- (-2 - (-5 - y)). Factor -4*d**5 + c*d - 40*d - 18*d**4 + 10*d**4 - 4*d**3.
-4*d**3*(d + 1)**2
Let y(z) be the second derivative of -2*z**7/21 + 13*z**5/5 + 4*z**4 - 7384*z. Let y(r) = 0. Calculate r.
-3, -1, 0, 4
Let s(j) be the first derivative of -j**4/2 + 23*j**3 - 50*j**2 + 35*j - 194. Let x be s(33). Factor 4/5*d**3 + 1/5*d**4 + 6/5*d**x + 4/5*d + 1/5.
(d + 1)**4/5
Factor -17*c**3 - 3*c**4 - 27*c**3 - 163*c**2 - 390*c - 30*c**3 - 41*c**2 + 32*c**3 - 225.
-3*(c + 1)*(c + 3)*(c + 5)**2
Let r(a) = 5*a - 58. Let w be r(14). Suppose w = 28*g + 12. Solve g*h + 2/15*h**3 + 0 - 4/15*h**2 + 2/15*h**4 = 0 for h.
-2, 0, 1
Determine m so that -2*m**3 + 124/5*m**2 + 144/5 - 408/5*m = 0.
2/5, 6
Let y(a) = -2*a**3 - 16*a**2 - 22*a - 139. Let h be y(-41). Factor h + j**5 - 111709 + j**4.
j**4*(j + 1)
Suppose 2*i - 342 = -3*k + 194, 4*k = 0. Let -92*h**2 - 1 + 16*h + i*h**3 - 174*h**3 - 18*h**4 + 1 = 0. Calculate h.
0, 2/9, 1, 4
Factor -164/13*f**3 + 0 + 0*f - 2/13*f**4 - 3362/13*f**2.
-2*f**2*(f + 41)**2/13
Let q(b) be the first derivative of -1/4*b**3 + 9/4*b**2 - 3/8*b**4 + 3/40*b**5 + 165 + 27/8*b. Factor q(l).
3*(l - 3)**2*(l + 1)**2/8
Solve -497*j**3 - 46 - 478*j**3 + 1449*j**3 - 554*j**3 + 3555*j - 7080*j**2 - 399 = 0.
-89, 1/4
Suppose 3593 = 15399*r - 15279*r - 5527. Factor -r*w - 22 + 7/2*w**2.
(w - 22)*(7*w + 2)/2
Let w(v) be the third derivative of v**8/1512 + 17*v**7/315 + 221*v**6/270 + 224*v**5/45 + 328*v**4/27 - 20*v**2 + 23. Determine q so that w(q) = 0.
-41, -4, -2, 0
Let m = -4499/270 + 167/10. Let t(a) be the first derivative of -2/45*a**5 + 4/27*a**3 - m*a**6 - 2/9*a + 1/9*a**4 - 1/9*a**2 - 7. Factor t(s).
-2*(s - 1)**2*(s + 1)**3/9
Let j(u) be the first derivative of -9*u**4/20 + 20*u**3 - 194*u**2/5 + 128*u/5 - 1453. Factor j(o).
-(o - 32)*(3*o - 2)**2/5
Let v(o) = 2*o**3 + 8*o**2 - o - 4. Let r(h) = -8*h**3 - 1162*h**2 - 1119*h + 20. Let z(x) = -2*r(x) - 10*v(x). Determine q so that z(q) = 0.
-1, 0, 562
Let r(w) be the second derivative of w**5/20 - 19*w**4/12 + 55*w**3/6 + 363*w**2/2 + 1909*w. Factor r(g).
(g - 11)**2*(g + 3)
Let j(r) = -r - 5. Let y be j(-2). Let c(u) = u**3 + 4*u**2 + 2*u - 1. Let b be c(y). Factor t**5 - 2*t**2 - 6*t**2 - 3*t**5 + 4*t + 8*t**4 - b*t**5.
-4*t*(t - 1)**3*(t + 1)
Let u = -142 - -144. Suppose -q + 4 = 2*p, -15 + 51 = 4*q - u*p. Factor -5*r**4 - 4*r**4 + q*r**3 + 11*r**4 + 6*r**2.
2*r**2*(r + 1)*(r + 3)
Let x(t) be the first derivative of -t**3/12 - 27*t**2/8 + 99*t/2 + 2692. Factor x(c).
-(c - 6)*(c + 33)/4
Factor 370*k + 280 - 46*k - 12*k**3 + 579*k**2 - 547*k**2.
-4*(k - 7)*(k + 1)*(3*k + 10)
Suppose -h + 17 = 3*p, 5*h + 2*p + 10 = 6*p. Suppose 63 = h*l - 3. Suppose 25*q**2 - 4*q**2 - 1900 - l*q + 1882 = 0. What is q?
