0?
-4, 8
Let l(p) = 33*p**2 + 660*p + 19. Let f be l(-20). Let i(q) be the first derivative of -3 - 12*q + 14/3*q**3 + f*q**2. Suppose i(z) = 0. What is z?
-3, 2/7
Let t be (34/(-357))/(33/(-385)). Factor -t*w + 2/3 + 2/9*w**2 + 2/9*w**3.
2*(w - 1)**2*(w + 3)/9
Find b, given that 1/2*b**5 + 0 - 9*b**4 + 81/2*b**3 + 0*b**2 + 0*b = 0.
0, 9
Let k = -1934/9 + 215. Let p(q) be the second derivative of 2/27*q**3 + k*q**2 + 1/54*q**4 - 7*q + 0. Factor p(y).
2*(y + 1)**2/9
What is n in 40*n - 31*n**2 - 6*n**4 + 9*n**2 - 14 - 40*n**3 + 42*n**2 = 0?
-7, -1, 1/3, 1
Let v(c) be the third derivative of -c**6/720 - 2*c**5/45 + 303*c**2. What is w in v(w) = 0?
-16, 0
Let m(l) = -l + 4*l + 63 + 0*l - 86*l + 35*l**2 - 2*l**3. Let g(d) = 25*d**3 - 420*d**2 + 995*d - 755. Let r(i) = -3*g(i) - 35*m(i). Factor r(s).
-5*(s - 3)*(s - 2)**2
Let c(x) be the first derivative of 81*x**4/4 - 285*x**3 - 196*x**2 - 44*x + 244. Factor c(j).
(j - 11)*(9*j + 2)**2
Let c(a) be the third derivative of 0*a + a**2 + 1/9*a**4 - 4/27*a**3 - 1/90*a**5 - 1/108*a**6 + 0. Let c(v) = 0. Calculate v.
-2, 2/5, 1
Let c(j) be the first derivative of -2*j**5/15 - 2*j**4/3 - 280. Suppose c(k) = 0. Calculate k.
-4, 0
Determine p so that -2/5*p**3 - 84/5 + 166/5*p - 16*p**2 = 0.
-42, 1
Let k(l) = l + 3. Let n = -8 - -7. Let z be k(n). Factor -z*t**2 - t**2 + 14*t - 8*t.
-3*t*(t - 2)
Let i be ((-14)/(-4) - (-5 - -9))*0. Let b(k) be the second derivative of -1/20*k**5 + 0*k**4 + i + 0*k**2 + 0*k**3 - 1/15*k**6 + 6*k. Factor b(m).
-m**3*(2*m + 1)
Let k(p) = -p**3 + p. Let j(z) = 5*z**3 - 75*z**2 - 105*z - 25. Let c = -4 - 11. Let d(a) = c*k(a) + j(a). Solve d(h) = 0.
-1, -1/4, 5
Let o = 540 - 535. Let h(j) be the third derivative of -1/100*j**o + 0*j**4 - 6*j**2 + 0*j + 0*j**3 + 0 + 1/1050*j**7 + 1/300*j**6. Factor h(t).
t**2*(t - 1)*(t + 3)/5
Suppose -6*l**2 - l**2 - 96 + 19*l**2 - 103*l - 227*l + 9*l**2 = 0. Calculate l.
-2/7, 16
Let r(s) be the first derivative of -2*s**3/21 - 158*s**2/7 - 12482*s/7 + 334. Factor r(u).
-2*(u + 79)**2/7
Let z(g) be the second derivative of g**5/100 - g**4/30 - 29*g**3/30 - 21*g**2/5 + 253*g. Find s such that z(s) = 0.
-3, -2, 7
Let o(t) = t**3 + 16*t**2 + 15*t - 3. Let k be o(-15). Let x be (((-3)/(-18))/1)/(k/(-48)). Solve -10/3*y + x*y**2 + 4/3 - 2/3*y**3 = 0 for y.
1, 2
Factor -814*t**2 - 27*t**3 + 344*t**2 - 5*t**4 - 1125 + 1200*t + 0*t**4 + 107*t**3.
-5*(t - 5)**2*(t - 3)**2
Let r(y) be the third derivative of y**8/20160 - y**6/2160 - y**4/6 - 4*y**2. Let v(c) be the second derivative of r(c). Determine h so that v(h) = 0.
-1, 0, 1
Let y(u) = -u**2 + 7*u - 6. Let m be y(6). Suppose m*r = -3*r + 15. Let -x**5 + 4*x**r + 6*x**2 - 3*x**3 + 4*x**3 - 10*x**3 = 0. Calculate x.
-2, 0, 1
Let -13/4*j**3 + 13/4*j + 3 - 1/4*j**4 - 11/4*j**2 = 0. Calculate j.
