or m(t).
-2*t*(t + 2)**3*(4*t - 1)/5
Let s(w) be the third derivative of 3/8*w**6 - 3/70*w**7 + 1/560*w**8 + 0*w + 1 + 0*w**4 + 0*w**3 - 5/4*w**5 + 3*w**2. Determine v so that s(v) = 0.
0, 5
Let n(w) = 2*w**3 - 38*w**2 + 22*w + 252. Let f be n(18). Let x(z) be the third derivative of 48*z**2 - z**3 + 0*z + f + 1/60*z**5 + 1/24*z**4. Factor x(s).
(s - 2)*(s + 3)
Let q be (-51)/(1989/(-910)) + -23. Factor -q*y**4 + 1/3*y**3 - 1/3*y**5 + 0 + 1/3*y**2 + 0*y.
-y**2*(y - 1)*(y + 1)**2/3
Suppose 8*h = -5*h - 312. Let t(b) = b**2 + 25*b + 24. Let x be t(h). What is v in -6/5*v + 1/5*v**2 + x = 0?
0, 6
Let w = 381/290 - -27/145. Let g(j) be the second derivative of 0*j**4 + 0*j**2 + 0*j**3 + 0 - 23*j + w*j**5 - 1/6*j**6. Suppose g(y) = 0. What is y?
0, 6
Let k be ((-768)/(-117) - 306/1326) + (-3 - 3). Find x such that 1/3*x**2 + 4/3 - 8/3*x + k*x**5 - 5/3*x**4 + 7/3*x**3 = 0.
-1, 1, 2
Let h = -259 + 397. Factor h*a**2 + 2*a - 8*a - 2*a**3 - 132*a**2 + 2.
-2*(a - 1)**3
Factor 1/3*d**2 + 305/3 + 102*d.
(d + 1)*(d + 305)/3
Solve 226/7*i + 2/7*i**2 + 0 = 0 for i.
-113, 0
Let y(l) = 532*l**2 + 4209*l - 91. Let n(m) = 59*m**2 + 467*m - 10. Let w(h) = -57*n(h) + 6*y(h). Determine z, given that w(z) = 0.
-8, 1/57
Let z(f) be the second derivative of -f**7/840 + f**6/120 - f**5/48 + f**4/48 - 2*f**2 + 4*f - 8. Let h(x) be the first derivative of z(x). Factor h(l).
-l*(l - 2)*(l - 1)**2/4
Suppose 936*q - 1546 - 2198 = 0. Solve -98/3 + 2/3*l**q + 28/3*l**3 + 32*l**2 - 28/3*l = 0.
-7, -1, 1
Solve -49 - 101/4*y**2 + 74*y + 1/4*y**3 = 0 for y.
1, 2, 98
Suppose -36*y - 534*y**2 + 80 - 95 - 332*y**3 - 9*y**4 + 103 - 5*y**4 - 92*y = 0. What is y?
-22, -1, 2/7
Let g(v) be the first derivative of 0*v + 80 + 9*v**2 - 7*v**3 + 3/4*v**4. Find s such that g(s) = 0.
0, 1, 6
Let a(b) = b**3 - 8*b**2 - 19*b - 11. Let p be a(10). Let z be 4*p*3/(-6). Factor g**z - 5*g + 2*g**3 + 3*g - 3*g**2 + 2.
2*(g - 1)**2*(g + 1)
Let s(w) be the third derivative of -w**8/560 - 3*w**7/280 + w**6/30 - 17*w**3/6 + w**2 + 77. Let h(n) be the first derivative of s(n). Factor h(o).
-3*o**2*(o - 1)*(o + 4)
Let i be (7/(-2) + 0)*-2. Let u(x) = -145*x + 294. Let m be u(2). Let -7*a + i*a + m*a**2 + 4*a**3 = 0. What is a?
-1, 0
What is f in 200*f**2 - 27*f**2 - 3*f**3 + 49*f**2 + 13*f**2 - 318*f + 86*f**2 = 0?
0, 1, 106
Determine v, given that -480 - 3/4*v**2 + 483/2*v = 0.
2, 320
Let o(h) = -151*h + 773. Let l be o(5). Let s(p) be the second derivative of 0*p**3 + 0*p**2 + 1/90*p**6 + 0 - l*p + 1/60*p**5 - 1/18*p**4. Factor s(u).
u**2*(u - 1)*(u + 2)/3
Let x = -2/64671 - 38285210/711381. Let u = 54 + x. Factor 0 - 2/11*g**2 + u*g.
-2*g*(g - 1)/11
Let j = 304 - 303. Let y = j - -3. Factor 2/7*h**y - 16/7*h - 2/7*h**5 - 2/7*h**2 + 10/7*h**3 - 8/7.
