f 1/6*c**4 + 625*c**2 - 86*c + 50/3*c**3 + 0. Factor r(z).
2*(z + 25)**2
Find a, given that -342/5 + 18/5*a + 38/5*a**2 - 2/5*a**3 = 0.
-3, 3, 19
Suppose 4*x + 18021 - 17983 = -5*y, -42 = 3*y + 4*x. Factor 2/3*n**y + 2/3 - 5/3*n.
(n - 2)*(2*n - 1)/3
Solve -35 - 1/3*v**3 - 5*v**2 + 121/3*v = 0.
-21, 1, 5
Let f = 756 - 751. Suppose -f*c + i + 15 = 6*i, 0 = -2*i. Factor -1/5*o**4 + 3/5*o**c + 0 + 1/5*o - 3/5*o**2.
-o*(o - 1)**3/5
Factor -60/13 - 154/13*z - 10/13*z**2.
-2*(z + 15)*(5*z + 2)/13
Let y be 5/(8 + 7)*15. Factor -219 - 3*i**3 - 6*i**2 + 4*i**5 + 219 - 3*i**y - 4*i**3.
i**2*(i - 3)*(i + 1)*(i + 2)
What is p in 13448 + 132*p + 196*p - 5*p**2 + 7*p**2 = 0?
-82
Find l such that -3944/5*l + 14/5*l**3 - 864/5*l**2 - 1056/5 = 0.
-4, -2/7, 66
Factor -66/13*z**2 - 54/13*z + 0 - 10/13*z**3 + 2/13*z**4.
2*z*(z - 9)*(z + 1)*(z + 3)/13
Let b(v) be the third derivative of -v**6/480 + 173*v**5/240 + 29*v**4/16 - 12230*v**2. Determine g, given that b(g) = 0.
-1, 0, 174
Solve 648/5 + 1478/5*x**2 + 8*x**4 + 1692/5*x + 1/5*x**5 + 473/5*x**3 = 0.
-18, -2, -1
Let s = 3546 - 3544. Let l(t) be the first derivative of 0*t + 5/3*t**3 + 0*t**s + 19. Find j such that l(j) = 0.
0
Let c be (6/(-10))/(93/155*(-11)/3 + 2). Let 10/13 + 16/13*z**c - 16/13*z - 10/13*z**2 = 0. Calculate z.
-1, 5/8, 1
Let p(a) be the first derivative of -40*a**3 + 7*a**5 + 0*a**2 + 25/6*a**6 + 0*a - 145/2*a**4 + 246. Let p(f) = 0. What is f?
-4, -2/5, 0, 3
Let p(v) be the second derivative of -2*v**4/9 + 35*v**3 + 79*v**2/3 - 6852*v. Determine g so that p(g) = 0.
-1/4, 79
Solve 44*v**2 + 0 + 4*v**4 + 152/5*v - 392/5*v**3 = 0 for v.
-2/5, 0, 1, 19
Suppose -4*q = 6*b - 2*b - 100, -q = 5*b - 21. Suppose 0 = -5*x + q - 6. Factor -7*j + 4*j**2 + 0*j - j + x*j**3 + 0*j**3.
4*j*(j - 1)*(j + 2)
Let f(w) be the third derivative of w**7/210 - w**6/24 + w**5/10 - 374*w**2. Suppose f(u) = 0. What is u?
0, 2, 3
Let f(l) be the first derivative of 1/21*l**3 + 36 - 2/7*l**2 + 0*l. Find x, given that f(x) = 0.
0, 4
Let m be (-6 - -1) + 6877/39. Let t = -171 + m. Factor -1/3*k**4 + 2/3*k**2 + 0*k**3 - t + 0*k.
-(k - 1)**2*(k + 1)**2/3
Let c be (14/36)/((-560)/(-600)). Let u(o) be the first derivative of c*o**3 - 3/8*o**2 - 1/16*o**4 + 1 - 9/4*o. Determine s so that u(s) = 0.
-1, 3
Let i(z) = 32*z**2 - 70*z - 13. Let y(n) = -63*n**2 + 141*n + 27. Let l(d) = -7*d - 1. Let o be l(-4). Let u = o - 32. Let c(s) = u*y(s) - 9*i(s). Factor c(w).
3*(w - 3)*(9*w + 2)
Determine p so that 9806*p**4 - 3040*p - 19716*p**4 - 88*p**3 + 2352*p**2 + 9754*p**4 - 4*p**5 = 0.
-38, -5, 0, 2
Determine l so that 2/5*l**2 + 124*l + 9610 = 0.
