6/5*q + 84/5.
-3*(q - 7)*(q - 2)**2/5
Let c be 6/(3/((-6)/(-4))). Suppose d + 3*w = 3 + c, -4*w + 1 = -d. Factor -25 + 6*p**2 + 8*p + 29 - p**2 + p**d.
(p + 1)*(p + 2)**2
Let p(g) be the third derivative of -g**5/30 - 29*g**4/12 - 26*g**3 + 5*g**2 + 14. Let p(m) = 0. Calculate m.
-26, -3
Let r(h) be the second derivative of 3*h**6/100 + 69*h**5/200 + 151*h**4/120 + 79*h**3/60 + 3*h**2/5 - 15*h + 3. Solve r(a) = 0.
-4, -3, -1/3
Let t(m) = m**2 - 4*m - 1. Let w be t(5). Let i be 2/(2/(w + -2)). Factor 4*q**2 + i*q - 2*q**2 - 5*q**2 + 4*q.
-3*q*(q - 2)
Let h(w) = -15*w**3 - 45*w**2 - 40*w. Suppose 0 = -2*p - 0*p - 6. Let i(m) = 8*m**3 + 23*m**2 + 20*m. Let t(z) = p*h(z) - 5*i(z). Determine r so that t(r) = 0.
-2, 0
Let u(k) be the first derivative of 3*k**6/2 + 21*k**5/5 - 17*k**4/4 + k**3 + 101. Factor u(m).
m**2*(m + 3)*(3*m - 1)**2
Let x(i) be the third derivative of 25/6*i**4 - 11/24*i**6 + 5/336*i**8 + 0*i + 1/21*i**7 + 40/3*i**3 - 2/3*i**5 + 0 - 38*i**2. Solve x(s) = 0.
-4, -1, 2
Let -4/7*x**2 - 12100/7 - 440/7*x = 0. Calculate x.
-55
Determine j, given that -300/7 - 660/7*j - 66/7*j**3 - 3/7*j**4 - 423/7*j**2 = 0.
-10, -1
Let x(d) = -7*d + 20. Let t(b) = b - 1. Let p(h) = -2*t(h) - x(h). Let j be p(4). Factor -1/5 + 0*r + 1/5*r**j.
(r - 1)*(r + 1)/5
Let g(q) be the second derivative of q**8/504 - 2*q**7/315 + q**6/180 - 3*q**2/2 - 23*q. Let k(r) be the first derivative of g(r). Factor k(b).
2*b**3*(b - 1)**2/3
Suppose s + 4 = 0, 3*s + 12 = -6*u + 8*u. Let k(p) be the second derivative of 1/140*p**5 - 1/14*p**3 + u*p**4 + 1/7*p**2 - 7*p + 0. What is g in k(g) = 0?
-2, 1
Let p(t) be the second derivative of 5/6*t**3 + 0*t**2 + 5*t + 0 + 5/12*t**4. Determine s, given that p(s) = 0.
-1, 0
Factor -2*j**2 + 5*j**4 + 56*j**3 - 34*j**3 - 10*j - 42*j**3 + 27*j**2.
5*j*(j - 2)*(j - 1)**2
Let m be (-176)/(-20)*5/2. Suppose 5*x + 2 = m. Factor -2*v**2 + x*v - 9*v + v.
-2*v*(v + 2)
Let u(l) = 5*l**2 - 3*l + 3. Let r be u(1). Factor -28 - 5*i - 9 + 7 + r*i**2.
5*(i - 3)*(i + 2)
Let n(z) = -z**3 - 8*z**2 - 6*z + 9. Suppose 2*i - 2 + 16 = 0. Let a be n(i). Factor -2*m**3 - 8*m**a + 24*m**2 - 14*m**2 + 4*m.
-2*m*(m - 2)*(m + 1)
Find b such that 15*b**3 - 5*b**4 - 60*b**2 + 4*b**3 + 10*b**3 + 40*b - 10*b**3 + 11*b**3 = 0.
0, 2
Find j, given that 18 - 3*j**3 - 2*j**3 + 125*j**2 + 702 - 569*j - 271*j = 0.
1, 12
Let k(a) be the third derivative of -125/252*a**4 + 0*a - 1/84*a**6 - 8*a**2 + 0 + 0*a**3 + 5/42*a**5 + 1/2205*a**7. Find v such that k(v) = 0.
0, 5
Factor 14*b + 12*b**4 - 16*b**3 + 2*b**5 + 0*b**5 + 0*b**2 - 7*b**2 - 5*b**2.
2*b*(b - 1)**2*(b + 1)*(b + 7)
Suppose 1 = 5*k - 3*w + 19, 5*k + 14 = -w. Let j = k - -8. Determine z so that -j + 4*z**2 + 2 - 16*z + 5 + 28*z**2 = 0.