-2*(h - 2)**2*(h + 1)**3/7
Let b = -313/5 - -994/15. Factor -b*t + 1/6*t**4 - 4/3*t**3 + 7/2*t**2 + 4/3.
(t - 4)*(t - 2)*(t - 1)**2/6
Factor -104*l**3 - 110*l**2 + 51*l**2 + 100 - 28*l**2 - 10*l**2 + l**2 + 104*l - 4*l**4.
-4*(l - 1)*(l + 1)**2*(l + 25)
Factor -446/9*l - 100/9 + 2*l**2.
2*(l - 25)*(9*l + 2)/9
Let z(x) = -x**2 + 9*x - 20. Let d be z(7). Let u be 42/18 - 4/d. Let -3*y**u + 7*y**2 + 3 + 6*y**2 + 6*y**3 - 4*y**2 + 9*y = 0. What is y?
-1
Let x(k) be the first derivative of 13/9*k**3 - 1/15*k**5 + 8 - 17/2*k**2 + 12*k + 1/4*k**4. Factor x(y).
-(y - 3)**2*(y - 1)*(y + 4)/3
Let x(f) = 3*f**3 + 94*f**2 + 30*f - 13. Let p be x(-31). Suppose -4*b**4 + 0*b**4 - 15*b**2 - 20*b**3 - 12*b - 9*b**2 - 22*b**2 + p*b**2 = 0. Calculate b.
-3, -1, 0
Let c = 75/139 + 53/417. Let y(q) be the third derivative of q**4 + 0 - c*q**3 - 24*q**2 - 1/3*q**5 + 0*q. Find t such that y(t) = 0.
1/5, 1
Let x(v) be the second derivative of v**7/42 - v**6/6 - v**5/10 + 5*v**4/6 + v**3/6 - 5*v**2/2 - 187*v. Let x(q) = 0. What is q?
-1, 1, 5
Let r be 11*(-2)/(-132)*3/4*2. Let u(g) be the first derivative of 1/6*g**3 + r*g**4 - 6 + 0*g - 1/10*g**5 - 1/2*g**2. What is j in u(j) = 0?
-1, 0, 1, 2
Let c(z) be the third derivative of -z**6/900 - z**5/75 + 79*z**4/180 + 28*z**3/15 + 4882*z**2. Suppose c(l) = 0. What is l?
-12, -1, 7
Let h(s) = -23*s**3 - 341*s**2 - 163*s + 754. Let k(x) = -12*x**3 - 171*x**2 - 81*x + 366. Let u(o) = 3*h(o) - 5*k(o). Find r, given that u(r) = 0.
-18, -2, 4/3
Suppose -l = 0, 3 = -g - 0*l + 2*l. Let s be 4 + 0 + 4 + g. Find q, given that -12*q**3 + 20*q**5 - 3*q**2 + 16*q - 22*q**s + 11*q**2 - 10*q**4 = 0.
-2, 0, 1
Let g = -467/88 - -2423/440. Factor 0*h + 0 + g*h**5 + 48/5*h**3 - 64/5*h**2 - 12/5*h**4.
h**2*(h - 4)**3/5
Suppose -76 = 5*u - g - 80, 19 = -u + 2*g. Find k such that 0 - 1/4*k**4 + 1/4*k**u - 1/4*k + 1/4*k**2 = 0.
-1, 0, 1
Let p(f) be the second derivative of -2/11*f**2 - 2 - 1/33*f**3 - 4*f + 1/66*f**4. Factor p(i).
2*(i - 2)*(i + 1)/11
Let c(p) be the second derivative of p**6/1260 + p**5/15 + 9*p**4/28 - 37*p**3/6 - 148*p. Let x(z) be the second derivative of c(z). Factor x(w).
2*(w + 1)*(w + 27)/7
Let h = -1679 + 8399/5. Let b(s) be the second derivative of -4*s + 8/9*s**3 + 0 + 13/30*s**4 + h*s**2 + 3/50*s**5. Factor b(x).
2*(x + 3)*(3*x + 2)**2/15
Factor -10*t**2 - 975*t + 2858*t - 1387*t + 200.
-2*(t - 50)*(5*t + 2)
Let d = 5 - -1. Suppose -4*b + 54 = -d. Factor 6*o**4 - 15*o**3 + b*o + 10 - 5*o**2 + 9*o**4 - 20*o**4.
-5*(o - 1)*(o + 1)**2*(o + 2)
Suppose -l**2 - 3*l**2 - 860*l + 418*l + 386*l - 192 = 0. What is l?
-8, -6
Factor 3720187 - 4405*z + 1718*z + 3*z**2 + 1959941 - 2765*z - 2804*z.
