*r + 10 = 0. Find h such that 90*h**3 - 6*h + 3*h**2 - 30*h**3 - 28*h**3 - 29*h**q = 0.
-2, 0, 1
Let v(n) be the second derivative of -n**6/15 + n**4/2 - 2*n**3/3 + 761*n. What is x in v(x) = 0?
-2, 0, 1
What is p in 15/8*p**4 + 0*p + 3/8*p**5 + 0 + 3/2*p**2 + 3*p**3 = 0?
-2, -1, 0
Let o be (54/405)/(4 - 0). Let v(m) be the second derivative of 0 + o*m**5 - 4*m + 1/180*m**6 + 0*m**3 - 5/72*m**4 + 0*m**2. Find k such that v(k) = 0.
-5, 0, 1
Let l(p) = p**2 + 27*p + 1. Let w(r) = -r**3 - 979*r**2 - 320733*r - 34965781. Let u(z) = -6*l(z) + 3*w(z). Determine q, given that u(q) = 0.
-327
Let u(o) be the second derivative of -2/5*o**5 + 42*o**2 + 1/12*o**4 - 2 - 1/30*o**6 + 34/3*o**3 - 106*o. Factor u(w).
-(w - 3)*(w + 2)**2*(w + 7)
Let y(k) be the second derivative of -37*k + 0 - 1/66*k**4 - 576/11*k**2 - 16/11*k**3. Determine z, given that y(z) = 0.
-24
Let x(l) be the second derivative of 21/4*l**5 - 4/3*l**6 + 0*l**2 + 66*l + 0 - 55/6*l**4 + 5/42*l**7 + 20/3*l**3. Let x(i) = 0. Calculate i.
0, 1, 2, 4
Let d(c) be the third derivative of 2*c**7/945 + 1457*c**6/540 + 265717*c**5/270 + 32578*c**4/27 - 132496*c**3/9 - 661*c**2 - 4. Let d(k) = 0. What is k?
-364, -3/2, 1
Let g(c) be the third derivative of c**5/240 - 15*c**4/32 + 43*c**3/12 - 121*c**2. What is y in g(y) = 0?
2, 43
Determine w, given that -45*w**2 + 7 + 35*w**3 - 4*w**5 + 30 - 63*w + 31*w + 17*w**4 - 9 + w**5 = 0.
-2, -1, 2/3, 1, 7
Factor -84*s - 2/3*s**2 + 1040/3.
-2*(s - 4)*(s + 130)/3
Suppose 0 = 4*m - 16, 5*h - 91 = -3*m - 4. Factor 5*i**4 + h*i**3 + 5*i - 4*i**3 - 25*i**2 + 4*i**3 + 40*i**4.
5*i*(i + 1)*(3*i - 1)**2
Let v be 5/(15/(-189))*(1 + -2). Let t = 68 - v. Solve -k**t + 5*k**4 + 55*k**2 - 55*k**2 = 0.
0, 5
Let y(i) be the first derivative of i**6/20 + 9*i**5/40 + i**4/4 - 268*i - 88. Let w(m) be the first derivative of y(m). Suppose w(h) = 0. Calculate h.
-2, -1, 0
What is g in -175590 + 208712 - 5*g**2 + 611*g - 498247 + 2439*g = 0?
305
Let m be -18*(-32)/(-5712) + (-4)/(-7). Factor -8/17*t**3 + 2/17*t**4 + m*t**2 + 0*t + 0.
2*t**2*(t - 2)**2/17
Let p be (-1678)/(-16) + (-34)/(-272). Suppose -11*q - 105 + p = 0. Suppose 10/17*k - 2/17*k**2 + q = 0. What is k?
0, 5
Solve -133 - 40*y - 145 - 136 + 414 - 2*y**2 = 0.
-20, 0
Let h = -24/1141 - -76308/1141. Solve h*w**2 - 1690/7*w - 38/7*w**3 + 1/7*w**4 - 2197/7 = 0 for w.
-1, 13
Let t(b) be the second derivative of -b**4/12 - 10*b**3/3 - 51*b**2/2 - 31*b - 29. Factor t(d).
-(d + 3)*(d + 17)
Let i(j) be the third derivative of j**2 - 1/90*j**5 - 35*j - 5/36*j**4 + 0 + 14/9*j**3. Suppose i(o) = 0. What is o?
-7, 2
Suppose 0 = 256*s - 702 - 186 - 392. Factor -s*w**2 + 25/3*w - 10/3.
-5*(w - 1)*(3*w - 2)/3
Let r = -21061371539/11436227 + 3/1039657. Let t = 1842 + r. Factor -t + 2/11*g**2 - 2/11*g.