-3/7, 2
Let y(p) be the first derivative of p**3/24 + 99*p**2/16 - 25*p/2 - 1221. Determine x, given that y(x) = 0.
-100, 1
Let h(a) be the third derivative of -5/6*a**3 + 11/36*a**4 + 0*a + 1/36*a**5 + 0 - 48*a**2. Factor h(i).
(i + 5)*(5*i - 3)/3
Let s(a) be the third derivative of 0*a - 1/120*a**5 + a**3 + 0 - 35*a**2 - 1/12*a**4. Solve s(l) = 0.
-6, 2
Let b(g) = 10*g**3 + 6*g**2 + 2*g + 6. Let v = -362 + 356. Let y(f) = -2*f**3 - f**2 + f - 1. Let h(u) = v*y(u) - b(u). Let h(x) = 0. Calculate x.
-2, 0, 2
Let v be 2/(4 - (-28)/(-6)). Let h be ((v - -9) + -3)/(9/6). Suppose 5*f**3 + 33*f - 6*f + 15*f**h - 17*f = 0. Calculate f.
-2, -1, 0
Let w(g) = 57*g - 510. Suppose -825*z + 823*z + 18 = 0. Let t be w(z). Suppose 0 + 2/9*o + 0*o**2 - 2/9*o**t = 0. Calculate o.
-1, 0, 1
Let v = 106907/20 - 5345. Let b(p) be the third derivative of v*p**6 - 7/4*p**4 - 1/70*p**7 - 13*p**2 - 12/5*p**5 + 49/2*p**3 + 0*p + 0. Factor b(q).
-3*(q - 7)**2*(q - 1)*(q + 1)
Let d = 679/4 + -169. Let v be 9/(-36) - (-2)/2. Find i, given that d*i**5 + 9/4*i**3 + 0 + 0*i + v*i**2 + 9/4*i**4 = 0.
-1, 0
Factor -480*n - 4/3*n**2 - 1436/3.
-4*(n + 1)*(n + 359)/3
Let m(i) = 8*i**4 + 68*i**3 - 66*i**2 + 5*i. Let p(v) = 2*v**4 + v. Let a be (-434)/(-70) - 24/20. Let j(w) = a*p(w) - m(w). Factor j(x).
2*x**2*(x - 33)*(x - 1)
Let x = -83639/4 + 752759/36. Factor x*m**4 + 0 + 7/9*m**3 - 14/9*m**2 + 5/9*m.
m*(m - 1)*(m + 5)*(2*m - 1)/9
Let h be (4 + 1 - 4)/(-1). Let l(z) = -2*z - 2. Let x(p) = -25*p**3 - 185*p**2 - 62*p + 8. Let o(a) = h*x(a) - 4*l(a). Factor o(c).
5*c*(c + 7)*(5*c + 2)
Let b = -2009 - -2016. Let c(i) be the second derivative of 1/20*i**5 + 1/36*i**4 + 0*i**2 - 6*i + 1/30*i**6 + 1/126*i**b + 0*i**3 + 0. Factor c(f).
f**2*(f + 1)**3/3
Let p = 59/159 - 2/53. Suppose 28413*w - 28661*w = 0. Determine h, given that -p*h**4 - 1/3*h + 1/3*h**2 + w + 1/3*h**3 = 0.
-1, 0, 1
Let c(d) be the first derivative of -d**4/12 + 7*d**3/9 + 13*d**2/3 - 24*d - 2195. Factor c(q).
-(q - 9)*(q - 2)*(q + 4)/3
Suppose -4*o = 2*u + 4, -521*o + 36 = -518*o - 5*u. Let j(h) be the second derivative of -2/3*h**o - 1/6*h**4 + 1/60*h**5 + 2 + 5*h + 1/2*h**3. Factor j(b).
(b - 4)*(b - 1)**2/3
Let i = -592 + 591. Let p(z) = -3*z**3 - 64*z**2 + 54*z + 22. Let o(s) = -2*s**3 - 2*s**2 - s + 1. Let u(q) = i*p(q) + 6*o(q). Factor u(y).
-(y - 4)*(y - 2)*(9*y + 2)
Let g(f) be the second derivative of f**7/105 + 38*f**6/25 + 222*f**5/25 + 44*f**4/3 - 1475*f. Factor g(u).
2*u**2*(u + 2)**2*(u + 110)/5
Let t = 833/9060 + 358/2265. What is o in o**4 - 11/2*o**2 - 3/4*o**3 - o + 6 + t*o**5 = 0?
-3, -2, 1, 2
Let g be (-2 - 16/8) + (2 - -12). Let z be (3/2)/((-1)/(12/(-9))). Factor 0 + g*k - 5/4*k**z.