-12, -1, 1
Let f(v) be the second derivative of v**7/14 + v**6/10 - 3*v**5/10 - v**4/2 + v**3/2 + 3*v**2/2 - 16*v. Solve f(r) = 0 for r.
-1, 1
Let k(b) be the first derivative of -b**4 - 11/2*b**2 + 19 - 13/3*b**3 - 2*b. Determine o, given that k(o) = 0.
-2, -1, -1/4
Suppose -4*a + 3*o + 148 = o, 2*a - 86 = -2*o. Solve -259*u**3 + a*u**2 - 36*u + 12 - u**4 + 4*u**4 + 241*u**3 = 0.
1, 2
Let z(i) be the first derivative of -4*i**5/5 - 9*i**4 - 28*i**3/3 + 18*i**2 + 32*i + 114. Let z(h) = 0. Calculate h.
-8, -1, 1
Suppose 2*y = t - 135, -2*t - 5*y + y + 294 = 0. Let -24*u**2 + 36*u - t*u**3 + 72*u**3 + 73*u**3 = 0. What is u?
0, 3
Let r(f) be the third derivative of f**8/5880 + f**7/2940 - f**6/280 + f**5/210 - 5*f**4/8 + f**2. Let k(j) be the second derivative of r(j). Factor k(u).
2*(u - 1)*(u + 2)*(4*u - 1)/7
Suppose -2*z - 5*f - 24 = -4*z, -4*z = -2*f - 16. Determine h, given that z*h + 2*h**3 - 1 - 5 - 4*h**2 + 6 = 0.
0, 1
Let c = -1474 + 11793/8. Let g(n) be the first derivative of 0*n - 1/8*n**3 + c*n**2 - 1 + 1/32*n**4. Factor g(x).
x*(x - 2)*(x - 1)/8
Let w(a) = -10*a**4 + 10*a**3 + 15*a**2 - 10*a. Let d(h) = 15*h**4 - 15*h**3 - 23*h**2 + 15*h. Let i(l) = 5*d(l) + 8*w(l). Find s, given that i(s) = 0.
-1, 0, 1
Suppose 15*m - 46 = 59. Let u(g) be the first derivative of 6*g**2 - 9*g - g**4 + 2/3*g**3 - 1/5*g**5 + m. Factor u(p).
-(p - 1)**2*(p + 3)**2
Suppose 2*y - 3*y + 9 = 0. Let b = y - 6. Determine z, given that -12*z - 72*z**2 - 135*z**b + 5 + 1 - 6 - 75*z**4 = 0.
-1, -2/5, 0
Let o(r) be the third derivative of -r**7/210 + r**6/20 + r**5/4 + r**4/3 + 178*r**2 + 2*r. Solve o(i) = 0 for i.
-1, 0, 8
Suppose 0 = -18*b - 23 + 77. Suppose -5*t = b*h - 3, 2*h + 16*t - 2 = 15*t. Factor -5/4*j**2 + h - 2*j.
-(j + 2)*(5*j - 2)/4
Let v(i) be the first derivative of 2/5*i + 1/10*i**4 - 23 + 2/5*i**3 + 3/5*i**2. Factor v(t).
2*(t + 1)**3/5
Let r be 0/((9 + -19)/10). What is j in r + 0*j - 1/2*j**2 = 0?
0
Let r(d) be the first derivative of 2*d**6 - 9*d**5 + 9*d**4 + 4*d**3 + 72. Factor r(j).
3*j**2*(j - 2)**2*(4*j + 1)
Let w(c) be the third derivative of c**6/24 - c**5/2 + 5*c**4/3 + c**2 + 15. Factor w(r).
5*r*(r - 4)*(r - 2)
Let d(n) be the first derivative of -n**5/30 + 3*n**3 + 22*n**2 - 6. Let j(s) be the second derivative of d(s). Suppose j(a) = 0. What is a?
-3, 3
Let y(v) = v**3 - 2*v**2 + 6*v - 5. Let o be y(1). Let n(h) be the first derivative of 10 - 2/3*h**3 + 0*h**2 - 1/2*h**4 + o*h. Suppose n(j) = 0. Calculate j.
-1, 0
Let v = 273 - 271. Let z(c) be the first derivative of -c - 1/3*c**3 - c**v + 2. Let z(k) = 0. Calculate k.
-1
Let f be ((-14)/(-77))/(((-25)/(-50))/(11/6)). Find a, given that -f + 1/3*a**4 + a - a**3 + 1/3*a**2 = 0.
-1, 1, 2
Suppose 30 = 3*r - 5*a, -22 = -2*r - 3*a + 7*a. Factor -222*m**2 + r*m**4 + 222*m**2 - 5*m**3.