2*(g - 2)*(g + 1)/11
Let y = 29239/5 + -5847. Factor -2/5*h**5 + 0*h**2 - 2/5*h**3 - y*h**4 + 0 + 0*h.
-2*h**3*(h + 1)**2/5
Let y(u) be the second derivative of -u**4/12 + 16*u**3/3 - 31*u**2/2 - 3*u - 142. Factor y(h).
-(h - 31)*(h - 1)
Let n be ((-12)/16)/((-12)/32). Factor -3*f**2 - 13 + 0*f**n - 24 + 4 + 0*f**2 - 36*f.
-3*(f + 1)*(f + 11)
Let y(i) be the first derivative of -i**5/20 - 11*i**4/8 + 2*i**3 + 11*i**2/4 - 23*i/4 + 1753. Factor y(g).
-(g - 1)**2*(g + 1)*(g + 23)/4
Let b(s) be the second derivative of -1/33*s**4 + 1/165*s**6 + 1/11*s**2 + 15*s + 0*s**3 + 0*s**5 + 0. Solve b(a) = 0.
-1, 1
Let s = -9423 - -9441. Let m(j) be the first derivative of -1/14*j**2 - 1/7*j + 1/21*j**3 + 1/28*j**4 - s. What is k in m(k) = 0?
-1, 1
Let 3*c**4 + 1/3*c**5 + 0*c - 16*c**3 + 52/3*c**2 + 0 = 0. What is c?
-13, 0, 2
Factor 136/3*w - 23/3*w**2 - 80 + 1/3*w**3.
(w - 15)*(w - 4)**2/3
Let g(s) = 4*s**4 + 9*s**3 + 25*s**2 - 76*s + 2. Let f(o) = -19*o**4 - 35*o**3 - 100*o**2 + 303*o - 9. Let n(c) = -2*f(c) - 9*g(c). Factor n(t).
t*(t - 2)*(t + 3)*(2*t - 13)
Let f = -11678 + 11678. Let u(s) be the second derivative of 18*s - 5/114*s**4 - 2/57*s**3 + f + 0*s**2 - 3/190*s**5. Find b, given that u(b) = 0.
-1, -2/3, 0
Let x = -31453/13266 - -181/134. Let b = 1/11 - x. Determine w, given that 4/9 - 26/9*w**3 + 2/3*w - 4/9*w**5 - b*w**2 - 2*w**4 = 0.
-2, -1, 1/2
Find u, given that -1267/2*u**2 - 1960*u - 1/4*u**5 - 2400 - 405/4*u**3 - 8*u**4 = 0.
-8, -6, -5
Let l(d) be the first derivative of -7/6*d - 53 + 7/18*d**3 - 1/24*d**4 + 1/12*d**2. Let l(g) = 0. Calculate g.
-1, 1, 7
Let z(b) = b**2 - 2*b - 2. Let y(g) = -3*g**2 + 5*g + 5. Let c = -74 + 37. Let p = 31 + c. Let m(v) = p*y(v) - 17*z(v). Factor m(k).
(k + 2)**2
Factor -5*x**2 + 276*x + 120*x - 288 - 736*x - 12 + 180*x.
-5*(x + 2)*(x + 30)
Let t(m) be the third derivative of -m**7/105 - 2*m**6/15 - m**5/15 + 20*m**4/3 + 25*m**3 - 9121*m**2. Let t(c) = 0. What is c?
-5, -1, 3
Let m be 138/30*-5 - -27. Let y(a) be the second derivative of -1/3*a**3 - 3/5*a**2 - 26*a - 1/30*a**m + 1/50*a**5 + 0. Solve y(p) = 0.
-1, 3
Let c(s) = -7*s**2 - 37*s - 36. Let j be c(-4). Let q(w) be the first derivative of j*w**2 - 2*w + 1 + 2/3*w**3. Determine d, given that q(d) = 0.
-1, 1
Let p = 3917 + -3912. Let w(j) be the third derivative of 47*j**2 + 1/8*j**6 + 0 + 1/60*j**p + 19/210*j**7 + 1/48*j**8 + 0*j**3 + 0*j - 1/12*j**4. Factor w(n).
n*(n + 1)**3*(7*n - 2)
Let 10 + 29/2*r - 7/4*r**3 + 11/4*r**2 = 0. What is r?
-10/7, -1, 4
Let j(v) be the first derivative of v**6/2 + 51*v**5/5 + 45*v**4/2 + 498. Factor j(d).
3*d**3*(d + 2)*(d + 15)
Let h = -86661 + 86664. Factor 0 - 17/6*s**h + 0*s + 1/2*s**4 + 5/3*s**2.
s**2*(s - 5)*(3*s - 2)/6
Let u be (-256)/(-240)*(((-18)/(-108))/(1/(-3)))/(-2). Factor 64/5 - 2/15*p**3 + 64/15*p - u*p**2.
