) = 0.
-7
Let r be (((5 - ((-7)/(-7) + 4))/3)/(-4))/6. Factor -5/2*h**3 + 0*h + 0*h**2 + r - 5/6*h**4.
-5*h**3*(h + 3)/6
Let u be (-477 - -478) + (1 + 2 - 1)*1. Let i(o) be the second derivative of -1/38*o**4 + 2/57*o**u + 0*o**2 - 23*o + 1/190*o**5 + 0. Factor i(l).
2*l*(l - 2)*(l - 1)/19
Let c = 279 - 279. Suppose -5*x + 2*m + 13 = c, 4*m + 8 = 11*x - 7*x. Factor -3 + 3*b**2 - 3/4*b**x + 3/4*b.
-3*(b - 4)*(b - 1)*(b + 1)/4
Suppose 4*v + 165 - 9 = 0. Let b = v - -38. Let u(f) = f**2 - f - 1. Let t(h) = -2*h + 2. Let g(a) = b*t(a) - 2*u(a). Find s such that g(s) = 0.
0, 2
Let l be (-384)/704*(-44)/6. Let r(v) be the first derivative of -5/16*v**l - 7/12*v**3 - 17 + 0*v - 1/4*v**2. What is y in r(y) = 0?
-1, -2/5, 0
Let p(l) be the second derivative of l**5/90 + 38*l**4/27 + 73*l**3/27 - 50*l**2/3 - 3033*l. Factor p(o).
2*(o - 1)*(o + 2)*(o + 75)/9
Let u(o) be the first derivative of 7*o**6/6 - o**5 - 5*o**4/4 - 41*o - 3. Let l(r) be the first derivative of u(r). Determine c, given that l(c) = 0.
-3/7, 0, 1
Let x be 5/(-1) + 0 - 3. Let k be 2/x*0 + 5. Solve -4*f**2 - 11*f**4 + 9*f**4 + 5*f - 6*f**3 - k*f = 0 for f.
-2, -1, 0
Let l = -1/265 + 1803/265. Let q = l + -32/15. Find j such that -q*j - 2/3*j**2 + 0 = 0.
-7, 0
Let d be (-255)/(-30) + (12/(-8))/(-3). Let r be d - (-4 + (8 - -2)). Factor -5/3*h**2 - 4/3*h**r + 0 - 1/3*h**4 - 2/3*h.
-h*(h + 1)**2*(h + 2)/3
Let o(g) = 13*g**2 + 14*g - 20. Let k(v) = 23 + 2654*v - 3 - 15*v**2 - 2669*v. Let y(u) = -6*k(u) - 7*o(u). Factor y(r).
-(r - 2)*(r + 10)
Let n(v) be the third derivative of 2*v**7/105 + v**6/5 - 4*v**5/5 - 19*v**4/3 - 14*v**3 - 4*v**2 - 151*v. Find g such that n(g) = 0.
-7, -1, 3
Let d be (24/84)/(1 + (-125)/140). Let f(o) be the second derivative of 17*o + 2*o**2 + 0 - 4/5*o**5 + 2*o**4 - d*o**3 + 2/15*o**6. Factor f(x).
4*(x - 1)**4
Let q(t) = -20*t**2 + 119005*t + 118710. Let u(o) = o**2 - 7000*o - 6983. Let d(i) = -2*q(i) - 35*u(i). Suppose d(c) = 0. What is c?
-1397, -1
Let o(i) be the third derivative of i**7/525 + i**6/100 - i**5/15 + 2188*i**2. Factor o(z).
2*z**2*(z - 2)*(z + 5)/5
Suppose -113*p = -132*p + 114. Suppose 30*w - 120 = p*w. What is f in 0 + 4/5*f**2 - 4/5*f**4 + 2/5*f + 0*f**3 - 2/5*f**w = 0?
-1, 0, 1
Let r(w) = -363*w + 6173. Let u be r(17). Determine d, given that 9/8*d**u + 9/2 - 111/8*d = 0.
1/3, 12
Let v = -94067 - -94070. Factor 200/17 + 280/17*b + 2/17*b**4 + 138/17*b**2 + 28/17*b**v.
2*(b + 2)**2*(b + 5)**2/17
Let l(u) = u**4 + 17*u**3 + 19*u**2 + 11*u - 8. Suppose 147 = 12*n + 291. Let c(t) = t**3 - t**2 - 2. Let g(m) = n*c(m) + 3*l(m). Factor g(f).
3*f*(f + 1)**2*(f + 11)
Let f(i) be the third derivative of i**7/1470 - i**6/210 - 11*i**5/70 - 29*i**4/42 - 55*i**3/42 - 8368*i**2 + 2*i. Let f(h) = 0. Calculate h.