5*m**3*(m - 1)
Suppose 18 = 5*c - 7. Let z(d) = 47*d**3 + 17*d**2 - 42*d - 7. Let v(t) = 71*t**3 + 26*t**2 - 63*t - 10. Let a(n) = c*v(n) - 8*z(n). Factor a(f).
-3*(f - 1)*(f + 1)*(7*f + 2)
Let a(z) be the first derivative of -6*z - 2/3*z**3 - 3 + 5*z**2 - 1/2*z**4. Factor a(h).
-2*(h - 1)**2*(h + 3)
Let s(j) be the second derivative of -j**5/50 - 2*j**4/5 - 7*j**3/5 - 2*j**2 - 438*j - 1. Find y, given that s(y) = 0.
-10, -1
Let c(r) be the second derivative of -r**5/110 - 7*r**4/66 - 8*r**3/33 + 16*r**2/11 - 50*r. Factor c(k).
-2*(k - 1)*(k + 4)**2/11
Let m(z) be the third derivative of -z**6/480 - 73*z**5/240 - 57*z**4/4 - 54*z**3 - 248*z**2. Factor m(n).
-(n + 1)*(n + 36)**2/4
Let -5/2*k**4 + 0 + 0*k**2 - 1/2*k**5 - 3*k**3 + 0*k = 0. Calculate k.
-3, -2, 0
Factor -1/9*p**3 + 8/3*p**2 - 64/3*p + 512/9.
-(p - 8)**3/9
Let p(w) be the third derivative of -1/4*w**5 + 0*w + 1/24*w**6 + 0 + 5/8*w**4 - 5/6*w**3 - 4*w**2. Factor p(i).
5*(i - 1)**3
Let o = 562 + -562. Let b(g) be the third derivative of 1/30*g**5 - 1/18*g**4 + o*g**6 - 2*g**2 - 1/315*g**7 + 0*g + 0 + 0*g**3. Factor b(j).
-2*j*(j - 1)**2*(j + 2)/3
Suppose -2*z + 0*z + a + 14 = 0, 4*a - 10 = -3*z. Factor 15*h**4 - 21*h**5 + 69 - 69 + z*h**3.
-3*h**3*(h - 1)*(7*h + 2)
Let n(d) = d**5 + d**4 - d**3 + d + 2. Let l(w) = -42*w**5 - 36*w**4 + 262*w**3 + 506*w**2 + 306*w + 28. Let p(z) = 2*l(z) + 28*n(z). Let p(g) = 0. What is g?
-2, -1, -2/7, 7/2
Factor -3/2*m**2 - 60*m - 600.
-3*(m + 20)**2/2
Let m = 2764 - 2762. Suppose 46/3*o + 8/3*o**m - 4 = 0. Calculate o.
-6, 1/4
Let k(x) = x**3 + 2*x**2 - 6*x - 5. Let c be k(-4). Let f = c - -22. Find b such that -3*b**4 + 3*b**3 - f*b**3 + 9*b**2 - 12*b**2 = 0.
-1, 0
Let f = 17007 + -16952. Factor 110*k**2 + 0 - 785/6*k**3 - 30*k + f*k**4 - 15/2*k**5.
-5*k*(k - 3)**2*(3*k - 2)**2/6
Let r(y) = -4*y**4 + 8*y**3 - 8*y**2 - 8*y + 12. Let i(s) = 11*s - 1. Let c be i(-1). Let u(m) = m**2 - 1. Let p(t) = c*u(t) - r(t). Factor p(h).
4*h*(h - 2)*(h - 1)*(h + 1)
Let n(x) be the second derivative of -65/12*x**4 - 10*x**2 - 10*x**3 - 3/2*x**5 - 1/6*x**6 - 3*x + 0. Suppose n(p) = 0. What is p?
-2, -1
Find r such that 8*r - 107 - 4*r + 2*r**2 + 0*r + 109 = 0.
-1
Let k(v) be the first derivative of v**5 + 55*v**4/4 + 200*v**3/3 + 120*v**2 + 295. Determine y so that k(y) = 0.
-4, -3, 0
Let c(f) be the second derivative of -5*f**4/12 - 13*f**3/3 - 21*f**2/2 + 8*f. Let a(k) = -5*k**2 - 25*k - 20. Let b(z) = 6*a(z) - 5*c(z). Factor b(m).
-5*(m + 1)*(m + 3)
Let z(b) = -9*b**3 - 8*b**2 - 15*b - 8. Let p be z(-1). Let r(n) be the first derivative of -1/3*n**2 + 0*n + p - 25/24*n**4 - 10/9*n**3. Fa