-5*k*(k - 8)/4
Suppose -208*f**3 + 122*f - 44*f + 49*f**2 + f**4 + 220*f**3 + 40 = 0. What is f?
-5, -4, -2, -1
Let y be 9/45 - (-76)/20. Factor -6*j + 3*j**3 + 15*j**2 + 14*j**4 - 17*j**4 - 15*j**3 + 6*j**y.
3*j*(j - 2)*(j - 1)**2
Let k = 547 - 543. Factor -3*m**4 - k*m + 3*m**2 + 6*m - 3*m**2 + 2*m + 8*m**3 + 15*m**2.
-m*(m - 4)*(m + 1)*(3*m + 1)
Let r(c) be the first derivative of -c**3/2 - 177*c**2/4 - 87*c + 610. Factor r(k).
-3*(k + 1)*(k + 58)/2
Let b(k) be the second derivative of -k**6/240 - 41*k**5/120 - 79*k**4/48 - 13*k**3/4 + 19*k**2/2 + 86*k. Let l(s) be the first derivative of b(s). Factor l(u).
-(u + 1)**2*(u + 39)/2
Let j be -1 + 4839/387 - (2 - -2). Let z = j - 1/258. Solve 3/2*r**2 + 9 - z*r = 0.
2, 3
Let m(n) = -60*n**2 - 8*n + 2. Let y be m(-2). Let v = -220 - y. Factor -24/7*q - 26/7*q**v - 2/7*q**4 - 8/7 - 12/7*q**3.
-2*(q + 1)**2*(q + 2)**2/7
Let j(s) = 7*s**2 - 3*s - 11. Let c be j(-2). Factor 14*q**3 + c*q**3 + 25*q**2 - 32*q**3.
5*q**2*(q + 5)
Let d(u) be the second derivative of -u**5/450 - 19*u**4/90 - 361*u**3/45 + 9*u**2/2 - 2*u + 8. Let r(f) be the first derivative of d(f). Factor r(j).
-2*(j + 19)**2/15
Suppose 657*f**2 - 588*f - 2*f**2 - 3*f**4 - 8 + 27*f**3 - 1072 - 133*f**2 = 0. Calculate f.
-10, -1, 2, 18
What is m in 0*m - 2/7*m**3 + 58*m**2 + 0 = 0?
0, 203
Let r be 2/(-24) - ((-138)/9 + -51 + 66). Solve -2*m**4 - 5/2*m**3 + 0 + 3/4*m + r*m**2 = 0.
-1, -3/4, 0, 1/2
Let g = 11702 - 11668. Let f(o) be the first derivative of 1/2*o**4 - o**2 + g - 10*o + 10/3*o**3. Let f(p) = 0. Calculate p.
-5, -1, 1
Let w = -49674 + 102591/2. Suppose -320 = -1394*i + 1330*i. Factor 96*x**i + 1698*x**3 + 435*x + w*x**2 + 75/2 - 888*x**4.
3*(x - 5)**2*(4*x + 1)**3/2
Suppose -35*u - 76 + 110 + 14*u**2 + 19*u**2 - 32*u**2 = 0. What is u?
1, 34
Let d = 518/3 - 172. Let k be 340/(-51)*12/(-40). Solve d*j**3 + 32/3*j + 14/3*j**k + 8 = 0 for j.
-3, -2
Let d(q) = -q**3 + 3*q**2 - 36*q + 34. Let k(l) = l**3 + l**2 + 2*l + 1. Let j = -425 + 431. Let w(t) = j*k(t) + 3*d(t). Let w(z) = 0. What is z?
-9, 2
Let m(v) = 47*v + 143. Suppose 2*h - p = -5*p + 14, -2*h - p - 1 = 0. Let b be m(h). Factor -32/7*z - 16/7*z**3 + 2/7*z**4 + 10/7 + 36/7*z**b.
2*(z - 5)*(z - 1)**3/7
Let a(n) be the first derivative of n**5/15 + 25*n**4/3 + 1250*n**3/3 - n**2 + 20*n + 111. Let b(s) be the second derivative of a(s). Solve b(q) = 0 for q.
-25
Let h(m) = 4169*m - 33350. Let w be h(8). Factor -3/8*v**3 + 3*v**w + 0 + 0*v.
-3*v**2*(v - 8)/8
Let t(i) be the first derivative of -6*i**5/55 + 30*i**4/11 - 236*i**3/11 + 540*i**2/11 - 486*i/11 + 206. Factor t(a).
-6*(a - 9)**2*(a - 1)**2/11
Let o(k) be the second derivative of k**4/102 + 3170*k**3/51 + 2512225*k**2/17 - 2062*k. Find y, given that o(y) = 0.
-1585
Let a(o) be the first derivative of 0*o**2 + 34*o + 1/2*