(k) = 0.
-3, 1, 2
Factor 3360*w - 159/2*w**3 - 3119*w**2 - 1/2*w**4 + 6400.
-(w - 2)*(w + 1)*(w + 80)**2/2
Suppose 5*z + 19 = c, -20 = 4*c - 3*z + 7*z. Let a be ((-2)/2)/(c/2*5). Suppose -1/5*g**4 - 1/5*g**2 - 3/5*g**3 + 3/5*g + a = 0. What is g?
-2, -1, 1
Let x be (-7 - 1390/(-150)) + 100/(-250)*(-10)/(-6). Let 0 - 1/5*r**5 + 0*r**2 + x*r**3 + 0*r - 7/5*r**4 = 0. Calculate r.
-8, 0, 1
Let q be 12/(-342)*(-2)/4*3*4. Factor q*s**2 + 0*s + 10/19*s**3 + 0 - 6/19*s**4.
-2*s**2*(s - 2)*(3*s + 1)/19
Suppose -5*w = -5*y - 5, 1 = 2*y + 4*w - 15. Let -2*d**2 + 20*d + 42 + 14 + 2*d**3 - 28*d - 12*d**y = 0. Calculate d.
-2, 2, 7
Let m(r) be the first derivative of 729/4*r - 31 + 9/4*r**3 - 243/8*r**2 - 1/16*r**4. Let m(z) = 0. What is z?
9
Let q(p) be the first derivative of 2*p**5/35 - 24*p**4/7 + 250*p**3/7 - 956*p**2/7 + 1560*p/7 + 5999. What is r in q(r) = 0?
2, 5, 39
Let r(g) be the third derivative of g**5/15 + 2009*g**4/24 + 251*g**3/3 + 8347*g**2. Factor r(b).
(b + 502)*(4*b + 1)
Let v(n) be the third derivative of -n**8/784 + 33*n**7/490 - 61*n**6/280 - 33*n**5/140 + 31*n**4/28 - n**2 + 2012*n + 2. Let v(m) = 0. Calculate m.
-1, 0, 1, 2, 31
Factor -1016/7 - 2028/7*d - 144*d**2 + 4/7*d**3.
4*(d - 254)*(d + 1)**2/7
Determine z so that -2/17*z**4 + 880/17*z**2 + 0 + 878/17*z**3 + 0*z = 0.
-1, 0, 440
Let l = -42/8285 + 16696/24855. Factor 1/3*t**2 + l*t - 1/3*t**3 + 0.
-t*(t - 2)*(t + 1)/3
Let z(a) be the third derivative of -1/420*a**7 + 2 + 1/720*a**6 + 1/9*a**3 + 0*a + 11/360*a**5 - 67*a**2 + 1/12*a**4 - 1/2016*a**8. Solve z(m) = 0 for m.
-2, -1, 2
Let s(h) = -h**3 - 26*h**2 - 54*h + 43. Let y be s(-24). Let o = 189 - y. Let -14/3*m**o - 2/3*m**4 - 2*m + 0 - 10/3*m**3 = 0. Calculate m.
-3, -1, 0
Let n be (13 - (-4 - -8)) + -17. Let b be n - (-8 - (-4 + 7)). Let 2/3*v - 1/6*v**b + 0 - 1/2*v**2 = 0. Calculate v.
-4, 0, 1
Determine a so that -118/15*a**2 - 2/15*a**4 + 46/15*a**3 + 8 - 46/15*a = 0.
-1, 1, 3, 20
Let j be (25398/(-2448) - 20/(-2))*24/(-27). Solve 0 + 2/3*f**2 + 0*f - j*f**3 = 0.
0, 2
Factor 3/4*h**2 + 125/4*h - 21/2.
(h + 42)*(3*h - 1)/4
Suppose -42*m = -7 + 133. Let l be (m - 0)*(-1)/1. Suppose -1/5*t + 1/5*t**l - 2/5*t**2 + 2/5 = 0. What is t?
-1, 1, 2
Let q(v) = 122*v**3 + 1804*v**2 + 311*v - 246. Let p(k) = -121*k**3 - 1805*k**2 - 312*k + 244. Let h(x) = -3*p(x) - 2*q(x). Factor h(l).
(l + 15)*(7*l - 2)*(17*l + 8)
Let t(v) be the first derivative of 9/4*v**2 + 42 + 4/5*v**5 + 11/4*v**4 + 4*v**3 + 1/12*v**6 + 0*v. Factor t(d).
d*(d + 1)**2*(d + 3)**2/2
Let f be 752/2632*14/100. Let v(a) be the third derivative of 0 - 6/25*a**5 - f*a**6 + 0*a - 8/5*a**3 - 11*a**2 - 4/5*a**4 - 1/350*a**7. Factor v(h).