-2*(p - 6)*(p + 4)**2/15
Let o(f) be the second derivative of -13*f**5/140 + 16*f**4/21 + 17*f**3/42 - 30*f**2/7 + 2*f + 14. Determine v so that o(v) = 0.
-1, 12/13, 5
Let l(h) = -3*h**2 - 180*h + 5. Let k be l(-60). Let v(r) be the first derivative of 3/20*r**k + 0*r**2 + 0*r**3 - 9/8*r**4 + 9 + 0*r + 1/8*r**6. Factor v(b).
3*b**3*(b - 2)*(b + 3)/4
Let z(x) be the first derivative of -11/9*x**2 + 8/27*x**3 - 2/3*x - 81. Factor z(t).
2*(t - 3)*(4*t + 1)/9
Let g(b) be the second derivative of b**4/72 + 217*b**3/18 + 47089*b**2/12 - 2218*b. Factor g(j).
(j + 217)**2/6
Determine m, given that 9/4*m**2 + 3*m**5 + 81/8*m**4 + 0 + 0*m + 75/8*m**3 = 0.
-2, -1, -3/8, 0
Let f be 2/((-260)/10 - -27). Suppose 0 + 0*w - f*w**2 + 1/4*w**3 = 0. Calculate w.
0, 8
Let t = -614 + 388. Let z = t + 1357/6. Factor -1/6 - z*i**2 + 1/3*i.
-(i - 1)**2/6
Let i = 8/15 - 41/105. Let v(w) = -w**2 - 383*w - 36366. Let h be v(-174). Factor 1/7*m**5 + 1/7*m**4 - i*m**3 - 1/7*m**2 + 0 + h*m.
m**2*(m - 1)*(m + 1)**2/7
Factor 27*w**2 + 1/2*w**4 + 6*w**3 + 81/2 + 54*w.
(w + 3)**4/2
Let u = -13 - -35. Suppose u = -f + 26. What is z in -2 + 4*z**3 - 803*z**2 - 7*z**5 + 3*z - 13*z**4 + z**f + 817*z**2 = 0?
-1, 2/7, 1
Let b(j) be the first derivative of j**3 + 1023*j**2/2 - 1026*j + 58. Find q, given that b(q) = 0.
-342, 1
Let l(r) be the third derivative of -95*r**2 - 1/1080*r**6 + 1 + 0*r**3 + 1/216*r**4 + 0*r + 0*r**5. Factor l(u).
-u*(u - 1)*(u + 1)/9
Suppose 21 = -z + 5*w, -2*w = -3*z + 6*z - 22. Suppose 7*v - 19 = 2*v + k, -z*v - k = -17. Solve 0 + 98/3*a**5 - 58*a**3 + 84*a**v - 152/3*a**2 - 8*a = 0 for a.
-3, -2/7, 0, 1
Let x(r) be the second derivative of -r**5/20 + 2*r**4 - 25*r**3/2 - 50*r**2 + 1906*r. Find p such that x(p) = 0.
-1, 5, 20
Let s = -201870 + 201870. Solve -4*n**4 - 10*n**3 + s - 16/3*n**2 + 0*n + 2/3*n**5 = 0.
-1, 0, 8
Suppose -2*q - 8 = 5*h - 0*h, -q = -h + 11. Let y be q/(-7) + (-14)/49 - -2. Factor -2/3*z**y + 26/9*z**2 + 2/3 - 26/9*z.
-2*(z - 3)*(z - 1)*(3*z - 1)/9
Let v be ((952/20)/(-17))/((91/(-10))/13). Factor 1/2*f**v + f**3 - f - 1/2*f**2 + 0.
f*(f - 1)*(f + 1)*(f + 2)/2
Let c(f) be the second derivative of 8/225*f**6 + 0 - 1/6*f**5 - 1/315*f**7 + 19/45*f**4 + 8/15*f**2 - 28/45*f**3 - 10*f. What is y in c(y) = 0?
1, 2
Suppose 0 = -d - 9, 3*a - 4*d = 94 - 52. Find u, given that 7/2*u + 13*u**a - 1 + 23/2*u**3 + 3*u**4 = 0.
-2, -1, 1/6
Let p(i) be the third derivative of -435483*i**5/40 - 381*i**4/8 - i**3/12 - 10*i**2 - 293*i - 1. Solve p(m) = 0 for m.
-1/1143
Let t(z) be the first derivative of -z**3/4 - 87*z**2/8 + 93*z/2 + 439. Let t(m) = 0. What is m?
-31, 2
Let q(i) = -20*i**3 + 1