-155
Let b(g) = -2*g**5 + 23*g**4 + 45*g**3 - 20*g**2 - 33*g + 17. Let i(j) = 11*j**4 + 23*j**3 - 8*j**2 - 17*j + 9. Let k(h) = -6*b(h) + 10*i(h). Solve k(z) = 0.
-1, 1/3, 1, 3
Let q = 23065/103914 - -3/11546. Factor 4/9 + 2/3*g + q*g**2.
2*(g + 1)*(g + 2)/9
Let f(z) be the third derivative of 14/9*z**3 - 1/15*z**5 + 7*z**2 - 10/9*z**4 + 2*z + 0. Factor f(c).
-4*(c + 7)*(3*c - 1)/3
Suppose 54 - 68 = -s. Suppose -12 + s = d. Factor 4*a**2 + 2*a + d*a**3 + 1177 - 1177.
2*a*(a + 1)**2
Let r(d) = 35*d**4 - 522*d**3 - 107*d**2 + 581*d. Let b(h) = -12*h**4 + 174*h**3 + 36*h**2 - 194*h. Let p(c) = 13*b(c) + 4*r(c). Solve p(x) = 0.
-9/8, 0, 1, 11
Let d = 7399/254 + -2239/127. Let 11 - d*h**3 - 1/2*h**4 - 21/2*h**2 + 23/2*h = 0. What is h?
-22, -1, 1
Let r(s) be the first derivative of s**6/45 + 26*s**5/75 + 17*s**4/10 + 94*s**3/45 - 52*s**2/15 - 8*s - 5396. Find m such that r(m) = 0.
-6, -5, -2, -1, 1
Let -1346*o**3 - 103*o**2 + 1343*o**3 - 1632 + 8867*o - 6349*o = 0. What is o?
-51, 2/3, 16
Let q(d) be the first derivative of 24*d + 9/4*d**4 - 2*d**3 - 40 - 18*d**2. Let q(z) = 0. Calculate z.
-2, 2/3, 2
Let s = -65630/3 + 21877. Let -s*y**3 + 4/3*y + 4/3*y**2 + 0 - 1/3*y**4 = 0. Calculate y.
-2, -1, 0, 2
Let q be -2 + 975/364 + -2 + (-11)/(-7). Let f(w) be the first derivative of 1/2*w**2 - q*w**4 + w + 13 - 1/3*w**3. Determine i, given that f(i) = 0.
-1, 1
Let q be 288/35*8855/7084. Find z such that q - 10*z**2 + 6/7*z**3 + 192/7*z = 0.
-1/3, 6
Suppose 3*y - 20 + 8 = 0. Factor 4*u - 4*u**5 - 331*u**4 + 311*u**4 + 24*u**3 - y*u.
-4*u**3*(u - 1)*(u + 6)
Let o(y) be the second derivative of 80/21*y**4 + 8/35*y**5 + 10*y - 32/21*y**3 - 320/7*y**2 - 4/21*y**6 + 0 - 2/147*y**7. Determine f so that o(f) = 0.
-10, -2, 2
Let s(h) = 32 + 32 - 66 - h**2 - 5*h. Let q be s(-4). Factor w**2 - w**q - w**2 + 2*w**2 + 49 + 14*w.
(w + 7)**2
Let y = 56766/7 + -8109. Suppose 0 - y*f**2 + 0*f - 3/7*f**3 = 0. Calculate f.
-1, 0
Let z(h) = h**3 - 4*h**2 - 7*h - 8. Let j(a) be the first derivative of -a - 27 - 1/3*a**3 - 1/2*a**2. Let g(b) = 6*j(b) - z(b). Suppose g(f) = 0. Calculate f.
-2, -1, 1
Suppose -l - l + 2 = 0. Let t(a) = a**2 - 2*a - 5. Let v(x) be the third derivative of x**3/6 + 71*x**2. Let g(b) = l*t(b) + 2*v(b). Factor g(s).
(s - 3)*(s + 1)
Let s(k) be the second derivative of 5*k**7/63 - 166*k**6/45 + 1433*k**5/50 - 1453*k**4/45 - 4604*k**3/45 - 72*k**2 - 3785*k. Find o, given that s(o) = 0.
-2/5, 2, 5, 27
Factor -1073*l + 2*l**2 - 2603*l + 1219 + 1237 - 14*l**2.
-4*(l + 307)*(3*l - 2)
Let h(q) be the first derivative of 0*q - 4/3*q**3 + 28*q**2 + 126. Find d, given that h(d) = 0.
0, 14
Let r be -2*-3*1 + (-588 - -584). Let g(s) be the first derivative of 10 + 3/2*s**r + 0*s + s**3. Find d such that g(d) = 0.