-3*(h + 2)**4/5
Let i(z) be the second derivative of 2*z**7/21 - 2*z**6/5 - 42*z**5/5 - 100*z**4/3 - 48*z**3 - 367*z + 1. Suppose i(w) = 0. What is w?
-2, 0, 9
Factor 222*p**4 - 459*p**3 - 72*p**4 + 12325*p**5 - 12324*p**5.
p**3*(p - 3)*(p + 153)
Determine c, given that -20*c + 2/7*c**2 + 0 = 0.
0, 70
Let o be (-3)/((-18)/25) - 5/30. Let 14*u**4 - 11*u**o + 0*u**5 + 6*u + u**5 - 12*u**3 + 9*u**3 - 7*u**2 = 0. What is u?
-3, -2, 0, 1
Let v be (103695/(-5575))/((-18)/20). Factor 8 + 14/3*n**2 - v*n.
2*(n - 4)*(7*n - 3)/3
Suppose 511*j + 848 - 3758 = -459*j. Let 33/4*m - 13/4*m**2 - 1/4*m**j + 45/4 = 0. Calculate m.
-15, -1, 3
Let a(b) = -388*b**2 + 2364*b - 2360. Let c(q) = 516*q**2 - 2364*q + 2360. Let v(g) = -4*a(g) - 3*c(g). What is r in v(r) = 0?
1, 590
Factor -61618*j - 780 + 123340*j + 3*j**2 - 61674*j.
3*(j - 10)*(j + 26)
Let b(w) be the second derivative of w**5/70 + 5*w**4/28 - 6*w**3/7 + 37*w**2 - 34*w. Let n(m) be the first derivative of b(m). Let n(i) = 0. What is i?
-6, 1
Let t be ((36/39)/((-70)/(-455)))/2. Suppose 8/5*y**t - 8/5 + 2/5*y**2 - 32/5*y = 0. What is y?
-2, -1/4, 2
Let w(u) be the first derivative of -2*u**3/9 - 1450*u**2/3 - 1051250*u/3 - 2945. Suppose w(b) = 0. Calculate b.
-725
Let q(j) be the second derivative of -j**4/90 - 23*j**3/3 + 346*j**2/15 + 2*j - 2. Factor q(h).
-2*(h - 1)*(h + 346)/15
Let o(i) be the first derivative of -2*i**3/9 + 7*i**2 - 40*i/3 - 1668. What is f in o(f) = 0?
1, 20
Let f(n) be the first derivative of -5*n**6 + 86*n**5/5 - 9*n**4/2 - 94*n**3/3 + 24*n**2 + 8*n + 521. Solve f(t) = 0.
-1, -2/15, 1, 2
Suppose -4*w = -3*w - 94. Let d = -92 + w. Factor -20*s**d + 4 - 3 - 3*s + 1 + 21*s**2.
(s - 2)*(s - 1)
Let s(h) be the first derivative of 0*h + 1/40*h**5 + 35/24*h**3 + 125 + 49/16*h**2 - 13/32*h**4. Factor s(k).
k*(k - 7)**2*(k + 1)/8
Suppose 3*z = -4*g + 11118, 2*g - 5*g = -4*z + 14849. Let v be 9964/z - 4/10. Find m, given that -v + 4/7*m**2 - 2/7*m**3 + 8/7*m = 0.
-2, 2
Let r(q) be the second derivative of -q**4/3 + 280*q**3/3 + 568*q**2 - 1486*q. Factor r(d).
-4*(d - 142)*(d + 2)
Let n(f) = -16*f**5 - 62*f**4 + 273*f**3 + 7. Let b(y) = -9*y**5 - 31*y**4 + 136*y**3 + 4. Let r(a) = 7*b(a) - 4*n(a). Factor r(m).
m**3*(m - 4)*(m + 35)
Let n be (2/(-20))/(1/2634*-3). Let t = n - 87. Factor -t*w**2 - 16/5 + 4*w.
-4*(w - 4)*(w - 1)/5
Suppose -28 = -4*z + 2*v, 5*z - 35 = 2683*v - 2686*v. Suppose 3*u**3 - 1/2*u**5 - 3/2 + 1/2*u**4 - z*u**2 + 11/2*u = 0. What is u?
-3, 1
Let w(h) be the first derivative of 2*h**5/35 + 3*h**4/14 - 6*h**3/7 + 5*h**2/7 + 1350. Suppose w(k) = 0. Calculate k.
-5, 0, 1
Let g(f) = -28*f**2 - 392*f - 1192. Let n(l) = 34*l**2 + 388*l + 1193. Let c(j) = 5*g(j) + 4*n(j). Find i, given that c(i) = 0.
-99, -3
Let d(j) be the first derivative of -5*j**6/6 + 207*j**5 - 1025*j**4/2 + 3265. Factor d(w).