-5, -1, 11
Let j(d) be the second derivative of d**5/60 - 11*d**4/18 - 23*d**3/18 + d + 1499. Factor j(k).
k*(k - 23)*(k + 1)/3
Let c = 3493 + -3481. Let t(f) be the second derivative of c*f**3 + 3/2*f**2 + 0 + 36*f**4 + 22*f. Suppose t(m) = 0. What is m?
-1/12
Let v(b) be the third derivative of 0*b - 1/60*b**5 + 1/672*b**8 + 0*b**4 - 1/105*b**7 + 0 + 84*b**2 + 1/48*b**6 + 0*b**3. Let v(f) = 0. What is f?
0, 1, 2
Let j(v) = 99*v**2 + 5*v + 4. Let d be j(-2). Find c, given that -560*c - 80*c**3 - 129 - d*c**2 - 5*c**4 - 200 + 84 = 0.
-7, -1
Let y(p) = -140*p**3 - p**2 + 3*p + 3. Let r be y(-1). Let m = -139 + r. Factor m*f**2 + 2/13*f**3 + 0 + 0*f.
2*f**3/13
Solve -5*y**2 - 33/4*y - 5/2 = 0.
-5/4, -2/5
Let t(l) = -l**2 + 11*l - 12. Let k(b) = 4*b**2 - 10*b - 14*b**2 + 22*b**2 + 9 - 11*b**2. Let n(x) = -4*k(x) - 3*t(x). Solve n(h) = 0 for h.
0, 7
Factor -168/11*p**2 - 696/11*p + 2/11*p**3 - 64.
2*(p - 88)*(p + 2)**2/11
Let m = 1046773 + -4186909/4. Solve 363/2 - 9/4*b**4 - m*b**3 + 1947/4*b - 753/4*b**2 = 0.
-11, -1/3, 2
Let y(o) = 18*o - 338. Let d be y(28). Let g be 5/(-3) - d/(-78). Factor g*u + 2/13*u**2 + 0.
2*u*(u + 3)/13
Let g(w) = -2*w**3 - 40*w**2 + 321*w - 618. Let x(d) = d**3 - d**2 + d + 2. Let n(h) = g(h) + 3*x(h). Factor n(p).
(p - 34)*(p - 6)*(p - 3)
Let g(k) be the second derivative of k**5/4 - 140*k**4/3 - 1135*k**3/6 - 285*k**2 - 2*k + 178. Determine b so that g(b) = 0.
-1, 114
Let u(m) be the third derivative of m**8/4032 - m**7/28 - m**5/60 - 11*m**4/12 + 49*m**2. Let z(n) be the third derivative of u(n). Factor z(l).
5*l*(l - 36)
Let k(m) = 173*m**2 + 64*m + 12. Let v be k(4). Let s = 15276/5 - v. Let -8*i**3 - 88/5*i + 4/5*i**4 + s*i**2 + 28/5 = 0. What is i?
1, 7
Suppose v = -5*z + 82, z + 231 = 6*v + 235. Let u be (-6)/20*(-8)/12. Suppose 4/5*x + 3/5 + u*x**v = 0. What is x?
-3, -1
Let n(v) = -15*v**2 - 845*v + 1600. Let g(l) = 17*l**2 + 849*l - 1601. Let z(p) = -10*g(p) - 11*n(p). What is d in z(d) = 0?
2, 159
Let o(b) be the third derivative of b**5/12 - 525*b**4/8 + 785*b**3/3 - 8*b**2 + 69*b. Solve o(w) = 0.
1, 314
Let u(r) be the second derivative of -r**5/120 - 5*r**4/3 - 400*r**3/3 + 48*r**2 + 2*r + 75. Let q(p) be the first derivative of u(p). Solve q(b) = 0 for b.
-40
Let s(c) be the third derivative of -15/8*c**4 + 135/4*c**3 + 1/24*c**5 + 0 + 244*c**2 + 0*c. Factor s(d).
5*(d - 9)**2/2
Determine f, given that 40000/9 + 8800/9*f + 484/9*f**2 = 0.
-100/11
Suppose 2*t = -5*z + 2, -t - 2 = 2. What is o in -13 - 14678*o + 1 + o**z - 3*o**2 + 14692*o = 0?
1, 6
Let c be -211 + 205 - 798/(1*-2). Suppose 0 = -c*m + 371*m. Suppose 3/2*y**4 + 0*y - 1/2*y**3 + m + 0*y**2 = 0. Calculate y.
0, 1/3
Let a(v) be the third derivative of -v**5/12 + 145*v**4/6 + 1280*v**3 - 3448*v**2 + v. Factor a(z).
