -2, -1, 4, 9
Suppose 0 = -8*u + 43 + 317. Solve 98*i**4 + 26*i**2 - 160 - 16*i**5 - 196*i**3 + 2*i**4 - 4*i**2 - 11*i**2 + u*i**2 + 208*i = 0 for i.
-1, 5/4, 2
Let r(h) be the first derivative of -12*h**5/35 - 50*h**4/7 + 103*h**3/14 - 39*h**2/14 - 129*h - 138. Let p(z) be the first derivative of r(z). Factor p(l).
-3*(l + 13)*(4*l - 1)**2/7
Let -371/2*f**2 + 0 + 1/2*f**3 - 186*f = 0. Calculate f.
-1, 0, 372
Let p(t) be the first derivative of -t**5/5 + t**4/3 + 20*t**3/3 + 16*t**2 - 73*t - 158. Let r(m) be the first derivative of p(m). Factor r(u).
-4*(u - 4)*(u + 1)*(u + 2)
Let m be (-5699)/12628 + (0 + -1)*-1. Let w = 1/44 + m. Determine f, given that -4/7*f - 2/7*f**4 + w*f**3 + 0*f**2 + 2/7 = 0.
-1, 1
Factor 1126/3*f**2 - 160160/3*f - 2/3*f**3 + 156800.
-2*(f - 280)**2*(f - 3)/3
Let j(z) = -z**3 - 6*z**2 + 3561*z + 21366. Let i be j(-6). Let y + 4*y**3 + 1/3*y**5 + 2*y**4 + 10/3*y**2 + i = 0. What is y?
-3, -1, 0
Let m(b) be the second derivative of -b**6/600 + 13*b**5/200 - 9*b**3/2 + 56*b. Let u(w) be the second derivative of m(w). Factor u(c).
-3*c*(c - 13)/5
Let h(z) = -z**3 + 14*z**2 + 2*z + 3. Suppose 4*g - 8 = 4*o + 20, 5*g = o + 27. Let s(x) = x**3 - 14*x**2 + 3*x - 2. Let w(t) = o*h(t) - 3*s(t). Factor w(u).
-u*(u - 13)*(u - 1)
Let k(h) be the first derivative of -h**6/24 + 7*h**5/12 - 30*h**3 - 16*h**2 - 6*h - 126. Let g(y) be the second derivative of k(y). What is o in g(o) = 0?
-2, 3, 6
Let u(w) = w**3 - 11*w**2 + 8*w + 136. Let l be u(8). Let i(g) be the first derivative of 1/5*g**3 + 3/10*g**2 - 6/5*g + l. Factor i(n).
3*(n - 1)*(n + 2)/5
Factor -104/3*y - 100/3 - 4/3*y**2.
-4*(y + 1)*(y + 25)/3
Let i(h) be the second derivative of -1/3*h**4 + 3 + 2/3*h**3 + 2*h + 24*h**2. Factor i(r).
-4*(r - 4)*(r + 3)
Let j(d) be the third derivative of -d**5/210 + 13*d**4/12 + 94*d**3/7 + 12*d**2 - 1. Let j(i) = 0. Calculate i.
-3, 94
Let s = -172092 - -172096. Let 2*n**4 - s*n**3 - 1/3*n**5 + 0 - n + 10/3*n**2 = 0. What is n?
0, 1, 3
Let o = -90 + 88. Let m be (0/(-5 - (-24)/4))/o. Factor -15/2*g + m - 3/4*g**2.
-3*g*(g + 10)/4
Let 1089*y**2 + 180 - 2165*y**2 + 1078*y**2 + 38*y = 0. What is y?
-10, -9
Let g(h) be the second derivative of -h**4/3 + 962*h**3/3 + 1932*h**2 - 10492*h. Let g(l) = 0. Calculate l.
-2, 483
Factor 5/6*c**2 + 1505/6 - 125/3*c.
5*(c - 43)*(c - 7)/6
Let r(h) = -4*h**2 - 471*h + 17301. Let t(i) = -2*i**2 - 438*i + 17300. Let z(v) = -2*r(v) + 3*t(v). Factor z(y).
2*(y - 93)**2
Let s(y) be the first derivative of y**6/1260 + y**5/40 + 19*y**4/168 - y**3/3 - 7*y**2/2 + 28. Let x(c) be the third derivative of s(c). Solve x(o) = 0.
-19/2, -1
Suppose 3*k = 5*r + 30, -2*k + 0*k = 2*r - 4. Factor 20*a - 44*a + 7*a**2 + 12 + k*a**2 - 3*a**2.
3*(a - 2)*(3*a - 2)
Suppose -2/3*r**2 - 40/3*r - 38/3 = 0. Calculate r.
-19, -1
Let 0 - 379*w**4 + 169*w**4 + 71*w**3 + 16 + 59*w**3 + 156*w**4 + 24*w - 124*w**2 + 8*w**5 = 0. Calculate w.
-1/4, 1, 2
Let n(a) = a**5 + a**4 - a**3 - a**2 - a. Let l(j) = -3*j**5 - 42*j**4 + 111*j**3 + 42*j**2 - 102*j. Let o(f) = -l(f) - 6*n(f). Determine w so that o(w) = 0.
-1, 0, 1, 6
Let v be ((30186/81)/(-13))/(8/(-2)) + -7. Let -v*w**2 - 6*w - 54 = 0. Calculate w.
-18
Let s = 1320 + -1316. Let b(p) be th