-5*w**3*(w - 205)*(w - 2)
Factor 128/5*f**2 + 2/5*f**4 + 0 - 32/5*f**3 + 0*f.
2*f**2*(f - 8)**2/5
Let u = 1694371/11 - 153929. Solve 96/11*n**3 - 2/11*n**4 - 1150/11*n**2 - 96/11*n + u = 0 for n.
-1, 1, 24
Let t = -1417 + 1162. Let p = t + 271. Factor -p*s**3 + 4/7 + 68/7*s**4 - 32/7*s + 88/7*s**2 - 16/7*s**5.
-4*(s - 1)**4*(4*s - 1)/7
Let p(u) be the second derivative of 8/3*u**3 - 2 + 19*u - 7*u**2 - 1/6*u**4. Suppose p(h) = 0. What is h?
1, 7
Let y(i) be the second derivative of i**4/15 + 676*i**3/15 + 57122*i**2/5 + 241*i + 4. Suppose y(t) = 0. What is t?
-169
Let -3120 - 5*u**5 + 0*u**5 - 980*u + 4240*u**2 - 1880*u**2 + 230*u**4 + 1515*u**3 = 0. Calculate u.
-3, -2, 1, 52
Let h(d) be the first derivative of 4*d**5/5 + 23*d**4/3 + 208*d**3/9 + 56*d**2/3 - 64*d/3 + 884. Let h(j) = 0. What is j?
-4, -2, 1/3
Solve 5*s + 6*s**3 - s**3 - 370 + 0*s**3 + 370*s**2 + 5*s - 15*s = 0.
-74, -1, 1
Let j(n) = 12*n**2 - 49*n - 53. Let d be j(5). Factor 2/3 + l**3 - l - 1/3*l**4 - 1/3*l**d.
-(l - 2)*(l - 1)**2*(l + 1)/3
Suppose 0 = -45*a - 110101 + 17131. Let w = a - -2069. Factor 3/2*t**3 + w*t**2 + 6 - 21/2*t.
3*(t - 1)**2*(t + 4)/2
Let j(d) = -2*d**2 - 12*d + 51. Let w be j(-9). Let t(a) = -a**2 - 11*a + 8. Let l(u) = u**2 + 9*u - 6. Let g(f) = w*t(f) - 4*l(f). Let g(s) = 0. Calculate s.
-3, 0
Suppose -17*r = -4*r + 65. Let i be 18/(-10)*r*(32 + 0). Factor -179*n**3 + 29*n**3 + i*n + 45 + 2*n**5 + 45*n**4 + 230*n**2 - 7*n**5 - 453*n.
-5*(n - 3)**2*(n - 1)**3
Let 417*p + 140 - 3*p**3 - 1698327*p**2 + 1698123*p**2 - 350 = 0. Calculate p.
-70, 1
Suppose -3*m + 410 = 2*q + 394, 2*q - 10 = 0. Let p(g) be the first derivative of -32/3*g**3 + 29 - 4/5*g**5 + 9*g**4 + 0*g**m + 0*g. Let p(u) = 0. What is u?
0, 1, 8
Let u = -243595 - -243598. Factor 2/3*r**2 - 2/3*r**4 + 0 - 1/6*r**u + 1/6*r.
-r*(r - 1)*(r + 1)*(4*r + 1)/6
Let s(l) be the third derivative of -l**5/390 + 17*l**4/78 + 152*l**3/39 - 2*l**2 + 22. Factor s(g).
-2*(g - 38)*(g + 4)/13
Let z(f) be the second derivative of 1/42*f**7 + 0*f**2 - 1/30*f**6 - 1/4*f**4 + 23*f + 0 + 0*f**3 - 1/4*f**5. Find w, given that z(w) = 0.
-1, 0, 3
Suppose 196 + 16*w**2 - 2*w**3 - 2*w**3 - 6*w**2 + 40653*w - 40793*w - 62*w**2 = 0. Calculate w.
-7, 1
Solve 7542*t - t**3 + 5*t**3 - 536*t**2 - 89246 + 7434*t + 296606 = 0 for t.
-10, 72
Let k be 47810/(-71032)*24/(-7). Factor 18/13*v**2 - k*v - 50/13 - 2/13*v**3.
-2*(v - 5)**2*(v + 1)/13
Let f(s) = -21*s**2 + 39*s - 21. Let l(m) = 1 - m + 0*m - 751*m**3 + 750*m**3. Let t(z) = -f(z) + 3*l(z). Factor t(q).
-3*(q - 4)*(q - 2)*(q - 1)
Let y(o) be the first derivative of 1500/11*o - 1/33*o**6 + 4/11*o**5 - 3/11*o**4 - 4 + 175/11*o**2 - 320/33*o**3. Suppose y(n) = 0. What is n?
-3, -2, 5
Let g(p) be the thir