-5*(z - 128)*(z + 12)
Suppose -2185*d + 36 = -2183*d - 4*q, 0 = -5*d - 2*q + 6. What is h in -2/3*h**2 + d*h + 0 = 0?
0, 6
Let y(g) = 372*g - 30501. Let a be y(82). Let h be (2 - 2) + ((-300)/(-35))/3. Suppose 40/7*v**a - 16/7*v**4 - h*v**2 + 2/7*v**5 - 6*v + 36/7 = 0. What is v?
-1, 1, 2, 3
Let b(a) be the third derivative of -1/20*a**5 + 3*a**2 + 0*a**4 + 1/16*a**6 - a + 1/224*a**8 + 0*a**3 + 0 - 1/35*a**7. Factor b(x).
3*x**2*(x - 2)*(x - 1)**2/2
Let p(t) be the third derivative of 5*t**6/24 - 9419*t**5/12 + 923945*t**4 + 739470*t**3 - t**2 - 235*t - 3. Solve p(s) = 0 for s.
-1/5, 942
Let f(c) = -14*c**2 - c - 1. Let s(l) = 22*l**2 - 362*l + 30. Let u(a) = -6*f(a) - s(a). Suppose u(h) = 0. What is h?
-6, 2/31
Suppose -6*s + 4*n = -9*s - 251, 2*s + n = -159. Let j = s - -80. Factor 16*y**2 - 22*y**4 + 12*y**4 + 20*y + 7*y**2 - j*y**2 + 5*y**5 - 15*y**3.
5*y*(y - 2)**2*(y + 1)**2
Let b(a) be the second derivative of -a**5/40 - 17*a**4/24 + 29*a**3/3 + 33*a**2 - 222*a - 3. Determine c, given that b(c) = 0.
-22, -1, 6
Determine q so that -q + 20*q**2 + 5*q**3 + 36*q + 4*q**2 - 4*q**3 + 109*q = 0.
-12, 0
Let u(c) = c**2 + 15*c - 311. Let p be u(-27). Suppose 4*f + p = -2*m + 7, 3*f = 4*m + 12. Factor 0*k**4 + 0 + f*k**2 + 0*k + 2/3*k**3 - 2/3*k**5.
-2*k**3*(k - 1)*(k + 1)/3
Let v be ((-11016)/(-504) + -23)/((-6)/7). What is y in -4/3*y**4 + 0 + 2/3*y**3 - y + v*y**2 + 1/3*y**5 = 0?
-1, 0, 1, 3
Let w(d) be the first derivative of d**4/16 + d**3/3 - 21*d**2/8 - 978. Factor w(y).
y*(y - 3)*(y + 7)/4
Suppose -5*u - 16*y - 33 - 21 = 0, 5*y + 26 = 3*u. Factor -u*i + 12/5 + 2/5*i**2.
2*(i - 3)*(i - 2)/5
Let f(s) be the second derivative of -s**4/20 + 229*s**3/5 - 157323*s**2/10 + 977*s. Factor f(y).
-3*(y - 229)**2/5
Let o(n) be the second derivative of n**5/15 - 41*n**4/24 + 5*n**3/3 + 37*n**2/2 - 16*n + 1. Let j(w) be the first derivative of o(w). Factor j(t).
(t - 10)*(4*t - 1)
Suppose 75*h - 16 = 76*h + 4*y, 0 = -2*h - 5*y - 20. Let d(g) = -g**3 + g**2 - 5*g. Let j be d(h). Factor -4/7*f - 2/7*f**2 + j.
-2*f*(f + 2)/7
Let y(n) be the first derivative of -n**5/360 + 29*n**4/144 - 7*n**3/9 + 23*n**2/2 - 105. Let g(a) be the second derivative of y(a). Factor g(q).
-(q - 28)*(q - 1)/6
Let c be 22/5 + -3 + ((-1940)/(-150) - 9). Let h(t) = -2*t + 2. Let q be h(1). Let -4/3*f**3 + 4*f**2 + c*f + q = 0. What is f?
-1, 0, 4
Suppose 2*a = -2*g - 1220, 6*a - 604 = 7*a - 5*g. Let i = -609 - a. Determine d, given that i + 5/3*d**4 + 7/3*d**2 - 1/3*d**5 - 3*d**3 - 2/3*d = 0.
0, 1, 2
Let t(d) be the third derivative of d**5/15 + 17*d**4/3 - 58*d**2 - 4*d. Suppose t(p) = 0. Calculate p.
-34, 0
Let n(w) = -461*w**2 + 1593*w - 53. Let d(v) = -151*v**2 + 