1/4
Let d(i) = -i**2 - 20*i - 20. Let l be d(-14). Let g = 196/3 - l. Factor g - 2/3*j**2 + 2/3*j.
-2*(j - 2)*(j + 1)/3
Let c(z) = -4*z**3 + 9*z**2 + 31*z - 41. Let v(t) = 2*t**3 - 5*t**2 - 15*t + 21. Let g(p) = -3*c(p) - 5*v(p). Suppose g(j) = 0. Calculate j.
-3, 1, 3
Let m be 11/((-1155)/40) + (-52)/(-78). Factor m*u**3 - 2/7*u - 8/7 + 8/7*u**2.
2*(u - 1)*(u + 1)*(u + 4)/7
Factor 2/5*q**4 + 6/5*q**3 + 0 + 0*q - 8/5*q**2.
2*q**2*(q - 1)*(q + 4)/5
Let j(i) be the third derivative of i**11/831600 - i**10/126000 + i**9/75600 + 2*i**5/15 - i**2. Let f(o) be the third derivative of j(o). Factor f(c).
2*c**3*(c - 2)*(c - 1)/5
Suppose -138/7*n - 60/7*n**4 + 219/7*n**3 + 117/7*n**2 + 24/7 = 0. Calculate n.
-1, 1/4, 2/5, 4
Suppose 4*j + 4*z = 37 - 25, -6 = -2*z. Let 3*p**2 - 3/4*p**3 + j - 3*p = 0. Calculate p.
0, 2
Let p(a) be the first derivative of -25/6*a + 55/12*a**2 - 46 + 5/24*a**4 - 35/18*a**3. Factor p(f).
5*(f - 5)*(f - 1)**2/6
Let 0*o + 5/3*o**4 - 1/3*o**5 + 0 + 0*o**2 - 2*o**3 = 0. What is o?
0, 2, 3
Let w(t) be the third derivative of 0*t + 0*t**4 + 0 + 1/240*t**6 - 1/120*t**5 + 11*t**2 + 0*t**3. Factor w(v).
v**2*(v - 1)/2
Let a(p) be the second derivative of 2*p + 1/75*p**6 + 0*p**2 - 1/10*p**5 + 3/5*p**3 + 1/10*p**4 + 0. Factor a(w).
2*w*(w - 3)**2*(w + 1)/5
Factor 1/6*c**2 + 1/3*c - 4/3.
(c - 2)*(c + 4)/6
Suppose 9/2*z**3 + 2*z**5 - 31/6*z**4 - 3/2*z**2 + 1/6*z + 0 = 0. Calculate z.
0, 1/4, 1/3, 1
Let s(g) be the first derivative of 2/39*g**3 + 6/13*g**2 + 17 + 18/13*g. Factor s(q).
2*(q + 3)**2/13
Let f be (1 - (20 - 2)/3) + 3. Let b be (-1)/f + 16/(-32). Determine v, given that 2/9*v**3 + 0*v + b*v**2 + 2/9*v**4 + 0 = 0.
-1, 0
Let y(o) be the second derivative of -o**6/10 + 3*o**5/5 - o**4/2 - 2*o**3 + 9*o**2/2 + 62*o. What is n in y(n) = 0?
-1, 1, 3
Let m = 3548/3 + -1182. Let a(u) be the third derivative of -9*u**2 - 1/5*u**5 + 0*u - 1/3*u**4 + m*u**3 + 0. Determine z so that a(z) = 0.
-1, 1/3
Solve 12/5 + 6/5*l + 2/15*l**2 = 0.
-6, -3
Suppose 0 = -24*o - 20*o. Let o + 0*l - 2/9*l**3 - 2/3*l**2 = 0. Calculate l.
-3, 0
Let o(c) = 4*c**2 - c + 7. Let t = 6 - 11. Let r(v) = 3*v**2 - v + 5. Let k = -233 - -240. Let z(h) = k*r(h) + t*o(h). Determine a so that z(a) = 0.
0, 2
Let h(z) be the first derivative of 59/12*z**3 + 3/2*z - 35/8*z**2 - 1 - 37/16*z**4 + 7/20*z**5. Find q, given that h(q) = 0.
2/7, 1, 3
Let a(v) be the second derivative of v**8/9240 + v**7/2310 + v**6/1980 + 3*v**3/2 - 4*v. Let f(o) be the second derivative of a(o). Solve f(w) = 0 for w.
-1, 0
Let z(q) be the second derivative of 24*q - 2/5*q**5 + 0 + q**4 - 2/15*q**6 + 8*q**2 + 16/3*q**3. Determine v, given that z(v) = 0.