3*(z - 1376)**2
Let i(l) be the first derivative of 0*l - 5/3*l**3 - 59 + 0*l**2. Factor i(h).
-5*h**2
Let k = -12079 - -12079. Let z(i) be the third derivative of -5/42*i**4 + 50/21*i**3 + 0 + k*i + 21*i**2 + 1/420*i**5. Suppose z(u) = 0. What is u?
10
Let b(h) be the second derivative of 5*h**4/12 + 50*h**3 + 3055*h**2/2 + 5772*h. Factor b(m).
5*(m + 13)*(m + 47)
Let n = 36 + -34. Let h(p) = p**2 + p. Let i(w) = 2*w**3 - 28*w**2 + 68*w + 98. Let f(t) = n*h(t) + i(t). Factor f(k).
2*(k - 7)**2*(k + 1)
Suppose -1747 = -22*y + 6723. Factor 15376 - 269*p + 4*p**2 + y*p + 380*p.
4*(p + 62)**2
Let h = 86 - 124. Let d be (0/h)/(4/2). Factor d*i**4 + 0 + 9/8*i**3 - 3/4*i**2 - 3/8*i**5 + 0*i.
-3*i**2*(i - 1)**2*(i + 2)/8
Let f = 684139/3 - 228038. Suppose 26/3*a + f + 1/3*a**2 = 0. What is a?
-25, -1
Let r(y) be the second derivative of 4/3*y**3 - 2/5*y**5 + 1/3*y**4 - 50*y + 0*y**2 - 2/15*y**6 + 0. Suppose r(w) = 0. Calculate w.
-2, -1, 0, 1
Let b(x) be the first derivative of 8/27*x**3 + 4/9*x - 5/9*x**2 + 4 - 1/18*x**4. Let b(r) = 0. Calculate r.
1, 2
Factor -1/10*d**3 - 276/5*d - 41/10*d**2 - 1224/5.
-(d + 12)**2*(d + 17)/10
Factor 546987/2*i - 1281/2*i**2 - 77854483/2 + 1/2*i**3.
(i - 427)**3/2
Suppose 60*u + 2 = 61*u. Factor -3*k + k**4 - 6*k**5 - 6*k**2 + 2*k**u + 3*k**4 + 2*k**3 + 7*k**5.
k*(k - 1)*(k + 1)**2*(k + 3)
Suppose 0 = 2*j - 10, 0 = f + 2*j - 9 - 3. Let q be (-8)/(-2) + (1 - 1). Determine n, given that n**4 + 0*n**2 + 4*n**3 + n**f + n**q - 9*n**2 - 16*n = 0.
-2, 0, 2
Let l(t) be the second derivative of 5/21*t**4 + 6/7*t**2 - 5*t + 4 - 2/3*t**3 - 1/35*t**5. Solve l(w) = 0 for w.
1, 3
Suppose -2*m = -0*m - 6186. Suppose -13*b + 6891 = -m. Factor 4*j**2 - b*j + 8*j**3 + 2*j**4 + 768*j + 2*j**4.
4*j**2*(j + 1)**2
Let h(o) be the second derivative of o**6/10 + 9*o**5/4 + 11*o**4/2 - 30*o**3 - 156*o**2 + 2*o + 731. Suppose h(f) = 0. What is f?
-13, -2, 2
Let k(f) be the third derivative of f**6/1200 + 37*f**5/600 + f**4/8 - 18*f**3/5 + 173*f**2 + 6*f. Determine q, given that k(q) = 0.
-36, -3, 2
Suppose 309*q + 17 = 292*q + 51. Let o(k) be the first derivative of -1/2*k**3 - 3/2*k**q + 9/10*k**5 + 13 + 3/2*k**4 + 0*k. Factor o(d).
3*d*(d + 1)**2*(3*d - 2)/2
Let q(y) be the third derivative of 11*y**7/42 - 43*y**6/12 - 4*y**5/3 - y**2 - 1004*y. Factor q(l).
5*l**2*(l - 8)*(11*l + 2)
Suppose -4*u = 3*z + 18, 2*z - 876*u = -881*u - 26. Let v(l) be the first derivative of 7 + 2/3*l**3 - 4*l - l**z. What is g in v(g) = 0?
-1, 2
Let r(j) be the first derivative of j**3/6 - 467*j**2/2 + 218089*j/2 - 580. Determine m, given that r(m) = 0.
467
Let q be (-190)/(-60) + (-196)/168. Factor 4/3*a**q + 0 + 1/3*a**5 - 8/3*a - 5/3*a**4 + 2*a**3.
a*(a - 2)**3*(a + 1)/3
Let w = -23117/9 - -46477/18. Factor 3/2*p**2 - 12*p - w.
3*(p - 9)*(p + 1)/2
Let l(m) = 