-1, 0
Let o(v) = -5*v**2 + 180*v + 180. Let i(z) = -5*z**2 + 179*z + 180. Let n(x) = 5*i(x) - 4*o(x). Factor n(l).
-5*(l - 36)*(l + 1)
Let a(g) be the first derivative of g**5/16 + 13*g**4/48 + 7*g**3/24 + 79*g**2/2 - 108. Let f(k) be the second derivative of a(k). Factor f(j).
(3*j + 1)*(5*j + 7)/4
Suppose 37*w - 9553 - 11352 = 0. Let a = -561 + w. What is f in -3/2*f**3 + 0*f - 3*f**a - 3/2*f**5 + 0 + 0*f**2 = 0?
-1, 0
Let o(x) be the first derivative of -x**6/40 + x**5/4 + 7*x**4/4 + x**2 + 20*x - 235. Let n(u) be the second derivative of o(u). Find z, given that n(z) = 0.
-2, 0, 7
Let l(c) be the third derivative of -3*c**6/2 + 5*c**5 - 125*c**4/24 + 1234*c**2 + 7. Find z such that l(z) = 0.
0, 5/6
Let a(v) be the first derivative of v**7/21 + 7*v**6/24 + v**5/3 - 5*v**4/6 - v**2/2 + 46*v + 138. Let q(w) be the second derivative of a(w). Factor q(z).
5*z*(z + 2)**2*(2*z - 1)
Let b(l) be the third derivative of -32*l - 1/525*l**7 + 1/60*l**4 - 1/300*l**6 - 2*l**2 + 0 + 1/150*l**5 + 0*l**3. Find r, given that b(r) = 0.
-1, 0, 1
Let q(m) be the third derivative of -m**5/120 - 40*m**4/3 - 25600*m**3/3 + 34*m**2 + 2. Determine k so that q(k) = 0.
-320
Let i(v) = 14*v**2 - 8. Let y(z) = -z**2. Let o be 10/50 - (-39)/5. Let n = 4 + o. Let g(d) = n*y(d) + i(d). Let g(r) = 0. What is r?
-2, 2
Let c(n) be the second derivative of -n**4/28 - 601*n**3/7 - 1083603*n**2/14 - 3309*n. Factor c(s).
-3*(s + 601)**2/7
Let o be (1/(9/6))/((-3)/(-36)). Let u be 6 + (-5)/10*o. Factor -4*n**2 - u*n**3 + n**3 + n**2.
-n**2*(n + 3)
Factor 17*y**3 + 57*y**2 + 768*y - 13*y**2 - 740*y + y**4.
y*(y + 1)*(y + 2)*(y + 14)
Let p(v) = v - 3. Let a be p(5). Let d be -4 + (12 - (-5 + 11)). Determine l, given that 0*l**d - 7*l - 37 + 40 + 7*l**a - 3*l**2 = 0.
3/4, 1
Let u be 27/(-18) - 93/(-54). Let g = 3753 - 3751. Factor 98/9 + 28/9*s + u*s**g.
2*(s + 7)**2/9
Let f(l) be the second derivative of l**6/165 + 32*l**5/55 - 136*l**4/33 + 2520*l. Determine q so that f(q) = 0.
-68, 0, 4
Determine c, given that 688187*c**2 - 544644*c - 2*c**3 - 690401*c**2 - 44660808 - c**3 = 0.
-246
Let q = -179007 - -1253055/7. Factor q*s**2 + 0 + 9/7*s + 1/7*s**3.
s*(s + 3)**2/7
Let q(s) be the first derivative of 51 - 2/3*s**3 - 4*s + 3*s**2. Solve q(l) = 0.
1, 2
Let m(d) be the first derivative of 98*d**6/15 + 2632*d**5/25 - 1956*d**4/5 + 3808*d**3/15 - 256*d**2/5 - 638. Let m(a) = 0. Calculate a.
-16, 0, 2/7, 2
Let m be (-34)/(-42) - ((-615)/(-492) - 62/56). Factor 46/3 - 44/3*o - m*o**2.
-2*(o - 1)*(o + 23)/3
Suppose 225*u = 4*h + 223*u - 14, -9 = -2*h - u. Let k be (18/8)/((-63)/(-24)). Determine n so that 8/7*n - 4/7*n**3 - 8/7 + k*n**2 - 2/7*n**h = 0.
-2, 1
Suppose 3 = -13*y + 14*y. Factor -8*f**3 + f - 56 - 13*f**3 + 29*f**2 + 20*f**y - 27*f.
-(f - 28)*(f - 2)*(f + 1)
Let o = 399 + -413. Let i be (-768)/2048 + 1 + o/(-80). Let 4*y + 24/5 +