-2, -1, 2
Let i(c) be the first derivative of -c**5/150 - c**4/20 + 4*c**3/15 - 12*c**2 - 13. Let b(y) be the second derivative of i(y). Factor b(h).
-2*(h - 1)*(h + 4)/5
What is n in -2/11*n**2 + 50/11 - 50/11*n + 2/11*n**3 = 0?
-5, 1, 5
Let t = 5355 + -10705/2. Suppose -5*k + t*k**2 - 15/2 = 0. What is k?
-1, 3
Let k(u) be the first derivative of -u**4/12 - u**3/6 - 30*u + 23. Let v(y) be the first derivative of k(y). Suppose v(z) = 0. What is z?
-1, 0
Suppose 0 = -3*t + 5*t - 126. Factor -t*q**2 - 92*q**2 + 88 - 3 - 280*q - 20*q**3 - 5.
-5*(q + 4)**2*(4*q - 1)
Suppose -177*z**2 + 5*z**5 - 40*z**4 + 314*z**2 + 29*z**3 - 167*z**2 + 36*z**3 = 0. What is z?
0, 1, 6
Let v(g) be the first derivative of 0*g + 14/3*g**6 + 8/5*g**5 - 7*g**4 - 8/3*g**3 - 5 + 0*g**2. Find w such that v(w) = 0.
-1, -2/7, 0, 1
Factor 3*n**2 + 0 + 14/5*n**3 - 1/5*n**4 + 0*n.
-n**2*(n - 15)*(n + 1)/5
Let d = -8409 + 8413. Factor -1/9 + 4/9*g + 4/9*g**3 - 1/9*g**d - 2/3*g**2.
-(g - 1)**4/9
Let z = 19621 + -58843/3. Factor -z*o + 2/3*o**2 + 50/3.
2*(o - 5)**2/3
Let f(h) be the second derivative of h**4/36 - 35*h**3/18 - 6*h**2 - h - 7. Factor f(q).
(q - 36)*(q + 1)/3
Let r(v) = -v**4 + v**3. Let m(f) = -475*f**2 + 24*f - 8*f**4 + 479*f**2 - 16 + f**5 - 6*f**3 + f**5. Let w(y) = -m(y) + 8*r(y). Determine z so that w(z) = 0.
-2, 1, 2
Let z(g) = 19 - 2 - 2*g**2 - 13*g + 5*g - 4*g. Let i(u) = u**2 - 1. Suppose 2 = 2*f - 0*f. Let j(l) = f*z(l) + 5*i(l). Suppose j(v) = 0. What is v?
2
Let s = 237 - 237. Let c(o) be the second derivative of 2/3*o**3 + 1/21*o**7 - 1/6*o**4 - 3/10*o**5 + s*o**2 + 7*o + 1/15*o**6 + 0. What is x in c(x) = 0?
-2, -1, 0, 1
Let v(y) be the first derivative of y**6/600 + y**5/300 - y**4/120 - y**3/30 + y**2/2 - 11. Let q(t) be the second derivative of v(t). Factor q(a).
(a - 1)*(a + 1)**2/5
Let z(j) be the third derivative of -7*j**5/45 + 61*j**4/18 + 4*j**3 - j**2 - 4*j. Find d such that z(d) = 0.
-2/7, 9
Let u(b) be the second derivative of -b**5/4 - 5*b**4/3 - 25*b**3/6 - 5*b**2 + 57*b. Factor u(q).
-5*(q + 1)**2*(q + 2)
Let s be (0 + (-18)/135)/((-20)/25). Factor 1/6*c - 1/6*c**2 + s - 1/6*c**3.
-(c - 1)*(c + 1)**2/6
Let x(i) be the second derivative of -3*i**5/20 - 2*i**4 - 10*i**3 - 24*i**2 + 24*i. Factor x(l).
-3*(l + 2)**2*(l + 4)
Let t(d) be the third derivative of d**6/40 + 61*d**5/20 + 120*d**4 + 450*d**3 + 143*d**2. Determine s, given that t(s) = 0.
-30, -1
Suppose -73 = -4*z + 23. Let c be 20/z*(-9)/(-15). Suppose 1/2*m + 0 - c*m**2 = 0. Calculate m.
0, 1
Let z(t) be the first derivative of 2/5*t**2 + 1 - 8/15*t**3 - 1/5*t**4 + 8/5*t. Determine o, given that z(o) = 0.
-2, -1, 1
Suppose -5*d = -2*u - 20, 148*u - 16 = -4*d + 153*u. Factor 26/3*p**3 + 16*p**2 + 4/3*p**d + 6*p + 0.
2*p*(p + 3)**2*(2*p + 1)/3
Let l(m) be the second derivative of 243*m**5/80 + 45*m**4/16 - m**3 - 2*m